%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP124-8.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 12:35:48 PM UTC 2026
% Result : Satisfiable 5.87s 1.56s
% Output : Saturation 8.43s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
next(e_0,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
next(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
greater(e_1,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
greater(e_4,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
greater(e_5,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
greater(e_5,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
greater(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
greater(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y,Z] :
( equalish(Y,Z)
| ~ cycle(X,Z)
| ~ cycle(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] :
( cycle(X,e_4)
| cycle(X,e_3)
| cycle(X,e_2)
| cycle(X,e_1)
| cycle(X,e_0)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
cycle(e_5,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X,Y,W,Z,Z1] :
( equalish(Y,Z1)
| ~ next(Z,Z1)
| ~ greater(Y,e_0)
| ~ next(X,W)
| ~ cycle(W,Z)
| ~ cycle(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X,Z1,Y,W,Z2] :
( ~ greater(Z1,Z2)
| ~ greater(Y,X)
| ~ next(Y,W)
| ~ cycle(W,Z2)
| ~ cycle(Y,e_0)
| ~ cycle(X,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,Y] :
( ~ greater(Y,X)
| ~ product(X,e_1,Y)
| ~ cycle(X,e_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X,Y,Z,X1] :
( equalish(Z,X1)
| ~ next(X,X1)
| ~ greater(Y,e_0)
| ~ product(X,e_1,Z)
| ~ cycle(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
group_element(e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [X,Y] :
( product1(X,Y,e_5)
| product1(X,Y,e_4)
| product1(X,Y,e_3)
| product1(X,Y,e_2)
| product1(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product1(X,Y,Z)
| ~ product1(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product1(X,Z,Y)
| ~ product1(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product1(Z,Y,X)
| ~ product1(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [X] : product1(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [X,Y] :
( product2(X,Y,e_5)
| product2(X,Y,e_4)
| product2(X,Y,e_3)
| product2(X,Y,e_2)
| product2(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product2(X,Y,Z)
| ~ product2(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product2(X,Z,Y)
| ~ product2(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product2(Z,Y,X)
| ~ product2(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,axiom,
! [X] : product2(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
! [X,Y,Z1,Z2] :
( product2(Z2,Y,X)
| ~ product1(Z1,X,Z2)
| ~ product1(X,Y,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,plain,
next(e_0,e_1),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f65,plain,
next(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
next(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f67,plain,
next(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f68,plain,
next(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f69,plain,
greater(e_1,e_0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f70,plain,
greater(e_2,e_0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f71,plain,
greater(e_3,e_0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f72,plain,
greater(e_4,e_0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f73,plain,
greater(e_5,e_0),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f74,plain,
greater(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f75,plain,
greater(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f76,plain,
greater(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f77,plain,
greater(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f78,plain,
greater(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f79,plain,
greater(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f80,plain,
greater(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f81,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f82,plain,
greater(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f83,plain,
greater(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f84,plain,
! [Y,Z] :
( equalish(Y,Z)
| ! [X] :
( ~ cycle(X,Z)
| ~ cycle(X,Y) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f85,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ cycle(X0,X2)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f86,plain,
! [X0] :
( cycle(X0,e_4)
| cycle(X0,e_3)
| cycle(X0,e_2)
| cycle(X0,e_1)
| cycle(X0,e_0)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f87,plain,
cycle(e_5,e_0),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f88,plain,
! [Y,Z1] :
( equalish(Y,Z1)
| ! [Z] :
( ~ next(Z,Z1)
| ~ greater(Y,e_0)
| ! [X,W] :
( ~ next(X,W)
| ~ cycle(W,Z)
| ~ cycle(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f89,plain,
! [X0,X1,X2,X3,X4] :
( equalish(X1,X4)
| ~ next(X3,X4)
| ~ greater(X1,e_0)
| ~ next(X0,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f90,plain,
! [Z1,Z2] :
( ~ greater(Z1,Z2)
| ! [X,Y] :
( ~ greater(Y,X)
| ! [W] :
( ~ next(Y,W)
| ~ cycle(W,Z2)
| ~ cycle(Y,e_0)
| ~ cycle(X,Z1) ) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f91,plain,
! [X0,X1,X2,X3,X4] :
( ~ greater(X1,X4)
| ~ greater(X2,X0)
| ~ next(X2,X3)
| ~ cycle(X3,X4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f92,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ product(X0,e_1,X1)
| ~ cycle(X0,e_0) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f93,plain,
! [Z,X1] :
( equalish(Z,X1)
| ! [X] :
( ~ next(X,X1)
| ! [Y] :
( ~ greater(Y,e_0)
| ~ product(X,e_1,Z)
| ~ cycle(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f94,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ next(X0,X3)
| ~ greater(X1,e_0)
| ~ product(X0,e_1,X2)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f96,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f97,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f98,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f99,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f100,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f101,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f102,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f103,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f104,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f105,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f106,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f107,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f108,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f109,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f110,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f111,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f112,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f113,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f114,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f115,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f116,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f117,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f118,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f119,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f120,plain,
! [X0,X1] :
( product1(X0,X1,e_5)
| product1(X0,X1,e_4)
| product1(X0,X1,e_3)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f121,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product1(X,Y,Z)
| ~ product1(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product1(X0,X1,X3)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f123,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product1(X,Z,Y)
| ~ product1(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f55]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product1(X0,X3,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f125,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product1(Z,Y,X)
| ~ product1(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f56]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product1(X3,X1,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f127,plain,
! [X0] : product1(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f128,plain,
! [X0,X1] :
( product2(X0,X1,e_5)
| product2(X0,X1,e_4)
| product2(X0,X1,e_3)
| product2(X0,X1,e_2)
| product2(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f129,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product2(X,Y,Z)
| ~ product2(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f59]) ).
fof(f130,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f131,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product2(X,Z,Y)
| ~ product2(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f60]) ).
fof(f132,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product2(X0,X3,X2)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f133,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product2(Z,Y,X)
| ~ product2(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f61]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product2(X3,X1,X2)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
! [X0] : product2(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f136,plain,
! [X,Y,Z2] :
( product2(Z2,Y,X)
| ! [Z1] :
( ~ product1(Z1,X,Z2)
| ~ product1(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f63]) ).
fof(f137,plain,
! [X0,X1,X2,X3] :
( product2(X3,X1,X0)
| ~ product1(X2,X0,X3)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f138,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product1(X0,X0,X1) ),
inference(resolution,[status(thm)],[f127,f122]) ).
fof(f139,plain,
! [X0,X1] :
( product2(X0,X1,X0)
| ~ product1(X0,X1,X0) ),
inference(resolution,[status(thm)],[f127,f137]) ).
fof(f140,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product1(X0,X1,X0) ),
inference(resolution,[status(thm)],[f124,f127]) ).
fof(f141,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product1(X0,X1,X1) ),
inference(resolution,[status(thm)],[f126,f127]) ).
fof(f143,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product2(X0,X0,X1) ),
inference(resolution,[status(thm)],[f130,f135]) ).
fof(f144,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f138,f127]) ).
fof(f145,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product2(X0,X1,X0) ),
inference(resolution,[status(thm)],[f132,f135]) ).
fof(f146,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product2(X0,X1,X1) ),
inference(resolution,[status(thm)],[f134,f135]) ).
fof(f152,plain,
! [X0] :
( equalish(X0,e_0)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f85,f87]) ).
fof(f153,plain,
( cycle(e_5,e_4)
| cycle(e_5,e_3)
| cycle(e_5,e_2)
| cycle(e_5,e_1)
| cycle(e_5,e_0) ),
inference(resolution,[status(thm)],[f86,f99]) ).
fof(f154,plain,
( cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_1)
| cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f86,f98]) ).
fof(f155,plain,
( cycle(e_3,e_4)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f86,f97]) ).
fof(f156,plain,
( cycle(e_2,e_4)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f86,f96]) ).
fof(f157,plain,
( cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f86,f95]) ).
fof(f158,definition,
( sQ0_spl
<=> cycle(e_5,e_0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f161,definition,
( sQ1_spl
<=> cycle(e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( ~ sQ1_spl
| cycle(e_5,e_1) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,definition,
( sQ2_spl
<=> cycle(e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ2_spl
| cycle(e_5,e_2) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f166,plain,
( sQ2_spl
| ~ cycle(e_5,e_2) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,definition,
( sQ3_spl
<=> cycle(e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( ~ sQ3_spl
| cycle(e_5,e_3) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,definition,
( sQ4_spl
<=> cycle(e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( ~ sQ4_spl
| cycle(e_5,e_4) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f172,plain,
( sQ4_spl
| ~ cycle(e_5,e_4) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f153,f158,f161,f164,f167,f170]) ).
fof(f174,definition,
( sQ5_spl
<=> cycle(e_4,e_0) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ5_spl
| cycle(e_4,e_0) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,definition,
( sQ6_spl
<=> cycle(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ6_spl
| cycle(e_4,e_1) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,definition,
( sQ7_spl
<=> cycle(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( ~ sQ7_spl
| cycle(e_4,e_2) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,definition,
( sQ8_spl
<=> cycle(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( ~ sQ8_spl
| cycle(e_4,e_3) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f185,plain,
( sQ8_spl
| ~ cycle(e_4,e_3) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,definition,
( sQ9_spl
<=> cycle(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ9_spl
| cycle(e_4,e_4) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f188,plain,
( sQ9_spl
| ~ cycle(e_4,e_4) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f154,f174,f177,f180,f183,f186]) ).
fof(f190,definition,
( sQ10_spl
<=> cycle(e_3,e_0) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( ~ sQ10_spl
| cycle(e_3,e_0) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,definition,
( sQ11_spl
<=> cycle(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( ~ sQ11_spl
| cycle(e_3,e_1) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,definition,
( sQ12_spl
<=> cycle(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ12_spl
| cycle(e_3,e_2) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,definition,
( sQ13_spl
<=> cycle(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ13_spl
| cycle(e_3,e_3) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f201,plain,
( sQ13_spl
| ~ cycle(e_3,e_3) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,definition,
( sQ14_spl
<=> cycle(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ14_spl
| cycle(e_3,e_4) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f204,plain,
( sQ14_spl
| ~ cycle(e_3,e_4) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f155,f190,f193,f196,f199,f202]) ).
fof(f206,definition,
( sQ15_spl
<=> cycle(e_2,e_0) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ15_spl
| cycle(e_2,e_0) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,definition,
( sQ16_spl
<=> cycle(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ16_spl
| cycle(e_2,e_1) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,definition,
( sQ17_spl
<=> cycle(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ17_spl
| cycle(e_2,e_2) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,definition,
( sQ18_spl
<=> cycle(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ18_spl
| cycle(e_2,e_3) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f217,plain,
( sQ18_spl
| ~ cycle(e_2,e_3) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,definition,
( sQ19_spl
<=> cycle(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( ~ sQ19_spl
| cycle(e_2,e_4) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f220,plain,
( sQ19_spl
| ~ cycle(e_2,e_4) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f156,f206,f209,f212,f215,f218]) ).
fof(f222,definition,
( sQ20_spl
<=> cycle(e_1,e_0) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ20_spl
| cycle(e_1,e_0) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,definition,
( sQ21_spl
<=> cycle(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ21_spl
| cycle(e_1,e_1) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,definition,
( sQ22_spl
<=> cycle(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ22_spl
| cycle(e_1,e_2) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,definition,
( sQ23_spl
<=> cycle(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ23_spl
| cycle(e_1,e_3) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f233,plain,
( sQ23_spl
| ~ cycle(e_1,e_3) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,definition,
( sQ24_spl
<=> cycle(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ24_spl
| cycle(e_1,e_4) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f236,plain,
( sQ24_spl
| ~ cycle(e_1,e_4) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f157,f222,f225,f228,f231,f234]) ).
fof(f238,plain,
! [X0,X1,X2,X3] :
( equalish(e_5,X3)
| ~ next(X2,X3)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_5) ),
inference(resolution,[status(thm)],[f89,f73]) ).
fof(f239,plain,
! [X0,X1,X2,X3] :
( equalish(e_4,X3)
| ~ next(X2,X3)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f89,f72]) ).
fof(f240,plain,
! [X0,X1,X2,X3] :
( equalish(e_3,X3)
| ~ next(X2,X3)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f89,f71]) ).
fof(f241,plain,
! [X0,X1,X2,X3] :
( equalish(e_2,X3)
| ~ next(X2,X3)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f89,f70]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( equalish(e_1,X3)
| ~ next(X2,X3)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f89,f69]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( ~ greater(X1,X3)
| ~ greater(e_5,X0)
| ~ next(e_5,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f91,f87]) ).
fof(f244,plain,
! [X0] :
( ~ greater(X0,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f92,f87]) ).
fof(f245,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1)
| ~ cycle(X0,e_5) ),
inference(resolution,[status(thm)],[f94,f73]) ).
fof(f246,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f94,f72]) ).
fof(f247,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f94,f71]) ).
fof(f248,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f94,f70]) ).
fof(f249,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f94,f69]) ).
fof(f250,plain,
! [X0] :
( product1(X0,e_5,e_5)
| product1(X0,e_5,e_4)
| product1(X0,e_5,e_3)
| product1(X0,e_5,e_2)
| product1(X0,e_5,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f120,f99]) ).
fof(f251,plain,
! [X0] :
( product1(X0,e_4,e_5)
| product1(X0,e_4,e_4)
| product1(X0,e_4,e_3)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f120,f98]) ).
fof(f252,plain,
! [X0] :
( product1(X0,e_3,e_5)
| product1(X0,e_3,e_4)
| product1(X0,e_3,e_3)
| product1(X0,e_3,e_2)
| product1(X0,e_3,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f120,f97]) ).
fof(f253,plain,
! [X0] :
( product1(X0,e_2,e_5)
| product1(X0,e_2,e_4)
| product1(X0,e_2,e_3)
| product1(X0,e_2,e_2)
| product1(X0,e_2,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f120,f96]) ).
fof(f254,plain,
! [X0] :
( product1(X0,e_1,e_5)
| product1(X0,e_1,e_4)
| product1(X0,e_1,e_3)
| product1(X0,e_1,e_2)
| product1(X0,e_1,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f120,f95]) ).
fof(f255,plain,
! [X0] :
( product2(X0,e_5,e_5)
| product2(X0,e_5,e_4)
| product2(X0,e_5,e_3)
| product2(X0,e_5,e_2)
| product2(X0,e_5,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f128,f99]) ).
fof(f256,plain,
! [X0] :
( product2(X0,e_4,e_5)
| product2(X0,e_4,e_4)
| product2(X0,e_4,e_3)
| product2(X0,e_4,e_2)
| product2(X0,e_4,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f128,f98]) ).
fof(f257,plain,
! [X0] :
( product2(X0,e_3,e_5)
| product2(X0,e_3,e_4)
| product2(X0,e_3,e_3)
| product2(X0,e_3,e_2)
| product2(X0,e_3,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f128,f97]) ).
fof(f258,plain,
! [X0] :
( product2(X0,e_2,e_5)
| product2(X0,e_2,e_4)
| product2(X0,e_2,e_3)
| product2(X0,e_2,e_2)
| product2(X0,e_2,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f128,f96]) ).
fof(f259,plain,
! [X0] :
( product2(X0,e_1,e_5)
| product2(X0,e_1,e_4)
| product2(X0,e_1,e_3)
| product2(X0,e_1,e_2)
| product2(X0,e_1,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f128,f95]) ).
fof(f261,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_4)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f235,f85]) ).
fof(f262,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_3)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f232,f85]) ).
fof(f263,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_2)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f229,f85]) ).
fof(f264,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_1)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f226,f85]) ).
fof(f265,plain,
! [X0] :
( ~ sQ20_spl
| ~ greater(X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f223,f92]) ).
fof(f266,plain,
! [X0,X1,X2,X3] :
( ~ sQ20_spl
| ~ greater(X1,X3)
| ~ greater(e_1,X0)
| ~ next(e_1,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f223,f91]) ).
fof(f267,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f223,f85]) ).
fof(f268,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f219,f85]) ).
fof(f269,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f216,f85]) ).
fof(f270,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f213,f85]) ).
fof(f271,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_1)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f210,f85]) ).
fof(f272,plain,
! [X0] :
( ~ sQ15_spl
| ~ greater(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f207,f92]) ).
fof(f273,plain,
! [X0,X1,X2,X3] :
( ~ sQ15_spl
| ~ greater(X1,X3)
| ~ greater(e_2,X0)
| ~ next(e_2,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f207,f91]) ).
fof(f274,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f207,f85]) ).
fof(f275,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_4)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f203,f85]) ).
fof(f276,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f200,f85]) ).
fof(f277,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_2)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f197,f85]) ).
fof(f278,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_1)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f194,f85]) ).
fof(f279,plain,
! [X0] :
( ~ sQ10_spl
| ~ greater(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f191,f92]) ).
fof(f280,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ greater(X1,X3)
| ~ greater(e_3,X0)
| ~ next(e_3,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f191,f91]) ).
fof(f281,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f191,f85]) ).
fof(f282,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f187,f85]) ).
fof(f283,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_3)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f184,f85]) ).
fof(f284,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_2)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f181,f85]) ).
fof(f285,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_1)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f178,f85]) ).
fof(f286,plain,
! [X0] :
( ~ sQ5_spl
| ~ greater(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f175,f92]) ).
fof(f287,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| ~ greater(X1,X3)
| ~ greater(e_4,X0)
| ~ next(e_4,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f175,f91]) ).
fof(f288,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f175,f85]) ).
fof(f289,plain,
( ~ sQ4_spl
| equalish(e_4,e_0) ),
inference(resolution,[status(thm)],[f171,f152]) ).
fof(f290,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_4)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f171,f85]) ).
fof(f291,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(e_4,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f239,f187]) ).
fof(f292,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(e_4,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f239,f203]) ).
fof(f293,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| equalish(e_4,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f239,f219]) ).
fof(f294,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| equalish(e_4,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f239,f235]) ).
fof(f295,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| equalish(e_4,X2)
| ~ next(X1,X2)
| ~ next(e_5,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f239,f171]) ).
fof(f296,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f240,f184]) ).
fof(f297,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f240,f200]) ).
fof(f298,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f240,f216]) ).
fof(f299,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f240,f232]) ).
fof(f300,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f241,f181]) ).
fof(f301,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f241,f197]) ).
fof(f302,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f241,f213]) ).
fof(f303,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f241,f229]) ).
fof(f304,plain,
( ~ sQ20_spl
| ~ sQ24_spl
| equalish(e_0,e_4) ),
inference(resolution,[status(thm)],[f261,f223]) ).
fof(f305,plain,
( ~ sQ21_spl
| ~ sQ24_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f261,f226]) ).
fof(f306,plain,
( ~ sQ22_spl
| ~ sQ24_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f261,f229]) ).
fof(f307,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f261,f232]) ).
fof(f308,plain,
( ~ sQ24_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f261,f235]) ).
fof(f309,plain,
( ~ sQ21_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f305,f102]) ).
fof(f310,plain,
( ~ sQ21_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f309]) ).
fof(f311,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f242,f178]) ).
fof(f312,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f242,f194]) ).
fof(f313,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f242,f210]) ).
fof(f314,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| equalish(e_0,e_3) ),
inference(resolution,[status(thm)],[f262,f223]) ).
fof(f315,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f262,f229]) ).
fof(f316,plain,
( ~ sQ23_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f262,f232]) ).
fof(f317,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f315,f105]) ).
fof(f318,plain,
( ~ sQ22_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f317]) ).
fof(f320,plain,
! [X0,X1] :
( ~ sQ9_spl
| equalish(X0,X1)
| ~ next(e_4,X1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f246,f187]) ).
fof(f321,plain,
! [X0,X1] :
( ~ sQ14_spl
| equalish(X0,X1)
| ~ next(e_3,X1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f246,f203]) ).
fof(f322,plain,
! [X0,X1] :
( ~ sQ19_spl
| equalish(X0,X1)
| ~ next(e_2,X1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f246,f219]) ).
fof(f323,plain,
! [X0,X1] :
( ~ sQ4_spl
| equalish(X0,X1)
| ~ next(e_5,X1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f246,f171]) ).
fof(f324,plain,
( ~ sQ15_spl
| ~ sQ19_spl
| equalish(e_0,e_4) ),
inference(resolution,[status(thm)],[f268,f207]) ).
fof(f325,plain,
( ~ sQ16_spl
| ~ sQ19_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f268,f210]) ).
fof(f326,plain,
( ~ sQ17_spl
| ~ sQ19_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f268,f213]) ).
fof(f327,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f268,f216]) ).
fof(f328,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f268,f219]) ).
fof(f329,plain,
( ~ sQ16_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f325,f102]) ).
fof(f330,plain,
( ~ sQ16_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f329]) ).
fof(f331,plain,
! [X0,X1] :
( ~ sQ8_spl
| equalish(X0,X1)
| ~ next(e_4,X1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f247,f184]) ).
fof(f332,plain,
! [X0,X1] :
( ~ sQ13_spl
| equalish(X0,X1)
| ~ next(e_3,X1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f247,f200]) ).
fof(f333,plain,
! [X0,X1] :
( ~ sQ18_spl
| equalish(X0,X1)
| ~ next(e_2,X1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f247,f216]) ).
fof(f334,plain,
( ~ sQ15_spl
| ~ sQ18_spl
| equalish(e_0,e_3) ),
inference(resolution,[status(thm)],[f269,f207]) ).
fof(f335,plain,
( ~ sQ17_spl
| ~ sQ18_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f269,f213]) ).
fof(f336,plain,
( ~ sQ18_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f269,f216]) ).
fof(f337,plain,
( ~ sQ17_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f335,f105]) ).
fof(f338,plain,
( ~ sQ17_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f337]) ).
fof(f339,plain,
! [X0,X1] :
( ~ sQ7_spl
| equalish(X0,X1)
| ~ next(e_4,X1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f248,f181]) ).
fof(f340,plain,
! [X0,X1] :
( ~ sQ12_spl
| equalish(X0,X1)
| ~ next(e_3,X1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f248,f197]) ).
fof(f341,plain,
! [X0,X1] :
( ~ sQ6_spl
| equalish(X0,X1)
| ~ next(e_4,X1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f249,f178]) ).
fof(f342,plain,
! [X0,X1] :
( ~ sQ11_spl
| equalish(X0,X1)
| ~ next(e_3,X1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f249,f194]) ).
fof(f344,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| equalish(e_0,e_4) ),
inference(resolution,[status(thm)],[f275,f191]) ).
fof(f345,plain,
( ~ sQ11_spl
| ~ sQ14_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f275,f194]) ).
fof(f346,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f275,f197]) ).
fof(f347,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f275,f200]) ).
fof(f348,plain,
( ~ sQ14_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f275,f203]) ).
fof(f349,plain,
( ~ sQ11_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f345,f102]) ).
fof(f350,plain,
( ~ sQ11_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f349]) ).
fof(f351,plain,
( product1(e_5,e_5,e_5)
| product1(e_5,e_5,e_4)
| product1(e_5,e_5,e_3)
| product1(e_5,e_5,e_2)
| product1(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f250,f99]) ).
fof(f352,plain,
( product1(e_4,e_5,e_5)
| product1(e_4,e_5,e_4)
| product1(e_4,e_5,e_3)
| product1(e_4,e_5,e_2)
| product1(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f250,f98]) ).
fof(f353,plain,
( product1(e_3,e_5,e_5)
| product1(e_3,e_5,e_4)
| product1(e_3,e_5,e_3)
| product1(e_3,e_5,e_2)
| product1(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f250,f97]) ).
fof(f354,plain,
( product1(e_2,e_5,e_5)
| product1(e_2,e_5,e_4)
| product1(e_2,e_5,e_3)
| product1(e_2,e_5,e_2)
| product1(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f250,f96]) ).
fof(f355,plain,
( product1(e_1,e_5,e_5)
| product1(e_1,e_5,e_4)
| product1(e_1,e_5,e_3)
| product1(e_1,e_5,e_2)
| product1(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f250,f95]) ).
fof(f356,definition,
( sQ25_spl
<=> product1(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( ~ sQ25_spl
| product1(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f358,plain,
( sQ25_spl
| ~ product1(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,definition,
( sQ26_spl
<=> product1(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( ~ sQ26_spl
| product1(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f361,plain,
( sQ26_spl
| ~ product1(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,definition,
( sQ27_spl
<=> product1(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ27_spl
| product1(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f364,plain,
( sQ27_spl
| ~ product1(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,definition,
( sQ28_spl
<=> product1(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f366,plain,
( ~ sQ28_spl
| product1(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f367,plain,
( sQ28_spl
| ~ product1(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,definition,
( sQ29_spl
<=> product1(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f351,f356,f359,f362,f365,f368]) ).
fof(f372,definition,
( sQ30_spl
<=> product1(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ30_spl
| product1(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f374,plain,
( sQ30_spl
| ~ product1(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,definition,
( sQ31_spl
<=> product1(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ31_spl
| product1(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f377,plain,
( sQ31_spl
| ~ product1(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,definition,
( sQ32_spl
<=> product1(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f379,plain,
( ~ sQ32_spl
| product1(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f380,plain,
( sQ32_spl
| ~ product1(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,definition,
( sQ33_spl
<=> product1(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f382,plain,
( ~ sQ33_spl
| product1(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f383,plain,
( sQ33_spl
| ~ product1(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,definition,
( sQ34_spl
<=> product1(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( ~ sQ34_spl
| product1(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f386,plain,
( sQ34_spl
| ~ product1(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f352,f372,f375,f378,f381,f384]) ).
fof(f388,definition,
( sQ35_spl
<=> product1(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ35_spl
| product1(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f390,plain,
( sQ35_spl
| ~ product1(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,definition,
( sQ36_spl
<=> product1(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( ~ sQ36_spl
| product1(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f393,plain,
( sQ36_spl
| ~ product1(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,definition,
( sQ37_spl
<=> product1(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f395,plain,
( ~ sQ37_spl
| product1(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f396,plain,
( sQ37_spl
| ~ product1(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,definition,
( sQ38_spl
<=> product1(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f398,plain,
( ~ sQ38_spl
| product1(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f399,plain,
( sQ38_spl
| ~ product1(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,definition,
( sQ39_spl
<=> product1(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( ~ sQ39_spl
| product1(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f402,plain,
( sQ39_spl
| ~ product1(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f353,f388,f391,f394,f397,f400]) ).
fof(f404,definition,
( sQ40_spl
<=> product1(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ40_spl
| product1(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f406,plain,
( sQ40_spl
| ~ product1(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,definition,
( sQ41_spl
<=> product1(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ41_spl
| product1(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f409,plain,
( sQ41_spl
| ~ product1(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,definition,
( sQ42_spl
<=> product1(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( ~ sQ42_spl
| product1(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f412,plain,
( sQ42_spl
| ~ product1(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,definition,
( sQ43_spl
<=> product1(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( ~ sQ43_spl
| product1(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f415,plain,
( sQ43_spl
| ~ product1(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,definition,
( sQ44_spl
<=> product1(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( ~ sQ44_spl
| product1(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f418,plain,
( sQ44_spl
| ~ product1(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f354,f404,f407,f410,f413,f416]) ).
fof(f420,definition,
( sQ45_spl
<=> product1(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f421,plain,
( ~ sQ45_spl
| product1(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f422,plain,
( sQ45_spl
| ~ product1(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,definition,
( sQ46_spl
<=> product1(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f424,plain,
( ~ sQ46_spl
| product1(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f425,plain,
( sQ46_spl
| ~ product1(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,definition,
( sQ47_spl
<=> product1(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( ~ sQ47_spl
| product1(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f428,plain,
( sQ47_spl
| ~ product1(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,definition,
( sQ48_spl
<=> product1(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( ~ sQ48_spl
| product1(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f431,plain,
( sQ48_spl
| ~ product1(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,definition,
( sQ49_spl
<=> product1(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( ~ sQ49_spl
| product1(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f434,plain,
( sQ49_spl
| ~ product1(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f355,f420,f423,f426,f429,f432]) ).
fof(f436,plain,
( product1(e_5,e_4,e_5)
| product1(e_5,e_4,e_4)
| product1(e_5,e_4,e_3)
| product1(e_5,e_4,e_2)
| product1(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f251,f99]) ).
fof(f437,plain,
( product1(e_4,e_4,e_5)
| product1(e_4,e_4,e_4)
| product1(e_4,e_4,e_3)
| product1(e_4,e_4,e_2)
| product1(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f251,f98]) ).
fof(f438,plain,
( product1(e_3,e_4,e_5)
| product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f251,f97]) ).
fof(f439,plain,
( product1(e_2,e_4,e_5)
| product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f251,f96]) ).
fof(f440,plain,
( product1(e_1,e_4,e_5)
| product1(e_1,e_4,e_4)
| product1(e_1,e_4,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f251,f95]) ).
fof(f441,definition,
( sQ50_spl
<=> product1(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( ~ sQ50_spl
| product1(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f443,plain,
( sQ50_spl
| ~ product1(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,definition,
( sQ51_spl
<=> product1(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( ~ sQ51_spl
| product1(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f446,plain,
( sQ51_spl
| ~ product1(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,definition,
( sQ52_spl
<=> product1(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ52_spl
| product1(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f449,plain,
( sQ52_spl
| ~ product1(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ53_spl
<=> product1(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ53_spl
| product1(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f452,plain,
( sQ53_spl
| ~ product1(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ54_spl
<=> product1(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ54_spl
| product1(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f455,plain,
( sQ54_spl
| ~ product1(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f436,f441,f444,f447,f450,f453]) ).
fof(f457,definition,
( sQ55_spl
<=> product1(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ55_spl
| product1(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f459,plain,
( sQ55_spl
| ~ product1(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,definition,
( sQ56_spl
<=> product1(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( ~ sQ56_spl
| product1(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f462,plain,
( sQ56_spl
| ~ product1(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,definition,
( sQ57_spl
<=> product1(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ57_spl
| product1(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f465,plain,
( sQ57_spl
| ~ product1(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,definition,
( sQ58_spl
<=> product1(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f469,definition,
( sQ59_spl
<=> product1(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( ~ sQ59_spl
| product1(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f471,plain,
( sQ59_spl
| ~ product1(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f437,f457,f460,f463,f466,f469]) ).
fof(f473,definition,
( sQ60_spl
<=> product1(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ60_spl
| product1(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f475,plain,
( sQ60_spl
| ~ product1(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,definition,
( sQ61_spl
<=> product1(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ61_spl
| product1(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f478,plain,
( sQ61_spl
| ~ product1(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,definition,
( sQ62_spl
<=> product1(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ62_spl
| product1(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f481,plain,
( sQ62_spl
| ~ product1(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,definition,
( sQ63_spl
<=> product1(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ63_spl
| product1(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f484,plain,
( sQ63_spl
| ~ product1(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,definition,
( sQ64_spl
<=> product1(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ64_spl
| product1(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f438,f473,f476,f479,f482,f485]) ).
