%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP124-3.005 : 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 : n006.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 12:35:46 PM UTC 2026
% Result : Satisfiable 44.61s 11.21s
% Output : Saturation 4.78s
% 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] :
( product(X,Y,e_5)
| product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(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)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
! [X1,Y1,Z1,X2,Y2,Z2] :
( equalish(X1,X2)
| ~ product(Z2,X2,Y2)
| ~ product(Z2,X1,Y1)
| ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
! [X1,Y1,Z1,X2,Y2,Z2] :
( equalish(Y1,Y2)
| ~ product(Z2,X2,Y2)
| ~ product(Z2,X1,Y1)
| ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,plain,
next(e_0,e_1),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f61,plain,
next(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
next(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f63,plain,
next(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f64,plain,
next(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f65,plain,
greater(e_1,e_0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f66,plain,
greater(e_2,e_0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f67,plain,
greater(e_3,e_0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f68,plain,
greater(e_4,e_0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f69,plain,
greater(e_5,e_0),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f70,plain,
greater(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f71,plain,
greater(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f72,plain,
greater(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f73,plain,
greater(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f74,plain,
greater(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f75,plain,
greater(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f76,plain,
greater(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f77,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f78,plain,
greater(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f79,plain,
greater(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f80,plain,
! [Y,Z] :
( equalish(Y,Z)
| ! [X] :
( ~ cycle(X,Z)
| ~ cycle(X,Y) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f81,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ cycle(X0,X2)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f82,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(f83,plain,
cycle(e_5,e_0),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f84,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(f85,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)],[f84]) ).
fof(f86,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(f87,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)],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ product(X0,e_1,X1)
| ~ cycle(X0,e_0) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f89,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(f90,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)],[f89]) ).
fof(f91,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f92,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f93,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f94,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f95,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f96,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f97,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f98,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f99,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f100,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f101,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f102,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f103,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f104,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f105,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f106,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f107,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f108,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f109,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f110,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f111,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f112,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f113,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f114,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f115,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f116,plain,
! [X0,X1] :
( product(X0,X1,e_5)
| product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f117,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f119,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f55]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f121,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f56]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f123,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f124,plain,
! [X1,X2] :
( equalish(X1,X2)
| ! [Y2,Z2] :
( ~ product(Z2,X2,Y2)
| ! [Y1] :
( ~ product(Z2,X1,Y1)
| ! [Z1] :
( ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ) ) ) ),
inference(miniscoping,[status(thm)],[f58]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5] :
( equalish(X0,X3)
| ~ product(X5,X3,X4)
| ~ product(X5,X0,X1)
| ~ product(X3,X4,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f126,plain,
! [Y1,Y2] :
( equalish(Y1,Y2)
| ! [X2,Z2] :
( ~ product(Z2,X2,Y2)
| ! [X1] :
( ~ product(Z2,X1,Y1)
| ! [Z1] :
( ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ) ) ) ),
inference(miniscoping,[status(thm)],[f59]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5] :
( equalish(X1,X4)
| ~ product(X5,X3,X4)
| ~ product(X5,X0,X1)
| ~ product(X3,X4,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f128,plain,
! [X0] :
( equalish(X0,X0)
| ~ product(X0,X0,X0)
| ~ product(X0,X0,X0) ),
inference(factoring,[status(thm)],[f125]) ).
fof(f129,plain,
! [X0] :
( equalish(X0,X0)
| ~ product(X0,X0,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f128]) ).
fof(f130,plain,
! [X0] : equalish(X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f129,f123]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X3,X0,X1)
| ~ product(X3,X3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f123,f127]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X0,X2,X3)
| ~ product(X2,X3,X1)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f123,f127]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X2)
| ~ product(X3,X2,X2)
| ~ product(X3,X0,X1)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f123,f127]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X0,X1)
| ~ product(X3,X3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f123,f125]) ).
fof(f142,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X2)
| ~ product(X0,X2,X3)
| ~ product(X2,X3,X1)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f123,f125]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X2)
| ~ product(X3,X2,X2)
| ~ product(X3,X0,X1)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f123,f125]) ).
fof(f145,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f118,f123]) ).
fof(f146,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f120,f123]) ).
fof(f148,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f134,f123]) ).
fof(f160,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f122,f123]) ).
fof(f167,plain,
! [X0,X1,X2] :
( equalish(X0,X2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f140,f123]) ).
fof(f183,plain,
! [X0] :
( equalish(X0,e_0)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f81,f83]) ).
fof(f184,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)],[f82,f95]) ).
fof(f185,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)],[f82,f94]) ).
fof(f186,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)],[f82,f93]) ).
fof(f187,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)],[f82,f92]) ).
fof(f188,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)],[f82,f91]) ).
fof(f189,definition,
( sQ0_spl
<=> cycle(e_5,e_0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f192,definition,
( sQ1_spl
<=> cycle(e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ1_spl
| cycle(e_5,e_1) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f194,plain,
( sQ1_spl
| ~ cycle(e_5,e_1) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,definition,
( sQ2_spl
<=> cycle(e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( ~ sQ2_spl
| cycle(e_5,e_2) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f197,plain,
( sQ2_spl
| ~ cycle(e_5,e_2) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,definition,
( sQ3_spl
<=> cycle(e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( ~ sQ3_spl
| cycle(e_5,e_3) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f200,plain,
( sQ3_spl
| ~ cycle(e_5,e_3) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,definition,
( sQ4_spl
<=> cycle(e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ4_spl
| cycle(e_5,e_4) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f203,plain,
( sQ4_spl
| ~ cycle(e_5,e_4) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f184,f189,f192,f195,f198,f201]) ).
fof(f205,definition,
( sQ5_spl
<=> cycle(e_4,e_0) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( ~ sQ5_spl
| cycle(e_4,e_0) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f207,plain,
( sQ5_spl
| ~ cycle(e_4,e_0) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,definition,
( sQ6_spl
<=> cycle(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ6_spl
| cycle(e_4,e_1) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f210,plain,
( sQ6_spl
| ~ cycle(e_4,e_1) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,definition,
( sQ7_spl
<=> cycle(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ7_spl
| cycle(e_4,e_2) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f213,plain,
( sQ7_spl
| ~ cycle(e_4,e_2) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,definition,
( sQ8_spl
<=> cycle(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( ~ sQ8_spl
| cycle(e_4,e_3) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f216,plain,
( sQ8_spl
| ~ cycle(e_4,e_3) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,definition,
( sQ9_spl
<=> cycle(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ9_spl
| cycle(e_4,e_4) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f219,plain,
( sQ9_spl
| ~ cycle(e_4,e_4) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f185,f205,f208,f211,f214,f217]) ).
fof(f221,definition,
( sQ10_spl
<=> cycle(e_3,e_0) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( ~ sQ10_spl
| cycle(e_3,e_0) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f223,plain,
( sQ10_spl
| ~ cycle(e_3,e_0) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,definition,
( sQ11_spl
<=> cycle(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ11_spl
| cycle(e_3,e_1) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f226,plain,
( sQ11_spl
| ~ cycle(e_3,e_1) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,definition,
( sQ12_spl
<=> cycle(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( ~ sQ12_spl
| cycle(e_3,e_2) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f229,plain,
( sQ12_spl
| ~ cycle(e_3,e_2) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,definition,
( sQ13_spl
<=> cycle(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ13_spl
| cycle(e_3,e_3) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f232,plain,
( sQ13_spl
| ~ cycle(e_3,e_3) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,definition,
( sQ14_spl
<=> cycle(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( ~ sQ14_spl
| cycle(e_3,e_4) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f235,plain,
( sQ14_spl
| ~ cycle(e_3,e_4) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f186,f221,f224,f227,f230,f233]) ).
fof(f237,definition,
( sQ15_spl
<=> cycle(e_2,e_0) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( ~ sQ15_spl
| cycle(e_2,e_0) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f239,plain,
( sQ15_spl
| ~ cycle(e_2,e_0) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,definition,
( sQ16_spl
<=> cycle(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ16_spl
| cycle(e_2,e_1) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f242,plain,
( sQ16_spl
| ~ cycle(e_2,e_1) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,definition,
( sQ17_spl
<=> cycle(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( ~ sQ17_spl
| cycle(e_2,e_2) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f245,plain,
( sQ17_spl
| ~ cycle(e_2,e_2) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,definition,
( sQ18_spl
<=> cycle(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ18_spl
| cycle(e_2,e_3) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f248,plain,
( sQ18_spl
| ~ cycle(e_2,e_3) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,definition,
( sQ19_spl
<=> cycle(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ19_spl
| cycle(e_2,e_4) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f251,plain,
( sQ19_spl
| ~ cycle(e_2,e_4) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f187,f237,f240,f243,f246,f249]) ).
fof(f253,definition,
( sQ20_spl
<=> cycle(e_1,e_0) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( ~ sQ20_spl
| cycle(e_1,e_0) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,definition,
( sQ21_spl
<=> cycle(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ21_spl
| cycle(e_1,e_1) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,definition,
( sQ22_spl
<=> cycle(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( ~ sQ22_spl
| cycle(e_1,e_2) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,definition,
( sQ23_spl
<=> cycle(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ23_spl
| cycle(e_1,e_3) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f264,plain,
( sQ23_spl
| ~ cycle(e_1,e_3) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
( sQ24_spl
<=> cycle(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ24_spl
| cycle(e_1,e_4) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f267,plain,
( sQ24_spl
| ~ cycle(e_1,e_4) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f188,f253,f256,f259,f262,f265]) ).
fof(f269,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)],[f85,f69]) ).
fof(f270,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)],[f85,f68]) ).
fof(f271,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)],[f85,f67]) ).
fof(f272,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)],[f85,f66]) ).
fof(f273,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)],[f85,f65]) ).
fof(f274,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)],[f87,f83]) ).
fof(f275,plain,
! [X0] :
( ~ greater(X0,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f88,f83]) ).
fof(f276,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1)
| ~ cycle(X0,e_5) ),
inference(resolution,[status(thm)],[f90,f69]) ).
fof(f277,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f90,f68]) ).
fof(f278,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f90,f67]) ).
fof(f279,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f90,f66]) ).
fof(f280,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f90,f65]) ).
fof(f281,plain,
! [X0] :
( product(X0,e_5,e_5)
| product(X0,e_5,e_4)
| product(X0,e_5,e_3)
| product(X0,e_5,e_2)
| product(X0,e_5,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f116,f95]) ).
fof(f282,plain,
! [X0] :
( product(X0,e_4,e_5)
| product(X0,e_4,e_4)
| product(X0,e_4,e_3)
| product(X0,e_4,e_2)
| product(X0,e_4,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f116,f94]) ).
fof(f283,plain,
! [X0] :
( product(X0,e_3,e_5)
| product(X0,e_3,e_4)
| product(X0,e_3,e_3)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f116,f93]) ).
fof(f284,plain,
! [X0] :
( product(X0,e_2,e_5)
| product(X0,e_2,e_4)
| product(X0,e_2,e_3)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f116,f92]) ).
fof(f285,plain,
! [X0] :
( product(X0,e_1,e_5)
| product(X0,e_1,e_4)
| product(X0,e_1,e_3)
| product(X0,e_1,e_2)
| product(X0,e_1,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f116,f91]) ).
fof(f287,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_4)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f266,f81]) ).
fof(f288,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_3)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f263,f81]) ).
fof(f289,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_2)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f260,f81]) ).
fof(f290,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_1)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f257,f81]) ).
fof(f291,plain,
! [X0] :
( ~ sQ20_spl
| ~ greater(X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f254,f88]) ).
fof(f292,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)],[f254,f87]) ).
fof(f293,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f254,f81]) ).
fof(f294,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f250,f81]) ).
fof(f295,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f247,f81]) ).
fof(f296,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f244,f81]) ).
fof(f297,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_1)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f241,f81]) ).
fof(f298,plain,
! [X0] :
( ~ sQ15_spl
| ~ greater(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f238,f88]) ).
fof(f299,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)],[f238,f87]) ).
fof(f300,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f238,f81]) ).
fof(f301,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_4)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f234,f81]) ).
fof(f302,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f231,f81]) ).
fof(f303,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_2)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f228,f81]) ).
fof(f304,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_1)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f225,f81]) ).
fof(f305,plain,
! [X0] :
( ~ sQ10_spl
| ~ greater(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f222,f88]) ).
fof(f306,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)],[f222,f87]) ).
fof(f307,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f222,f81]) ).
fof(f308,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f218,f81]) ).
fof(f309,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_3)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f215,f81]) ).
fof(f310,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_2)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f212,f81]) ).
fof(f311,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_1)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f209,f81]) ).
fof(f312,plain,
! [X0] :
( ~ sQ5_spl
| ~ greater(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f206,f88]) ).
fof(f313,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)],[f206,f87]) ).
fof(f314,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f206,f81]) ).
fof(f315,plain,
( ~ sQ4_spl
| equalish(e_4,e_0) ),
inference(resolution,[status(thm)],[f202,f183]) ).
fof(f316,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_4)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f202,f81]) ).
fof(f317,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(e_4,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f270,f218]) ).
fof(f318,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(e_4,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f270,f234]) ).
fof(f319,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| equalish(e_4,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f270,f250]) ).
fof(f320,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| equalish(e_4,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f270,f266]) ).
fof(f321,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| equalish(e_4,X2)
| ~ next(X1,X2)
| ~ next(e_5,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f270,f202]) ).
fof(f322,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f271,f215]) ).
fof(f323,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f271,f231]) ).
fof(f324,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f271,f247]) ).
fof(f325,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f271,f263]) ).
fof(f326,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f272,f212]) ).
fof(f327,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f272,f228]) ).
fof(f328,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f272,f244]) ).
fof(f329,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f272,f260]) ).
fof(f330,plain,
( ~ sQ20_spl
| ~ sQ24_spl
| equalish(e_0,e_4) ),
inference(resolution,[status(thm)],[f287,f254]) ).
fof(f331,plain,
( ~ sQ21_spl
| ~ sQ24_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f287,f257]) ).
fof(f332,plain,
( ~ sQ22_spl
| ~ sQ24_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f287,f260]) ).
fof(f333,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f287,f263]) ).
fof(f334,plain,
( ~ sQ24_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f287,f266]) ).
fof(f335,plain,
( ~ sQ21_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f331,f98]) ).
fof(f336,plain,
( ~ sQ21_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f335]) ).
fof(f337,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f273,f209]) ).
fof(f338,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f273,f225]) ).
fof(f339,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f273,f241]) ).
fof(f340,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| equalish(e_0,e_3) ),
inference(resolution,[status(thm)],[f288,f254]) ).
fof(f341,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f288,f260]) ).
fof(f342,plain,
( ~ sQ23_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f288,f263]) ).
fof(f343,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f341,f101]) ).
fof(f344,plain,
( ~ sQ22_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f343]) ).
fof(f346,plain,
! [X0,X1] :
( ~ sQ9_spl
| equalish(X0,X1)
| ~ next(e_4,X1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f277,f218]) ).
fof(f347,plain,
! [X0,X1] :
( ~ sQ14_spl
| equalish(X0,X1)
| ~ next(e_3,X1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f277,f234]) ).
fof(f348,plain,
! [X0,X1] :
( ~ sQ19_spl
| equalish(X0,X1)
| ~ next(e_2,X1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f277,f250]) ).
fof(f349,plain,
! [X0,X1] :
( ~ sQ4_spl
| equalish(X0,X1)
| ~ next(e_5,X1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f277,f202]) ).
fof(f350,plain,
( ~ sQ15_spl
| ~ sQ19_spl
| equalish(e_0,e_4) ),
inference(resolution,[status(thm)],[f294,f238]) ).
fof(f351,plain,
( ~ sQ16_spl
| ~ sQ19_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f294,f241]) ).
fof(f352,plain,
( ~ sQ17_spl
| ~ sQ19_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f294,f244]) ).
fof(f353,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f294,f247]) ).
fof(f355,plain,
( ~ sQ16_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f351,f98]) ).
fof(f356,plain,
( ~ sQ16_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f355]) ).
fof(f357,plain,
! [X0,X1] :
( ~ sQ8_spl
| equalish(X0,X1)
| ~ next(e_4,X1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f278,f215]) ).
fof(f358,plain,
! [X0,X1] :
( ~ sQ13_spl
| equalish(X0,X1)
| ~ next(e_3,X1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f278,f231]) ).
fof(f359,plain,
! [X0,X1] :
( ~ sQ18_spl
| equalish(X0,X1)
| ~ next(e_2,X1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f278,f247]) ).
fof(f360,plain,
( ~ sQ15_spl
| ~ sQ18_spl
| equalish(e_0,e_3) ),
inference(resolution,[status(thm)],[f295,f238]) ).
fof(f361,plain,
( ~ sQ17_spl
| ~ sQ18_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f295,f244]) ).
fof(f363,plain,
( ~ sQ17_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f361,f101]) ).
fof(f364,plain,
( ~ sQ17_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f363]) ).
fof(f365,plain,
! [X0,X1] :
( ~ sQ7_spl
| equalish(X0,X1)
| ~ next(e_4,X1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f279,f212]) ).
fof(f366,plain,
! [X0,X1] :
( ~ sQ12_spl
| equalish(X0,X1)
| ~ next(e_3,X1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f279,f228]) ).
fof(f367,plain,
! [X0,X1] :
( ~ sQ6_spl
| equalish(X0,X1)
| ~ next(e_4,X1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f280,f209]) ).
fof(f368,plain,
! [X0,X1] :
( ~ sQ11_spl
| equalish(X0,X1)
| ~ next(e_3,X1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f280,f225]) ).
fof(f370,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| equalish(e_0,e_4) ),
inference(resolution,[status(thm)],[f301,f222]) ).
fof(f371,plain,
( ~ sQ11_spl
| ~ sQ14_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f301,f225]) ).
fof(f372,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f301,f228]) ).
fof(f373,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f301,f231]) ).
fof(f375,plain,
( ~ sQ11_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f371,f98]) ).
fof(f376,plain,
( ~ sQ11_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f281,f94]) ).
fof(f379,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f281,f93]) ).
fof(f380,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f281,f92]) ).
fof(f381,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f281,f91]) ).
fof(f382,definition,
( sQ25_spl
<=> product(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ25_spl
| product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f384,plain,
( sQ25_spl
| ~ product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ26_spl
<=> product(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( ~ sQ26_spl
| product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f387,plain,
( sQ26_spl
| ~ product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,definition,
( sQ27_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ27_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f390,plain,
( sQ27_spl
| ~ product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,definition,
( sQ28_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( ~ sQ28_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f393,plain,
( sQ28_spl
| ~ product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,definition,
( sQ29_spl
<=> product(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( sQ29_spl
| ~ product(e_5,e_5,e_5) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f398,definition,
( sQ30_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ30_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f400,plain,
( sQ30_spl
| ~ product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
( sQ31_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( ~ sQ31_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f403,plain,
( sQ31_spl
| ~ product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,definition,
( sQ32_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ32_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f406,plain,
( sQ32_spl
| ~ product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,definition,
( sQ33_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ33_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f409,plain,
( sQ33_spl
| ~ product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,definition,
( sQ34_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( ~ sQ34_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f412,plain,
( sQ34_spl
| ~ product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f378,f398,f401,f404,f407,f410]) ).
fof(f414,definition,
( sQ35_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ35_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f416,plain,
( sQ35_spl
| ~ product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,definition,
( sQ36_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( ~ sQ36_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f419,plain,
( sQ36_spl
| ~ product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,definition,
( sQ37_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f421,plain,
( ~ sQ37_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f422,plain,
( sQ37_spl
| ~ product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,definition,
( sQ38_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f424,plain,
( ~ sQ38_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f425,plain,
( sQ38_spl
| ~ product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,definition,
( sQ39_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( ~ sQ39_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f428,plain,
( sQ39_spl
| ~ product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f379,f414,f417,f420,f423,f426]) ).
fof(f430,definition,
( sQ40_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ40_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f432,plain,
( sQ40_spl
| ~ product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,definition,
( sQ41_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( ~ sQ41_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f435,plain,
( sQ41_spl
| ~ product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,definition,
( sQ42_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( ~ sQ42_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f438,plain,
( sQ42_spl
| ~ product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,definition,
( sQ43_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( ~ sQ43_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f441,plain,
( sQ43_spl
| ~ product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,definition,
( sQ44_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( ~ sQ44_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f444,plain,
( sQ44_spl
| ~ product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f380,f430,f433,f436,f439,f442]) ).
fof(f446,definition,
( sQ45_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ45_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f448,plain,
( sQ45_spl
| ~ product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,definition,
( sQ46_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ46_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f451,plain,
( sQ46_spl
| ~ product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
( sQ47_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ47_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f454,plain,
( sQ47_spl
| ~ product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,definition,
( sQ48_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ48_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f457,plain,
( sQ48_spl
| ~ product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,definition,
( sQ49_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ49_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f460,plain,
( sQ49_spl
| ~ product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f381,f446,f449,f452,f455,f458]) ).
fof(f462,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f282,f95]) ).
fof(f464,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f282,f93]) ).
fof(f465,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f282,f92]) ).
fof(f466,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f282,f91]) ).
fof(f467,definition,
( sQ50_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ50_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f469,plain,
( sQ50_spl
| ~ product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,definition,
( sQ51_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ51_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f472,plain,
( sQ51_spl
| ~ product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,definition,
( sQ52_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ52_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f475,plain,
( sQ52_spl
| ~ product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,definition,
( sQ53_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ53_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f478,plain,
( sQ53_spl
| ~ product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,definition,
( sQ54_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ54_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f481,plain,
( sQ54_spl
| ~ product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f462,f467,f470,f473,f476,f479]) ).
fof(f483,definition,
( sQ55_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( ~ sQ55_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f485,plain,
( sQ55_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,definition,
( sQ56_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( ~ sQ56_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f488,plain,
( sQ56_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,definition,
( sQ57_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ57_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f491,plain,
( sQ57_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,definition,
( sQ58_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( sQ58_spl
| ~ product(e_4,e_4,e_4) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,definition,
( sQ59_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( ~ sQ59_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f497,plain,
( sQ59_spl
| ~ product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f499,definition,
( sQ60_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ60_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f501,plain,
( sQ60_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,definition,
( sQ61_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ61_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f504,plain,
( sQ61_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,definition,
( sQ62_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( ~ sQ62_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f507,plain,
( sQ62_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,definition,
( sQ63_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( ~ sQ63_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f510,plain,
( sQ63_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,definition,
( sQ64_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( ~ sQ64_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f513,plain,
( sQ64_spl
| ~ product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f464,f499,f502,f505,f508,f511]) ).
fof(f515,definition,
( sQ65_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ65_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f517,plain,
( sQ65_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
( sQ66_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( ~ sQ66_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f520,plain,
( sQ66_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,definition,
( sQ67_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f522,plain,
( ~ sQ67_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f523,plain,
( sQ67_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,definition,
( sQ68_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( ~ sQ68_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f526,plain,
( sQ68_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,definition,
( sQ69_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( ~ sQ69_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f529,plain,
( sQ69_spl
| ~ product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f530,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f465,f515,f518,f521,f524,f527]) ).
fof(f531,definition,
( sQ70_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( ~ sQ70_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f533,plain,
( sQ70_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,definition,
( sQ71_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( ~ sQ71_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f536,plain,
( sQ71_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,definition,
( sQ72_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ72_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f539,plain,
( sQ72_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,definition,
( sQ73_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f541,plain,
( ~ sQ73_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f542,plain,
( sQ73_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,definition,
( sQ74_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( ~ sQ74_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f545,plain,
( sQ74_spl
| ~ product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f466,f531,f534,f537,f540,f543]) ).
fof(f547,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f283,f95]) ).
fof(f548,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f283,f94]) ).
fof(f550,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f283,f92]) ).
fof(f551,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f283,f91]) ).
fof(f552,definition,
( sQ75_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( ~ sQ75_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f554,plain,
( sQ75_spl
| ~ product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,definition,
( sQ76_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ76_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f557,plain,
( sQ76_spl
| ~ product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,definition,
( sQ77_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ77_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f560,plain,
( sQ77_spl
| ~ product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,definition,
( sQ78_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( ~ sQ78_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f563,plain,
( sQ78_spl
| ~ product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,definition,
( sQ79_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ79_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f566,plain,
( sQ79_spl
| ~ product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f547,f552,f555,f558,f561,f564]) ).
fof(f568,definition,
( sQ80_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ80_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f570,plain,
( sQ80_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,definition,
( sQ81_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( ~ sQ81_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f573,plain,
( sQ81_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,definition,
( sQ82_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f575,plain,
( ~ sQ82_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f576,plain,
( sQ82_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,definition,
( sQ83_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( ~ sQ83_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f579,plain,
( sQ83_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,definition,
( sQ84_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ84_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f582,plain,
( sQ84_spl
| ~ product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f548,f568,f571,f574,f577,f580]) ).
fof(f584,definition,
( sQ85_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ85_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f586,plain,
( sQ85_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,definition,
( sQ86_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f588,plain,
( ~ sQ86_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f589,plain,
( sQ86_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,definition,
( sQ87_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f592,plain,
( sQ87_spl
| ~ product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,definition,
( sQ88_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ88_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f595,plain,
( sQ88_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,definition,
( sQ89_spl
<=> product(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( ~ sQ89_spl
| product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f598,plain,
( sQ89_spl
| ~ product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f600,definition,
( sQ90_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( ~ sQ90_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f602,plain,
( sQ90_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,definition,
( sQ91_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ91_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f605,plain,
( sQ91_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,definition,
( sQ92_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( ~ sQ92_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f608,plain,
( sQ92_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,definition,
( sQ93_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f610,plain,
( ~ sQ93_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f611,plain,
( sQ93_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,definition,
( sQ94_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f613,plain,
( ~ sQ94_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f614,plain,
( sQ94_spl
| ~ product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f550,f600,f603,f606,f609,f612]) ).
fof(f616,definition,
( sQ95_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( ~ sQ95_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f618,plain,
( sQ95_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,definition,
( sQ96_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ96_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f621,plain,
( sQ96_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,definition,
( sQ97_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f623,plain,
( ~ sQ97_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f622]) ).
fof(f624,plain,
( sQ97_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f622]) ).
fof(f625,definition,
( sQ98_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f626,plain,
( ~ sQ98_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f627,plain,
( sQ98_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,definition,
( sQ99_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( ~ sQ99_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f630,plain,
( sQ99_spl
| ~ product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f551,f616,f619,f622,f625,f628]) ).
fof(f632,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f284,f95]) ).
fof(f633,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f284,f94]) ).
fof(f634,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f284,f93]) ).
fof(f636,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f284,f91]) ).
fof(f637,definition,
( sQ100_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f638,plain,
( ~ sQ100_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f639,plain,
( sQ100_spl
| ~ product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f640,definition,
( sQ101_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( ~ sQ101_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f642,plain,
( sQ101_spl
| ~ product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,definition,
( sQ102_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f644,plain,
( ~ sQ102_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f645,plain,
( sQ102_spl
| ~ product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,definition,
( sQ103_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f647,plain,
( ~ sQ103_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f648,plain,
( sQ103_spl
| ~ product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,definition,
( sQ104_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f650,plain,
( ~ sQ104_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f651,plain,
( sQ104_spl
| ~ product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f632,f637,f640,f643,f646,f649]) ).
fof(f653,definition,
( sQ105_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f654,plain,
( ~ sQ105_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f655,plain,
( sQ105_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,definition,
( sQ106_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( ~ sQ106_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f658,plain,
( sQ106_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,definition,
( sQ107_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( ~ sQ107_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f661,plain,
( sQ107_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,definition,
( sQ108_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( ~ sQ108_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f664,plain,
( sQ108_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,definition,
( sQ109_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f666,plain,
( ~ sQ109_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f667,plain,
( sQ109_spl
| ~ product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f633,f653,f656,f659,f662,f665]) ).
fof(f669,definition,
( sQ110_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( ~ sQ110_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f671,plain,
( sQ110_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,definition,
( sQ111_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f673,plain,
( ~ sQ111_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f674,plain,
( sQ111_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f675,definition,
( sQ112_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f676,plain,
( ~ sQ112_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f677,plain,
( sQ112_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,definition,
( sQ113_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f679,plain,
( ~ sQ113_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f680,plain,
( sQ113_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,definition,
( sQ114_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f682,plain,
( ~ sQ114_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f683,plain,
( sQ114_spl
| ~ product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f634,f669,f672,f675,f678,f681]) ).
fof(f685,definition,
( sQ115_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f686,plain,
( ~ sQ115_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f687,plain,
( sQ115_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f688,definition,
( sQ116_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f690,plain,
( sQ116_spl
| ~ product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,definition,
( sQ117_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f692,plain,
( ~ sQ117_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f691]) ).
fof(f693,plain,
( sQ117_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f691]) ).
fof(f694,definition,
( sQ118_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( ~ sQ118_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f696,plain,
( sQ118_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,definition,
( sQ119_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( ~ sQ119_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f699,plain,
( sQ119_spl
| ~ product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f701,definition,
( sQ120_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f702,plain,
( ~ sQ120_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f703,plain,
( sQ120_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f704,definition,
( sQ121_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f705,plain,
( ~ sQ121_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f704]) ).
fof(f706,plain,
( sQ121_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f704]) ).
fof(f707,definition,
( sQ122_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f708,plain,
( ~ sQ122_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f709,plain,
( sQ122_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,definition,
( sQ123_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f711,plain,
( ~ sQ123_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f712,plain,
( sQ123_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,definition,
( sQ124_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f714,plain,
( ~ sQ124_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f715,plain,
( sQ124_spl
| ~ product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f716,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f636,f701,f704,f707,f710,f713]) ).
fof(f718,plain,
! [X0,X1] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f459,f144]) ).
fof(f720,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f459,f144]) ).
fof(f724,plain,
( ~ sQ49_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f459,f160]) ).
fof(f725,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f459,f140]) ).
fof(f726,plain,
( ~ sQ49_spl
| equalish(e_5,e_1)
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f459,f148]) ).
fof(f727,plain,
( ~ sQ49_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f138]) ).
fof(f728,plain,
! [X0,X1] :
( ~ sQ49_spl
| equalish(X1,e_5)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f459,f138]) ).
fof(f729,plain,
( ~ sQ49_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f138]) ).
fof(f730,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f459,f138]) ).
fof(f731,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f122]) ).
fof(f732,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f459,f136]) ).
fof(f733,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f459,f136]) ).
fof(f734,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f459,f134]) ).
fof(f735,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f459,f120]) ).
fof(f736,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f459,f118]) ).
fof(f737,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f459,f127]) ).
fof(f738,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(X1,e_5)
| ~ product(e_1,X0,X1)
| ~ product(e_5,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f459,f127]) ).
fof(f739,plain,
( ~ sQ49_spl
| equalish(e_5,e_5)
| ~ product(e_1,e_1,e_5)
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f127]) ).
fof(f740,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(e_5,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f459,f127]) ).
fof(f741,plain,
( ~ sQ49_spl
| equalish(e_5,e_5)
| ~ product(e_1,e_1,e_5)
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f127]) ).
fof(f742,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(X1,e_5)
| ~ product(X2,e_1,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f459,f127]) ).
fof(f743,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f459,f125]) ).
fof(f744,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,X1)
| ~ product(e_5,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f459,f125]) ).
fof(f745,plain,
( ~ sQ49_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_1,e_5)
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f125]) ).
fof(f746,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(e_5,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f459,f125]) ).
fof(f747,plain,
( ~ sQ49_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_1,e_5)
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f125]) ).
fof(f748,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f459,f125]) ).
fof(f749,definition,
( sQ125_spl
<=> equalish(e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f754,definition,
! [X0] :
( sQ126_spl
<=> ( ~ product(e_5,e_5,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f755,plain,
! [X0] :
( ~ sQ126_spl
| ~ product(e_5,e_5,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,definition,
( sQ127_spl
<=> equalish(e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f758,plain,
( ~ sQ127_spl
| equalish(e_1,e_5) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f761,definition,
( sQ128_spl
<=> equalish(e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f762,plain,
( ~ sQ128_spl
| equalish(e_5,e_1) ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f765,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f724,f99]) ).
fof(f766,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f765]) ).
fof(f767,plain,
( ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f762,f112]) ).
fof(f768,plain,
~ sQ128_spl,
inference(contradiction_clause,[status(thm)],[f767]) ).
fof(f769,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f758,f99]) ).
fof(f770,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f769]) ).
fof(f771,plain,
( ~ sQ126_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f755,f123]) ).
fof(f772,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f285,f95]) ).
fof(f773,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f285,f94]) ).
fof(f774,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f285,f93]) ).
fof(f775,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f285,f92]) ).
fof(f777,definition,
( sQ129_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f778,plain,
( ~ sQ129_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f779,plain,
( sQ129_spl
| ~ product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,definition,
( sQ130_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f781,plain,
( ~ sQ130_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f780]) ).
fof(f782,plain,
( sQ130_spl
| ~ product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f780]) ).
fof(f783,definition,
( sQ131_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f784,plain,
( ~ sQ131_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f785,plain,
( sQ131_spl
| ~ product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,definition,
( sQ132_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( ~ sQ132_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f788,plain,
( sQ132_spl
| ~ product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,definition,
( sQ133_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f790,plain,
( ~ sQ133_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f791,plain,
( sQ133_spl
| ~ product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f792,plain,
( sQ133_spl
| sQ132_spl
| sQ131_spl
| sQ130_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f772,f777,f780,f783,f786,f789]) ).
fof(f793,definition,
( sQ134_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f794,plain,
( ~ sQ134_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f795,plain,
( sQ134_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,definition,
( sQ135_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f797,plain,
( ~ sQ135_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f798,plain,
( sQ135_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,definition,
( sQ136_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f800,plain,
( ~ sQ136_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f801,plain,
( sQ136_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f802,definition,
( sQ137_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f803,plain,
( ~ sQ137_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f802]) ).
fof(f804,plain,
( sQ137_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f802]) ).
fof(f805,definition,
( sQ138_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f806,plain,
( ~ sQ138_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f805]) ).
fof(f807,plain,
( sQ138_spl
| ~ product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f805]) ).
fof(f808,plain,
( sQ138_spl
| sQ137_spl
| sQ136_spl
| sQ135_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f773,f793,f796,f799,f802,f805]) ).
fof(f809,definition,
( sQ139_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f810,plain,
( ~ sQ139_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f811,plain,
( sQ139_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f812,definition,
( sQ140_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f813,plain,
( ~ sQ140_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f814,plain,
( sQ140_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f815,definition,
( sQ141_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f816,plain,
( ~ sQ141_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f817,plain,
( sQ141_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f818,definition,
( sQ142_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f819,plain,
( ~ sQ142_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f818]) ).
fof(f820,plain,
( sQ142_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f818]) ).
fof(f821,definition,
( sQ143_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f822,plain,
( ~ sQ143_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f821]) ).
fof(f823,plain,
( sQ143_spl
| ~ product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f821]) ).
fof(f824,plain,
( sQ143_spl
| sQ142_spl
| sQ141_spl
| sQ140_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f774,f809,f812,f815,f818,f821]) ).
fof(f825,definition,
( sQ144_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f826,plain,
( ~ sQ144_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f827,plain,
( sQ144_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,definition,
( sQ145_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f829,plain,
( ~ sQ145_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f830,plain,
( sQ145_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f831,definition,
( sQ146_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f832,plain,
( ~ sQ146_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f833,plain,
( sQ146_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f834,definition,
( sQ147_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f835,plain,
( ~ sQ147_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f836,plain,
( sQ147_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f837,definition,
( sQ148_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f838,plain,
( ~ sQ148_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f839,plain,
( sQ148_spl
| ~ product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,plain,
( sQ148_spl
| sQ147_spl
| sQ146_spl
| sQ145_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f775,f825,f828,f831,f834,f837]) ).
fof(f841,definition,
( sQ149_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( sQ149_spl
| ~ product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,definition,
( sQ150_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f845,plain,
( ~ sQ150_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f846,plain,
( sQ150_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f847,definition,
( sQ151_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f848,plain,
( ~ sQ151_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f849,plain,
( sQ151_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f850,definition,
( sQ152_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f851,plain,
( ~ sQ152_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f852,plain,
( sQ152_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f853,definition,
( sQ153_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f854,plain,
( ~ sQ153_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f853]) ).
fof(f855,plain,
( sQ153_spl
| ~ product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f853]) ).
fof(f857,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f456,f144]) ).
fof(f858,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f456,f142]) ).
fof(f859,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f456,f142]) ).
fof(f860,plain,
( ~ sQ48_spl
| equalish(e_5,e_1)
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f456,f167]) ).
fof(f861,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f456,f140]) ).
fof(f862,plain,
( ~ sQ48_spl
| equalish(e_4,e_1)
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f456,f148]) ).
fof(f863,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f456,f138]) ).
fof(f864,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f456,f122]) ).
fof(f865,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,e_4)
| ~ product(e_5,e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f456,f136]) ).
fof(f866,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f456,f136]) ).
fof(f867,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f456,f134]) ).
fof(f868,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f456,f120]) ).
fof(f869,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f456,f118]) ).
fof(f870,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,e_4)
| ~ product(e_5,e_4,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f456,f127]) ).
fof(f871,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(X1,e_4)
| ~ product(e_1,X0,X1)
| ~ product(e_5,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f456,f127]) ).
fof(f872,plain,
( ~ sQ48_spl
| equalish(e_4,e_5)
| ~ product(e_1,e_1,e_5)
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f456,f127]) ).
fof(f873,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(e_4,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f456,f127]) ).
fof(f875,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(X1,e_5)
| ~ product(X2,e_1,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f456,f127]) ).
fof(f876,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_4,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f456,f125]) ).
fof(f877,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,X1)
| ~ product(e_5,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f456,f125]) ).
fof(f878,plain,
( ~ sQ48_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_1,e_5)
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f456,f125]) ).
fof(f879,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(e_5,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f456,f125]) ).
fof(f881,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f456,f125]) ).
fof(f882,definition,
! [X0] :
( sQ154_spl
<=> ( ~ product(e_5,e_4,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f883,plain,
! [X0] :
( ~ sQ154_spl
| ~ product(e_5,e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f885,plain,
( ~ sQ48_spl
| sQ127_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f858,f882,f757,f455]) ).
fof(f886,plain,
( ~ sQ48_spl
| sQ128_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f860,f467,f761,f455]) ).
fof(f887,plain,
( ~ sQ48_spl
| sQ128_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f861,f882,f761,f455]) ).
fof(f888,definition,
( sQ155_spl
<=> equalish(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f889,plain,
( ~ sQ155_spl
| equalish(e_4,e_1) ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f891,plain,
( ~ sQ48_spl
| sQ155_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f862,f467,f888,f455]) ).
fof(f892,definition,
( sQ156_spl
<=> equalish(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f893,plain,
( ~ sQ156_spl
| equalish(e_1,e_4) ),
inference(component_clause,[status(thm)],[f892]) ).
fof(f895,plain,
( ~ sQ48_spl
| sQ156_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f865,f882,f892,f455]) ).
fof(f896,plain,
( ~ sQ48_spl
| sQ155_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f867,f882,f888,f455]) ).
fof(f897,definition,
! [X0] :
( sQ157_spl
<=> ( ~ product(e_5,e_4,X0)
| ~ product(e_5,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f898,plain,
! [X0] :
( ~ sQ157_spl
| ~ product(e_5,e_4,X0)
| ~ product(e_5,e_4,X0) ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f900,definition,
( sQ158_spl
<=> equalish(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f903,plain,
( ~ sQ48_spl
| sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f870,f897,f900,f455]) ).
fof(f904,definition,
( sQ159_spl
<=> equalish(e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f905,plain,
( ~ sQ159_spl
| equalish(e_4,e_5) ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,plain,
( ~ sQ48_spl
| sQ159_spl
| ~ sQ153_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f872,f476,f853,f904,f455]) ).
fof(f909,plain,
( ~ sQ48_spl
| sQ125_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f876,f897,f749,f455]) ).
fof(f910,plain,
( ~ sQ48_spl
| sQ128_spl
| ~ sQ153_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f878,f476,f853,f761,f455]) ).
fof(f912,plain,
( ~ sQ51_spl
| ~ sQ157_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f471,f915]) ).
fof(f913,plain,
( ~ sQ52_spl
| ~ sQ157_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f474,f915]) ).
fof(f914,plain,
( ~ sQ54_spl
| ~ sQ157_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f480,f915]) ).
fof(f915,plain,
! [X0] :
( ~ sQ157_spl
| ~ product(e_5,e_4,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f898]) ).
fof(f916,plain,
( ~ sQ155_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f889,f108]) ).
fof(f917,plain,
~ sQ155_spl,
inference(contradiction_clause,[status(thm)],[f916]) ).
fof(f918,plain,
( ~ sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f905,f111]) ).
fof(f919,plain,
~ sQ159_spl,
inference(contradiction_clause,[status(thm)],[f918]) ).
fof(f920,plain,
( ~ sQ156_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f893,f98]) ).
fof(f921,plain,
~ sQ156_spl,
inference(contradiction_clause,[status(thm)],[f920]) ).
fof(f922,plain,
( ~ sQ51_spl
| ~ sQ157_spl ),
inference(contradiction_clause,[status(thm)],[f912]) ).
fof(f923,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f453,f144]) ).
fof(f924,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f453,f142]) ).
fof(f925,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f453,f142]) ).
fof(f926,plain,
( ~ sQ47_spl
| equalish(e_5,e_1)
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f453,f167]) ).
fof(f927,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f453,f140]) ).
fof(f928,plain,
( ~ sQ47_spl
| equalish(e_3,e_1)
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f453,f148]) ).
fof(f929,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f453,f138]) ).
fof(f930,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f453,f122]) ).
fof(f931,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,e_3)
| ~ product(e_5,e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f453,f136]) ).
fof(f932,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f453,f136]) ).
fof(f933,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f453,f134]) ).
fof(f934,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f453,f120]) ).
fof(f935,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f453,f118]) ).
fof(f936,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_3,e_3)
| ~ product(e_5,e_3,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f453,f127]) ).
fof(f937,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(X1,e_3)
| ~ product(e_1,X0,X1)
| ~ product(e_5,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f453,f127]) ).
fof(f938,plain,
( ~ sQ47_spl
| equalish(e_3,e_5)
| ~ product(e_1,e_1,e_5)
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f453,f127]) ).
fof(f939,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(e_3,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f453,f127]) ).
fof(f941,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(X1,e_5)
| ~ product(X2,e_1,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f453,f127]) ).
fof(f942,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_3,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f453,f125]) ).
fof(f943,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,X1)
| ~ product(e_5,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f453,f125]) ).
fof(f944,plain,
( ~ sQ47_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_1,e_5)
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f453,f125]) ).
fof(f945,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(e_5,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f453,f125]) ).
fof(f947,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f453,f125]) ).
fof(f948,definition,
! [X0] :
( sQ160_spl
<=> ( ~ product(e_5,e_3,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f949,plain,
! [X0] :
( ~ sQ160_spl
| ~ product(e_5,e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f948]) ).
fof(f951,plain,
( ~ sQ47_spl
| sQ127_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f924,f948,f757,f452]) ).
fof(f952,plain,
( ~ sQ47_spl
| sQ128_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f926,f552,f761,f452]) ).
fof(f953,plain,
( ~ sQ47_spl
| sQ128_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f927,f948,f761,f452]) ).
fof(f954,definition,
( sQ161_spl
<=> equalish(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f955,plain,
( ~ sQ161_spl
| equalish(e_3,e_1) ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f957,plain,
( ~ sQ47_spl
| sQ161_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f928,f552,f954,f452]) ).
fof(f958,definition,
( sQ162_spl
<=> equalish(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( ~ sQ162_spl
| equalish(e_1,e_3) ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f961,plain,
( ~ sQ47_spl
| sQ162_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f931,f948,f958,f452]) ).
fof(f962,plain,
( ~ sQ47_spl
| sQ161_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f933,f948,f954,f452]) ).