fof(f489,definition,
( sQ65_spl
<=> product1(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ65_spl
| product1(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f491,plain,
( sQ65_spl
| ~ product1(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,definition,
( sQ66_spl
<=> product1(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( ~ sQ66_spl
| product1(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f494,plain,
( sQ66_spl
| ~ product1(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,definition,
( sQ67_spl
<=> product1(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( ~ sQ67_spl
| product1(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f497,plain,
( sQ67_spl
| ~ product1(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,definition,
( sQ68_spl
<=> product1(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( ~ sQ68_spl
| product1(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f500,plain,
( sQ68_spl
| ~ product1(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,definition,
( sQ69_spl
<=> product1(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( ~ sQ69_spl
| product1(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f503,plain,
( sQ69_spl
| ~ product1(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f439,f489,f492,f495,f498,f501]) ).
fof(f505,definition,
( sQ70_spl
<=> product1(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( ~ sQ70_spl
| product1(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f507,plain,
( sQ70_spl
| ~ product1(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,definition,
( sQ71_spl
<=> product1(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( ~ sQ71_spl
| product1(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f510,plain,
( sQ71_spl
| ~ product1(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,definition,
( sQ72_spl
<=> product1(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( ~ sQ72_spl
| product1(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f513,plain,
( sQ72_spl
| ~ product1(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,definition,
( sQ73_spl
<=> product1(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( ~ sQ73_spl
| product1(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f516,plain,
( sQ73_spl
| ~ product1(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,definition,
( sQ74_spl
<=> product1(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( ~ sQ74_spl
| product1(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f519,plain,
( sQ74_spl
| ~ product1(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f440,f505,f508,f511,f514,f517]) ).
fof(f521,plain,
( product1(e_5,e_3,e_5)
| product1(e_5,e_3,e_4)
| product1(e_5,e_3,e_3)
| product1(e_5,e_3,e_2)
| product1(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f252,f99]) ).
fof(f522,plain,
( product1(e_4,e_3,e_5)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f252,f98]) ).
fof(f523,plain,
( product1(e_3,e_3,e_5)
| product1(e_3,e_3,e_4)
| product1(e_3,e_3,e_3)
| product1(e_3,e_3,e_2)
| product1(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f252,f97]) ).
fof(f524,plain,
( product1(e_2,e_3,e_5)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f252,f96]) ).
fof(f525,plain,
( product1(e_1,e_3,e_5)
| product1(e_1,e_3,e_4)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f252,f95]) ).
fof(f526,definition,
( sQ75_spl
<=> product1(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ75_spl
| product1(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f528,plain,
( sQ75_spl
| ~ product1(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,definition,
( sQ76_spl
<=> product1(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( ~ sQ76_spl
| product1(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f531,plain,
( sQ76_spl
| ~ product1(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,definition,
( sQ77_spl
<=> product1(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ77_spl
| product1(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f534,plain,
( sQ77_spl
| ~ product1(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,definition,
( sQ78_spl
<=> product1(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( ~ sQ78_spl
| product1(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f537,plain,
( sQ78_spl
| ~ product1(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,definition,
( sQ79_spl
<=> product1(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f539,plain,
( ~ sQ79_spl
| product1(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f540,plain,
( sQ79_spl
| ~ product1(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f521,f526,f529,f532,f535,f538]) ).
fof(f542,definition,
( sQ80_spl
<=> product1(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ80_spl
| product1(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f544,plain,
( sQ80_spl
| ~ product1(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ81_spl
<=> product1(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ81_spl
| product1(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f547,plain,
( sQ81_spl
| ~ product1(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,definition,
( sQ82_spl
<=> product1(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( ~ sQ82_spl
| product1(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f550,plain,
( sQ82_spl
| ~ product1(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,definition,
( sQ83_spl
<=> product1(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( ~ sQ83_spl
| product1(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f553,plain,
( sQ83_spl
| ~ product1(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,definition,
( sQ84_spl
<=> product1(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f555,plain,
( ~ sQ84_spl
| product1(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f556,plain,
( sQ84_spl
| ~ product1(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f522,f542,f545,f548,f551,f554]) ).
fof(f558,definition,
( sQ85_spl
<=> product1(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ85_spl
| product1(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f560,plain,
( sQ85_spl
| ~ product1(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,definition,
( sQ86_spl
<=> product1(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( ~ sQ86_spl
| product1(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f563,plain,
( sQ86_spl
| ~ product1(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,definition,
( sQ87_spl
<=> product1(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f567,definition,
( sQ88_spl
<=> product1(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( ~ sQ88_spl
| product1(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f569,plain,
( sQ88_spl
| ~ product1(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,definition,
( sQ89_spl
<=> product1(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( ~ sQ89_spl
| product1(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f572,plain,
( sQ89_spl
| ~ product1(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f573,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f523,f558,f561,f564,f567,f570]) ).
fof(f574,definition,
( sQ90_spl
<=> product1(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f575,plain,
( ~ sQ90_spl
| product1(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f576,plain,
( sQ90_spl
| ~ product1(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,definition,
( sQ91_spl
<=> product1(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( ~ sQ91_spl
| product1(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f579,plain,
( sQ91_spl
| ~ product1(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,definition,
( sQ92_spl
<=> product1(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ92_spl
| product1(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f582,plain,
( sQ92_spl
| ~ product1(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,definition,
( sQ93_spl
<=> product1(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f584,plain,
( ~ sQ93_spl
| product1(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f585,plain,
( sQ93_spl
| ~ product1(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f586,definition,
( sQ94_spl
<=> product1(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f587,plain,
( ~ sQ94_spl
| product1(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f524,f574,f577,f580,f583,f586]) ).
fof(f590,definition,
( sQ95_spl
<=> product1(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f591,plain,
( ~ sQ95_spl
| product1(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f592,plain,
( sQ95_spl
| ~ product1(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,definition,
( sQ96_spl
<=> product1(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ96_spl
| product1(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f595,plain,
( sQ96_spl
| ~ product1(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,definition,
( sQ97_spl
<=> product1(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( ~ sQ97_spl
| product1(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f598,plain,
( sQ97_spl
| ~ product1(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,definition,
( sQ98_spl
<=> product1(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( ~ sQ98_spl
| product1(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f601,plain,
( sQ98_spl
| ~ product1(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,definition,
( sQ99_spl
<=> product1(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( ~ sQ99_spl
| product1(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f604,plain,
( sQ99_spl
| ~ product1(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f525,f590,f593,f596,f599,f602]) ).
fof(f606,plain,
( product1(e_5,e_2,e_5)
| product1(e_5,e_2,e_4)
| product1(e_5,e_2,e_3)
| product1(e_5,e_2,e_2)
| product1(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f253,f99]) ).
fof(f607,plain,
( product1(e_4,e_2,e_5)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f253,f98]) ).
fof(f608,plain,
( product1(e_3,e_2,e_5)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f253,f97]) ).
fof(f609,plain,
( product1(e_2,e_2,e_5)
| product1(e_2,e_2,e_4)
| product1(e_2,e_2,e_3)
| product1(e_2,e_2,e_2)
| product1(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f253,f96]) ).
fof(f610,plain,
( product1(e_1,e_2,e_5)
| product1(e_1,e_2,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f253,f95]) ).
fof(f611,definition,
( sQ100_spl
<=> product1(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ100_spl
| product1(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f613,plain,
( sQ100_spl
| ~ product1(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,definition,
( sQ101_spl
<=> product1(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ101_spl
| product1(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f616,plain,
( sQ101_spl
| ~ product1(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,definition,
( sQ102_spl
<=> product1(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f618,plain,
( ~ sQ102_spl
| product1(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f619,plain,
( sQ102_spl
| ~ product1(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,definition,
( sQ103_spl
<=> product1(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ103_spl
| product1(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f622,plain,
( sQ103_spl
| ~ product1(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,definition,
( sQ104_spl
<=> product1(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( ~ sQ104_spl
| product1(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f625,plain,
( sQ104_spl
| ~ product1(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f606,f611,f614,f617,f620,f623]) ).
fof(f627,definition,
( sQ105_spl
<=> product1(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( ~ sQ105_spl
| product1(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f629,plain,
( sQ105_spl
| ~ product1(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,definition,
( sQ106_spl
<=> product1(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( ~ sQ106_spl
| product1(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f632,plain,
( sQ106_spl
| ~ product1(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,definition,
( sQ107_spl
<=> product1(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( ~ sQ107_spl
| product1(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f635,plain,
( sQ107_spl
| ~ product1(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,definition,
( sQ108_spl
<=> product1(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f637,plain,
( ~ sQ108_spl
| product1(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f638,plain,
( sQ108_spl
| ~ product1(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,definition,
( sQ109_spl
<=> product1(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f640,plain,
( ~ sQ109_spl
| product1(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f641,plain,
( sQ109_spl
| ~ product1(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f607,f627,f630,f633,f636,f639]) ).
fof(f643,definition,
( sQ110_spl
<=> product1(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f644,plain,
( ~ sQ110_spl
| product1(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f645,plain,
( sQ110_spl
| ~ product1(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,definition,
( sQ111_spl
<=> product1(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f647,plain,
( ~ sQ111_spl
| product1(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f648,plain,
( sQ111_spl
| ~ product1(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,definition,
( sQ112_spl
<=> product1(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f650,plain,
( ~ sQ112_spl
| product1(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f651,plain,
( sQ112_spl
| ~ product1(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,definition,
( sQ113_spl
<=> product1(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f653,plain,
( ~ sQ113_spl
| product1(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f654,plain,
( sQ113_spl
| ~ product1(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,definition,
( sQ114_spl
<=> product1(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( ~ sQ114_spl
| product1(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f657,plain,
( sQ114_spl
| ~ product1(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f608,f643,f646,f649,f652,f655]) ).
fof(f659,definition,
( sQ115_spl
<=> product1(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( ~ sQ115_spl
| product1(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f661,plain,
( sQ115_spl
| ~ product1(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,definition,
( sQ116_spl
<=> product1(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f665,definition,
( sQ117_spl
<=> product1(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f666,plain,
( ~ sQ117_spl
| product1(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f667,plain,
( sQ117_spl
| ~ product1(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,definition,
( sQ118_spl
<=> product1(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f669,plain,
( ~ sQ118_spl
| product1(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f670,plain,
( sQ118_spl
| ~ product1(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,definition,
( sQ119_spl
<=> product1(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( ~ sQ119_spl
| product1(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f673,plain,
( sQ119_spl
| ~ product1(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f609,f659,f662,f665,f668,f671]) ).
fof(f675,definition,
( sQ120_spl
<=> product1(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f676,plain,
( ~ sQ120_spl
| product1(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f677,plain,
( sQ120_spl
| ~ product1(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,definition,
( sQ121_spl
<=> product1(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f679,plain,
( ~ sQ121_spl
| product1(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f680,plain,
( sQ121_spl
| ~ product1(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,definition,
( sQ122_spl
<=> product1(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f682,plain,
( ~ sQ122_spl
| product1(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f683,plain,
( sQ122_spl
| ~ product1(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,definition,
( sQ123_spl
<=> product1(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( ~ sQ123_spl
| product1(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f686,plain,
( sQ123_spl
| ~ product1(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,definition,
( sQ124_spl
<=> product1(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f688,plain,
( ~ sQ124_spl
| product1(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f689,plain,
( sQ124_spl
| ~ product1(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f610,f675,f678,f681,f684,f687]) ).
fof(f691,plain,
( ~ sQ49_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f433,f141]) ).
fof(f692,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f433,f126]) ).
fof(f693,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f433,f124]) ).
fof(f694,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f433,f122]) ).
fof(f695,plain,
! [X0] :
( ~ sQ49_spl
| product2(e_5,X0,e_5)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f433,f137]) ).
fof(f696,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f691,f103]) ).
fof(f697,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f696]) ).
fof(f698,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f430,f126]) ).
fof(f699,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f430,f124]) ).
fof(f700,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f430,f122]) ).
fof(f701,plain,
! [X0] :
( ~ sQ48_spl
| product2(e_4,X0,e_5)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f430,f137]) ).
fof(f704,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f427,f126]) ).
fof(f705,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f427,f124]) ).
fof(f706,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f427,f122]) ).
fof(f707,plain,
! [X0] :
( ~ sQ47_spl
| product2(e_3,X0,e_5)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f427,f137]) ).
fof(f708,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f424,f126]) ).
fof(f709,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f424,f124]) ).
fof(f710,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f424,f122]) ).
fof(f711,plain,
! [X0] :
( ~ sQ46_spl
| product2(e_2,X0,e_5)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f424,f137]) ).
fof(f712,plain,
( ~ sQ45_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f421,f140]) ).
fof(f713,plain,
( ~ sQ45_spl
| product2(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f421,f139]) ).
fof(f714,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f421,f126]) ).
fof(f715,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f421,f124]) ).
fof(f716,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f421,f122]) ).
fof(f717,plain,
! [X0] :
( ~ sQ45_spl
| product2(e_1,X0,e_5)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f421,f137]) ).
fof(f718,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f712,f116]) ).
fof(f719,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f718]) ).
fof(f720,plain,
( product1(e_5,e_1,e_5)
| product1(e_5,e_1,e_4)
| product1(e_5,e_1,e_3)
| product1(e_5,e_1,e_2)
| product1(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f254,f99]) ).
fof(f721,plain,
( product1(e_4,e_1,e_5)
| product1(e_4,e_1,e_4)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f254,f98]) ).
fof(f722,plain,
( product1(e_3,e_1,e_5)
| product1(e_3,e_1,e_4)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f254,f97]) ).
fof(f723,plain,
( product1(e_2,e_1,e_5)
| product1(e_2,e_1,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f254,f96]) ).
fof(f724,plain,
( product1(e_1,e_1,e_5)
| product1(e_1,e_1,e_4)
| product1(e_1,e_1,e_3)
| product1(e_1,e_1,e_2)
| product1(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f254,f95]) ).
fof(f725,definition,
( sQ125_spl
<=> product1(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( ~ sQ125_spl
| product1(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f727,plain,
( sQ125_spl
| ~ product1(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f728,definition,
( sQ126_spl
<=> product1(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f729,plain,
( ~ sQ126_spl
| product1(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f730,plain,
( sQ126_spl
| ~ product1(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,definition,
( sQ127_spl
<=> product1(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f732,plain,
( ~ sQ127_spl
| product1(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f733,plain,
( sQ127_spl
| ~ product1(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,definition,
( sQ128_spl
<=> product1(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( ~ sQ128_spl
| product1(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f736,plain,
( sQ128_spl
| ~ product1(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,definition,
( sQ129_spl
<=> product1(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f738,plain,
( ~ sQ129_spl
| product1(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f739,plain,
( sQ129_spl
| ~ product1(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f740,plain,
( sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f720,f725,f728,f731,f734,f737]) ).
fof(f741,definition,
( sQ130_spl
<=> product1(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f742,plain,
( ~ sQ130_spl
| product1(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f743,plain,
( sQ130_spl
| ~ product1(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,definition,
( sQ131_spl
<=> product1(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f745,plain,
( ~ sQ131_spl
| product1(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f746,plain,
( sQ131_spl
| ~ product1(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,definition,
( sQ132_spl
<=> product1(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f748,plain,
( ~ sQ132_spl
| product1(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f749,plain,
( sQ132_spl
| ~ product1(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f750,definition,
( sQ133_spl
<=> product1(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f751,plain,
( ~ sQ133_spl
| product1(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f752,plain,
( sQ133_spl
| ~ product1(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,definition,
( sQ134_spl
<=> product1(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( ~ sQ134_spl
| product1(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f755,plain,
( sQ134_spl
| ~ product1(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,plain,
( sQ134_spl
| sQ133_spl
| sQ132_spl
| sQ131_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f721,f741,f744,f747,f750,f753]) ).
fof(f757,definition,
( sQ135_spl
<=> product1(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f758,plain,
( ~ sQ135_spl
| product1(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f759,plain,
( sQ135_spl
| ~ product1(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f760,definition,
( sQ136_spl
<=> product1(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f761,plain,
( ~ sQ136_spl
| product1(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f762,plain,
( sQ136_spl
| ~ product1(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f763,definition,
( sQ137_spl
<=> product1(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f764,plain,
( ~ sQ137_spl
| product1(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f763]) ).
fof(f765,plain,
( sQ137_spl
| ~ product1(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f763]) ).
fof(f766,definition,
( sQ138_spl
<=> product1(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f767,plain,
( ~ sQ138_spl
| product1(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f768,plain,
( sQ138_spl
| ~ product1(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f769,definition,
( sQ139_spl
<=> product1(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f770,plain,
( ~ sQ139_spl
| product1(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f771,plain,
( sQ139_spl
| ~ product1(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f772,plain,
( sQ139_spl
| sQ138_spl
| sQ137_spl
| sQ136_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f722,f757,f760,f763,f766,f769]) ).
fof(f773,definition,
( sQ140_spl
<=> product1(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ140_spl
| product1(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f775,plain,
( sQ140_spl
| ~ product1(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,definition,
( sQ141_spl
<=> product1(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f777,plain,
( ~ sQ141_spl
| product1(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f776]) ).
fof(f778,plain,
( sQ141_spl
| ~ product1(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f776]) ).
fof(f779,definition,
( sQ142_spl
<=> product1(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f780,plain,
( ~ sQ142_spl
| product1(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f781,plain,
( sQ142_spl
| ~ product1(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f782,definition,
( sQ143_spl
<=> product1(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f783,plain,
( ~ sQ143_spl
| product1(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f784,plain,
( sQ143_spl
| ~ product1(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f785,definition,
( sQ144_spl
<=> product1(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f786,plain,
( ~ sQ144_spl
| product1(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f787,plain,
( sQ144_spl
| ~ product1(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,plain,
( sQ144_spl
| sQ143_spl
| sQ142_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f723,f773,f776,f779,f782,f785]) ).
fof(f789,definition,
( sQ145_spl
<=> product1(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f792,definition,
( sQ146_spl
<=> product1(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f793,plain,
( ~ sQ146_spl
| product1(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f794,plain,
( sQ146_spl
| ~ product1(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f795,definition,
( sQ147_spl
<=> product1(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f796,plain,
( ~ sQ147_spl
| product1(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f795]) ).
fof(f797,plain,
( sQ147_spl
| ~ product1(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f795]) ).
fof(f798,definition,
( sQ148_spl
<=> product1(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f799,plain,
( ~ sQ148_spl
| product1(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f800,plain,
( sQ148_spl
| ~ product1(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,definition,
( sQ149_spl
<=> product1(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( ~ sQ149_spl
| product1(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f803,plain,
( sQ149_spl
| ~ product1(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( sQ149_spl
| sQ148_spl
| sQ147_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f724,f789,f792,f795,f798,f801]) ).
fof(f805,plain,
( product2(e_5,e_5,e_5)
| product2(e_5,e_5,e_4)
| product2(e_5,e_5,e_3)
| product2(e_5,e_5,e_2)
| product2(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f255,f99]) ).
fof(f806,plain,
( product2(e_4,e_5,e_5)
| product2(e_4,e_5,e_4)
| product2(e_4,e_5,e_3)
| product2(e_4,e_5,e_2)
| product2(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f255,f98]) ).
fof(f807,plain,
( product2(e_3,e_5,e_5)
| product2(e_3,e_5,e_4)
| product2(e_3,e_5,e_3)
| product2(e_3,e_5,e_2)
| product2(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f255,f97]) ).
fof(f808,plain,
( product2(e_2,e_5,e_5)
| product2(e_2,e_5,e_4)
| product2(e_2,e_5,e_3)
| product2(e_2,e_5,e_2)
| product2(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f255,f96]) ).
fof(f809,plain,
( product2(e_1,e_5,e_5)
| product2(e_1,e_5,e_4)
| product2(e_1,e_5,e_3)
| product2(e_1,e_5,e_2)
| product2(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f255,f95]) ).
fof(f810,definition,
( sQ150_spl
<=> product2(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( ~ sQ150_spl
| product2(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f812,plain,
( sQ150_spl
| ~ product2(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,definition,
( sQ151_spl
<=> product2(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f814,plain,
( ~ sQ151_spl
| product2(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f815,plain,
( sQ151_spl
| ~ product2(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,definition,
( sQ152_spl
<=> product2(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( ~ sQ152_spl
| product2(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f818,plain,
( sQ152_spl
| ~ product2(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,definition,
( sQ153_spl
<=> product2(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f820,plain,
( ~ sQ153_spl
| product2(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f821,plain,
( sQ153_spl
| ~ product2(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f822,definition,
( sQ154_spl
<=> product2(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f825,plain,
( sQ154_spl
| sQ153_spl
| sQ152_spl
| sQ151_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f805,f810,f813,f816,f819,f822]) ).
fof(f826,definition,
( sQ155_spl
<=> product2(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( ~ sQ155_spl
| product2(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f828,plain,
( sQ155_spl
| ~ product2(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,definition,
( sQ156_spl
<=> product2(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( ~ sQ156_spl
| product2(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f831,plain,
( sQ156_spl
| ~ product2(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,definition,
( sQ157_spl
<=> product2(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( ~ sQ157_spl
| product2(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f834,plain,
( sQ157_spl
| ~ product2(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f835,definition,
( sQ158_spl
<=> product2(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f836,plain,
( ~ sQ158_spl
| product2(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f837,plain,
( sQ158_spl
| ~ product2(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,definition,
( sQ159_spl
<=> product2(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( ~ sQ159_spl
| product2(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f840,plain,
( sQ159_spl
| ~ product2(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,plain,
( sQ159_spl
| sQ158_spl
| sQ157_spl
| sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f806,f826,f829,f832,f835,f838]) ).
fof(f842,definition,
( sQ160_spl
<=> product2(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( ~ sQ160_spl
| product2(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f844,plain,
( sQ160_spl
| ~ product2(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f845,definition,
( sQ161_spl
<=> product2(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f846,plain,
( ~ sQ161_spl
| product2(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f847,plain,
( sQ161_spl
| ~ product2(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f848,definition,
( sQ162_spl
<=> product2(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( ~ sQ162_spl
| product2(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f850,plain,
( sQ162_spl
| ~ product2(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,definition,
( sQ163_spl
<=> product2(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f852,plain,
( ~ sQ163_spl
| product2(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f853,plain,
( sQ163_spl
| ~ product2(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,definition,
( sQ164_spl
<=> product2(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f855,plain,
( ~ sQ164_spl
| product2(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f856,plain,
( sQ164_spl
| ~ product2(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,plain,
( sQ164_spl
| sQ163_spl
| sQ162_spl
| sQ161_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f807,f842,f845,f848,f851,f854]) ).
fof(f858,definition,
( sQ165_spl
<=> product2(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f859,plain,
( ~ sQ165_spl
| product2(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f858]) ).
fof(f860,plain,
( sQ165_spl
| ~ product2(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f858]) ).
fof(f861,definition,
( sQ166_spl
<=> product2(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f862,plain,
( ~ sQ166_spl
| product2(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f863,plain,
( sQ166_spl
| ~ product2(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f864,definition,
( sQ167_spl
<=> product2(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f865,plain,
( ~ sQ167_spl
| product2(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f866,plain,
( sQ167_spl
| ~ product2(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f867,definition,
( sQ168_spl
<=> product2(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f868,plain,
( ~ sQ168_spl
| product2(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f869,plain,
( sQ168_spl
| ~ product2(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f870,definition,
( sQ169_spl
<=> product2(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f871,plain,
( ~ sQ169_spl
| product2(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f872,plain,
( sQ169_spl
| ~ product2(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,plain,
( sQ169_spl
| sQ168_spl
| sQ167_spl
| sQ166_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f808,f858,f861,f864,f867,f870]) ).
fof(f874,definition,
( sQ170_spl
<=> product2(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f875,plain,
( ~ sQ170_spl
| product2(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f874]) ).
fof(f876,plain,
( sQ170_spl
| ~ product2(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f874]) ).
fof(f877,definition,
( sQ171_spl
<=> product2(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f878,plain,
( ~ sQ171_spl
| product2(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f877]) ).
fof(f879,plain,
( sQ171_spl
| ~ product2(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f877]) ).
fof(f880,definition,
( sQ172_spl
<=> product2(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f881,plain,
( ~ sQ172_spl
| product2(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f882,plain,
( sQ172_spl
| ~ product2(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f883,definition,
( sQ173_spl
<=> product2(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f884,plain,
( ~ sQ173_spl
| product2(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f883]) ).
fof(f885,plain,
( sQ173_spl
| ~ product2(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f883]) ).
fof(f886,definition,
( sQ174_spl
<=> product2(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f887,plain,
( ~ sQ174_spl
| product2(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f886]) ).
fof(f888,plain,
( sQ174_spl
| ~ product2(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f886]) ).
fof(f889,plain,
( sQ174_spl
| sQ173_spl
| sQ172_spl
| sQ171_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f809,f874,f877,f880,f883,f886]) ).
fof(f890,plain,
( product2(e_5,e_4,e_5)
| product2(e_5,e_4,e_4)
| product2(e_5,e_4,e_3)
| product2(e_5,e_4,e_2)
| product2(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f256,f99]) ).
fof(f891,plain,
( product2(e_4,e_4,e_5)
| product2(e_4,e_4,e_4)
| product2(e_4,e_4,e_3)
| product2(e_4,e_4,e_2)
| product2(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f256,f98]) ).
fof(f892,plain,
( product2(e_3,e_4,e_5)
| product2(e_3,e_4,e_4)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| product2(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f256,f97]) ).
fof(f893,plain,
( product2(e_2,e_4,e_5)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f256,f96]) ).
fof(f894,plain,
( product2(e_1,e_4,e_5)
| product2(e_1,e_4,e_4)
| product2(e_1,e_4,e_3)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f256,f95]) ).
fof(f895,definition,
( sQ175_spl
<=> product2(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f896,plain,
( ~ sQ175_spl
| product2(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f897,plain,
( sQ175_spl
| ~ product2(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f898,definition,
( sQ176_spl
<=> product2(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f899,plain,
( ~ sQ176_spl
| product2(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f900,plain,
( sQ176_spl
| ~ product2(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f901,definition,
( sQ177_spl
<=> product2(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f902,plain,
( ~ sQ177_spl
| product2(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f903,plain,
( sQ177_spl
| ~ product2(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f904,definition,
( sQ178_spl
<=> product2(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f905,plain,
( ~ sQ178_spl
| product2(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f906,plain,
( sQ178_spl
| ~ product2(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,definition,
( sQ179_spl
<=> product2(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f908,plain,
( ~ sQ179_spl
| product2(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f909,plain,
( sQ179_spl
| ~ product2(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f910,plain,
( sQ179_spl
| sQ178_spl
| sQ177_spl
| sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f890,f895,f898,f901,f904,f907]) ).
fof(f911,definition,
( sQ180_spl
<=> product2(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f912,plain,
( ~ sQ180_spl
| product2(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f913,plain,
( sQ180_spl
| ~ product2(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f914,definition,
( sQ181_spl
<=> product2(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f915,plain,
( ~ sQ181_spl
| product2(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f914]) ).
fof(f916,plain,
( sQ181_spl
| ~ product2(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f914]) ).
fof(f917,definition,
( sQ182_spl
<=> product2(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f918,plain,
( ~ sQ182_spl
| product2(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f917]) ).
fof(f919,plain,
( sQ182_spl
| ~ product2(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f917]) ).
fof(f920,definition,
( sQ183_spl
<=> product2(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f923,definition,
( sQ184_spl
<=> product2(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f924,plain,
( ~ sQ184_spl
| product2(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f925,plain,
( sQ184_spl
| ~ product2(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f926,plain,
( sQ184_spl
| sQ183_spl
| sQ182_spl
| sQ181_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f891,f911,f914,f917,f920,f923]) ).
fof(f927,definition,
( sQ185_spl
<=> product2(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f928,plain,
( ~ sQ185_spl
| product2(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f929,plain,
( sQ185_spl
| ~ product2(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f930,definition,
( sQ186_spl
<=> product2(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f931,plain,
( ~ sQ186_spl
| product2(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f930]) ).
fof(f932,plain,
( sQ186_spl
| ~ product2(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f930]) ).
fof(f933,definition,
( sQ187_spl
<=> product2(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f934,plain,
( ~ sQ187_spl
| product2(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f935,plain,
( sQ187_spl
| ~ product2(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f936,definition,
( sQ188_spl
<=> product2(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f937,plain,
( ~ sQ188_spl
| product2(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f936]) ).
fof(f938,plain,
( sQ188_spl
| ~ product2(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f936]) ).
fof(f939,definition,
( sQ189_spl
<=> product2(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f940,plain,
( ~ sQ189_spl
| product2(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f939]) ).
fof(f941,plain,
( sQ189_spl
| ~ product2(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f939]) ).
fof(f942,plain,
( sQ189_spl
| sQ188_spl
| sQ187_spl
| sQ186_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f892,f927,f930,f933,f936,f939]) ).
fof(f943,definition,
( sQ190_spl
<=> product2(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f944,plain,
( ~ sQ190_spl
| product2(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f943]) ).
fof(f945,plain,
( sQ190_spl
| ~ product2(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f943]) ).
fof(f946,definition,
( sQ191_spl
<=> product2(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f947,plain,
( ~ sQ191_spl
| product2(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f946]) ).
fof(f948,plain,
( sQ191_spl
| ~ product2(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f946]) ).
fof(f949,definition,
( sQ192_spl
<=> product2(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f950,plain,
( ~ sQ192_spl
| product2(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f949]) ).
fof(f951,plain,
( sQ192_spl
| ~ product2(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f949]) ).
fof(f952,definition,
( sQ193_spl
<=> product2(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f953,plain,
( ~ sQ193_spl
| product2(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f952]) ).
fof(f954,plain,
( sQ193_spl
| ~ product2(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f952]) ).
fof(f955,definition,
( sQ194_spl
<=> product2(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f956,plain,
( ~ sQ194_spl
| product2(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f955]) ).
fof(f957,plain,
( sQ194_spl
| ~ product2(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f955]) ).
fof(f958,plain,
( sQ194_spl
| sQ193_spl
| sQ192_spl
| sQ191_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f893,f943,f946,f949,f952,f955]) ).
fof(f959,definition,
( sQ195_spl
<=> product2(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f960,plain,
( ~ sQ195_spl
| product2(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f959]) ).
fof(f961,plain,
( sQ195_spl
| ~ product2(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f959]) ).
fof(f962,definition,
( sQ196_spl
<=> product2(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f963,plain,
( ~ sQ196_spl
| product2(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f964,plain,
( sQ196_spl
| ~ product2(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f965,definition,
( sQ197_spl
<=> product2(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( ~ sQ197_spl
| product2(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f967,plain,
( sQ197_spl
| ~ product2(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f968,definition,
( sQ198_spl
<=> product2(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f969,plain,
( ~ sQ198_spl
| product2(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f968]) ).
fof(f970,plain,
( sQ198_spl
| ~ product2(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f968]) ).
fof(f971,definition,
( sQ199_spl
<=> product2(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f972,plain,
( ~ sQ199_spl
| product2(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f971]) ).
fof(f973,plain,
( sQ199_spl
| ~ product2(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f971]) ).
fof(f974,plain,
( sQ199_spl
| sQ198_spl
| sQ197_spl
| sQ196_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f894,f959,f962,f965,f968,f971]) ).
fof(f975,plain,
( ~ sQ46_spl
| ~ sQ48_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f700,f424]) ).
fof(f976,plain,
( ~ sQ47_spl
| ~ sQ48_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f700,f427]) ).