fof(f963,definition,
! [X0] :
( sQ163_spl
<=> ( ~ product(e_5,e_3,X0)
| ~ product(e_5,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f964,plain,
! [X0] :
( ~ sQ163_spl
| ~ product(e_5,e_3,X0)
| ~ product(e_5,e_3,X0) ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f966,definition,
( sQ164_spl
<=> equalish(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f969,plain,
( ~ sQ47_spl
| sQ164_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f936,f963,f966,f452]) ).
fof(f970,definition,
( sQ165_spl
<=> equalish(e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( ~ sQ165_spl
| equalish(e_3,e_5) ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f973,plain,
( ~ sQ47_spl
| sQ165_spl
| ~ sQ153_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f938,f558,f853,f970,f452]) ).
fof(f975,plain,
( ~ sQ47_spl
| sQ125_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f942,f963,f749,f452]) ).
fof(f976,plain,
( ~ sQ47_spl
| sQ128_spl
| ~ sQ153_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f944,f558,f853,f761,f452]) ).
fof(f978,plain,
( ~ sQ76_spl
| ~ sQ163_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f556,f981]) ).
fof(f979,plain,
( ~ sQ78_spl
| ~ sQ163_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f562,f981]) ).
fof(f980,plain,
( ~ sQ79_spl
| ~ sQ163_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f565,f981]) ).
fof(f981,plain,
! [X0] :
( ~ sQ163_spl
| ~ product(e_5,e_3,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f964]) ).
fof(f982,plain,
( ~ sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f955,f104]) ).
fof(f983,plain,
~ sQ161_spl,
inference(contradiction_clause,[status(thm)],[f982]) ).
fof(f984,plain,
( ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f971,f107]) ).
fof(f985,plain,
~ sQ165_spl,
inference(contradiction_clause,[status(thm)],[f984]) ).
fof(f986,plain,
( ~ sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f959,f97]) ).
fof(f987,plain,
~ sQ162_spl,
inference(contradiction_clause,[status(thm)],[f986]) ).
fof(f988,plain,
( ~ sQ76_spl
| ~ sQ163_spl ),
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f989,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f450,f144]) ).
fof(f990,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f450,f142]) ).
fof(f991,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f450,f142]) ).
fof(f992,plain,
( ~ sQ46_spl
| equalish(e_5,e_1)
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f450,f167]) ).
fof(f993,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f450,f140]) ).
fof(f994,plain,
( ~ sQ46_spl
| equalish(e_2,e_1)
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f450,f148]) ).
fof(f995,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f450,f138]) ).
fof(f996,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f450,f122]) ).
fof(f997,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,e_2)
| ~ product(e_5,e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f450,f136]) ).
fof(f998,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f450,f136]) ).
fof(f999,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f450,f134]) ).
fof(f1000,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f450,f120]) ).
fof(f1001,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f450,f118]) ).
fof(f1002,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,e_2)
| ~ product(e_5,e_2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f450,f127]) ).
fof(f1003,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(X1,e_2)
| ~ product(e_1,X0,X1)
| ~ product(e_5,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f450,f127]) ).
fof(f1004,plain,
( ~ sQ46_spl
| equalish(e_2,e_5)
| ~ product(e_1,e_1,e_5)
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f450,f127]) ).
fof(f1005,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(e_2,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f450,f127]) ).
fof(f1007,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(X1,e_5)
| ~ product(X2,e_1,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f450,f127]) ).
fof(f1008,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f450,f125]) ).
fof(f1009,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,X1)
| ~ product(e_5,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f450,f125]) ).
fof(f1010,plain,
( ~ sQ46_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_1,e_5)
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f450,f125]) ).
fof(f1011,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(e_5,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f450,f125]) ).
fof(f1013,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f450,f125]) ).
fof(f1014,definition,
! [X0] :
( sQ166_spl
<=> ( ~ product(e_5,e_2,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1015,plain,
! [X0] :
( ~ sQ166_spl
| ~ product(e_5,e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f1014]) ).
fof(f1017,plain,
( ~ sQ46_spl
| sQ127_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f990,f1014,f757,f449]) ).
fof(f1018,plain,
( ~ sQ46_spl
| sQ128_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f992,f637,f761,f449]) ).
fof(f1019,plain,
( ~ sQ46_spl
| sQ128_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f993,f1014,f761,f449]) ).
fof(f1020,definition,
( sQ167_spl
<=> equalish(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1021,plain,
( ~ sQ167_spl
| equalish(e_2,e_1) ),
inference(component_clause,[status(thm)],[f1020]) ).
fof(f1023,plain,
( ~ sQ46_spl
| sQ167_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f994,f637,f1020,f449]) ).
fof(f1024,definition,
( sQ168_spl
<=> equalish(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1025,plain,
( ~ sQ168_spl
| equalish(e_1,e_2) ),
inference(component_clause,[status(thm)],[f1024]) ).
fof(f1027,plain,
( ~ sQ46_spl
| sQ168_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f997,f1014,f1024,f449]) ).
fof(f1028,plain,
( ~ sQ46_spl
| sQ167_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f999,f1014,f1020,f449]) ).
fof(f1029,definition,
! [X0] :
( sQ169_spl
<=> ( ~ product(e_5,e_2,X0)
| ~ product(e_5,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1030,plain,
! [X0] :
( ~ sQ169_spl
| ~ product(e_5,e_2,X0)
| ~ product(e_5,e_2,X0) ),
inference(component_clause,[status(thm)],[f1029]) ).
fof(f1032,definition,
( sQ170_spl
<=> equalish(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1035,plain,
( ~ sQ46_spl
| sQ170_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1002,f1029,f1032,f449]) ).
fof(f1036,definition,
( sQ171_spl
<=> equalish(e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1037,plain,
( ~ sQ171_spl
| equalish(e_2,e_5) ),
inference(component_clause,[status(thm)],[f1036]) ).
fof(f1039,plain,
( ~ sQ46_spl
| sQ171_spl
| ~ sQ153_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f1004,f640,f853,f1036,f449]) ).
fof(f1041,plain,
( ~ sQ46_spl
| sQ125_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1008,f1029,f749,f449]) ).
fof(f1042,plain,
( ~ sQ46_spl
| sQ128_spl
| ~ sQ153_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f1010,f640,f853,f761,f449]) ).
fof(f1044,plain,
( ~ sQ102_spl
| ~ sQ169_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f644,f1047]) ).
fof(f1045,plain,
( ~ sQ103_spl
| ~ sQ169_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f647,f1047]) ).
fof(f1046,plain,
( ~ sQ104_spl
| ~ sQ169_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f650,f1047]) ).
fof(f1047,plain,
! [X0] :
( ~ sQ169_spl
| ~ product(e_5,e_2,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1030]) ).
fof(f1048,plain,
( ~ sQ167_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1021,f100]) ).
fof(f1049,plain,
~ sQ167_spl,
inference(contradiction_clause,[status(thm)],[f1048]) ).
fof(f1050,plain,
( ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1037,f103]) ).
fof(f1051,plain,
~ sQ171_spl,
inference(contradiction_clause,[status(thm)],[f1050]) ).
fof(f1052,plain,
( ~ sQ168_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1025,f96]) ).
fof(f1053,plain,
~ sQ168_spl,
inference(contradiction_clause,[status(thm)],[f1052]) ).
fof(f1054,plain,
( ~ sQ102_spl
| ~ sQ169_spl ),
inference(contradiction_clause,[status(thm)],[f1044]) ).
fof(f1055,plain,
( ~ sQ103_spl
| ~ sQ169_spl ),
inference(contradiction_clause,[status(thm)],[f1045]) ).
fof(f1056,plain,
( ~ sQ20_spl
| ~ greater(e_1,e_1) ),
inference(resolution,[status(thm)],[f291,f123]) ).
fof(f1057,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| ~ greater(X1,X2)
| ~ greater(e_1,X0)
| ~ cycle(e_2,X2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f292,f61]) ).
fof(f1058,plain,
( ~ sQ154_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f883,f123]) ).
fof(f1059,plain,
( ~ sQ160_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f949,f123]) ).
fof(f1061,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f447,f144]) ).
fof(f1062,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f447,f142]) ).
fof(f1063,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f447,f142]) ).
fof(f1066,plain,
( ~ sQ45_spl
| equalish(e_1,e_1)
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f447,f148]) ).
fof(f1068,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f447,f122]) ).
fof(f1069,plain,
( ~ sQ45_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f447,f146]) ).
fof(f1070,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,e_1)
| ~ product(e_5,e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f447,f136]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f447,f136]) ).
fof(f1073,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f447,f120]) ).
fof(f1074,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f447,f118]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,e_1)
| ~ product(e_5,e_1,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f447,f127]) ).
fof(f1076,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(X1,e_1)
| ~ product(e_1,X0,X1)
| ~ product(e_5,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f447,f127]) ).
fof(f1078,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(e_1,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f447,f127]) ).
fof(f1080,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(X1,e_5)
| ~ product(X2,e_1,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f447,f127]) ).
fof(f1081,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_1,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f447,f125]) ).
fof(f1082,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,X1)
| ~ product(e_5,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f447,f125]) ).
fof(f1084,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(e_5,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f447,f125]) ).
fof(f1086,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f447,f125]) ).
fof(f1087,definition,
! [X0] :
( sQ172_spl
<=> ( ~ product(e_5,e_1,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1088,plain,
! [X0] :
( ~ sQ172_spl
| ~ product(e_5,e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f1087]) ).
fof(f1090,plain,
( ~ sQ45_spl
| sQ127_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f1062,f1087,f757,f446]) ).
fof(f1093,definition,
( sQ173_spl
<=> equalish(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1096,plain,
( ~ sQ45_spl
| sQ173_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f1066,f777,f1093,f446]) ).
fof(f1097,plain,
( ~ sQ45_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f1069,f761,f446]) ).
fof(f1098,plain,
( ~ sQ45_spl
| sQ173_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f1070,f1087,f1093,f446]) ).
fof(f1100,definition,
! [X0] :
( sQ174_spl
<=> ( ~ product(e_5,e_1,X0)
| ~ product(e_5,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ174_spl
| ~ product(e_5,e_1,X0)
| ~ product(e_5,e_1,X0) ),
inference(component_clause,[status(thm)],[f1100]) ).
fof(f1103,plain,
( ~ sQ45_spl
| sQ173_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1075,f1100,f1093,f446]) ).
fof(f1106,plain,
( ~ sQ45_spl
| sQ125_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1081,f1100,f749,f446]) ).
fof(f1109,plain,
( ~ sQ130_spl
| ~ sQ174_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f781,f1113]) ).
fof(f1110,plain,
( ~ sQ131_spl
| ~ sQ174_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f784,f1113]) ).
fof(f1111,plain,
( ~ sQ132_spl
| ~ sQ174_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f787,f1113]) ).
fof(f1112,plain,
( ~ sQ133_spl
| ~ sQ174_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f790,f1113]) ).
fof(f1113,plain,
! [X0] :
( ~ sQ174_spl
| ~ product(e_5,e_1,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1101]) ).
fof(f1114,plain,
( ~ sQ130_spl
| ~ sQ174_spl ),
inference(contradiction_clause,[status(thm)],[f1109]) ).
fof(f1115,plain,
( ~ sQ44_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f443,f144]) ).
fof(f1116,plain,
! [X0,X1] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f443,f144]) ).
fof(f1118,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f443,f144]) ).
fof(f1121,plain,
( ~ sQ44_spl
| equalish(e_5,e_2)
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f443,f167]) ).
fof(f1122,plain,
( ~ sQ44_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f443,f160]) ).
fof(f1123,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f443,f140]) ).
fof(f1126,plain,
! [X0,X1] :
( ~ sQ44_spl
| equalish(X1,e_5)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f443,f138]) ).
fof(f1129,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f443,f122]) ).
fof(f1130,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f443,f136]) ).
fof(f1131,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f443,f136]) ).
fof(f1133,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f443,f120]) ).
fof(f1134,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f443,f118]) ).
fof(f1135,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f443,f127]) ).
fof(f1136,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(X1,e_5)
| ~ product(e_2,X0,X1)
| ~ product(e_5,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f443,f127]) ).
fof(f1138,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(e_5,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f443,f127]) ).
fof(f1140,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(X1,e_5)
| ~ product(X2,e_2,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f443,f127]) ).
fof(f1142,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,X1)
| ~ product(e_5,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f443,f125]) ).
fof(f1143,plain,
( ~ sQ44_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_2,e_5)
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f443,f125]) ).
fof(f1144,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(e_5,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f443,f125]) ).
fof(f1146,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f443,f125]) ).
fof(f1147,plain,
( ~ sQ44_spl
| sQ125_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1115,f394,f749,f442]) ).
fof(f1149,definition,
! [X0] :
( sQ175_spl
<=> ( ~ product(e_5,e_5,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1150,plain,
! [X0] :
( ~ sQ175_spl
| ~ product(e_5,e_5,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f1149]) ).
fof(f1153,definition,
( sQ176_spl
<=> equalish(e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1154,plain,
( ~ sQ176_spl
| equalish(e_5,e_2) ),
inference(component_clause,[status(thm)],[f1153]) ).
fof(f1156,plain,
( ~ sQ44_spl
| sQ176_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1121,f385,f1153,f442]) ).
fof(f1157,plain,
( ~ sQ44_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1122,f1036,f442]) ).
fof(f1158,plain,
( ~ sQ44_spl
| sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1123,f1149,f1153,f442]) ).
fof(f1162,plain,
( ~ sQ44_spl
| sQ171_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1130,f1149,f1036,f442]) ).
fof(f1164,definition,
! [X0] :
( sQ177_spl
<=> ( ~ product(e_5,e_5,X0)
| ~ product(e_5,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1165,plain,
! [X0] :
( ~ sQ177_spl
| ~ product(e_5,e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(component_clause,[status(thm)],[f1164]) ).
fof(f1167,plain,
( ~ sQ44_spl
| sQ125_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1135,f1164,f749,f442]) ).
fof(f1171,plain,
( ~ sQ44_spl
| sQ176_spl
| ~ sQ119_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1143,f394,f697,f1153,f442]) ).
fof(f1173,plain,
( ~ sQ176_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1154,f113]) ).
fof(f1174,plain,
~ sQ176_spl,
inference(contradiction_clause,[status(thm)],[f1173]) ).
fof(f1176,plain,
( ~ sQ28_spl
| ~ sQ177_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f392,f1177]) ).
fof(f1177,plain,
! [X0] :
( ~ sQ177_spl
| ~ product(e_5,e_5,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1165]) ).
fof(f1179,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f440,f144]) ).
fof(f1180,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f440,f142]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f440,f142]) ).
fof(f1182,plain,
( ~ sQ43_spl
| equalish(e_5,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f440,f167]) ).
fof(f1183,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f440,f140]) ).
fof(f1184,plain,
( ~ sQ43_spl
| equalish(e_4,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f440,f148]) ).
fof(f1185,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f440,f138]) ).
fof(f1186,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f440,f122]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,e_4)
| ~ product(e_5,e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f440,f136]) ).
fof(f1188,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f440,f136]) ).
fof(f1189,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f440,f134]) ).
fof(f1190,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f440,f120]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f440,f118]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,e_4)
| ~ product(e_5,e_4,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f440,f127]) ).
fof(f1193,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(X1,e_4)
| ~ product(e_2,X0,X1)
| ~ product(e_5,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f440,f127]) ).
fof(f1194,plain,
( ~ sQ43_spl
| equalish(e_4,e_5)
| ~ product(e_2,e_2,e_5)
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f440,f127]) ).
fof(f1195,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(e_4,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f440,f127]) ).
fof(f1197,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(X1,e_5)
| ~ product(X2,e_2,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f440,f127]) ).
fof(f1198,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_4,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f440,f125]) ).
fof(f1199,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,X1)
| ~ product(e_5,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f440,f125]) ).
fof(f1200,plain,
( ~ sQ43_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_2,e_5)
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f440,f125]) ).
fof(f1201,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(e_5,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f440,f125]) ).
fof(f1203,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f440,f125]) ).
fof(f1204,definition,
! [X0] :
( sQ178_spl
<=> ( ~ product(e_5,e_4,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ178_spl
| ~ product(e_5,e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f1204]) ).
fof(f1207,plain,
( ~ sQ43_spl
| sQ171_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1180,f1204,f1036,f439]) ).
fof(f1208,plain,
( ~ sQ43_spl
| sQ176_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1182,f470,f1153,f439]) ).
fof(f1209,plain,
( ~ sQ43_spl
| sQ176_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1183,f1204,f1153,f439]) ).
fof(f1210,definition,
( sQ179_spl
<=> equalish(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1211,plain,
( ~ sQ179_spl
| equalish(e_4,e_2) ),
inference(component_clause,[status(thm)],[f1210]) ).
fof(f1213,plain,
( ~ sQ43_spl
| sQ179_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1184,f470,f1210,f439]) ).
fof(f1214,definition,
( sQ180_spl
<=> equalish(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1215,plain,
( ~ sQ180_spl
| equalish(e_2,e_4) ),
inference(component_clause,[status(thm)],[f1214]) ).
fof(f1217,plain,
( ~ sQ43_spl
| sQ180_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1187,f1204,f1214,f439]) ).
fof(f1218,plain,
( ~ sQ43_spl
| sQ179_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1189,f1204,f1210,f439]) ).
fof(f1219,plain,
( ~ sQ43_spl
| sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1192,f897,f900,f439]) ).
fof(f1220,plain,
( ~ sQ43_spl
| sQ159_spl
| ~ sQ119_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1194,f476,f697,f904,f439]) ).
fof(f1222,plain,
( ~ sQ43_spl
| sQ125_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1198,f897,f749,f439]) ).
fof(f1223,plain,
( ~ sQ43_spl
| sQ176_spl
| ~ sQ119_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1200,f476,f697,f1153,f439]) ).
fof(f1225,plain,
( ~ sQ179_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1211,f109]) ).
fof(f1226,plain,
~ sQ179_spl,
inference(contradiction_clause,[status(thm)],[f1225]) ).
fof(f1227,plain,
( ~ sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1215,f102]) ).
fof(f1228,plain,
~ sQ180_spl,
inference(contradiction_clause,[status(thm)],[f1227]) ).
fof(f1229,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| ~ greater(X1,X2)
| ~ greater(e_2,X0)
| ~ cycle(e_3,X2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f299,f62]) ).
fof(f1230,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| equalish(e_0,e_3) ),
inference(resolution,[status(thm)],[f302,f222]) ).
fof(f1231,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f302,f228]) ).
fof(f1233,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1231,f101]) ).
fof(f1234,plain,
( ~ sQ12_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1233]) ).
fof(f1237,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f437,f144]) ).
fof(f1238,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f437,f142]) ).
fof(f1239,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f437,f142]) ).
fof(f1240,plain,
( ~ sQ42_spl
| equalish(e_5,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f437,f167]) ).
fof(f1241,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f437,f140]) ).
fof(f1242,plain,
( ~ sQ42_spl
| equalish(e_3,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f437,f148]) ).
fof(f1243,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f437,f138]) ).
fof(f1244,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f437,f122]) ).
fof(f1245,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,e_3)
| ~ product(e_5,e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f437,f136]) ).
fof(f1246,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f437,f136]) ).
fof(f1247,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f437,f134]) ).
fof(f1248,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f437,f120]) ).
fof(f1249,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f437,f118]) ).
fof(f1250,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,e_3)
| ~ product(e_5,e_3,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f437,f127]) ).
fof(f1251,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(X1,e_3)
| ~ product(e_2,X0,X1)
| ~ product(e_5,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f437,f127]) ).
fof(f1252,plain,
( ~ sQ42_spl
| equalish(e_3,e_5)
| ~ product(e_2,e_2,e_5)
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f437,f127]) ).
fof(f1253,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(e_3,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f437,f127]) ).
fof(f1255,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(X1,e_5)
| ~ product(X2,e_2,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f437,f127]) ).
fof(f1256,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_3,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f437,f125]) ).
fof(f1257,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,X1)
| ~ product(e_5,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f437,f125]) ).
fof(f1258,plain,
( ~ sQ42_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_2,e_5)
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f437,f125]) ).
fof(f1259,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(e_5,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f437,f125]) ).
fof(f1261,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f437,f125]) ).
fof(f1262,definition,
! [X0] :
( sQ181_spl
<=> ( ~ product(e_5,e_3,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1263,plain,
! [X0] :
( ~ sQ181_spl
| ~ product(e_5,e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1265,plain,
( ~ sQ42_spl
| sQ171_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1238,f1262,f1036,f436]) ).
fof(f1266,plain,
( ~ sQ42_spl
| sQ176_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f1240,f555,f1153,f436]) ).
fof(f1267,plain,
( ~ sQ42_spl
| sQ176_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1241,f1262,f1153,f436]) ).
fof(f1268,definition,
( sQ182_spl
<=> equalish(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1269,plain,
( ~ sQ182_spl
| equalish(e_3,e_2) ),
inference(component_clause,[status(thm)],[f1268]) ).
fof(f1271,plain,
( ~ sQ42_spl
| sQ182_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f1242,f555,f1268,f436]) ).
fof(f1272,definition,
( sQ183_spl
<=> equalish(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1273,plain,
( ~ sQ183_spl
| equalish(e_2,e_3) ),
inference(component_clause,[status(thm)],[f1272]) ).
fof(f1275,plain,
( ~ sQ42_spl
| sQ183_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1245,f1262,f1272,f436]) ).
fof(f1276,plain,
( ~ sQ42_spl
| sQ182_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1247,f1262,f1268,f436]) ).
fof(f1277,plain,
( ~ sQ42_spl
| sQ164_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1250,f963,f966,f436]) ).
fof(f1278,plain,
( ~ sQ42_spl
| sQ165_spl
| ~ sQ119_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f1252,f558,f697,f970,f436]) ).
fof(f1280,plain,
( ~ sQ42_spl
| sQ125_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1256,f963,f749,f436]) ).
fof(f1281,plain,
( ~ sQ42_spl
| sQ176_spl
| ~ sQ119_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f1258,f558,f697,f1153,f436]) ).
fof(f1283,plain,
( ~ sQ182_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1269,f105]) ).
fof(f1284,plain,
~ sQ182_spl,
inference(contradiction_clause,[status(thm)],[f1283]) ).
fof(f1285,plain,
( ~ sQ183_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1273,f101]) ).
fof(f1286,plain,
~ sQ183_spl,
inference(contradiction_clause,[status(thm)],[f1285]) ).
fof(f1287,plain,
( ~ sQ46_spl
| ~ sQ41_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f434,f996]) ).
fof(f1288,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f434,f144]) ).
fof(f1289,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f434,f142]) ).
fof(f1290,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f434,f142]) ).
fof(f1293,plain,
( ~ sQ41_spl
| equalish(e_2,e_2)
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f434,f148]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f434,f122]) ).
fof(f1296,plain,
( ~ sQ41_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f434,f146]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,e_2)
| ~ product(e_5,e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f434,f136]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f434,f136]) ).
fof(f1300,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f434,f120]) ).
fof(f1301,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f434,f118]) ).
fof(f1302,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,e_2)
| ~ product(e_5,e_2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f434,f127]) ).
fof(f1303,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(X1,e_2)
| ~ product(e_2,X0,X1)
| ~ product(e_5,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f434,f127]) ).
fof(f1305,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(e_2,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f434,f127]) ).
fof(f1307,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(X1,e_5)
| ~ product(X2,e_2,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f434,f127]) ).
fof(f1308,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f434,f125]) ).
fof(f1309,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,X1)
| ~ product(e_5,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f434,f125]) ).
fof(f1311,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(e_5,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f434,f125]) ).
fof(f1313,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f434,f125]) ).
fof(f1314,plain,
( ~ sQ46_spl
| ~ sQ41_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1287,f1020,f433,f449]) ).
fof(f1315,definition,
! [X0] :
( sQ184_spl
<=> ( ~ product(e_5,e_2,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1316,plain,
! [X0] :
( ~ sQ184_spl
| ~ product(e_5,e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f1315]) ).
fof(f1318,plain,
( ~ sQ41_spl
| sQ171_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1289,f1315,f1036,f433]) ).
fof(f1321,plain,
( ~ sQ41_spl
| sQ170_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f1293,f640,f1032,f433]) ).
fof(f1322,plain,
( ~ sQ41_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f1296,f1153,f433]) ).
fof(f1323,plain,
( ~ sQ41_spl
| sQ170_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1297,f1315,f1032,f433]) ).
fof(f1325,plain,
( ~ sQ41_spl
| sQ170_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1302,f1029,f1032,f433]) ).
fof(f1328,plain,
( ~ sQ41_spl
| sQ125_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1308,f1029,f749,f433]) ).
fof(f1331,plain,
( ~ sQ78_spl
| ~ sQ163_spl ),
inference(contradiction_clause,[status(thm)],[f979]) ).
fof(f1332,plain,
( ~ sQ79_spl
| ~ sQ163_spl ),
inference(contradiction_clause,[status(thm)],[f980]) ).
fof(f1333,plain,
( sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f396,f123]) ).
fof(f1334,plain,
sQ29_spl,
inference(contradiction_clause,[status(thm)],[f1333]) ).
fof(f1335,plain,
( ~ sQ3_spl
| equalish(e_3,e_0) ),
inference(resolution,[status(thm)],[f199,f183]) ).
fof(f1336,plain,
! [X0,X1] :
( ~ sQ3_spl
| equalish(X0,X1)
| ~ next(e_5,X1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f199,f278]) ).
fof(f1337,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_5,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f199,f271]) ).
fof(f1338,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_3)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f199,f81]) ).
fof(f1339,plain,
( ~ sQ2_spl
| equalish(e_2,e_0) ),
inference(resolution,[status(thm)],[f196,f183]) ).
fof(f1340,plain,
! [X0,X1] :
( ~ sQ2_spl
| equalish(X0,X1)
| ~ next(e_5,X1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f196,f279]) ).
fof(f1341,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_5,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f196,f272]) ).
fof(f1342,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_2)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f196,f81]) ).
fof(f1343,plain,
( ~ sQ1_spl
| equalish(e_1,e_0) ),
inference(resolution,[status(thm)],[f193,f183]) ).
fof(f1344,plain,
! [X0,X1] :
( ~ sQ1_spl
| equalish(X0,X1)
| ~ next(e_5,X1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f193,f280]) ).
fof(f1345,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_5,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f193,f273]) ).
fof(f1346,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_1)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f193,f81]) ).
fof(f1347,plain,
( ~ sQ166_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f1015,f123]) ).
fof(f1348,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ greater(X1,X2)
| ~ greater(e_3,X0)
| ~ cycle(e_4,X2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f306,f63]) ).
fof(f1350,plain,
( ~ sQ172_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f1088,f123]) ).
fof(f1352,plain,
( ~ sQ42_spl
| ~ sQ40_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f431,f1249]) ).
fof(f1353,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f431,f144]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f431,f142]) ).
fof(f1355,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f431,f142]) ).
fof(f1356,plain,
( ~ sQ40_spl
| equalish(e_5,e_2)
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f431,f167]) ).
fof(f1357,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f431,f140]) ).
fof(f1358,plain,
( ~ sQ40_spl
| equalish(e_1,e_2)
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f431,f148]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f431,f138]) ).
fof(f1360,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f431,f122]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,e_1)
| ~ product(e_5,e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f431,f136]) ).
fof(f1362,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f431,f136]) ).
fof(f1363,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f431,f134]) ).
fof(f1364,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f431,f120]) ).
fof(f1365,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f431,f118]) ).
fof(f1366,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,e_1)
| ~ product(e_5,e_1,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f431,f127]) ).
fof(f1367,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(X1,e_1)
| ~ product(e_2,X0,X1)
| ~ product(e_5,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f431,f127]) ).
fof(f1368,plain,
( ~ sQ40_spl
| equalish(e_1,e_5)
| ~ product(e_2,e_2,e_5)
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f431,f127]) ).
fof(f1369,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(e_1,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f431,f127]) ).
fof(f1371,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(X1,e_5)
| ~ product(X2,e_2,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f431,f127]) ).
fof(f1372,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_1,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f431,f125]) ).
fof(f1373,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,X1)
| ~ product(e_5,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f431,f125]) ).
fof(f1374,plain,
( ~ sQ40_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_2,e_5)
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f431,f125]) ).
fof(f1375,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(e_5,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f431,f125]) ).
fof(f1377,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f431,f125]) ).
fof(f1378,plain,
( ~ sQ42_spl
| ~ sQ40_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1352,f958,f430,f436]) ).
fof(f1379,definition,
! [X0] :
( sQ185_spl
<=> ( ~ product(e_5,e_1,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1380,plain,
! [X0] :
( ~ sQ185_spl
| ~ product(e_5,e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f1379]) ).
fof(f1382,plain,
( ~ sQ40_spl
| sQ171_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1354,f1379,f1036,f430]) ).
fof(f1383,plain,
( ~ sQ40_spl
| sQ176_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f1356,f780,f1153,f430]) ).
fof(f1384,plain,
( ~ sQ40_spl
| sQ176_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1357,f1379,f1153,f430]) ).
fof(f1385,plain,
( ~ sQ40_spl
| sQ168_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f1358,f780,f1024,f430]) ).
fof(f1386,plain,
( ~ sQ40_spl
| sQ167_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1361,f1379,f1020,f430]) ).
fof(f1387,plain,
( ~ sQ40_spl
| sQ168_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1363,f1379,f1024,f430]) ).
fof(f1388,plain,
( ~ sQ40_spl
| sQ173_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1366,f1100,f1093,f430]) ).
fof(f1389,plain,
( ~ sQ40_spl
| sQ127_spl
| ~ sQ119_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f1368,f777,f697,f757,f430]) ).
fof(f1391,plain,
( ~ sQ40_spl
| sQ125_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1372,f1100,f749,f430]) ).
fof(f1392,plain,
( ~ sQ40_spl
| sQ176_spl
| ~ sQ119_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f1374,f777,f697,f1153,f430]) ).
fof(f1394,plain,
( ~ sQ39_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f427,f144]) ).
fof(f1395,plain,
! [X0,X1] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f427,f144]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f427,f144]) ).
fof(f1400,plain,
( ~ sQ39_spl
| equalish(e_5,e_3)
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f427,f167]) ).
fof(f1401,plain,
( ~ sQ39_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f427,f160]) ).
fof(f1402,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f427,f140]) ).
fof(f1405,plain,
! [X0,X1] :
( ~ sQ39_spl
| equalish(X1,e_5)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f427,f138]) ).
fof(f1408,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f427,f122]) ).
fof(f1409,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f427,f136]) ).
fof(f1410,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f427,f136]) ).
fof(f1412,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f427,f120]) ).
fof(f1413,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f427,f118]) ).
fof(f1414,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f427,f127]) ).
fof(f1415,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(X1,e_5)
| ~ product(e_3,X0,X1)
| ~ product(e_5,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f427,f127]) ).
fof(f1417,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(e_5,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f427,f127]) ).
fof(f1419,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(X1,e_5)
| ~ product(X2,e_3,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f427,f127]) ).
fof(f1421,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,X1)
| ~ product(e_5,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f427,f125]) ).
fof(f1422,plain,
( ~ sQ39_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_3,e_5)
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f427,f125]) ).
fof(f1423,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(e_5,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f427,f125]) ).
fof(f1425,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f427,f125]) ).
fof(f1426,plain,
( ~ sQ39_spl
| sQ125_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1394,f394,f749,f426]) ).
fof(f1428,definition,
! [X0] :
( sQ186_spl
<=> ( ~ product(e_5,e_5,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1429,plain,
! [X0] :
( ~ sQ186_spl
| ~ product(e_5,e_5,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f1428]) ).
fof(f1432,definition,
( sQ187_spl
<=> equalish(e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1433,plain,
( ~ sQ187_spl
| equalish(e_5,e_3) ),
inference(component_clause,[status(thm)],[f1432]) ).
fof(f1435,plain,
( ~ sQ39_spl
| sQ187_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1400,f388,f1432,f426]) ).
fof(f1436,plain,
( ~ sQ39_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f1401,f970,f426]) ).
fof(f1437,plain,
( ~ sQ39_spl
| sQ187_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1402,f1428,f1432,f426]) ).
fof(f1441,plain,
( ~ sQ39_spl
| sQ165_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1409,f1428,f970,f426]) ).
fof(f1443,plain,
( ~ sQ39_spl
| sQ125_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1414,f1164,f749,f426]) ).
fof(f1447,plain,
( ~ sQ39_spl
| sQ187_spl
| ~ sQ89_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1422,f394,f596,f1432,f426]) ).
fof(f1449,plain,
( ~ sQ187_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1433,f114]) ).
fof(f1450,plain,
~ sQ187_spl,
inference(contradiction_clause,[status(thm)],[f1449]) ).
fof(f1451,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f424,f144]) ).
fof(f1452,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f424,f142]) ).
fof(f1453,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f424,f142]) ).
fof(f1454,plain,
( ~ sQ38_spl
| equalish(e_5,e_3)
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f424,f167]) ).
fof(f1455,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f424,f140]) ).
fof(f1456,plain,
( ~ sQ38_spl
| equalish(e_4,e_3)
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f424,f148]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f424,f138]) ).
fof(f1458,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f424,f122]) ).
fof(f1459,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,e_4)
| ~ product(e_5,e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f424,f136]) ).
fof(f1460,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f424,f136]) ).
fof(f1461,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f424,f134]) ).
fof(f1462,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f424,f120]) ).
fof(f1463,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f424,f118]) ).
fof(f1464,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,e_4)
| ~ product(e_5,e_4,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f424,f127]) ).
fof(f1465,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(X1,e_4)
| ~ product(e_3,X0,X1)
| ~ product(e_5,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f424,f127]) ).
fof(f1466,plain,
( ~ sQ38_spl
| equalish(e_4,e_5)
| ~ product(e_3,e_3,e_5)
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f424,f127]) ).
fof(f1467,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(e_4,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f424,f127]) ).
fof(f1469,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(X1,e_5)
| ~ product(X2,e_3,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f424,f127]) ).
fof(f1470,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_4,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f424,f125]) ).
fof(f1471,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,X1)
| ~ product(e_5,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f424,f125]) ).
fof(f1472,plain,
( ~ sQ38_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_3,e_5)
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f424,f125]) ).
fof(f1473,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(e_5,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f424,f125]) ).
fof(f1475,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f424,f125]) ).
fof(f1476,definition,
! [X0] :
( sQ188_spl
<=> ( ~ product(e_5,e_4,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1477,plain,
! [X0] :
( ~ sQ188_spl
| ~ product(e_5,e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f1476]) ).
fof(f1479,plain,
( ~ sQ38_spl
| sQ165_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1452,f1476,f970,f423]) ).
fof(f1480,plain,
( ~ sQ38_spl
| sQ187_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1454,f473,f1432,f423]) ).
fof(f1481,plain,
( ~ sQ38_spl
| sQ187_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1455,f1476,f1432,f423]) ).
fof(f1482,definition,
( sQ189_spl
<=> equalish(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1483,plain,
( ~ sQ189_spl
| equalish(e_4,e_3) ),
inference(component_clause,[status(thm)],[f1482]) ).
fof(f1485,plain,
( ~ sQ38_spl
| sQ189_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1456,f473,f1482,f423]) ).
fof(f1486,definition,
( sQ190_spl
<=> equalish(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1487,plain,
( ~ sQ190_spl
| equalish(e_3,e_4) ),
inference(component_clause,[status(thm)],[f1486]) ).
fof(f1489,plain,
( ~ sQ38_spl
| sQ190_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1459,f1476,f1486,f423]) ).
fof(f1490,plain,
( ~ sQ38_spl
| sQ189_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1461,f1476,f1482,f423]) ).
fof(f1491,plain,
( ~ sQ38_spl
| sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1464,f897,f900,f423]) ).
fof(f1492,plain,
( ~ sQ38_spl
| sQ159_spl
| ~ sQ89_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1466,f476,f596,f904,f423]) ).
fof(f1494,plain,
( ~ sQ38_spl
| sQ125_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1470,f897,f749,f423]) ).
fof(f1495,plain,
( ~ sQ38_spl
| sQ187_spl
| ~ sQ89_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1472,f476,f596,f1432,f423]) ).
fof(f1497,plain,
( ~ sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1483,f110]) ).
fof(f1498,plain,
~ sQ189_spl,
inference(contradiction_clause,[status(thm)],[f1497]) ).
fof(f1499,plain,
( ~ sQ190_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1487,f106]) ).
fof(f1500,plain,
~ sQ190_spl,
inference(contradiction_clause,[status(thm)],[f1499]) ).
fof(f1501,plain,
( ~ sQ5_spl
| ~ sQ9_spl
| equalish(e_0,e_4) ),
inference(resolution,[status(thm)],[f308,f206]) ).
fof(f1502,plain,
( ~ sQ6_spl
| ~ sQ9_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f308,f209]) ).
fof(f1503,plain,
( ~ sQ7_spl
| ~ sQ9_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f308,f212]) ).
fof(f1504,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f308,f215]) ).
fof(f1506,plain,
( ~ sQ6_spl
| ~ sQ9_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1502,f892,f217,f208]) ).
fof(f1507,plain,
( ~ sQ7_spl
| ~ sQ9_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1503,f1214,f217,f211]) ).
fof(f1508,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1504,f1486,f217,f214]) ).
fof(f1509,plain,
( ~ sQ175_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f1150,f123]) ).
fof(f1510,plain,
( ~ sQ178_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1205,f123]) ).
fof(f1511,plain,
( ~ sQ181_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f1263,f123]) ).
fof(f1512,plain,
( ~ sQ184_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f1316,f123]) ).
fof(f1513,plain,
( ~ sQ42_spl
| ~ sQ37_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f421,f1244]) ).
fof(f1514,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f421,f144]) ).
fof(f1515,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f421,f142]) ).
fof(f1516,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f421,f142]) ).
fof(f1519,plain,
( ~ sQ37_spl
| equalish(e_3,e_3)
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f421,f148]) ).
fof(f1521,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f421,f122]) ).
fof(f1522,plain,
( ~ sQ37_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f421,f146]) ).
fof(f1523,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,e_3)
| ~ product(e_5,e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f421,f136]) ).
fof(f1524,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f421,f136]) ).
fof(f1526,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f421,f120]) ).
fof(f1527,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f421,f118]) ).
fof(f1528,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,e_3)
| ~ product(e_5,e_3,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f421,f127]) ).
fof(f1529,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(X1,e_3)
| ~ product(e_3,X0,X1)
| ~ product(e_5,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f421,f127]) ).
fof(f1531,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(e_3,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f421,f127]) ).
fof(f1533,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(X1,e_5)
| ~ product(X2,e_3,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f421,f127]) ).
fof(f1534,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_3,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f421,f125]) ).
fof(f1535,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,X1)
| ~ product(e_5,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f421,f125]) ).
fof(f1537,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(e_5,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f421,f125]) ).
fof(f1539,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f421,f125]) ).
fof(f1540,plain,
( ~ sQ42_spl
| ~ sQ37_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1513,f1268,f420,f436]) ).
fof(f1541,definition,
! [X0] :
( sQ191_spl
<=> ( ~ product(e_5,e_3,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1542,plain,
! [X0] :
( ~ sQ191_spl
| ~ product(e_5,e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f1541]) ).
fof(f1544,plain,
( ~ sQ37_spl
| sQ165_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1515,f1541,f970,f420]) ).
fof(f1547,plain,
( ~ sQ37_spl
| sQ164_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f1519,f558,f966,f420]) ).
fof(f1548,plain,
( ~ sQ37_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1522,f1432,f420]) ).
fof(f1549,plain,
( ~ sQ37_spl
| sQ164_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1523,f1541,f966,f420]) ).
fof(f1551,plain,
( ~ sQ37_spl
| sQ164_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1528,f963,f966,f420]) ).
fof(f1554,plain,
( ~ sQ37_spl
| sQ125_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1534,f963,f749,f420]) ).
fof(f1557,plain,
( ~ sQ131_spl
| ~ sQ174_spl ),
inference(contradiction_clause,[status(thm)],[f1110]) ).
fof(f1558,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f418,f996]) ).
fof(f1559,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f418,f144]) ).
fof(f1560,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f418,f142]) ).
fof(f1561,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f418,f142]) ).
fof(f1562,plain,
( ~ sQ36_spl
| equalish(e_5,e_3)
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f418,f167]) ).
fof(f1563,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f418,f140]) ).
fof(f1564,plain,
( ~ sQ36_spl
| equalish(e_2,e_3)
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f418,f148]) ).
fof(f1565,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f418,f138]) ).
fof(f1566,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f418,f122]) ).
fof(f1567,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,e_2)
| ~ product(e_5,e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f418,f136]) ).
fof(f1568,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f418,f136]) ).
fof(f1569,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f418,f134]) ).
fof(f1570,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f418,f120]) ).
fof(f1571,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f418,f118]) ).
fof(f1572,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,e_2)
| ~ product(e_5,e_2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f418,f127]) ).
fof(f1573,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(X1,e_2)
| ~ product(e_3,X0,X1)
| ~ product(e_5,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f418,f127]) ).
fof(f1574,plain,
( ~ sQ36_spl
| equalish(e_2,e_5)
| ~ product(e_3,e_3,e_5)
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f418,f127]) ).
fof(f1575,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(e_2,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f418,f127]) ).
fof(f1577,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(X1,e_5)
| ~ product(X2,e_3,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f418,f127]) ).
fof(f1578,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f418,f125]) ).
fof(f1579,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,X1)
| ~ product(e_5,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f418,f125]) ).
fof(f1580,plain,
( ~ sQ36_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_3,e_5)
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f418,f125]) ).
fof(f1581,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(e_5,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f418,f125]) ).
fof(f1583,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f418,f125]) ).
fof(f1584,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f1558,f954,f417,f449]) ).
fof(f1585,definition,
! [X0] :
( sQ192_spl
<=> ( ~ product(e_5,e_2,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1586,plain,
! [X0] :
( ~ sQ192_spl
| ~ product(e_5,e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f1585]) ).
fof(f1588,plain,
( ~ sQ36_spl
| sQ165_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1560,f1585,f970,f417]) ).
fof(f1589,plain,
( ~ sQ36_spl
| sQ187_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f1562,f643,f1432,f417]) ).
fof(f1590,plain,
( ~ sQ36_spl
| sQ187_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1563,f1585,f1432,f417]) ).
fof(f1591,plain,
( ~ sQ36_spl
| sQ183_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f1564,f643,f1272,f417]) ).
fof(f1592,plain,
( ~ sQ36_spl
| sQ182_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1567,f1585,f1268,f417]) ).
fof(f1593,plain,
( ~ sQ36_spl
| sQ183_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1569,f1585,f1272,f417]) ).
fof(f1594,plain,
( ~ sQ36_spl
| sQ170_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1572,f1029,f1032,f417]) ).
fof(f1595,plain,
( ~ sQ36_spl
| sQ171_spl
| ~ sQ89_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f1574,f640,f596,f1036,f417]) ).
fof(f1597,plain,
( ~ sQ36_spl
| sQ125_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1578,f1029,f749,f417]) ).
fof(f1598,plain,
( ~ sQ36_spl
| sQ187_spl
| ~ sQ89_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f1580,f640,f596,f1432,f417]) ).
fof(f1600,plain,
( ~ sQ54_spl
| ~ sQ157_spl ),
inference(contradiction_clause,[status(thm)],[f914]) ).
fof(f1601,plain,
( ~ sQ53_spl
| ~ sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f477,f915]) ).
fof(f1602,plain,
( ~ sQ53_spl
| ~ sQ157_spl ),
inference(contradiction_clause,[status(thm)],[f1601]) ).
fof(f1603,plain,
( ~ sQ50_spl
| ~ sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f468,f915]) ).
fof(f1604,plain,
( ~ sQ50_spl
| ~ sQ157_spl ),
inference(contradiction_clause,[status(thm)],[f1603]) ).
fof(f1605,plain,
( ~ sQ178_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1510,f470,f1204]) ).
fof(f1606,plain,
( ~ sQ50_spl
| ~ sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f468,f1058]) ).