fof(f978,plain,
( ~ sQ46_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f975,f106]) ).
fof(f979,plain,
( ~ sQ46_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f983,plain,
( ~ sQ44_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f417,f141]) ).
fof(f984,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f417,f126]) ).
fof(f985,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f417,f124]) ).
fof(f986,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f417,f122]) ).
fof(f987,plain,
! [X0] :
( ~ sQ44_spl
| product2(e_5,X0,e_5)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f417,f137]) ).
fof(f988,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f983,f107]) ).
fof(f989,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f988]) ).
fof(f990,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f414,f126]) ).
fof(f991,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f414,f124]) ).
fof(f992,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f414,f122]) ).
fof(f993,plain,
! [X0] :
( ~ sQ43_spl
| product2(e_4,X0,e_5)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f414,f137]) ).
fof(f994,plain,
( ~ sQ47_spl
| ~ sQ42_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f411,f704]) ).
fof(f995,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f411,f126]) ).
fof(f996,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f411,f124]) ).
fof(f997,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f411,f122]) ).
fof(f998,plain,
! [X0] :
( ~ sQ42_spl
| product2(e_3,X0,e_5)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f411,f137]) ).
fof(f999,plain,
( ~ sQ47_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f994,f104]) ).
fof(f1000,plain,
( ~ sQ47_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f999]) ).
fof(f1001,plain,
( product2(e_5,e_3,e_5)
| product2(e_5,e_3,e_4)
| product2(e_5,e_3,e_3)
| product2(e_5,e_3,e_2)
| product2(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f257,f99]) ).
fof(f1002,plain,
( product2(e_4,e_3,e_5)
| product2(e_4,e_3,e_4)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_2)
| product2(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f257,f98]) ).
fof(f1003,plain,
( product2(e_3,e_3,e_5)
| product2(e_3,e_3,e_4)
| product2(e_3,e_3,e_3)
| product2(e_3,e_3,e_2)
| product2(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f257,f97]) ).
fof(f1004,plain,
( product2(e_2,e_3,e_5)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f257,f96]) ).
fof(f1005,plain,
( product2(e_1,e_3,e_5)
| product2(e_1,e_3,e_4)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f257,f95]) ).
fof(f1006,definition,
( sQ200_spl
<=> product2(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1007,plain,
( ~ sQ200_spl
| product2(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1006]) ).
fof(f1008,plain,
( sQ200_spl
| ~ product2(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1006]) ).
fof(f1009,definition,
( sQ201_spl
<=> product2(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1010,plain,
( ~ sQ201_spl
| product2(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1009]) ).
fof(f1011,plain,
( sQ201_spl
| ~ product2(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1009]) ).
fof(f1012,definition,
( sQ202_spl
<=> product2(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1013,plain,
( ~ sQ202_spl
| product2(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1012]) ).
fof(f1014,plain,
( sQ202_spl
| ~ product2(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1012]) ).
fof(f1015,definition,
( sQ203_spl
<=> product2(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1016,plain,
( ~ sQ203_spl
| product2(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1015]) ).
fof(f1017,plain,
( sQ203_spl
| ~ product2(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1015]) ).
fof(f1018,definition,
( sQ204_spl
<=> product2(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1019,plain,
( ~ sQ204_spl
| product2(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1020,plain,
( sQ204_spl
| ~ product2(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1021,plain,
( sQ204_spl
| sQ203_spl
| sQ202_spl
| sQ201_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1001,f1006,f1009,f1012,f1015,f1018]) ).
fof(f1022,definition,
( sQ205_spl
<=> product2(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1023,plain,
( ~ sQ205_spl
| product2(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1022]) ).
fof(f1024,plain,
( sQ205_spl
| ~ product2(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1022]) ).
fof(f1025,definition,
( sQ206_spl
<=> product2(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1026,plain,
( ~ sQ206_spl
| product2(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1027,plain,
( sQ206_spl
| ~ product2(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1028,definition,
( sQ207_spl
<=> product2(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1029,plain,
( ~ sQ207_spl
| product2(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1030,plain,
( sQ207_spl
| ~ product2(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1031,definition,
( sQ208_spl
<=> product2(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1032,plain,
( ~ sQ208_spl
| product2(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1031]) ).
fof(f1033,plain,
( sQ208_spl
| ~ product2(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1031]) ).
fof(f1034,definition,
( sQ209_spl
<=> product2(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1035,plain,
( ~ sQ209_spl
| product2(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1034]) ).
fof(f1036,plain,
( sQ209_spl
| ~ product2(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1034]) ).
fof(f1037,plain,
( sQ209_spl
| sQ208_spl
| sQ207_spl
| sQ206_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1002,f1022,f1025,f1028,f1031,f1034]) ).
fof(f1038,definition,
( sQ210_spl
<=> product2(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1039,plain,
( ~ sQ210_spl
| product2(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1038]) ).
fof(f1040,plain,
( sQ210_spl
| ~ product2(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1038]) ).
fof(f1041,definition,
( sQ211_spl
<=> product2(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1042,plain,
( ~ sQ211_spl
| product2(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1041]) ).
fof(f1043,plain,
( sQ211_spl
| ~ product2(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1041]) ).
fof(f1044,definition,
( sQ212_spl
<=> product2(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1047,definition,
( sQ213_spl
<=> product2(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1048,plain,
( ~ sQ213_spl
| product2(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1047]) ).
fof(f1049,plain,
( sQ213_spl
| ~ product2(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1047]) ).
fof(f1050,definition,
( sQ214_spl
<=> product2(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1051,plain,
( ~ sQ214_spl
| product2(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1050]) ).
fof(f1052,plain,
( sQ214_spl
| ~ product2(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1050]) ).
fof(f1053,plain,
( sQ214_spl
| sQ213_spl
| sQ212_spl
| sQ211_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1003,f1038,f1041,f1044,f1047,f1050]) ).
fof(f1054,definition,
( sQ215_spl
<=> product2(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1055,plain,
( ~ sQ215_spl
| product2(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1056,plain,
( sQ215_spl
| ~ product2(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1057,definition,
( sQ216_spl
<=> product2(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1058,plain,
( ~ sQ216_spl
| product2(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1057]) ).
fof(f1059,plain,
( sQ216_spl
| ~ product2(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1057]) ).
fof(f1060,definition,
( sQ217_spl
<=> product2(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1061,plain,
( ~ sQ217_spl
| product2(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1062,plain,
( sQ217_spl
| ~ product2(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1063,definition,
( sQ218_spl
<=> product2(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1064,plain,
( ~ sQ218_spl
| product2(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1065,plain,
( sQ218_spl
| ~ product2(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1066,definition,
( sQ219_spl
<=> product2(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1067,plain,
( ~ sQ219_spl
| product2(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1066]) ).
fof(f1069,plain,
( sQ219_spl
| sQ218_spl
| sQ217_spl
| sQ216_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f1004,f1054,f1057,f1060,f1063,f1066]) ).
fof(f1070,definition,
( sQ220_spl
<=> product2(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1071,plain,
( ~ sQ220_spl
| product2(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1070]) ).
fof(f1072,plain,
( sQ220_spl
| ~ product2(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1070]) ).
fof(f1073,definition,
( sQ221_spl
<=> product2(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1074,plain,
( ~ sQ221_spl
| product2(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1073]) ).
fof(f1075,plain,
( sQ221_spl
| ~ product2(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1073]) ).
fof(f1076,definition,
( sQ222_spl
<=> product2(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1077,plain,
( ~ sQ222_spl
| product2(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1076]) ).
fof(f1078,plain,
( sQ222_spl
| ~ product2(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1076]) ).
fof(f1079,definition,
( sQ223_spl
<=> product2(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1080,plain,
( ~ sQ223_spl
| product2(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1079]) ).
fof(f1081,plain,
( sQ223_spl
| ~ product2(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1079]) ).
fof(f1082,definition,
( sQ224_spl
<=> product2(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1083,plain,
( ~ sQ224_spl
| product2(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1082]) ).
fof(f1084,plain,
( sQ224_spl
| ~ product2(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1082]) ).
fof(f1085,plain,
( sQ224_spl
| sQ223_spl
| sQ222_spl
| sQ221_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f1005,f1070,f1073,f1076,f1079,f1082]) ).
fof(f1086,plain,
( product2(e_5,e_2,e_5)
| product2(e_5,e_2,e_4)
| product2(e_5,e_2,e_3)
| product2(e_5,e_2,e_2)
| product2(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f258,f99]) ).
fof(f1087,plain,
( product2(e_4,e_2,e_5)
| product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f258,f98]) ).
fof(f1088,plain,
( product2(e_3,e_2,e_5)
| product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f258,f97]) ).
fof(f1089,plain,
( product2(e_2,e_2,e_5)
| product2(e_2,e_2,e_4)
| product2(e_2,e_2,e_3)
| product2(e_2,e_2,e_2)
| product2(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f258,f96]) ).
fof(f1090,plain,
( product2(e_1,e_2,e_5)
| product2(e_1,e_2,e_4)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f258,f95]) ).
fof(f1091,definition,
( sQ225_spl
<=> product2(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1092,plain,
( ~ sQ225_spl
| product2(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1093,plain,
( sQ225_spl
| ~ product2(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1094,definition,
( sQ226_spl
<=> product2(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1095,plain,
( ~ sQ226_spl
| product2(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1094]) ).
fof(f1096,plain,
( sQ226_spl
| ~ product2(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1094]) ).
fof(f1097,definition,
( sQ227_spl
<=> product2(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1098,plain,
( ~ sQ227_spl
| product2(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1097]) ).
fof(f1099,plain,
( sQ227_spl
| ~ product2(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1097]) ).
fof(f1100,definition,
( sQ228_spl
<=> product2(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1101,plain,
( ~ sQ228_spl
| product2(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1100]) ).
fof(f1102,plain,
( sQ228_spl
| ~ product2(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1100]) ).
fof(f1103,definition,
( sQ229_spl
<=> product2(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1104,plain,
( ~ sQ229_spl
| product2(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1103]) ).
fof(f1105,plain,
( sQ229_spl
| ~ product2(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1103]) ).
fof(f1106,plain,
( sQ229_spl
| sQ228_spl
| sQ227_spl
| sQ226_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f1086,f1091,f1094,f1097,f1100,f1103]) ).
fof(f1107,definition,
( sQ230_spl
<=> product2(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1108,plain,
( ~ sQ230_spl
| product2(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1107]) ).
fof(f1109,plain,
( sQ230_spl
| ~ product2(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1107]) ).
fof(f1110,definition,
( sQ231_spl
<=> product2(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1111,plain,
( ~ sQ231_spl
| product2(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1110]) ).
fof(f1112,plain,
( sQ231_spl
| ~ product2(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1110]) ).
fof(f1113,definition,
( sQ232_spl
<=> product2(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1114,plain,
( ~ sQ232_spl
| product2(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1115,plain,
( sQ232_spl
| ~ product2(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1116,definition,
( sQ233_spl
<=> product2(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1117,plain,
( ~ sQ233_spl
| product2(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1116]) ).
fof(f1118,plain,
( sQ233_spl
| ~ product2(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1116]) ).
fof(f1119,definition,
( sQ234_spl
<=> product2(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1120,plain,
( ~ sQ234_spl
| product2(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1119]) ).
fof(f1121,plain,
( sQ234_spl
| ~ product2(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1119]) ).
fof(f1122,plain,
( sQ234_spl
| sQ233_spl
| sQ232_spl
| sQ231_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f1087,f1107,f1110,f1113,f1116,f1119]) ).
fof(f1123,definition,
( sQ235_spl
<=> product2(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1124,plain,
( ~ sQ235_spl
| product2(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1123]) ).
fof(f1125,plain,
( sQ235_spl
| ~ product2(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1123]) ).
fof(f1126,definition,
( sQ236_spl
<=> product2(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1127,plain,
( ~ sQ236_spl
| product2(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1126]) ).
fof(f1128,plain,
( sQ236_spl
| ~ product2(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1126]) ).
fof(f1129,definition,
( sQ237_spl
<=> product2(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1130,plain,
( ~ sQ237_spl
| product2(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1129]) ).
fof(f1131,plain,
( sQ237_spl
| ~ product2(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1129]) ).
fof(f1132,definition,
( sQ238_spl
<=> product2(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1133,plain,
( ~ sQ238_spl
| product2(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1132]) ).
fof(f1134,plain,
( sQ238_spl
| ~ product2(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1132]) ).
fof(f1135,definition,
( sQ239_spl
<=> product2(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1136,plain,
( ~ sQ239_spl
| product2(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1135]) ).
fof(f1137,plain,
( sQ239_spl
| ~ product2(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1135]) ).
fof(f1138,plain,
( sQ239_spl
| sQ238_spl
| sQ237_spl
| sQ236_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f1088,f1123,f1126,f1129,f1132,f1135]) ).
fof(f1139,definition,
( sQ240_spl
<=> product2(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1140,plain,
( ~ sQ240_spl
| product2(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1139]) ).
fof(f1141,plain,
( sQ240_spl
| ~ product2(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1139]) ).
fof(f1142,definition,
( sQ241_spl
<=> product2(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1145,definition,
( sQ242_spl
<=> product2(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1146,plain,
( ~ sQ242_spl
| product2(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1145]) ).
fof(f1147,plain,
( sQ242_spl
| ~ product2(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1145]) ).
fof(f1148,definition,
( sQ243_spl
<=> product2(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f1149,plain,
( ~ sQ243_spl
| product2(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1148]) ).
fof(f1150,plain,
( sQ243_spl
| ~ product2(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1148]) ).
fof(f1151,definition,
( sQ244_spl
<=> product2(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f1152,plain,
( ~ sQ244_spl
| product2(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1151]) ).
fof(f1153,plain,
( sQ244_spl
| ~ product2(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1151]) ).
fof(f1154,plain,
( sQ244_spl
| sQ243_spl
| sQ242_spl
| sQ241_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f1089,f1139,f1142,f1145,f1148,f1151]) ).
fof(f1155,definition,
( sQ245_spl
<=> product2(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1156,plain,
( ~ sQ245_spl
| product2(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1155]) ).
fof(f1157,plain,
( sQ245_spl
| ~ product2(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1155]) ).
fof(f1158,definition,
( sQ246_spl
<=> product2(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f1159,plain,
( ~ sQ246_spl
| product2(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1158]) ).
fof(f1160,plain,
( sQ246_spl
| ~ product2(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1158]) ).
fof(f1161,definition,
( sQ247_spl
<=> product2(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1162,plain,
( ~ sQ247_spl
| product2(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1163,plain,
( sQ247_spl
| ~ product2(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1164,definition,
( sQ248_spl
<=> product2(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f1165,plain,
( ~ sQ248_spl
| product2(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1164]) ).
fof(f1166,plain,
( sQ248_spl
| ~ product2(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1164]) ).
fof(f1167,definition,
( sQ249_spl
<=> product2(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f1168,plain,
( ~ sQ249_spl
| product2(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1167]) ).
fof(f1169,plain,
( sQ249_spl
| ~ product2(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1167]) ).
fof(f1170,plain,
( sQ249_spl
| sQ248_spl
| sQ247_spl
| sQ246_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f1090,f1155,f1158,f1161,f1164,f1167]) ).
fof(f1171,plain,
( product2(e_5,e_1,e_5)
| product2(e_5,e_1,e_4)
| product2(e_5,e_1,e_3)
| product2(e_5,e_1,e_2)
| product2(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f259,f99]) ).
fof(f1172,plain,
( product2(e_4,e_1,e_5)
| product2(e_4,e_1,e_4)
| product2(e_4,e_1,e_3)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f259,f98]) ).
fof(f1173,plain,
( product2(e_3,e_1,e_5)
| product2(e_3,e_1,e_4)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f259,f97]) ).
fof(f1174,plain,
( product2(e_2,e_1,e_5)
| product2(e_2,e_1,e_4)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f259,f96]) ).
fof(f1175,plain,
( product2(e_1,e_1,e_5)
| product2(e_1,e_1,e_4)
| product2(e_1,e_1,e_3)
| product2(e_1,e_1,e_2)
| product2(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f259,f95]) ).
fof(f1176,definition,
( sQ250_spl
<=> product2(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f1177,plain,
( ~ sQ250_spl
| product2(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1176]) ).
fof(f1178,plain,
( sQ250_spl
| ~ product2(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1176]) ).
fof(f1179,definition,
( sQ251_spl
<=> product2(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f1180,plain,
( ~ sQ251_spl
| product2(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1179]) ).
fof(f1181,plain,
( sQ251_spl
| ~ product2(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1179]) ).
fof(f1182,definition,
( sQ252_spl
<=> product2(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f1183,plain,
( ~ sQ252_spl
| product2(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1182]) ).
fof(f1184,plain,
( sQ252_spl
| ~ product2(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1182]) ).
fof(f1185,definition,
( sQ253_spl
<=> product2(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f1186,plain,
( ~ sQ253_spl
| product2(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1185]) ).
fof(f1187,plain,
( sQ253_spl
| ~ product2(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1185]) ).
fof(f1188,definition,
( sQ254_spl
<=> product2(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f1189,plain,
( ~ sQ254_spl
| product2(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1188]) ).
fof(f1190,plain,
( sQ254_spl
| ~ product2(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1188]) ).
fof(f1191,plain,
( sQ254_spl
| sQ253_spl
| sQ252_spl
| sQ251_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f1171,f1176,f1179,f1182,f1185,f1188]) ).
fof(f1192,definition,
( sQ255_spl
<=> product2(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f1193,plain,
( ~ sQ255_spl
| product2(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1192]) ).
fof(f1194,plain,
( sQ255_spl
| ~ product2(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1192]) ).
fof(f1195,definition,
( sQ256_spl
<=> product2(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f1196,plain,
( ~ sQ256_spl
| product2(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1195]) ).
fof(f1197,plain,
( sQ256_spl
| ~ product2(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1195]) ).
fof(f1198,definition,
( sQ257_spl
<=> product2(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f1199,plain,
( ~ sQ257_spl
| product2(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1198]) ).
fof(f1200,plain,
( sQ257_spl
| ~ product2(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1198]) ).
fof(f1201,definition,
( sQ258_spl
<=> product2(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f1202,plain,
( ~ sQ258_spl
| product2(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1201]) ).
fof(f1203,plain,
( sQ258_spl
| ~ product2(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1201]) ).
fof(f1204,definition,
( sQ259_spl
<=> product2(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f1205,plain,
( ~ sQ259_spl
| product2(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1204]) ).
fof(f1206,plain,
( sQ259_spl
| ~ product2(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1204]) ).
fof(f1207,plain,
( sQ259_spl
| sQ258_spl
| sQ257_spl
| sQ256_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f1172,f1192,f1195,f1198,f1201,f1204]) ).
fof(f1208,definition,
( sQ260_spl
<=> product2(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f1209,plain,
( ~ sQ260_spl
| product2(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1208]) ).
fof(f1210,plain,
( sQ260_spl
| ~ product2(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1208]) ).
fof(f1211,definition,
( sQ261_spl
<=> product2(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f1212,plain,
( ~ sQ261_spl
| product2(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1211]) ).
fof(f1213,plain,
( sQ261_spl
| ~ product2(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1211]) ).
fof(f1214,definition,
( sQ262_spl
<=> product2(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f1215,plain,
( ~ sQ262_spl
| product2(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1214]) ).
fof(f1216,plain,
( sQ262_spl
| ~ product2(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1214]) ).
fof(f1217,definition,
( sQ263_spl
<=> product2(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f1218,plain,
( ~ sQ263_spl
| product2(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1217]) ).
fof(f1219,plain,
( sQ263_spl
| ~ product2(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1217]) ).
fof(f1220,definition,
( sQ264_spl
<=> product2(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f1221,plain,
( ~ sQ264_spl
| product2(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1220]) ).
fof(f1222,plain,
( sQ264_spl
| ~ product2(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1220]) ).
fof(f1223,plain,
( sQ264_spl
| sQ263_spl
| sQ262_spl
| sQ261_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f1173,f1208,f1211,f1214,f1217,f1220]) ).
fof(f1224,definition,
( sQ265_spl
<=> product2(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f1225,plain,
( ~ sQ265_spl
| product2(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1224]) ).
fof(f1226,plain,
( sQ265_spl
| ~ product2(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1224]) ).
fof(f1227,definition,
( sQ266_spl
<=> product2(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f1228,plain,
( ~ sQ266_spl
| product2(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1227]) ).
fof(f1229,plain,
( sQ266_spl
| ~ product2(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1227]) ).
fof(f1230,definition,
( sQ267_spl
<=> product2(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f1231,plain,
( ~ sQ267_spl
| product2(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1230]) ).
fof(f1232,plain,
( sQ267_spl
| ~ product2(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1230]) ).
fof(f1233,definition,
( sQ268_spl
<=> product2(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f1234,plain,
( ~ sQ268_spl
| product2(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1233]) ).
fof(f1235,plain,
( sQ268_spl
| ~ product2(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1233]) ).
fof(f1236,definition,
( sQ269_spl
<=> product2(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f1237,plain,
( ~ sQ269_spl
| product2(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1236]) ).
fof(f1238,plain,
( sQ269_spl
| ~ product2(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1236]) ).
fof(f1239,plain,
( sQ269_spl
| sQ268_spl
| sQ267_spl
| sQ266_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f1174,f1224,f1227,f1230,f1233,f1236]) ).
fof(f1240,definition,
( sQ270_spl
<=> product2(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f1243,definition,
( sQ271_spl
<=> product2(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f1244,plain,
( ~ sQ271_spl
| product2(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1243]) ).
fof(f1245,plain,
( sQ271_spl
| ~ product2(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1243]) ).
fof(f1246,definition,
( sQ272_spl
<=> product2(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f1247,plain,
( ~ sQ272_spl
| product2(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1246]) ).
fof(f1248,plain,
( sQ272_spl
| ~ product2(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1246]) ).
fof(f1249,definition,
( sQ273_spl
<=> product2(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f1250,plain,
( ~ sQ273_spl
| product2(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1249]) ).
fof(f1251,plain,
( sQ273_spl
| ~ product2(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1249]) ).
fof(f1252,definition,
( sQ274_spl
<=> product2(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f1253,plain,
( ~ sQ274_spl
| product2(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1252]) ).
fof(f1254,plain,
( sQ274_spl
| ~ product2(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1252]) ).
fof(f1255,plain,
( sQ274_spl
| sQ273_spl
| sQ272_spl
| sQ271_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f1175,f1240,f1243,f1246,f1249,f1252]) ).
fof(f1260,plain,
( ~ sQ46_spl
| ~ sQ41_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f408,f708]) ).
fof(f1261,plain,
( ~ sQ41_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f408,f140]) ).
fof(f1262,plain,
( ~ sQ41_spl
| product2(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f408,f139]) ).
fof(f1263,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f408,f126]) ).
fof(f1264,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f408,f124]) ).
fof(f1265,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f408,f122]) ).
fof(f1266,plain,
! [X0] :
( ~ sQ41_spl
| product2(e_2,X0,e_5)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f408,f137]) ).
fof(f1269,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f405,f126]) ).
fof(f1270,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f405,f124]) ).
fof(f1271,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f405,f122]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ40_spl
| product2(e_1,X0,e_5)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f405,f137]) ).
fof(f1273,plain,
( ~ sQ39_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f401,f141]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f401,f126]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f401,f124]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f401,f122]) ).
fof(f1277,plain,
! [X0] :
( ~ sQ39_spl
| product2(e_5,X0,e_5)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f401,f137]) ).
fof(f1278,plain,
( ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1273,f111]) ).
fof(f1279,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f1278]) ).
fof(f1280,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| ~ greater(X1,X2)
| ~ greater(e_1,X0)
| ~ cycle(e_2,X2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f266,f65]) ).
fof(f1284,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f398,f126]) ).
fof(f1285,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f398,f124]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f398,f122]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ38_spl
| product2(e_4,X0,e_5)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f398,f137]) ).
fof(f1288,plain,
( ~ sQ37_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f395,f140]) ).
fof(f1289,plain,
( ~ sQ37_spl
| product2(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f395,f139]) ).
fof(f1290,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f395,f126]) ).
fof(f1291,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f395,f124]) ).
fof(f1292,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f395,f122]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ37_spl
| product2(e_3,X0,e_5)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f395,f137]) ).
fof(f1294,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1288,f118]) ).
fof(f1295,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f1294]) ).
fof(f1296,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f392,f708]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f392,f126]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f392,f124]) ).
fof(f1299,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f392,f122]) ).
fof(f1300,plain,
! [X0] :
( ~ sQ36_spl
| product2(e_2,X0,e_5)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f392,f137]) ).
fof(f1301,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1296,f108]) ).
fof(f1302,plain,
( ~ sQ46_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1301]) ).
fof(f1303,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| ~ greater(X1,X2)
| ~ greater(e_2,X0)
| ~ cycle(e_3,X2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f273,f66]) ).
fof(f1304,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| equalish(e_0,e_3) ),
inference(resolution,[status(thm)],[f276,f191]) ).
fof(f1305,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f276,f197]) ).
fof(f1306,plain,
( ~ sQ13_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f276,f200]) ).
fof(f1307,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1305,f105]) ).
fof(f1308,plain,
( ~ sQ12_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1307]) ).
fof(f1312,plain,
( ~ sQ38_spl
| ~ sQ35_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f389,f1286]) ).
fof(f1313,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f389,f1269]) ).
fof(f1314,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f389,f126]) ).
fof(f1315,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f389,f124]) ).
fof(f1316,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f389,f122]) ).
fof(f1317,plain,
! [X0] :
( ~ sQ35_spl
| product2(e_1,X0,e_5)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f389,f137]) ).
fof(f1318,plain,
( ~ sQ38_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1312,f102]) ).
fof(f1319,plain,
( ~ sQ38_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1318]) ).
fof(f1320,plain,
( ~ sQ34_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f385,f141]) ).
fof(f1321,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f385,f126]) ).
fof(f1322,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f385,f124]) ).
fof(f1323,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f385,f122]) ).
fof(f1324,plain,
! [X0] :
( ~ sQ34_spl
| product2(e_5,X0,e_5)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f385,f137]) ).
fof(f1325,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1320,f115]) ).
fof(f1326,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f1325]) ).
fof(f1327,plain,
( ~ sQ33_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f382,f140]) ).
fof(f1328,plain,
( ~ sQ33_spl
| product2(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f382,f139]) ).
fof(f1329,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f382,f126]) ).
fof(f1330,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f382,f124]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f382,f122]) ).
fof(f1332,plain,
! [X0] :
( ~ sQ33_spl
| product2(e_4,X0,e_5)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f382,f137]) ).
fof(f1333,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1327,f119]) ).
fof(f1334,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f1333]) ).
fof(f1335,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ greater(X1,X2)
| ~ greater(e_3,X0)
| ~ cycle(e_4,X2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f280,f67]) ).
fof(f1337,plain,
( ~ sQ47_spl
| ~ sQ32_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f379,f704]) ).
fof(f1338,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f379,f126]) ).
fof(f1339,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f379,f124]) ).
fof(f1340,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f379,f122]) ).
fof(f1341,plain,
! [X0] :
( ~ sQ32_spl
| product2(e_3,X0,e_5)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f379,f137]) ).
fof(f1342,plain,
( ~ sQ47_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1337,f112]) ).
fof(f1343,plain,
( ~ sQ47_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1342]) ).
fof(f1344,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1313,f109]) ).
fof(f1345,plain,
( ~ sQ40_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1344]) ).
fof(f1346,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f376,f126]) ).
fof(f1347,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f376,f124]) ).
fof(f1348,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f376,f122]) ).
fof(f1349,plain,
! [X0] :
( ~ sQ31_spl
| product2(e_2,X0,e_5)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f376,f137]) ).
fof(f1350,plain,
( ~ sQ40_spl
| ~ sQ30_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f373,f1269]) ).
fof(f1351,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f373,f126]) ).
fof(f1352,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f373,f124]) ).
fof(f1353,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f373,f122]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ30_spl
| product2(e_1,X0,e_5)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f373,f137]) ).
fof(f1355,plain,
( ~ sQ40_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1350,f113]) ).
fof(f1356,plain,
( ~ sQ40_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1355]) ).
fof(f1357,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1261,f117]) ).
fof(f1358,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f1357]) ).
fof(f1359,plain,
( ~ sQ5_spl
| ~ sQ9_spl
| equalish(e_0,e_4) ),
inference(resolution,[status(thm)],[f282,f175]) ).
fof(f1360,plain,
( ~ sQ6_spl
| ~ sQ9_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f282,f178]) ).
fof(f1361,plain,
( ~ sQ7_spl
| ~ sQ9_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f282,f181]) ).
fof(f1362,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f282,f184]) ).
fof(f1363,plain,
( ~ sQ9_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f282,f187]) ).
fof(f1364,plain,
( ~ sQ6_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1360,f102]) ).
fof(f1365,plain,
( ~ sQ6_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1364]) ).
fof(f1366,plain,
( ~ sQ5_spl
| ~ sQ8_spl
| equalish(e_0,e_3) ),
inference(resolution,[status(thm)],[f283,f175]) ).
fof(f1367,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f283,f181]) ).
fof(f1368,plain,
( ~ sQ8_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f283,f184]) ).
fof(f1369,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1367,f105]) ).
fof(f1370,plain,
( ~ sQ7_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1369]) ).
fof(f1371,plain,
( ~ sQ31_spl
| ~ sQ36_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1297,f376]) ).
fof(f1372,plain,
( ~ sQ31_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1371,f114]) ).
fof(f1373,plain,
( ~ sQ31_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1372]) ).
fof(f1374,plain,
( ~ sQ3_spl
| equalish(e_3,e_0) ),
inference(resolution,[status(thm)],[f168,f152]) ).
fof(f1375,plain,
! [X0,X1] :
( ~ sQ3_spl
| equalish(X0,X1)
| ~ next(e_5,X1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f168,f247]) ).
fof(f1376,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_5,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f168,f240]) ).
fof(f1377,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_3)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f168,f85]) ).
fof(f1378,plain,
( ~ sQ2_spl
| equalish(e_2,e_0) ),
inference(resolution,[status(thm)],[f165,f152]) ).
fof(f1379,plain,
! [X0,X1] :
( ~ sQ2_spl
| equalish(X0,X1)
| ~ next(e_5,X1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f165,f248]) ).
fof(f1380,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_5,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f165,f241]) ).
fof(f1381,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_2)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f165,f85]) ).
fof(f1382,plain,
( ~ sQ1_spl
| equalish(e_1,e_0) ),
inference(resolution,[status(thm)],[f162,f152]) ).
fof(f1383,plain,
! [X0,X1] :
( ~ sQ1_spl
| equalish(X0,X1)
| ~ next(e_5,X1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f162,f249]) ).
fof(f1384,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_5,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f162,f242]) ).
fof(f1385,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_1)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f162,f85]) ).
fof(f1386,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ greater(X1,X2)
| ~ greater(e_4,X0)
| ~ cycle(e_5,X2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f287,f68]) ).
fof(f1391,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f290,f162]) ).
fof(f1392,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f290,f165]) ).
fof(f1393,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f290,f168]) ).
fof(f1394,plain,
( ~ sQ4_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f290,f171]) ).
fof(f1395,plain,
( ~ sQ4_spl
| equalish(e_0,e_4) ),
inference(resolution,[status(thm)],[f290,f87]) ).
fof(f1396,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1391,f102]) ).
fof(f1397,plain,
( ~ sQ1_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1396]) ).
fof(f1398,plain,
( ~ sQ31_spl
| ~ sQ46_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f708,f376]) ).
fof(f1399,plain,
( ~ sQ31_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1398,f112]) ).
fof(f1400,plain,
( ~ sQ31_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1399]) ).
fof(f1401,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| product2(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f366,f1349]) ).
fof(f1402,plain,
( ~ sQ28_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f366,f138]) ).
fof(f1403,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_5)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f366,f126]) ).
fof(f1404,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_5)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f366,f124]) ).
fof(f1405,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f366,f122]) ).
fof(f1406,plain,
! [X0] :
( ~ sQ28_spl
| product2(e_4,X0,e_5)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f366,f137]) ).
fof(f1407,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1402,f115]) ).
fof(f1408,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f1407]) ).
fof(f1409,plain,
( ~ sQ35_spl
| ~ sQ27_spl
| product2(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f363,f1317]) ).
fof(f1410,plain,
( ~ sQ27_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f363,f138]) ).
fof(f1411,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_5)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f363,f126]) ).
fof(f1412,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_5)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f363,f124]) ).
fof(f1413,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f363,f122]) ).
fof(f1414,plain,
! [X0] :
( ~ sQ27_spl
| product2(e_3,X0,e_5)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f363,f137]) ).
fof(f1415,plain,
( ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1410,f111]) ).
fof(f1416,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f1415]) ).
fof(f1417,plain,
( ~ sQ31_spl
| ~ sQ26_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f360,f1346]) ).
fof(f1418,plain,
( ~ sQ26_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f360,f138]) ).
fof(f1419,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_5)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f360,f126]) ).
fof(f1420,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_5)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f360,f124]) ).
fof(f1421,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f360,f122]) ).
fof(f1422,plain,
! [X0] :
( ~ sQ26_spl
| product2(e_2,X0,e_5)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f360,f137]) ).
fof(f1423,plain,
( ~ sQ31_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1417,f119]) ).
fof(f1424,plain,
( ~ sQ31_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1423]) ).
fof(f1425,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f357,f1314]) ).
fof(f1426,plain,
( ~ sQ25_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f357,f138]) ).
fof(f1427,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_5)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f357,f126]) ).
fof(f1428,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_5)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f357,f124]) ).
fof(f1429,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f357,f122]) ).
fof(f1430,plain,
! [X0] :
( ~ sQ25_spl
| product2(e_1,X0,e_5)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f357,f137]) ).
fof(f1431,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1425,f118]) ).
fof(f1432,plain,
( ~ sQ35_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1431]) ).
fof(f1433,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f518,f126]) ).
fof(f1434,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f518,f124]) ).
fof(f1435,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f518,f122]) ).
fof(f1436,plain,
! [X0] :
( ~ sQ74_spl
| product2(e_5,X0,e_4)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f518,f137]) ).
fof(f1437,plain,
( ~ sQ73_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f515,f141]) ).
fof(f1438,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f515,f126]) ).
fof(f1439,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f515,f124]) ).
fof(f1440,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f515,f122]) ).
fof(f1441,plain,
! [X0] :
( ~ sQ73_spl
| product2(e_4,X0,e_4)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f515,f137]) ).
fof(f1442,plain,
( ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1437,f102]) ).
fof(f1443,plain,
~ sQ73_spl,
inference(contradiction_clause,[status(thm)],[f1442]) ).
fof(f1444,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f512,f126]) ).
fof(f1445,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f512,f124]) ).
fof(f1446,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f512,f122]) ).
fof(f1447,plain,
! [X0] :
( ~ sQ72_spl
| product2(e_3,X0,e_4)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f512,f137]) ).
fof(f1448,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f509,f126]) ).
fof(f1449,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f509,f124]) ).
fof(f1450,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f509,f122]) ).
fof(f1451,plain,
! [X0] :
( ~ sQ71_spl
| product2(e_2,X0,e_4)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f509,f137]) ).
fof(f1452,plain,
( ~ sQ70_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f506,f140]) ).
fof(f1453,plain,
( ~ sQ70_spl
| product2(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f506,f139]) ).
fof(f1454,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f506,f126]) ).
fof(f1455,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f506,f124]) ).
fof(f1456,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f506,f122]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ70_spl
| product2(e_1,X0,e_4)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f506,f137]) ).
fof(f1458,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1452,f112]) ).
fof(f1459,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f1458]) ).
fof(f1460,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f502,f126]) ).
fof(f1461,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f502,f124]) ).
fof(f1462,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f502,f122]) ).
fof(f1463,plain,
! [X0] :
( ~ sQ69_spl
| product2(e_5,X0,e_4)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f502,f137]) ).
fof(f1464,plain,
( ~ sQ68_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f499,f141]) ).
fof(f1465,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f499,f126]) ).
fof(f1466,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f499,f124]) ).
fof(f1467,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f499,f122]) ).
fof(f1468,plain,
! [X0] :
( ~ sQ68_spl
| product2(e_4,X0,e_4)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f499,f137]) ).
fof(f1469,plain,
( ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1464,f106]) ).
fof(f1470,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f1469]) ).
fof(f1471,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f496,f126]) ).
fof(f1472,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f496,f124]) ).
fof(f1473,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f496,f122]) ).
fof(f1474,plain,
! [X0] :
( ~ sQ67_spl
| product2(e_3,X0,e_4)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f496,f137]) ).
fof(f1475,plain,
( ~ sQ67_spl
| ~ sQ42_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f996,f496]) ).
fof(f1476,plain,
( ~ sQ67_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1475,f115]) ).
fof(f1477,plain,
( ~ sQ67_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1476]) ).
fof(f1478,plain,
( ~ sQ69_spl
| ~ sQ74_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1433,f502]) ).
fof(f1480,plain,
( ~ sQ69_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1478,f104]) ).
fof(f1481,plain,
( ~ sQ69_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f1480]) ).
fof(f1484,plain,
( ~ sQ66_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f493,f140]) ).
fof(f1485,plain,
( ~ sQ66_spl
| product2(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f493,f139]) ).
fof(f1486,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f493,f126]) ).
fof(f1487,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f493,f124]) ).
fof(f1488,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f493,f122]) ).
fof(f1489,plain,
! [X0] :
( ~ sQ66_spl
| product2(e_2,X0,e_4)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f493,f137]) ).
fof(f1490,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1484,f113]) ).
fof(f1491,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f1490]) ).
fof(f1492,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f490,f126]) ).
fof(f1493,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f490,f124]) ).
fof(f1494,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f490,f122]) ).
fof(f1495,plain,
! [X0] :
( ~ sQ65_spl
| product2(e_1,X0,e_4)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f490,f137]) ).
fof(f1496,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f486,f126]) ).
fof(f1497,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f486,f124]) ).
fof(f1498,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f486,f122]) ).
fof(f1499,plain,
! [X0] :
( ~ sQ64_spl
| product2(e_5,X0,e_4)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f486,f137]) ).
fof(f1500,plain,
( ~ sQ63_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f483,f141]) ).
fof(f1501,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f483,f126]) ).
fof(f1502,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f483,f124]) ).
fof(f1503,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f483,f122]) ).
fof(f1504,plain,
! [X0] :
( ~ sQ63_spl
| product2(e_4,X0,e_4)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f483,f137]) ).
fof(f1505,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1500,f110]) ).
fof(f1506,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f1505]) ).
fof(f1508,plain,
( ~ sQ62_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f480,f140]) ).
fof(f1509,plain,
( ~ sQ62_spl
| product2(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f480,f139]) ).
fof(f1510,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f480,f126]) ).
fof(f1511,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f480,f124]) ).
fof(f1512,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f480,f122]) ).
fof(f1513,plain,
! [X0] :
( ~ sQ62_spl
| product2(e_3,X0,e_4)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f480,f137]) ).
fof(f1516,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f477,f126]) ).
fof(f1517,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f477,f124]) ).
fof(f1518,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f477,f122]) ).
fof(f1519,plain,
! [X0] :
( ~ sQ61_spl
| product2(e_2,X0,e_4)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f477,f137]) ).
fof(f1520,plain,
( ~ sQ61_spl
| ~ sQ71_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1448,f477]) ).
fof(f1522,plain,
( ~ sQ61_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1520,f108]) ).
fof(f1523,plain,
( ~ sQ61_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1522]) ).
fof(f1524,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f474,f126]) ).
fof(f1525,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f474,f124]) ).
fof(f1526,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f474,f122]) ).
fof(f1527,plain,
! [X0] :
( ~ sQ60_spl
| product2(e_1,X0,e_4)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f474,f137]) ).
fof(f1528,plain,
( ~ sQ59_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f470,f138]) ).
fof(f1529,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f470,f126]) ).
fof(f1530,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f470,f124]) ).
fof(f1531,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f470,f122]) ).
fof(f1532,plain,
! [X0] :
( ~ sQ59_spl
| product2(e_5,X0,e_4)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f470,f137]) ).
fof(f1533,plain,
( ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1528,f119]) ).
fof(f1534,plain,
~ sQ59_spl,
inference(contradiction_clause,[status(thm)],[f1533]) ).
fof(f1535,plain,
( ~ sQ57_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f464,f138]) ).
fof(f1536,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_4)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f464,f126]) ).
fof(f1537,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_4)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f464,f124]) ).
fof(f1538,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f464,f122]) ).
fof(f1539,plain,
! [X0] :
( ~ sQ57_spl
| product2(e_3,X0,e_4)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f464,f137]) ).
fof(f1540,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1535,f110]) ).
fof(f1541,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f1540]) ).
fof(f1542,plain,
( ~ sQ31_spl
| ~ sQ56_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f461,f1347]) ).
fof(f1543,plain,
( ~ sQ56_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f461,f138]) ).
fof(f1544,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f461,f126]) ).
fof(f1545,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f461,f124]) ).
fof(f1546,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f461,f122]) ).
fof(f1547,plain,
! [X0] :
( ~ sQ56_spl
| product2(e_2,X0,e_4)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f461,f137]) ).
fof(f1548,plain,
( ~ sQ31_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1542,f115]) ).
fof(f1549,plain,
( ~ sQ31_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1548]) ).
fof(f1550,plain,
( ~ sQ55_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f458,f138]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f458,f126]) ).
fof(f1552,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f458,f124]) ).
fof(f1553,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f458,f122]) ).
fof(f1554,plain,
! [X0] :
( ~ sQ55_spl
| product2(e_1,X0,e_4)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f458,f137]) ).
fof(f1555,plain,
( ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1550,f102]) ).
fof(f1556,plain,
~ sQ55_spl,
inference(contradiction_clause,[status(thm)],[f1555]) ).
fof(f1557,plain,
( ~ sQ54_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f454,f140]) ).
fof(f1558,plain,
( ~ sQ54_spl
| product2(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f454,f139]) ).
fof(f1559,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f454,f126]) ).
fof(f1560,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f454,f124]) ).
fof(f1561,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f454,f122]) ).
fof(f1562,plain,
! [X0] :
( ~ sQ54_spl
| product2(e_5,X0,e_4)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f454,f137]) ).
fof(f1563,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1557,f115]) ).
fof(f1564,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f1563]) ).
fof(f1565,plain,
( ~ sQ60_spl
| ~ sQ65_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1492,f474]) ).
fof(f1567,plain,
( ~ sQ60_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1565,f109]) ).
fof(f1568,plain,
( ~ sQ60_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1567]) ).
fof(f1572,plain,
( ~ sQ53_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f451,f141]) ).
fof(f1573,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f451,f126]) ).
fof(f1574,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f451,f124]) ).
fof(f1575,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f451,f122]) ).
fof(f1576,plain,
! [X0] :
( ~ sQ53_spl
| product2(e_4,X0,e_4)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f451,f137]) ).
fof(f1577,plain,
( ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1572,f119]) ).
fof(f1578,plain,
~ sQ53_spl,
inference(contradiction_clause,[status(thm)],[f1577]) ).
fof(f1579,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f448,f126]) ).
fof(f1580,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f448,f124]) ).
fof(f1581,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f448,f122]) ).
fof(f1582,plain,
! [X0] :
( ~ sQ52_spl
| product2(e_3,X0,e_4)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f448,f137]) ).
fof(f1583,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f445,f126]) ).
fof(f1584,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f445,f124]) ).
fof(f1585,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f445,f122]) ).
fof(f1586,plain,
! [X0] :
( ~ sQ51_spl
| product2(e_2,X0,e_4)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f445,f137]) ).
fof(f1587,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f442,f126]) ).
fof(f1588,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f442,f124]) ).
fof(f1589,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f442,f122]) ).
fof(f1590,plain,
! [X0] :
( ~ sQ50_spl
| product2(e_1,X0,e_4)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f442,f137]) ).
fof(f1591,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f603,f126]) ).
fof(f1592,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f603,f124]) ).
fof(f1593,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f603,f122]) ).
fof(f1594,plain,
! [X0] :
( ~ sQ99_spl
| product2(e_5,X0,e_3)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f603,f137]) ).
fof(f1595,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f600,f126]) ).
fof(f1596,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f600,f124]) ).
fof(f1597,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f600,f122]) ).
fof(f1598,plain,
! [X0] :
( ~ sQ98_spl
| product2(e_4,X0,e_3)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f600,f137]) ).
fof(f1599,plain,
( ~ sQ52_spl
| ~ sQ72_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1444,f448]) ).
fof(f1600,plain,
( ~ sQ52_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1599,f116]) ).
fof(f1601,plain,
( ~ sQ52_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f1600]) ).
fof(f1602,plain,
( ~ sQ97_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f597,f141]) ).
fof(f1603,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f597,f126]) ).
fof(f1604,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f597,f124]) ).
fof(f1605,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f597,f122]) ).
fof(f1606,plain,
! [X0] :
( ~ sQ97_spl
| product2(e_3,X0,e_3)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f597,f137]) ).
fof(f1607,plain,
( ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1602,f101]) ).
fof(f1608,plain,
~ sQ97_spl,
inference(contradiction_clause,[status(thm)],[f1607]) ).
fof(f1609,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f594,f126]) ).
fof(f1610,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f594,f124]) ).
fof(f1611,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f594,f122]) ).
fof(f1612,plain,
! [X0] :
( ~ sQ96_spl
| product2(e_2,X0,e_3)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f594,f137]) ).
fof(f1613,plain,
( ~ sQ95_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f591,f140]) ).
fof(f1614,plain,
( ~ sQ95_spl
| product2(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f591,f139]) ).
fof(f1615,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f591,f126]) ).
fof(f1616,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f591,f124]) ).
fof(f1617,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f591,f122]) ).
fof(f1618,plain,
! [X0] :
( ~ sQ95_spl
| product2(e_1,X0,e_3)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f591,f137]) ).
fof(f1619,plain,
( ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1613,f108]) ).
fof(f1620,plain,
~ sQ95_spl,
inference(contradiction_clause,[status(thm)],[f1619]) ).
fof(f1621,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f587,f126]) ).
fof(f1622,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f587,f124]) ).
fof(f1623,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f587,f122]) ).
fof(f1624,plain,
! [X0] :
( ~ sQ94_spl
| product2(e_5,X0,e_3)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f587,f137]) ).
fof(f1625,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f584,f126]) ).
fof(f1626,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f584,f124]) ).
fof(f1627,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f584,f122]) ).
fof(f1628,plain,
! [X0] :
( ~ sQ93_spl
| product2(e_4,X0,e_3)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f584,f137]) ).
fof(f1629,plain,
( ~ sQ92_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f581,f141]) ).
fof(f1630,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f581,f126]) ).
fof(f1631,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f581,f124]) ).
fof(f1632,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f581,f122]) ).
fof(f1633,plain,
! [X0] :
( ~ sQ92_spl
| product2(e_3,X0,e_3)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f581,f137]) ).
fof(f1634,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1629,f105]) ).
fof(f1635,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f1634]) ).
fof(f1636,plain,
( ~ sQ51_spl
| ~ sQ40_spl
| product2(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f1272,f445]) ).
fof(f1637,plain,
( ~ sQ50_spl
| ~ sQ47_spl
| product2(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f707,f442]) ).
fof(f1638,plain,
( ~ sQ91_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f578,f140]) ).
fof(f1639,plain,
( ~ sQ91_spl
| product2(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f578,f139]) ).
fof(f1640,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f578,f126]) ).
fof(f1641,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f578,f124]) ).
fof(f1642,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f578,f122]) ).
fof(f1643,plain,
! [X0] :
( ~ sQ91_spl
| product2(e_2,X0,e_3)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f578,f137]) ).
fof(f1644,plain,
( ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1638,f109]) ).
fof(f1645,plain,
~ sQ91_spl,
inference(contradiction_clause,[status(thm)],[f1644]) ).
fof(f1646,plain,
( ~ sQ40_spl
| ~ sQ90_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f575,f1270]) ).
fof(f1647,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f575,f126]) ).
fof(f1648,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f575,f124]) ).
fof(f1649,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f575,f122]) ).
fof(f1650,plain,
! [X0] :
( ~ sQ90_spl
| product2(e_1,X0,e_3)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f575,f137]) ).
fof(f1651,plain,
( ~ sQ40_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1646,f111]) ).
fof(f1652,plain,
( ~ sQ40_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f1651]) ).
fof(f1653,plain,
( ~ sQ64_spl
| ~ sQ89_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f571,f1497]) ).
fof(f1654,plain,
( ~ sQ89_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f571,f138]) ).
fof(f1655,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f571,f126]) ).
fof(f1656,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f571,f124]) ).
fof(f1657,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f571,f122]) ).
fof(f1658,plain,
! [X0] :
( ~ sQ89_spl
| product2(e_5,X0,e_3)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f571,f137]) ).
fof(f1659,plain,
( ~ sQ64_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1653,f110]) ).
fof(f1660,plain,
( ~ sQ64_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1659]) ).
fof(f1661,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1508,f114]) ).
fof(f1662,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f1661]) ).
fof(f1663,plain,
( ~ sQ88_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f568,f138]) ).
fof(f1664,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f568,f126]) ).
fof(f1665,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f568,f124]) ).
fof(f1666,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f568,f122]) ).
fof(f1667,plain,
! [X0] :
( ~ sQ88_spl
| product2(e_4,X0,e_3)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f568,f137]) ).
fof(f1668,plain,
( ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1663,f114]) ).
fof(f1669,plain,
~ sQ88_spl,
inference(contradiction_clause,[status(thm)],[f1668]) ).
fof(f1670,plain,
( ~ sQ86_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f562,f138]) ).
fof(f1671,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f562,f126]) ).
fof(f1672,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f562,f124]) ).
fof(f1673,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f562,f122]) ).
fof(f1674,plain,
! [X0] :
( ~ sQ86_spl
| product2(e_2,X0,e_3)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f562,f137]) ).
fof(f1675,plain,
( ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1670,f105]) ).
fof(f1676,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f1675]) ).
fof(f1677,plain,
( ~ sQ85_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f559,f138]) ).
fof(f1678,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f559,f126]) ).
fof(f1679,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f559,f124]) ).
fof(f1680,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f559,f122]) ).
fof(f1681,plain,
! [X0] :
( ~ sQ85_spl
| product2(e_1,X0,e_3)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f559,f137]) ).
fof(f1682,plain,
( ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1677,f101]) ).
fof(f1683,plain,
~ sQ85_spl,
inference(contradiction_clause,[status(thm)],[f1682]) ).
fof(f1686,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1585,f442]) ).
fof(f1688,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1686,f100]) ).
fof(f1689,plain,
( ~ sQ50_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1688]) ).
fof(f1691,plain,
( ~ sQ50_spl
| ~ sQ84_spl
| product2(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f555,f1590]) ).
fof(f1692,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f555,f126]) ).
fof(f1693,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f555,f124]) ).
fof(f1694,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f555,f122]) ).
fof(f1695,plain,
! [X0] :
( ~ sQ84_spl
| product2(e_5,X0,e_3)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f555,f137]) ).
fof(f1696,plain,
( ~ sQ83_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f552,f140]) ).
fof(f1697,plain,
( ~ sQ83_spl
| product2(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f552,f139]) ).
fof(f1698,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f552,f126]) ).
fof(f1699,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f552,f124]) ).
fof(f1700,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f552,f122]) ).
fof(f1701,plain,
! [X0] :
( ~ sQ83_spl
| product2(e_4,X0,e_3)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f552,f137]) ).
fof(f1702,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1696,f110]) ).
fof(f1703,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f1702]) ).
fof(f1704,plain,
( ~ sQ82_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f549,f141]) ).
fof(f1705,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f549,f126]) ).
fof(f1706,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f549,f124]) ).
fof(f1707,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f549,f122]) ).
fof(f1708,plain,
! [X0] :
( ~ sQ82_spl
| product2(e_3,X0,e_3)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f549,f137]) ).
fof(f1709,plain,
( ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1704,f114]) ).
fof(f1710,plain,
~ sQ82_spl,
inference(contradiction_clause,[status(thm)],[f1709]) ).
fof(f1711,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f546,f126]) ).
fof(f1712,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f546,f124]) ).
fof(f1713,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f546,f122]) ).
fof(f1714,plain,
! [X0] :
( ~ sQ81_spl
| product2(e_2,X0,e_3)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f546,f137]) ).
fof(f1715,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f543,f126]) ).
fof(f1716,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f543,f124]) ).
fof(f1717,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f543,f122]) ).
fof(f1718,plain,
! [X0] :
( ~ sQ80_spl
| product2(e_1,X0,e_3)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f543,f137]) ).
fof(f1719,plain,
( ~ sQ79_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f539,f140]) ).
fof(f1720,plain,
( ~ sQ79_spl
| product2(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f539,f139]) ).
fof(f1721,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f539,f126]) ).
fof(f1722,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f539,f124]) ).
fof(f1723,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f539,f122]) ).
fof(f1724,plain,
! [X0] :
( ~ sQ79_spl
| product2(e_5,X0,e_3)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f539,f137]) ).
fof(f1725,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1719,f111]) ).
fof(f1726,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f1725]) ).
fof(f1729,plain,
( ~ sQ84_spl
| ~ sQ99_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1591,f555]) ).
fof(f1730,plain,
( ~ sQ94_spl
| ~ sQ99_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1591,f587]) ).
fof(f1732,plain,
( ~ sQ84_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1729,f112]) ).
fof(f1733,plain,
( ~ sQ84_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f1732]) ).
fof(f1734,plain,
( ~ sQ93_spl
| ~ sQ98_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1595,f584]) ).
fof(f1736,plain,
( ~ sQ93_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1734,f104]) ).
fof(f1737,plain,
( ~ sQ93_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f1736]) ).
fof(f1738,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f536,f126]) ).
fof(f1739,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f536,f124]) ).
fof(f1740,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f536,f122]) ).
fof(f1741,plain,
! [X0] :
( ~ sQ78_spl
| product2(e_4,X0,e_3)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f536,f137]) ).
fof(f1742,plain,
( ~ sQ77_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f533,f141]) ).
fof(f1743,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f533,f126]) ).
fof(f1744,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f533,f124]) ).
fof(f1745,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f533,f122]) ).
fof(f1746,plain,
! [X0] :
( ~ sQ77_spl
| product2(e_3,X0,e_3)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f533,f137]) ).
fof(f1747,plain,
( ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1742,f118]) ).
fof(f1748,plain,
~ sQ77_spl,
inference(contradiction_clause,[status(thm)],[f1747]) ).
fof(f1749,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f530,f126]) ).
fof(f1750,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f530,f124]) ).
fof(f1751,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f530,f122]) ).
fof(f1752,plain,
! [X0] :
( ~ sQ76_spl
| product2(e_2,X0,e_3)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f530,f137]) ).
fof(f1753,plain,
( ~ sQ50_spl
| ~ sQ75_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f527,f1588]) ).
fof(f1754,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f527,f126]) ).
fof(f1755,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f527,f124]) ).
fof(f1756,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f527,f122]) ).
fof(f1757,plain,
! [X0] :
( ~ sQ75_spl
| product2(e_1,X0,e_3)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f527,f137]) ).
fof(f1758,plain,
( ~ sQ50_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1753,f110]) ).
fof(f1759,plain,
( ~ sQ50_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f1758]) ).
fof(f1760,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f688,f126]) ).
fof(f1761,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f688,f124]) ).
fof(f1762,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f688,f122]) ).
fof(f1763,plain,
! [X0] :
( ~ sQ124_spl
| product2(e_5,X0,e_2)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f688,f137]) ).
fof(f1764,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f685,f126]) ).
fof(f1765,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f685,f124]) ).
fof(f1766,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f685,f122]) ).
fof(f1767,plain,
! [X0] :
( ~ sQ123_spl
| product2(e_4,X0,e_2)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f685,f137]) ).
fof(f1768,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1609,f546]) ).
fof(f1770,plain,
( ~ sQ76_spl
| ~ sQ96_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1609,f530]) ).
fof(f1771,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1768,f112]) ).
fof(f1772,plain,
( ~ sQ81_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f1771]) ).
fof(f1776,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f682,f126]) ).
fof(f1777,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f682,f124]) ).
fof(f1778,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f682,f122]) ).
fof(f1779,plain,
! [X0] :
( ~ sQ122_spl
| product2(e_3,X0,e_2)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f682,f137]) ).
fof(f1780,plain,
( ~ sQ121_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f679,f141]) ).
fof(f1781,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f679,f126]) ).
fof(f1782,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f679,f124]) ).
fof(f1783,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f679,f122]) ).
fof(f1784,plain,
! [X0] :
( ~ sQ121_spl
| product2(e_2,X0,e_2)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f679,f137]) ).
fof(f1785,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1780,f100]) ).
fof(f1786,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f1785]) ).
fof(f1787,plain,
( ~ sQ120_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f676,f140]) ).
fof(f1788,plain,
( ~ sQ120_spl
| product2(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f676,f139]) ).
fof(f1789,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f676,f126]) ).
fof(f1790,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f676,f124]) ).
fof(f1791,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f676,f122]) ).
fof(f1792,plain,
! [X0] :
( ~ sQ120_spl
| product2(e_1,X0,e_2)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f676,f137]) ).
fof(f1793,plain,
( ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1787,f104]) ).
fof(f1794,plain,
~ sQ120_spl,
inference(contradiction_clause,[status(thm)],[f1793]) ).
fof(f1795,plain,
( ~ sQ94_spl
| ~ sQ119_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f672,f1622]) ).
fof(f1796,plain,
( ~ sQ119_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f672,f138]) ).
fof(f1797,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f672,f126]) ).
fof(f1798,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f672,f124]) ).
fof(f1799,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f672,f122]) ).
fof(f1800,plain,
! [X0] :
( ~ sQ119_spl
| product2(e_5,X0,e_2)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f672,f137]) ).
fof(f1801,plain,
( ~ sQ94_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1795,f105]) ).
fof(f1802,plain,
( ~ sQ94_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f1801]) ).
fof(f1803,plain,
( ~ sQ118_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f669,f138]) ).
fof(f1804,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f669,f126]) ).
fof(f1805,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f669,f124]) ).
fof(f1806,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f669,f122]) ).
fof(f1807,plain,
! [X0] :
( ~ sQ118_spl
| product2(e_4,X0,e_2)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f669,f137]) ).
fof(f1808,plain,
( ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1803,f113]) ).
fof(f1809,plain,
~ sQ118_spl,
inference(contradiction_clause,[status(thm)],[f1808]) ).
fof(f1810,plain,
( ~ sQ117_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f666,f138]) ).
fof(f1811,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f666,f126]) ).
fof(f1812,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f666,f124]) ).
fof(f1813,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f666,f122]) ).
fof(f1814,plain,
! [X0] :
( ~ sQ117_spl
| product2(e_3,X0,e_2)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f666,f137]) ).
fof(f1815,plain,
( ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1810,f109]) ).
fof(f1816,plain,
~ sQ117_spl,
inference(contradiction_clause,[status(thm)],[f1815]) ).
fof(f1817,plain,
( ~ sQ76_spl
| ~ sQ42_spl
| product2(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f998,f530]) ).
fof(f1819,plain,
( ~ sQ115_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f660,f138]) ).
fof(f1820,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f660,f126]) ).
fof(f1821,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f660,f124]) ).
fof(f1822,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f660,f122]) ).
fof(f1823,plain,
! [X0] :
( ~ sQ115_spl
| product2(e_1,X0,e_2)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f660,f137]) ).
fof(f1826,plain,
( ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1819,f100]) ).
fof(f1827,plain,
~ sQ115_spl,
inference(contradiction_clause,[status(thm)],[f1826]) ).
fof(f1828,plain,
( ~ sQ76_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1770,f116]) ).
fof(f1829,plain,
( ~ sQ76_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f1828]) ).
fof(f1830,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f656,f126]) ).
fof(f1831,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f656,f124]) ).
fof(f1832,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f656,f122]) ).
fof(f1833,plain,
! [X0] :
( ~ sQ114_spl
| product2(e_5,X0,e_2)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f656,f137]) ).
fof(f1834,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f653,f126]) ).
fof(f1835,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f653,f124]) ).
fof(f1836,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f653,f122]) ).
fof(f1837,plain,
! [X0] :
( ~ sQ113_spl
| product2(e_4,X0,e_2)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f653,f137]) ).
fof(f1838,plain,
( ~ sQ112_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f650,f140]) ).
fof(f1839,plain,
( ~ sQ112_spl
| product2(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f650,f139]) ).
fof(f1840,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f650,f126]) ).
fof(f1841,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f650,f124]) ).
fof(f1842,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f650,f122]) ).
fof(f1843,plain,
! [X0] :
( ~ sQ112_spl
| product2(e_3,X0,e_2)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f650,f137]) ).
fof(f1844,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1838,f105]) ).
fof(f1845,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f1844]) ).
fof(f1846,plain,
( ~ sQ111_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f647,f141]) ).
fof(f1847,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f647,f126]) ).
fof(f1848,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f647,f124]) ).
fof(f1849,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f647,f122]) ).
fof(f1850,plain,
! [X0] :
( ~ sQ111_spl
| product2(e_2,X0,e_2)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f647,f137]) ).
fof(f1851,plain,
( ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1846,f109]) ).
fof(f1852,plain,
~ sQ111_spl,
inference(contradiction_clause,[status(thm)],[f1851]) ).
fof(f1853,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f644,f126]) ).
fof(f1854,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f644,f124]) ).
fof(f1855,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f644,f122]) ).
fof(f1856,plain,
! [X0] :
( ~ sQ110_spl
| product2(e_1,X0,e_2)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f644,f137]) ).
fof(f1857,plain,
( ~ sQ80_spl
| ~ sQ72_spl
| product2(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f1447,f543]) ).
fof(f1858,plain,
( ~ sQ113_spl
| ~ sQ80_spl
| product2(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f1718,f653]) ).
fof(f1859,plain,
( ~ sQ122_spl
| ~ sQ72_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1445,f682]) ).