fof(f1607,plain,
( ~ sQ50_spl
| ~ sQ154_spl ),
inference(contradiction_clause,[status(thm)],[f1606]) ).
fof(f1608,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f415,f144]) ).
fof(f1609,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f415,f142]) ).
fof(f1610,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f415,f142]) ).
fof(f1611,plain,
( ~ sQ35_spl
| equalish(e_5,e_3)
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f415,f167]) ).
fof(f1612,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f415,f140]) ).
fof(f1613,plain,
( ~ sQ35_spl
| equalish(e_1,e_3)
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f415,f148]) ).
fof(f1614,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f415,f138]) ).
fof(f1615,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f415,f122]) ).
fof(f1616,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_3,e_1)
| ~ product(e_5,e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f415,f136]) ).
fof(f1617,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f415,f136]) ).
fof(f1618,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f415,f134]) ).
fof(f1619,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f415,f120]) ).
fof(f1620,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f415,f118]) ).
fof(f1621,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,e_1)
| ~ product(e_5,e_1,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f415,f127]) ).
fof(f1622,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(X1,e_1)
| ~ product(e_3,X0,X1)
| ~ product(e_5,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f415,f127]) ).
fof(f1623,plain,
( ~ sQ35_spl
| equalish(e_1,e_5)
| ~ product(e_3,e_3,e_5)
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f415,f127]) ).
fof(f1624,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(e_1,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f415,f127]) ).
fof(f1626,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(X1,e_5)
| ~ product(X2,e_3,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f415,f127]) ).
fof(f1627,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_1,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f415,f125]) ).
fof(f1628,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,X1)
| ~ product(e_5,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f415,f125]) ).
fof(f1629,plain,
( ~ sQ35_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_3,e_5)
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f415,f125]) ).
fof(f1630,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(e_5,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f415,f125]) ).
fof(f1632,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f415,f125]) ).
fof(f1633,definition,
! [X0] :
( sQ193_spl
<=> ( ~ product(e_5,e_1,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1634,plain,
! [X0] :
( ~ sQ193_spl
| ~ product(e_5,e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f1633]) ).
fof(f1636,plain,
( ~ sQ35_spl
| sQ165_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1609,f1633,f970,f414]) ).
fof(f1637,plain,
( ~ sQ35_spl
| sQ187_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f1611,f783,f1432,f414]) ).
fof(f1638,plain,
( ~ sQ35_spl
| sQ187_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1612,f1633,f1432,f414]) ).
fof(f1639,plain,
( ~ sQ35_spl
| sQ162_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f1613,f783,f958,f414]) ).
fof(f1640,plain,
( ~ sQ35_spl
| sQ161_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1616,f1633,f954,f414]) ).
fof(f1641,plain,
( ~ sQ35_spl
| sQ162_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1618,f1633,f958,f414]) ).
fof(f1642,plain,
( ~ sQ35_spl
| sQ173_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1621,f1100,f1093,f414]) ).
fof(f1643,plain,
( ~ sQ35_spl
| sQ127_spl
| ~ sQ89_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f1623,f777,f596,f757,f414]) ).
fof(f1645,plain,
( ~ sQ35_spl
| sQ125_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1627,f1100,f749,f414]) ).
fof(f1646,plain,
( ~ sQ35_spl
| sQ187_spl
| ~ sQ89_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f1629,f777,f596,f1432,f414]) ).
fof(f1648,plain,
( ~ sQ132_spl
| ~ sQ174_spl ),
inference(contradiction_clause,[status(thm)],[f1111]) ).
fof(f1649,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ greater(X1,X2)
| ~ greater(e_4,X0)
| ~ cycle(e_5,X2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f313,f64]) ).
fof(f1651,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f316,f193]) ).
fof(f1652,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f316,f196]) ).
fof(f1653,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f316,f199]) ).
fof(f1655,plain,
( ~ sQ4_spl
| equalish(e_0,e_4) ),
inference(resolution,[status(thm)],[f316,f83]) ).
fof(f1656,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1651,f892,f201,f192]) ).
fof(f1657,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1652,f1214,f201,f195]) ).
fof(f1658,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1653,f1486,f201,f198]) ).
fof(f1659,plain,
( ~ sQ185_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f1380,f123]) ).
fof(f1660,plain,
( ~ sQ186_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f1429,f123]) ).
fof(f1661,plain,
( ~ sQ35_spl
| ~ sQ40_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1360,f415]) ).
fof(f1662,plain,
( ~ sQ35_spl
| ~ sQ40_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1661,f1268,f430,f414]) ).
fof(f1664,plain,
( ~ sQ191_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f1542,f123]) ).
fof(f1665,plain,
( ~ sQ192_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f1586,f123]) ).
fof(f1666,plain,
( ~ sQ34_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f411,f144]) ).
fof(f1667,plain,
! [X0,X1] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f411,f144]) ).
fof(f1669,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f411,f144]) ).
fof(f1672,plain,
( ~ sQ34_spl
| equalish(e_5,e_4)
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f411,f167]) ).
fof(f1673,plain,
( ~ sQ34_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f411,f160]) ).
fof(f1674,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f411,f140]) ).
fof(f1677,plain,
! [X0,X1] :
( ~ sQ34_spl
| equalish(X1,e_5)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f411,f138]) ).
fof(f1680,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f411,f122]) ).
fof(f1681,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f411,f136]) ).
fof(f1682,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f411,f136]) ).
fof(f1684,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f411,f120]) ).
fof(f1685,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f411,f118]) ).
fof(f1686,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f411,f127]) ).
fof(f1687,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(X1,e_5)
| ~ product(e_4,X0,X1)
| ~ product(e_5,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f411,f127]) ).
fof(f1689,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(e_5,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f411,f127]) ).
fof(f1691,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(X1,e_5)
| ~ product(X2,e_4,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f411,f127]) ).
fof(f1693,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,X1)
| ~ product(e_5,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f411,f125]) ).
fof(f1694,plain,
( ~ sQ34_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_4,e_5)
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f411,f125]) ).
fof(f1695,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(e_5,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f411,f125]) ).
fof(f1697,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f411,f125]) ).
fof(f1698,plain,
( ~ sQ34_spl
| sQ125_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1666,f394,f749,f410]) ).
fof(f1700,definition,
! [X0] :
( sQ194_spl
<=> ( ~ product(e_5,e_5,X0)
| ~ product(e_4,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1701,plain,
! [X0] :
( ~ sQ194_spl
| ~ product(e_5,e_5,X0)
| ~ product(e_4,e_4,X0) ),
inference(component_clause,[status(thm)],[f1700]) ).
fof(f1704,definition,
( sQ195_spl
<=> equalish(e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1705,plain,
( ~ sQ195_spl
| equalish(e_5,e_4) ),
inference(component_clause,[status(thm)],[f1704]) ).
fof(f1707,plain,
( ~ sQ34_spl
| sQ195_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1672,f391,f1704,f410]) ).
fof(f1708,plain,
( ~ sQ34_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1673,f904,f410]) ).
fof(f1709,plain,
( ~ sQ34_spl
| sQ195_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1674,f1700,f1704,f410]) ).
fof(f1713,plain,
( ~ sQ34_spl
| sQ159_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1681,f1700,f904,f410]) ).
fof(f1715,plain,
( ~ sQ34_spl
| sQ125_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1686,f1164,f749,f410]) ).
fof(f1719,plain,
( ~ sQ34_spl
| sQ195_spl
| ~ sQ59_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1694,f394,f495,f1704,f410]) ).
fof(f1721,plain,
( ~ sQ195_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1705,f115]) ).
fof(f1722,plain,
~ sQ195_spl,
inference(contradiction_clause,[status(thm)],[f1721]) ).
fof(f1723,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f408,f144]) ).
fof(f1724,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f408,f142]) ).
fof(f1725,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f408,f142]) ).
fof(f1728,plain,
( ~ sQ33_spl
| equalish(e_4,e_4)
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f408,f148]) ).
fof(f1730,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f408,f122]) ).
fof(f1731,plain,
( ~ sQ33_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f408,f146]) ).
fof(f1732,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_4,e_4)
| ~ product(e_5,e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f408,f136]) ).
fof(f1733,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f408,f136]) ).
fof(f1735,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f408,f120]) ).
fof(f1736,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f408,f118]) ).
fof(f1737,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_4,e_4)
| ~ product(e_5,e_4,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f408,f127]) ).
fof(f1738,plain,
! [X0,X1,X2] :
( ~ sQ33_spl
| equalish(X1,e_4)
| ~ product(e_4,X0,X1)
| ~ product(e_5,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f408,f127]) ).
fof(f1740,plain,
! [X0,X1,X2] :
( ~ sQ33_spl
| equalish(e_4,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f408,f127]) ).
fof(f1742,plain,
! [X0,X1,X2] :
( ~ sQ33_spl
| equalish(X1,e_5)
| ~ product(X2,e_4,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f408,f127]) ).
fof(f1743,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_4,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f408,f125]) ).
fof(f1744,plain,
! [X0,X1,X2] :
( ~ sQ33_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,X1)
| ~ product(e_5,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f408,f125]) ).
fof(f1746,plain,
! [X0,X1,X2] :
( ~ sQ33_spl
| equalish(e_5,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f408,f125]) ).
fof(f1748,plain,
! [X0,X1,X2] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f408,f125]) ).
fof(f1749,definition,
! [X0] :
( sQ196_spl
<=> ( ~ product(e_5,e_4,X0)
| ~ product(e_4,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1750,plain,
! [X0] :
( ~ sQ196_spl
| ~ product(e_5,e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(component_clause,[status(thm)],[f1749]) ).
fof(f1752,plain,
( ~ sQ33_spl
| sQ159_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f1724,f1749,f904,f407]) ).
fof(f1755,plain,
( ~ sQ33_spl
| sQ158_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1728,f476,f900,f407]) ).
fof(f1756,plain,
( ~ sQ33_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1731,f1704,f407]) ).
fof(f1757,plain,
( ~ sQ33_spl
| sQ158_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f1732,f1749,f900,f407]) ).
fof(f1759,plain,
( ~ sQ33_spl
| sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1737,f897,f900,f407]) ).
fof(f1762,plain,
( ~ sQ33_spl
| sQ125_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1743,f897,f749,f407]) ).
fof(f1765,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f405,f144]) ).
fof(f1766,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f405,f142]) ).
fof(f1767,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f405,f142]) ).
fof(f1768,plain,
( ~ sQ32_spl
| equalish(e_5,e_4)
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f405,f167]) ).
fof(f1769,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f405,f140]) ).
fof(f1770,plain,
( ~ sQ32_spl
| equalish(e_3,e_4)
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f405,f148]) ).
fof(f1771,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f405,f138]) ).
fof(f1772,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f405,f122]) ).
fof(f1773,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,e_3)
| ~ product(e_5,e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f405,f136]) ).
fof(f1774,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f405,f136]) ).
fof(f1775,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f405,f134]) ).
fof(f1776,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f405,f120]) ).
fof(f1777,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f405,f118]) ).
fof(f1778,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_3,e_3)
| ~ product(e_5,e_3,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f405,f127]) ).
fof(f1779,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(X1,e_3)
| ~ product(e_4,X0,X1)
| ~ product(e_5,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f405,f127]) ).
fof(f1780,plain,
( ~ sQ32_spl
| equalish(e_3,e_5)
| ~ product(e_4,e_4,e_5)
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f405,f127]) ).
fof(f1781,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(e_3,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f405,f127]) ).
fof(f1783,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(X1,e_5)
| ~ product(X2,e_4,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f405,f127]) ).
fof(f1784,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_3,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f405,f125]) ).
fof(f1785,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,X1)
| ~ product(e_5,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f405,f125]) ).
fof(f1786,plain,
( ~ sQ32_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_4,e_5)
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f405,f125]) ).
fof(f1787,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(e_5,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f405,f125]) ).
fof(f1789,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f405,f125]) ).
fof(f1790,definition,
! [X0] :
( sQ197_spl
<=> ( ~ product(e_5,e_3,X0)
| ~ product(e_4,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1791,plain,
! [X0] :
( ~ sQ197_spl
| ~ product(e_5,e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(component_clause,[status(thm)],[f1790]) ).
fof(f1793,plain,
( ~ sQ32_spl
| sQ159_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1766,f1790,f904,f404]) ).
fof(f1794,plain,
( ~ sQ32_spl
| sQ195_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f1768,f561,f1704,f404]) ).
fof(f1795,plain,
( ~ sQ32_spl
| sQ195_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1769,f1790,f1704,f404]) ).
fof(f1796,plain,
( ~ sQ32_spl
| sQ190_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f1770,f561,f1486,f404]) ).
fof(f1797,plain,
( ~ sQ32_spl
| sQ189_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1773,f1790,f1482,f404]) ).
fof(f1798,plain,
( ~ sQ32_spl
| sQ190_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1775,f1790,f1486,f404]) ).
fof(f1799,plain,
( ~ sQ32_spl
| sQ164_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1778,f963,f966,f404]) ).
fof(f1800,plain,
( ~ sQ32_spl
| sQ165_spl
| ~ sQ59_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f1780,f558,f495,f970,f404]) ).
fof(f1802,plain,
( ~ sQ32_spl
| sQ125_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1784,f963,f749,f404]) ).
fof(f1803,plain,
( ~ sQ32_spl
| sQ195_spl
| ~ sQ59_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f1786,f558,f495,f1704,f404]) ).
fof(f1805,plain,
( ~ sQ75_spl
| ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f553,f1059]) ).
fof(f1806,plain,
( ~ sQ75_spl
| ~ sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f1805]) ).
fof(f1807,plain,
( ~ sQ46_spl
| ~ sQ31_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f402,f996]) ).
fof(f1808,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f402,f144]) ).
fof(f1809,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f402,f142]) ).
fof(f1810,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f402,f142]) ).
fof(f1811,plain,
( ~ sQ31_spl
| equalish(e_5,e_4)
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f402,f167]) ).
fof(f1812,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f402,f140]) ).
fof(f1813,plain,
( ~ sQ31_spl
| equalish(e_2,e_4)
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f402,f148]) ).
fof(f1814,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f402,f138]) ).
fof(f1815,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f402,f122]) ).
fof(f1816,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,e_2)
| ~ product(e_5,e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f402,f136]) ).
fof(f1817,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f402,f136]) ).
fof(f1818,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f402,f134]) ).
fof(f1819,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f402,f120]) ).
fof(f1820,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f402,f118]) ).
fof(f1821,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,e_2)
| ~ product(e_5,e_2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f402,f127]) ).
fof(f1822,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(X1,e_2)
| ~ product(e_4,X0,X1)
| ~ product(e_5,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f402,f127]) ).
fof(f1823,plain,
( ~ sQ31_spl
| equalish(e_2,e_5)
| ~ product(e_4,e_4,e_5)
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f402,f127]) ).
fof(f1824,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(e_2,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f402,f127]) ).
fof(f1826,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(X1,e_5)
| ~ product(X2,e_4,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f402,f127]) ).
fof(f1827,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f402,f125]) ).
fof(f1828,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,X1)
| ~ product(e_5,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f402,f125]) ).
fof(f1829,plain,
( ~ sQ31_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_4,e_5)
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f402,f125]) ).
fof(f1830,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(e_5,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f402,f125]) ).
fof(f1832,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f402,f125]) ).
fof(f1833,plain,
( ~ sQ46_spl
| ~ sQ31_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f1807,f888,f401,f449]) ).
fof(f1834,definition,
! [X0] :
( sQ198_spl
<=> ( ~ product(e_5,e_2,X0)
| ~ product(e_4,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1835,plain,
! [X0] :
( ~ sQ198_spl
| ~ product(e_5,e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(component_clause,[status(thm)],[f1834]) ).
fof(f1837,plain,
( ~ sQ31_spl
| sQ159_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1809,f1834,f904,f401]) ).
fof(f1838,plain,
( ~ sQ31_spl
| sQ195_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1811,f646,f1704,f401]) ).
fof(f1839,plain,
( ~ sQ31_spl
| sQ195_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1812,f1834,f1704,f401]) ).
fof(f1840,plain,
( ~ sQ31_spl
| sQ180_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1813,f646,f1214,f401]) ).
fof(f1841,plain,
( ~ sQ31_spl
| sQ179_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1816,f1834,f1210,f401]) ).
fof(f1842,plain,
( ~ sQ31_spl
| sQ180_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1818,f1834,f1214,f401]) ).
fof(f1843,plain,
( ~ sQ31_spl
| sQ170_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1821,f1029,f1032,f401]) ).
fof(f1844,plain,
( ~ sQ31_spl
| sQ171_spl
| ~ sQ59_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f1823,f640,f495,f1036,f401]) ).
fof(f1846,plain,
( ~ sQ31_spl
| sQ125_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1827,f1029,f749,f401]) ).
fof(f1847,plain,
( ~ sQ31_spl
| sQ195_spl
| ~ sQ59_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f1829,f640,f495,f1704,f401]) ).
fof(f1849,plain,
( ~ sQ184_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f1512,f640,f1315]) ).
fof(f1850,plain,
( ~ sQ104_spl
| ~ sQ169_spl ),
inference(contradiction_clause,[status(thm)],[f1046]) ).
fof(f1851,plain,
( ~ sQ35_spl
| ~ sQ30_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f399,f1615]) ).
fof(f1852,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f399,f144]) ).
fof(f1853,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f399,f142]) ).
fof(f1854,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f399,f142]) ).
fof(f1855,plain,
( ~ sQ30_spl
| equalish(e_5,e_4)
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f399,f167]) ).
fof(f1856,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f399,f140]) ).
fof(f1857,plain,
( ~ sQ30_spl
| equalish(e_1,e_4)
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f399,f148]) ).
fof(f1858,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f399,f138]) ).
fof(f1859,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f399,f122]) ).
fof(f1860,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,e_1)
| ~ product(e_5,e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f399,f136]) ).
fof(f1861,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f399,f136]) ).
fof(f1862,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f399,f134]) ).
fof(f1863,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f399,f120]) ).
fof(f1864,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f399,f118]) ).
fof(f1865,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,e_1)
| ~ product(e_5,e_1,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f399,f127]) ).
fof(f1866,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(X1,e_1)
| ~ product(e_4,X0,X1)
| ~ product(e_5,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f399,f127]) ).
fof(f1867,plain,
( ~ sQ30_spl
| equalish(e_1,e_5)
| ~ product(e_4,e_4,e_5)
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f399,f127]) ).
fof(f1868,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(e_1,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f399,f127]) ).
fof(f1870,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(X1,e_5)
| ~ product(X2,e_4,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f399,f127]) ).
fof(f1871,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_1,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f399,f125]) ).
fof(f1872,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,X1)
| ~ product(e_5,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f399,f125]) ).
fof(f1873,plain,
( ~ sQ30_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_4,e_5)
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f399,f125]) ).
fof(f1874,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(e_5,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f399,f125]) ).
fof(f1876,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_5)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f399,f125]) ).
fof(f1877,plain,
( ~ sQ35_spl
| ~ sQ30_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1851,f1482,f398,f414]) ).
fof(f1878,definition,
! [X0] :
( sQ199_spl
<=> ( ~ product(e_5,e_1,X0)
| ~ product(e_4,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1879,plain,
! [X0] :
( ~ sQ199_spl
| ~ product(e_5,e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(component_clause,[status(thm)],[f1878]) ).
fof(f1881,plain,
( ~ sQ30_spl
| sQ159_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1853,f1878,f904,f398]) ).
fof(f1882,plain,
( ~ sQ30_spl
| sQ195_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f1855,f786,f1704,f398]) ).
fof(f1883,plain,
( ~ sQ30_spl
| sQ195_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1856,f1878,f1704,f398]) ).
fof(f1884,plain,
( ~ sQ30_spl
| sQ156_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f1857,f786,f892,f398]) ).
fof(f1885,plain,
( ~ sQ30_spl
| sQ155_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1860,f1878,f888,f398]) ).
fof(f1886,plain,
( ~ sQ30_spl
| sQ156_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1862,f1878,f892,f398]) ).
fof(f1887,plain,
( ~ sQ30_spl
| sQ173_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1865,f1100,f1093,f398]) ).
fof(f1888,plain,
( ~ sQ30_spl
| sQ127_spl
| ~ sQ59_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f1867,f777,f495,f757,f398]) ).
fof(f1890,plain,
( ~ sQ30_spl
| sQ125_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1871,f1100,f749,f398]) ).
fof(f1891,plain,
( ~ sQ30_spl
| sQ195_spl
| ~ sQ59_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f1873,f777,f495,f1704,f398]) ).
fof(f1894,plain,
( ~ sQ193_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1634,f123]) ).
fof(f1895,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f544,f144]) ).
fof(f1896,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_5,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f544,f142]) ).
fof(f1897,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f544,f142]) ).
fof(f1898,plain,
( ~ sQ74_spl
| equalish(e_4,e_1)
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f544,f167]) ).
fof(f1899,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f544,f140]) ).
fof(f1900,plain,
( ~ sQ74_spl
| equalish(e_5,e_1)
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f544,f148]) ).
fof(f1901,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f544,f138]) ).
fof(f1902,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f544,f122]) ).
fof(f1903,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_1,e_5)
| ~ product(e_4,e_5,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f544,f136]) ).
fof(f1904,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f544,f136]) ).
fof(f1905,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f544,f134]) ).
fof(f1906,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f544,f120]) ).
fof(f1907,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f544,f118]) ).
fof(f1908,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,e_5)
| ~ product(e_4,e_5,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f544,f127]) ).
fof(f1909,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(X1,e_5)
| ~ product(e_1,X0,X1)
| ~ product(e_4,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f544,f127]) ).
fof(f1910,plain,
( ~ sQ74_spl
| equalish(e_5,e_4)
| ~ product(e_1,e_1,e_4)
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f544,f127]) ).
fof(f1911,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(e_5,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f544,f127]) ).
fof(f1913,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(X1,e_4)
| ~ product(X2,e_1,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f544,f127]) ).
fof(f1914,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_5,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f544,f125]) ).
fof(f1915,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,X1)
| ~ product(e_4,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f544,f125]) ).
fof(f1916,plain,
( ~ sQ74_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_1,e_4)
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f544,f125]) ).
fof(f1917,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(e_4,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f544,f125]) ).
fof(f1919,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f544,f125]) ).
fof(f1920,definition,
! [X0] :
( sQ200_spl
<=> ( ~ product(e_4,e_5,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1921,plain,
! [X0] :
( ~ sQ200_spl
| ~ product(e_4,e_5,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f1920]) ).
fof(f1923,plain,
( ~ sQ74_spl
| sQ156_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1896,f1920,f892,f543]) ).
fof(f1924,plain,
( ~ sQ74_spl
| sQ155_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1898,f398,f888,f543]) ).
fof(f1925,plain,
( ~ sQ74_spl
| sQ155_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1899,f1920,f888,f543]) ).
fof(f1926,plain,
( ~ sQ74_spl
| sQ128_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1900,f398,f761,f543]) ).
fof(f1927,plain,
( ~ sQ74_spl
| sQ127_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1903,f1920,f757,f543]) ).
fof(f1928,plain,
( ~ sQ74_spl
| sQ128_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1905,f1920,f761,f543]) ).
fof(f1929,definition,
! [X0] :
( sQ201_spl
<=> ( ~ product(e_4,e_5,X0)
| ~ product(e_4,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1930,plain,
! [X0] :
( ~ sQ201_spl
| ~ product(e_4,e_5,X0)
| ~ product(e_4,e_5,X0) ),
inference(component_clause,[status(thm)],[f1929]) ).
fof(f1932,plain,
( ~ sQ74_spl
| sQ125_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1908,f1929,f749,f543]) ).
fof(f1933,plain,
( ~ sQ74_spl
| sQ195_spl
| ~ sQ152_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1910,f410,f850,f1704,f543]) ).
fof(f1935,plain,
( ~ sQ74_spl
| sQ158_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1914,f1929,f900,f543]) ).
fof(f1936,plain,
( ~ sQ74_spl
| sQ155_spl
| ~ sQ152_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1916,f410,f850,f888,f543]) ).
fof(f1938,plain,
( ~ sQ30_spl
| ~ sQ201_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f399,f1939]) ).
fof(f1939,plain,
! [X0] :
( ~ sQ201_spl
| ~ product(e_4,e_5,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1930]) ).
fof(f1940,plain,
( ~ sQ30_spl
| ~ sQ201_spl ),
inference(contradiction_clause,[status(thm)],[f1938]) ).
fof(f1941,plain,
( ~ sQ73_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f541,f144]) ).
fof(f1942,plain,
! [X0,X1] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f541,f144]) ).
fof(f1944,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f541,f144]) ).
fof(f1947,plain,
( ~ sQ73_spl
| equalish(e_4,e_1)
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f541,f167]) ).
fof(f1948,plain,
( ~ sQ73_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f541,f160]) ).
fof(f1949,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f541,f140]) ).
fof(f1952,plain,
! [X0,X1] :
( ~ sQ73_spl
| equalish(X1,e_4)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f541,f138]) ).
fof(f1955,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f541,f122]) ).
fof(f1956,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f541,f136]) ).
fof(f1957,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f541,f136]) ).
fof(f1959,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f541,f120]) ).
fof(f1960,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f541,f118]) ).
fof(f1961,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f541,f127]) ).
fof(f1962,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(X1,e_4)
| ~ product(e_1,X0,X1)
| ~ product(e_4,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f541,f127]) ).
fof(f1964,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(e_4,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f541,f127]) ).
fof(f1966,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(X1,e_4)
| ~ product(X2,e_1,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f541,f127]) ).
fof(f1968,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,X1)
| ~ product(e_4,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f541,f125]) ).
fof(f1969,plain,
( ~ sQ73_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_1,e_4)
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f541,f125]) ).
fof(f1970,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(e_4,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f541,f125]) ).
fof(f1972,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f541,f125]) ).
fof(f1973,plain,
( ~ sQ73_spl
| sQ158_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1941,f492,f900,f540]) ).
fof(f1975,definition,
! [X0] :
( sQ202_spl
<=> ( ~ product(e_4,e_4,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1976,plain,
! [X0] :
( ~ sQ202_spl
| ~ product(e_4,e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f1975]) ).
fof(f1979,plain,
( ~ sQ73_spl
| sQ155_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1947,f483,f888,f540]) ).
fof(f1980,plain,
( ~ sQ73_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1948,f892,f540]) ).
fof(f1981,plain,
( ~ sQ73_spl
| sQ155_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1949,f1975,f888,f540]) ).
fof(f1985,plain,
( ~ sQ73_spl
| sQ156_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1956,f1975,f892,f540]) ).
fof(f1987,definition,
! [X0] :
( sQ203_spl
<=> ( ~ product(e_4,e_4,X0)
| ~ product(e_4,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1988,plain,
! [X0] :
( ~ sQ203_spl
| ~ product(e_4,e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(component_clause,[status(thm)],[f1987]) ).
fof(f1990,plain,
( ~ sQ73_spl
| sQ158_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f1961,f1987,f900,f540]) ).
fof(f1994,plain,
( ~ sQ73_spl
| sQ155_spl
| ~ sQ152_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1969,f492,f850,f888,f540]) ).
fof(f1997,plain,
( ~ sQ57_spl
| ~ sQ203_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f490,f1998]) ).
fof(f1998,plain,
! [X0] :
( ~ sQ203_spl
| ~ product(e_4,e_4,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1988]) ).
fof(f2000,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f538,f144]) ).
fof(f2001,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f538,f142]) ).
fof(f2002,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f538,f142]) ).
fof(f2003,plain,
( ~ sQ72_spl
| equalish(e_4,e_1)
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f538,f167]) ).
fof(f2004,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f538,f140]) ).
fof(f2005,plain,
( ~ sQ72_spl
| equalish(e_3,e_1)
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f538,f148]) ).
fof(f2006,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f538,f138]) ).
fof(f2007,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f538,f122]) ).
fof(f2008,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_1,e_3)
| ~ product(e_4,e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f538,f136]) ).
fof(f2009,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f538,f136]) ).
fof(f2010,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f538,f134]) ).
fof(f2011,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f538,f120]) ).
fof(f2012,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f538,f118]) ).
fof(f2013,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,e_3)
| ~ product(e_4,e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f538,f127]) ).
fof(f2014,plain,
! [X0,X1,X2] :
( ~ sQ72_spl
| equalish(X1,e_3)
| ~ product(e_1,X0,X1)
| ~ product(e_4,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f538,f127]) ).
fof(f2015,plain,
( ~ sQ72_spl
| equalish(e_3,e_4)
| ~ product(e_1,e_1,e_4)
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f538,f127]) ).
fof(f2016,plain,
! [X0,X1,X2] :
( ~ sQ72_spl
| equalish(e_3,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f538,f127]) ).
fof(f2018,plain,
! [X0,X1,X2] :
( ~ sQ72_spl
| equalish(X1,e_4)
| ~ product(X2,e_1,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f538,f127]) ).
fof(f2019,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f538,f125]) ).
fof(f2020,plain,
! [X0,X1,X2] :
( ~ sQ72_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,X1)
| ~ product(e_4,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f538,f125]) ).
fof(f2021,plain,
( ~ sQ72_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_1,e_4)
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f538,f125]) ).
fof(f2022,plain,
! [X0,X1,X2] :
( ~ sQ72_spl
| equalish(e_4,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f538,f125]) ).
fof(f2024,plain,
! [X0,X1,X2] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f538,f125]) ).
fof(f2025,definition,
! [X0] :
( sQ204_spl
<=> ( ~ product(e_4,e_3,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f2026,plain,
! [X0] :
( ~ sQ204_spl
| ~ product(e_4,e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f2025]) ).
fof(f2028,plain,
( ~ sQ72_spl
| sQ156_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f2001,f2025,f892,f537]) ).
fof(f2029,plain,
( ~ sQ72_spl
| sQ155_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f2003,f568,f888,f537]) ).
fof(f2030,plain,
( ~ sQ72_spl
| sQ155_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f2004,f2025,f888,f537]) ).
fof(f2031,plain,
( ~ sQ72_spl
| sQ161_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f2005,f568,f954,f537]) ).
fof(f2032,plain,
( ~ sQ72_spl
| sQ162_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f2008,f2025,f958,f537]) ).
fof(f2033,plain,
( ~ sQ72_spl
| sQ161_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f2010,f2025,f954,f537]) ).
fof(f2034,definition,
! [X0] :
( sQ205_spl
<=> ( ~ product(e_4,e_3,X0)
| ~ product(e_4,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f2035,plain,
! [X0] :
( ~ sQ205_spl
| ~ product(e_4,e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(component_clause,[status(thm)],[f2034]) ).
fof(f2037,plain,
( ~ sQ72_spl
| sQ164_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f2013,f2034,f966,f537]) ).
fof(f2038,plain,
( ~ sQ72_spl
| sQ190_spl
| ~ sQ152_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f2015,f574,f850,f1486,f537]) ).
fof(f2040,plain,
( ~ sQ72_spl
| sQ158_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f2019,f2034,f900,f537]) ).
fof(f2041,plain,
( ~ sQ72_spl
| sQ155_spl
| ~ sQ152_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f2021,f574,f850,f888,f537]) ).
fof(f2043,plain,
( ~ sQ81_spl
| ~ sQ205_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f572,f2046]) ).
fof(f2044,plain,
( ~ sQ83_spl
| ~ sQ205_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f578,f2046]) ).
fof(f2045,plain,
( ~ sQ84_spl
| ~ sQ205_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f581,f2046]) ).
fof(f2046,plain,
! [X0] :
( ~ sQ205_spl
| ~ product(e_4,e_3,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2035]) ).
fof(f2047,plain,
( ~ sQ81_spl
| ~ sQ205_spl ),
inference(contradiction_clause,[status(thm)],[f2043]) ).
fof(f2048,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f535,f1000]) ).
fof(f2049,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f535,f144]) ).
fof(f2050,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f535,f142]) ).
fof(f2051,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f535,f142]) ).
fof(f2052,plain,
( ~ sQ71_spl
| equalish(e_4,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f535,f167]) ).
fof(f2053,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f535,f140]) ).
fof(f2054,plain,
( ~ sQ71_spl
| equalish(e_2,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f535,f148]) ).
fof(f2055,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f535,f138]) ).
fof(f2056,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f535,f122]) ).
fof(f2057,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,e_2)
| ~ product(e_4,e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f535,f136]) ).
fof(f2058,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f535,f136]) ).
fof(f2059,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f535,f134]) ).
fof(f2060,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f535,f120]) ).
fof(f2061,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f535,f118]) ).
fof(f2062,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,e_2)
| ~ product(e_4,e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f535,f127]) ).
fof(f2063,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(X1,e_2)
| ~ product(e_1,X0,X1)
| ~ product(e_4,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f535,f127]) ).
fof(f2064,plain,
( ~ sQ71_spl
| equalish(e_2,e_4)
| ~ product(e_1,e_1,e_4)
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f535,f127]) ).
fof(f2065,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(e_2,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f535,f127]) ).
fof(f2067,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(X1,e_4)
| ~ product(X2,e_1,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f535,f127]) ).
fof(f2068,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f535,f125]) ).
fof(f2069,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,X1)
| ~ product(e_4,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f535,f125]) ).
fof(f2070,plain,
( ~ sQ71_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_1,e_4)
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f535,f125]) ).
fof(f2071,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(e_4,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f535,f125]) ).
fof(f2073,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f535,f125]) ).
fof(f2074,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f2048,f904,f534,f449]) ).
fof(f2075,definition,
! [X0] :
( sQ206_spl
<=> ( ~ product(e_4,e_2,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f2076,plain,
! [X0] :
( ~ sQ206_spl
| ~ product(e_4,e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f2075]) ).
fof(f2078,plain,
( ~ sQ71_spl
| sQ156_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f2050,f2075,f892,f534]) ).
fof(f2079,plain,
( ~ sQ71_spl
| sQ155_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f2052,f653,f888,f534]) ).
fof(f2080,plain,
( ~ sQ71_spl
| sQ155_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f2053,f2075,f888,f534]) ).
fof(f2081,plain,
( ~ sQ71_spl
| sQ167_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f2054,f653,f1020,f534]) ).
fof(f2082,plain,
( ~ sQ71_spl
| sQ168_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f2057,f2075,f1024,f534]) ).
fof(f2083,plain,
( ~ sQ71_spl
| sQ167_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f2059,f2075,f1020,f534]) ).
fof(f2084,definition,
! [X0] :
( sQ207_spl
<=> ( ~ product(e_4,e_2,X0)
| ~ product(e_4,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f2085,plain,
! [X0] :
( ~ sQ207_spl
| ~ product(e_4,e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(component_clause,[status(thm)],[f2084]) ).
fof(f2087,plain,
( ~ sQ71_spl
| sQ170_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f2062,f2084,f1032,f534]) ).
fof(f2088,plain,
( ~ sQ71_spl
| sQ180_spl
| ~ sQ152_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f2064,f656,f850,f1214,f534]) ).
fof(f2090,plain,
( ~ sQ71_spl
| sQ158_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f2068,f2084,f900,f534]) ).
fof(f2091,plain,
( ~ sQ71_spl
| sQ155_spl
| ~ sQ152_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f2070,f656,f850,f888,f534]) ).
fof(f2093,plain,
( ~ sQ107_spl
| ~ sQ207_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f660,f2096]) ).
fof(f2094,plain,
( ~ sQ108_spl
| ~ sQ207_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f663,f2096]) ).
fof(f2095,plain,
( ~ sQ109_spl
| ~ sQ207_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f666,f2096]) ).
fof(f2096,plain,
! [X0] :
( ~ sQ207_spl
| ~ product(e_4,e_2,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2085]) ).
fof(f2097,plain,
( ~ sQ107_spl
| ~ sQ207_spl ),
inference(contradiction_clause,[status(thm)],[f2093]) ).
fof(f2098,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f532,f144]) ).
fof(f2099,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f532,f142]) ).
fof(f2100,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f532,f142]) ).
fof(f2103,plain,
( ~ sQ70_spl
| equalish(e_1,e_1)
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f532,f148]) ).
fof(f2105,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f532,f122]) ).
fof(f2106,plain,
( ~ sQ70_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f532,f146]) ).
fof(f2107,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,e_1)
| ~ product(e_4,e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f532,f136]) ).
fof(f2108,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f532,f136]) ).
fof(f2110,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f532,f120]) ).
fof(f2111,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f532,f118]) ).
fof(f2112,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,e_1)
| ~ product(e_4,e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f532,f127]) ).
fof(f2113,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(X1,e_1)
| ~ product(e_1,X0,X1)
| ~ product(e_4,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f532,f127]) ).
fof(f2115,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(e_1,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f532,f127]) ).
fof(f2117,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(X1,e_4)
| ~ product(X2,e_1,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f532,f127]) ).
fof(f2118,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f532,f125]) ).
fof(f2119,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,X1)
| ~ product(e_4,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f532,f125]) ).
fof(f2121,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(e_4,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f532,f125]) ).
fof(f2123,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f532,f125]) ).
fof(f2124,definition,
! [X0] :
( sQ208_spl
<=> ( ~ product(e_4,e_1,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f2125,plain,
! [X0] :
( ~ sQ208_spl
| ~ product(e_4,e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f2124]) ).
fof(f2127,plain,
( ~ sQ70_spl
| sQ156_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f2099,f2124,f892,f531]) ).
fof(f2130,plain,
( ~ sQ70_spl
| sQ173_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f2103,f793,f1093,f531]) ).
fof(f2131,plain,
( ~ sQ70_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f2106,f888,f531]) ).
fof(f2132,plain,
( ~ sQ70_spl
| sQ173_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f2107,f2124,f1093,f531]) ).
fof(f2134,definition,
! [X0] :
( sQ209_spl
<=> ( ~ product(e_4,e_1,X0)
| ~ product(e_4,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f2135,plain,
! [X0] :
( ~ sQ209_spl
| ~ product(e_4,e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(component_clause,[status(thm)],[f2134]) ).
fof(f2137,plain,
( ~ sQ70_spl
| sQ173_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2112,f2134,f1093,f531]) ).
fof(f2140,plain,
( ~ sQ70_spl
| sQ158_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2118,f2134,f900,f531]) ).
fof(f2143,plain,
( ~ sQ135_spl
| ~ sQ209_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f797,f2147]) ).
fof(f2144,plain,
( ~ sQ136_spl
| ~ sQ209_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f800,f2147]) ).
fof(f2145,plain,
( ~ sQ137_spl
| ~ sQ209_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f803,f2147]) ).
fof(f2146,plain,
( ~ sQ138_spl
| ~ sQ209_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f806,f2147]) ).
fof(f2147,plain,
! [X0] :
( ~ sQ209_spl
| ~ product(e_4,e_1,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2135]) ).
fof(f2148,plain,
( ~ sQ135_spl
| ~ sQ209_spl ),
inference(contradiction_clause,[status(thm)],[f2143]) ).
fof(f2149,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f528,f144]) ).
fof(f2150,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_5,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f528,f142]) ).
fof(f2151,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f528,f142]) ).
fof(f2152,plain,
( ~ sQ69_spl
| equalish(e_4,e_2)
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f528,f167]) ).
fof(f2153,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f528,f140]) ).
fof(f2154,plain,
( ~ sQ69_spl
| equalish(e_5,e_2)
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f528,f148]) ).
fof(f2155,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f528,f138]) ).
fof(f2156,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f528,f122]) ).
fof(f2157,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,e_5)
| ~ product(e_4,e_5,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f528,f136]) ).
fof(f2158,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f528,f136]) ).
fof(f2159,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f528,f134]) ).
fof(f2160,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f528,f120]) ).
fof(f2161,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f528,f118]) ).
fof(f2162,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,e_5)
| ~ product(e_4,e_5,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f528,f127]) ).
fof(f2163,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| equalish(X1,e_5)
| ~ product(e_2,X0,X1)
| ~ product(e_4,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f528,f127]) ).
fof(f2164,plain,
( ~ sQ69_spl
| equalish(e_5,e_4)
| ~ product(e_2,e_2,e_4)
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f528,f127]) ).
fof(f2165,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| equalish(e_5,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f528,f127]) ).
fof(f2167,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| equalish(X1,e_4)
| ~ product(X2,e_2,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f528,f127]) ).
fof(f2168,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_5,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f528,f125]) ).
fof(f2169,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,X1)
| ~ product(e_4,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f528,f125]) ).
fof(f2170,plain,
( ~ sQ69_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_2,e_4)
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f528,f125]) ).
fof(f2171,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| equalish(e_4,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f528,f125]) ).
fof(f2173,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f528,f125]) ).
fof(f2174,definition,
! [X0] :
( sQ210_spl
<=> ( ~ product(e_4,e_5,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f2175,plain,
! [X0] :
( ~ sQ210_spl
| ~ product(e_4,e_5,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f2174]) ).
fof(f2177,plain,
( ~ sQ69_spl
| sQ180_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f2150,f2174,f1214,f527]) ).
fof(f2178,plain,
( ~ sQ69_spl
| sQ179_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2152,f401,f1210,f527]) ).
fof(f2179,plain,
( ~ sQ69_spl
| sQ179_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f2153,f2174,f1210,f527]) ).
fof(f2180,plain,
( ~ sQ69_spl
| sQ176_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2154,f401,f1153,f527]) ).
fof(f2181,plain,
( ~ sQ69_spl
| sQ171_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f2157,f2174,f1036,f527]) ).
fof(f2182,plain,
( ~ sQ69_spl
| sQ176_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f2159,f2174,f1153,f527]) ).
fof(f2183,plain,
( ~ sQ69_spl
| sQ125_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f2162,f1929,f749,f527]) ).
fof(f2184,plain,
( ~ sQ69_spl
| sQ195_spl
| ~ sQ118_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2164,f410,f694,f1704,f527]) ).
fof(f2186,plain,
( ~ sQ69_spl
| sQ158_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f2168,f1929,f900,f527]) ).
fof(f2187,plain,
( ~ sQ69_spl
| sQ179_spl
| ~ sQ118_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2170,f410,f694,f1210,f527]) ).
fof(f2189,plain,
( ~ sQ178_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1205,f123]) ).
fof(f2190,plain,
( ~ sQ68_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f525,f144]) ).
fof(f2191,plain,
! [X0,X1] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f525,f144]) ).
fof(f2193,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f525,f144]) ).
fof(f2196,plain,
( ~ sQ68_spl
| equalish(e_4,e_2)
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f525,f167]) ).
fof(f2197,plain,
( ~ sQ68_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f525,f160]) ).
fof(f2198,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f525,f140]) ).
fof(f2201,plain,
! [X0,X1] :
( ~ sQ68_spl
| equalish(X1,e_4)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f525,f138]) ).
fof(f2204,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f525,f122]) ).
fof(f2205,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f525,f136]) ).
fof(f2206,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f525,f136]) ).
fof(f2208,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f525,f120]) ).
fof(f2209,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f525,f118]) ).
fof(f2210,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f525,f127]) ).
fof(f2211,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(X1,e_4)
| ~ product(e_2,X0,X1)
| ~ product(e_4,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f525,f127]) ).
fof(f2213,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(e_4,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f525,f127]) ).
fof(f2215,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(X1,e_4)
| ~ product(X2,e_2,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f525,f127]) ).
fof(f2217,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,X1)
| ~ product(e_4,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f525,f125]) ).
fof(f2218,plain,
( ~ sQ68_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_2,e_4)
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f525,f125]) ).
fof(f2219,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(e_4,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f525,f125]) ).
fof(f2221,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f525,f125]) ).
fof(f2222,plain,
( ~ sQ68_spl
| sQ158_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2190,f492,f900,f524]) ).
fof(f2224,definition,
! [X0] :
( sQ211_spl
<=> ( ~ product(e_4,e_4,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f2225,plain,
! [X0] :
( ~ sQ211_spl
| ~ product(e_4,e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f2224]) ).
fof(f2228,plain,
( ~ sQ68_spl
| sQ179_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2196,f486,f1210,f524]) ).