fof(f1860,plain,
( ~ sQ122_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1859,f106]) ).
fof(f1861,plain,
( ~ sQ122_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f1860]) ).
fof(f1865,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f640,f126]) ).
fof(f1866,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f640,f124]) ).
fof(f1867,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f640,f122]) ).
fof(f1868,plain,
! [X0] :
( ~ sQ109_spl
| product2(e_5,X0,e_2)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f640,f137]) ).
fof(f1869,plain,
( ~ sQ108_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f637,f140]) ).
fof(f1870,plain,
( ~ sQ108_spl
| product2(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f637,f139]) ).
fof(f1871,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f637,f126]) ).
fof(f1872,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f637,f124]) ).
fof(f1873,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f637,f122]) ).
fof(f1874,plain,
! [X0] :
( ~ sQ108_spl
| product2(e_4,X0,e_2)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f637,f137]) ).
fof(f1875,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1869,f106]) ).
fof(f1876,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f1875]) ).
fof(f1877,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f634,f126]) ).
fof(f1878,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f634,f124]) ).
fof(f1879,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f634,f122]) ).
fof(f1880,plain,
! [X0] :
( ~ sQ107_spl
| product2(e_3,X0,e_2)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f634,f137]) ).
fof(f1881,plain,
( ~ sQ106_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f631,f141]) ).
fof(f1882,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f631,f126]) ).
fof(f1883,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f631,f124]) ).
fof(f1884,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f631,f122]) ).
fof(f1885,plain,
! [X0] :
( ~ sQ106_spl
| product2(e_2,X0,e_2)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f631,f137]) ).
fof(f1886,plain,
( ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1881,f113]) ).
fof(f1887,plain,
~ sQ106_spl,
inference(contradiction_clause,[status(thm)],[f1886]) ).
fof(f1888,plain,
( ~ sQ80_spl
| ~ sQ105_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f628,f1716]) ).
fof(f1889,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f628,f126]) ).
fof(f1890,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f628,f124]) ).
fof(f1891,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f628,f122]) ).
fof(f1892,plain,
! [X0] :
( ~ sQ105_spl
| product2(e_1,X0,e_2)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f628,f137]) ).
fof(f1893,plain,
( ~ sQ80_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1888,f105]) ).
fof(f1894,plain,
( ~ sQ80_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f1893]) ).
fof(f1895,plain,
( ~ sQ104_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f624,f140]) ).
fof(f1896,plain,
( ~ sQ104_spl
| product2(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f624,f139]) ).
fof(f1897,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f624,f126]) ).
fof(f1898,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f624,f124]) ).
fof(f1899,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f624,f122]) ).
fof(f1900,plain,
! [X0] :
( ~ sQ104_spl
| product2(e_5,X0,e_2)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f624,f137]) ).
fof(f1901,plain,
( ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1895,f107]) ).
fof(f1902,plain,
~ sQ104_spl,
inference(contradiction_clause,[status(thm)],[f1901]) ).
fof(f1903,plain,
( ~ sQ114_spl
| ~ sQ78_spl
| product2(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f1741,f656]) ).
fof(f1907,plain,
( ~ sQ114_spl
| ~ sQ124_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1760,f656]) ).
fof(f1908,plain,
( ~ sQ109_spl
| ~ sQ124_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1760,f640]) ).
fof(f1910,plain,
( ~ sQ114_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1907,f108]) ).
fof(f1911,plain,
( ~ sQ114_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f1910]) ).
fof(f1912,plain,
( ~ sQ78_spl
| ~ sQ103_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f621,f1739]) ).
fof(f1913,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f621,f126]) ).
fof(f1914,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f621,f124]) ).
fof(f1915,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f621,f122]) ).
fof(f1916,plain,
! [X0] :
( ~ sQ103_spl
| product2(e_4,X0,e_2)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f621,f137]) ).
fof(f1917,plain,
( ~ sQ78_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1912,f105]) ).
fof(f1918,plain,
( ~ sQ78_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f1917]) ).
fof(f1919,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f618,f126]) ).
fof(f1920,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f618,f124]) ).
fof(f1921,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f618,f122]) ).
fof(f1922,plain,
! [X0] :
( ~ sQ102_spl
| product2(e_3,X0,e_2)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f618,f137]) ).
fof(f1923,plain,
( ~ sQ101_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f615,f141]) ).
fof(f1924,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f615,f126]) ).
fof(f1925,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f615,f124]) ).
fof(f1926,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f615,f122]) ).
fof(f1927,plain,
! [X0] :
( ~ sQ101_spl
| product2(e_2,X0,e_2)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f615,f137]) ).
fof(f1928,plain,
( ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1923,f117]) ).
fof(f1929,plain,
~ sQ101_spl,
inference(contradiction_clause,[status(thm)],[f1928]) ).
fof(f1930,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f612,f126]) ).
fof(f1931,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f612,f124]) ).
fof(f1932,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f612,f122]) ).
fof(f1933,plain,
! [X0] :
( ~ sQ100_spl
| product2(e_1,X0,e_2)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f612,f137]) ).
fof(f1934,plain,
( ~ sQ113_spl
| ~ sQ123_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1764,f653]) ).
fof(f1936,plain,
( ~ sQ113_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1934,f108]) ).
fof(f1937,plain,
( ~ sQ113_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f1936]) ).
fof(f1938,plain,
( ~ sQ100_spl
| ~ sQ110_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1853,f612]) ).
fof(f1940,plain,
( ~ sQ100_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1938,f118]) ).
fof(f1941,plain,
( ~ sQ100_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f1940]) ).
fof(f1942,plain,
( ~ sQ149_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f802,f138]) ).
fof(f1943,plain,
! [X0] :
( ~ sQ149_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f802,f126]) ).
fof(f1944,plain,
! [X0] :
( ~ sQ149_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f802,f124]) ).
fof(f1945,plain,
! [X0] :
( ~ sQ149_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f802,f122]) ).
fof(f1946,plain,
! [X0] :
( ~ sQ149_spl
| product2(e_5,X0,e_1)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f802,f137]) ).
fof(f1947,plain,
( ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1942,f116]) ).
fof(f1948,plain,
~ sQ149_spl,
inference(contradiction_clause,[status(thm)],[f1947]) ).
fof(f1949,plain,
( ~ sQ148_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f799,f138]) ).
fof(f1950,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f799,f126]) ).
fof(f1951,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f799,f124]) ).
fof(f1952,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f799,f122]) ).
fof(f1953,plain,
! [X0] :
( ~ sQ148_spl
| product2(e_4,X0,e_1)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f799,f137]) ).
fof(f1954,plain,
( ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1949,f112]) ).
fof(f1955,plain,
~ sQ148_spl,
inference(contradiction_clause,[status(thm)],[f1954]) ).
fof(f1956,plain,
( ~ sQ147_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f796,f138]) ).
fof(f1957,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f796,f126]) ).
fof(f1958,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f796,f124]) ).
fof(f1959,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f796,f122]) ).
fof(f1960,plain,
! [X0] :
( ~ sQ147_spl
| product2(e_3,X0,e_1)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f796,f137]) ).
fof(f1961,plain,
( ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1956,f108]) ).
fof(f1962,plain,
~ sQ147_spl,
inference(contradiction_clause,[status(thm)],[f1961]) ).
fof(f1963,plain,
( ~ sQ146_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f793,f138]) ).
fof(f1964,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f793,f126]) ).
fof(f1965,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f793,f124]) ).
fof(f1966,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f793,f122]) ).
fof(f1967,plain,
! [X0] :
( ~ sQ146_spl
| product2(e_2,X0,e_1)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f793,f137]) ).
fof(f1968,plain,
( ~ sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1963,f104]) ).
fof(f1969,plain,
~ sQ146_spl,
inference(contradiction_clause,[status(thm)],[f1968]) ).
fof(f1970,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f786,f126]) ).
fof(f1971,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f786,f124]) ).
fof(f1972,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f786,f122]) ).
fof(f1973,plain,
! [X0] :
( ~ sQ144_spl
| product2(e_5,X0,e_1)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f786,f137]) ).
fof(f1974,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f783,f126]) ).
fof(f1975,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f783,f124]) ).
fof(f1976,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f783,f122]) ).
fof(f1977,plain,
! [X0] :
( ~ sQ143_spl
| product2(e_4,X0,e_1)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f783,f137]) ).
fof(f1978,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f780,f126]) ).
fof(f1979,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f780,f124]) ).
fof(f1980,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f780,f122]) ).
fof(f1981,plain,
! [X0] :
( ~ sQ142_spl
| product2(e_3,X0,e_1)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f780,f137]) ).
fof(f1982,plain,
( ~ sQ141_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f777,f140]) ).
fof(f1983,plain,
( ~ sQ141_spl
| product2(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f777,f139]) ).
fof(f1984,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f777,f126]) ).
fof(f1985,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f777,f124]) ).
fof(f1986,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f777,f122]) ).
fof(f1987,plain,
! [X0] :
( ~ sQ141_spl
| product2(e_2,X0,e_1)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f777,f137]) ).
fof(f1988,plain,
( ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1982,f100]) ).
fof(f1989,plain,
~ sQ141_spl,
inference(contradiction_clause,[status(thm)],[f1988]) ).
fof(f1991,plain,
( ~ sQ140_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f774,f141]) ).
fof(f1992,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f774,f126]) ).
fof(f1993,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f774,f124]) ).
fof(f1994,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f774,f122]) ).
fof(f1995,plain,
! [X0] :
( ~ sQ140_spl
| product2(e_1,X0,e_1)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f774,f137]) ).
fof(f1998,plain,
( ~ sQ140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1991,f104]) ).
fof(f1999,plain,
~ sQ140_spl,
inference(contradiction_clause,[status(thm)],[f1998]) ).
fof(f2001,plain,
! [X0,X1] :
( ~ sQ2_spl
| equalish(X0,X1)
| ~ next(e_5,X1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f165,f248]) ).
fof(f2004,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f770,f126]) ).
fof(f2005,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f770,f124]) ).
fof(f2006,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f770,f122]) ).
fof(f2007,plain,
! [X0] :
( ~ sQ139_spl
| product2(e_5,X0,e_1)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f770,f137]) ).
fof(f2008,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f767,f126]) ).
fof(f2009,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f767,f124]) ).
fof(f2010,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f767,f122]) ).
fof(f2011,plain,
! [X0] :
( ~ sQ138_spl
| product2(e_4,X0,e_1)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f767,f137]) ).
fof(f2012,plain,
( ~ sQ143_spl
| ~ sQ109_spl
| product2(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f1868,f783]) ).
fof(f2013,plain,
( ~ sQ143_spl
| ~ sQ107_spl
| product2(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1880,f783]) ).
fof(f2016,plain,
( ~ sQ107_spl
| ~ sQ109_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1867,f634]) ).
fof(f2018,plain,
( ~ sQ107_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2016,f111]) ).
fof(f2019,plain,
( ~ sQ107_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f2018]) ).
fof(f2021,plain,
( ~ sQ137_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f764,f140]) ).
fof(f2022,plain,
( ~ sQ137_spl
| product2(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f764,f139]) ).
fof(f2023,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f764,f126]) ).
fof(f2024,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f764,f124]) ).
fof(f2025,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f764,f122]) ).
fof(f2026,plain,
! [X0] :
( ~ sQ137_spl
| product2(e_3,X0,e_1)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f764,f137]) ).
fof(f2027,plain,
( ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2021,f101]) ).
fof(f2028,plain,
~ sQ137_spl,
inference(contradiction_clause,[status(thm)],[f2027]) ).
fof(f2029,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f761,f126]) ).
fof(f2030,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f761,f124]) ).
fof(f2031,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f761,f122]) ).
fof(f2032,plain,
! [X0] :
( ~ sQ136_spl
| product2(e_2,X0,e_1)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f761,f137]) ).
fof(f2033,plain,
( ~ sQ135_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f758,f141]) ).
fof(f2034,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f758,f126]) ).
fof(f2035,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f758,f124]) ).
fof(f2036,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f758,f122]) ).
fof(f2037,plain,
! [X0] :
( ~ sQ135_spl
| product2(e_1,X0,e_1)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f758,f137]) ).
fof(f2038,plain,
( ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2033,f108]) ).
fof(f2039,plain,
~ sQ135_spl,
inference(contradiction_clause,[status(thm)],[f2038]) ).
fof(f2040,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f754,f126]) ).
fof(f2041,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f754,f124]) ).
fof(f2042,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f754,f122]) ).
fof(f2043,plain,
! [X0] :
( ~ sQ134_spl
| product2(e_5,X0,e_1)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f754,f137]) ).
fof(f2044,plain,
( ~ sQ133_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f751,f140]) ).
fof(f2045,plain,
( ~ sQ133_spl
| product2(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f751,f139]) ).
fof(f2046,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f751,f126]) ).
fof(f2047,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f751,f124]) ).
fof(f2048,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f751,f122]) ).
fof(f2049,plain,
! [X0] :
( ~ sQ133_spl
| product2(e_4,X0,e_1)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f751,f137]) ).
fof(f2050,plain,
( ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2044,f102]) ).
fof(f2051,plain,
~ sQ133_spl,
inference(contradiction_clause,[status(thm)],[f2050]) ).
fof(f2052,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f748,f126]) ).
fof(f2053,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f748,f124]) ).
fof(f2054,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f748,f122]) ).
fof(f2055,plain,
! [X0] :
( ~ sQ132_spl
| product2(e_3,X0,e_1)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f748,f137]) ).
fof(f2056,plain,
( ~ sQ144_spl
| ~ sQ102_spl
| product2(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1922,f786]) ).
fof(f2059,plain,
( ~ sQ134_spl
| ~ sQ144_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1970,f754]) ).
fof(f2060,plain,
( ~ sQ139_spl
| ~ sQ144_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1970,f770]) ).
fof(f2062,plain,
( ~ sQ134_spl
| ~ sQ144_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2059,f113]) ).
fof(f2063,plain,
( ~ sQ134_spl
| ~ sQ144_spl ),
inference(contradiction_clause,[status(thm)],[f2062]) ).
fof(f2064,plain,
( ~ sQ138_spl
| ~ sQ143_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1974,f767]) ).
fof(f2066,plain,
( ~ sQ138_spl
| ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2064,f109]) ).
fof(f2067,plain,
( ~ sQ138_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f2066]) ).
fof(f2068,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f745,f126]) ).
fof(f2069,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f745,f124]) ).
fof(f2070,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f745,f122]) ).
fof(f2071,plain,
! [X0] :
( ~ sQ131_spl
| product2(e_2,X0,e_1)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f745,f137]) ).
fof(f2072,plain,
( ~ sQ130_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f742,f141]) ).
fof(f2073,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f742,f126]) ).
fof(f2074,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f742,f124]) ).
fof(f2075,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f742,f122]) ).
fof(f2076,plain,
! [X0] :
( ~ sQ130_spl
| product2(e_1,X0,e_1)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f742,f137]) ).
fof(f2077,plain,
( ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2072,f112]) ).
fof(f2078,plain,
~ sQ130_spl,
inference(contradiction_clause,[status(thm)],[f2077]) ).
fof(f2079,plain,
( ~ sQ129_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f738,f140]) ).
fof(f2080,plain,
( ~ sQ129_spl
| product2(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f738,f139]) ).
fof(f2081,plain,
! [X0] :
( ~ sQ129_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f738,f126]) ).
fof(f2082,plain,
! [X0] :
( ~ sQ129_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f738,f124]) ).
fof(f2083,plain,
! [X0] :
( ~ sQ129_spl
| equalish(X0,e_5)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f738,f122]) ).
fof(f2084,plain,
! [X0] :
( ~ sQ129_spl
| product2(e_5,X0,e_1)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f738,f137]) ).
fof(f2085,plain,
( ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2079,f103]) ).
fof(f2086,plain,
~ sQ129_spl,
inference(contradiction_clause,[status(thm)],[f2085]) ).
fof(f2087,plain,
! [X0] :
( ~ sQ128_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f735,f126]) ).
fof(f2088,plain,
! [X0] :
( ~ sQ128_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f735,f124]) ).
fof(f2089,plain,
! [X0] :
( ~ sQ128_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f735,f122]) ).
fof(f2090,plain,
! [X0] :
( ~ sQ128_spl
| product2(e_4,X0,e_1)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f735,f137]) ).
fof(f2091,plain,
( ~ sQ102_spl
| ~ sQ127_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f732,f1920]) ).
fof(f2092,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f732,f126]) ).
fof(f2093,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f732,f124]) ).
fof(f2094,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f732,f122]) ).
fof(f2095,plain,
! [X0] :
( ~ sQ127_spl
| product2(e_3,X0,e_1)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f732,f137]) ).
fof(f2096,plain,
( ~ sQ102_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2091,f100]) ).
fof(f2097,plain,
( ~ sQ102_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f2096]) ).
fof(f2098,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f729,f126]) ).
fof(f2099,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f729,f124]) ).
fof(f2100,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f729,f122]) ).
fof(f2101,plain,
! [X0] :
( ~ sQ126_spl
| product2(e_2,X0,e_1)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f729,f137]) ).
fof(f2102,plain,
( ~ sQ132_spl
| ~ sQ142_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1978,f748]) ).
fof(f2104,plain,
( ~ sQ132_spl
| ~ sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2102,f113]) ).
fof(f2105,plain,
( ~ sQ132_spl
| ~ sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f2104]) ).
fof(f2106,plain,
( ~ sQ125_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f726,f141]) ).
fof(f2107,plain,
! [X0] :
( ~ sQ125_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f726,f126]) ).
fof(f2108,plain,
! [X0] :
( ~ sQ125_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f726,f124]) ).
fof(f2109,plain,
! [X0] :
( ~ sQ125_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f726,f122]) ).
fof(f2110,plain,
! [X0] :
( ~ sQ125_spl
| product2(e_1,X0,e_1)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f726,f137]) ).
fof(f2111,plain,
( ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2106,f116]) ).
fof(f2112,plain,
~ sQ125_spl,
inference(contradiction_clause,[status(thm)],[f2111]) ).
fof(f2113,plain,
( ~ sQ174_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f887,f146]) ).
fof(f2114,plain,
! [X0] :
( ~ sQ174_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f887,f134]) ).
fof(f2115,plain,
! [X0] :
( ~ sQ174_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f887,f132]) ).
fof(f2116,plain,
! [X0] :
( ~ sQ174_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f887,f130]) ).
fof(f2117,plain,
( ~ sQ174_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2113,f103]) ).
fof(f2118,plain,
~ sQ174_spl,
inference(contradiction_clause,[status(thm)],[f2117]) ).
fof(f2119,plain,
! [X0] :
( ~ sQ173_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f884,f134]) ).
fof(f2120,plain,
! [X0] :
( ~ sQ173_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f884,f132]) ).
fof(f2121,plain,
! [X0] :
( ~ sQ173_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f884,f130]) ).
fof(f2122,plain,
! [X0] :
( ~ sQ172_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f881,f134]) ).
fof(f2123,plain,
! [X0] :
( ~ sQ172_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f881,f132]) ).
fof(f2124,plain,
! [X0] :
( ~ sQ172_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f881,f130]) ).
fof(f2125,plain,
! [X0] :
( ~ sQ171_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f878,f134]) ).
fof(f2126,plain,
! [X0] :
( ~ sQ171_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f878,f132]) ).
fof(f2127,plain,
! [X0] :
( ~ sQ171_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f878,f130]) ).
fof(f2128,plain,
( ~ sQ170_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f875,f145]) ).
fof(f2129,plain,
! [X0] :
( ~ sQ170_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f875,f134]) ).
fof(f2130,plain,
! [X0] :
( ~ sQ170_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f875,f132]) ).
fof(f2131,plain,
! [X0] :
( ~ sQ170_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f875,f130]) ).
fof(f2132,plain,
( ~ sQ170_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2128,f116]) ).
fof(f2133,plain,
~ sQ170_spl,
inference(contradiction_clause,[status(thm)],[f2132]) ).
fof(f2134,plain,
( ~ sQ102_spl
| ~ sQ35_spl
| product2(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f1317,f618]) ).
fof(f2135,plain,
( ~ sQ169_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f871,f146]) ).
fof(f2136,plain,
! [X0] :
( ~ sQ169_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f871,f134]) ).
fof(f2137,plain,
! [X0] :
( ~ sQ169_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f871,f132]) ).
fof(f2138,plain,
! [X0] :
( ~ sQ169_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f871,f130]) ).
fof(f2139,plain,
( ~ sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2135,f107]) ).
fof(f2140,plain,
~ sQ169_spl,
inference(contradiction_clause,[status(thm)],[f2139]) ).
fof(f2141,plain,
! [X0] :
( ~ sQ168_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f868,f134]) ).
fof(f2142,plain,
! [X0] :
( ~ sQ168_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f868,f132]) ).
fof(f2143,plain,
! [X0] :
( ~ sQ168_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f868,f130]) ).
fof(f2144,plain,
! [X0] :
( ~ sQ167_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f865,f134]) ).
fof(f2145,plain,
! [X0] :
( ~ sQ167_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f865,f132]) ).
fof(f2146,plain,
! [X0] :
( ~ sQ167_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f865,f130]) ).
fof(f2147,plain,
( ~ sQ166_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f862,f145]) ).
fof(f2148,plain,
! [X0] :
( ~ sQ166_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f862,f134]) ).
fof(f2149,plain,
! [X0] :
( ~ sQ166_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f862,f132]) ).
fof(f2150,plain,
! [X0] :
( ~ sQ166_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f862,f130]) ).
fof(f2151,plain,
( ~ sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2147,f117]) ).
fof(f2152,plain,
~ sQ166_spl,
inference(contradiction_clause,[status(thm)],[f2151]) ).
fof(f2153,plain,
! [X0] :
( ~ sQ165_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f859,f134]) ).
fof(f2154,plain,
! [X0] :
( ~ sQ165_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f859,f132]) ).
fof(f2155,plain,
! [X0] :
( ~ sQ165_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f859,f130]) ).
fof(f2156,plain,
( ~ sQ164_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f855,f146]) ).
fof(f2157,plain,
! [X0] :
( ~ sQ164_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f855,f134]) ).
fof(f2158,plain,
! [X0] :
( ~ sQ164_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f855,f132]) ).
fof(f2159,plain,
! [X0] :
( ~ sQ164_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f855,f130]) ).
fof(f2160,plain,
( ~ sQ164_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2156,f111]) ).
fof(f2161,plain,
~ sQ164_spl,
inference(contradiction_clause,[status(thm)],[f2160]) ).
fof(f2162,plain,
( ~ sQ126_spl
| ~ sQ42_spl
| product2(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f998,f729]) ).
fof(f2163,plain,
( ~ sQ131_spl
| ~ sQ65_spl
| product2(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f1495,f745]) ).
fof(f2167,plain,
( ~ sQ162_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f849,f145]) ).
fof(f2168,plain,
! [X0] :
( ~ sQ162_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f849,f134]) ).
fof(f2169,plain,
! [X0] :
( ~ sQ162_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f849,f132]) ).
fof(f2170,plain,
! [X0] :
( ~ sQ162_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f849,f130]) ).
fof(f2171,plain,
( ~ sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2167,f118]) ).
fof(f2172,plain,
~ sQ162_spl,
inference(contradiction_clause,[status(thm)],[f2171]) ).
fof(f2173,plain,
! [X0] :
( ~ sQ161_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f846,f134]) ).
fof(f2174,plain,
! [X0] :
( ~ sQ161_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f846,f132]) ).
fof(f2175,plain,
! [X0] :
( ~ sQ161_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f846,f130]) ).
fof(f2176,plain,
! [X0] :
( ~ sQ160_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f843,f134]) ).
fof(f2177,plain,
! [X0] :
( ~ sQ160_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f843,f132]) ).
fof(f2178,plain,
! [X0] :
( ~ sQ160_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f843,f130]) ).
fof(f2179,plain,
( ~ sQ159_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f839,f146]) ).
fof(f2180,plain,
! [X0] :
( ~ sQ159_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f839,f134]) ).
fof(f2181,plain,
! [X0] :
( ~ sQ159_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f839,f132]) ).
fof(f2182,plain,
! [X0] :
( ~ sQ159_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f839,f130]) ).
fof(f2183,plain,
( ~ sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2179,f115]) ).
fof(f2184,plain,
~ sQ159_spl,
inference(contradiction_clause,[status(thm)],[f2183]) ).
fof(f2185,plain,
( ~ sQ158_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f836,f145]) ).
fof(f2186,plain,
! [X0] :
( ~ sQ158_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f836,f134]) ).
fof(f2187,plain,
! [X0] :
( ~ sQ158_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f836,f132]) ).
fof(f2188,plain,
! [X0] :
( ~ sQ158_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f836,f130]) ).
fof(f2189,plain,
( ~ sQ158_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2185,f119]) ).
fof(f2190,plain,
~ sQ158_spl,
inference(contradiction_clause,[status(thm)],[f2189]) ).
fof(f2191,plain,
! [X0] :
( ~ sQ157_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f833,f134]) ).
fof(f2192,plain,
! [X0] :
( ~ sQ157_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f833,f132]) ).
fof(f2193,plain,
! [X0] :
( ~ sQ157_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f833,f130]) ).
fof(f2194,plain,
! [X0] :
( ~ sQ156_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f830,f134]) ).
fof(f2195,plain,
! [X0] :
( ~ sQ156_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f830,f132]) ).
fof(f2196,plain,
! [X0] :
( ~ sQ156_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f830,f130]) ).
fof(f2197,plain,
! [X0] :
( ~ sQ155_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f827,f134]) ).
fof(f2198,plain,
! [X0] :
( ~ sQ155_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f827,f132]) ).
fof(f2199,plain,
! [X0] :
( ~ sQ155_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f827,f130]) ).
fof(f2200,plain,
( ~ sQ153_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f820,f143]) ).
fof(f2201,plain,
! [X0] :
( ~ sQ153_spl
| equalish(X0,e_5)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f820,f134]) ).
fof(f2202,plain,
! [X0] :
( ~ sQ153_spl
| equalish(X0,e_5)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f820,f132]) ).
fof(f2203,plain,
! [X0] :
( ~ sQ153_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f820,f130]) ).
fof(f2204,plain,
( ~ sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2200,f115]) ).
fof(f2205,plain,
~ sQ153_spl,
inference(contradiction_clause,[status(thm)],[f2204]) ).
fof(f2206,plain,
( ~ sQ152_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f817,f143]) ).
fof(f2207,plain,
! [X0] :
( ~ sQ152_spl
| equalish(X0,e_5)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f817,f134]) ).
fof(f2208,plain,
! [X0] :
( ~ sQ152_spl
| equalish(X0,e_5)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f817,f132]) ).
fof(f2209,plain,
! [X0] :
( ~ sQ152_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f817,f130]) ).
fof(f2210,plain,
( ~ sQ152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2206,f111]) ).
fof(f2211,plain,
~ sQ152_spl,
inference(contradiction_clause,[status(thm)],[f2210]) ).
fof(f2212,plain,
( ~ sQ151_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f814,f143]) ).
fof(f2213,plain,
! [X0] :
( ~ sQ151_spl
| equalish(X0,e_5)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f814,f134]) ).
fof(f2214,plain,
! [X0] :
( ~ sQ151_spl
| equalish(X0,e_5)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f814,f132]) ).
fof(f2215,plain,
! [X0] :
( ~ sQ151_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f814,f130]) ).
fof(f2216,plain,
( ~ sQ151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2212,f107]) ).
fof(f2217,plain,
~ sQ151_spl,
inference(contradiction_clause,[status(thm)],[f2216]) ).
fof(f2218,plain,
( ~ sQ150_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f811,f143]) ).
fof(f2219,plain,
! [X0] :
( ~ sQ150_spl
| equalish(X0,e_5)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f811,f134]) ).
fof(f2220,plain,
! [X0] :
( ~ sQ150_spl
| equalish(X0,e_5)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f811,f132]) ).
fof(f2221,plain,
! [X0] :
( ~ sQ150_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f811,f130]) ).
fof(f2222,plain,
( ~ sQ150_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2218,f103]) ).
fof(f2223,plain,
~ sQ150_spl,
inference(contradiction_clause,[status(thm)],[f2222]) ).
fof(f2224,plain,
! [X0] :
( ~ sQ199_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f972,f134]) ).
fof(f2225,plain,
! [X0] :
( ~ sQ199_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f972,f132]) ).
fof(f2226,plain,
! [X0] :
( ~ sQ199_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f972,f130]) ).
fof(f2227,plain,
( ~ sQ198_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f969,f146]) ).
fof(f2228,plain,
! [X0] :
( ~ sQ198_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f969,f134]) ).
fof(f2229,plain,
! [X0] :
( ~ sQ198_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f969,f132]) ).
fof(f2230,plain,
! [X0] :
( ~ sQ198_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f969,f130]) ).
fof(f2231,plain,
( ~ sQ198_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2227,f102]) ).
fof(f2232,plain,
~ sQ198_spl,
inference(contradiction_clause,[status(thm)],[f2231]) ).
fof(f2233,plain,
! [X0] :
( ~ sQ197_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f966,f134]) ).
fof(f2234,plain,
! [X0] :
( ~ sQ197_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f966,f132]) ).
fof(f2235,plain,
! [X0] :
( ~ sQ197_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f966,f130]) ).
fof(f2236,plain,
! [X0] :
( ~ sQ196_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f963,f134]) ).
fof(f2237,plain,
! [X0] :
( ~ sQ196_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f963,f132]) ).
fof(f2238,plain,
! [X0] :
( ~ sQ196_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f963,f130]) ).
fof(f2239,plain,
( ~ sQ195_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f960,f145]) ).
fof(f2240,plain,
! [X0] :
( ~ sQ195_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f960,f134]) ).
fof(f2241,plain,
! [X0] :
( ~ sQ195_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f960,f132]) ).
fof(f2242,plain,
! [X0] :
( ~ sQ195_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f960,f130]) ).
fof(f2243,plain,
( ~ sQ195_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2239,f112]) ).
fof(f2244,plain,
~ sQ195_spl,
inference(contradiction_clause,[status(thm)],[f2243]) ).
fof(f2245,plain,
( ~ sQ139_spl
| ~ sQ76_spl
| product2(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f1752,f770]) ).
fof(f2246,plain,
( ~ sQ136_spl
| ~ sQ61_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1517,f761]) ).
fof(f2247,plain,
( ~ sQ136_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2246,f102]) ).
fof(f2248,plain,
( ~ sQ136_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f2247]) ).
fof(f2252,plain,
! [X0] :
( ~ sQ194_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f956,f134]) ).
fof(f2253,plain,
! [X0] :
( ~ sQ194_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f956,f132]) ).
fof(f2254,plain,
! [X0] :
( ~ sQ194_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f956,f130]) ).
fof(f2255,plain,
( ~ sQ193_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f953,f146]) ).
fof(f2256,plain,
! [X0] :
( ~ sQ193_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f953,f134]) ).
fof(f2257,plain,
! [X0] :
( ~ sQ193_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f953,f132]) ).
fof(f2258,plain,
! [X0] :
( ~ sQ193_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f953,f130]) ).
fof(f2259,plain,
( ~ sQ193_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2255,f106]) ).