fof(f2229,plain,
( ~ sQ68_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f2197,f1214,f524]) ).
fof(f2230,plain,
( ~ sQ68_spl
| sQ179_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f2198,f2224,f1210,f524]) ).
fof(f2234,plain,
( ~ sQ68_spl
| sQ180_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f2205,f2224,f1214,f524]) ).
fof(f2236,plain,
( ~ sQ68_spl
| sQ158_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f2210,f1987,f900,f524]) ).
fof(f2240,plain,
( ~ sQ68_spl
| sQ179_spl
| ~ sQ118_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2218,f492,f694,f1210,f524]) ).
fof(f2242,plain,
( sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f494,f123]) ).
fof(f2243,plain,
sQ58_spl,
inference(contradiction_clause,[status(thm)],[f2242]) ).
fof(f2244,plain,
( ~ sQ42_spl
| ~ sQ67_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f522,f1248]) ).
fof(f2245,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f522,f144]) ).
fof(f2246,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f522,f142]) ).
fof(f2247,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f522,f142]) ).
fof(f2248,plain,
( ~ sQ67_spl
| equalish(e_4,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f522,f167]) ).
fof(f2249,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f522,f140]) ).
fof(f2250,plain,
( ~ sQ67_spl
| equalish(e_3,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f522,f148]) ).
fof(f2251,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f522,f138]) ).
fof(f2252,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f522,f122]) ).
fof(f2253,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_2,e_3)
| ~ product(e_4,e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f522,f136]) ).
fof(f2254,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f522,f136]) ).
fof(f2255,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f522,f134]) ).
fof(f2256,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f522,f120]) ).
fof(f2257,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f522,f118]) ).
fof(f2258,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,e_3)
| ~ product(e_4,e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f522,f127]) ).
fof(f2259,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| equalish(X1,e_3)
| ~ product(e_2,X0,X1)
| ~ product(e_4,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f522,f127]) ).
fof(f2260,plain,
( ~ sQ67_spl
| equalish(e_3,e_4)
| ~ product(e_2,e_2,e_4)
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f522,f127]) ).
fof(f2261,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| equalish(e_3,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f522,f127]) ).
fof(f2263,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| equalish(X1,e_4)
| ~ product(X2,e_2,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f522,f127]) ).
fof(f2264,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f522,f125]) ).
fof(f2265,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,X1)
| ~ product(e_4,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f522,f125]) ).
fof(f2266,plain,
( ~ sQ67_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_2,e_4)
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f522,f125]) ).
fof(f2267,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| equalish(e_4,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f522,f125]) ).
fof(f2269,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f522,f125]) ).
fof(f2270,plain,
( ~ sQ42_spl
| ~ sQ67_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f2244,f904,f521,f436]) ).
fof(f2271,definition,
! [X0] :
( sQ212_spl
<=> ( ~ product(e_4,e_3,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f2272,plain,
! [X0] :
( ~ sQ212_spl
| ~ product(e_4,e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f2271]) ).
fof(f2274,plain,
( ~ sQ67_spl
| sQ180_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f2246,f2271,f1214,f521]) ).
fof(f2275,plain,
( ~ sQ67_spl
| sQ179_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f2248,f571,f1210,f521]) ).
fof(f2276,plain,
( ~ sQ67_spl
| sQ179_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f2249,f2271,f1210,f521]) ).
fof(f2277,plain,
( ~ sQ67_spl
| sQ182_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f2250,f571,f1268,f521]) ).
fof(f2278,plain,
( ~ sQ67_spl
| sQ183_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f2253,f2271,f1272,f521]) ).
fof(f2279,plain,
( ~ sQ67_spl
| sQ182_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f2255,f2271,f1268,f521]) ).
fof(f2280,plain,
( ~ sQ67_spl
| sQ164_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f2258,f2034,f966,f521]) ).
fof(f2281,plain,
( ~ sQ67_spl
| sQ190_spl
| ~ sQ118_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f2260,f574,f694,f1486,f521]) ).
fof(f2283,plain,
( ~ sQ67_spl
| sQ158_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f2264,f2034,f900,f521]) ).
fof(f2284,plain,
( ~ sQ67_spl
| sQ179_spl
| ~ sQ118_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f2266,f574,f694,f1210,f521]) ).
fof(f2286,plain,
( ~ sQ193_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f1894,f783,f1633]) ).
fof(f2287,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f519,f144]) ).
fof(f2288,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f519,f142]) ).
fof(f2289,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f519,f142]) ).
fof(f2292,plain,
( ~ sQ66_spl
| equalish(e_2,e_2)
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f519,f148]) ).
fof(f2294,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f519,f122]) ).
fof(f2295,plain,
( ~ sQ66_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f519,f146]) ).
fof(f2296,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,e_2)
| ~ product(e_4,e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f519,f136]) ).
fof(f2297,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f519,f136]) ).
fof(f2299,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f519,f120]) ).
fof(f2300,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f519,f118]) ).
fof(f2301,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,e_2)
| ~ product(e_4,e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f519,f127]) ).
fof(f2302,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(X1,e_2)
| ~ product(e_2,X0,X1)
| ~ product(e_4,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f519,f127]) ).
fof(f2304,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(e_2,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f519,f127]) ).
fof(f2306,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(X1,e_4)
| ~ product(X2,e_2,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f519,f127]) ).
fof(f2307,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f519,f125]) ).
fof(f2308,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,X1)
| ~ product(e_4,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f519,f125]) ).
fof(f2310,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(e_4,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f519,f125]) ).
fof(f2312,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f519,f125]) ).
fof(f2313,definition,
! [X0] :
( sQ213_spl
<=> ( ~ product(e_4,e_2,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f2314,plain,
! [X0] :
( ~ sQ213_spl
| ~ product(e_4,e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f2313]) ).
fof(f2316,plain,
( ~ sQ66_spl
| sQ180_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f2288,f2313,f1214,f518]) ).
fof(f2319,plain,
( ~ sQ66_spl
| sQ170_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f2292,f656,f1032,f518]) ).
fof(f2320,plain,
( ~ sQ66_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f2295,f1210,f518]) ).
fof(f2321,plain,
( ~ sQ66_spl
| sQ170_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f2296,f2313,f1032,f518]) ).
fof(f2323,plain,
( ~ sQ66_spl
| sQ170_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f2301,f2084,f1032,f518]) ).
fof(f2326,plain,
( ~ sQ66_spl
| sQ158_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f2307,f2084,f900,f518]) ).
fof(f2329,plain,
( ~ sQ83_spl
| ~ sQ205_spl ),
inference(contradiction_clause,[status(thm)],[f2044]) ).
fof(f2330,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f516,f144]) ).
fof(f2331,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f516,f142]) ).
fof(f2332,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f516,f142]) ).
fof(f2333,plain,
( ~ sQ65_spl
| equalish(e_4,e_2)
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f516,f167]) ).
fof(f2334,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f516,f140]) ).
fof(f2335,plain,
( ~ sQ65_spl
| equalish(e_1,e_2)
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f516,f148]) ).
fof(f2336,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f516,f138]) ).
fof(f2337,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f516,f122]) ).
fof(f2338,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_2,e_1)
| ~ product(e_4,e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f516,f136]) ).
fof(f2339,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f516,f136]) ).
fof(f2340,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f516,f134]) ).
fof(f2341,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f516,f120]) ).
fof(f2342,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f516,f118]) ).
fof(f2343,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,e_1)
| ~ product(e_4,e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f516,f127]) ).
fof(f2344,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| equalish(X1,e_1)
| ~ product(e_2,X0,X1)
| ~ product(e_4,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f516,f127]) ).
fof(f2345,plain,
( ~ sQ65_spl
| equalish(e_1,e_4)
| ~ product(e_2,e_2,e_4)
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f516,f127]) ).
fof(f2346,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| equalish(e_1,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f516,f127]) ).
fof(f2348,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| equalish(X1,e_4)
| ~ product(X2,e_2,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f516,f127]) ).
fof(f2349,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f516,f125]) ).
fof(f2350,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,X1)
| ~ product(e_4,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f516,f125]) ).
fof(f2351,plain,
( ~ sQ65_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_2,e_4)
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f516,f125]) ).
fof(f2352,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| equalish(e_4,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f516,f125]) ).
fof(f2354,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f516,f125]) ).
fof(f2355,definition,
! [X0] :
( sQ214_spl
<=> ( ~ product(e_4,e_1,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f2356,plain,
! [X0] :
( ~ sQ214_spl
| ~ product(e_4,e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f2355]) ).
fof(f2358,plain,
( ~ sQ65_spl
| sQ180_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f2331,f2355,f1214,f515]) ).
fof(f2359,plain,
( ~ sQ65_spl
| sQ179_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f2333,f796,f1210,f515]) ).
fof(f2360,plain,
( ~ sQ65_spl
| sQ179_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f2334,f2355,f1210,f515]) ).
fof(f2361,plain,
( ~ sQ65_spl
| sQ168_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f2335,f796,f1024,f515]) ).
fof(f2362,plain,
( ~ sQ65_spl
| sQ167_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f2338,f2355,f1020,f515]) ).
fof(f2363,plain,
( ~ sQ65_spl
| sQ168_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f2340,f2355,f1024,f515]) ).
fof(f2364,plain,
( ~ sQ65_spl
| sQ173_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2343,f2134,f1093,f515]) ).
fof(f2365,plain,
( ~ sQ65_spl
| sQ156_spl
| ~ sQ118_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f2345,f793,f694,f892,f515]) ).
fof(f2367,plain,
( ~ sQ65_spl
| sQ158_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2349,f2134,f900,f515]) ).
fof(f2368,plain,
( ~ sQ65_spl
| sQ179_spl
| ~ sQ118_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f2351,f793,f694,f1210,f515]) ).
fof(f2370,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f512,f144]) ).
fof(f2371,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_5,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f512,f142]) ).
fof(f2372,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f512,f142]) ).
fof(f2373,plain,
( ~ sQ64_spl
| equalish(e_4,e_3)
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f512,f167]) ).
fof(f2374,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f512,f140]) ).
fof(f2375,plain,
( ~ sQ64_spl
| equalish(e_5,e_3)
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f512,f148]) ).
fof(f2376,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f512,f138]) ).
fof(f2377,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f512,f122]) ).
fof(f2378,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_3,e_5)
| ~ product(e_4,e_5,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f512,f136]) ).
fof(f2379,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f512,f136]) ).
fof(f2380,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f512,f134]) ).
fof(f2381,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f512,f120]) ).
fof(f2382,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f512,f118]) ).
fof(f2383,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_5,e_5)
| ~ product(e_4,e_5,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f512,f127]) ).
fof(f2384,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| equalish(X1,e_5)
| ~ product(e_3,X0,X1)
| ~ product(e_4,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f512,f127]) ).
fof(f2385,plain,
( ~ sQ64_spl
| equalish(e_5,e_4)
| ~ product(e_3,e_3,e_4)
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f512,f127]) ).
fof(f2386,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| equalish(e_5,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f512,f127]) ).
fof(f2388,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| equalish(X1,e_4)
| ~ product(X2,e_3,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f512,f127]) ).
fof(f2389,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_5,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f512,f125]) ).
fof(f2390,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,X1)
| ~ product(e_4,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f512,f125]) ).
fof(f2391,plain,
( ~ sQ64_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_3,e_4)
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f512,f125]) ).
fof(f2392,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| equalish(e_4,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f512,f125]) ).
fof(f2394,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f512,f125]) ).
fof(f2395,definition,
! [X0] :
( sQ215_spl
<=> ( ~ product(e_4,e_5,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f2396,plain,
! [X0] :
( ~ sQ215_spl
| ~ product(e_4,e_5,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f2395]) ).
fof(f2398,plain,
( ~ sQ64_spl
| sQ190_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f2371,f2395,f1486,f511]) ).
fof(f2399,plain,
( ~ sQ64_spl
| sQ189_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2373,f404,f1482,f511]) ).
fof(f2400,plain,
( ~ sQ64_spl
| sQ189_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f2374,f2395,f1482,f511]) ).
fof(f2401,plain,
( ~ sQ64_spl
| sQ187_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2375,f404,f1432,f511]) ).
fof(f2402,plain,
( ~ sQ64_spl
| sQ165_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f2378,f2395,f970,f511]) ).
fof(f2403,plain,
( ~ sQ64_spl
| sQ187_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f2380,f2395,f1432,f511]) ).
fof(f2404,plain,
( ~ sQ64_spl
| sQ125_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f2383,f1929,f749,f511]) ).
fof(f2405,plain,
( ~ sQ64_spl
| sQ195_spl
| ~ sQ88_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2385,f410,f593,f1704,f511]) ).
fof(f2407,plain,
( ~ sQ64_spl
| sQ158_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f2389,f1929,f900,f511]) ).
fof(f2408,plain,
( ~ sQ64_spl
| sQ189_spl
| ~ sQ88_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2391,f410,f593,f1482,f511]) ).
fof(f2410,plain,
( ~ sQ63_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f509,f144]) ).
fof(f2411,plain,
! [X0,X1] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f509,f144]) ).
fof(f2413,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f509,f144]) ).
fof(f2416,plain,
( ~ sQ63_spl
| equalish(e_4,e_3)
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f509,f167]) ).
fof(f2417,plain,
( ~ sQ63_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f509,f160]) ).
fof(f2418,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f509,f140]) ).
fof(f2421,plain,
! [X0,X1] :
( ~ sQ63_spl
| equalish(X1,e_4)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f509,f138]) ).
fof(f2424,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f509,f122]) ).
fof(f2425,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f509,f136]) ).
fof(f2426,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f509,f136]) ).
fof(f2428,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f509,f120]) ).
fof(f2429,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f509,f118]) ).
fof(f2430,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f509,f127]) ).
fof(f2431,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| equalish(X1,e_4)
| ~ product(e_3,X0,X1)
| ~ product(e_4,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f509,f127]) ).
fof(f2433,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| equalish(e_4,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f509,f127]) ).
fof(f2435,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| equalish(X1,e_4)
| ~ product(X2,e_3,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f509,f127]) ).
fof(f2437,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,X1)
| ~ product(e_4,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f509,f125]) ).
fof(f2438,plain,
( ~ sQ63_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_3,e_4)
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f509,f125]) ).
fof(f2439,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| equalish(e_4,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f509,f125]) ).
fof(f2441,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f509,f125]) ).
fof(f2442,plain,
( ~ sQ63_spl
| sQ158_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2410,f492,f900,f508]) ).
fof(f2444,definition,
! [X0] :
( sQ216_spl
<=> ( ~ product(e_4,e_4,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f2445,plain,
! [X0] :
( ~ sQ216_spl
| ~ product(e_4,e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f2444]) ).
fof(f2448,plain,
( ~ sQ63_spl
| sQ189_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2416,f489,f1482,f508]) ).
fof(f2449,plain,
( ~ sQ63_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f2417,f1486,f508]) ).
fof(f2450,plain,
( ~ sQ63_spl
| sQ189_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f2418,f2444,f1482,f508]) ).
fof(f2454,plain,
( ~ sQ63_spl
| sQ190_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f2425,f2444,f1486,f508]) ).
fof(f2456,plain,
( ~ sQ63_spl
| sQ158_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f2430,f1987,f900,f508]) ).
fof(f2460,plain,
( ~ sQ63_spl
| sQ189_spl
| ~ sQ88_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2438,f492,f593,f1482,f508]) ).
fof(f2462,plain,
( ~ sQ200_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f1921,f123]) ).
fof(f2463,plain,
( ~ sQ200_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2462,f399]) ).
fof(f2464,plain,
( ~ sQ200_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2463]) ).
fof(f2465,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f506,f144]) ).
fof(f2466,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f506,f142]) ).
fof(f2467,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f506,f142]) ).
fof(f2470,plain,
( ~ sQ62_spl
| equalish(e_3,e_3)
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f506,f148]) ).
fof(f2472,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f506,f122]) ).
fof(f2473,plain,
( ~ sQ62_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f506,f146]) ).
fof(f2474,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_3,e_3)
| ~ product(e_4,e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f506,f136]) ).
fof(f2475,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f506,f136]) ).
fof(f2477,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f506,f120]) ).
fof(f2478,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f506,f118]) ).
fof(f2479,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_3,e_3)
| ~ product(e_4,e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f506,f127]) ).
fof(f2480,plain,
! [X0,X1,X2] :
( ~ sQ62_spl
| equalish(X1,e_3)
| ~ product(e_3,X0,X1)
| ~ product(e_4,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f506,f127]) ).
fof(f2482,plain,
! [X0,X1,X2] :
( ~ sQ62_spl
| equalish(e_3,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f506,f127]) ).
fof(f2484,plain,
! [X0,X1,X2] :
( ~ sQ62_spl
| equalish(X1,e_4)
| ~ product(X2,e_3,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f506,f127]) ).
fof(f2485,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f506,f125]) ).
fof(f2486,plain,
! [X0,X1,X2] :
( ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,X1)
| ~ product(e_4,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f506,f125]) ).
fof(f2488,plain,
! [X0,X1,X2] :
( ~ sQ62_spl
| equalish(e_4,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f506,f125]) ).
fof(f2490,plain,
! [X0,X1,X2] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f506,f125]) ).
fof(f2491,definition,
! [X0] :
( sQ217_spl
<=> ( ~ product(e_4,e_3,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f2492,plain,
! [X0] :
( ~ sQ217_spl
| ~ product(e_4,e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f2491]) ).
fof(f2494,plain,
( ~ sQ62_spl
| sQ190_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f2466,f2491,f1486,f505]) ).
fof(f2497,plain,
( ~ sQ62_spl
| sQ164_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f2470,f574,f966,f505]) ).
fof(f2498,plain,
( ~ sQ62_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f2473,f1482,f505]) ).
fof(f2499,plain,
( ~ sQ62_spl
| sQ164_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f2474,f2491,f966,f505]) ).
fof(f2501,plain,
( ~ sQ62_spl
| sQ164_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f2479,f2034,f966,f505]) ).
fof(f2504,plain,
( ~ sQ62_spl
| sQ158_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f2485,f2034,f900,f505]) ).
fof(f2507,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f503,f144]) ).
fof(f2508,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f503,f142]) ).
fof(f2509,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f503,f142]) ).
fof(f2510,plain,
( ~ sQ61_spl
| equalish(e_4,e_3)
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f503,f167]) ).
fof(f2511,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f503,f140]) ).
fof(f2512,plain,
( ~ sQ61_spl
| equalish(e_2,e_3)
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f503,f148]) ).
fof(f2513,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f503,f138]) ).
fof(f2514,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f503,f122]) ).
fof(f2515,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,e_2)
| ~ product(e_4,e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f503,f136]) ).
fof(f2516,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f503,f136]) ).
fof(f2517,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f503,f134]) ).
fof(f2518,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f503,f120]) ).
fof(f2519,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f503,f118]) ).
fof(f2520,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,e_2)
| ~ product(e_4,e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f503,f127]) ).
fof(f2521,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(X1,e_2)
| ~ product(e_3,X0,X1)
| ~ product(e_4,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f503,f127]) ).
fof(f2522,plain,
( ~ sQ61_spl
| equalish(e_2,e_4)
| ~ product(e_3,e_3,e_4)
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f503,f127]) ).
fof(f2523,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(e_2,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f503,f127]) ).
fof(f2525,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(X1,e_4)
| ~ product(X2,e_3,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f503,f127]) ).
fof(f2526,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f503,f125]) ).
fof(f2527,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,X1)
| ~ product(e_4,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f503,f125]) ).
fof(f2528,plain,
( ~ sQ61_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_3,e_4)
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f503,f125]) ).
fof(f2529,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(e_4,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f503,f125]) ).
fof(f2531,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f503,f125]) ).
fof(f2532,definition,
! [X0] :
( sQ218_spl
<=> ( ~ product(e_4,e_2,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f2533,plain,
! [X0] :
( ~ sQ218_spl
| ~ product(e_4,e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f2532]) ).
fof(f2535,plain,
( ~ sQ61_spl
| sQ190_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f2508,f2532,f1486,f502]) ).
fof(f2536,plain,
( ~ sQ61_spl
| sQ189_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f2510,f659,f1482,f502]) ).
fof(f2537,plain,
( ~ sQ61_spl
| sQ189_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f2511,f2532,f1482,f502]) ).
fof(f2538,plain,
( ~ sQ61_spl
| sQ183_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f2512,f659,f1272,f502]) ).
fof(f2539,plain,
( ~ sQ61_spl
| sQ182_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f2515,f2532,f1268,f502]) ).
fof(f2540,plain,
( ~ sQ61_spl
| sQ183_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f2517,f2532,f1272,f502]) ).
fof(f2541,plain,
( ~ sQ61_spl
| sQ170_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f2520,f2084,f1032,f502]) ).
fof(f2542,plain,
( ~ sQ61_spl
| sQ180_spl
| ~ sQ88_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f2522,f656,f593,f1214,f502]) ).
fof(f2544,plain,
( ~ sQ61_spl
| sQ158_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f2526,f2084,f900,f502]) ).
fof(f2545,plain,
( ~ sQ61_spl
| sQ189_spl
| ~ sQ88_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f2528,f656,f593,f1482,f502]) ).
fof(f2547,plain,
( ~ sQ108_spl
| ~ sQ207_spl ),
inference(contradiction_clause,[status(thm)],[f2094]) ).
fof(f2548,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f500,f144]) ).
fof(f2549,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f500,f142]) ).
fof(f2550,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f500,f142]) ).
fof(f2551,plain,
( ~ sQ60_spl
| equalish(e_4,e_3)
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f500,f167]) ).
fof(f2552,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f500,f140]) ).
fof(f2553,plain,
( ~ sQ60_spl
| equalish(e_1,e_3)
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f500,f148]) ).
fof(f2554,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f500,f138]) ).
fof(f2555,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f500,f122]) ).
fof(f2556,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,e_1)
| ~ product(e_4,e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f500,f136]) ).
fof(f2557,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f500,f136]) ).
fof(f2558,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f500,f134]) ).
fof(f2559,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f500,f120]) ).
fof(f2560,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f500,f118]) ).
fof(f2561,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,e_1)
| ~ product(e_4,e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f500,f127]) ).
fof(f2562,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| equalish(X1,e_1)
| ~ product(e_3,X0,X1)
| ~ product(e_4,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f500,f127]) ).
fof(f2563,plain,
( ~ sQ60_spl
| equalish(e_1,e_4)
| ~ product(e_3,e_3,e_4)
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f500,f127]) ).
fof(f2564,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| equalish(e_1,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f500,f127]) ).
fof(f2566,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| equalish(X1,e_4)
| ~ product(X2,e_3,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f500,f127]) ).
fof(f2567,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f500,f125]) ).
fof(f2568,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,X1)
| ~ product(e_4,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f500,f125]) ).
fof(f2569,plain,
( ~ sQ60_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_3,e_4)
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f500,f125]) ).
fof(f2570,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| equalish(e_4,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f500,f125]) ).
fof(f2572,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f500,f125]) ).
fof(f2573,definition,
! [X0] :
( sQ219_spl
<=> ( ~ product(e_4,e_1,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f2574,plain,
! [X0] :
( ~ sQ219_spl
| ~ product(e_4,e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f2573]) ).
fof(f2576,plain,
( ~ sQ60_spl
| sQ190_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f2549,f2573,f1486,f499]) ).
fof(f2577,plain,
( ~ sQ60_spl
| sQ189_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f2551,f799,f1482,f499]) ).
fof(f2578,plain,
( ~ sQ60_spl
| sQ189_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f2552,f2573,f1482,f499]) ).
fof(f2579,plain,
( ~ sQ60_spl
| sQ162_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f2553,f799,f958,f499]) ).
fof(f2580,plain,
( ~ sQ60_spl
| sQ161_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f2556,f2573,f954,f499]) ).
fof(f2581,plain,
( ~ sQ60_spl
| sQ162_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f2558,f2573,f958,f499]) ).
fof(f2582,plain,
( ~ sQ60_spl
| sQ173_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2561,f2134,f1093,f499]) ).
fof(f2583,plain,
( ~ sQ60_spl
| sQ156_spl
| ~ sQ88_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f2563,f793,f593,f892,f499]) ).
fof(f2585,plain,
( ~ sQ60_spl
| sQ158_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2567,f2134,f900,f499]) ).
fof(f2586,plain,
( ~ sQ60_spl
| sQ189_spl
| ~ sQ88_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f2569,f793,f593,f1482,f499]) ).
fof(f2588,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f629,f144]) ).
fof(f2589,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_5,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f629,f142]) ).
fof(f2590,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f629,f142]) ).
fof(f2591,plain,
( ~ sQ99_spl
| equalish(e_3,e_1)
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f629,f167]) ).
fof(f2592,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f629,f140]) ).
fof(f2593,plain,
( ~ sQ99_spl
| equalish(e_5,e_1)
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f629,f148]) ).
fof(f2594,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f629,f138]) ).
fof(f2595,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f629,f122]) ).
fof(f2596,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,e_5)
| ~ product(e_3,e_5,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f629,f136]) ).
fof(f2597,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f629,f136]) ).
fof(f2598,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f629,f134]) ).
fof(f2599,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f629,f120]) ).
fof(f2600,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f629,f118]) ).
fof(f2601,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,e_5)
| ~ product(e_3,e_5,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f629,f127]) ).
fof(f2602,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(X1,e_5)
| ~ product(e_1,X0,X1)
| ~ product(e_3,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f629,f127]) ).
fof(f2603,plain,
( ~ sQ99_spl
| equalish(e_5,e_3)
| ~ product(e_1,e_1,e_3)
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f629,f127]) ).
fof(f2604,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(e_5,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f629,f127]) ).
fof(f2606,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(X1,e_3)
| ~ product(X2,e_1,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f629,f127]) ).
fof(f2607,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_5,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f629,f125]) ).
fof(f2608,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,X1)
| ~ product(e_3,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f629,f125]) ).
fof(f2609,plain,
( ~ sQ99_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_1,e_3)
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f629,f125]) ).
fof(f2610,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(e_3,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f629,f125]) ).
fof(f2612,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f629,f125]) ).
fof(f2613,definition,
! [X0] :
( sQ220_spl
<=> ( ~ product(e_3,e_5,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f2614,plain,
! [X0] :
( ~ sQ220_spl
| ~ product(e_3,e_5,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f2613]) ).
fof(f2616,plain,
( ~ sQ99_spl
| sQ162_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f2589,f2613,f958,f628]) ).
fof(f2617,plain,
( ~ sQ99_spl
| sQ161_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2591,f414,f954,f628]) ).
fof(f2618,plain,
( ~ sQ99_spl
| sQ161_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f2592,f2613,f954,f628]) ).
fof(f2619,plain,
( ~ sQ99_spl
| sQ128_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2593,f414,f761,f628]) ).
fof(f2620,plain,
( ~ sQ99_spl
| sQ127_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f2596,f2613,f757,f628]) ).
fof(f2621,plain,
( ~ sQ99_spl
| sQ128_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f2598,f2613,f761,f628]) ).
fof(f2622,definition,
! [X0] :
( sQ221_spl
<=> ( ~ product(e_3,e_5,X0)
| ~ product(e_3,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f2623,plain,
! [X0] :
( ~ sQ221_spl
| ~ product(e_3,e_5,X0)
| ~ product(e_3,e_5,X0) ),
inference(component_clause,[status(thm)],[f2622]) ).
fof(f2625,plain,
( ~ sQ99_spl
| sQ125_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f2601,f2622,f749,f628]) ).
fof(f2626,plain,
( ~ sQ99_spl
| sQ187_spl
| ~ sQ151_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2603,f426,f847,f1432,f628]) ).
fof(f2628,plain,
( ~ sQ99_spl
| sQ164_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f2607,f2622,f966,f628]) ).
fof(f2629,plain,
( ~ sQ99_spl
| sQ161_spl
| ~ sQ151_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2609,f426,f847,f954,f628]) ).
fof(f2631,plain,
( ~ sQ38_spl
| ~ sQ221_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f424,f2632]) ).
fof(f2632,plain,
! [X0] :
( ~ sQ221_spl
| ~ product(e_3,e_5,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2623]) ).
fof(f2633,plain,
( ~ sQ38_spl
| ~ sQ221_spl ),
inference(contradiction_clause,[status(thm)],[f2631]) ).
fof(f2634,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f626,f144]) ).
fof(f2635,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f626,f142]) ).
fof(f2636,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f626,f142]) ).
fof(f2637,plain,
( ~ sQ98_spl
| equalish(e_3,e_1)
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f626,f167]) ).
fof(f2638,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f626,f140]) ).
fof(f2639,plain,
( ~ sQ98_spl
| equalish(e_4,e_1)
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f626,f148]) ).
fof(f2640,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f626,f138]) ).
fof(f2641,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f626,f122]) ).
fof(f2642,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_1,e_4)
| ~ product(e_3,e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f626,f136]) ).
fof(f2643,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f626,f136]) ).
fof(f2644,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f626,f134]) ).
fof(f2645,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f626,f120]) ).
fof(f2646,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f626,f118]) ).
fof(f2647,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,e_4)
| ~ product(e_3,e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f626,f127]) ).
fof(f2648,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(X1,e_4)
| ~ product(e_1,X0,X1)
| ~ product(e_3,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f626,f127]) ).
fof(f2649,plain,
( ~ sQ98_spl
| equalish(e_4,e_3)
| ~ product(e_1,e_1,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f626,f127]) ).
fof(f2650,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(e_4,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f626,f127]) ).
fof(f2652,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(X1,e_3)
| ~ product(X2,e_1,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f626,f127]) ).
fof(f2653,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f626,f125]) ).
fof(f2654,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,X1)
| ~ product(e_3,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f626,f125]) ).
fof(f2655,plain,
( ~ sQ98_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_1,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f626,f125]) ).
fof(f2656,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(e_3,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f626,f125]) ).
fof(f2658,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f626,f125]) ).
fof(f2659,definition,
! [X0] :
( sQ222_spl
<=> ( ~ product(e_3,e_4,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f2660,plain,
! [X0] :
( ~ sQ222_spl
| ~ product(e_3,e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f2659]) ).
fof(f2662,plain,
( ~ sQ98_spl
| sQ162_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f2635,f2659,f958,f625]) ).
fof(f2663,plain,
( ~ sQ98_spl
| sQ161_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2637,f499,f954,f625]) ).
fof(f2664,plain,
( ~ sQ98_spl
| sQ161_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f2638,f2659,f954,f625]) ).
fof(f2665,plain,
( ~ sQ98_spl
| sQ155_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2639,f499,f888,f625]) ).
fof(f2666,plain,
( ~ sQ98_spl
| sQ156_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f2642,f2659,f892,f625]) ).
fof(f2667,plain,
( ~ sQ98_spl
| sQ155_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f2644,f2659,f888,f625]) ).
fof(f2668,definition,
! [X0] :
( sQ223_spl
<=> ( ~ product(e_3,e_4,X0)
| ~ product(e_3,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f2669,plain,
! [X0] :
( ~ sQ223_spl
| ~ product(e_3,e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(component_clause,[status(thm)],[f2668]) ).
fof(f2671,plain,
( ~ sQ98_spl
| sQ158_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f2647,f2668,f900,f625]) ).
fof(f2672,plain,
( ~ sQ98_spl
| sQ189_spl
| ~ sQ151_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f2649,f508,f847,f1482,f625]) ).
fof(f2674,plain,
( ~ sQ98_spl
| sQ164_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f2653,f2668,f966,f625]) ).
fof(f2675,plain,
( ~ sQ98_spl
| sQ161_spl
| ~ sQ151_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f2655,f508,f847,f954,f625]) ).
fof(f2677,plain,
( ~ sQ61_spl
| ~ sQ223_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f503,f2678]) ).
fof(f2678,plain,
! [X0] :
( ~ sQ223_spl
| ~ product(e_3,e_4,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2669]) ).
fof(f2679,plain,
( ~ sQ61_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f2677]) ).
fof(f2680,plain,
( ~ sQ97_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f623,f144]) ).
fof(f2681,plain,
! [X0,X1] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f623,f144]) ).
fof(f2683,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f623,f144]) ).
fof(f2686,plain,
( ~ sQ97_spl
| equalish(e_3,e_1)
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f623,f167]) ).
fof(f2687,plain,
( ~ sQ97_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f623,f160]) ).
fof(f2688,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f623,f140]) ).
fof(f2691,plain,
! [X0,X1] :
( ~ sQ97_spl
| equalish(X1,e_3)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f623,f138]) ).
fof(f2694,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f623,f122]) ).
fof(f2695,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f623,f136]) ).
fof(f2696,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f623,f136]) ).
fof(f2698,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f623,f120]) ).
fof(f2699,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f623,f118]) ).
fof(f2700,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f623,f127]) ).
fof(f2701,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(X1,e_3)
| ~ product(e_1,X0,X1)
| ~ product(e_3,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f623,f127]) ).
fof(f2703,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(e_3,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f623,f127]) ).
fof(f2705,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(X1,e_3)
| ~ product(X2,e_1,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f623,f127]) ).
fof(f2707,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,X1)
| ~ product(e_3,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f623,f125]) ).
fof(f2708,plain,
( ~ sQ97_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_1,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f623,f125]) ).
fof(f2709,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(e_3,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f623,f125]) ).
fof(f2711,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f623,f125]) ).
fof(f2712,plain,
( ~ sQ97_spl
| sQ164_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f2680,f590,f966,f622]) ).
fof(f2714,definition,
! [X0] :
( sQ224_spl
<=> ( ~ product(e_3,e_3,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2715,plain,
! [X0] :
( ~ sQ224_spl
| ~ product(e_3,e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f2714]) ).
fof(f2718,plain,
( ~ sQ97_spl
| sQ161_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f2686,f584,f954,f622]) ).
fof(f2719,plain,
( ~ sQ97_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f2687,f958,f622]) ).
fof(f2720,plain,
( ~ sQ97_spl
| sQ161_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f2688,f2714,f954,f622]) ).
fof(f2724,plain,
( ~ sQ97_spl
| sQ162_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f2695,f2714,f958,f622]) ).
fof(f2726,definition,
! [X0] :
( sQ225_spl
<=> ( ~ product(e_3,e_3,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f2727,plain,
! [X0] :
( ~ sQ225_spl
| ~ product(e_3,e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f2726]) ).
fof(f2729,plain,
( ~ sQ97_spl
| sQ164_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f2700,f2726,f966,f622]) ).
fof(f2733,plain,
( ~ sQ97_spl
| sQ161_spl
| ~ sQ151_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f2708,f590,f847,f954,f622]) ).
fof(f2736,plain,
! [X0] :
( ~ sQ225_spl
| ~ product(e_3,e_3,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2727]) ).
fof(f2738,plain,
( sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f592,f123]) ).
fof(f2739,plain,
sQ87_spl,
inference(contradiction_clause,[status(thm)],[f2738]) ).
fof(f2740,plain,
( ~ sQ202_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f1976,f123]) ).
fof(f2741,plain,
( ~ sQ46_spl
| ~ sQ96_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f620,f1000]) ).
fof(f2742,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f620,f144]) ).
fof(f2743,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f620,f142]) ).
fof(f2744,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f620,f142]) ).
fof(f2745,plain,
( ~ sQ96_spl
| equalish(e_3,e_1)
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f620,f167]) ).
fof(f2746,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f620,f140]) ).
fof(f2747,plain,
( ~ sQ96_spl
| equalish(e_2,e_1)
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f620,f148]) ).
fof(f2748,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f620,f138]) ).
fof(f2749,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f620,f122]) ).
fof(f2750,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_1,e_2)
| ~ product(e_3,e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f620,f136]) ).
fof(f2751,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f620,f136]) ).
fof(f2752,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f620,f134]) ).
fof(f2753,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f620,f120]) ).
fof(f2754,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f620,f118]) ).
fof(f2755,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,e_2)
| ~ product(e_3,e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f620,f127]) ).
fof(f2756,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| equalish(X1,e_2)
| ~ product(e_1,X0,X1)
| ~ product(e_3,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f620,f127]) ).
fof(f2757,plain,
( ~ sQ96_spl
| equalish(e_2,e_3)
| ~ product(e_1,e_1,e_3)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f620,f127]) ).
fof(f2758,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| equalish(e_2,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f620,f127]) ).
fof(f2760,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| equalish(X1,e_3)
| ~ product(X2,e_1,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f620,f127]) ).
fof(f2761,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f620,f125]) ).
fof(f2762,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,X1)
| ~ product(e_3,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f620,f125]) ).
fof(f2763,plain,
( ~ sQ96_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_1,e_3)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f620,f125]) ).
fof(f2764,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| equalish(e_3,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f620,f125]) ).
fof(f2766,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f620,f125]) ).
fof(f2767,plain,
( ~ sQ46_spl
| ~ sQ96_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f2741,f970,f619,f449]) ).
fof(f2768,definition,
! [X0] :
( sQ226_spl
<=> ( ~ product(e_3,e_2,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f2769,plain,
! [X0] :
( ~ sQ226_spl
| ~ product(e_3,e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f2768]) ).
fof(f2771,plain,
( ~ sQ96_spl
| sQ162_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f2743,f2768,f958,f619]) ).
fof(f2772,plain,
( ~ sQ96_spl
| sQ161_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f2745,f669,f954,f619]) ).
fof(f2773,plain,
( ~ sQ96_spl
| sQ161_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f2746,f2768,f954,f619]) ).
fof(f2774,plain,
( ~ sQ96_spl
| sQ167_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f2747,f669,f1020,f619]) ).
fof(f2775,plain,
( ~ sQ96_spl
| sQ168_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f2750,f2768,f1024,f619]) ).
fof(f2776,plain,
( ~ sQ96_spl
| sQ167_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f2752,f2768,f1020,f619]) ).
fof(f2777,definition,
! [X0] :
( sQ227_spl
<=> ( ~ product(e_3,e_2,X0)
| ~ product(e_3,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f2778,plain,
! [X0] :
( ~ sQ227_spl
| ~ product(e_3,e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(component_clause,[status(thm)],[f2777]) ).
fof(f2780,plain,
( ~ sQ96_spl
| sQ170_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f2755,f2777,f1032,f619]) ).
fof(f2781,plain,
( ~ sQ96_spl
| sQ183_spl
| ~ sQ151_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f2757,f672,f847,f1272,f619]) ).
fof(f2783,plain,
( ~ sQ96_spl
| sQ164_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f2761,f2777,f966,f619]) ).
fof(f2784,plain,
( ~ sQ96_spl
| sQ161_spl
| ~ sQ151_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f2763,f672,f847,f954,f619]) ).
fof(f2786,plain,
( ~ sQ112_spl
| ~ sQ227_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f676,f2789]) ).
fof(f2787,plain,
( ~ sQ113_spl
| ~ sQ227_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f679,f2789]) ).
fof(f2788,plain,
( ~ sQ114_spl
| ~ sQ227_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f682,f2789]) ).
fof(f2789,plain,
! [X0] :
( ~ sQ227_spl
| ~ product(e_3,e_2,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2778]) ).
fof(f2790,plain,
( ~ sQ112_spl
| ~ sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f2786]) ).
fof(f2791,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f617,f144]) ).
fof(f2792,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f617,f142]) ).
fof(f2793,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f617,f142]) ).
fof(f2796,plain,
( ~ sQ95_spl
| equalish(e_1,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f617,f148]) ).
fof(f2798,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f617,f122]) ).
fof(f2799,plain,
( ~ sQ95_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f617,f146]) ).
fof(f2800,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,e_1)
| ~ product(e_3,e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f617,f136]) ).
fof(f2801,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f617,f136]) ).
fof(f2803,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f617,f120]) ).
fof(f2804,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f617,f118]) ).
fof(f2805,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,e_1)
| ~ product(e_3,e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f617,f127]) ).
fof(f2806,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(X1,e_1)
| ~ product(e_1,X0,X1)
| ~ product(e_3,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f617,f127]) ).
fof(f2808,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(e_1,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f617,f127]) ).
fof(f2810,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(X1,e_3)
| ~ product(X2,e_1,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f617,f127]) ).
fof(f2811,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f617,f125]) ).
fof(f2812,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,X1)
| ~ product(e_3,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f617,f125]) ).
fof(f2814,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(e_3,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f617,f125]) ).
fof(f2816,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f617,f125]) ).
fof(f2817,definition,
! [X0] :
( sQ228_spl
<=> ( ~ product(e_3,e_1,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f2818,plain,
! [X0] :
( ~ sQ228_spl
| ~ product(e_3,e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f2817]) ).
fof(f2820,plain,
( ~ sQ95_spl
| sQ162_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f2792,f2817,f958,f616]) ).
fof(f2823,plain,
( ~ sQ95_spl
| sQ173_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f2796,f809,f1093,f616]) ).
fof(f2824,plain,
( ~ sQ95_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f2799,f954,f616]) ).
fof(f2825,plain,
( ~ sQ95_spl
| sQ173_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f2800,f2817,f1093,f616]) ).
fof(f2827,definition,
! [X0] :
( sQ229_spl
<=> ( ~ product(e_3,e_1,X0)
| ~ product(e_3,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2828,plain,
! [X0] :
( ~ sQ229_spl
| ~ product(e_3,e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(component_clause,[status(thm)],[f2827]) ).
fof(f2830,plain,
( ~ sQ95_spl
| sQ173_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f2805,f2827,f1093,f616]) ).
fof(f2833,plain,
( ~ sQ95_spl
| sQ164_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f2811,f2827,f966,f616]) ).
fof(f2836,plain,
( ~ sQ140_spl
| ~ sQ229_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f813,f2840]) ).
fof(f2837,plain,
( ~ sQ141_spl
| ~ sQ229_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f816,f2840]) ).
fof(f2838,plain,
( ~ sQ142_spl
| ~ sQ229_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f819,f2840]) ).
fof(f2839,plain,
( ~ sQ143_spl
| ~ sQ229_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f822,f2840]) ).
fof(f2840,plain,
! [X0] :
( ~ sQ229_spl
| ~ product(e_3,e_1,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2828]) ).
fof(f2841,plain,
( ~ sQ140_spl
| ~ sQ229_spl ),
inference(contradiction_clause,[status(thm)],[f2836]) ).
fof(f2842,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f613,f144]) ).
fof(f2843,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_5,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f613,f142]) ).
fof(f2844,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f613,f142]) ).
fof(f2845,plain,
( ~ sQ94_spl
| equalish(e_3,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f613,f167]) ).
fof(f2846,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f613,f140]) ).
fof(f2847,plain,
( ~ sQ94_spl
| equalish(e_5,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f613,f148]) ).
fof(f2848,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f613,f138]) ).
fof(f2849,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f613,f122]) ).
fof(f2850,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,e_5)
| ~ product(e_3,e_5,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f613,f136]) ).
fof(f2851,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f613,f136]) ).
fof(f2852,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f613,f134]) ).
fof(f2853,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f613,f120]) ).
fof(f2854,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f613,f118]) ).
fof(f2855,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_5,e_5)
| ~ product(e_3,e_5,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f613,f127]) ).
fof(f2856,plain,
! [X0,X1,X2] :
( ~ sQ94_spl
| equalish(X1,e_5)
| ~ product(e_2,X0,X1)
| ~ product(e_3,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f613,f127]) ).
fof(f2857,plain,
( ~ sQ94_spl
| equalish(e_5,e_3)
| ~ product(e_2,e_2,e_3)
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f613,f127]) ).
fof(f2858,plain,
! [X0,X1,X2] :
( ~ sQ94_spl
| equalish(e_5,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f613,f127]) ).
fof(f2860,plain,
! [X0,X1,X2] :
( ~ sQ94_spl
| equalish(X1,e_3)
| ~ product(X2,e_2,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f613,f127]) ).
fof(f2861,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_5,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f613,f125]) ).
fof(f2862,plain,
! [X0,X1,X2] :
( ~ sQ94_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,X1)
| ~ product(e_3,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f613,f125]) ).
fof(f2863,plain,
( ~ sQ94_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_2,e_3)
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f613,f125]) ).
fof(f2864,plain,
! [X0,X1,X2] :
( ~ sQ94_spl
| equalish(e_3,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f613,f125]) ).
fof(f2866,plain,
! [X0,X1,X2] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f613,f125]) ).
fof(f2867,definition,
! [X0] :
( sQ230_spl
<=> ( ~ product(e_3,e_5,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2868,plain,
! [X0] :
( ~ sQ230_spl
| ~ product(e_3,e_5,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f2867]) ).
fof(f2870,plain,
( ~ sQ94_spl
| sQ183_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2843,f2867,f1272,f612]) ).
fof(f2871,plain,
( ~ sQ94_spl
| sQ182_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2845,f417,f1268,f612]) ).
fof(f2872,plain,
( ~ sQ94_spl
| sQ182_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2846,f2867,f1268,f612]) ).
fof(f2873,plain,
( ~ sQ94_spl
| sQ176_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2847,f417,f1153,f612]) ).
fof(f2874,plain,
( ~ sQ94_spl
| sQ171_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2850,f2867,f1036,f612]) ).
fof(f2875,plain,
( ~ sQ94_spl
| sQ176_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2852,f2867,f1153,f612]) ).
fof(f2876,plain,
( ~ sQ94_spl
| sQ125_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f2855,f2622,f749,f612]) ).
fof(f2877,plain,
( ~ sQ94_spl
| sQ187_spl
| ~ sQ117_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2857,f426,f691,f1432,f612]) ).
fof(f2879,plain,
( ~ sQ94_spl
| sQ164_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f2861,f2622,f966,f612]) ).
fof(f2880,plain,
( ~ sQ94_spl
| sQ182_spl
| ~ sQ117_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2863,f426,f691,f1268,f612]) ).
fof(f2882,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f610,f144]) ).
fof(f2883,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f610,f142]) ).
fof(f2884,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f610,f142]) ).
fof(f2885,plain,
( ~ sQ93_spl
| equalish(e_3,e_2)
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f610,f167]) ).
fof(f2886,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f610,f140]) ).
fof(f2887,plain,
( ~ sQ93_spl
| equalish(e_4,e_2)
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f610,f148]) ).
fof(f2888,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f610,f138]) ).
fof(f2889,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f610,f122]) ).
fof(f2890,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,e_4)
| ~ product(e_3,e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f610,f136]) ).
fof(f2891,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f610,f136]) ).
fof(f2892,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f610,f134]) ).
fof(f2893,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f610,f120]) ).
fof(f2894,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f610,f118]) ).
fof(f2895,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_4,e_4)
| ~ product(e_3,e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f610,f127]) ).
fof(f2896,plain,
! [X0,X1,X2] :
( ~ sQ93_spl
| equalish(X1,e_4)
| ~ product(e_2,X0,X1)
| ~ product(e_3,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f610,f127]) ).
fof(f2897,plain,
( ~ sQ93_spl
| equalish(e_4,e_3)
| ~ product(e_2,e_2,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f610,f127]) ).
fof(f2898,plain,
! [X0,X1,X2] :
( ~ sQ93_spl
| equalish(e_4,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f610,f127]) ).
fof(f2900,plain,
! [X0,X1,X2] :
( ~ sQ93_spl
| equalish(X1,e_3)
| ~ product(X2,e_2,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f610,f127]) ).
fof(f2901,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f610,f125]) ).
fof(f2902,plain,
! [X0,X1,X2] :
( ~ sQ93_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,X1)
| ~ product(e_3,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f610,f125]) ).
fof(f2903,plain,
( ~ sQ93_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_2,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f610,f125]) ).
fof(f2904,plain,
! [X0,X1,X2] :
( ~ sQ93_spl
| equalish(e_3,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f610,f125]) ).
fof(f2906,plain,
! [X0,X1,X2] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f610,f125]) ).
fof(f2907,definition,
! [X0] :
( sQ231_spl
<=> ( ~ product(e_3,e_4,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2908,plain,
! [X0] :
( ~ sQ231_spl
| ~ product(e_3,e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f2907]) ).
fof(f2910,plain,
( ~ sQ93_spl
| sQ183_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2883,f2907,f1272,f609]) ).
fof(f2911,plain,
( ~ sQ93_spl
| sQ182_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2885,f502,f1268,f609]) ).
fof(f2912,plain,
( ~ sQ93_spl
| sQ182_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2886,f2907,f1268,f609]) ).
fof(f2913,plain,
( ~ sQ93_spl
| sQ179_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2887,f502,f1210,f609]) ).
fof(f2914,plain,
( ~ sQ93_spl
| sQ180_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2890,f2907,f1214,f609]) ).
fof(f2915,plain,
( ~ sQ93_spl
| sQ179_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2892,f2907,f1210,f609]) ).
fof(f2916,plain,
( ~ sQ93_spl
| sQ158_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f2895,f2668,f900,f609]) ).
fof(f2917,plain,
( ~ sQ93_spl
| sQ189_spl
| ~ sQ117_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f2897,f508,f691,f1482,f609]) ).
fof(f2919,plain,
( ~ sQ93_spl
| sQ164_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f2901,f2668,f966,f609]) ).
fof(f2920,plain,
( ~ sQ93_spl
| sQ182_spl
| ~ sQ117_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f2903,f508,f691,f1268,f609]) ).
fof(f2922,plain,
( ~ sQ92_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f607,f144]) ).
fof(f2923,plain,
! [X0,X1] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f607,f144]) ).
fof(f2925,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f607,f144]) ).
fof(f2928,plain,
( ~ sQ92_spl
| equalish(e_3,e_2)
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f607,f167]) ).
fof(f2929,plain,
( ~ sQ92_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f607,f160]) ).
fof(f2930,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f607,f140]) ).
fof(f2933,plain,
! [X0,X1] :
( ~ sQ92_spl
| equalish(X1,e_3)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f607,f138]) ).
fof(f2936,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f607,f122]) ).
fof(f2937,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f607,f136]) ).
fof(f2938,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f607,f136]) ).
fof(f2940,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f607,f120]) ).
fof(f2941,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f607,f118]) ).
fof(f2942,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f607,f127]) ).
fof(f2943,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| equalish(X1,e_3)
| ~ product(e_2,X0,X1)
| ~ product(e_3,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f607,f127]) ).
fof(f2945,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| equalish(e_3,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f607,f127]) ).
fof(f2947,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| equalish(X1,e_3)
| ~ product(X2,e_2,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f607,f127]) ).
fof(f2949,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,X1)
| ~ product(e_3,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f607,f125]) ).
fof(f2950,plain,
( ~ sQ92_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_2,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f607,f125]) ).
fof(f2951,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| equalish(e_3,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f607,f125]) ).
fof(f2953,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f607,f125]) ).
fof(f2954,plain,
( ~ sQ92_spl
| sQ164_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f2922,f590,f966,f606]) ).
fof(f2956,definition,
! [X0] :
( sQ232_spl
<=> ( ~ product(e_3,e_3,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2957,plain,
! [X0] :
( ~ sQ232_spl
| ~ product(e_3,e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f2956]) ).
fof(f2960,plain,
( ~ sQ92_spl
| sQ182_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f2928,f587,f1268,f606]) ).
fof(f2961,plain,
( ~ sQ92_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f2929,f1272,f606]) ).
fof(f2962,plain,
( ~ sQ92_spl
| sQ182_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f2930,f2956,f1268,f606]) ).
fof(f2966,plain,
( ~ sQ92_spl
| sQ183_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f2937,f2956,f1272,f606]) ).
fof(f2968,plain,
( ~ sQ92_spl
| sQ164_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f2942,f2726,f966,f606]) ).
fof(f2972,plain,
( ~ sQ92_spl
| sQ182_spl
| ~ sQ117_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f2950,f590,f691,f1268,f606]) ).
fof(f2974,plain,
! [X0] :
( ~ sQ91_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f604,f144]) ).
fof(f2975,plain,
! [X0] :
( ~ sQ91_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f604,f142]) ).
fof(f2976,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f604,f142]) ).
fof(f2979,plain,
( ~ sQ91_spl
| equalish(e_2,e_2)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f604,f148]) ).
fof(f2981,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f604,f122]) ).
fof(f2982,plain,
( ~ sQ91_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f604,f146]) ).
fof(f2983,plain,
! [X0] :
( ~ sQ91_spl
| equalish(e_2,e_2)
| ~ product(e_3,e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f604,f136]) ).
fof(f2984,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f604,f136]) ).
fof(f2986,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f604,f120]) ).
fof(f2987,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f604,f118]) ).
fof(f2988,plain,
! [X0] :
( ~ sQ91_spl
| equalish(e_2,e_2)
| ~ product(e_3,e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f604,f127]) ).
fof(f2989,plain,
! [X0,X1,X2] :
( ~ sQ91_spl
| equalish(X1,e_2)
| ~ product(e_2,X0,X1)
| ~ product(e_3,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f604,f127]) ).
fof(f2991,plain,
! [X0,X1,X2] :
( ~ sQ91_spl
| equalish(e_2,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f604,f127]) ).
fof(f2993,plain,
! [X0,X1,X2] :
( ~ sQ91_spl
| equalish(X1,e_3)
| ~ product(X2,e_2,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f604,f127]) ).
fof(f2994,plain,
! [X0] :
( ~ sQ91_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f604,f125]) ).
fof(f2995,plain,
! [X0,X1,X2] :
( ~ sQ91_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,X1)
| ~ product(e_3,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f604,f125]) ).
fof(f2997,plain,
! [X0,X1,X2] :
( ~ sQ91_spl
| equalish(e_3,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f604,f125]) ).
fof(f2999,plain,
! [X0,X1,X2] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f604,f125]) ).
fof(f3000,definition,
! [X0] :
( sQ233_spl
<=> ( ~ product(e_3,e_2,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f3001,plain,
! [X0] :
( ~ sQ233_spl
| ~ product(e_3,e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f3000]) ).
fof(f3003,plain,
( ~ sQ91_spl
| sQ183_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f2975,f3000,f1272,f603]) ).
fof(f3006,plain,
( ~ sQ91_spl
| sQ170_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f2979,f672,f1032,f603]) ).
fof(f3007,plain,
( ~ sQ91_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f2982,f1268,f603]) ).
fof(f3008,plain,
( ~ sQ91_spl
| sQ170_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f2983,f3000,f1032,f603]) ).
fof(f3010,plain,
( ~ sQ91_spl
| sQ170_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f2988,f2777,f1032,f603]) ).
fof(f3013,plain,
( ~ sQ91_spl
| sQ164_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f2994,f2777,f966,f603]) ).
fof(f3017,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f601,f144]) ).
fof(f3018,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f601,f142]) ).
fof(f3019,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f601,f142]) ).
fof(f3020,plain,
( ~ sQ90_spl
| equalish(e_3,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f601,f167]) ).
fof(f3021,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f601,f140]) ).
fof(f3022,plain,
( ~ sQ90_spl
| equalish(e_1,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f601,f148]) ).
fof(f3023,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f601,f138]) ).
fof(f3024,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f601,f122]) ).
fof(f3025,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,e_1)
| ~ product(e_3,e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f601,f136]) ).
fof(f3026,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f601,f136]) ).
fof(f3027,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f601,f134]) ).
fof(f3028,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f601,f120]) ).
fof(f3029,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f601,f118]) ).
fof(f3030,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_1,e_1)
| ~ product(e_3,e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f601,f127]) ).
fof(f3031,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(X1,e_1)
| ~ product(e_2,X0,X1)
| ~ product(e_3,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f601,f127]) ).
fof(f3032,plain,
( ~ sQ90_spl
| equalish(e_1,e_3)
| ~ product(e_2,e_2,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f601,f127]) ).
fof(f3033,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(e_1,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f601,f127]) ).
fof(f3035,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(X1,e_3)
| ~ product(X2,e_2,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f601,f127]) ).
fof(f3036,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f601,f125]) ).
fof(f3037,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,X1)
| ~ product(e_3,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f601,f125]) ).
fof(f3038,plain,
( ~ sQ90_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_2,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f601,f125]) ).
fof(f3039,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(e_3,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f601,f125]) ).
fof(f3041,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f601,f125]) ).
fof(f3042,definition,
! [X0] :
( sQ234_spl
<=> ( ~ product(e_3,e_1,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f3043,plain,
! [X0] :
( ~ sQ234_spl
| ~ product(e_3,e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f3042]) ).
fof(f3045,plain,
( ~ sQ90_spl
| sQ183_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f3018,f3042,f1272,f600]) ).
fof(f3046,plain,
( ~ sQ90_spl
| sQ182_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f3020,f812,f1268,f600]) ).
fof(f3047,plain,
( ~ sQ90_spl
| sQ182_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f3021,f3042,f1268,f600]) ).
fof(f3048,plain,
( ~ sQ90_spl
| sQ168_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f3022,f812,f1024,f600]) ).
fof(f3049,plain,
( ~ sQ90_spl
| sQ167_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f3025,f3042,f1020,f600]) ).
fof(f3050,plain,
( ~ sQ90_spl
| sQ168_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f3027,f3042,f1024,f600]) ).
fof(f3051,plain,
( ~ sQ90_spl
| sQ173_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f3030,f2827,f1093,f600]) ).
fof(f3052,plain,
( ~ sQ90_spl
| sQ162_spl
| ~ sQ117_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f3032,f809,f691,f958,f600]) ).
fof(f3054,plain,
( ~ sQ90_spl
| sQ164_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f3036,f2827,f966,f600]) ).
fof(f3055,plain,
( ~ sQ90_spl
| sQ182_spl
| ~ sQ117_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f3038,f809,f691,f1268,f600]) ).
fof(f3057,plain,
( ~ sQ141_spl
| ~ sQ229_spl ),
inference(contradiction_clause,[status(thm)],[f2837]) ).
fof(f3058,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f714,f144]) ).
fof(f3059,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_5,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f714,f142]) ).
fof(f3060,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f714,f142]) ).
fof(f3061,plain,
( ~ sQ124_spl
| equalish(e_2,e_1)
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f714,f167]) ).
fof(f3062,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f714,f140]) ).
fof(f3063,plain,
( ~ sQ124_spl
| equalish(e_5,e_1)
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f714,f148]) ).
fof(f3064,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f714,f138]) ).
fof(f3065,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f714,f122]) ).
fof(f3066,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,e_5)
| ~ product(e_2,e_5,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f714,f136]) ).
fof(f3067,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f714,f136]) ).
fof(f3068,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f714,f134]) ).
fof(f3069,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f714,f120]) ).
fof(f3070,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f714,f118]) ).
fof(f3071,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_5,e_5)
| ~ product(e_2,e_5,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f714,f127]) ).
fof(f3072,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(X1,e_5)
| ~ product(e_1,X0,X1)
| ~ product(e_2,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f714,f127]) ).
fof(f3073,plain,
( ~ sQ124_spl
| equalish(e_5,e_2)
| ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f714,f127]) ).
fof(f3074,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(e_5,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f714,f127]) ).
fof(f3076,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(X1,e_2)
| ~ product(X2,e_1,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f714,f127]) ).
fof(f3077,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_5,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f714,f125]) ).
fof(f3078,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,X1)
| ~ product(e_2,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f714,f125]) ).
fof(f3079,plain,
( ~ sQ124_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f714,f125]) ).
fof(f3080,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(e_2,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f714,f125]) ).
fof(f3082,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f714,f125]) ).
fof(f3083,definition,
! [X0] :
( sQ235_spl
<=> ( ~ product(e_2,e_5,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f3084,plain,
! [X0] :
( ~ sQ235_spl
| ~ product(e_2,e_5,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f3083]) ).
fof(f3086,plain,
( ~ sQ124_spl
| sQ168_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f3059,f3083,f1024,f713]) ).
fof(f3087,plain,
( ~ sQ124_spl
| sQ167_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f3061,f430,f1020,f713]) ).
fof(f3088,plain,
( ~ sQ124_spl
| sQ167_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f3062,f3083,f1020,f713]) ).
fof(f3089,plain,
( ~ sQ124_spl
| sQ128_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f3063,f430,f761,f713]) ).
fof(f3090,plain,
( ~ sQ124_spl
| sQ127_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f3066,f3083,f757,f713]) ).
fof(f3091,plain,
( ~ sQ124_spl
| sQ128_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f3068,f3083,f761,f713]) ).
fof(f3092,definition,
! [X0] :
( sQ236_spl
<=> ( ~ product(e_2,e_5,X0)
| ~ product(e_2,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f3093,plain,
! [X0] :
( ~ sQ236_spl
| ~ product(e_2,e_5,X0)
| ~ product(e_2,e_5,X0) ),
inference(component_clause,[status(thm)],[f3092]) ).
fof(f3095,plain,
( ~ sQ124_spl
| sQ125_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f3071,f3092,f749,f713]) ).
fof(f3096,plain,
( ~ sQ124_spl
| sQ176_spl
| ~ sQ150_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3073,f442,f844,f1153,f713]) ).
fof(f3098,plain,
( ~ sQ124_spl
| sQ170_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f3077,f3092,f1032,f713]) ).
fof(f3099,plain,
( ~ sQ124_spl
| sQ167_spl
| ~ sQ150_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3079,f442,f844,f1020,f713]) ).
fof(f3101,plain,
! [X0] :
( ~ sQ236_spl
| ~ product(e_2,e_5,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f3093]) ).
fof(f3102,plain,
( ~ sQ42_spl
| ~ sQ236_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f437,f3101]) ).
fof(f3103,plain,
( ~ sQ42_spl
| ~ sQ236_spl ),
inference(contradiction_clause,[status(thm)],[f3102]) ).
fof(f3104,plain,
( ~ sQ137_spl
| ~ sQ209_spl ),
inference(contradiction_clause,[status(thm)],[f2145]) ).
fof(f3105,plain,
( ~ sQ130_spl
| ~ sQ185_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f781,f1659]) ).
fof(f3106,plain,
( ~ sQ130_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f3105]) ).
fof(f3107,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f711,f144]) ).
fof(f3108,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f711,f142]) ).
fof(f3109,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f711,f142]) ).
fof(f3110,plain,
( ~ sQ123_spl
| equalish(e_2,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f711,f167]) ).
fof(f3111,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f711,f140]) ).
fof(f3112,plain,
( ~ sQ123_spl
| equalish(e_4,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f711,f148]) ).
fof(f3113,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f711,f138]) ).
fof(f3114,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f711,f122]) ).
fof(f3115,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,e_4)
| ~ product(e_2,e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f711,f136]) ).
fof(f3116,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f711,f136]) ).
fof(f3117,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f711,f134]) ).
fof(f3118,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f711,f120]) ).
fof(f3119,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f711,f118]) ).
fof(f3120,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_4,e_4)
| ~ product(e_2,e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f711,f127]) ).
fof(f3121,plain,
! [X0,X1,X2] :
( ~ sQ123_spl
| equalish(X1,e_4)
| ~ product(e_1,X0,X1)
| ~ product(e_2,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f711,f127]) ).
fof(f3122,plain,
( ~ sQ123_spl
| equalish(e_4,e_2)
| ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f711,f127]) ).
fof(f3123,plain,
! [X0,X1,X2] :
( ~ sQ123_spl
| equalish(e_4,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f711,f127]) ).
fof(f3125,plain,
! [X0,X1,X2] :
( ~ sQ123_spl
| equalish(X1,e_2)
| ~ product(X2,e_1,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f711,f127]) ).
fof(f3126,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f711,f125]) ).
fof(f3127,plain,
! [X0,X1,X2] :
( ~ sQ123_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,X1)
| ~ product(e_2,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f711,f125]) ).
fof(f3128,plain,
( ~ sQ123_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f711,f125]) ).
fof(f3129,plain,
! [X0,X1,X2] :
( ~ sQ123_spl
| equalish(e_2,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f711,f125]) ).
fof(f3131,plain,
! [X0,X1,X2] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f711,f125]) ).
fof(f3132,definition,
! [X0] :
( sQ237_spl
<=> ( ~ product(e_2,e_4,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f3133,plain,
! [X0] :
( ~ sQ237_spl
| ~ product(e_2,e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f3132]) ).
fof(f3135,plain,
( ~ sQ123_spl
| sQ168_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f3108,f3132,f1024,f710]) ).
fof(f3136,plain,
( ~ sQ123_spl
| sQ167_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f3110,f515,f1020,f710]) ).
fof(f3137,plain,
( ~ sQ123_spl
| sQ167_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f3111,f3132,f1020,f710]) ).
fof(f3138,plain,
( ~ sQ123_spl
| sQ155_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f3112,f515,f888,f710]) ).
fof(f3139,plain,
( ~ sQ123_spl
| sQ156_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f3115,f3132,f892,f710]) ).
fof(f3140,plain,
( ~ sQ123_spl
| sQ155_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f3117,f3132,f888,f710]) ).
fof(f3141,definition,
! [X0] :
( sQ238_spl
<=> ( ~ product(e_2,e_4,X0)
| ~ product(e_2,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f3142,plain,
! [X0] :
( ~ sQ238_spl
| ~ product(e_2,e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(component_clause,[status(thm)],[f3141]) ).
fof(f3144,plain,
( ~ sQ123_spl
| sQ158_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f3120,f3141,f900,f710]) ).
fof(f3145,plain,
( ~ sQ123_spl
| sQ179_spl
| ~ sQ150_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f3122,f524,f844,f1210,f710]) ).
fof(f3147,plain,
( ~ sQ123_spl
| sQ170_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f3126,f3141,f1032,f710]) ).
fof(f3148,plain,
( ~ sQ123_spl
| sQ167_spl
| ~ sQ150_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f3128,f524,f844,f1020,f710]) ).
fof(f3150,plain,
( ~ sQ65_spl
| ~ sQ238_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f516,f3151]) ).
fof(f3151,plain,
! [X0] :
( ~ sQ238_spl
| ~ product(e_2,e_4,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f3142]) ).
fof(f3152,plain,
( ~ sQ65_spl
| ~ sQ238_spl ),
inference(contradiction_clause,[status(thm)],[f3150]) ).
fof(f3153,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f708,f144]) ).
fof(f3154,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f708,f142]) ).
fof(f3155,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f708,f142]) ).
fof(f3156,plain,
( ~ sQ122_spl
| equalish(e_2,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f708,f167]) ).
fof(f3157,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f708,f140]) ).
fof(f3158,plain,
( ~ sQ122_spl
| equalish(e_3,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f708,f148]) ).
fof(f3159,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f708,f138]) ).
fof(f3160,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f708,f122]) ).
fof(f3161,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,e_3)
| ~ product(e_2,e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f708,f136]) ).
fof(f3162,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f708,f136]) ).
fof(f3163,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f708,f134]) ).
fof(f3164,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f708,f120]) ).
fof(f3165,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f708,f118]) ).
fof(f3166,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_3,e_3)
| ~ product(e_2,e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f708,f127]) ).
fof(f3167,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| equalish(X1,e_3)
| ~ product(e_1,X0,X1)
| ~ product(e_2,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f708,f127]) ).
fof(f3168,plain,
( ~ sQ122_spl
| equalish(e_3,e_2)
| ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f708,f127]) ).
fof(f3169,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| equalish(e_3,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f708,f127]) ).
fof(f3171,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| equalish(X1,e_2)
| ~ product(X2,e_1,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f708,f127]) ).
fof(f3172,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f708,f125]) ).
fof(f3173,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,X1)
| ~ product(e_2,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f708,f125]) ).
fof(f3174,plain,
( ~ sQ122_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f708,f125]) ).
fof(f3175,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| equalish(e_2,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f708,f125]) ).
fof(f3177,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f708,f125]) ).
fof(f3178,definition,
! [X0] :
( sQ239_spl
<=> ( ~ product(e_2,e_3,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f3179,plain,
! [X0] :
( ~ sQ239_spl
| ~ product(e_2,e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f3178]) ).
fof(f3181,plain,
( ~ sQ122_spl
| sQ168_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f3154,f3178,f1024,f707]) ).
fof(f3182,plain,
( ~ sQ122_spl
| sQ167_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3156,f600,f1020,f707]) ).
fof(f3183,plain,
( ~ sQ122_spl
| sQ167_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f3157,f3178,f1020,f707]) ).
fof(f3184,plain,
( ~ sQ122_spl
| sQ161_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3158,f600,f954,f707]) ).
fof(f3185,plain,
( ~ sQ122_spl
| sQ162_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f3161,f3178,f958,f707]) ).
fof(f3186,plain,
( ~ sQ122_spl
| sQ161_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f3163,f3178,f954,f707]) ).
fof(f3187,definition,
! [X0] :
( sQ240_spl
<=> ( ~ product(e_2,e_3,X0)
| ~ product(e_2,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f3188,plain,
! [X0] :
( ~ sQ240_spl
| ~ product(e_2,e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(component_clause,[status(thm)],[f3187]) ).
fof(f3190,plain,
( ~ sQ122_spl
| sQ164_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f3166,f3187,f966,f707]) ).
fof(f3191,plain,
( ~ sQ122_spl
| sQ182_spl
| ~ sQ150_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f3168,f606,f844,f1268,f707]) ).
fof(f3193,plain,
( ~ sQ122_spl
| sQ170_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f3172,f3187,f1032,f707]) ).
fof(f3194,plain,
( ~ sQ122_spl
| sQ167_spl
| ~ sQ150_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f3174,f606,f844,f1020,f707]) ).
fof(f3196,plain,
( ~ sQ90_spl
| ~ sQ240_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f601,f3197]) ).
fof(f3197,plain,
! [X0] :
( ~ sQ240_spl
| ~ product(e_2,e_3,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f3188]) ).
fof(f3198,plain,
( ~ sQ90_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f3196]) ).
fof(f3199,plain,
( ~ sQ46_spl
| ~ sQ121_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f705,f1000]) ).
fof(f3200,plain,
( ~ sQ121_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f705,f144]) ).
fof(f3201,plain,
! [X0,X1] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f705,f144]) ).
fof(f3203,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f705,f144]) ).
fof(f3206,plain,
( ~ sQ121_spl
| equalish(e_2,e_1)
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f705,f167]) ).
fof(f3207,plain,
( ~ sQ121_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f705,f160]) ).
fof(f3208,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f705,f140]) ).
fof(f3211,plain,
! [X0,X1] :
( ~ sQ121_spl
| equalish(X1,e_2)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f705,f138]) ).
fof(f3214,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f705,f122]) ).
fof(f3215,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f705,f136]) ).
fof(f3216,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f705,f136]) ).
fof(f3218,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f705,f120]) ).
fof(f3219,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f705,f118]) ).
fof(f3220,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f705,f127]) ).
fof(f3221,plain,
! [X0,X1,X2] :
( ~ sQ121_spl
| equalish(X1,e_2)
| ~ product(e_1,X0,X1)
| ~ product(e_2,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f705,f127]) ).
fof(f3223,plain,
! [X0,X1,X2] :
( ~ sQ121_spl
| equalish(e_2,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f705,f127]) ).
fof(f3225,plain,
! [X0,X1,X2] :
( ~ sQ121_spl
| equalish(X1,e_2)
| ~ product(X2,e_1,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f705,f127]) ).
fof(f3227,plain,
! [X0,X1,X2] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,X1)
| ~ product(e_2,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f705,f125]) ).
fof(f3228,plain,
( ~ sQ121_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f705,f125]) ).
fof(f3229,plain,
! [X0,X1,X2] :
( ~ sQ121_spl
| equalish(e_2,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f705,f125]) ).
fof(f3231,plain,
! [X0,X1,X2] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f705,f125]) ).
fof(f3232,plain,
( ~ sQ46_spl
| ~ sQ121_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f3199,f1036,f704,f449]) ).
fof(f3233,plain,
( ~ sQ121_spl
| sQ170_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f3200,f688,f1032,f704]) ).
fof(f3235,definition,
! [X0] :
( sQ241_spl
<=> ( ~ product(e_2,e_2,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f3236,plain,
! [X0] :
( ~ sQ241_spl
| ~ product(e_2,e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f3235]) ).
fof(f3239,plain,
( ~ sQ121_spl
| sQ167_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f3206,f685,f1020,f704]) ).
fof(f3240,plain,
( ~ sQ121_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f3207,f1024,f704]) ).
fof(f3241,plain,
( ~ sQ121_spl
| sQ167_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f3208,f3235,f1020,f704]) ).
fof(f3245,plain,
( ~ sQ121_spl
| sQ168_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f3215,f3235,f1024,f704]) ).
fof(f3247,definition,
! [X0] :
( sQ242_spl
<=> ( ~ product(e_2,e_2,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f3248,plain,
! [X0] :
( ~ sQ242_spl
| ~ product(e_2,e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f3247]) ).
fof(f3250,plain,
( ~ sQ121_spl
| sQ170_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f3220,f3247,f1032,f704]) ).
fof(f3254,plain,
( ~ sQ121_spl
| sQ167_spl
| ~ sQ150_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f3228,f688,f844,f1020,f704]) ).
fof(f3256,plain,
! [X0] :
( ~ sQ242_spl
| ~ product(e_2,e_2,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f3248]) ).
fof(f3257,plain,
! [X0] :
( ~ sQ120_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f702,f144]) ).
fof(f3258,plain,
! [X0] :
( ~ sQ120_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f702,f142]) ).
fof(f3259,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f702,f142]) ).
fof(f3262,plain,
( ~ sQ120_spl
| equalish(e_1,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f702,f148]) ).
fof(f3264,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f702,f122]) ).
fof(f3265,plain,
( ~ sQ120_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f702,f146]) ).
fof(f3266,plain,
! [X0] :
( ~ sQ120_spl
| equalish(e_1,e_1)
| ~ product(e_2,e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f702,f136]) ).
fof(f3267,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f702,f136]) ).
fof(f3269,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f702,f120]) ).
fof(f3270,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f702,f118]) ).
fof(f3271,plain,
! [X0] :
( ~ sQ120_spl
| equalish(e_1,e_1)
| ~ product(e_2,e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f702,f127]) ).
fof(f3272,plain,
! [X0,X1,X2] :
( ~ sQ120_spl
| equalish(X1,e_1)
| ~ product(e_1,X0,X1)
| ~ product(e_2,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f702,f127]) ).
fof(f3274,plain,
! [X0,X1,X2] :
( ~ sQ120_spl
| equalish(e_1,X2)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f702,f127]) ).
fof(f3276,plain,
! [X0,X1,X2] :
( ~ sQ120_spl
| equalish(X1,e_2)
| ~ product(X2,e_1,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f702,f127]) ).
fof(f3277,plain,
! [X0] :
( ~ sQ120_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f702,f125]) ).
fof(f3278,plain,
! [X0,X1,X2] :
( ~ sQ120_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,X1)
| ~ product(e_2,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f702,f125]) ).
fof(f3280,plain,
! [X0,X1,X2] :
( ~ sQ120_spl
| equalish(e_2,X1)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f702,f125]) ).
fof(f3282,plain,
! [X0,X1,X2] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product(X2,e_1,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f702,f125]) ).
fof(f3283,definition,
! [X0] :
( sQ243_spl
<=> ( ~ product(e_2,e_1,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f3284,plain,
! [X0] :
( ~ sQ243_spl
| ~ product(e_2,e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f3283]) ).
fof(f3286,plain,
( ~ sQ120_spl
| sQ168_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f3258,f3283,f1024,f701]) ).
fof(f3289,plain,
( ~ sQ120_spl
| sQ173_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f3262,f825,f1093,f701]) ).
fof(f3290,plain,
( ~ sQ120_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f3265,f1020,f701]) ).
fof(f3291,plain,
( ~ sQ120_spl
| sQ173_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f3266,f3283,f1093,f701]) ).
fof(f3293,definition,
! [X0] :
( sQ244_spl
<=> ( ~ product(e_2,e_1,X0)
| ~ product(e_2,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f3294,plain,
! [X0] :
( ~ sQ244_spl
| ~ product(e_2,e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(component_clause,[status(thm)],[f3293]) ).
fof(f3296,plain,
( ~ sQ120_spl
| sQ173_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f3271,f3293,f1093,f701]) ).
fof(f3299,plain,
( ~ sQ120_spl
| sQ170_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f3277,f3293,f1032,f701]) ).
fof(f3302,plain,
( ~ sQ145_spl
| ~ sQ244_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f829,f3306]) ).
fof(f3303,plain,
( ~ sQ146_spl
| ~ sQ244_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f832,f3306]) ).
fof(f3304,plain,
( ~ sQ147_spl
| ~ sQ244_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f835,f3306]) ).
fof(f3305,plain,
( ~ sQ148_spl
| ~ sQ244_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f838,f3306]) ).
fof(f3306,plain,
! [X0] :
( ~ sQ244_spl
| ~ product(e_2,e_1,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f3294]) ).
fof(f3307,plain,
( ~ sQ145_spl
| ~ sQ244_spl ),
inference(contradiction_clause,[status(thm)],[f3302]) ).
fof(f3308,plain,
( ~ sQ242_spl
| $false ),
inference(resolution,[status(thm)],[f3256,f123]) ).
fof(f3309,plain,
~ sQ242_spl,
inference(contradiction_clause,[status(thm)],[f3308]) ).
fof(f3310,plain,
( ~ sQ198_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f1835,f123]) ).
fof(f3311,plain,
( ~ sQ198_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3310,f646,f1834]) ).
fof(f3312,plain,
( ~ sQ102_spl
| ~ sQ192_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f644,f1665]) ).
fof(f3313,plain,
( ~ sQ102_spl
| ~ sQ192_spl ),
inference(contradiction_clause,[status(thm)],[f3312]) ).
fof(f3314,plain,
! [X0,X1] :
( ~ sQ30_spl
| ~ sQ133_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f790,f1874]) ).
fof(f3315,plain,
! [X0,X1] :
( ~ sQ30_spl
| ~ sQ133_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f790,f1872]) ).
fof(f3316,plain,
! [X0,X1] :
( ~ sQ30_spl
| ~ sQ133_spl
| equalish(e_1,X1)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f790,f1868]) ).
fof(f3317,plain,
! [X0,X1] :
( ~ sQ30_spl
| ~ sQ133_spl
| equalish(X1,e_1)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f790,f1866]) ).
fof(f3319,plain,
( ~ sQ30_spl
| ~ sQ133_spl
| equalish(e_5,e_5)
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f790,f1852]) ).
fof(f3320,plain,
( ~ sQ133_spl
| ~ greater(e_5,e_5) ),
inference(resolution,[status(thm)],[f790,f275]) ).
fof(f3321,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ133_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f790,f1013]) ).
fof(f3322,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ133_spl
| equalish(X1,e_5)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f790,f1007]) ).
fof(f3323,plain,
( ~ sQ46_spl
| ~ sQ133_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f790,f998]) ).
fof(f3324,plain,
( ~ sQ46_spl
| ~ sQ133_spl
| equalish(e_5,e_1)
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f790,f991]) ).
fof(f3325,plain,
! [X0] :
( ~ sQ133_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f790,f144]) ).
fof(f3326,plain,
! [X0] :
( ~ sQ133_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f790,f142]) ).
fof(f3327,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f790,f142]) ).
fof(f3332,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f790,f122]) ).
fof(f3333,plain,
( ~ sQ133_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f790,f146]) ).
fof(f3334,plain,
! [X0] :
( ~ sQ133_spl
| equalish(e_5,e_5)
| ~ product(e_1,e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f790,f136]) ).
fof(f3335,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f790,f136]) ).
fof(f3337,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f790,f120]) ).
fof(f3338,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f790,f118]) ).
fof(f3339,plain,
! [X0] :
( ~ sQ133_spl
| equalish(e_5,e_5)
| ~ product(e_1,e_5,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f790,f127]) ).
fof(f3340,plain,
! [X0,X1,X2] :
( ~ sQ133_spl
| equalish(X1,e_5)
| ~ product(e_5,X0,X1)
| ~ product(e_1,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f790,f127]) ).
fof(f3342,plain,
! [X0,X1,X2] :
( ~ sQ133_spl
| equalish(e_5,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f790,f127]) ).
fof(f3344,plain,
! [X0,X1,X2] :
( ~ sQ133_spl
| equalish(X1,e_1)
| ~ product(X2,e_5,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f790,f127]) ).
fof(f3345,plain,
! [X0] :
( ~ sQ133_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_5,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f790,f125]) ).
fof(f3346,plain,
! [X0,X1,X2] :
( ~ sQ133_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,X1)
| ~ product(e_1,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f790,f125]) ).
fof(f3348,plain,
! [X0,X1,X2] :
( ~ sQ133_spl
| equalish(e_1,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f790,f125]) ).
fof(f3350,plain,
! [X0,X1,X2] :
( ~ sQ133_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f790,f125]) ).
fof(f3352,plain,
( ~ sQ30_spl
| ~ sQ133_spl
| sQ125_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f3319,f410,f749,f789,f398]) ).
fof(f3353,plain,
( ~ sQ46_spl
| ~ sQ133_spl
| sQ125_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f3323,f385,f749,f789,f449]) ).
fof(f3354,plain,
( ~ sQ46_spl
| ~ sQ133_spl
| sQ128_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f3324,f385,f761,f789,f449]) ).
fof(f3355,definition,
! [X0] :
( sQ245_spl
<=> ( ~ product(e_1,e_5,X0)
| ~ product(e_5,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f3356,plain,
! [X0] :
( ~ sQ245_spl
| ~ product(e_1,e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(component_clause,[status(thm)],[f3355]) ).
fof(f3358,plain,
( ~ sQ133_spl
| sQ128_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f3326,f3355,f761,f789]) ).
fof(f3362,plain,
( ~ sQ133_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f3333,f757,f789]) ).
fof(f3363,plain,
( ~ sQ133_spl
| sQ125_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f3334,f3355,f749,f789]) ).
fof(f3365,definition,
! [X0] :
( sQ246_spl
<=> ( ~ product(e_1,e_5,X0)
| ~ product(e_1,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f3366,plain,
! [X0] :
( ~ sQ246_spl
| ~ product(e_1,e_5,X0)
| ~ product(e_1,e_5,X0) ),
inference(component_clause,[status(thm)],[f3365]) ).
fof(f3368,plain,
( ~ sQ133_spl
| sQ125_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f3339,f3365,f749,f789]) ).
fof(f3371,plain,
( ~ sQ133_spl
| sQ173_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f3345,f3365,f1093,f789]) ).
fof(f3374,plain,
( ~ sQ46_spl
| ~ sQ246_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f450,f3375]) ).
fof(f3375,plain,
! [X0] :
( ~ sQ246_spl
| ~ product(e_1,e_5,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f3366]) ).
fof(f3376,plain,
( ~ sQ46_spl
| ~ sQ246_spl ),
inference(contradiction_clause,[status(thm)],[f3374]) ).
fof(f3377,plain,
( ~ sQ197_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f1791,f123]) ).
fof(f3378,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f553,f144]) ).
fof(f3379,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_1,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f553,f142]) ).
fof(f3380,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f553,f142]) ).
fof(f3381,plain,
( ~ sQ75_spl
| equalish(e_3,e_5)
| ~ product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f553,f167]) ).
fof(f3382,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f553,f140]) ).
fof(f3383,plain,
( ~ sQ75_spl
| equalish(e_1,e_5)
| ~ product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f553,f148]) ).
fof(f3384,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f553,f138]) ).
fof(f3385,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f553,f122]) ).
fof(f3386,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_5,e_1)
| ~ product(e_3,e_1,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f553,f136]) ).
fof(f3387,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f553,f136]) ).
fof(f3388,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f553,f134]) ).
fof(f3389,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f553,f120]) ).
fof(f3390,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f553,f118]) ).
fof(f3391,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,e_1)
| ~ product(e_3,e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f553,f127]) ).
fof(f3392,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(X1,e_1)
| ~ product(e_5,X0,X1)
| ~ product(e_3,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f553,f127]) ).
fof(f3393,plain,
( ~ sQ75_spl
| equalish(e_1,e_3)
| ~ product(e_5,e_5,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f553,f127]) ).
fof(f3394,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(e_1,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f553,f127]) ).
fof(f3396,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(X1,e_3)
| ~ product(X2,e_5,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f553,f127]) ).
fof(f3397,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f553,f125]) ).
fof(f3398,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,X1)
| ~ product(e_3,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f553,f125]) ).
fof(f3399,plain,
( ~ sQ75_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_5,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f553,f125]) ).
fof(f3400,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(e_3,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f553,f125]) ).
fof(f3402,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f553,f125]) ).
fof(f3403,definition,
! [X0] :
( sQ247_spl
<=> ( ~ product(e_3,e_1,X0)
| ~ product(e_5,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f3404,plain,
! [X0] :
( ~ sQ247_spl
| ~ product(e_3,e_1,X0)
| ~ product(e_5,e_5,X0) ),
inference(component_clause,[status(thm)],[f3403]) ).
fof(f3406,plain,
( ~ sQ75_spl
| sQ187_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f3379,f3403,f1432,f552]) ).
fof(f3407,plain,
( ~ sQ75_spl
| sQ165_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f3381,f821,f970,f552]) ).
fof(f3408,plain,
( ~ sQ75_spl
| sQ165_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f3382,f3403,f970,f552]) ).
fof(f3409,plain,
( ~ sQ75_spl
| sQ127_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f3383,f821,f757,f552]) ).
fof(f3410,plain,
( ~ sQ75_spl
| sQ128_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f3386,f3403,f761,f552]) ).
fof(f3411,plain,
( ~ sQ75_spl
| sQ127_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f3388,f3403,f757,f552]) ).
fof(f3412,plain,
( ~ sQ75_spl
| sQ173_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f3391,f2827,f1093,f552]) ).
fof(f3413,plain,
( ~ sQ75_spl
| sQ162_spl
| ~ sQ27_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f3393,f809,f388,f958,f552]) ).
fof(f3415,plain,
( ~ sQ75_spl
| sQ164_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f3397,f2827,f966,f552]) ).
fof(f3416,plain,
( ~ sQ75_spl
| sQ165_spl
| ~ sQ27_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f3399,f809,f388,f970,f552]) ).
fof(f3418,plain,
( ~ sQ197_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3377,f561,f1790]) ).
fof(f3419,plain,
( ~ sQ181_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f1511,f555,f1262]) ).
fof(f3420,plain,
( ~ sQ191_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f1664,f558,f1541]) ).
fof(f3421,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ50_spl
| equalish(X1,e_4)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f468,f1465]) ).
fof(f3422,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ50_spl
| equalish(e_4,X1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f468,f1467]) ).
fof(f3423,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ50_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f468,f1471]) ).
fof(f3424,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ50_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f468,f1473]) ).
fof(f3425,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f468,f144]) ).
fof(f3426,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_1,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f468,f142]) ).
fof(f3427,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f468,f142]) ).
fof(f3428,plain,
( ~ sQ50_spl
| equalish(e_4,e_5)
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f468,f167]) ).
fof(f3429,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f468,f140]) ).
fof(f3430,plain,
( ~ sQ50_spl
| equalish(e_1,e_5)
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f468,f148]) ).
fof(f3431,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f468,f138]) ).
fof(f3432,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f468,f122]) ).
fof(f3433,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_5,e_1)
| ~ product(e_4,e_1,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f468,f136]) ).
fof(f3434,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f468,f136]) ).
fof(f3435,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f468,f134]) ).
fof(f3436,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f468,f120]) ).
fof(f3437,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f468,f118]) ).
fof(f3438,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,e_1)
| ~ product(e_4,e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f468,f127]) ).
fof(f3439,plain,
! [X0,X1,X2] :
( ~ sQ50_spl
| equalish(X1,e_1)
| ~ product(e_5,X0,X1)
| ~ product(e_4,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f468,f127]) ).
fof(f3440,plain,
( ~ sQ50_spl
| equalish(e_1,e_4)
| ~ product(e_5,e_5,e_4)
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f468,f127]) ).
fof(f3441,plain,
! [X0,X1,X2] :
( ~ sQ50_spl
| equalish(e_1,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f468,f127]) ).
fof(f3443,plain,
! [X0,X1,X2] :
( ~ sQ50_spl
| equalish(X1,e_4)
| ~ product(X2,e_5,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f468,f127]) ).