fof(f2260,plain,
~ sQ193_spl,
inference(contradiction_clause,[status(thm)],[f2259]) ).
fof(f2261,plain,
! [X0] :
( ~ sQ192_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f950,f134]) ).
fof(f2262,plain,
! [X0] :
( ~ sQ192_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f950,f132]) ).
fof(f2263,plain,
! [X0] :
( ~ sQ192_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f950,f130]) ).
fof(f2264,plain,
( ~ sQ191_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f947,f145]) ).
fof(f2265,plain,
! [X0] :
( ~ sQ191_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f947,f134]) ).
fof(f2266,plain,
! [X0] :
( ~ sQ191_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f947,f132]) ).
fof(f2267,plain,
! [X0] :
( ~ sQ191_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f947,f130]) ).
fof(f2268,plain,
( ~ sQ191_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2264,f113]) ).
fof(f2269,plain,
~ sQ191_spl,
inference(contradiction_clause,[status(thm)],[f2268]) ).
fof(f2270,plain,
! [X0] :
( ~ sQ190_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f944,f134]) ).
fof(f2271,plain,
! [X0] :
( ~ sQ190_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f944,f132]) ).
fof(f2272,plain,
! [X0] :
( ~ sQ190_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f944,f130]) ).
fof(f2273,plain,
! [X0] :
( ~ sQ189_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f940,f134]) ).
fof(f2274,plain,
! [X0] :
( ~ sQ189_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f940,f132]) ).
fof(f2275,plain,
! [X0] :
( ~ sQ189_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f940,f130]) ).
fof(f2277,plain,
( ~ sQ126_spl
| ~ sQ131_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f2068,f729]) ).
fof(f2278,plain,
( ~ sQ126_spl
| ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2277,f119]) ).
fof(f2279,plain,
( ~ sQ126_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f2278]) ).
fof(f2283,plain,
( ~ sQ188_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f937,f146]) ).
fof(f2284,plain,
! [X0] :
( ~ sQ188_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f937,f134]) ).
fof(f2285,plain,
! [X0] :
( ~ sQ188_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f937,f132]) ).
fof(f2286,plain,
! [X0] :
( ~ sQ188_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f937,f130]) ).
fof(f2287,plain,
( ~ sQ188_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2283,f110]) ).
fof(f2288,plain,
~ sQ188_spl,
inference(contradiction_clause,[status(thm)],[f2287]) ).
fof(f2289,plain,
( ~ sQ187_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f934,f145]) ).
fof(f2290,plain,
! [X0] :
( ~ sQ187_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f934,f134]) ).
fof(f2291,plain,
! [X0] :
( ~ sQ187_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f934,f132]) ).
fof(f2292,plain,
! [X0] :
( ~ sQ187_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f934,f130]) ).
fof(f2293,plain,
( ~ sQ187_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2289,f114]) ).
fof(f2294,plain,
~ sQ187_spl,
inference(contradiction_clause,[status(thm)],[f2293]) ).
fof(f2295,plain,
! [X0] :
( ~ sQ186_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f931,f134]) ).
fof(f2296,plain,
! [X0] :
( ~ sQ186_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f931,f132]) ).
fof(f2297,plain,
! [X0] :
( ~ sQ186_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f931,f130]) ).
fof(f2298,plain,
! [X0] :
( ~ sQ185_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f928,f134]) ).
fof(f2299,plain,
! [X0] :
( ~ sQ185_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f928,f132]) ).
fof(f2300,plain,
! [X0] :
( ~ sQ185_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f928,f130]) ).
fof(f2301,plain,
( ~ sQ184_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f924,f143]) ).
fof(f2302,plain,
! [X0] :
( ~ sQ184_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f924,f134]) ).
fof(f2303,plain,
! [X0] :
( ~ sQ184_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f924,f132]) ).
fof(f2304,plain,
! [X0] :
( ~ sQ184_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f924,f130]) ).
fof(f2305,plain,
( ~ sQ184_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2301,f119]) ).
fof(f2306,plain,
~ sQ184_spl,
inference(contradiction_clause,[status(thm)],[f2305]) ).
fof(f2307,plain,
( ~ sQ182_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f918,f143]) ).
fof(f2308,plain,
! [X0] :
( ~ sQ182_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f918,f134]) ).
fof(f2309,plain,
! [X0] :
( ~ sQ182_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f918,f132]) ).
fof(f2310,plain,
! [X0] :
( ~ sQ182_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f918,f130]) ).
fof(f2311,plain,
( ~ sQ182_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2307,f110]) ).
fof(f2312,plain,
~ sQ182_spl,
inference(contradiction_clause,[status(thm)],[f2311]) ).
fof(f2313,plain,
( ~ sQ128_spl
| ~ sQ143_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1974,f735]) ).
fof(f2314,plain,
( ~ sQ128_spl
| ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2313,f117]) ).
fof(f2315,plain,
( ~ sQ128_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f2314]) ).
fof(f2316,plain,
( ~ sQ163_spl
| ~ sQ173_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2119,f852]) ).
fof(f2317,plain,
( ~ sQ168_spl
| ~ sQ173_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2119,f868]) ).
fof(f2319,plain,
( ~ sQ163_spl
| ~ sQ173_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2316,f108]) ).
fof(f2320,plain,
( ~ sQ163_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f2319]) ).
fof(f2321,plain,
( ~ sQ181_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f915,f143]) ).
fof(f2322,plain,
! [X0] :
( ~ sQ181_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f915,f134]) ).
fof(f2323,plain,
! [X0] :
( ~ sQ181_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f915,f132]) ).
fof(f2324,plain,
! [X0] :
( ~ sQ181_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f915,f130]) ).
fof(f2325,plain,
( ~ sQ181_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2321,f106]) ).
fof(f2326,plain,
~ sQ181_spl,
inference(contradiction_clause,[status(thm)],[f2325]) ).
fof(f2327,plain,
( ~ sQ180_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f912,f143]) ).
fof(f2328,plain,
! [X0] :
( ~ sQ180_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f912,f134]) ).
fof(f2329,plain,
! [X0] :
( ~ sQ180_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f912,f132]) ).
fof(f2330,plain,
! [X0] :
( ~ sQ180_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f912,f130]) ).
fof(f2331,plain,
( ~ sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2327,f102]) ).
fof(f2332,plain,
~ sQ180_spl,
inference(contradiction_clause,[status(thm)],[f2331]) ).
fof(f2333,plain,
( ~ sQ179_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f908,f145]) ).
fof(f2334,plain,
! [X0] :
( ~ sQ179_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f908,f134]) ).
fof(f2335,plain,
! [X0] :
( ~ sQ179_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f908,f132]) ).
fof(f2336,plain,
! [X0] :
( ~ sQ179_spl
| equalish(X0,e_5)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f908,f130]) ).
fof(f2337,plain,
( ~ sQ179_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2333,f115]) ).
fof(f2338,plain,
~ sQ179_spl,
inference(contradiction_clause,[status(thm)],[f2337]) ).
fof(f2339,plain,
( ~ sQ178_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f905,f146]) ).
fof(f2340,plain,
! [X0] :
( ~ sQ178_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f905,f134]) ).
fof(f2341,plain,
! [X0] :
( ~ sQ178_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f905,f132]) ).
fof(f2342,plain,
! [X0] :
( ~ sQ178_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f905,f130]) ).
fof(f2343,plain,
( ~ sQ178_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2339,f119]) ).
fof(f2344,plain,
~ sQ178_spl,
inference(contradiction_clause,[status(thm)],[f2343]) ).
fof(f2345,plain,
! [X0] :
( ~ sQ177_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f902,f134]) ).
fof(f2346,plain,
! [X0] :
( ~ sQ177_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f902,f132]) ).
fof(f2347,plain,
! [X0] :
( ~ sQ177_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f902,f130]) ).
fof(f2348,plain,
! [X0] :
( ~ sQ176_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f899,f134]) ).
fof(f2349,plain,
! [X0] :
( ~ sQ176_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f899,f132]) ).
fof(f2350,plain,
! [X0] :
( ~ sQ176_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f899,f130]) ).
fof(f2351,plain,
( ~ sQ157_spl
| ~ sQ172_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2122,f833]) ).
fof(f2352,plain,
( ~ sQ167_spl
| ~ sQ172_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2122,f865]) ).
fof(f2354,plain,
( ~ sQ157_spl
| ~ sQ172_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2351,f112]) ).
fof(f2355,plain,
( ~ sQ157_spl
| ~ sQ172_spl ),
inference(contradiction_clause,[status(thm)],[f2354]) ).
fof(f2356,plain,
( ~ sQ156_spl
| ~ sQ171_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2125,f830]) ).
fof(f2357,plain,
( ~ sQ161_spl
| ~ sQ171_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2125,f846]) ).
fof(f2359,plain,
( ~ sQ156_spl
| ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2356,f112]) ).
fof(f2360,plain,
( ~ sQ156_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f2359]) ).
fof(f2361,plain,
( ~ sQ167_spl
| ~ sQ172_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2352,f104]) ).
fof(f2362,plain,
( ~ sQ167_spl
| ~ sQ172_spl ),
inference(contradiction_clause,[status(thm)],[f2361]) ).
fof(f2363,plain,
( ~ sQ161_spl
| ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2357,f108]) ).
fof(f2364,plain,
( ~ sQ161_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f2363]) ).
fof(f2367,plain,
! [X0] :
( ~ sQ175_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f896,f134]) ).
fof(f2368,plain,
! [X0] :
( ~ sQ175_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f896,f132]) ).
fof(f2369,plain,
! [X0] :
( ~ sQ175_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f896,f130]) ).
fof(f2370,plain,
! [X0] :
( ~ sQ224_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1083,f134]) ).
fof(f2371,plain,
! [X0] :
( ~ sQ224_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1083,f132]) ).
fof(f2372,plain,
! [X0] :
( ~ sQ224_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1083,f130]) ).
fof(f2373,plain,
! [X0] :
( ~ sQ223_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1080,f134]) ).
fof(f2374,plain,
! [X0] :
( ~ sQ223_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1080,f132]) ).
fof(f2375,plain,
! [X0] :
( ~ sQ223_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1080,f130]) ).
fof(f2376,plain,
( ~ sQ222_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1077,f146]) ).
fof(f2377,plain,
! [X0] :
( ~ sQ222_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1077,f134]) ).
fof(f2378,plain,
! [X0] :
( ~ sQ222_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1077,f132]) ).
fof(f2379,plain,
! [X0] :
( ~ sQ222_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1077,f130]) ).
fof(f2380,plain,
( ~ sQ222_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2376,f101]) ).
fof(f2381,plain,
~ sQ222_spl,
inference(contradiction_clause,[status(thm)],[f2380]) ).
fof(f2382,plain,
! [X0] :
( ~ sQ221_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1074,f134]) ).
fof(f2383,plain,
! [X0] :
( ~ sQ221_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1074,f132]) ).
fof(f2384,plain,
! [X0] :
( ~ sQ221_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1074,f130]) ).
fof(f2385,plain,
( ~ sQ165_spl
| ~ sQ168_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2143,f859]) ).
fof(f2387,plain,
( ~ sQ165_spl
| ~ sQ168_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2385,f102]) ).
fof(f2388,plain,
( ~ sQ165_spl
| ~ sQ168_spl ),
inference(contradiction_clause,[status(thm)],[f2387]) ).
fof(f2389,plain,
( ~ sQ155_spl
| ~ sQ165_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2153,f827]) ).
fof(f2390,plain,
( ~ sQ160_spl
| ~ sQ165_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2153,f843]) ).
fof(f2392,plain,
( ~ sQ155_spl
| ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2389,f113]) ).
fof(f2393,plain,
( ~ sQ155_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f2392]) ).
fof(f2394,plain,
( ~ sQ155_spl
| ~ sQ160_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2176,f827]) ).
fof(f2396,plain,
( ~ sQ155_spl
| ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2394,f114]) ).
fof(f2397,plain,
( ~ sQ155_spl
| ~ sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f2396]) ).
fof(f2398,plain,
( ~ sQ160_spl
| ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2390,f109]) ).
fof(f2399,plain,
( ~ sQ160_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f2398]) ).
fof(f2400,plain,
( ~ sQ185_spl
| ~ sQ160_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f2177,f928]) ).
fof(f2402,plain,
( ~ sQ185_spl
| ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2400,f115]) ).
fof(f2403,plain,
( ~ sQ185_spl
| ~ sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f2402]) ).
fof(f2404,plain,
( ~ sQ220_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1071,f145]) ).
fof(f2405,plain,
! [X0] :
( ~ sQ220_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1071,f134]) ).
fof(f2406,plain,
! [X0] :
( ~ sQ220_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1071,f132]) ).
fof(f2407,plain,
! [X0] :
( ~ sQ220_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1071,f130]) ).
fof(f2408,plain,
( ~ sQ220_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2404,f108]) ).
fof(f2409,plain,
~ sQ220_spl,
inference(contradiction_clause,[status(thm)],[f2408]) ).
fof(f2410,plain,
! [X0] :
( ~ sQ219_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1067,f134]) ).
fof(f2411,plain,
! [X0] :
( ~ sQ219_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1067,f132]) ).
fof(f2412,plain,
! [X0] :
( ~ sQ219_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1067,f130]) ).
fof(f2413,plain,
! [X0] :
( ~ sQ218_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1064,f134]) ).
fof(f2414,plain,
! [X0] :
( ~ sQ218_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1064,f132]) ).
fof(f2415,plain,
! [X0] :
( ~ sQ218_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1064,f130]) ).
fof(f2416,plain,
( ~ sQ217_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1061,f146]) ).
fof(f2417,plain,
! [X0] :
( ~ sQ217_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1061,f134]) ).
fof(f2418,plain,
! [X0] :
( ~ sQ217_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1061,f132]) ).
fof(f2419,plain,
! [X0] :
( ~ sQ217_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1061,f130]) ).
fof(f2420,plain,
( ~ sQ217_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2416,f105]) ).
fof(f2421,plain,
~ sQ217_spl,
inference(contradiction_clause,[status(thm)],[f2420]) ).
fof(f2422,plain,
( ~ sQ216_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1058,f145]) ).
fof(f2423,plain,
! [X0] :
( ~ sQ216_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1058,f134]) ).
fof(f2424,plain,
! [X0] :
( ~ sQ216_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1058,f132]) ).
fof(f2425,plain,
! [X0] :
( ~ sQ216_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1058,f130]) ).
fof(f2426,plain,
( ~ sQ216_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2422,f109]) ).
fof(f2427,plain,
~ sQ216_spl,
inference(contradiction_clause,[status(thm)],[f2426]) ).
fof(f2428,plain,
! [X0] :
( ~ sQ215_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1055,f134]) ).
fof(f2429,plain,
! [X0] :
( ~ sQ215_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1055,f132]) ).
fof(f2430,plain,
! [X0] :
( ~ sQ215_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1055,f130]) ).
fof(f2431,plain,
( ~ sQ189_spl
| ~ sQ199_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2224,f940]) ).
fof(f2432,plain,
( ~ sQ194_spl
| ~ sQ199_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2224,f956]) ).
fof(f2434,plain,
( ~ sQ189_spl
| ~ sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2431,f108]) ).
fof(f2435,plain,
( ~ sQ189_spl
| ~ sQ199_spl ),
inference(contradiction_clause,[status(thm)],[f2434]) ).
fof(f2436,plain,
( ~ sQ51_spl
| ~ sQ40_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1636,f971,f404,f444]) ).
fof(f2437,plain,
( ~ sQ177_spl
| ~ sQ197_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2233,f902]) ).
fof(f2438,plain,
( ~ sQ192_spl
| ~ sQ197_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2233,f950]) ).
fof(f2440,plain,
( ~ sQ177_spl
| ~ sQ197_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2437,f116]) ).
fof(f2441,plain,
( ~ sQ177_spl
| ~ sQ197_spl ),
inference(contradiction_clause,[status(thm)],[f2440]) ).
fof(f2442,plain,
( ~ sQ176_spl
| ~ sQ196_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2236,f899]) ).
fof(f2443,plain,
( ~ sQ186_spl
| ~ sQ196_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2236,f931]) ).
fof(f2445,plain,
( ~ sQ176_spl
| ~ sQ196_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2442,f116]) ).
fof(f2446,plain,
( ~ sQ176_spl
| ~ sQ196_spl ),
inference(contradiction_clause,[status(thm)],[f2445]) ).
fof(f2447,plain,
( ~ sQ194_spl
| ~ sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2432,f104]) ).
fof(f2448,plain,
( ~ sQ194_spl
| ~ sQ199_spl ),
inference(contradiction_clause,[status(thm)],[f2447]) ).
fof(f2449,plain,
( ~ sQ186_spl
| ~ sQ196_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2443,f108]) ).
fof(f2450,plain,
( ~ sQ186_spl
| ~ sQ196_spl ),
inference(contradiction_clause,[status(thm)],[f2449]) ).
fof(f2451,plain,
( ~ sQ192_spl
| ~ sQ197_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2438,f104]) ).
fof(f2452,plain,
( ~ sQ192_spl
| ~ sQ197_spl ),
inference(contradiction_clause,[status(thm)],[f2451]) ).
fof(f2454,plain,
! [X0,X1] :
( ~ sQ2_spl
| equalish(X0,X1)
| ~ next(e_5,X1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f165,f248]) ).
fof(f2457,plain,
( ~ sQ214_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1051,f143]) ).
fof(f2458,plain,
! [X0] :
( ~ sQ214_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1051,f134]) ).
fof(f2459,plain,
! [X0] :
( ~ sQ214_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1051,f132]) ).
fof(f2460,plain,
! [X0] :
( ~ sQ214_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1051,f130]) ).
fof(f2461,plain,
( ~ sQ214_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2457,f118]) ).
fof(f2462,plain,
~ sQ214_spl,
inference(contradiction_clause,[status(thm)],[f2461]) ).
fof(f2463,plain,
( ~ sQ76_spl
| ~ sQ42_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f1817,f1050,f410,f529]) ).
fof(f2464,plain,
( ~ sQ213_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1048,f143]) ).
fof(f2465,plain,
! [X0] :
( ~ sQ213_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1048,f134]) ).
fof(f2466,plain,
! [X0] :
( ~ sQ213_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1048,f132]) ).
fof(f2467,plain,
! [X0] :
( ~ sQ213_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1048,f130]) ).
fof(f2468,plain,
( ~ sQ213_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2464,f114]) ).
fof(f2469,plain,
~ sQ213_spl,
inference(contradiction_clause,[status(thm)],[f2468]) ).
fof(f2470,plain,
( ~ sQ211_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1042,f143]) ).
fof(f2471,plain,
! [X0] :
( ~ sQ211_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1042,f134]) ).
fof(f2472,plain,
! [X0] :
( ~ sQ211_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1042,f132]) ).
fof(f2473,plain,
! [X0] :
( ~ sQ211_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1042,f130]) ).
fof(f2474,plain,
( ~ sQ211_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2470,f105]) ).
fof(f2475,plain,
~ sQ211_spl,
inference(contradiction_clause,[status(thm)],[f2474]) ).
fof(f2476,plain,
( ~ sQ210_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1039,f143]) ).
fof(f2477,plain,
! [X0] :
( ~ sQ210_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1039,f134]) ).
fof(f2478,plain,
! [X0] :
( ~ sQ210_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1039,f132]) ).
fof(f2479,plain,
! [X0] :
( ~ sQ210_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1039,f130]) ).
fof(f2480,plain,
( ~ sQ210_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2476,f101]) ).
fof(f2481,plain,
~ sQ210_spl,
inference(contradiction_clause,[status(thm)],[f2480]) ).
fof(f2482,plain,
( ~ sQ175_spl
| ~ sQ190_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2270,f896]) ).
fof(f2484,plain,
( ~ sQ175_spl
| ~ sQ190_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2482,f117]) ).
fof(f2485,plain,
( ~ sQ175_spl
| ~ sQ190_spl ),
inference(contradiction_clause,[status(thm)],[f2484]) ).
fof(f2486,plain,
( ~ sQ215_spl
| ~ sQ190_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f2271,f1055]) ).
fof(f2488,plain,
( ~ sQ215_spl
| ~ sQ190_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2486,f110]) ).
fof(f2489,plain,
( ~ sQ215_spl
| ~ sQ190_spl ),
inference(contradiction_clause,[status(thm)],[f2488]) ).
fof(f2490,plain,
! [X0] :
( ~ sQ209_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1035,f134]) ).
fof(f2491,plain,
! [X0] :
( ~ sQ209_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1035,f132]) ).
fof(f2492,plain,
! [X0] :
( ~ sQ209_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1035,f130]) ).
fof(f2493,plain,
( ~ sQ208_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1032,f145]) ).
fof(f2494,plain,
! [X0] :
( ~ sQ208_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1032,f134]) ).
fof(f2495,plain,
! [X0] :
( ~ sQ208_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1032,f132]) ).
fof(f2496,plain,
! [X0] :
( ~ sQ208_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1032,f130]) ).
fof(f2497,plain,
( ~ sQ208_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2493,f110]) ).
fof(f2498,plain,
~ sQ208_spl,
inference(contradiction_clause,[status(thm)],[f2497]) ).
fof(f2499,plain,
( ~ sQ207_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1029,f146]) ).
fof(f2500,plain,
! [X0] :
( ~ sQ207_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1029,f134]) ).
fof(f2501,plain,
! [X0] :
( ~ sQ207_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1029,f132]) ).
fof(f2502,plain,
! [X0] :
( ~ sQ207_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1029,f130]) ).
fof(f2503,plain,
( ~ sQ207_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2499,f114]) ).
fof(f2504,plain,
~ sQ207_spl,
inference(contradiction_clause,[status(thm)],[f2503]) ).
fof(f2505,plain,
! [X0] :
( ~ sQ206_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1026,f134]) ).
fof(f2506,plain,
! [X0] :
( ~ sQ206_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1026,f132]) ).
fof(f2507,plain,
! [X0] :
( ~ sQ206_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1026,f130]) ).
fof(f2508,plain,
! [X0] :
( ~ sQ205_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1023,f134]) ).
fof(f2509,plain,
! [X0] :
( ~ sQ205_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1023,f132]) ).
fof(f2510,plain,
! [X0] :
( ~ sQ205_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1023,f130]) ).
fof(f2511,plain,
( ~ sQ204_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1019,f145]) ).
fof(f2512,plain,
! [X0] :
( ~ sQ204_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1019,f134]) ).
fof(f2513,plain,
! [X0] :
( ~ sQ204_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f1019,f132]) ).
fof(f2514,plain,
! [X0] :
( ~ sQ204_spl
| equalish(X0,e_5)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1019,f130]) ).
fof(f2515,plain,
( ~ sQ204_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2511,f111]) ).
fof(f2516,plain,
~ sQ204_spl,
inference(contradiction_clause,[status(thm)],[f2515]) ).
fof(f2518,plain,
( ~ sQ209_spl
| ~ sQ224_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2370,f1035]) ).
fof(f2519,plain,
( ~ sQ219_spl
| ~ sQ224_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2370,f1067]) ).
fof(f2521,plain,
( ~ sQ209_spl
| ~ sQ224_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2518,f112]) ).
fof(f2522,plain,
( ~ sQ209_spl
| ~ sQ224_spl ),
inference(contradiction_clause,[status(thm)],[f2521]) ).
fof(f2523,plain,
( ~ sQ218_spl
| ~ sQ223_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2373,f1064]) ).
fof(f2525,plain,
( ~ sQ218_spl
| ~ sQ223_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2523,f104]) ).
fof(f2526,plain,
( ~ sQ218_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f2525]) ).
fof(f2527,plain,
( ~ sQ206_spl
| ~ sQ221_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2382,f1026]) ).
fof(f2529,plain,
( ~ sQ206_spl
| ~ sQ221_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2527,f112]) ).
fof(f2530,plain,
( ~ sQ206_spl
| ~ sQ221_spl ),
inference(contradiction_clause,[status(thm)],[f2529]) ).
fof(f2531,plain,
! [X0] :
( ~ sQ203_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1016,f134]) ).
fof(f2532,plain,
! [X0] :
( ~ sQ203_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1016,f132]) ).
fof(f2533,plain,
! [X0] :
( ~ sQ203_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1016,f130]) ).
fof(f2534,plain,
( ~ sQ202_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1013,f146]) ).
fof(f2535,plain,
! [X0] :
( ~ sQ202_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1013,f134]) ).
fof(f2536,plain,
! [X0] :
( ~ sQ202_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1013,f132]) ).
fof(f2537,plain,
! [X0] :
( ~ sQ202_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1013,f130]) ).
fof(f2538,plain,
( ~ sQ202_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2534,f118]) ).
fof(f2539,plain,
~ sQ202_spl,
inference(contradiction_clause,[status(thm)],[f2538]) ).
fof(f2540,plain,
! [X0] :
( ~ sQ201_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1010,f134]) ).
fof(f2541,plain,
! [X0] :
( ~ sQ201_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1010,f132]) ).
fof(f2542,plain,
! [X0] :
( ~ sQ201_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1010,f130]) ).
fof(f2543,plain,
! [X0] :
( ~ sQ200_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1007,f134]) ).
fof(f2544,plain,
! [X0] :
( ~ sQ200_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1007,f132]) ).
fof(f2545,plain,
! [X0] :
( ~ sQ200_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1007,f130]) ).
fof(f2546,plain,
! [X0] :
( ~ sQ249_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1168,f134]) ).
fof(f2547,plain,
! [X0] :
( ~ sQ249_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1168,f132]) ).
fof(f2548,plain,
! [X0] :
( ~ sQ249_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1168,f130]) ).
fof(f2549,plain,
! [X0] :
( ~ sQ248_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1165,f134]) ).
fof(f2550,plain,
! [X0] :
( ~ sQ248_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1165,f132]) ).
fof(f2551,plain,
! [X0] :
( ~ sQ248_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1165,f130]) ).
fof(f2552,plain,
( ~ sQ190_spl
| ~ sQ165_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f2154,f944]) ).
fof(f2553,plain,
( ~ sQ190_spl
| ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2552,f115]) ).
fof(f2554,plain,
( ~ sQ190_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f2553]) ).
fof(f2558,plain,
! [X0] :
( ~ sQ247_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1162,f134]) ).
fof(f2559,plain,
! [X0] :
( ~ sQ247_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1162,f132]) ).
fof(f2560,plain,
! [X0] :
( ~ sQ247_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1162,f130]) ).
fof(f2561,plain,
( ~ sQ246_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1159,f146]) ).
fof(f2562,plain,
! [X0] :
( ~ sQ246_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1159,f134]) ).
fof(f2563,plain,
! [X0] :
( ~ sQ246_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1159,f132]) ).
fof(f2564,plain,
! [X0] :
( ~ sQ246_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1159,f130]) ).
fof(f2565,plain,
( ~ sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2561,f100]) ).
fof(f2566,plain,
~ sQ246_spl,
inference(contradiction_clause,[status(thm)],[f2565]) ).
fof(f2567,plain,
( ~ sQ245_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1156,f145]) ).
fof(f2568,plain,
! [X0] :
( ~ sQ245_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1156,f134]) ).
fof(f2569,plain,
! [X0] :
( ~ sQ245_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1156,f132]) ).
fof(f2570,plain,
! [X0] :
( ~ sQ245_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1156,f130]) ).
fof(f2571,plain,
( ~ sQ245_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2567,f104]) ).
fof(f2572,plain,
~ sQ245_spl,
inference(contradiction_clause,[status(thm)],[f2571]) ).
fof(f2573,plain,
( ~ sQ219_spl
| ~ sQ244_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1152,f2411]) ).
fof(f2574,plain,
( ~ sQ244_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1152,f143]) ).
fof(f2575,plain,
! [X0] :
( ~ sQ244_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1152,f134]) ).
fof(f2576,plain,
! [X0] :
( ~ sQ244_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1152,f132]) ).
fof(f2577,plain,
! [X0] :
( ~ sQ244_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1152,f130]) ).
fof(f2578,plain,
( ~ sQ219_spl
| ~ sQ244_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2573,f105]) ).
fof(f2579,plain,
( ~ sQ219_spl
| ~ sQ244_spl ),
inference(contradiction_clause,[status(thm)],[f2578]) ).
fof(f2580,plain,
( ~ sQ243_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1149,f143]) ).
fof(f2581,plain,
! [X0] :
( ~ sQ243_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1149,f134]) ).
fof(f2582,plain,
! [X0] :
( ~ sQ243_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1149,f132]) ).
fof(f2583,plain,
! [X0] :
( ~ sQ243_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1149,f130]) ).
fof(f2584,plain,
( ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2580,f113]) ).
fof(f2585,plain,
~ sQ243_spl,
inference(contradiction_clause,[status(thm)],[f2584]) ).
fof(f2586,plain,
( ~ sQ242_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1146,f143]) ).
fof(f2587,plain,
! [X0] :
( ~ sQ242_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1146,f134]) ).
fof(f2588,plain,
! [X0] :
( ~ sQ242_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1146,f132]) ).
fof(f2589,plain,
! [X0] :
( ~ sQ242_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1146,f130]) ).
fof(f2590,plain,
( ~ sQ242_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2586,f109]) ).
fof(f2591,plain,
~ sQ242_spl,
inference(contradiction_clause,[status(thm)],[f2590]) ).
fof(f2593,plain,
( ~ sQ240_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1140,f143]) ).
fof(f2594,plain,
! [X0] :
( ~ sQ240_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1140,f134]) ).
fof(f2595,plain,
! [X0] :
( ~ sQ240_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1140,f132]) ).
fof(f2596,plain,
! [X0] :
( ~ sQ240_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1140,f130]) ).
fof(f2599,plain,
! [X0] :
( ~ sQ239_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1136,f134]) ).
fof(f2600,plain,
! [X0] :
( ~ sQ239_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1136,f132]) ).
fof(f2601,plain,
! [X0] :
( ~ sQ239_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1136,f130]) ).
fof(f2602,plain,
! [X0] :
( ~ sQ238_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1133,f134]) ).
fof(f2603,plain,
! [X0] :
( ~ sQ238_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1133,f132]) ).
fof(f2604,plain,
! [X0] :
( ~ sQ238_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1133,f130]) ).
fof(f2605,plain,
( ~ sQ237_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1130,f145]) ).
fof(f2606,plain,
! [X0] :
( ~ sQ237_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1130,f134]) ).
fof(f2607,plain,
! [X0] :
( ~ sQ237_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1130,f132]) ).
fof(f2608,plain,
! [X0] :
( ~ sQ237_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1130,f130]) ).
fof(f2609,plain,
( ~ sQ237_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2605,f105]) ).
fof(f2610,plain,
~ sQ237_spl,
inference(contradiction_clause,[status(thm)],[f2609]) ).
fof(f2611,plain,
( ~ sQ236_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1127,f146]) ).
fof(f2612,plain,
! [X0] :
( ~ sQ236_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1127,f134]) ).
fof(f2613,plain,
! [X0] :
( ~ sQ236_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1127,f132]) ).
fof(f2614,plain,
! [X0] :
( ~ sQ236_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1127,f130]) ).