fof(f3444,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f468,f125]) ).
fof(f3445,plain,
! [X0,X1,X2] :
( ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,X1)
| ~ product(e_4,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f468,f125]) ).
fof(f3446,plain,
( ~ sQ50_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_5,e_4)
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f468,f125]) ).
fof(f3447,plain,
! [X0,X1,X2] :
( ~ sQ50_spl
| equalish(e_4,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f468,f125]) ).
fof(f3449,plain,
! [X0,X1,X2] :
( ~ sQ50_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f468,f125]) ).
fof(f3450,definition,
! [X0] :
( sQ248_spl
<=> ( ~ product(e_4,e_1,X0)
| ~ product(e_5,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f3451,plain,
! [X0] :
( ~ sQ248_spl
| ~ product(e_4,e_1,X0)
| ~ product(e_5,e_5,X0) ),
inference(component_clause,[status(thm)],[f3450]) ).
fof(f3453,plain,
( ~ sQ50_spl
| sQ195_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f3426,f3450,f1704,f467]) ).
fof(f3454,plain,
( ~ sQ50_spl
| sQ159_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f3428,f805,f904,f467]) ).
fof(f3455,plain,
( ~ sQ50_spl
| sQ159_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f3429,f3450,f904,f467]) ).
fof(f3456,plain,
( ~ sQ50_spl
| sQ127_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f3430,f805,f757,f467]) ).
fof(f3457,plain,
( ~ sQ50_spl
| sQ128_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f3433,f3450,f761,f467]) ).
fof(f3458,plain,
( ~ sQ50_spl
| sQ127_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f3435,f3450,f757,f467]) ).
fof(f3459,plain,
( ~ sQ50_spl
| sQ173_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f3438,f2134,f1093,f467]) ).
fof(f3460,plain,
( ~ sQ50_spl
| sQ156_spl
| ~ sQ28_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f3440,f793,f391,f892,f467]) ).
fof(f3462,plain,
( ~ sQ50_spl
| sQ158_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f3444,f2134,f900,f467]) ).
fof(f3463,plain,
( ~ sQ50_spl
| sQ159_spl
| ~ sQ28_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f3446,f793,f391,f904,f467]) ).
fof(f3465,plain,
( ~ sQ177_spl
| $false ),
inference(resolution,[status(thm)],[f1177,f123]) ).
fof(f3466,plain,
~ sQ177_spl,
inference(contradiction_clause,[status(thm)],[f3465]) ).
fof(f3467,plain,
( ~ sQ196_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f1750,f123]) ).
fof(f3508,plain,
( ~ sQ204_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f2026,f123]) ).
fof(f3510,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ84_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f581,f1475]) ).
fof(f3511,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ84_spl
| equalish(X1,e_5)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f581,f1469]) ).
fof(f3512,plain,
( ~ sQ38_spl
| ~ sQ84_spl
| equalish(e_4,e_5)
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f581,f1460]) ).
fof(f3513,plain,
( ~ sQ38_spl
| ~ sQ84_spl
| equalish(e_4,e_3)
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f581,f1453]) ).
fof(f3514,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f581,f144]) ).
fof(f3515,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_5,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f581,f142]) ).
fof(f3516,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f581,f142]) ).
fof(f3517,plain,
( ~ sQ84_spl
| equalish(e_3,e_4)
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f581,f167]) ).
fof(f3518,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f581,f140]) ).
fof(f3519,plain,
( ~ sQ84_spl
| equalish(e_5,e_4)
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f581,f148]) ).
fof(f3520,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f581,f138]) ).
fof(f3521,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f581,f122]) ).
fof(f3522,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_4,e_5)
| ~ product(e_3,e_5,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f581,f136]) ).
fof(f3523,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f581,f136]) ).
fof(f3524,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f581,f134]) ).
fof(f3525,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f581,f120]) ).
fof(f3526,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f581,f118]) ).
fof(f3527,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_5,e_5)
| ~ product(e_3,e_5,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f581,f127]) ).
fof(f3528,plain,
! [X0,X1,X2] :
( ~ sQ84_spl
| equalish(X1,e_5)
| ~ product(e_4,X0,X1)
| ~ product(e_3,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f581,f127]) ).
fof(f3529,plain,
( ~ sQ84_spl
| equalish(e_5,e_3)
| ~ product(e_4,e_4,e_3)
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f581,f127]) ).
fof(f3530,plain,
! [X0,X1,X2] :
( ~ sQ84_spl
| equalish(e_5,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f581,f127]) ).
fof(f3532,plain,
! [X0,X1,X2] :
( ~ sQ84_spl
| equalish(X1,e_3)
| ~ product(X2,e_4,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f581,f127]) ).
fof(f3533,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_5,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f581,f125]) ).
fof(f3534,plain,
! [X0,X1,X2] :
( ~ sQ84_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,X1)
| ~ product(e_3,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f581,f125]) ).
fof(f3535,plain,
( ~ sQ84_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_4,e_3)
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f581,f125]) ).
fof(f3536,plain,
! [X0,X1,X2] :
( ~ sQ84_spl
| equalish(e_3,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f581,f125]) ).
fof(f3538,plain,
! [X0,X1,X2] :
( ~ sQ84_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f581,f125]) ).
fof(f3540,plain,
( ~ sQ38_spl
| ~ sQ84_spl
| sQ159_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f3512,f492,f904,f580,f423]) ).
fof(f3541,plain,
( ~ sQ38_spl
| ~ sQ84_spl
| sQ189_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f3513,f492,f1482,f580,f423]) ).
fof(f3542,definition,
! [X0] :
( sQ249_spl
<=> ( ~ product(e_3,e_5,X0)
| ~ product(e_4,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f3543,plain,
! [X0] :
( ~ sQ249_spl
| ~ product(e_3,e_5,X0)
| ~ product(e_4,e_4,X0) ),
inference(component_clause,[status(thm)],[f3542]) ).
fof(f3545,plain,
( ~ sQ84_spl
| sQ189_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f3515,f3542,f1482,f580]) ).
fof(f3546,plain,
( ~ sQ84_spl
| sQ190_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f3517,f423,f1486,f580]) ).
fof(f3547,plain,
( ~ sQ84_spl
| sQ190_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f3518,f3542,f1486,f580]) ).
fof(f3548,plain,
( ~ sQ84_spl
| sQ195_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f3519,f423,f1704,f580]) ).
fof(f3549,plain,
( ~ sQ84_spl
| sQ159_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f3522,f3542,f904,f580]) ).
fof(f3550,plain,
( ~ sQ84_spl
| sQ195_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f3524,f3542,f1704,f580]) ).
fof(f3551,plain,
( ~ sQ84_spl
| sQ125_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f3527,f2622,f749,f580]) ).
fof(f3552,plain,
( ~ sQ84_spl
| sQ187_spl
| ~ sQ57_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f3529,f426,f489,f1432,f580]) ).
fof(f3554,plain,
( ~ sQ84_spl
| sQ164_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f3533,f2622,f966,f580]) ).
fof(f3555,plain,
( ~ sQ84_spl
| sQ190_spl
| ~ sQ57_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f3535,f426,f489,f1486,f580]) ).
fof(f3597,plain,
( ~ sQ206_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f2076,f123]) ).
fof(f3598,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f666,f144]) ).
fof(f3599,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_5,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f666,f142]) ).
fof(f3600,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f666,f142]) ).
fof(f3601,plain,
( ~ sQ109_spl
| equalish(e_2,e_4)
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f666,f167]) ).
fof(f3602,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f666,f140]) ).
fof(f3603,plain,
( ~ sQ109_spl
| equalish(e_5,e_4)
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f666,f148]) ).
fof(f3604,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f666,f138]) ).
fof(f3605,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f666,f122]) ).
fof(f3606,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_4,e_5)
| ~ product(e_2,e_5,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f666,f136]) ).
fof(f3607,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f666,f136]) ).
fof(f3608,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f666,f134]) ).
fof(f3609,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f666,f120]) ).
fof(f3610,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f666,f118]) ).
fof(f3611,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,e_5)
| ~ product(e_2,e_5,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f666,f127]) ).
fof(f3612,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| equalish(X1,e_5)
| ~ product(e_4,X0,X1)
| ~ product(e_2,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f666,f127]) ).
fof(f3613,plain,
( ~ sQ109_spl
| equalish(e_5,e_2)
| ~ product(e_4,e_4,e_2)
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f666,f127]) ).
fof(f3614,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| equalish(e_5,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f666,f127]) ).
fof(f3616,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| equalish(X1,e_2)
| ~ product(X2,e_4,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f666,f127]) ).
fof(f3617,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_5,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f666,f125]) ).
fof(f3618,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,X1)
| ~ product(e_2,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f666,f125]) ).
fof(f3619,plain,
( ~ sQ109_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_4,e_2)
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f666,f125]) ).
fof(f3620,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| equalish(e_2,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f666,f125]) ).
fof(f3622,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f666,f125]) ).
fof(f3623,definition,
! [X0] :
( sQ250_spl
<=> ( ~ product(e_2,e_5,X0)
| ~ product(e_4,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f3624,plain,
! [X0] :
( ~ sQ250_spl
| ~ product(e_2,e_5,X0)
| ~ product(e_4,e_4,X0) ),
inference(component_clause,[status(thm)],[f3623]) ).
fof(f3626,plain,
( ~ sQ109_spl
| sQ179_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f3599,f3623,f1210,f665]) ).
fof(f3627,plain,
( ~ sQ109_spl
| sQ180_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f3601,f439,f1214,f665]) ).
fof(f3628,plain,
( ~ sQ109_spl
| sQ180_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f3602,f3623,f1214,f665]) ).
fof(f3629,plain,
( ~ sQ109_spl
| sQ195_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f3603,f439,f1704,f665]) ).
fof(f3630,plain,
( ~ sQ109_spl
| sQ159_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f3606,f3623,f904,f665]) ).
fof(f3631,plain,
( ~ sQ109_spl
| sQ195_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f3608,f3623,f1704,f665]) ).
fof(f3632,plain,
( ~ sQ109_spl
| sQ125_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f3611,f3092,f749,f665]) ).
fof(f3633,plain,
( ~ sQ109_spl
| sQ176_spl
| ~ sQ56_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3613,f442,f486,f1153,f665]) ).
fof(f3635,plain,
( ~ sQ109_spl
| sQ170_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f3617,f3092,f1032,f665]) ).
fof(f3636,plain,
( ~ sQ109_spl
| sQ180_spl
| ~ sQ56_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3619,f442,f486,f1214,f665]) ).
fof(f3638,plain,
( ~ sQ40_spl
| ~ sQ236_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f431,f3101]) ).
fof(f3639,plain,
( ~ sQ105_spl
| ~ sQ206_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f654,f3597]) ).
fof(f3640,plain,
( ~ sQ105_spl
| ~ sQ206_spl ),
inference(contradiction_clause,[status(thm)],[f3639]) ).
fof(f3641,plain,
( ~ sQ40_spl
| ~ sQ236_spl ),
inference(contradiction_clause,[status(thm)],[f3638]) ).
fof(f3642,plain,
( ~ sQ203_spl
| $false ),
inference(resolution,[status(thm)],[f1998,f123]) ).
fof(f3643,plain,
~ sQ203_spl,
inference(contradiction_clause,[status(thm)],[f3642]) ).
fof(f3644,plain,
( ~ sQ208_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f2125,f123]) ).
fof(f3685,plain,
( ~ sQ220_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f2614,f123]) ).
fof(f3728,plain,
( ~ sQ61_spl
| ~ sQ98_spl
| equalish(e_1,e_4)
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f626,f2516]) ).
fof(f3729,plain,
( ~ sQ61_spl
| ~ sQ98_spl
| equalish(e_1,e_3)
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f626,f2509]) ).
fof(f3756,plain,
( ~ sQ61_spl
| ~ sQ98_spl
| sQ156_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f3728,f844,f892,f625,f502]) ).
fof(f3757,plain,
( ~ sQ61_spl
| ~ sQ98_spl
| sQ162_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f3729,f844,f958,f625,f502]) ).
fof(f3771,plain,
( ~ sQ30_spl
| ~ sQ40_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1360,f399]) ).
fof(f3772,plain,
( ~ sQ30_spl
| ~ sQ40_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f3771,f1210,f430,f398]) ).
fof(f3773,plain,
( ~ sQ32_spl
| ~ sQ201_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f405,f1939]) ).
fof(f3774,plain,
( ~ sQ32_spl
| ~ sQ201_spl ),
inference(contradiction_clause,[status(thm)],[f3773]) ).
fof(f3775,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ61_spl
| equalish(X1,e_4)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f2525,f626]) ).
fof(f3776,plain,
( ~ sQ38_spl
| ~ sQ113_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f679,f1462]) ).
fof(f3777,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f679,f144]) ).
fof(f3778,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f679,f142]) ).
fof(f3779,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f679,f142]) ).
fof(f3780,plain,
( ~ sQ113_spl
| equalish(e_2,e_3)
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f679,f167]) ).
fof(f3781,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f679,f140]) ).
fof(f3782,plain,
( ~ sQ113_spl
| equalish(e_4,e_3)
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f679,f148]) ).
fof(f3783,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f679,f138]) ).
fof(f3784,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f679,f122]) ).
fof(f3785,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,e_4)
| ~ product(e_2,e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f679,f136]) ).
fof(f3786,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f679,f136]) ).
fof(f3787,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f679,f134]) ).
fof(f3788,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f679,f120]) ).
fof(f3789,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f679,f118]) ).
fof(f3790,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,e_4)
| ~ product(e_2,e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f679,f127]) ).
fof(f3791,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| equalish(X1,e_4)
| ~ product(e_3,X0,X1)
| ~ product(e_2,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f679,f127]) ).
fof(f3792,plain,
( ~ sQ113_spl
| equalish(e_4,e_2)
| ~ product(e_3,e_3,e_2)
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f679,f127]) ).
fof(f3793,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| equalish(e_4,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f679,f127]) ).
fof(f3795,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| equalish(X1,e_2)
| ~ product(X2,e_3,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f679,f127]) ).
fof(f3796,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f679,f125]) ).
fof(f3797,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,X1)
| ~ product(e_2,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f679,f125]) ).
fof(f3798,plain,
( ~ sQ113_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_3,e_2)
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f679,f125]) ).
fof(f3799,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| equalish(e_2,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f679,f125]) ).
fof(f3801,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f679,f125]) ).
fof(f3802,plain,
( ~ sQ38_spl
| ~ sQ113_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f3776,f1036,f678,f423]) ).
fof(f3803,definition,
! [X0] :
( sQ251_spl
<=> ( ~ product(e_2,e_4,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f3804,plain,
! [X0] :
( ~ sQ251_spl
| ~ product(e_2,e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f3803]) ).
fof(f3806,plain,
( ~ sQ113_spl
| sQ182_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f3778,f3803,f1268,f678]) ).
fof(f3807,plain,
( ~ sQ113_spl
| sQ183_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3780,f521,f1272,f678]) ).
fof(f3808,plain,
( ~ sQ113_spl
| sQ183_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f3781,f3803,f1272,f678]) ).
fof(f3809,plain,
( ~ sQ113_spl
| sQ189_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3782,f521,f1482,f678]) ).
fof(f3810,plain,
( ~ sQ113_spl
| sQ190_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f3785,f3803,f1486,f678]) ).
fof(f3811,plain,
( ~ sQ113_spl
| sQ189_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f3787,f3803,f1482,f678]) ).
fof(f3812,plain,
( ~ sQ113_spl
| sQ158_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f3790,f3141,f900,f678]) ).
fof(f3813,plain,
( ~ sQ113_spl
| sQ179_spl
| ~ sQ86_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f3792,f524,f587,f1210,f678]) ).
fof(f3815,plain,
( ~ sQ113_spl
| sQ170_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f3796,f3141,f1032,f678]) ).
fof(f3816,plain,
( ~ sQ113_spl
| sQ183_spl
| ~ sQ86_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f3798,f524,f587,f1272,f678]) ).
fof(f3818,plain,
( ~ sQ67_spl
| ~ sQ238_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f522,f3151]) ).
fof(f3819,plain,
( ~ sQ67_spl
| ~ sQ238_spl ),
inference(contradiction_clause,[status(thm)],[f3818]) ).
fof(f3820,plain,
( ~ sQ225_spl
| $false ),
inference(resolution,[status(thm)],[f2736,f123]) ).
fof(f3821,plain,
~ sQ225_spl,
inference(contradiction_clause,[status(thm)],[f3820]) ).
fof(f3822,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f682,f144]) ).
fof(f3823,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_5,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f682,f142]) ).
fof(f3824,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f682,f142]) ).
fof(f3825,plain,
( ~ sQ114_spl
| equalish(e_2,e_3)
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f682,f167]) ).
fof(f3826,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f682,f140]) ).
fof(f3827,plain,
( ~ sQ114_spl
| equalish(e_5,e_3)
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f682,f148]) ).
fof(f3828,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f682,f138]) ).
fof(f3829,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f682,f122]) ).
fof(f3830,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_3,e_5)
| ~ product(e_2,e_5,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f682,f136]) ).
fof(f3831,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f682,f136]) ).
fof(f3832,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f682,f134]) ).
fof(f3833,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f682,f120]) ).
fof(f3834,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f682,f118]) ).
fof(f3835,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_5,e_5)
| ~ product(e_2,e_5,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f682,f127]) ).
fof(f3836,plain,
! [X0,X1,X2] :
( ~ sQ114_spl
| equalish(X1,e_5)
| ~ product(e_3,X0,X1)
| ~ product(e_2,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f682,f127]) ).
fof(f3837,plain,
( ~ sQ114_spl
| equalish(e_5,e_2)
| ~ product(e_3,e_3,e_2)
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f682,f127]) ).
fof(f3838,plain,
! [X0,X1,X2] :
( ~ sQ114_spl
| equalish(e_5,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f682,f127]) ).
fof(f3840,plain,
! [X0,X1,X2] :
( ~ sQ114_spl
| equalish(X1,e_2)
| ~ product(X2,e_3,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f682,f127]) ).
fof(f3841,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_5,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f682,f125]) ).
fof(f3842,plain,
! [X0,X1,X2] :
( ~ sQ114_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,X1)
| ~ product(e_2,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f682,f125]) ).
fof(f3843,plain,
( ~ sQ114_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_3,e_2)
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f682,f125]) ).
fof(f3844,plain,
! [X0,X1,X2] :
( ~ sQ114_spl
| equalish(e_2,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f682,f125]) ).
fof(f3846,plain,
! [X0,X1,X2] :
( ~ sQ114_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f682,f125]) ).
fof(f3847,definition,
! [X0] :
( sQ252_spl
<=> ( ~ product(e_2,e_5,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f3848,plain,
! [X0] :
( ~ sQ252_spl
| ~ product(e_2,e_5,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f3847]) ).
fof(f3850,plain,
( ~ sQ114_spl
| sQ182_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f3823,f3847,f1268,f681]) ).
fof(f3851,plain,
( ~ sQ114_spl
| sQ183_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f3825,f436,f1272,f681]) ).
fof(f3852,plain,
( ~ sQ114_spl
| sQ183_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f3826,f3847,f1272,f681]) ).
fof(f3853,plain,
( ~ sQ114_spl
| sQ187_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f3827,f436,f1432,f681]) ).
fof(f3854,plain,
( ~ sQ114_spl
| sQ165_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f3830,f3847,f970,f681]) ).
fof(f3855,plain,
( ~ sQ114_spl
| sQ187_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f3832,f3847,f1432,f681]) ).
fof(f3856,plain,
( ~ sQ114_spl
| sQ125_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f3835,f3092,f749,f681]) ).
fof(f3857,plain,
( ~ sQ114_spl
| sQ176_spl
| ~ sQ86_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3837,f442,f587,f1153,f681]) ).
fof(f3859,plain,
( ~ sQ114_spl
| sQ170_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f3841,f3092,f1032,f681]) ).
fof(f3860,plain,
( ~ sQ114_spl
| sQ183_spl
| ~ sQ86_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3843,f442,f587,f1272,f681]) ).
fof(f3862,plain,
( ~ sQ10_spl
| ~ sQ142_spl
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f819,f305]) ).
fof(f3863,plain,
( ~ sQ38_spl
| ~ sQ142_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f819,f1462]) ).
fof(f3864,plain,
! [X0,X1] :
( ~ sQ72_spl
| ~ sQ142_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f819,f2024]) ).
fof(f3865,plain,
! [X0,X1] :
( ~ sQ72_spl
| ~ sQ142_spl
| equalish(X1,e_4)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f819,f2018]) ).
fof(f3866,plain,
( ~ sQ72_spl
| ~ sQ142_spl
| equalish(e_3,e_4)
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f819,f2009]) ).
fof(f3867,plain,
( ~ sQ72_spl
| ~ sQ142_spl
| equalish(e_3,e_1)
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f819,f2002]) ).
fof(f3868,plain,
! [X0] :
( ~ sQ142_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f819,f144]) ).
fof(f3869,plain,
! [X0] :
( ~ sQ142_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f819,f142]) ).
fof(f3870,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f819,f142]) ).
fof(f3871,plain,
( ~ sQ142_spl
| equalish(e_1,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f819,f167]) ).
fof(f3872,plain,
! [X0] :
( ~ sQ142_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f819,f140]) ).
fof(f3873,plain,
( ~ sQ142_spl
| equalish(e_4,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f819,f148]) ).
fof(f3874,plain,
! [X0] :
( ~ sQ142_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f819,f138]) ).
fof(f3875,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f819,f122]) ).
fof(f3876,plain,
! [X0] :
( ~ sQ142_spl
| equalish(e_3,e_4)
| ~ product(e_1,e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f819,f136]) ).
fof(f3877,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f819,f136]) ).
fof(f3878,plain,
! [X0] :
( ~ sQ142_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f819,f134]) ).
fof(f3879,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f819,f120]) ).
fof(f3880,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f819,f118]) ).
fof(f3881,plain,
! [X0] :
( ~ sQ142_spl
| equalish(e_4,e_4)
| ~ product(e_1,e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f819,f127]) ).
fof(f3882,plain,
! [X0,X1,X2] :
( ~ sQ142_spl
| equalish(X1,e_4)
| ~ product(e_3,X0,X1)
| ~ product(e_1,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f819,f127]) ).
fof(f3883,plain,
( ~ sQ142_spl
| equalish(e_4,e_1)
| ~ product(e_3,e_3,e_1)
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f819,f127]) ).
fof(f3884,plain,
! [X0,X1,X2] :
( ~ sQ142_spl
| equalish(e_4,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f819,f127]) ).
fof(f3886,plain,
! [X0,X1,X2] :
( ~ sQ142_spl
| equalish(X1,e_1)
| ~ product(X2,e_3,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f819,f127]) ).
fof(f3887,plain,
! [X0] :
( ~ sQ142_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f819,f125]) ).
fof(f3888,plain,
! [X0,X1,X2] :
( ~ sQ142_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,X1)
| ~ product(e_1,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f819,f125]) ).
fof(f3889,plain,
( ~ sQ142_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_3,e_1)
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f819,f125]) ).
fof(f3890,plain,
! [X0,X1,X2] :
( ~ sQ142_spl
| equalish(e_1,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f819,f125]) ).
fof(f3892,plain,
! [X0,X1,X2] :
( ~ sQ142_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f819,f125]) ).
fof(f3893,plain,
( ~ sQ10_spl
| ~ sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3862,f77]) ).
fof(f3894,plain,
( ~ sQ10_spl
| ~ sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f3893]) ).
fof(f3895,plain,
( ~ sQ226_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f2769,f123]) ).
fof(f3896,plain,
( ~ sQ226_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3895,f670]) ).
fof(f3897,plain,
( ~ sQ226_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f3896]) ).
fof(f3898,plain,
( ~ sQ72_spl
| ~ sQ67_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f2252,f538]) ).
fof(f3899,plain,
( ~ sQ72_spl
| ~ sQ67_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f3898,f1024,f521,f537]) ).
fof(f3900,plain,
( ~ sQ204_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f3508,f568,f2025]) ).
fof(f3901,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f2531,f626]) ).
fof(f3902,plain,
( ~ sQ228_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f2818,f123]) ).
fof(f3903,plain,
( ~ sQ61_spl
| ~ sQ98_spl
| equalish(e_3,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f2634,f503]) ).
fof(f3904,plain,
( ~ sQ61_spl
| ~ sQ98_spl
| sQ182_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f3903,f704,f1268,f625,f502]) ).
fof(f3905,plain,
( ~ sQ98_spl
| ~ sQ123_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f3118,f626]) ).
fof(f3906,plain,
( ~ sQ98_spl
| ~ sQ123_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f3905,f1268,f710,f625]) ).
fof(f3907,plain,
( ~ sQ64_spl
| ~ sQ223_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f512,f2678]) ).
fof(f3908,plain,
( ~ sQ93_spl
| ~ sQ240_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f610,f3197]) ).
fof(f3909,plain,
( ~ sQ64_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f3907]) ).
fof(f3910,plain,
( ~ sQ93_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f3908]) ).
fof(f3911,plain,
( ~ sQ15_spl
| ~ sQ146_spl
| ~ greater(e_3,e_2) ),
inference(resolution,[status(thm)],[f832,f298]) ).
fof(f3912,plain,
( ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_2,e_3)
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f832,f2643]) ).
fof(f3913,plain,
( ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_2,e_1)
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f832,f2636]) ).
fof(f3914,plain,
! [X0] :
( ~ sQ146_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f832,f144]) ).
fof(f3915,plain,
! [X0] :
( ~ sQ146_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f832,f142]) ).
fof(f3916,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f832,f142]) ).
fof(f3917,plain,
( ~ sQ146_spl
| equalish(e_1,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f832,f167]) ).
fof(f3918,plain,
! [X0] :
( ~ sQ146_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f832,f140]) ).
fof(f3919,plain,
( ~ sQ146_spl
| equalish(e_3,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f832,f148]) ).
fof(f3920,plain,
! [X0] :
( ~ sQ146_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f832,f138]) ).
fof(f3921,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f832,f122]) ).
fof(f3922,plain,
! [X0] :
( ~ sQ146_spl
| equalish(e_2,e_3)
| ~ product(e_1,e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f832,f136]) ).
fof(f3923,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f832,f136]) ).
fof(f3924,plain,
! [X0] :
( ~ sQ146_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f832,f134]) ).
fof(f3925,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f832,f120]) ).
fof(f3926,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f832,f118]) ).
fof(f3927,plain,
! [X0] :
( ~ sQ146_spl
| equalish(e_3,e_3)
| ~ product(e_1,e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f832,f127]) ).
fof(f3928,plain,
! [X0,X1,X2] :
( ~ sQ146_spl
| equalish(X1,e_3)
| ~ product(e_2,X0,X1)
| ~ product(e_1,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f832,f127]) ).
fof(f3929,plain,
( ~ sQ146_spl
| equalish(e_3,e_1)
| ~ product(e_2,e_2,e_1)
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f832,f127]) ).
fof(f3930,plain,
! [X0,X1,X2] :
( ~ sQ146_spl
| equalish(e_3,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f832,f127]) ).
fof(f3932,plain,
! [X0,X1,X2] :
( ~ sQ146_spl
| equalish(X1,e_1)
| ~ product(X2,e_2,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f832,f127]) ).
fof(f3933,plain,
! [X0] :
( ~ sQ146_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f832,f125]) ).
fof(f3934,plain,
! [X0,X1,X2] :
( ~ sQ146_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,X1)
| ~ product(e_1,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f832,f125]) ).
fof(f3935,plain,
( ~ sQ146_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_2,e_1)
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f832,f125]) ).
fof(f3936,plain,
! [X0,X1,X2] :
( ~ sQ146_spl
| equalish(e_1,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f832,f125]) ).
fof(f3938,plain,
! [X0,X1,X2] :
( ~ sQ146_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f832,f125]) ).
fof(f3939,plain,
( ~ sQ15_spl
| ~ sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3911,f74]) ).
fof(f3940,plain,
( ~ sQ15_spl
| ~ sQ146_spl ),
inference(contradiction_clause,[status(thm)],[f3939]) ).
fof(f3941,plain,
( ~ sQ15_spl
| ~ sQ147_spl
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f835,f298]) ).
fof(f3942,plain,
! [X0] :
( ~ sQ147_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f835,f144]) ).
fof(f3943,plain,
! [X0] :
( ~ sQ147_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f835,f142]) ).
fof(f3944,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f835,f142]) ).
fof(f3945,plain,
( ~ sQ147_spl
| equalish(e_1,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f835,f167]) ).
fof(f3946,plain,
! [X0] :
( ~ sQ147_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f835,f140]) ).
fof(f3947,plain,
( ~ sQ147_spl
| equalish(e_4,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f835,f148]) ).
fof(f3948,plain,
! [X0] :
( ~ sQ147_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f835,f138]) ).
fof(f3949,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f835,f122]) ).
fof(f3950,plain,
! [X0] :
( ~ sQ147_spl
| equalish(e_2,e_4)
| ~ product(e_1,e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f835,f136]) ).
fof(f3951,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f835,f136]) ).
fof(f3952,plain,
! [X0] :
( ~ sQ147_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f835,f134]) ).
fof(f3953,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f835,f120]) ).
fof(f3954,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f835,f118]) ).
fof(f3955,plain,
! [X0] :
( ~ sQ147_spl
| equalish(e_4,e_4)
| ~ product(e_1,e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f835,f127]) ).
fof(f3956,plain,
! [X0,X1,X2] :
( ~ sQ147_spl
| equalish(X1,e_4)
| ~ product(e_2,X0,X1)
| ~ product(e_1,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f835,f127]) ).
fof(f3957,plain,
( ~ sQ147_spl
| equalish(e_4,e_1)
| ~ product(e_2,e_2,e_1)
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f835,f127]) ).
fof(f3958,plain,
! [X0,X1,X2] :
( ~ sQ147_spl
| equalish(e_4,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f835,f127]) ).
fof(f3960,plain,
! [X0,X1,X2] :
( ~ sQ147_spl
| equalish(X1,e_1)
| ~ product(X2,e_2,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f835,f127]) ).
fof(f3961,plain,
! [X0] :
( ~ sQ147_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f835,f125]) ).
fof(f3962,plain,
! [X0,X1,X2] :
( ~ sQ147_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,X1)
| ~ product(e_1,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f835,f125]) ).
fof(f3963,plain,
( ~ sQ147_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_2,e_1)
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f835,f125]) ).
fof(f3964,plain,
! [X0,X1,X2] :
( ~ sQ147_spl
| equalish(e_1,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f835,f125]) ).
fof(f3966,plain,
! [X0,X1,X2] :
( ~ sQ147_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f835,f125]) ).
fof(f3967,plain,
( ~ sQ15_spl
| ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3941,f75]) ).
fof(f3968,plain,
( ~ sQ15_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f3967]) ).
fof(f3969,definition,
! [X0] :
( sQ253_spl
<=> ( ~ product(e_1,e_4,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f3970,plain,
! [X0] :
( ~ sQ253_spl
| ~ product(e_1,e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f3969]) ).
fof(f3972,plain,
( ~ sQ147_spl
| sQ167_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f3943,f3969,f1020,f834]) ).
fof(f3973,plain,
( ~ sQ147_spl
| sQ168_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f3945,f534,f1024,f834]) ).
fof(f3974,plain,
( ~ sQ147_spl
| sQ168_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f3946,f3969,f1024,f834]) ).
fof(f3975,plain,
( ~ sQ147_spl
| sQ179_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f3947,f534,f1210,f834]) ).
fof(f3976,plain,
( ~ sQ147_spl
| sQ180_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f3950,f3969,f1214,f834]) ).
fof(f3977,plain,
( ~ sQ147_spl
| sQ179_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f3952,f3969,f1210,f834]) ).
fof(f3978,definition,
! [X0] :
( sQ254_spl
<=> ( ~ product(e_1,e_4,X0)
| ~ product(e_1,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f3979,plain,
! [X0] :
( ~ sQ254_spl
| ~ product(e_1,e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(component_clause,[status(thm)],[f3978]) ).
fof(f3981,plain,
( ~ sQ147_spl
| sQ158_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f3955,f3978,f900,f834]) ).
fof(f3982,plain,
( ~ sQ147_spl
| sQ155_spl
| ~ sQ115_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f3957,f540,f685,f888,f834]) ).
fof(f3984,plain,
( ~ sQ147_spl
| sQ173_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f3961,f3978,f1093,f834]) ).
fof(f3985,plain,
( ~ sQ147_spl
| sQ168_spl
| ~ sQ115_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f3963,f540,f685,f1024,f834]) ).
fof(f3987,plain,
( ~ sQ98_spl
| ~ sQ146_spl
| sQ183_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f3912,f694,f1272,f831,f625]) ).
fof(f3988,plain,
( ~ sQ98_spl
| ~ sQ146_spl
| sQ167_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f3913,f694,f1020,f831,f625]) ).
fof(f3989,definition,
! [X0] :
( sQ255_spl
<=> ( ~ product(e_1,e_3,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f3990,plain,
! [X0] :
( ~ sQ255_spl
| ~ product(e_1,e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f3989]) ).
fof(f3992,plain,
( ~ sQ146_spl
| sQ167_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f3915,f3989,f1020,f831]) ).
fof(f3993,plain,
( ~ sQ146_spl
| sQ168_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f3917,f619,f1024,f831]) ).
fof(f3994,plain,
( ~ sQ146_spl
| sQ168_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f3918,f3989,f1024,f831]) ).
fof(f3995,plain,
( ~ sQ146_spl
| sQ182_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f3919,f619,f1268,f831]) ).
fof(f3996,plain,
( ~ sQ146_spl
| sQ183_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f3922,f3989,f1272,f831]) ).
fof(f3997,plain,
( ~ sQ146_spl
| sQ182_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f3924,f3989,f1268,f831]) ).
fof(f3998,definition,
! [X0] :
( sQ256_spl
<=> ( ~ product(e_1,e_3,X0)
| ~ product(e_1,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f3999,plain,
! [X0] :
( ~ sQ256_spl
| ~ product(e_1,e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(component_clause,[status(thm)],[f3998]) ).
fof(f4001,plain,
( ~ sQ146_spl
| sQ164_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f3927,f3998,f966,f831]) ).
fof(f4002,plain,
( ~ sQ146_spl
| sQ161_spl
| ~ sQ115_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f3929,f622,f685,f954,f831]) ).
fof(f4004,plain,
( ~ sQ146_spl
| sQ173_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f3933,f3998,f1093,f831]) ).
fof(f4005,plain,
( ~ sQ146_spl
| sQ168_spl
| ~ sQ115_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f3935,f622,f685,f1024,f831]) ).
fof(f4007,plain,
( ~ sQ98_spl
| ~ sQ256_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f626,f4008]) ).
fof(f4008,plain,
! [X0] :
( ~ sQ256_spl
| ~ product(e_1,e_3,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f3999]) ).
fof(f4009,plain,
( ~ sQ72_spl
| ~ sQ254_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f538,f4010]) ).
fof(f4010,plain,
! [X0] :
( ~ sQ254_spl
| ~ product(e_1,e_4,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f3979]) ).
fof(f4011,plain,
( sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f690,f123]) ).
fof(f4012,plain,
sQ116_spl,
inference(contradiction_clause,[status(thm)],[f4011]) ).
fof(f4013,plain,
( ~ sQ98_spl
| ~ sQ256_spl ),
inference(contradiction_clause,[status(thm)],[f4007]) ).
fof(f4014,plain,
( ~ sQ72_spl
| ~ sQ254_spl ),
inference(contradiction_clause,[status(thm)],[f4009]) ).
fof(f4015,plain,
( ~ sQ243_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f3284,f123]) ).
fof(f4017,plain,
! [X0,X1] :
( ~ sQ16_spl
| equalish(X0,X1)
| ~ next(e_2,X1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f241,f280]) ).
fof(f4020,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ148_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f838,f1013]) ).
fof(f4021,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ148_spl
| equalish(X1,e_5)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f838,f1007]) ).
fof(f4022,plain,
( ~ sQ46_spl
| ~ sQ148_spl
| equalish(e_2,e_1)
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f838,f991]) ).
fof(f4023,plain,
! [X0] :
( ~ sQ148_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f838,f144]) ).
fof(f4024,plain,
! [X0] :
( ~ sQ148_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_5,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f838,f142]) ).
fof(f4025,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f838,f142]) ).
fof(f4026,plain,
( ~ sQ148_spl
| equalish(e_1,e_2)
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f838,f167]) ).
fof(f4027,plain,
! [X0] :
( ~ sQ148_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f838,f140]) ).
fof(f4028,plain,
( ~ sQ148_spl
| equalish(e_5,e_2)
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f838,f148]) ).
fof(f4029,plain,
! [X0] :
( ~ sQ148_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f838,f138]) ).
fof(f4030,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f838,f122]) ).
fof(f4031,plain,
! [X0] :
( ~ sQ148_spl
| equalish(e_2,e_5)
| ~ product(e_1,e_5,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f838,f136]) ).
fof(f4032,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f838,f136]) ).
fof(f4033,plain,
! [X0] :
( ~ sQ148_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f838,f134]) ).
fof(f4034,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f838,f120]) ).
fof(f4035,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f838,f118]) ).
fof(f4036,plain,
! [X0] :
( ~ sQ148_spl
| equalish(e_5,e_5)
| ~ product(e_1,e_5,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f838,f127]) ).
fof(f4037,plain,
! [X0,X1,X2] :
( ~ sQ148_spl
| equalish(X1,e_5)
| ~ product(e_2,X0,X1)
| ~ product(e_1,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f838,f127]) ).
fof(f4039,plain,
! [X0,X1,X2] :
( ~ sQ148_spl
| equalish(e_5,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f838,f127]) ).
fof(f4041,plain,
! [X0,X1,X2] :
( ~ sQ148_spl
| equalish(X1,e_1)
| ~ product(X2,e_2,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f838,f127]) ).
fof(f4042,plain,
! [X0] :
( ~ sQ148_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_5,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f838,f125]) ).
fof(f4043,plain,
! [X0,X1,X2] :
( ~ sQ148_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,X1)
| ~ product(e_1,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f838,f125]) ).
fof(f4045,plain,
! [X0,X1,X2] :
( ~ sQ148_spl
| equalish(e_1,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f838,f125]) ).
fof(f4047,plain,
! [X0,X1,X2] :
( ~ sQ148_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f838,f125]) ).
fof(f4048,plain,
( ~ sQ46_spl
| ~ sQ148_spl
| sQ167_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f4022,f688,f1020,f837,f449]) ).
fof(f4049,definition,
! [X0] :
( sQ257_spl
<=> ( ~ product(e_1,e_5,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f4050,plain,
! [X0] :
( ~ sQ257_spl
| ~ product(e_1,e_5,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f4049]) ).
fof(f4052,plain,
( ~ sQ148_spl
| sQ167_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f4024,f4049,f1020,f837]) ).
fof(f4053,plain,
( ~ sQ148_spl
| sQ168_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f4026,f449,f1024,f837]) ).
fof(f4054,plain,
( ~ sQ148_spl
| sQ168_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f4027,f4049,f1024,f837]) ).
fof(f4055,plain,
( ~ sQ148_spl
| sQ176_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f4028,f449,f1153,f837]) ).
fof(f4056,plain,
( ~ sQ148_spl
| sQ171_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f4031,f4049,f1036,f837]) ).
fof(f4057,plain,
( ~ sQ148_spl
| sQ176_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f4033,f4049,f1153,f837]) ).
fof(f4058,plain,
( ~ sQ148_spl
| sQ125_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f4036,f3365,f749,f837]) ).
fof(f4061,plain,
( ~ sQ148_spl
| sQ173_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f4042,f3365,f1093,f837]) ).
fof(f4064,plain,
( ~ sQ243_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f4015,f825,f3283]) ).
fof(f4065,plain,
( ~ sQ234_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f3043,f123]) ).
fof(f4066,plain,
( ~ sQ233_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f3001,f123]) ).
fof(f4068,plain,
( ~ sQ214_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f2356,f123]) ).
fof(f4069,plain,
( ~ sQ46_spl
| ~ sQ102_spl
| equalish(e_5,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f644,f989]) ).
fof(f4070,plain,
( ~ sQ46_spl
| ~ sQ102_spl
| equalish(e_2,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f644,f995]) ).
fof(f4071,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ102_spl
| equalish(X1,e_2)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f644,f1003]) ).
fof(f4072,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ102_spl
| equalish(e_2,X1)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f644,f1005]) ).
fof(f4073,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f644,f1009]) ).
fof(f4074,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ102_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f644,f1011]) ).
fof(f4075,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f644,f144]) ).
fof(f4076,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_3,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f644,f142]) ).
fof(f4077,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f644,f142]) ).
fof(f4078,plain,
( ~ sQ102_spl
| equalish(e_2,e_5)
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f644,f167]) ).
fof(f4079,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f644,f140]) ).
fof(f4080,plain,
( ~ sQ102_spl
| equalish(e_3,e_5)
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f644,f148]) ).
fof(f4081,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f644,f138]) ).
fof(f4082,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f644,f122]) ).
fof(f4083,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_5,e_3)
| ~ product(e_2,e_3,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f644,f136]) ).
fof(f4084,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f644,f136]) ).
fof(f4085,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f644,f134]) ).
fof(f4086,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f644,f120]) ).
fof(f4087,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f644,f118]) ).
fof(f4088,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_3,e_3)
| ~ product(e_2,e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f644,f127]) ).
fof(f4089,plain,
! [X0,X1,X2] :
( ~ sQ102_spl
| equalish(X1,e_3)
| ~ product(e_5,X0,X1)
| ~ product(e_2,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f644,f127]) ).
fof(f4090,plain,
( ~ sQ102_spl
| equalish(e_3,e_2)
| ~ product(e_5,e_5,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f644,f127]) ).
fof(f4091,plain,
! [X0,X1,X2] :
( ~ sQ102_spl
| equalish(e_3,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f644,f127]) ).
fof(f4093,plain,
! [X0,X1,X2] :
( ~ sQ102_spl
| equalish(X1,e_2)
| ~ product(X2,e_5,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f644,f127]) ).
fof(f4094,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f644,f125]) ).
fof(f4095,plain,
! [X0,X1,X2] :
( ~ sQ102_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,X1)
| ~ product(e_2,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f644,f125]) ).
fof(f4096,plain,
( ~ sQ102_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_5,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f644,f125]) ).
fof(f4097,plain,
! [X0,X1,X2] :
( ~ sQ102_spl
| equalish(e_2,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f644,f125]) ).
fof(f4099,plain,
! [X0,X1,X2] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f644,f125]) ).
fof(f4100,plain,
( ~ sQ46_spl
| ~ sQ102_spl
| sQ187_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f4069,f622,f1432,f643,f449]) ).
fof(f4101,plain,
( ~ sQ46_spl
| ~ sQ102_spl
| sQ183_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f4070,f622,f1272,f643,f449]) ).
fof(f4102,definition,
! [X0] :
( sQ258_spl
<=> ( ~ product(e_2,e_3,X0)
| ~ product(e_5,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f4103,plain,
! [X0] :
( ~ sQ258_spl
| ~ product(e_2,e_3,X0)
| ~ product(e_5,e_5,X0) ),
inference(component_clause,[status(thm)],[f4102]) ).
fof(f4105,plain,
( ~ sQ102_spl
| sQ176_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f4076,f4102,f1153,f643]) ).
fof(f4106,plain,
( ~ sQ102_spl
| sQ171_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f4078,f612,f1036,f643]) ).
fof(f4107,plain,
( ~ sQ102_spl
| sQ171_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f4079,f4102,f1036,f643]) ).
fof(f4108,plain,
( ~ sQ102_spl
| sQ165_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f4080,f612,f970,f643]) ).
fof(f4109,plain,
( ~ sQ102_spl
| sQ187_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f4083,f4102,f1432,f643]) ).
fof(f4110,plain,
( ~ sQ102_spl
| sQ165_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f4085,f4102,f970,f643]) ).