fof(f2615,plain,
( ~ sQ236_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2611,f109]) ).
fof(f2616,plain,
~ sQ236_spl,
inference(contradiction_clause,[status(thm)],[f2615]) ).
fof(f2617,plain,
! [X0] :
( ~ sQ235_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1124,f134]) ).
fof(f2618,plain,
! [X0] :
( ~ sQ235_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1124,f132]) ).
fof(f2619,plain,
! [X0] :
( ~ sQ235_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1124,f130]) ).
fof(f2620,plain,
! [X0] :
( ~ sQ234_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1120,f134]) ).
fof(f2621,plain,
! [X0] :
( ~ sQ234_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1120,f132]) ).
fof(f2622,plain,
! [X0] :
( ~ sQ234_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1120,f130]) ).
fof(f2623,plain,
( ~ sQ233_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1117,f145]) ).
fof(f2624,plain,
! [X0] :
( ~ sQ233_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1117,f134]) ).
fof(f2625,plain,
! [X0] :
( ~ sQ233_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1117,f132]) ).
fof(f2626,plain,
! [X0] :
( ~ sQ233_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1117,f130]) ).
fof(f2627,plain,
( ~ sQ233_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2623,f106]) ).
fof(f2628,plain,
~ sQ233_spl,
inference(contradiction_clause,[status(thm)],[f2627]) ).
fof(f2629,plain,
! [X0] :
( ~ sQ232_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1114,f134]) ).
fof(f2630,plain,
! [X0] :
( ~ sQ232_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1114,f132]) ).
fof(f2631,plain,
! [X0] :
( ~ sQ232_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1114,f130]) ).
fof(f2632,plain,
( ~ sQ231_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1111,f146]) ).
fof(f2633,plain,
! [X0] :
( ~ sQ231_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1111,f134]) ).
fof(f2634,plain,
! [X0] :
( ~ sQ231_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1111,f132]) ).
fof(f2635,plain,
! [X0] :
( ~ sQ231_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1111,f130]) ).
fof(f2636,plain,
( ~ sQ231_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2632,f113]) ).
fof(f2637,plain,
~ sQ231_spl,
inference(contradiction_clause,[status(thm)],[f2636]) ).
fof(f2638,plain,
! [X0] :
( ~ sQ230_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1108,f134]) ).
fof(f2639,plain,
! [X0] :
( ~ sQ230_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1108,f132]) ).
fof(f2640,plain,
! [X0] :
( ~ sQ230_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1108,f130]) ).
fof(f2641,plain,
( ~ sQ229_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1104,f145]) ).
fof(f2642,plain,
! [X0] :
( ~ sQ229_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1104,f134]) ).
fof(f2643,plain,
! [X0] :
( ~ sQ229_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f1104,f132]) ).
fof(f2644,plain,
! [X0] :
( ~ sQ229_spl
| equalish(X0,e_5)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1104,f130]) ).
fof(f2645,plain,
( ~ sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2641,f107]) ).
fof(f2646,plain,
~ sQ229_spl,
inference(contradiction_clause,[status(thm)],[f2645]) ).
fof(f2647,plain,
( ~ sQ139_spl
| ~ sQ75_spl
| product2(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f1757,f770]) ).
fof(f2648,plain,
! [X0] :
( ~ sQ228_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1101,f134]) ).
fof(f2649,plain,
! [X0] :
( ~ sQ228_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1101,f132]) ).
fof(f2650,plain,
! [X0] :
( ~ sQ228_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1101,f130]) ).
fof(f2651,plain,
! [X0] :
( ~ sQ227_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1098,f134]) ).
fof(f2652,plain,
! [X0] :
( ~ sQ227_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1098,f132]) ).
fof(f2653,plain,
! [X0] :
( ~ sQ227_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1098,f130]) ).
fof(f2654,plain,
( ~ sQ226_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1095,f146]) ).
fof(f2655,plain,
! [X0] :
( ~ sQ226_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1095,f134]) ).
fof(f2656,plain,
! [X0] :
( ~ sQ226_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1095,f132]) ).
fof(f2657,plain,
! [X0] :
( ~ sQ226_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1095,f130]) ).
fof(f2658,plain,
( ~ sQ226_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2654,f117]) ).
fof(f2659,plain,
~ sQ226_spl,
inference(contradiction_clause,[status(thm)],[f2658]) ).
fof(f2660,plain,
! [X0] :
( ~ sQ225_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1092,f134]) ).
fof(f2661,plain,
! [X0] :
( ~ sQ225_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1092,f132]) ).
fof(f2662,plain,
! [X0] :
( ~ sQ225_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1092,f130]) ).
fof(f2663,plain,
( ~ sQ274_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1253,f143]) ).
fof(f2664,plain,
! [X0] :
( ~ sQ274_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1253,f134]) ).
fof(f2665,plain,
! [X0] :
( ~ sQ274_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1253,f132]) ).
fof(f2666,plain,
! [X0] :
( ~ sQ274_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1253,f130]) ).
fof(f2667,plain,
( ~ sQ274_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2663,f116]) ).
fof(f2668,plain,
~ sQ274_spl,
inference(contradiction_clause,[status(thm)],[f2667]) ).
fof(f2669,plain,
( ~ sQ273_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1250,f143]) ).
fof(f2670,plain,
! [X0] :
( ~ sQ273_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1250,f134]) ).
fof(f2671,plain,
! [X0] :
( ~ sQ273_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1250,f132]) ).
fof(f2672,plain,
! [X0] :
( ~ sQ273_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1250,f130]) ).
fof(f2673,plain,
( ~ sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2669,f112]) ).
fof(f2674,plain,
~ sQ273_spl,
inference(contradiction_clause,[status(thm)],[f2673]) ).
fof(f2675,plain,
( ~ sQ272_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1247,f143]) ).
fof(f2676,plain,
! [X0] :
( ~ sQ272_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1247,f134]) ).
fof(f2677,plain,
! [X0] :
( ~ sQ272_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1247,f132]) ).
fof(f2678,plain,
! [X0] :
( ~ sQ272_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1247,f130]) ).
fof(f2679,plain,
( ~ sQ272_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2675,f108]) ).
fof(f2680,plain,
~ sQ272_spl,
inference(contradiction_clause,[status(thm)],[f2679]) ).
fof(f2681,plain,
( ~ sQ139_spl
| ~ sQ75_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f2647,f1246,f526,f769]) ).
fof(f2682,plain,
( ~ sQ271_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1244,f143]) ).
fof(f2683,plain,
! [X0] :
( ~ sQ271_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1244,f134]) ).
fof(f2684,plain,
! [X0] :
( ~ sQ271_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1244,f132]) ).
fof(f2685,plain,
! [X0] :
( ~ sQ271_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1244,f130]) ).
fof(f2686,plain,
( ~ sQ271_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2682,f104]) ).
fof(f2687,plain,
~ sQ271_spl,
inference(contradiction_clause,[status(thm)],[f2686]) ).
fof(f2688,plain,
! [X0] :
( ~ sQ269_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1237,f134]) ).
fof(f2689,plain,
! [X0] :
( ~ sQ269_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1237,f132]) ).
fof(f2690,plain,
! [X0] :
( ~ sQ269_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1237,f130]) ).
fof(f2691,plain,
! [X0] :
( ~ sQ268_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1234,f134]) ).
fof(f2692,plain,
! [X0] :
( ~ sQ268_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1234,f132]) ).
fof(f2693,plain,
! [X0] :
( ~ sQ268_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1234,f130]) ).
fof(f2694,plain,
! [X0] :
( ~ sQ267_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1231,f134]) ).
fof(f2695,plain,
! [X0] :
( ~ sQ267_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1231,f132]) ).
fof(f2696,plain,
! [X0] :
( ~ sQ267_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1231,f130]) ).
fof(f2697,plain,
( ~ sQ266_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1228,f145]) ).
fof(f2698,plain,
! [X0] :
( ~ sQ266_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1228,f134]) ).
fof(f2699,plain,
! [X0] :
( ~ sQ266_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1228,f132]) ).
fof(f2700,plain,
! [X0] :
( ~ sQ266_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1228,f130]) ).
fof(f2701,plain,
( ~ sQ266_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2697,f100]) ).
fof(f2702,plain,
~ sQ266_spl,
inference(contradiction_clause,[status(thm)],[f2701]) ).
fof(f2704,plain,
( ~ sQ265_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1225,f146]) ).
fof(f2705,plain,
! [X0] :
( ~ sQ265_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1225,f134]) ).
fof(f2706,plain,
! [X0] :
( ~ sQ265_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1225,f132]) ).
fof(f2707,plain,
! [X0] :
( ~ sQ265_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1225,f130]) ).
fof(f2710,plain,
! [X0] :
( ~ sQ264_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1221,f134]) ).
fof(f2711,plain,
! [X0] :
( ~ sQ264_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1221,f132]) ).
fof(f2712,plain,
! [X0] :
( ~ sQ264_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1221,f130]) ).
fof(f2713,plain,
! [X0] :
( ~ sQ263_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1218,f134]) ).
fof(f2714,plain,
! [X0] :
( ~ sQ263_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1218,f132]) ).
fof(f2715,plain,
! [X0] :
( ~ sQ263_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1218,f130]) ).
fof(f2716,plain,
( ~ sQ262_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1215,f145]) ).
fof(f2717,plain,
! [X0] :
( ~ sQ262_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1215,f134]) ).
fof(f2718,plain,
! [X0] :
( ~ sQ262_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1215,f132]) ).
fof(f2719,plain,
! [X0] :
( ~ sQ262_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1215,f130]) ).
fof(f2720,plain,
( ~ sQ262_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2716,f101]) ).
fof(f2721,plain,
~ sQ262_spl,
inference(contradiction_clause,[status(thm)],[f2720]) ).
fof(f2722,plain,
! [X0] :
( ~ sQ261_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1212,f134]) ).
fof(f2723,plain,
! [X0] :
( ~ sQ261_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1212,f132]) ).
fof(f2724,plain,
! [X0] :
( ~ sQ261_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1212,f130]) ).
fof(f2725,plain,
( ~ sQ260_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1209,f146]) ).
fof(f2726,plain,
! [X0] :
( ~ sQ260_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1209,f134]) ).
fof(f2727,plain,
! [X0] :
( ~ sQ260_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1209,f132]) ).
fof(f2728,plain,
! [X0] :
( ~ sQ260_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1209,f130]) ).
fof(f2729,plain,
( ~ sQ260_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2725,f108]) ).
fof(f2730,plain,
~ sQ260_spl,
inference(contradiction_clause,[status(thm)],[f2729]) ).
fof(f2731,plain,
! [X0] :
( ~ sQ259_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1205,f134]) ).
fof(f2732,plain,
! [X0] :
( ~ sQ259_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1205,f132]) ).
fof(f2733,plain,
! [X0] :
( ~ sQ259_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1205,f130]) ).
fof(f2734,plain,
( ~ sQ258_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1202,f145]) ).
fof(f2735,plain,
! [X0] :
( ~ sQ258_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1202,f134]) ).
fof(f2736,plain,
! [X0] :
( ~ sQ258_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1202,f132]) ).
fof(f2737,plain,
! [X0] :
( ~ sQ258_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1202,f130]) ).
fof(f2738,plain,
( ~ sQ258_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2734,f102]) ).
fof(f2739,plain,
~ sQ258_spl,
inference(contradiction_clause,[status(thm)],[f2738]) ).
fof(f2740,plain,
! [X0] :
( ~ sQ257_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1199,f134]) ).
fof(f2741,plain,
! [X0] :
( ~ sQ257_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1199,f132]) ).
fof(f2742,plain,
! [X0] :
( ~ sQ257_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1199,f130]) ).
fof(f2743,plain,
! [X0] :
( ~ sQ256_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1196,f134]) ).
fof(f2744,plain,
! [X0] :
( ~ sQ256_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1196,f132]) ).
fof(f2745,plain,
! [X0] :
( ~ sQ256_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1196,f130]) ).
fof(f2746,plain,
( ~ sQ255_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1193,f146]) ).
fof(f2747,plain,
! [X0] :
( ~ sQ255_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1193,f134]) ).
fof(f2748,plain,
! [X0] :
( ~ sQ255_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1193,f132]) ).
fof(f2749,plain,
! [X0] :
( ~ sQ255_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1193,f130]) ).
fof(f2750,plain,
( ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2746,f112]) ).
fof(f2751,plain,
~ sQ255_spl,
inference(contradiction_clause,[status(thm)],[f2750]) ).
fof(f2752,plain,
( ~ sQ254_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1189,f145]) ).
fof(f2753,plain,
! [X0] :
( ~ sQ254_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1189,f134]) ).
fof(f2754,plain,
! [X0] :
( ~ sQ254_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f1189,f132]) ).
fof(f2755,plain,
! [X0] :
( ~ sQ254_spl
| equalish(X0,e_5)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1189,f130]) ).
fof(f2756,plain,
( ~ sQ254_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2752,f103]) ).
fof(f2757,plain,
~ sQ254_spl,
inference(contradiction_clause,[status(thm)],[f2756]) ).
fof(f2758,plain,
! [X0] :
( ~ sQ253_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1186,f134]) ).
fof(f2759,plain,
! [X0] :
( ~ sQ253_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1186,f132]) ).
fof(f2760,plain,
! [X0] :
( ~ sQ253_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1186,f130]) ).
fof(f2761,plain,
! [X0] :
( ~ sQ252_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1183,f134]) ).
fof(f2762,plain,
! [X0] :
( ~ sQ252_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1183,f132]) ).
fof(f2763,plain,
! [X0] :
( ~ sQ252_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1183,f130]) ).
fof(f2764,plain,
! [X0] :
( ~ sQ251_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1180,f134]) ).
fof(f2765,plain,
! [X0] :
( ~ sQ251_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1180,f132]) ).
fof(f2766,plain,
! [X0] :
( ~ sQ251_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1180,f130]) ).
fof(f2767,plain,
( ~ sQ250_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1177,f146]) ).
fof(f2768,plain,
! [X0] :
( ~ sQ250_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1177,f134]) ).
fof(f2769,plain,
! [X0] :
( ~ sQ250_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1177,f132]) ).
fof(f2770,plain,
! [X0] :
( ~ sQ250_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1177,f130]) ).
fof(f2771,plain,
( ~ sQ250_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2767,f116]) ).
fof(f2772,plain,
~ sQ250_spl,
inference(contradiction_clause,[status(thm)],[f2771]) ).
fof(f2773,plain,
( ~ sQ249_spl
| ~ sQ199_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f2225,f1168]) ).
fof(f2774,plain,
( ~ sQ249_spl
| ~ sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2773,f106]) ).
fof(f2775,plain,
( ~ sQ249_spl
| ~ sQ199_spl ),
inference(contradiction_clause,[status(thm)],[f2774]) ).
fof(f2777,plain,
( ~ sQ3_spl
| equalish(e_0,e_3) ),
inference(resolution,[status(thm)],[f1377,f87]) ).
fof(f2778,plain,
( ~ sQ251_spl
| ~ sQ176_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2349,f1180]) ).
fof(f2779,plain,
( ~ sQ201_spl
| ~ sQ176_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f2349,f1010]) ).
fof(f2780,plain,
( ~ sQ251_spl
| ~ sQ176_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2778,f102]) ).
fof(f2781,plain,
( ~ sQ251_spl
| ~ sQ176_spl ),
inference(contradiction_clause,[status(thm)],[f2780]) ).
fof(f2782,plain,
( ~ sQ201_spl
| ~ sQ176_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2779,f110]) ).
fof(f2783,plain,
( ~ sQ201_spl
| ~ sQ176_spl ),
inference(contradiction_clause,[status(thm)],[f2782]) ).
fof(f2784,plain,
( ~ sQ200_spl
| ~ sQ205_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f2508,f1007]) ).
fof(f2786,plain,
( ~ sQ200_spl
| ~ sQ205_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2784,f119]) ).
fof(f2787,plain,
( ~ sQ200_spl
| ~ sQ205_spl ),
inference(contradiction_clause,[status(thm)],[f2786]) ).
fof(f2788,plain,
( ~ sQ230_spl
| ~ sQ205_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2509,f1108]) ).
fof(f2790,plain,
( ~ sQ230_spl
| ~ sQ205_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2788,f105]) ).
fof(f2791,plain,
( ~ sQ230_spl
| ~ sQ205_spl ),
inference(contradiction_clause,[status(thm)],[f2790]) ).
fof(f2794,plain,
( ~ sQ253_spl
| ~ sQ203_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2532,f1186]) ).
fof(f2795,plain,
( ~ sQ228_spl
| ~ sQ203_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2532,f1101]) ).
fof(f2797,plain,
( ~ sQ253_spl
| ~ sQ203_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2794,f101]) ).
fof(f2798,plain,
( ~ sQ253_spl
| ~ sQ203_spl ),
inference(contradiction_clause,[status(thm)],[f2797]) ).
fof(f2799,plain,
( ~ sQ238_spl
| ~ sQ248_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2549,f1133]) ).
fof(f2801,plain,
( ~ sQ228_spl
| ~ sQ248_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2549,f1101]) ).
fof(f2802,plain,
( ~ sQ238_spl
| ~ sQ248_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2799,f108]) ).
fof(f2803,plain,
( ~ sQ238_spl
| ~ sQ248_spl ),
inference(contradiction_clause,[status(thm)],[f2802]) ).
fof(f2804,plain,
( ~ sQ235_spl
| ~ sQ160_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2177,f1124]) ).
fof(f2805,plain,
( ~ sQ235_spl
| ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2804,f107]) ).
fof(f2806,plain,
( ~ sQ235_spl
| ~ sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f2805]) ).
fof(f2807,plain,
( ~ sQ267_spl
| ~ sQ167_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f2145,f1231]) ).
fof(f2808,plain,
( ~ sQ267_spl
| ~ sQ167_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2807,f103]) ).
fof(f2809,plain,
( ~ sQ267_spl
| ~ sQ167_spl ),
inference(contradiction_clause,[status(thm)],[f2808]) ).
fof(f2810,plain,
( ~ sQ257_spl
| ~ sQ157_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f2192,f1199]) ).
fof(f2811,plain,
( ~ sQ232_spl
| ~ sQ157_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2192,f1114]) ).
fof(f2812,plain,
( ~ sQ257_spl
| ~ sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2810,f103]) ).
fof(f2813,plain,
( ~ sQ257_spl
| ~ sQ157_spl ),
inference(contradiction_clause,[status(thm)],[f2812]) ).
fof(f2814,plain,
( ~ sQ232_spl
| ~ sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2811,f107]) ).
fof(f2815,plain,
( ~ sQ232_spl
| ~ sQ157_spl ),
inference(contradiction_clause,[status(thm)],[f2814]) ).
fof(f2816,plain,
( ~ sQ261_spl
| ~ sQ186_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2296,f1212]) ).
fof(f2817,plain,
( ~ sQ261_spl
| ~ sQ186_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2816,f102]) ).
fof(f2818,plain,
( ~ sQ261_spl
| ~ sQ186_spl ),
inference(contradiction_clause,[status(thm)],[f2817]) ).
fof(f2819,plain,
( ~ sQ143_spl
| ~ sQ107_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2013,f1211,f633,f782]) ).
fof(f2821,plain,
( ~ sQ227_spl
| ~ sQ247_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2558,f1098]) ).
fof(f2822,plain,
( ~ sQ227_spl
| ~ sQ247_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2821,f116]) ).
fof(f2823,plain,
( ~ sQ227_spl
| ~ sQ247_spl ),
inference(contradiction_clause,[status(thm)],[f2822]) ).
fof(f2826,plain,
( ~ sQ268_spl
| ~ sQ218_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2414,f1234]) ).
fof(f2827,plain,
( ~ sQ268_spl
| ~ sQ218_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2826,f101]) ).
fof(f2828,plain,
( ~ sQ268_spl
| ~ sQ218_spl ),
inference(contradiction_clause,[status(thm)],[f2827]) ).
fof(f2830,plain,
( ~ sQ234_spl
| ~ sQ239_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2599,f1120]) ).
fof(f2831,plain,
( ~ sQ234_spl
| ~ sQ239_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2830,f114]) ).
fof(f2832,plain,
( ~ sQ234_spl
| ~ sQ239_spl ),
inference(contradiction_clause,[status(thm)],[f2831]) ).
fof(f2835,plain,
( ~ sQ225_spl
| ~ sQ228_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2650,f1092]) ).
fof(f2837,plain,
( ~ sQ225_spl
| ~ sQ228_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2835,f102]) ).
fof(f2838,plain,
( ~ sQ225_spl
| ~ sQ228_spl ),
inference(contradiction_clause,[status(thm)],[f2837]) ).
fof(f2842,plain,
( ~ sQ264_spl
| ~ sQ269_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2688,f1221]) ).
fof(f2843,plain,
( ~ sQ259_spl
| ~ sQ269_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2688,f1205]) ).
fof(f2845,plain,
( ~ sQ264_spl
| ~ sQ269_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2842,f109]) ).
fof(f2846,plain,
( ~ sQ264_spl
| ~ sQ269_spl ),
inference(contradiction_clause,[status(thm)],[f2845]) ).
fof(f2852,plain,
( ~ sQ256_spl
| ~ sQ259_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2733,f1196]) ).
fof(f2854,plain,
( ~ sQ256_spl
| ~ sQ259_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2852,f107]) ).
fof(f2855,plain,
( ~ sQ256_spl
| ~ sQ259_spl ),
inference(contradiction_clause,[status(thm)],[f2854]) ).
fof(f2859,plain,
( ~ sQ60_spl
| ~ sQ107_spl
| product2(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f634,f1527]) ).
fof(f2861,plain,
( ~ sQ122_spl
| ~ sQ107_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f634,f1776]) ).
fof(f2867,plain,
( ~ sQ60_spl
| ~ sQ107_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2859,f1164,f633,f473]) ).
fof(f2868,plain,
( ~ sQ122_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2861,f112]) ).
fof(f2869,plain,
( ~ sQ122_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f2868]) ).
fof(f2870,plain,
( ~ sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2593,f100]) ).
fof(f2871,plain,
~ sQ240_spl,
inference(contradiction_clause,[status(thm)],[f2870]) ).
fof(f2872,plain,
( ~ sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2704,f104]) ).
fof(f2873,plain,
~ sQ265_spl,
inference(contradiction_clause,[status(thm)],[f2872]) ).
fof(f2874,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f165,f1377]) ).
fof(f2875,plain,
( ~ sQ2_spl
| equalish(e_2,e_0) ),
inference(resolution,[status(thm)],[f165,f152]) ).
fof(f2876,plain,
! [X0,X1] :
( ~ sQ2_spl
| equalish(X0,X1)
| ~ next(e_5,X1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f165,f248]) ).
fof(f2877,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_5,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f165,f241]) ).
fof(f2878,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_2)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f165,f85]) ).
fof(f2879,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2874,f105]) ).
fof(f2880,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2879]) ).
fof(f2885,plain,
( ~ sQ256_spl
| ~ sQ206_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2506,f1196]) ).
fof(f2886,plain,
( ~ sQ256_spl
| ~ sQ206_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2885,f101]) ).
fof(f2887,plain,
( ~ sQ256_spl
| ~ sQ206_spl ),
inference(contradiction_clause,[status(thm)],[f2886]) ).
fof(f2889,plain,
( ~ sQ122_spl
| ~ sQ40_spl
| product2(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f405,f1779]) ).
fof(f2897,plain,
( ~ sQ131_spl
| ~ sQ31_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f376,f2069]) ).
fof(f2899,plain,
( ~ sQ67_spl
| ~ sQ31_spl
| product2(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f376,f1474]) ).
fof(f2905,plain,
( ~ sQ131_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2897,f116]) ).
fof(f2906,plain,
( ~ sQ131_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2905]) ).
fof(f2907,plain,
( ~ sQ263_spl
| ~ sQ67_spl
| ~ sQ31_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2899,f2714]) ).
fof(f2908,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ31_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2899,f134]) ).
fof(f2909,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ31_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2899,f132]) ).
fof(f2910,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ31_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2899,f130]) ).
fof(f2911,plain,
( ~ sQ263_spl
| ~ sQ67_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2907,f116]) ).
fof(f2912,plain,
( ~ sQ263_spl
| ~ sQ67_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2911]) ).
fof(f2914,plain,
( ~ sQ143_spl
| ~ sQ96_spl
| product2(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f594,f1977]) ).
fof(f2915,plain,
( ~ sQ71_spl
| ~ sQ96_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f594,f1449]) ).
fof(f2922,plain,
( ~ sQ71_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2915,f110]) ).
fof(f2923,plain,
( ~ sQ71_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f2922]) ).
fof(f2924,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ84_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1691,f134]) ).
fof(f2925,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ84_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1691,f132]) ).
fof(f2926,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ84_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1691,f130]) ).
fof(f2928,plain,
( ~ sQ105_spl
| ~ sQ93_spl
| product2(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f584,f1892]) ).
fof(f2937,plain,
( ~ sQ84_spl
| ~ sQ38_spl
| product2(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f398,f1695]) ).
fof(f2944,plain,
( ~ sQ84_spl
| ~ sQ38_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f2937,f816,f397,f554]) ).
fof(f2947,plain,
( ~ sQ96_spl
| ~ sQ60_spl
| product2(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f474,f1612]) ).
fof(f2953,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ35_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f2134,f134]) ).
fof(f2954,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ35_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f2134,f132]) ).
fof(f2955,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ35_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2134,f130]) ).
fof(f2956,plain,
! [X0] :
( ~ sQ126_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2162,f134]) ).
fof(f2957,plain,
! [X0] :
( ~ sQ126_spl
| ~ sQ42_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f2162,f132]) ).
fof(f2958,plain,
! [X0] :
( ~ sQ126_spl
| ~ sQ42_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2162,f130]) ).
fof(f2959,plain,
( ~ sQ225_spl
| ~ sQ235_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2617,f1092]) ).
fof(f2960,plain,
( ~ sQ225_spl
| ~ sQ235_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2959,f118]) ).
fof(f2961,plain,
( ~ sQ225_spl
| ~ sQ235_spl ),
inference(contradiction_clause,[status(thm)],[f2960]) ).
fof(f2973,plain,
( ~ sQ225_spl
| ~ sQ175_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f2368,f1092]) ).
fof(f2974,plain,
( ~ sQ225_spl
| ~ sQ175_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2973,f106]) ).
fof(f2975,plain,
( ~ sQ225_spl
| ~ sQ175_spl ),
inference(contradiction_clause,[status(thm)],[f2974]) ).
fof(f2976,plain,
( ~ sQ228_spl
| ~ sQ248_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2801,f116]) ).
fof(f2977,plain,
( ~ sQ228_spl
| ~ sQ248_spl ),
inference(contradiction_clause,[status(thm)],[f2976]) ).
fof(f2978,plain,
( ~ sQ143_spl
| ~ sQ96_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f2914,f1022,f593,f782]) ).
fof(f2979,plain,
( sQ249_spl
| ~ sQ102_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1169,f2134]) ).
fof(f2980,plain,
( sQ249_spl
| ~ sQ102_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f2979]) ).
fof(f2981,plain,
( ~ sQ252_spl
| ~ sQ267_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2694,f1183]) ).
fof(f2982,plain,
( ~ sQ252_spl
| ~ sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2981,f117]) ).
fof(f2983,plain,
( ~ sQ252_spl
| ~ sQ267_spl ),
inference(contradiction_clause,[status(thm)],[f2982]) ).
fof(f2984,plain,
( ~ sQ252_spl
| ~ sQ257_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f2740,f1183]) ).
fof(f2985,plain,
( ~ sQ252_spl
| ~ sQ257_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2984,f119]) ).
fof(f2986,plain,
( ~ sQ252_spl
| ~ sQ257_spl ),
inference(contradiction_clause,[status(thm)],[f2985]) ).
fof(f2987,plain,
( ~ sQ96_spl
| ~ sQ46_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f709,f594]) ).
fof(f2988,plain,
( ~ sQ96_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2987,f111]) ).
fof(f2989,plain,
( ~ sQ96_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f2988]) ).
fof(f2997,plain,
( ~ sQ72_spl
| ~ sQ105_spl
| product2(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f628,f1447]) ).
fof(f3005,plain,
( ~ sQ51_spl
| ~ sQ84_spl
| product2(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f555,f1586]) ).
fof(f3012,plain,
( ~ sQ51_spl
| ~ sQ84_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f3005,f1063,f554,f444]) ).
fof(f3013,plain,
( ~ sQ139_spl
| ~ sQ76_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2245,f1230,f529,f769]) ).
fof(f3014,plain,
( ~ sQ80_spl
| ~ sQ72_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f1857,f1047,f511,f542]) ).
fof(f3015,plain,
( ~ sQ113_spl
| ~ sQ80_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f1858,f1161,f542,f652]) ).
fof(f3016,plain,
( ~ sQ143_spl
| ~ sQ109_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2012,f1179,f639,f782]) ).
fof(f3017,plain,
( ~ sQ131_spl
| ~ sQ65_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f2163,f1249,f489,f744]) ).
fof(f3020,plain,
( ~ sQ156_spl
| ~ sQ161_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f846,f2194]) ).
fof(f3025,plain,
( ~ sQ156_spl
| ~ sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3020,f110]) ).
fof(f3026,plain,
( ~ sQ156_spl
| ~ sQ161_spl ),
inference(contradiction_clause,[status(thm)],[f3025]) ).
fof(f3088,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f509,f709]) ).
fof(f3093,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3088,f115]) ).
fof(f3094,plain,
( ~ sQ46_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f3093]) ).
fof(f3095,plain,
( ~ sQ185_spl
| ~ sQ50_spl
| ~ sQ47_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1637,f2300]) ).
fof(f3096,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1637,f134]) ).
fof(f3097,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ47_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1637,f132]) ).
fof(f3098,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ47_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1637,f130]) ).
fof(f3099,plain,
( ~ sQ185_spl
| ~ sQ50_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3095,f116]) ).
fof(f3100,plain,
( ~ sQ185_spl
| ~ sQ50_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f3099]) ).
fof(f3101,plain,
( ~ sQ80_spl
| ~ sQ71_spl
| product2(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1451,f543]) ).
fof(f3102,plain,
( ~ sQ80_spl
| ~ sQ71_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f3101,f1063,f508,f542]) ).
fof(f3118,plain,
( ~ sQ65_spl
| ~ sQ122_spl
| product2(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1779,f490]) ).
fof(f3119,plain,
( ~ sQ65_spl
| ~ sQ122_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f3118,f930,f681,f489]) ).
fof(f3120,plain,
( ~ sQ67_spl
| ~ sQ31_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f2899,f851,f375,f495]) ).
fof(f3130,plain,
( ~ sQ192_spl
| ~ sQ267_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1231,f2262]) ).
fof(f3134,plain,
( ~ sQ192_spl
| ~ sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3130,f102]) ).
fof(f3135,plain,
( ~ sQ192_spl
| ~ sQ267_spl ),
inference(contradiction_clause,[status(thm)],[f3134]) ).
fof(f3136,plain,
( ~ sQ168_spl
| ~ sQ173_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2317,f104]) ).
fof(f3137,plain,
( ~ sQ168_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f3136]) ).
fof(f3138,plain,
( ~ sQ122_spl
| ~ sQ40_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f2889,f845,f404,f681]) ).
fof(f3166,plain,
( ~ sQ131_spl
| ~ sQ48_spl
| product2(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f430,f2071]) ).
fof(f3171,plain,
( ~ sQ131_spl
| ~ sQ48_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f3166,f858,f429,f744]) ).
fof(f3183,plain,
( ~ sQ109_spl
| ~ sQ50_spl
| product2(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f1590,f640]) ).
fof(f3184,plain,
( ~ sQ109_spl
| ~ sQ50_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f3183,f1164,f441,f639]) ).
fof(f3194,plain,
( ~ sQ200_spl
| ~ sQ225_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1092,f2544]) ).
fof(f3198,plain,
( ~ sQ200_spl
| ~ sQ225_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3194,f105]) ).
fof(f3199,plain,
( ~ sQ200_spl
| ~ sQ225_spl ),
inference(contradiction_clause,[status(thm)],[f3198]) ).
fof(f3205,plain,
( ~ sQ218_spl
| ~ sQ168_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f868,f2414]) ).
fof(f3209,plain,
( ~ sQ218_spl
| ~ sQ168_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3205,f118]) ).
fof(f3210,plain,
( ~ sQ218_spl
| ~ sQ168_spl ),
inference(contradiction_clause,[status(thm)],[f3209]) ).
fof(f3211,plain,
( ~ sQ259_spl
| ~ sQ269_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2843,f113]) ).
fof(f3212,plain,
( ~ sQ259_spl
| ~ sQ269_spl ),
inference(contradiction_clause,[status(thm)],[f3211]) ).
fof(f3213,plain,
( sQ264_spl
| ~ sQ126_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1222,f2162]) ).
fof(f3214,plain,
( sQ264_spl
| ~ sQ126_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f3213]) ).
fof(f3215,plain,
( ~ sQ136_spl
| ~ sQ90_spl
| product2(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f1650,f761]) ).
fof(f3216,plain,
( ~ sQ36_spl
| ~ sQ90_spl
| product2(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f1650,f392]) ).
fof(f3217,plain,
( ~ sQ136_spl
| ~ sQ90_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f3215,f1246,f574,f760]) ).
fof(f3218,plain,
( ~ sQ136_spl
| ~ sQ36_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1298,f761]) ).
fof(f3220,plain,
( ~ sQ136_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3218,f103]) ).
fof(f3221,plain,
( ~ sQ136_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f3220]) ).
fof(f3225,plain,
( ~ sQ71_spl
| ~ sQ30_spl
| product2(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f373,f1451]) ).
fof(f3226,plain,
( ~ sQ80_spl
| ~ sQ30_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f373,f1716]) ).
fof(f3227,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f373,f126]) ).
fof(f3228,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f373,f124]) ).
fof(f3229,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f373,f122]) ).
fof(f3230,plain,
! [X0] :
( ~ sQ30_spl
| product2(e_1,X0,e_5)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f373,f137]) ).
fof(f3231,plain,
( ~ sQ71_spl
| ~ sQ30_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f3225,f867,f372,f508]) ).
fof(f3232,plain,
( ~ sQ80_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3226,f118]) ).
fof(f3233,plain,
( ~ sQ80_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f3232]) ).
fof(f3245,plain,
( ~ sQ51_spl
| ~ sQ40_spl
| product2(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f1272,f445]) ).
fof(f3263,plain,
( ~ sQ261_spl
| ~ sQ256_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1196,f2722]) ).
fof(f3267,plain,
( ~ sQ261_spl
| ~ sQ256_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3263,f114]) ).
fof(f3268,plain,
( ~ sQ261_spl
| ~ sQ256_spl ),
inference(contradiction_clause,[status(thm)],[f3267]) ).
fof(f3276,plain,
( ~ sQ247_spl
| ~ sQ232_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1114,f2558]) ).
fof(f3280,plain,
( ~ sQ247_spl
| ~ sQ232_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3276,f112]) ).
fof(f3281,plain,
( ~ sQ247_spl
| ~ sQ232_spl ),
inference(contradiction_clause,[status(thm)],[f3280]) ).
fof(f3300,plain,
( ~ sQ65_spl
| ~ sQ31_spl
| product2(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f376,f1495]) ).
fof(f3305,plain,
( ~ sQ65_spl
| ~ sQ31_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f3300,f883,f375,f489]) ).
fof(f3314,plain,
( ~ sQ143_spl
| ~ sQ96_spl
| product2(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f594,f1977]) ).
fof(f3319,plain,
( ~ sQ80_spl
| ~ sQ74_spl
| product2(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f1436,f543]) ).
fof(f3328,plain,
( ~ sQ40_spl
| ~ sQ123_spl
| product2(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1767,f405]) ).
fof(f3329,plain,
( ~ sQ40_spl
| ~ sQ123_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f3328,f829,f684,f404]) ).
fof(f3331,plain,
( ~ sQ143_spl
| ~ sQ93_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1626,f783]) ).
fof(f3333,plain,
( ~ sQ143_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3331,f101]) ).
fof(f3334,plain,
( ~ sQ143_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f3333]) ).
fof(f3335,plain,
( ~ sQ80_spl
| ~ sQ74_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f3319,f1015,f517,f542]) ).
fof(f3338,plain,
( ~ sQ51_spl
| ~ sQ126_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f729,f1584]) ).
fof(f3343,plain,
( ~ sQ51_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3338,f102]) ).
fof(f3344,plain,
( ~ sQ51_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f3343]) ).
fof(f3348,plain,
( ~ sQ31_spl
| ~ sQ67_spl
| product2(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1474,f376]) ).
fof(f3365,plain,
( ~ sQ47_spl
| ~ sQ139_spl
| product2(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f2007,f427]) ).
fof(f3366,plain,
( ~ sQ47_spl
| ~ sQ139_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f3365,f810,f769,f426]) ).
fof(f3367,plain,
( ~ sQ132_spl
| ~ sQ61_spl
| product2(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f1519,f748]) ).
fof(f3368,plain,
! [X0] :
( ~ sQ132_spl
| ~ sQ61_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3367,f134]) ).
fof(f3369,plain,
! [X0] :
( ~ sQ132_spl
| ~ sQ61_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3367,f132]) ).
fof(f3370,plain,
! [X0] :
( ~ sQ132_spl
| ~ sQ61_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f3367,f130]) ).
fof(f3378,plain,
( ~ sQ185_spl
| ~ sQ190_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f944,f2298]) ).
fof(f3382,plain,
( ~ sQ185_spl
| ~ sQ190_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3378,f105]) ).
fof(f3383,plain,
( ~ sQ185_spl
| ~ sQ190_spl ),
inference(contradiction_clause,[status(thm)],[f3382]) ).
fof(f3389,plain,
( ~ sQ43_spl
| ~ sQ76_spl
| product2(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f530,f993]) ).
fof(f3394,plain,
( ~ sQ80_spl
| ~ sQ90_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f575,f1715]) ).
fof(f3395,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f575,f126]) ).
fof(f3396,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f575,f124]) ).
fof(f3397,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f575,f122]) ).
fof(f3398,plain,
! [X0] :
( ~ sQ90_spl
| product2(e_1,X0,e_3)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f575,f137]) ).
fof(f3399,plain,
( ~ sQ80_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3394,f106]) ).
fof(f3400,plain,
( ~ sQ80_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f3399]) ).
fof(f3401,plain,
( ~ sQ76_spl
| ~ sQ139_spl
| product2(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f770,f1752]) ).
fof(f3406,plain,
( ~ sQ76_spl
| ~ sQ40_spl
| product2(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f1272,f530]) ).
fof(f3407,plain,
( ~ sQ76_spl
| ~ sQ40_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f3406,f1082,f404,f529]) ).
fof(f3418,plain,
( ~ sQ80_spl
| ~ sQ71_spl
| product2(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1451,f543]) ).
fof(f3439,plain,
( ~ sQ131_spl
| ~ sQ48_spl
| product2(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f430,f2071]) ).
fof(f3448,plain,
( ~ sQ267_spl
| ~ sQ257_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1199,f2694]) ).
fof(f3452,plain,
( ~ sQ267_spl
| ~ sQ257_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3448,f113]) ).
fof(f3453,plain,
( ~ sQ267_spl
| ~ sQ257_spl ),
inference(contradiction_clause,[status(thm)],[f3452]) ).
fof(f3458,plain,
( ~ sQ40_spl
| ~ sQ123_spl
| product2(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1767,f405]) ).
fof(f3467,plain,
( ~ sQ67_spl
| ~ sQ131_spl
| product2(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f745,f1474]) ).
fof(f3472,plain,
( ~ sQ48_spl
| ~ sQ50_spl
| product2(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f442,f701]) ).
fof(f3477,plain,
( ~ sQ48_spl
| ~ sQ50_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f3472,f923,f441,f429]) ).
fof(f3478,plain,
( ~ sQ109_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1908,f112]) ).
fof(f3479,plain,
( ~ sQ109_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f3478]) ).
fof(f3480,plain,
( ~ sQ228_spl
| ~ sQ203_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2795,f105]) ).
fof(f3481,plain,
( ~ sQ228_spl
| ~ sQ203_spl ),
inference(contradiction_clause,[status(thm)],[f3480]) ).
fof(f3482,plain,
( ~ sQ264_spl
| ~ sQ67_spl
| ~ sQ131_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f3467,f2712]) ).
fof(f3483,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ131_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3467,f134]) ).
fof(f3484,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ131_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f3467,f132]) ).
fof(f3485,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ131_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f3467,f130]) ).
fof(f3486,plain,
( ~ sQ264_spl
| ~ sQ67_spl
| ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3482,f115]) ).
fof(f3487,plain,
( ~ sQ264_spl
| ~ sQ67_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f3486]) ).
fof(f3511,plain,
( ~ sQ67_spl
| ~ sQ142_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f780,f1472]) ).
fof(f3516,plain,
( ~ sQ67_spl
| ~ sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3511,f102]) ).
fof(f3517,plain,
( ~ sQ67_spl
| ~ sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f3516]) ).
fof(f3538,plain,
( ~ sQ142_spl
| ~ sQ46_spl
| product2(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f424,f1981]) ).
fof(f3543,plain,
( ~ sQ142_spl
| ~ sQ46_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f3538,f842,f423,f779]) ).
fof(f3544,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ123_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f3458,f134]) ).
fof(f3545,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ123_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f3458,f132]) ).
fof(f3546,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ123_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f3458,f130]) ).
fof(f3551,plain,
( ~ sQ80_spl
| ~ sQ74_spl
| product2(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f1436,f543]) ).
fof(f3559,plain,
( ~ sQ99_spl
| ~ sQ74_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f518,f1592]) ).
fof(f3564,plain,
( ~ sQ99_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3559,f114]) ).
fof(f3565,plain,
( ~ sQ99_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f3564]) ).
fof(f3569,plain,
( ~ sQ93_spl
| ~ sQ107_spl
| product2(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1880,f584]) ).
fof(f3570,plain,
( ~ sQ93_spl
| ~ sQ107_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f3569,f1041,f633,f583]) ).
fof(f3574,plain,
! [X0] :
( ~ sQ131_spl
| ~ sQ48_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f3439,f134]) ).
fof(f3575,plain,
! [X0] :
( ~ sQ131_spl
| ~ sQ48_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f3439,f132]) ).
fof(f3576,plain,
! [X0] :
( ~ sQ131_spl
| ~ sQ48_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f3439,f130]) ).
fof(f3590,plain,
( ~ sQ67_spl
| ~ sQ131_spl
| ~ sQ238_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1133,f3484]) ).
fof(f3594,plain,
( ~ sQ67_spl
| ~ sQ131_spl
| ~ sQ238_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3590,f104]) ).
fof(f3595,plain,
( ~ sQ67_spl
| ~ sQ131_spl
| ~ sQ238_spl ),
inference(contradiction_clause,[status(thm)],[f3594]) ).
fof(f3596,plain,
( ~ sQ144_spl
| ~ sQ102_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2056,f1211,f617,f785]) ).
fof(f3597,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ71_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3418,f134]) ).
fof(f3598,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ71_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3418,f132]) ).
fof(f3599,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ71_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f3418,f130]) ).
fof(f3620,plain,
( ~ sQ67_spl
| ~ sQ131_spl
| ~ sQ163_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f852,f3484]) ).
fof(f3621,plain,
! [X0] :
( ~ sQ163_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f852,f134]) ).
fof(f3622,plain,
! [X0] :
( ~ sQ163_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f852,f132]) ).
fof(f3623,plain,
! [X0] :
( ~ sQ163_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f852,f130]) ).
fof(f3624,plain,
( ~ sQ67_spl
| ~ sQ131_spl
| ~ sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3620,f116]) ).
fof(f3625,plain,
( ~ sQ67_spl
| ~ sQ131_spl
| ~ sQ163_spl ),
inference(contradiction_clause,[status(thm)],[f3624]) ).
fof(f3641,plain,
( ~ sQ51_spl
| ~ sQ109_spl
| product2(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f640,f1586]) ).
fof(f3646,plain,
( ~ sQ51_spl
| ~ sQ109_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f3641,f1148,f639,f444]) ).
fof(f3658,plain,
( ~ sQ93_spl
| ~ sQ109_spl
| product2(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f1868,f584]) ).
fof(f3662,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ60_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2947,f134]) ).
fof(f3663,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ60_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2947,f132]) ).
fof(f3664,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ60_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f2947,f130]) ).
fof(f3667,plain,
( ~ sQ93_spl
| ~ sQ136_spl
| product2(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f761,f1628]) ).
fof(f3672,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3551,f134]) ).
fof(f3673,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f3551,f132]) ).
fof(f3674,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ74_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f3551,f130]) ).
fof(f3687,plain,
( ~ sQ109_spl
| ~ sQ43_spl
| product2(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f414,f1868]) ).
fof(f3688,plain,
( ~ sQ93_spl
| ~ sQ43_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f414,f1626]) ).
fof(f3689,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f414,f126]) ).
fof(f3690,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f414,f124]) ).
fof(f3691,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f414,f122]) ).
fof(f3692,plain,
! [X0] :
( ~ sQ43_spl
| product2(e_4,X0,e_5)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f414,f137]) ).
fof(f3693,plain,
( ~ sQ109_spl
| ~ sQ43_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f3687,f813,f413,f639]) ).
fof(f3694,plain,
( ~ sQ93_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3688,f118]) ).
fof(f3695,plain,
( ~ sQ93_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f3694]) ).
fof(f3696,plain,
( ~ sQ139_spl
| ~ sQ144_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2060,f109]) ).
fof(f3697,plain,
( ~ sQ139_spl
| ~ sQ144_spl ),
inference(contradiction_clause,[status(thm)],[f3696]) ).
fof(f3698,plain,
( ~ sQ93_spl
| ~ sQ109_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f3658,f1009,f639,f583]) ).
fof(f3699,plain,
( ~ sQ93_spl
| ~ sQ136_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f3667,f1198,f760,f583]) ).
fof(f3710,plain,
( ~ sQ122_spl
| ~ sQ40_spl
| product2(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f405,f1779]) ).
fof(f3741,plain,
( ~ sQ52_spl
| ~ sQ67_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f496,f1579]) ).
fof(f3746,plain,
( ~ sQ52_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3741,f107]) ).
fof(f3747,plain,
( ~ sQ52_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f3746]) ).
fof(f3749,plain,
( ~ sQ109_spl
| ~ sQ52_spl
| product2(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f1582,f640]) ).
fof(f3750,plain,
( ~ sQ109_spl
| ~ sQ52_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f3749,f1132,f447,f639]) ).
fof(f3805,plain,
( ~ sQ32_spl
| ~ sQ60_spl
| product2(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f1527,f379]) ).
fof(f3816,plain,
( ~ sQ99_spl
| ~ sQ127_spl
| product2(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f2095,f603]) ).
fof(f3817,plain,
( ~ sQ99_spl
| ~ sQ127_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f3816,f1038,f731,f602]) ).
fof(f3818,plain,
( ~ sQ52_spl
| ~ sQ36_spl
| product2(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f1300,f448]) ).
fof(f3821,plain,
( ~ sQ175_spl
| ~ sQ185_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2298,f896]) ).
fof(f3823,plain,
( ~ sQ175_spl
| ~ sQ185_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3821,f118]) ).
fof(f3824,plain,
( ~ sQ175_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f3823]) ).
fof(f3825,plain,
( ~ sQ206_spl
| ~ sQ201_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f2540,f1026]) ).
fof(f3827,plain,
( ~ sQ206_spl
| ~ sQ201_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3825,f115]) ).
fof(f3828,plain,
( ~ sQ206_spl
| ~ sQ201_spl ),
inference(contradiction_clause,[status(thm)],[f3827]) ).
fof(f3841,plain,
( ~ sQ251_spl
| ~ sQ201_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2541,f1180]) ).
fof(f3843,plain,
( ~ sQ251_spl
| ~ sQ201_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3841,f101]) ).
fof(f3844,plain,
( ~ sQ251_spl
| ~ sQ201_spl ),
inference(contradiction_clause,[status(thm)],[f3843]) ).
fof(f3845,plain,
( ~ sQ80_spl
| ~ sQ74_spl
| ~ sQ201_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2542,f3551]) ).
fof(f3847,plain,
( ~ sQ80_spl
| ~ sQ74_spl
| ~ sQ201_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3845,f113]) ).
fof(f3848,plain,
( ~ sQ80_spl
| ~ sQ74_spl
| ~ sQ201_spl ),
inference(contradiction_clause,[status(thm)],[f3847]) ).
fof(f3849,plain,
( ~ sQ32_spl
| ~ sQ60_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f3805,f883,f473,f378]) ).
fof(f3898,plain,
( ~ sQ177_spl
| ~ sQ192_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2261,f902]) ).
fof(f3899,plain,
( ~ sQ177_spl
| ~ sQ192_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3898,f117]) ).
fof(f3900,plain,
( ~ sQ177_spl
| ~ sQ192_spl ),
inference(contradiction_clause,[status(thm)],[f3899]) ).
fof(f3901,plain,
( ~ sQ238_spl
| ~ sQ263_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1218,f2603]) ).
fof(f3905,plain,
( ~ sQ238_spl
| ~ sQ263_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3901,f100]) ).
fof(f3906,plain,
( ~ sQ238_spl
| ~ sQ263_spl ),
inference(contradiction_clause,[status(thm)],[f3905]) ).
fof(f3907,plain,
( ~ sQ50_spl
| ~ sQ47_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1637,f939,f426,f441]) ).
fof(f3920,plain,
( ~ sQ93_spl
| ~ sQ136_spl
| product2(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f761,f1628]) ).
fof(f3941,plain,
( ~ sQ71_spl
| ~ sQ144_spl
| product2(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f1973,f509]) ).
fof(f3990,plain,
( ~ sQ136_spl
| ~ sQ47_spl
| product2(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f427,f2032]) ).
fof(f3995,plain,
( ~ sQ109_spl
| ~ sQ50_spl
| product2(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f1590,f640]) ).
fof(f3996,plain,
( ~ sQ50_spl
| ~ sQ47_spl
| product2(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f707,f442]) ).
fof(f4001,plain,
( ~ sQ40_spl
| ~ sQ126_spl
| product2(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f729,f1272]) ).
fof(f4002,plain,
( ~ sQ136_spl
| ~ sQ126_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f729,f2029]) ).
fof(f4003,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f729,f126]) ).
fof(f4004,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f729,f124]) ).
fof(f4005,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f729,f122]) ).
fof(f4006,plain,
! [X0] :
( ~ sQ126_spl
| product2(e_2,X0,e_1)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f729,f137]) ).
fof(f4007,plain,
( ~ sQ40_spl
| ~ sQ126_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f4001,f1252,f728,f404]) ).
fof(f4008,plain,
( ~ sQ136_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4002,f118]) ).
fof(f4009,plain,
( ~ sQ136_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f4008]) ).
fof(f4010,plain,
( ~ sQ99_spl
| ~ sQ60_spl
| product2(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f474,f1594]) ).
fof(f4015,plain,
( ~ sQ99_spl
| ~ sQ60_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f4010,f901,f473,f602]) ).
fof(f4019,plain,
( ~ sQ40_spl
| ~ sQ123_spl
| product2(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1767,f405]) ).
fof(f4024,plain,
( ~ sQ80_spl
| ~ sQ38_spl
| product2(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f398,f1718]) ).
fof(f4029,plain,
( ~ sQ132_spl
| ~ sQ123_spl
| product2(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f685,f2055]) ).
fof(f4040,plain,
( ~ sQ31_spl
| ~ sQ67_spl
| product2(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1474,f376]) ).
fof(f4045,plain,
( ~ sQ257_spl
| ~ sQ232_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1114,f2741]) ).
fof(f4046,plain,
! [X0] :
( ~ sQ232_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1114,f134]) ).
fof(f4047,plain,
! [X0] :
( ~ sQ232_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1114,f132]) ).
fof(f4048,plain,
! [X0] :
( ~ sQ232_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1114,f130]) ).
fof(f4049,plain,
( ~ sQ257_spl
| ~ sQ232_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4045,f104]) ).
fof(f4050,plain,
( ~ sQ257_spl
| ~ sQ232_spl ),
inference(contradiction_clause,[status(thm)],[f4049]) ).
fof(f4054,plain,
( ~ sQ144_spl
| ~ sQ102_spl
| product2(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1922,f786]) ).
fof(f4059,plain,
( ~ sQ110_spl
| ~ sQ67_spl
| product2(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f496,f1856]) ).
fof(f4064,plain,
( ~ sQ38_spl
| ~ sQ102_spl
| product2(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f618,f1287]) ).
fof(f4072,plain,
! [X0] :
( ~ sQ189_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f940,f134]) ).
fof(f4073,plain,
! [X0] :
( ~ sQ189_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f940,f132]) ).
fof(f4074,plain,
! [X0] :
( ~ sQ189_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f940,f130]) ).
fof(f4078,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ102_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f4064,f134]) ).
fof(f4079,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ102_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f4064,f132]) ).
fof(f4080,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ102_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f4064,f130]) ).
fof(f4081,plain,
( ~ sQ99_spl
| ~ sQ128_spl
| product2(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f2090,f603]) ).
fof(f4082,plain,
( ~ sQ99_spl
| ~ sQ128_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f4081,f1022,f734,f602]) ).
fof(f4090,plain,
( ~ sQ99_spl
| ~ sQ110_spl
| product2(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f644,f1594]) ).
fof(f4096,plain,
( ~ sQ132_spl
| ~ sQ64_spl
| product2(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f1499,f748]) ).
fof(f4101,plain,
( ~ sQ31_spl
| ~ sQ128_spl
| product2(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f735,f1349]) ).
fof(f4110,plain,
( ~ sQ40_spl
| ~ sQ76_spl
| product2(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f530,f1272]) ).
fof(f4119,plain,
( ~ sQ64_spl
| ~ sQ76_spl
| product2(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1752,f486]) ).
fof(f4127,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ greater(X0,X1)
| ~ cycle(e_2,X1)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f1280,f69]) ).
fof(f4128,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ greater(X0,X1)
| ~ cycle(e_3,X1)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f1303,f74]) ).
fof(f4129,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ greater(X0,X1)
| ~ cycle(e_3,X1)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f1303,f70]) ).
fof(f4139,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ greater(X0,X1)
| ~ cycle(e_4,X1)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f1335,f78]) ).
fof(f4140,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ greater(X0,X1)
| ~ cycle(e_4,X1)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f1335,f75]) ).
fof(f4141,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ greater(X0,X1)
| ~ cycle(e_4,X1)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f1335,f71]) ).
fof(f4142,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ greater(X0,X1)
| ~ cycle(e_5,X1)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f1386,f81]) ).
fof(f4143,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ greater(X0,X1)
| ~ cycle(e_5,X1)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f1386,f79]) ).
fof(f4144,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ greater(X0,X1)
| ~ cycle(e_5,X1)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f1386,f76]) ).
fof(f4145,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ greater(X0,X1)
| ~ cycle(e_5,X1)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f1386,f72]) ).
fof(f4181,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ15_spl
| ~ greater(e_0,X0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f4128,f223]) ).
fof(f4182,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ10_spl
| ~ greater(e_0,X0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f4139,f207]) ).
fof(f4183,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ10_spl
| ~ greater(e_0,X0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f4140,f223]) ).
fof(f4184,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ5_spl
| ~ greater(e_0,X0)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f4142,f191]) ).
fof(f4185,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ5_spl
| ~ greater(e_0,X0)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f4143,f207]) ).
fof(f4186,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ5_spl
| ~ greater(e_0,X0)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f4144,f223]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ2_spl
| ~ sQ4_spl
| sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| ~ sQ13_spl
| ~ sQ14_spl
| sQ15_spl
| ~ sQ18_spl
| ~ sQ19_spl
| sQ20_spl
| ~ sQ23_spl
| ~ sQ24_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ28_spl
| sQ29_spl
| ~ sQ30_spl
| sQ31_spl
| ~ sQ32_spl
| ~ sQ33_spl
| ~ sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| sQ38_spl
| ~ sQ39_spl
| sQ40_spl
| ~ sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| sQ47_spl
| ~ sQ48_spl
| ~ sQ49_spl
| sQ50_spl
| ~ sQ51_spl
| ~ sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| ~ sQ56_spl
| ~ sQ57_spl
| sQ58_spl
| ~ sQ59_spl
| ~ sQ60_spl
| ~ sQ61_spl
| ~ sQ62_spl
| ~ sQ63_spl
| sQ64_spl
| ~ sQ65_spl
| ~ sQ66_spl
| sQ67_spl
| ~ sQ68_spl
| ~ sQ70_spl
| sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| ~ sQ74_spl
| ~ sQ75_spl
| sQ76_spl
| ~ sQ77_spl
| ~ sQ79_spl
| sQ80_spl
| ~ sQ82_spl
| ~ sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| ~ sQ86_spl
| sQ87_spl
| ~ sQ88_spl
| ~ sQ89_spl
| ~ sQ90_spl
| ~ sQ91_spl
| ~ sQ92_spl
| sQ93_spl
| ~ sQ95_spl
| ~ sQ96_spl
| ~ sQ97_spl
| ~ sQ98_spl
| sQ99_spl
| ~ sQ100_spl
| ~ sQ101_spl
| sQ102_spl
| ~ sQ103_spl
| ~ sQ104_spl
| ~ sQ105_spl
| ~ sQ106_spl
| ~ sQ107_spl
| ~ sQ108_spl
| sQ109_spl
| sQ110_spl
| ~ sQ111_spl
| ~ sQ112_spl
| ~ sQ113_spl
| ~ sQ115_spl
| sQ116_spl
| ~ sQ117_spl
| ~ sQ118_spl
| ~ sQ119_spl
| ~ sQ120_spl
| ~ sQ121_spl
| ~ sQ122_spl
| sQ123_spl
| ~ sQ124_spl
| ~ sQ125_spl
| ~ sQ126_spl
| ~ sQ127_spl
| sQ128_spl
| ~ sQ129_spl
| ~ sQ130_spl
| ~ sQ131_spl
| sQ132_spl
| ~ sQ133_spl
| ~ sQ134_spl
| ~ sQ135_spl
| sQ136_spl
| ~ sQ137_spl
| ~ sQ139_spl
| ~ sQ140_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ143_spl
| sQ144_spl
| sQ145_spl
| ~ sQ146_spl
| ~ sQ147_spl
| ~ sQ148_spl
| ~ sQ149_spl
| ~ sQ150_spl
| ~ sQ151_spl
| ~ sQ152_spl
| ~ sQ153_spl
| sQ154_spl
| ~ sQ155_spl
| sQ156_spl
| ~ sQ157_spl
| ~ sQ158_spl
| ~ sQ159_spl
| ~ sQ160_spl
| ~ sQ161_spl
| ~ sQ162_spl
| sQ163_spl
| ~ sQ164_spl
| sQ165_spl
| ~ sQ166_spl
| ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ169_spl
| ~ sQ170_spl
| ~ sQ171_spl
| sQ172_spl
| ~ sQ173_spl
| ~ sQ174_spl
| sQ175_spl
| ~ sQ176_spl
| ~ sQ177_spl
| ~ sQ178_spl
| ~ sQ179_spl
| ~ sQ180_spl
| ~ sQ181_spl
| ~ sQ182_spl
| sQ183_spl
| ~ sQ184_spl
| ~ sQ185_spl
| ~ sQ186_spl
| ~ sQ187_spl
| ~ sQ188_spl
| sQ189_spl
| ~ sQ190_spl
| ~ sQ191_spl
| sQ192_spl
| ~ sQ193_spl
| ~ sQ195_spl
| sQ196_spl
| ~ sQ197_spl
| ~ sQ198_spl
| ~ sQ199_spl
| ~ sQ200_spl
| sQ201_spl
| ~ sQ202_spl
| ~ sQ203_spl
| ~ sQ204_spl
| sQ205_spl
| ~ sQ206_spl
| ~ sQ207_spl
| ~ sQ208_spl
| ~ sQ209_spl
| ~ sQ210_spl
| ~ sQ211_spl
| sQ212_spl
| ~ sQ213_spl
| ~ sQ214_spl
| ~ sQ216_spl
| ~ sQ217_spl
| sQ218_spl
| ~ sQ220_spl
| ~ sQ222_spl
| ~ sQ223_spl
| sQ224_spl
| ~ sQ225_spl
| ~ sQ226_spl
| sQ227_spl
| ~ sQ228_spl
| ~ sQ229_spl
| ~ sQ230_spl
| ~ sQ231_spl
| ~ sQ232_spl
| ~ sQ233_spl
| sQ234_spl
| sQ235_spl
| ~ sQ236_spl
| ~ sQ237_spl
| ~ sQ238_spl
| ~ sQ239_spl
| ~ sQ240_spl
| sQ241_spl
| ~ sQ242_spl
| ~ sQ243_spl
| ~ sQ244_spl
| ~ sQ245_spl
| ~ sQ246_spl
| ~ sQ247_spl
| sQ248_spl
| ~ sQ250_spl
| ~ sQ251_spl
| ~ sQ252_spl
| sQ253_spl
| ~ sQ254_spl
| ~ sQ255_spl
| ~ sQ256_spl
| sQ257_spl
| ~ sQ258_spl
| ~ sQ259_spl
| ~ sQ260_spl
| sQ261_spl
| ~ sQ262_spl
| ~ sQ263_spl
| ~ sQ264_spl
| ~ sQ265_spl
| ~ sQ266_spl
| ~ sQ267_spl
| ~ sQ268_spl
| sQ269_spl
| sQ270_spl
| ~ sQ271_spl
| ~ sQ272_spl
| ~ sQ273_spl
| ~ sQ274_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP124-8.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n009.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 20 19:59:12 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 5.87/1.56 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 5.87/1.56 % SZS output start Saturation for theBenchmark
% See solution above
% 8.43/1.61 % Elapsed time: 1.157650 seconds
% 8.43/1.61 % CPU time: 8.672096 seconds
% 8.43/1.61 % Total memory used: 68.481 MB
% 8.43/1.61 % Net memory used: 64.112 MB
%------------------------------------------------------------------------------