fof(f4111,plain,
( ~ sQ102_spl
| sQ164_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f4088,f3187,f966,f643]) ).
fof(f4112,plain,
( ~ sQ102_spl
| sQ182_spl
| ~ sQ26_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f4090,f606,f385,f1268,f643]) ).
fof(f4114,plain,
( ~ sQ102_spl
| sQ170_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f4094,f3187,f1032,f643]) ).
fof(f4115,plain,
( ~ sQ102_spl
| sQ171_spl
| ~ sQ26_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f4096,f606,f385,f1036,f643]) ).
fof(f4117,plain,
( ~ sQ94_spl
| ~ sQ240_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f613,f3197]) ).
fof(f4118,plain,
( ~ sQ94_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f4117]) ).
fof(f4119,plain,
( ~ sQ213_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f2314,f123]) ).
fof(f4120,plain,
( ~ sQ212_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f2272,f123]) ).
fof(f4121,plain,
( ~ sQ212_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f4120,f571,f2271]) ).
fof(f4122,plain,
( ~ sQ154_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f883,f123]) ).
fof(f4163,plain,
( ~ sQ160_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f949,f123]) ).
fof(f4164,plain,
( ~ sQ184_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f1316,f123]) ).
fof(f4166,plain,
( ~ sQ38_spl
| ~ sQ51_spl
| equalish(e_5,e_2)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f471,f1451]) ).
fof(f4167,plain,
( ~ sQ38_spl
| ~ sQ51_spl
| equalish(e_4,e_2)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f471,f1457]) ).
fof(f4168,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ51_spl
| equalish(X1,e_4)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f471,f1465]) ).
fof(f4169,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ51_spl
| equalish(e_4,X1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f471,f1467]) ).
fof(f4170,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f471,f1471]) ).
fof(f4171,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ51_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f471,f1473]) ).
fof(f4172,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f471,f144]) ).
fof(f4173,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f471,f142]) ).
fof(f4174,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f471,f142]) ).
fof(f4175,plain,
( ~ sQ51_spl
| equalish(e_4,e_5)
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f471,f167]) ).
fof(f4176,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f471,f140]) ).
fof(f4177,plain,
( ~ sQ51_spl
| equalish(e_2,e_5)
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f471,f148]) ).
fof(f4178,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f471,f138]) ).
fof(f4179,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f471,f122]) ).
fof(f4180,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_5,e_2)
| ~ product(e_4,e_2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f471,f136]) ).
fof(f4181,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f471,f136]) ).
fof(f4182,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f471,f134]) ).
fof(f4183,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f471,f120]) ).
fof(f4184,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f471,f118]) ).
fof(f4185,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,e_2)
| ~ product(e_4,e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f471,f127]) ).
fof(f4186,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(X1,e_2)
| ~ product(e_5,X0,X1)
| ~ product(e_4,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f471,f127]) ).
fof(f4187,plain,
( ~ sQ51_spl
| equalish(e_2,e_4)
| ~ product(e_5,e_5,e_4)
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f471,f127]) ).
fof(f4188,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(e_2,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f471,f127]) ).
fof(f4190,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(X1,e_4)
| ~ product(X2,e_5,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f471,f127]) ).
fof(f4191,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f471,f125]) ).
fof(f4192,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,X1)
| ~ product(e_4,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f471,f125]) ).
fof(f4193,plain,
( ~ sQ51_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_5,e_4)
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f471,f125]) ).
fof(f4194,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(e_4,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f471,f125]) ).
fof(f4196,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f471,f125]) ).
fof(f4197,plain,
( ~ sQ38_spl
| ~ sQ51_spl
| sQ176_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f4166,f672,f1153,f470,f423]) ).
fof(f4198,plain,
( ~ sQ38_spl
| ~ sQ51_spl
| sQ179_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f4167,f672,f1210,f470,f423]) ).
fof(f4199,definition,
! [X0] :
( sQ259_spl
<=> ( ~ product(e_4,e_2,X0)
| ~ product(e_5,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f4200,plain,
! [X0] :
( ~ sQ259_spl
| ~ product(e_4,e_2,X0)
| ~ product(e_5,e_5,X0) ),
inference(component_clause,[status(thm)],[f4199]) ).
fof(f4202,plain,
( ~ sQ51_spl
| sQ195_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f4173,f4199,f1704,f470]) ).
fof(f4203,plain,
( ~ sQ51_spl
| sQ159_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f4175,f665,f904,f470]) ).
fof(f4204,plain,
( ~ sQ51_spl
| sQ159_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f4176,f4199,f904,f470]) ).
fof(f4205,plain,
( ~ sQ51_spl
| sQ171_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f4177,f665,f1036,f470]) ).
fof(f4206,plain,
( ~ sQ51_spl
| sQ176_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f4180,f4199,f1153,f470]) ).
fof(f4207,plain,
( ~ sQ51_spl
| sQ171_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f4182,f4199,f1036,f470]) ).
fof(f4208,plain,
( ~ sQ51_spl
| sQ170_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f4185,f2084,f1032,f470]) ).
fof(f4209,plain,
( ~ sQ51_spl
| sQ180_spl
| ~ sQ28_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f4187,f656,f391,f1214,f470]) ).
fof(f4211,plain,
( ~ sQ51_spl
| sQ158_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f4191,f2084,f900,f470]) ).
fof(f4212,plain,
( ~ sQ51_spl
| sQ159_spl
| ~ sQ28_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f4193,f656,f391,f904,f470]) ).
fof(f4214,plain,
( ~ sQ46_spl
| ~ sQ245_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f3356,f450]) ).
fof(f4216,plain,
( ~ sQ235_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f3084,f123]) ).
fof(f4217,plain,
( ~ sQ248_spl
| ~ sQ136_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f800,f3451]) ).
fof(f4218,plain,
( ~ sQ5_spl
| ~ sQ136_spl
| ~ greater(e_3,e_4) ),
inference(resolution,[status(thm)],[f800,f312]) ).
fof(f4219,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ136_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f800,f2658]) ).
fof(f4220,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ136_spl
| equalish(X1,e_3)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f800,f2652]) ).
fof(f4221,plain,
( ~ sQ98_spl
| ~ sQ136_spl
| equalish(e_4,e_3)
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f800,f2643]) ).
fof(f4222,plain,
( ~ sQ98_spl
| ~ sQ136_spl
| equalish(e_4,e_1)
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f800,f2636]) ).
fof(f4223,plain,
! [X0] :
( ~ sQ136_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f800,f144]) ).
fof(f4224,plain,
! [X0] :
( ~ sQ136_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f800,f142]) ).
fof(f4225,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f800,f142]) ).
fof(f4226,plain,
( ~ sQ136_spl
| equalish(e_1,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f800,f167]) ).
fof(f4227,plain,
! [X0] :
( ~ sQ136_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f800,f140]) ).
fof(f4228,plain,
( ~ sQ136_spl
| equalish(e_3,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f800,f148]) ).
fof(f4229,plain,
! [X0] :
( ~ sQ136_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f800,f138]) ).
fof(f4230,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f800,f122]) ).
fof(f4231,plain,
! [X0] :
( ~ sQ136_spl
| equalish(e_4,e_3)
| ~ product(e_1,e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f800,f136]) ).
fof(f4232,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f800,f136]) ).
fof(f4233,plain,
! [X0] :
( ~ sQ136_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f800,f134]) ).
fof(f4234,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f800,f120]) ).
fof(f4235,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f800,f118]) ).
fof(f4236,plain,
! [X0] :
( ~ sQ136_spl
| equalish(e_3,e_3)
| ~ product(e_1,e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f800,f127]) ).
fof(f4237,plain,
! [X0,X1,X2] :
( ~ sQ136_spl
| equalish(X1,e_3)
| ~ product(e_4,X0,X1)
| ~ product(e_1,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f800,f127]) ).
fof(f4238,plain,
( ~ sQ136_spl
| equalish(e_3,e_1)
| ~ product(e_4,e_4,e_1)
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f800,f127]) ).
fof(f4239,plain,
! [X0,X1,X2] :
( ~ sQ136_spl
| equalish(e_3,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f800,f127]) ).
fof(f4241,plain,
! [X0,X1,X2] :
( ~ sQ136_spl
| equalish(X1,e_1)
| ~ product(X2,e_4,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f800,f127]) ).
fof(f4242,plain,
! [X0] :
( ~ sQ136_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f800,f125]) ).
fof(f4243,plain,
! [X0,X1,X2] :
( ~ sQ136_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,X1)
| ~ product(e_1,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f800,f125]) ).
fof(f4244,plain,
( ~ sQ136_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_4,e_1)
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f800,f125]) ).
fof(f4245,plain,
! [X0,X1,X2] :
( ~ sQ136_spl
| equalish(e_1,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f800,f125]) ).
fof(f4247,plain,
! [X0,X1,X2] :
( ~ sQ136_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f800,f125]) ).
fof(f4248,plain,
( ~ sQ98_spl
| ~ sQ136_spl
| sQ189_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f4221,f492,f1482,f799,f625]) ).
fof(f4249,plain,
( ~ sQ98_spl
| ~ sQ136_spl
| sQ155_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f4222,f492,f888,f799,f625]) ).
fof(f4250,definition,
! [X0] :
( sQ260_spl
<=> ( ~ product(e_1,e_3,X0)
| ~ product(e_4,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f4251,plain,
! [X0] :
( ~ sQ260_spl
| ~ product(e_1,e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(component_clause,[status(thm)],[f4250]) ).
fof(f4253,plain,
( ~ sQ136_spl
| sQ155_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f4224,f4250,f888,f799]) ).
fof(f4254,plain,
( ~ sQ136_spl
| sQ156_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f4226,f625,f892,f799]) ).
fof(f4255,plain,
( ~ sQ136_spl
| sQ156_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f4227,f4250,f892,f799]) ).
fof(f4256,plain,
( ~ sQ136_spl
| sQ190_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f4228,f625,f1486,f799]) ).
fof(f4257,plain,
( ~ sQ136_spl
| sQ189_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f4231,f4250,f1482,f799]) ).
fof(f4258,plain,
( ~ sQ136_spl
| sQ190_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f4233,f4250,f1486,f799]) ).
fof(f4259,plain,
( ~ sQ136_spl
| sQ164_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f4236,f3998,f966,f799]) ).
fof(f4260,plain,
( ~ sQ136_spl
| sQ161_spl
| ~ sQ55_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f4238,f622,f483,f954,f799]) ).
fof(f4262,plain,
( ~ sQ136_spl
| sQ173_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f4242,f3998,f1093,f799]) ).
fof(f4263,plain,
( ~ sQ136_spl
| sQ156_spl
| ~ sQ55_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f4244,f622,f483,f892,f799]) ).
fof(f4265,plain,
( ~ sQ30_spl
| ~ sQ105_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f654,f1863]) ).
fof(f4266,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f654,f144]) ).
fof(f4267,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f654,f142]) ).
fof(f4268,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f654,f142]) ).
fof(f4269,plain,
( ~ sQ105_spl
| equalish(e_2,e_4)
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f654,f167]) ).
fof(f4270,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f654,f140]) ).
fof(f4271,plain,
( ~ sQ105_spl
| equalish(e_1,e_4)
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f654,f148]) ).
fof(f4272,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f654,f138]) ).
fof(f4273,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f654,f122]) ).
fof(f4274,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_4,e_1)
| ~ product(e_2,e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f654,f136]) ).
fof(f4275,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f654,f136]) ).
fof(f4276,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f654,f134]) ).
fof(f4277,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f654,f120]) ).
fof(f4278,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f654,f118]) ).
fof(f4279,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,e_1)
| ~ product(e_2,e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f654,f127]) ).
fof(f4280,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(X1,e_1)
| ~ product(e_4,X0,X1)
| ~ product(e_2,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f654,f127]) ).
fof(f4281,plain,
( ~ sQ105_spl
| equalish(e_1,e_2)
| ~ product(e_4,e_4,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f654,f127]) ).
fof(f4282,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(e_1,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f654,f127]) ).
fof(f4284,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(X1,e_2)
| ~ product(X2,e_4,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f654,f127]) ).
fof(f4285,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f654,f125]) ).
fof(f4286,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,X1)
| ~ product(e_2,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f654,f125]) ).
fof(f4287,plain,
( ~ sQ105_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_4,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f654,f125]) ).
fof(f4288,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(e_2,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f654,f125]) ).
fof(f4290,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f654,f125]) ).
fof(f4291,plain,
( ~ sQ30_spl
| ~ sQ105_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f4265,f1036,f653,f398]) ).
fof(f4292,definition,
! [X0] :
( sQ261_spl
<=> ( ~ product(e_2,e_1,X0)
| ~ product(e_4,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f4293,plain,
! [X0] :
( ~ sQ261_spl
| ~ product(e_2,e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(component_clause,[status(thm)],[f4292]) ).
fof(f4295,plain,
( ~ sQ105_spl
| sQ179_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f4267,f4292,f1210,f653]) ).
fof(f4296,plain,
( ~ sQ105_spl
| sQ180_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f4269,f834,f1214,f653]) ).
fof(f4297,plain,
( ~ sQ105_spl
| sQ180_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f4270,f4292,f1214,f653]) ).
fof(f4298,plain,
( ~ sQ105_spl
| sQ156_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f4271,f834,f892,f653]) ).
fof(f4299,plain,
( ~ sQ105_spl
| sQ155_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f4274,f4292,f888,f653]) ).
fof(f4300,plain,
( ~ sQ105_spl
| sQ156_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f4276,f4292,f892,f653]) ).
fof(f4301,plain,
( ~ sQ105_spl
| sQ173_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f4279,f3293,f1093,f653]) ).
fof(f4302,plain,
( ~ sQ105_spl
| sQ168_spl
| ~ sQ56_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f4281,f825,f486,f1024,f653]) ).
fof(f4304,plain,
( ~ sQ105_spl
| sQ170_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f4285,f3293,f1032,f653]) ).
fof(f4305,plain,
( ~ sQ105_spl
| sQ180_spl
| ~ sQ56_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f4287,f825,f486,f1214,f653]) ).
fof(f4307,plain,
( ~ sQ196_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f3467,f476,f1749]) ).
fof(f4309,plain,
( ~ sQ199_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f1879,f123]) ).
fof(f4310,plain,
( ~ sQ38_spl
| ~ sQ249_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f3543,f424]) ).
fof(f4311,plain,
( ~ sQ38_spl
| ~ sQ249_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f4310,f492,f3542,f423]) ).
fof(f4312,plain,
( ~ sQ194_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f1701,f123]) ).
fof(f4313,plain,
( ~ sQ211_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f2225,f123]) ).
fof(f4314,plain,
( ~ sQ210_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f2175,f123]) ).
fof(f4315,plain,
( ~ sQ237_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f3133,f123]) ).
fof(f4316,plain,
( ~ sQ237_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f4315,f515,f3132]) ).
fof(f4317,plain,
( ~ sQ215_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f2396,f123]) ).
fof(f4318,plain,
( ~ sQ216_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f2445,f123]) ).
fof(f4320,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f670,f144]) ).
fof(f4321,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f670,f142]) ).
fof(f4322,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f670,f142]) ).
fof(f4323,plain,
( ~ sQ110_spl
| equalish(e_2,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f670,f167]) ).
fof(f4324,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f670,f140]) ).
fof(f4325,plain,
( ~ sQ110_spl
| equalish(e_1,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f670,f148]) ).
fof(f4326,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f670,f138]) ).
fof(f4327,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f670,f122]) ).
fof(f4328,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_3,e_1)
| ~ product(e_2,e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f670,f136]) ).
fof(f4329,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f670,f136]) ).
fof(f4330,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f670,f134]) ).
fof(f4331,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f670,f120]) ).
fof(f4332,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f670,f118]) ).
fof(f4333,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,e_1)
| ~ product(e_2,e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f670,f127]) ).
fof(f4334,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(X1,e_1)
| ~ product(e_3,X0,X1)
| ~ product(e_2,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f670,f127]) ).
fof(f4335,plain,
( ~ sQ110_spl
| equalish(e_1,e_2)
| ~ product(e_3,e_3,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f670,f127]) ).
fof(f4336,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(e_1,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f670,f127]) ).
fof(f4338,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(X1,e_2)
| ~ product(X2,e_3,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f670,f127]) ).
fof(f4339,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f670,f125]) ).
fof(f4340,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,X1)
| ~ product(e_2,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f670,f125]) ).
fof(f4341,plain,
( ~ sQ110_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_3,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f670,f125]) ).
fof(f4342,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(e_2,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f670,f125]) ).
fof(f4344,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f670,f125]) ).
fof(f4345,definition,
! [X0] :
( sQ262_spl
<=> ( ~ product(e_2,e_1,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f4346,plain,
! [X0] :
( ~ sQ262_spl
| ~ product(e_2,e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f4345]) ).
fof(f4348,plain,
( ~ sQ110_spl
| sQ182_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f4321,f4345,f1268,f669]) ).
fof(f4349,plain,
( ~ sQ110_spl
| sQ183_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f4323,f831,f1272,f669]) ).
fof(f4350,plain,
( ~ sQ110_spl
| sQ183_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f4324,f4345,f1272,f669]) ).
fof(f4351,plain,
( ~ sQ110_spl
| sQ162_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f4325,f831,f958,f669]) ).
fof(f4352,plain,
( ~ sQ110_spl
| sQ161_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f4328,f4345,f954,f669]) ).
fof(f4353,plain,
( ~ sQ110_spl
| sQ162_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f4330,f4345,f958,f669]) ).
fof(f4354,plain,
( ~ sQ110_spl
| sQ173_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f4333,f3293,f1093,f669]) ).
fof(f4355,plain,
( ~ sQ110_spl
| sQ168_spl
| ~ sQ86_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f4335,f825,f587,f1024,f669]) ).
fof(f4357,plain,
( ~ sQ110_spl
| sQ170_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f4339,f3293,f1032,f669]) ).
fof(f4358,plain,
( ~ sQ110_spl
| sQ183_spl
| ~ sQ86_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f4341,f825,f587,f1272,f669]) ).
fof(f4360,plain,
( ~ sQ233_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f4066,f672,f3000]) ).
fof(f4361,plain,
( ~ sQ191_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f1542,f123]) ).
fof(f4362,plain,
( ~ sQ232_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f2957,f123]) ).
fof(f4363,plain,
( ~ sQ217_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f2492,f123]) ).
fof(f4364,plain,
( ~ sQ217_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f4363,f574,f2491]) ).
fof(f4365,plain,
( ~ sQ247_spl
| ~ sQ143_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f822,f3404]) ).
fof(f4366,plain,
( ~ sQ10_spl
| ~ sQ143_spl
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f822,f305]) ).
fof(f4367,plain,
( ~ sQ46_spl
| ~ sQ143_spl
| equalish(e_3,e_5)
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f822,f998]) ).
fof(f4368,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ143_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f822,f1013]) ).
fof(f4369,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ143_spl
| equalish(X1,e_5)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f822,f1007]) ).
fof(f4370,plain,
( ~ sQ46_spl
| ~ sQ143_spl
| equalish(e_3,e_1)
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f822,f991]) ).
fof(f4371,plain,
! [X0] :
( ~ sQ143_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f822,f144]) ).
fof(f4372,plain,
! [X0] :
( ~ sQ143_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_5,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f822,f142]) ).
fof(f4373,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f822,f142]) ).
fof(f4374,plain,
( ~ sQ143_spl
| equalish(e_1,e_3)
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f822,f167]) ).
fof(f4375,plain,
! [X0] :
( ~ sQ143_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f822,f140]) ).
fof(f4376,plain,
( ~ sQ143_spl
| equalish(e_5,e_3)
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f822,f148]) ).
fof(f4377,plain,
! [X0] :
( ~ sQ143_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f822,f138]) ).
fof(f4378,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f822,f122]) ).
fof(f4379,plain,
! [X0] :
( ~ sQ143_spl
| equalish(e_3,e_5)
| ~ product(e_1,e_5,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f822,f136]) ).
fof(f4380,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f822,f136]) ).
fof(f4381,plain,
! [X0] :
( ~ sQ143_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f822,f134]) ).
fof(f4382,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f822,f120]) ).
fof(f4383,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f822,f118]) ).
fof(f4384,plain,
! [X0] :
( ~ sQ143_spl
| equalish(e_5,e_5)
| ~ product(e_1,e_5,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f822,f127]) ).
fof(f4385,plain,
! [X0,X1,X2] :
( ~ sQ143_spl
| equalish(X1,e_5)
| ~ product(e_3,X0,X1)
| ~ product(e_1,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f822,f127]) ).
fof(f4387,plain,
! [X0,X1,X2] :
( ~ sQ143_spl
| equalish(e_5,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f822,f127]) ).
fof(f4389,plain,
! [X0,X1,X2] :
( ~ sQ143_spl
| equalish(X1,e_1)
| ~ product(X2,e_3,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f822,f127]) ).
fof(f4390,plain,
! [X0] :
( ~ sQ143_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_5,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f822,f125]) ).
fof(f4391,plain,
! [X0,X1,X2] :
( ~ sQ143_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,X1)
| ~ product(e_1,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f822,f125]) ).
fof(f4393,plain,
! [X0,X1,X2] :
( ~ sQ143_spl
| equalish(e_1,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f822,f125]) ).
fof(f4395,plain,
! [X0,X1,X2] :
( ~ sQ143_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f822,f125]) ).
fof(f4396,plain,
( ~ sQ247_spl
| ~ sQ143_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f4365,f394,f821,f3403]) ).
fof(f4397,plain,
( ~ sQ10_spl
| ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4366,f78]) ).
fof(f4398,plain,
( ~ sQ10_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f4397]) ).
fof(f4442,plain,
( ~ sQ250_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f437,f3624]) ).
fof(f4483,plain,
( ~ sQ218_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f2533,f123]) ).
fof(f4484,plain,
( ~ sQ219_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f2574,f123]) ).
fof(f4485,plain,
( ~ sQ224_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f2715,f123]) ).
fof(f4486,plain,
( ~ sQ188_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f1477,f123]) ).
fof(f4487,plain,
( ~ sQ251_spl
| ~ sQ65_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f516,f3804]) ).
fof(f4530,plain,
( ~ sQ72_spl
| ~ sQ122_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f708,f2011]) ).
fof(f4557,plain,
( ~ sQ72_spl
| ~ sQ122_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f4530,f1214,f707,f537]) ).
fof(f4570,plain,
( ~ sQ235_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f4216,f430,f3083]) ).
fof(f4571,plain,
( ~ sQ215_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f4317,f404,f2395]) ).
fof(f4572,plain,
( ~ sQ74_spl
| ~ sQ254_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f544,f4010]) ).
fof(f4573,plain,
( ~ sQ74_spl
| ~ sQ254_spl ),
inference(contradiction_clause,[status(thm)],[f4572]) ).
fof(f4575,plain,
! [X0,X1] :
( ~ sQ16_spl
| equalish(e_1,X1)
| ~ next(X0,X1)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f339,f62]) ).
fof(f4576,plain,
( ~ sQ222_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f2660,f123]) ).
fof(f4617,plain,
( ~ sQ231_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f2908,f123]) ).
fof(f4618,plain,
( ~ sQ231_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f4617,f502,f2907]) ).
fof(f4619,plain,
( ~ sQ144_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f826,f144]) ).
fof(f4620,plain,
! [X0,X1] :
( ~ sQ144_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f826,f144]) ).
fof(f4622,plain,
! [X0] :
( ~ sQ144_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f826,f144]) ).
fof(f4625,plain,
( ~ sQ144_spl
| equalish(e_1,e_2)
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f826,f167]) ).
fof(f4626,plain,
( ~ sQ144_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f826,f160]) ).
fof(f4627,plain,
! [X0] :
( ~ sQ144_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f826,f140]) ).
fof(f4630,plain,
! [X0,X1] :
( ~ sQ144_spl
| equalish(X1,e_1)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f826,f138]) ).
fof(f4633,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f826,f122]) ).
fof(f4634,plain,
! [X0] :
( ~ sQ144_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f826,f136]) ).
fof(f4635,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f826,f136]) ).
fof(f4637,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f826,f120]) ).
fof(f4638,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f826,f118]) ).
fof(f4639,plain,
! [X0] :
( ~ sQ144_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f826,f127]) ).
fof(f4640,plain,
! [X0,X1,X2] :
( ~ sQ144_spl
| equalish(X1,e_1)
| ~ product(e_2,X0,X1)
| ~ product(e_1,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f826,f127]) ).
fof(f4642,plain,
! [X0,X1,X2] :
( ~ sQ144_spl
| equalish(e_1,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f826,f127]) ).
fof(f4644,plain,
! [X0,X1,X2] :
( ~ sQ144_spl
| equalish(X1,e_1)
| ~ product(X2,e_2,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f826,f127]) ).
fof(f4646,plain,
! [X0,X1,X2] :
( ~ sQ144_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,X1)
| ~ product(e_1,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f826,f125]) ).
fof(f4647,plain,
( ~ sQ144_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_2,e_1)
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f826,f125]) ).
fof(f4648,plain,
! [X0,X1,X2] :
( ~ sQ144_spl
| equalish(e_1,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f826,f125]) ).
fof(f4650,plain,
! [X0,X1,X2] :
( ~ sQ144_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f826,f125]) ).
fof(f4651,plain,
( ~ sQ144_spl
| sQ173_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f4619,f841,f1093,f825]) ).
fof(f4654,plain,
( ~ sQ144_spl
| sQ168_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f4625,f844,f1024,f825]) ).
fof(f4655,plain,
( ~ sQ144_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f4626,f1020,f825]) ).
fof(f4656,plain,
( ~ sQ144_spl
| sQ168_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f4627,f3235,f1024,f825]) ).
fof(f4660,plain,
( ~ sQ144_spl
| sQ167_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f4634,f3235,f1020,f825]) ).
fof(f4662,definition,
! [X0] :
( sQ263_spl
<=> ( ~ product(e_1,e_1,X0)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f4663,plain,
! [X0] :
( ~ sQ263_spl
| ~ product(e_1,e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f4662]) ).
fof(f4665,plain,
( ~ sQ144_spl
| sQ173_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f4639,f4662,f1093,f825]) ).
fof(f4669,plain,
( ~ sQ144_spl
| sQ168_spl
| ~ sQ115_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f4647,f841,f685,f1024,f825]) ).
fof(f4671,plain,
! [X0] :
( ~ sQ263_spl
| ~ product(e_1,e_1,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f4663]) ).
fof(f4674,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ61_spl
| equalish(e_4,X1)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f503,f2650]) ).
fof(f4676,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f503,f2656]) ).
fof(f4720,plain,
( ~ sQ61_spl
| ~ sQ98_spl
| equalish(e_4,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f2640,f503]) ).
fof(f4721,plain,
( ~ sQ61_spl
| ~ sQ98_spl
| sQ179_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f4720,f704,f1210,f625,f502]) ).
fof(f4723,plain,
( ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_5,e_4)
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f647,f989]) ).
fof(f4724,plain,
( ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_2,e_4)
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f647,f995]) ).
fof(f4725,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ103_spl
| equalish(X1,e_2)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f647,f1003]) ).
fof(f4726,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_2,X1)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f647,f1005]) ).
fof(f4727,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ103_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f647,f1009]) ).
fof(f4728,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f647,f1011]) ).
fof(f4729,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f647,f144]) ).
fof(f4730,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_4,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f647,f142]) ).
fof(f4731,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f647,f142]) ).
fof(f4732,plain,
( ~ sQ103_spl
| equalish(e_2,e_5)
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f647,f167]) ).
fof(f4733,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f647,f140]) ).
fof(f4734,plain,
( ~ sQ103_spl
| equalish(e_4,e_5)
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f647,f148]) ).
fof(f4735,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f647,f138]) ).
fof(f4736,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f647,f122]) ).
fof(f4737,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_5,e_4)
| ~ product(e_2,e_4,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f647,f136]) ).
fof(f4738,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f647,f136]) ).
fof(f4739,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f647,f134]) ).
fof(f4740,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f647,f120]) ).
fof(f4741,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f647,f118]) ).
fof(f4742,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,e_4)
| ~ product(e_2,e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f647,f127]) ).
fof(f4743,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| equalish(X1,e_4)
| ~ product(e_5,X0,X1)
| ~ product(e_2,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f647,f127]) ).
fof(f4744,plain,
( ~ sQ103_spl
| equalish(e_4,e_2)
| ~ product(e_5,e_5,e_2)
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f647,f127]) ).
fof(f4745,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| equalish(e_4,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f647,f127]) ).
fof(f4747,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| equalish(X1,e_2)
| ~ product(X2,e_5,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f647,f127]) ).
fof(f4748,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f647,f125]) ).
fof(f4749,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,X1)
| ~ product(e_2,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f647,f125]) ).
fof(f4750,plain,
( ~ sQ103_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_5,e_2)
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f647,f125]) ).
fof(f4751,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| equalish(e_2,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f647,f125]) ).
fof(f4753,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f647,f125]) ).
fof(f4754,plain,
( ~ sQ46_spl
| ~ sQ103_spl
| sQ195_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f4723,f540,f1704,f646,f449]) ).
fof(f4755,plain,
( ~ sQ46_spl
| ~ sQ103_spl
| sQ180_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f4724,f540,f1214,f646,f449]) ).
fof(f4756,definition,
! [X0] :
( sQ264_spl
<=> ( ~ product(e_2,e_4,X0)
| ~ product(e_5,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f4757,plain,
! [X0] :
( ~ sQ264_spl
| ~ product(e_2,e_4,X0)
| ~ product(e_5,e_5,X0) ),
inference(component_clause,[status(thm)],[f4756]) ).
fof(f4759,plain,
( ~ sQ103_spl
| sQ176_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f4730,f4756,f1153,f646]) ).
fof(f4760,plain,
( ~ sQ103_spl
| sQ171_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f4732,f527,f1036,f646]) ).
fof(f4761,plain,
( ~ sQ103_spl
| sQ171_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f4733,f4756,f1036,f646]) ).
fof(f4762,plain,
( ~ sQ103_spl
| sQ159_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f4734,f527,f904,f646]) ).
fof(f4763,plain,
( ~ sQ103_spl
| sQ195_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f4737,f4756,f1704,f646]) ).
fof(f4764,plain,
( ~ sQ103_spl
| sQ159_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f4739,f4756,f904,f646]) ).
fof(f4765,plain,
( ~ sQ103_spl
| sQ158_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f4742,f3141,f900,f646]) ).
fof(f4766,plain,
( ~ sQ103_spl
| sQ179_spl
| ~ sQ26_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f4744,f524,f385,f1210,f646]) ).
fof(f4768,plain,
( ~ sQ103_spl
| sQ170_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f4748,f3141,f1032,f646]) ).
fof(f4769,plain,
( ~ sQ103_spl
| sQ171_spl
| ~ sQ26_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f4750,f524,f385,f1036,f646]) ).
fof(f4774,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ94_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f613,f1475]) ).
fof(f4775,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ94_spl
| equalish(X1,e_5)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f613,f1469]) ).
fof(f4776,plain,
( ~ sQ38_spl
| ~ sQ94_spl
| equalish(e_2,e_5)
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f613,f1460]) ).
fof(f4777,plain,
( ~ sQ38_spl
| ~ sQ94_spl
| equalish(e_2,e_3)
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f613,f1453]) ).
fof(f4803,plain,
( ~ sQ38_spl
| ~ sQ94_spl
| sQ171_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f4776,f694,f1036,f612,f423]) ).
fof(f4804,plain,
( ~ sQ38_spl
| ~ sQ94_spl
| sQ183_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f4777,f694,f1272,f612,f423]) ).
fof(f4817,plain,
( ~ sQ220_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3685,f414,f2613]) ).
fof(f4818,plain,
( ~ sQ35_spl
| ~ sQ221_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f415,f2632]) ).
fof(f4819,plain,
( ~ sQ188_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f4486,f473,f1476]) ).
fof(f4821,plain,
( ~ sQ35_spl
| ~ sQ221_spl ),
inference(contradiction_clause,[status(thm)],[f4818]) ).
fof(f4822,plain,
( ~ sQ46_spl
| ~ sQ257_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f4050,f450]) ).
fof(f4823,plain,
( ~ sQ46_spl
| ~ sQ257_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f4822,f688,f4049,f449]) ).
fof(f4826,plain,
( ~ sQ248_spl
| ~ sQ138_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f806,f3451]) ).
fof(f4827,plain,
( ~ sQ5_spl
| ~ sQ138_spl
| ~ greater(e_5,e_4) ),
inference(resolution,[status(thm)],[f806,f312]) ).
fof(f4828,plain,
( ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_4,e_5)
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f806,f998]) ).
fof(f4829,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ138_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f806,f1013]) ).
fof(f4830,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ138_spl
| equalish(X1,e_5)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f806,f1007]) ).
fof(f4831,plain,
( ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_4,e_1)
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f806,f991]) ).
fof(f4832,plain,
! [X0] :
( ~ sQ138_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f806,f144]) ).
fof(f4833,plain,
! [X0] :
( ~ sQ138_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_5,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f806,f142]) ).
fof(f4834,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f806,f142]) ).
fof(f4835,plain,
( ~ sQ138_spl
| equalish(e_1,e_4)
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f806,f167]) ).
fof(f4836,plain,
! [X0] :
( ~ sQ138_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f806,f140]) ).
fof(f4837,plain,
( ~ sQ138_spl
| equalish(e_5,e_4)
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f806,f148]) ).
fof(f4838,plain,
! [X0] :
( ~ sQ138_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f806,f138]) ).
fof(f4839,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f806,f122]) ).
fof(f4840,plain,
! [X0] :
( ~ sQ138_spl
| equalish(e_4,e_5)
| ~ product(e_1,e_5,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f806,f136]) ).
fof(f4841,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f806,f136]) ).
fof(f4842,plain,
! [X0] :
( ~ sQ138_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f806,f134]) ).
fof(f4843,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f806,f120]) ).
fof(f4844,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_5)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f806,f118]) ).
fof(f4845,plain,
! [X0] :
( ~ sQ138_spl
| equalish(e_5,e_5)
| ~ product(e_1,e_5,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f806,f127]) ).
fof(f4846,plain,
! [X0,X1,X2] :
( ~ sQ138_spl
| equalish(X1,e_5)
| ~ product(e_4,X0,X1)
| ~ product(e_1,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f806,f127]) ).
fof(f4848,plain,
! [X0,X1,X2] :
( ~ sQ138_spl
| equalish(e_5,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f806,f127]) ).
fof(f4850,plain,
! [X0,X1,X2] :
( ~ sQ138_spl
| equalish(X1,e_1)
| ~ product(X2,e_4,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f806,f127]) ).
fof(f4851,plain,
! [X0] :
( ~ sQ138_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_5,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f806,f125]) ).
fof(f4852,plain,
! [X0,X1,X2] :
( ~ sQ138_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,X1)
| ~ product(e_1,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f806,f125]) ).
fof(f4854,plain,
! [X0,X1,X2] :
( ~ sQ138_spl
| equalish(e_1,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f806,f125]) ).
fof(f4856,plain,
! [X0,X1,X2] :
( ~ sQ138_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f806,f125]) ).
fof(f4857,plain,
( ~ sQ248_spl
| ~ sQ138_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f4826,f394,f805,f3450]) ).
fof(f4858,plain,
( ~ sQ5_spl
| ~ sQ138_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4827,f79]) ).
fof(f4859,plain,
( ~ sQ5_spl
| ~ sQ138_spl ),
inference(contradiction_clause,[status(thm)],[f4858]) ).
fof(f4860,plain,
( ~ sQ208_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f3644,f793,f2124]) ).
fof(f4861,plain,
( sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f843,f123]) ).
fof(f4862,plain,
sQ149_spl,
inference(contradiction_clause,[status(thm)],[f4861]) ).
fof(f4864,plain,
! [X0,X1] :
( ~ sQ11_spl
| equalish(e_1,X1)
| ~ next(X0,X1)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f338,f63]) ).
fof(f4865,plain,
( ~ sQ192_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f1586,f123]) ).
fof(f4868,plain,
( ~ sQ247_spl
| ~ sQ141_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f816,f3404]) ).
fof(f4869,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ141_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f816,f2658]) ).
fof(f4870,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ141_spl
| equalish(X1,e_3)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f816,f2652]) ).
fof(f4871,plain,
( ~ sQ98_spl
| ~ sQ141_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f816,f2643]) ).
fof(f4872,plain,
( ~ sQ98_spl
| ~ sQ141_spl
| equalish(e_3,e_1)
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f816,f2636]) ).
fof(f4873,plain,
! [X0] :
( ~ sQ141_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f816,f144]) ).
fof(f4874,plain,
! [X0] :
( ~ sQ141_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f816,f142]) ).
fof(f4875,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f816,f142]) ).
fof(f4878,plain,
( ~ sQ141_spl
| equalish(e_3,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f816,f148]) ).
fof(f4880,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f816,f122]) ).
fof(f4881,plain,
( ~ sQ141_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f816,f146]) ).
fof(f4882,plain,
! [X0] :
( ~ sQ141_spl
| equalish(e_3,e_3)
| ~ product(e_1,e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f816,f136]) ).
fof(f4883,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f816,f136]) ).
fof(f4885,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f816,f120]) ).
fof(f4886,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f816,f118]) ).
fof(f4887,plain,
! [X0] :
( ~ sQ141_spl
| equalish(e_3,e_3)
| ~ product(e_1,e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f816,f127]) ).
fof(f4888,plain,
! [X0,X1,X2] :
( ~ sQ141_spl
| equalish(X1,e_3)
| ~ product(e_3,X0,X1)
| ~ product(e_1,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f816,f127]) ).
fof(f4890,plain,
! [X0,X1,X2] :
( ~ sQ141_spl
| equalish(e_3,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f816,f127]) ).
fof(f4892,plain,
! [X0,X1,X2] :
( ~ sQ141_spl
| equalish(X1,e_1)
| ~ product(X2,e_3,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f816,f127]) ).
fof(f4893,plain,
! [X0] :
( ~ sQ141_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f816,f125]) ).
fof(f4894,plain,
! [X0,X1,X2] :
( ~ sQ141_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,X1)
| ~ product(e_1,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f816,f125]) ).
fof(f4896,plain,
! [X0,X1,X2] :
( ~ sQ141_spl
| equalish(e_1,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f816,f125]) ).
fof(f4898,plain,
! [X0,X1,X2] :
( ~ sQ141_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f816,f125]) ).
fof(f4899,plain,
( ~ sQ98_spl
| ~ sQ141_spl
| sQ164_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f4871,f593,f966,f815,f625]) ).
fof(f4900,plain,
( ~ sQ98_spl
| ~ sQ141_spl
| sQ161_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f4872,f593,f954,f815,f625]) ).
fof(f4901,definition,
! [X0] :
( sQ265_spl
<=> ( ~ product(e_1,e_3,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f4902,plain,
! [X0] :
( ~ sQ265_spl
| ~ product(e_1,e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f4901]) ).
fof(f4904,plain,
( ~ sQ141_spl
| sQ161_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f4874,f4901,f954,f815]) ).
fof(f4907,plain,
( ~ sQ141_spl
| sQ164_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f4878,f622,f966,f815]) ).
fof(f4908,plain,
( ~ sQ141_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f4881,f958,f815]) ).
fof(f4909,plain,
( ~ sQ141_spl
| sQ164_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f4882,f4901,f966,f815]) ).
fof(f4911,plain,
( ~ sQ141_spl
| sQ164_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f4887,f3998,f966,f815]) ).
fof(f4914,plain,
( ~ sQ141_spl
| sQ173_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f4893,f3998,f1093,f815]) ).
fof(f4917,plain,
( ~ sQ213_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f4119,f656,f2313]) ).
fof(f4918,plain,
( ~ sQ234_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f4065,f812,f3042]) ).
fof(f4959,plain,
( ~ sQ94_spl
| ~ sQ258_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f4103,f613]) ).
fof(f4960,plain,
( ~ sQ94_spl
| ~ sQ258_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f4959,f394,f4102,f612]) ).
fof(f4962,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f569,f144]) ).
fof(f4963,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f569,f142]) ).
fof(f4964,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f569,f142]) ).
fof(f4965,plain,
( ~ sQ80_spl
| equalish(e_3,e_4)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f569,f167]) ).
fof(f4966,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f569,f140]) ).
fof(f4967,plain,
( ~ sQ80_spl
| equalish(e_1,e_4)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f569,f148]) ).
fof(f4968,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f569,f138]) ).
fof(f4969,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f569,f122]) ).
fof(f4970,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_4,e_1)
| ~ product(e_3,e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f569,f136]) ).
fof(f4971,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f569,f136]) ).
fof(f4972,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f569,f134]) ).
fof(f4973,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f569,f120]) ).
fof(f4974,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f569,f118]) ).
fof(f4975,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_1,e_1)
| ~ product(e_3,e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f569,f127]) ).
fof(f4976,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| equalish(X1,e_1)
| ~ product(e_4,X0,X1)
| ~ product(e_3,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f569,f127]) ).
fof(f4977,plain,
( ~ sQ80_spl
| equalish(e_1,e_3)
| ~ product(e_4,e_4,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f569,f127]) ).
fof(f4978,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| equalish(e_1,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f569,f127]) ).
fof(f4980,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| equalish(X1,e_3)
| ~ product(X2,e_4,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f569,f127]) ).
fof(f4981,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f569,f125]) ).
fof(f4982,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,X1)
| ~ product(e_3,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f569,f125]) ).
fof(f4983,plain,
( ~ sQ80_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_4,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f569,f125]) ).
fof(f4984,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| equalish(e_3,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f569,f125]) ).
fof(f4986,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f569,f125]) ).
fof(f4987,definition,
! [X0] :
( sQ266_spl
<=> ( ~ product(e_3,e_1,X0)
| ~ product(e_4,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f4988,plain,
! [X0] :
( ~ sQ266_spl
| ~ product(e_3,e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(component_clause,[status(thm)],[f4987]) ).
fof(f4990,plain,
( ~ sQ80_spl
| sQ189_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f4963,f4987,f1482,f568]) ).
fof(f4991,plain,
( ~ sQ80_spl
| sQ190_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f4965,f818,f1486,f568]) ).
fof(f4992,plain,
( ~ sQ80_spl
| sQ190_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f4966,f4987,f1486,f568]) ).
fof(f4993,plain,
( ~ sQ80_spl
| sQ156_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f4967,f818,f892,f568]) ).
fof(f4994,plain,
( ~ sQ80_spl
| sQ155_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f4970,f4987,f888,f568]) ).
fof(f4995,plain,
( ~ sQ80_spl
| sQ156_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f4972,f4987,f892,f568]) ).
fof(f4996,plain,
( ~ sQ80_spl
| sQ173_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f4975,f2827,f1093,f568]) ).
fof(f4997,plain,
( ~ sQ80_spl
| sQ162_spl
| ~ sQ57_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f4977,f809,f489,f958,f568]) ).
fof(f4999,plain,
( ~ sQ80_spl
| sQ164_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f4981,f2827,f966,f568]) ).
fof(f5000,plain,
( ~ sQ80_spl
| sQ190_spl
| ~ sQ57_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f4983,f809,f489,f1486,f568]) ).
fof(f5045,plain,
( ~ sQ122_spl
| ~ sQ94_spl
| equalish(e_1,e_2)
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f2844,f708]) ).
fof(f5046,plain,
( ~ sQ122_spl
| ~ sQ94_spl
| sQ168_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f5045,f853,f1024,f612,f707]) ).
fof(f5047,plain,
( ~ sQ122_spl
| ~ sQ94_spl
| equalish(e_1,e_3)
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f2851,f708]) ).
fof(f5048,plain,
( ~ sQ122_spl
| ~ sQ94_spl
| sQ162_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f5047,f853,f958,f612,f707]) ).
fof(f5049,plain,
( ~ sQ61_spl
| ~ sQ111_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f673,f2518]) ).
fof(f5050,plain,
( ~ sQ111_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f673,f144]) ).
fof(f5051,plain,
! [X0,X1] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f673,f144]) ).
fof(f5053,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f673,f144]) ).
fof(f5056,plain,
( ~ sQ111_spl
| equalish(e_2,e_3)
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f673,f167]) ).
fof(f5057,plain,
( ~ sQ111_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f673,f160]) ).
fof(f5058,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f673,f140]) ).
fof(f5061,plain,
! [X0,X1] :
( ~ sQ111_spl
| equalish(X1,e_2)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f673,f138]) ).
fof(f5064,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f673,f122]) ).
fof(f5065,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f673,f136]) ).
fof(f5066,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f673,f136]) ).
fof(f5068,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f673,f120]) ).
fof(f5069,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f673,f118]) ).
fof(f5070,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f673,f127]) ).
fof(f5071,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(X1,e_2)
| ~ product(e_3,X0,X1)
| ~ product(e_2,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f673,f127]) ).
fof(f5073,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(e_2,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f673,f127]) ).
fof(f5075,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(X1,e_2)
| ~ product(X2,e_3,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f673,f127]) ).
fof(f5077,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,X1)
| ~ product(e_2,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f673,f125]) ).
fof(f5078,plain,
( ~ sQ111_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_3,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f673,f125]) ).
fof(f5079,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(e_2,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f673,f125]) ).
fof(f5081,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f673,f125]) ).
fof(f5082,plain,
( ~ sQ61_spl
| ~ sQ111_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f5049,f1214,f672,f502]) ).
fof(f5083,plain,
( ~ sQ111_spl
| sQ170_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f5050,f688,f1032,f672]) ).
fof(f5086,plain,
( ~ sQ111_spl
| sQ183_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f5056,f691,f1272,f672]) ).
fof(f5087,plain,
( ~ sQ111_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f5057,f1268,f672]) ).
fof(f5088,plain,
( ~ sQ111_spl
| sQ183_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f5058,f2956,f1272,f672]) ).
fof(f5092,plain,
( ~ sQ111_spl
| sQ182_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f5065,f2956,f1268,f672]) ).
fof(f5094,plain,
( ~ sQ111_spl
| sQ170_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f5070,f3247,f1032,f672]) ).
fof(f5098,plain,
( ~ sQ111_spl
| sQ183_spl
| ~ sQ86_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f5078,f688,f587,f1272,f672]) ).
fof(f5100,plain,
( ~ sQ98_spl
| ~ sQ260_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f4251,f626]) ).
fof(f5101,plain,
( ~ sQ98_spl
| ~ sQ260_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f5100,f492,f4250,f625]) ).
fof(f5102,plain,
! [X0,X1] :
( ~ sQ122_spl
| ~ sQ94_spl
| equalish(X1,e_3)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f2860,f708]) ).
fof(f5103,plain,
( ~ sQ32_spl
| ~ sQ42_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1244,f405]) ).
fof(f5104,plain,
( ~ sQ32_spl
| ~ sQ42_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f5103,f1210,f436,f404]) ).
fof(f5105,plain,
( ~ sQ228_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f3902,f809,f2817]) ).
fof(f5106,plain,
( ~ sQ214_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f4068,f796,f2355]) ).
fof(f5107,plain,
! [X0,X1] :
( ~ sQ122_spl
| ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f2866,f708]) ).
fof(f5110,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ146_spl
| equalish(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f832,f4017]) ).
fof(f5111,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ146_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f832,f2658]) ).
fof(f5112,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ146_spl
| equalish(X1,e_3)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f832,f2652]) ).
fof(f5158,plain,
! [X0,X1] :
( ~ sQ94_spl
| ~ sQ122_spl
| equalish(e_3,X1)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f3169,f613]) ).
fof(f5159,plain,
( ~ sQ146_spl
| ~ sQ261_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f4293,f832]) ).
fof(f5162,plain,
! [X0,X1] :
( ~ sQ94_spl
| ~ sQ122_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f3175,f613]) ).
fof(f5163,plain,
( ~ sQ146_spl
| ~ sQ262_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f4346,f832]) ).
fof(f5164,plain,
( ~ sQ146_spl
| ~ sQ262_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f5163,f590,f4345,f831]) ).
fof(f5165,plain,
( ~ sQ32_spl
| ~ sQ82_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f575,f1776]) ).
fof(f5166,plain,
( ~ sQ82_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f575,f144]) ).
fof(f5167,plain,
! [X0,X1] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f575,f144]) ).
fof(f5169,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f575,f144]) ).
fof(f5172,plain,
( ~ sQ82_spl
| equalish(e_3,e_4)
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f575,f167]) ).
fof(f5173,plain,
( ~ sQ82_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f575,f160]) ).
fof(f5174,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f575,f140]) ).
fof(f5177,plain,
! [X0,X1] :
( ~ sQ82_spl
| equalish(X1,e_3)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f575,f138]) ).
fof(f5180,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f575,f122]) ).
fof(f5181,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f575,f136]) ).
fof(f5182,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f575,f136]) ).
fof(f5184,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f575,f120]) ).
fof(f5185,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f575,f118]) ).
fof(f5186,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f575,f127]) ).
fof(f5187,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| equalish(X1,e_3)
| ~ product(e_4,X0,X1)
| ~ product(e_3,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f575,f127]) ).
fof(f5189,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| equalish(e_3,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f575,f127]) ).
fof(f5191,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| equalish(X1,e_3)
| ~ product(X2,e_4,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f575,f127]) ).
fof(f5193,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,X1)
| ~ product(e_3,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f575,f125]) ).
fof(f5194,plain,
( ~ sQ82_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_4,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f575,f125]) ).
fof(f5195,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| equalish(e_3,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f575,f125]) ).
fof(f5197,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f575,f125]) ).
fof(f5198,plain,
( ~ sQ32_spl
| ~ sQ82_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f5165,f970,f574,f404]) ).
fof(f5199,plain,
( ~ sQ82_spl
| sQ164_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f5166,f590,f966,f574]) ).
fof(f5202,plain,
( ~ sQ82_spl
| sQ190_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f5172,f593,f1486,f574]) ).
fof(f5203,plain,
( ~ sQ82_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f5173,f1482,f574]) ).
fof(f5204,plain,
( ~ sQ82_spl
| sQ190_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f5174,f2444,f1486,f574]) ).
fof(f5208,plain,
( ~ sQ82_spl
| sQ189_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f5181,f2444,f1482,f574]) ).
fof(f5210,plain,
( ~ sQ82_spl
| sQ164_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f5186,f2726,f966,f574]) ).
fof(f5214,plain,
( ~ sQ82_spl
| sQ190_spl
| ~ sQ57_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f5194,f590,f489,f1486,f574]) ).
fof(f5217,plain,
( ~ sQ46_spl
| ~ sQ101_spl
| equalish(e_2,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f641,f995]) ).
fof(f5218,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ101_spl
| equalish(X1,e_2)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f641,f1003]) ).
fof(f5219,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ101_spl
| equalish(e_2,X1)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f641,f1005]) ).
fof(f5220,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ101_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f641,f1009]) ).
fof(f5221,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ101_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f641,f1011]) ).
fof(f5222,plain,
( ~ sQ101_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f641,f144]) ).
fof(f5223,plain,
! [X0,X1] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f641,f144]) ).
fof(f5225,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f641,f144]) ).
fof(f5228,plain,
( ~ sQ101_spl
| equalish(e_2,e_5)
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f641,f167]) ).
fof(f5229,plain,
( ~ sQ101_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f641,f160]) ).
fof(f5230,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f641,f140]) ).
fof(f5233,plain,
! [X0,X1] :
( ~ sQ101_spl
| equalish(X1,e_2)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f641,f138]) ).
fof(f5236,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f641,f122]) ).
fof(f5237,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f641,f136]) ).
fof(f5238,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f641,f136]) ).
fof(f5240,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f641,f120]) ).
fof(f5241,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f641,f118]) ).
fof(f5242,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f641,f127]) ).
fof(f5243,plain,
! [X0,X1,X2] :
( ~ sQ101_spl
| equalish(X1,e_2)
| ~ product(e_5,X0,X1)
| ~ product(e_2,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f641,f127]) ).
fof(f5245,plain,
! [X0,X1,X2] :
( ~ sQ101_spl
| equalish(e_2,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f641,f127]) ).
fof(f5247,plain,
! [X0,X1,X2] :
( ~ sQ101_spl
| equalish(X1,e_2)
| ~ product(X2,e_5,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f641,f127]) ).
fof(f5249,plain,
! [X0,X1,X2] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,X1)
| ~ product(e_2,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f641,f125]) ).
fof(f5250,plain,
( ~ sQ101_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_5,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f641,f125]) ).
fof(f5251,plain,
! [X0,X1,X2] :
( ~ sQ101_spl
| equalish(e_2,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f641,f125]) ).
fof(f5253,plain,
! [X0,X1,X2] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f641,f125]) ).
fof(f5255,plain,
( ~ sQ46_spl
| ~ sQ101_spl
| sQ170_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f5217,f704,f1032,f640,f449]) ).
fof(f5256,plain,
( ~ sQ101_spl
| sQ170_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f5222,f688,f1032,f640]) ).
fof(f5259,plain,
( ~ sQ101_spl
| sQ171_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f5228,f697,f1036,f640]) ).
fof(f5260,plain,
( ~ sQ101_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f5229,f1153,f640]) ).
fof(f5261,plain,
( ~ sQ101_spl
| sQ171_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f5230,f1149,f1036,f640]) ).
fof(f5265,plain,
( ~ sQ101_spl
| sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f5237,f1149,f1153,f640]) ).
fof(f5267,plain,
( ~ sQ101_spl
| sQ170_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f5242,f3247,f1032,f640]) ).
fof(f5271,plain,
( ~ sQ101_spl
| sQ171_spl
| ~ sQ26_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f5250,f688,f385,f1036,f640]) ).
fof(f5273,plain,
( ~ sQ197_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f1791,f123]) ).
fof(f5274,plain,
( ~ sQ74_spl
| ~ sQ32_spl
| equalish(e_1,e_4)
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f1767,f544]) ).
fof(f5275,plain,
( ~ sQ74_spl
| ~ sQ32_spl
| sQ156_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f5274,f847,f892,f404,f543]) ).
fof(f5316,plain,
( ~ sQ252_spl
| ~ sQ40_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f431,f3848]) ).
fof(f5317,plain,
( ~ sQ250_spl
| ~ sQ40_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f431,f3624]) ).
fof(f5355,plain,
( ~ sQ61_spl
| ~ sQ51_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f471,f2514]) ).
fof(f5381,plain,
( ~ sQ61_spl
| ~ sQ51_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f5355,f1432,f470,f502]) ).
fof(f5395,plain,
( ~ sQ74_spl
| ~ sQ32_spl
| equalish(e_1,e_5)
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f1774,f544]) ).
fof(f5396,plain,
( ~ sQ74_spl
| ~ sQ32_spl
| sQ127_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f5395,f847,f757,f404,f543]) ).
fof(f5436,plain,
( ~ sQ131_spl
| ~ greater(e_3,e_5) ),
inference(resolution,[status(thm)],[f784,f275]) ).
fof(f5437,plain,
( ~ sQ146_spl
| ~ sQ131_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f784,f3921]) ).
fof(f5438,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ131_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f784,f2658]) ).
fof(f5439,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ131_spl
| equalish(X1,e_3)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f784,f2652]) ).
fof(f5440,plain,
( ~ sQ98_spl
| ~ sQ131_spl
| equalish(e_5,e_1)
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f784,f2636]) ).
fof(f5441,plain,
! [X0] :
( ~ sQ131_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f784,f144]) ).
fof(f5442,plain,
! [X0] :
( ~ sQ131_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_3,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f784,f142]) ).
fof(f5443,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f784,f142]) ).
fof(f5444,plain,
( ~ sQ131_spl
| equalish(e_1,e_5)
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f784,f167]) ).
fof(f5445,plain,
! [X0] :
( ~ sQ131_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f784,f140]) ).
fof(f5446,plain,
( ~ sQ131_spl
| equalish(e_3,e_5)
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f784,f148]) ).
fof(f5447,plain,
! [X0] :
( ~ sQ131_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f784,f138]) ).
fof(f5448,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f784,f122]) ).
fof(f5449,plain,
! [X0] :
( ~ sQ131_spl
| equalish(e_5,e_3)
| ~ product(e_1,e_3,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f784,f136]) ).
fof(f5450,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f784,f136]) ).
fof(f5451,plain,
! [X0] :
( ~ sQ131_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f784,f134]) ).
fof(f5452,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f784,f120]) ).
fof(f5453,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_3)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f784,f118]) ).
fof(f5454,plain,
! [X0] :
( ~ sQ131_spl
| equalish(e_3,e_3)
| ~ product(e_1,e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f784,f127]) ).
fof(f5455,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| equalish(X1,e_3)
| ~ product(e_5,X0,X1)
| ~ product(e_1,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f784,f127]) ).
fof(f5456,plain,
( ~ sQ131_spl
| equalish(e_3,e_1)
| ~ product(e_5,e_5,e_1)
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f784,f127]) ).
fof(f5457,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| equalish(e_3,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f784,f127]) ).
fof(f5459,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| equalish(X1,e_1)
| ~ product(X2,e_5,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f784,f127]) ).
fof(f5460,plain,
! [X0] :
( ~ sQ131_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f784,f125]) ).
fof(f5461,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,X1)
| ~ product(e_1,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f784,f125]) ).
fof(f5462,plain,
( ~ sQ131_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_5,e_1)
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f784,f125]) ).
fof(f5463,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| equalish(e_1,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f784,f125]) ).
fof(f5465,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f784,f125]) ).
fof(f5466,plain,
( ~ sQ146_spl
| ~ sQ131_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f5437,f1153,f783,f831]) ).
fof(f5467,plain,
( ~ sQ98_spl
| ~ sQ131_spl
| sQ128_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f5440,f391,f761,f783,f625]) ).
fof(f5468,definition,
! [X0] :
( sQ267_spl
<=> ( ~ product(e_1,e_3,X0)
| ~ product(e_5,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f5469,plain,
! [X0] :
( ~ sQ267_spl
| ~ product(e_1,e_3,X0)
| ~ product(e_5,e_5,X0) ),
inference(component_clause,[status(thm)],[f5468]) ).
fof(f5471,plain,
( ~ sQ131_spl
| sQ128_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f5442,f5468,f761,f783]) ).
fof(f5472,plain,
( ~ sQ131_spl
| sQ127_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f5444,f628,f757,f783]) ).
fof(f5473,plain,
( ~ sQ131_spl
| sQ127_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f5445,f5468,f757,f783]) ).
fof(f5474,plain,
( ~ sQ131_spl
| sQ165_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f5446,f628,f970,f783]) ).
fof(f5475,plain,
( ~ sQ131_spl
| sQ187_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f5449,f5468,f1432,f783]) ).
fof(f5476,plain,
( ~ sQ131_spl
| sQ165_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f5451,f5468,f970,f783]) ).
fof(f5477,plain,
( ~ sQ131_spl
| sQ164_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f5454,f3998,f966,f783]) ).
fof(f5478,plain,
( ~ sQ131_spl
| sQ161_spl
| ~ sQ25_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f5456,f622,f382,f954,f783]) ).
fof(f5480,plain,
( ~ sQ131_spl
| sQ173_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f5460,f3998,f1093,f783]) ).
fof(f5481,plain,
( ~ sQ131_spl
| sQ127_spl
| ~ sQ25_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f5462,f622,f382,f757,f783]) ).
fof(f5483,plain,
! [X0,X1] :
( ~ sQ32_spl
| ~ sQ76_spl
| equalish(e_3,X1)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f556,f1781]) ).
fof(f5484,plain,
! [X0,X1] :
( ~ sQ32_spl
| ~ sQ76_spl
| equalish(X1,e_3)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f556,f1779]) ).
fof(f5485,plain,
( ~ sQ32_spl
| ~ sQ76_spl
| equalish(e_3,e_2)
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f556,f1771]) ).
fof(f5486,plain,
( ~ sQ32_spl
| ~ sQ76_spl
| equalish(e_5,e_2)
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f556,f1765]) ).
fof(f5487,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f556,f144]) ).
fof(f5488,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f556,f142]) ).
fof(f5489,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f556,f142]) ).
fof(f5490,plain,
( ~ sQ76_spl
| equalish(e_3,e_5)
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f556,f167]) ).
fof(f5491,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f556,f140]) ).
fof(f5492,plain,
( ~ sQ76_spl
| equalish(e_2,e_5)
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f556,f148]) ).
fof(f5493,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f556,f138]) ).
fof(f5494,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f556,f122]) ).
fof(f5495,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_5,e_2)
| ~ product(e_3,e_2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f556,f136]) ).
fof(f5496,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f556,f136]) ).
fof(f5497,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f556,f134]) ).
fof(f5498,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f556,f120]) ).
fof(f5499,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f556,f118]) ).
fof(f5500,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,e_2)
| ~ product(e_3,e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f556,f127]) ).
fof(f5501,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(X1,e_2)
| ~ product(e_5,X0,X1)
| ~ product(e_3,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f556,f127]) ).
fof(f5502,plain,
( ~ sQ76_spl
| equalish(e_2,e_3)
| ~ product(e_5,e_5,e_3)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f556,f127]) ).
fof(f5503,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(e_2,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f556,f127]) ).
fof(f5505,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(X1,e_3)
| ~ product(X2,e_5,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f556,f127]) ).
fof(f5506,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f556,f125]) ).
fof(f5507,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,X1)
| ~ product(e_3,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f556,f125]) ).
fof(f5508,plain,
( ~ sQ76_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_5,e_3)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f556,f125]) ).
fof(f5509,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(e_3,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f556,f125]) ).
fof(f5511,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f556,f125]) ).
fof(f5512,plain,
( ~ sQ32_spl
| ~ sQ76_spl
| sQ182_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f5485,f656,f1268,f555,f404]) ).
fof(f5513,plain,
( ~ sQ32_spl
| ~ sQ76_spl
| sQ176_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f5486,f656,f1153,f555,f404]) ).
fof(f5514,definition,
! [X0] :
( sQ268_spl
<=> ( ~ product(e_3,e_2,X0)
| ~ product(e_5,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f5515,plain,
! [X0] :
( ~ sQ268_spl
| ~ product(e_3,e_2,X0)
| ~ product(e_5,e_5,X0) ),
inference(component_clause,[status(thm)],[f5514]) ).
fof(f5517,plain,
( ~ sQ76_spl
| sQ187_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f5488,f5514,f1432,f555]) ).
fof(f5518,plain,
( ~ sQ76_spl
| sQ165_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f5490,f681,f970,f555]) ).
fof(f5519,plain,
( ~ sQ76_spl
| sQ165_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f5491,f5514,f970,f555]) ).
fof(f5520,plain,
( ~ sQ76_spl
| sQ171_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f5492,f681,f1036,f555]) ).
fof(f5521,plain,
( ~ sQ76_spl
| sQ176_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f5495,f5514,f1153,f555]) ).
fof(f5522,plain,
( ~ sQ76_spl
| sQ171_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f5497,f5514,f1036,f555]) ).
fof(f5523,plain,
( ~ sQ76_spl
| sQ170_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f5500,f2777,f1032,f555]) ).
fof(f5524,plain,
( ~ sQ76_spl
| sQ183_spl
| ~ sQ27_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f5502,f672,f388,f1272,f555]) ).
fof(f5526,plain,
( ~ sQ76_spl
| sQ164_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f5506,f2777,f966,f555]) ).
fof(f5527,plain,
( ~ sQ76_spl
| sQ165_spl
| ~ sQ27_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f5508,f672,f388,f970,f555]) ).
fof(f5529,plain,
( ~ sQ243_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f3284,f123]) ).
fof(f5530,plain,
! [X0,X1] :
( ~ sQ74_spl
| ~ sQ32_spl
| equalish(X1,e_5)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f1783,f544]) ).
fof(f5532,plain,
! [X0,X1] :
( ~ sQ76_spl
| ~ sQ32_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f1785,f556]) ).
fof(f5533,plain,
! [X0,X1] :
( ~ sQ76_spl
| ~ sQ32_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f1787,f556]) ).
fof(f5534,plain,
( ~ sQ248_spl
| ~ sQ134_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f794,f3451]) ).
fof(f5535,plain,
( ~ sQ5_spl
| ~ sQ134_spl
| ~ greater(e_1,e_4) ),
inference(resolution,[status(thm)],[f794,f312]) ).
fof(f5536,plain,
( ~ sQ134_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f794,f144]) ).
fof(f5537,plain,
! [X0,X1] :
( ~ sQ134_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f794,f144]) ).
fof(f5539,plain,
! [X0] :
( ~ sQ134_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f794,f144]) ).
fof(f5542,plain,
( ~ sQ134_spl
| equalish(e_1,e_4)
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f794,f167]) ).
fof(f5543,plain,
( ~ sQ134_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f794,f160]) ).
fof(f5544,plain,
! [X0] :
( ~ sQ134_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f794,f140]) ).
fof(f5547,plain,
! [X0,X1] :
( ~ sQ134_spl
| equalish(X1,e_1)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f794,f138]) ).
fof(f5550,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f794,f122]) ).
fof(f5551,plain,
! [X0] :
( ~ sQ134_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f794,f136]) ).
fof(f5552,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f794,f136]) ).
fof(f5554,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f794,f120]) ).
fof(f5555,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f794,f118]) ).
fof(f5556,plain,
! [X0] :
( ~ sQ134_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f794,f127]) ).
fof(f5557,plain,
! [X0,X1,X2] :
( ~ sQ134_spl
| equalish(X1,e_1)
| ~ product(e_4,X0,X1)
| ~ product(e_1,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f794,f127]) ).
fof(f5559,plain,
! [X0,X1,X2] :
( ~ sQ134_spl
| equalish(e_1,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f794,f127]) ).
fof(f5561,plain,
! [X0,X1,X2] :
( ~ sQ134_spl
| equalish(X1,e_1)
| ~ product(X2,e_4,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f794,f127]) ).
fof(f5563,plain,
! [X0,X1,X2] :
( ~ sQ134_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,X1)
| ~ product(e_1,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f794,f125]) ).
fof(f5564,plain,
( ~ sQ134_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_4,e_1)
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f794,f125]) ).
fof(f5565,plain,
! [X0,X1,X2] :
( ~ sQ134_spl
| equalish(e_1,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f794,f125]) ).
fof(f5567,plain,
! [X0,X1,X2] :
( ~ sQ134_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f794,f125]) ).
fof(f5568,plain,
( ~ sQ134_spl
| sQ173_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f5536,f841,f1093,f793]) ).
fof(f5571,plain,
( ~ sQ134_spl
| sQ156_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f5542,f850,f892,f793]) ).
fof(f5572,plain,
( ~ sQ134_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f5543,f888,f793]) ).
fof(f5573,plain,
( ~ sQ134_spl
| sQ156_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f5544,f1975,f892,f793]) ).
fof(f5577,plain,
( ~ sQ134_spl
| sQ155_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f5551,f1975,f888,f793]) ).
fof(f5579,plain,
( ~ sQ134_spl
| sQ173_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f5556,f4662,f1093,f793]) ).
fof(f5583,plain,
( ~ sQ134_spl
| sQ156_spl
| ~ sQ55_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f5564,f841,f483,f892,f793]) ).
fof(f5585,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ140_spl
| equalish(e_2,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f813,f368]) ).
fof(f5586,plain,
( ~ sQ247_spl
| ~ sQ140_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f813,f3404]) ).
fof(f5587,plain,
( ~ sQ61_spl
| ~ sQ140_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f813,f2518]) ).
fof(f5588,plain,
! [X0,X1] :
( ~ sQ122_spl
| ~ sQ140_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f813,f3177]) ).
fof(f5589,plain,
! [X0,X1] :
( ~ sQ122_spl
| ~ sQ140_spl
| equalish(X1,e_2)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f813,f3171]) ).
fof(f5590,plain,
( ~ sQ122_spl
| ~ sQ140_spl
| equalish(e_3,e_2)
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f813,f3162]) ).
fof(f5591,plain,
( ~ sQ122_spl
| ~ sQ140_spl
| equalish(e_3,e_1)
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f813,f3155]) ).
fof(f5592,plain,
! [X0] :
( ~ sQ140_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f813,f144]) ).
fof(f5593,plain,
! [X0] :
( ~ sQ140_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f813,f142]) ).
fof(f5594,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f813,f142]) ).
fof(f5595,plain,
( ~ sQ140_spl
| equalish(e_1,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f813,f167]) ).
fof(f5596,plain,
! [X0] :
( ~ sQ140_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f813,f140]) ).
fof(f5597,plain,
( ~ sQ140_spl
| equalish(e_2,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f813,f148]) ).
fof(f5598,plain,
! [X0] :
( ~ sQ140_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f813,f138]) ).
fof(f5599,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f813,f122]) ).
fof(f5600,plain,
! [X0] :
( ~ sQ140_spl
| equalish(e_3,e_2)
| ~ product(e_1,e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f813,f136]) ).
fof(f5601,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f813,f136]) ).
fof(f5602,plain,
! [X0] :
( ~ sQ140_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f813,f134]) ).
fof(f5603,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f813,f120]) ).
fof(f5604,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f813,f118]) ).
fof(f5605,plain,
! [X0] :
( ~ sQ140_spl
| equalish(e_2,e_2)
| ~ product(e_1,e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f813,f127]) ).
fof(f5606,plain,
! [X0,X1,X2] :
( ~ sQ140_spl
| equalish(X1,e_2)
| ~ product(e_3,X0,X1)
| ~ product(e_1,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f813,f127]) ).
fof(f5607,plain,
( ~ sQ140_spl
| equalish(e_2,e_1)
| ~ product(e_3,e_3,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f813,f127]) ).
fof(f5608,plain,
! [X0,X1,X2] :
( ~ sQ140_spl
| equalish(e_2,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f813,f127]) ).
fof(f5610,plain,
! [X0,X1,X2] :
( ~ sQ140_spl
| equalish(X1,e_1)
| ~ product(X2,e_3,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f813,f127]) ).
fof(f5611,plain,
! [X0] :
( ~ sQ140_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f813,f125]) ).
fof(f5612,plain,
! [X0,X1,X2] :
( ~ sQ140_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,X1)
| ~ product(e_1,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f813,f125]) ).
fof(f5613,plain,
( ~ sQ140_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_3,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f813,f125]) ).
fof(f5614,plain,
! [X0,X1,X2] :
( ~ sQ140_spl
| equalish(e_1,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f813,f125]) ).
fof(f5616,plain,
! [X0,X1,X2] :
( ~ sQ140_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f813,f125]) ).
fof(f5617,plain,
( ~ sQ61_spl
| ~ sQ140_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f5587,f892,f812,f502]) ).
fof(f5618,plain,
( ~ sQ122_spl
| ~ sQ140_spl
| sQ182_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f5590,f590,f1268,f812,f707]) ).
fof(f5619,plain,
( ~ sQ122_spl
| ~ sQ140_spl
| sQ161_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f5591,f590,f954,f812,f707]) ).
fof(f5620,definition,
! [X0] :
( sQ269_spl
<=> ( ~ product(e_1,e_2,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f5621,plain,
! [X0] :
( ~ sQ269_spl
| ~ product(e_1,e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f5620]) ).
fof(f5623,plain,
( ~ sQ140_spl
| sQ161_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f5593,f5620,f954,f812]) ).
fof(f5624,plain,
( ~ sQ140_spl
| sQ162_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f5595,f707,f958,f812]) ).
fof(f5625,plain,
( ~ sQ140_spl
| sQ162_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f5596,f5620,f958,f812]) ).
fof(f5626,plain,
( ~ sQ140_spl
| sQ183_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f5597,f707,f1272,f812]) ).
fof(f5627,plain,
( ~ sQ140_spl
| sQ182_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f5600,f5620,f1268,f812]) ).
fof(f5628,plain,
( ~ sQ140_spl
| sQ183_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f5602,f5620,f1272,f812]) ).
fof(f5629,definition,
! [X0] :
( sQ270_spl
<=> ( ~ product(e_1,e_2,X0)
| ~ product(e_1,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f5630,plain,
! [X0] :
( ~ sQ270_spl
| ~ product(e_1,e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(component_clause,[status(thm)],[f5629]) ).
fof(f5632,plain,
( ~ sQ140_spl
| sQ170_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f5605,f5629,f1032,f812]) ).
fof(f5633,plain,
( ~ sQ140_spl
| sQ167_spl
| ~ sQ85_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f5607,f704,f584,f1020,f812]) ).
fof(f5635,plain,
( ~ sQ140_spl
| sQ173_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f5611,f5629,f1093,f812]) ).
fof(f5636,plain,
( ~ sQ140_spl
| sQ162_spl
| ~ sQ85_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f5613,f704,f584,f958,f812]) ).
fof(f5638,plain,
( ~ sQ122_spl
| ~ sQ270_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f708,f5639]) ).
fof(f5639,plain,
! [X0] :
( ~ sQ270_spl
| ~ product(e_1,e_2,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f5630]) ).
fof(f5640,plain,
( ~ sQ139_spl
| ~ sQ229_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f810,f2840]) ).
fof(f5641,plain,
( ~ sQ122_spl
| ~ sQ270_spl ),
inference(contradiction_clause,[status(thm)],[f5638]) ).
fof(f5642,plain,
( ~ sQ139_spl
| ~ sQ229_spl ),
inference(contradiction_clause,[status(thm)],[f5640]) ).
fof(f5643,plain,
( ~ sQ263_spl
| $false ),
inference(resolution,[status(thm)],[f4671,f123]) ).
fof(f5644,plain,
~ sQ263_spl,
inference(contradiction_clause,[status(thm)],[f5643]) ).
fof(f5645,plain,
! [X0,X1] :
( ~ sQ74_spl
| ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f1789,f544]) ).
fof(f5646,plain,
( ~ sQ32_spl
| ~ sQ74_spl
| equalish(e_4,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f1895,f405]) ).
fof(f5647,plain,
( ~ sQ32_spl
| ~ sQ74_spl
| sQ189_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f5646,f622,f1482,f543,f404]) ).
fof(f5696,plain,
( ~ sQ251_spl
| ~ sQ67_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f522,f3804]) ).
fof(f5722,plain,
( ~ sQ251_spl
| ~ sQ67_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f5696,f590,f521,f3803]) ).
fof(f5772,plain,
( ~ sQ67_spl
| ~ sQ264_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f4757,f522]) ).
fof(f5773,plain,
( ~ sQ32_spl
| ~ sQ74_spl
| equalish(e_5,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f1901,f405]) ).
fof(f5774,plain,
( ~ sQ32_spl
| ~ sQ74_spl
| sQ187_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f5773,f622,f1432,f543,f404]) ).
fof(f5778,plain,
( ~ sQ103_spl
| ~ sQ53_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f477,f4740]) ).
fof(f5779,plain,
( ~ sQ53_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f477,f144]) ).
fof(f5780,plain,
! [X0,X1] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f477,f144]) ).
fof(f5782,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f477,f144]) ).
fof(f5785,plain,
( ~ sQ53_spl
| equalish(e_4,e_5)
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f477,f167]) ).
fof(f5786,plain,
( ~ sQ53_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f477,f160]) ).
fof(f5787,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f477,f140]) ).
fof(f5790,plain,
! [X0,X1] :
( ~ sQ53_spl
| equalish(X1,e_4)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f477,f138]) ).
fof(f5793,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f477,f122]) ).
fof(f5794,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f477,f136]) ).
fof(f5795,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f477,f136]) ).
fof(f5797,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f477,f120]) ).
fof(f5798,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f477,f118]) ).
fof(f5799,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f477,f127]) ).
fof(f5800,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| equalish(X1,e_4)
| ~ product(e_5,X0,X1)
| ~ product(e_4,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f477,f127]) ).
fof(f5802,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| equalish(e_4,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f477,f127]) ).
fof(f5804,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| equalish(X1,e_4)
| ~ product(X2,e_5,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f477,f127]) ).
fof(f5806,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,X1)
| ~ product(e_4,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f477,f125]) ).
fof(f5807,plain,
( ~ sQ53_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_5,e_4)
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f477,f125]) ).
fof(f5808,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| equalish(e_4,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f477,f125]) ).
fof(f5810,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f477,f125]) ).
fof(f5811,plain,
( ~ sQ103_spl
| ~ sQ53_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f5778,f1210,f476,f646]) ).
fof(f5812,plain,
( ~ sQ53_spl
| sQ158_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f5779,f492,f900,f476]) ).
fof(f5815,plain,
( ~ sQ53_spl
| sQ159_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5785,f495,f904,f476]) ).
fof(f5816,plain,
( ~ sQ53_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f5786,f1704,f476]) ).
fof(f5817,plain,
( ~ sQ53_spl
| sQ159_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f5787,f1700,f904,f476]) ).
fof(f5821,plain,
( ~ sQ53_spl
| sQ195_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f5794,f1700,f1704,f476]) ).
fof(f5823,plain,
( ~ sQ53_spl
| sQ158_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f5799,f1987,f900,f476]) ).
fof(f5827,plain,
( ~ sQ53_spl
| sQ159_spl
| ~ sQ28_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f5807,f492,f391,f904,f476]) ).
fof(f5829,plain,
( ~ sQ261_spl
| ~ sQ147_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f835,f4293]) ).
fof(f5830,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ147_spl
| equalish(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f835,f4017]) ).
fof(f5831,plain,
( ~ sQ74_spl
| ~ sQ147_spl
| equalish(e_2,e_4)
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f835,f1904]) ).
fof(f5832,plain,
( ~ sQ74_spl
| ~ sQ147_spl
| equalish(e_2,e_1)
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f835,f1897]) ).
fof(f5858,plain,
( ~ sQ261_spl
| ~ sQ147_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f5829,f492,f834,f4292]) ).
fof(f5859,plain,
( ~ sQ74_spl
| ~ sQ147_spl
| sQ180_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f5831,f697,f1214,f834,f543]) ).
fof(f5860,plain,
( ~ sQ74_spl
| ~ sQ147_spl
| sQ167_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f5832,f697,f1020,f834,f543]) ).
fof(f5873,plain,
( ~ sQ172_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f1350,f777,f1087]) ).
fof(f5874,plain,
( ~ sQ230_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f2868,f123]) ).
fof(f5875,plain,
! [X0,X1] :
( ~ sQ32_spl
| ~ sQ74_spl
| equalish(e_5,X1)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f1911,f405]) ).
fof(f5878,plain,
! [X0,X1] :
( ~ sQ147_spl
| ~ sQ74_spl
| equalish(X1,e_4)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f1913,f835]) ).
fof(f5917,plain,
( ~ sQ259_spl
| ~ sQ109_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f666,f4200]) ).
fof(f5918,plain,
! [X0,X1] :
( ~ sQ61_spl
| ~ sQ109_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f666,f2529]) ).
fof(f5919,plain,
! [X0,X1] :
( ~ sQ61_spl
| ~ sQ109_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f666,f2527]) ).
fof(f5920,plain,
! [X0,X1] :
( ~ sQ61_spl
| ~ sQ109_spl
| equalish(e_2,X1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f666,f2523]) ).
fof(f5921,plain,
! [X0,X1] :
( ~ sQ61_spl
| ~ sQ109_spl
| equalish(X1,e_2)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f666,f2521]) ).
fof(f5922,plain,
( ~ sQ61_spl
| ~ sQ109_spl
| equalish(e_2,e_5)
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f666,f2513]) ).
fof(f5923,plain,
( ~ sQ61_spl
| ~ sQ109_spl
| equalish(e_4,e_5)
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f666,f2507]) ).
fof(f5949,plain,
( ~ sQ259_spl
| ~ sQ109_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f5917,f394,f665,f4199]) ).
fof(f5950,plain,
( ~ sQ61_spl
| ~ sQ109_spl
| sQ171_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f5922,f426,f1036,f665,f502]) ).
fof(f5951,plain,
( ~ sQ61_spl
| ~ sQ109_spl
| sQ159_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f5923,f426,f904,f665,f502]) ).
fof(f5964,plain,
( ~ sQ248_spl
| ~ sQ135_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f797,f3451]) ).
fof(f5965,plain,
( ~ sQ5_spl
| ~ sQ135_spl
| ~ greater(e_2,e_4) ),
inference(resolution,[status(thm)],[f797,f312]) ).
fof(f5966,plain,
! [X0,X1] :
( ~ sQ122_spl
| ~ sQ135_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f797,f3177]) ).
fof(f5967,plain,
! [X0,X1] :
( ~ sQ122_spl
| ~ sQ135_spl
| equalish(X1,e_2)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f797,f3171]) ).
fof(f5968,plain,
( ~ sQ122_spl
| ~ sQ135_spl
| equalish(e_4,e_2)
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f797,f3162]) ).
fof(f5969,plain,
( ~ sQ122_spl
| ~ sQ135_spl
| equalish(e_4,e_1)
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f797,f3155]) ).
fof(f5970,plain,
! [X0] :
( ~ sQ135_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f797,f144]) ).
fof(f5971,plain,
! [X0] :
( ~ sQ135_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f797,f142]) ).
fof(f5972,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f797,f142]) ).
fof(f5973,plain,
( ~ sQ135_spl
| equalish(e_1,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f797,f167]) ).
fof(f5974,plain,
! [X0] :
( ~ sQ135_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f797,f140]) ).
fof(f5975,plain,
( ~ sQ135_spl
| equalish(e_2,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f797,f148]) ).
fof(f5976,plain,
! [X0] :
( ~ sQ135_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f797,f138]) ).
fof(f5977,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f797,f122]) ).
fof(f5978,plain,
! [X0] :
( ~ sQ135_spl
| equalish(e_4,e_2)
| ~ product(e_1,e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f797,f136]) ).
fof(f5979,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f797,f136]) ).
fof(f5980,plain,
! [X0] :
( ~ sQ135_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f797,f134]) ).
fof(f5981,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f797,f120]) ).
fof(f5982,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f797,f118]) ).
fof(f5983,plain,
! [X0] :
( ~ sQ135_spl
| equalish(e_2,e_2)
| ~ product(e_1,e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f797,f127]) ).
fof(f5984,plain,
! [X0,X1,X2] :
( ~ sQ135_spl
| equalish(X1,e_2)
| ~ product(e_4,X0,X1)
| ~ product(e_1,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f797,f127]) ).
fof(f5985,plain,
( ~ sQ135_spl
| equalish(e_2,e_1)
| ~ product(e_4,e_4,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f797,f127]) ).
fof(f5986,plain,
! [X0,X1,X2] :
( ~ sQ135_spl
| equalish(e_2,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f797,f127]) ).
fof(f5988,plain,
! [X0,X1,X2] :
( ~ sQ135_spl
| equalish(X1,e_1)
| ~ product(X2,e_4,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f797,f127]) ).
fof(f5989,plain,
! [X0] :
( ~ sQ135_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f797,f125]) ).
fof(f5990,plain,
! [X0,X1,X2] :
( ~ sQ135_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,X1)
| ~ product(e_1,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f797,f125]) ).
fof(f5991,plain,
( ~ sQ135_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_4,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f797,f125]) ).
fof(f5992,plain,
! [X0,X1,X2] :
( ~ sQ135_spl
| equalish(e_1,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f797,f125]) ).
fof(f5994,plain,
! [X0,X1,X2] :
( ~ sQ135_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f797,f125]) ).
fof(f5995,plain,
( ~ sQ122_spl
| ~ sQ135_spl
| sQ179_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f5968,f489,f1210,f796,f707]) ).
fof(f5996,plain,
( ~ sQ122_spl
| ~ sQ135_spl
| sQ155_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f5969,f489,f888,f796,f707]) ).
fof(f5997,definition,
! [X0] :
( sQ271_spl
<=> ( ~ product(e_1,e_2,X0)
| ~ product(e_4,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f5998,plain,
! [X0] :
( ~ sQ271_spl
| ~ product(e_1,e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(component_clause,[status(thm)],[f5997]) ).
fof(f6000,plain,
( ~ sQ135_spl
| sQ155_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f5971,f5997,f888,f796]) ).
fof(f6001,plain,
( ~ sQ135_spl
| sQ156_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f5973,f710,f892,f796]) ).
fof(f6002,plain,
( ~ sQ135_spl
| sQ156_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f5974,f5997,f892,f796]) ).
fof(f6003,plain,
( ~ sQ135_spl
| sQ180_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f5975,f710,f1214,f796]) ).
fof(f6004,plain,
( ~ sQ135_spl
| sQ179_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f5978,f5997,f1210,f796]) ).
fof(f6005,plain,
( ~ sQ135_spl
| sQ180_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f5980,f5997,f1214,f796]) ).
fof(f6006,plain,
( ~ sQ135_spl
| sQ170_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f5983,f5629,f1032,f796]) ).
fof(f6007,plain,
( ~ sQ135_spl
| sQ167_spl
| ~ sQ55_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f5985,f704,f483,f1020,f796]) ).
fof(f6009,plain,
( ~ sQ135_spl
| sQ173_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f5989,f5629,f1093,f796]) ).
fof(f6010,plain,
( ~ sQ135_spl
| sQ156_spl
| ~ sQ55_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f5991,f704,f483,f892,f796]) ).
fof(f6012,plain,
( ~ sQ46_spl
| ~ sQ138_spl
| sQ159_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f4828,f486,f904,f805,f449]) ).
fof(f6013,plain,
( ~ sQ46_spl
| ~ sQ138_spl
| sQ155_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f4831,f486,f888,f805,f449]) ).
fof(f6014,definition,
! [X0] :
( sQ272_spl
<=> ( ~ product(e_1,e_5,X0)
| ~ product(e_4,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f6015,plain,
! [X0] :
( ~ sQ272_spl
| ~ product(e_1,e_5,X0)
| ~ product(e_4,e_4,X0) ),
inference(component_clause,[status(thm)],[f6014]) ).
fof(f6017,plain,
( ~ sQ138_spl
| sQ155_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f4833,f6014,f888,f805]) ).
fof(f6018,plain,
( ~ sQ138_spl
| sQ156_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f4835,f455,f892,f805]) ).
fof(f6019,plain,
( ~ sQ138_spl
| sQ156_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f4836,f6014,f892,f805]) ).
fof(f6020,plain,
( ~ sQ138_spl
| sQ195_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f4837,f455,f1704,f805]) ).
fof(f6021,plain,
( ~ sQ138_spl
| sQ159_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f4840,f6014,f904,f805]) ).
fof(f6022,plain,
( ~ sQ138_spl
| sQ195_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f4842,f6014,f1704,f805]) ).
fof(f6023,plain,
( ~ sQ138_spl
| sQ125_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f4845,f3365,f749,f805]) ).
fof(f6026,plain,
( ~ sQ138_spl
| sQ173_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f4851,f3365,f1093,f805]) ).
fof(f6032,plain,
( ~ sQ191_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f1542,f123]) ).
fof(f6033,plain,
! [X0,X1] :
( ~ sQ32_spl
| ~ sQ74_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f1917,f405]) ).
fof(f6036,plain,
! [X0,X1] :
( ~ sQ147_spl
| ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f1919,f835]) ).
fof(f6037,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ94_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f2864,f424]) ).
fof(f6083,plain,
( ~ sQ98_spl
| ~ sQ265_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f4902,f626]) ).
fof(f6087,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ94_spl
| equalish(e_5,X1)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f2858,f424]) ).
fof(f6089,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ139_spl
| equalish(e_1,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f810,f368]) ).
fof(f6090,plain,
( ~ sQ139_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f810,f144]) ).
fof(f6091,plain,
! [X0,X1] :
( ~ sQ139_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f810,f144]) ).
fof(f6093,plain,
! [X0] :
( ~ sQ139_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f810,f144]) ).
fof(f6096,plain,
( ~ sQ139_spl
| equalish(e_1,e_3)
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f810,f167]) ).
fof(f6097,plain,
( ~ sQ139_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f810,f160]) ).
fof(f6098,plain,
! [X0] :
( ~ sQ139_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f810,f140]) ).
fof(f6101,plain,
! [X0,X1] :
( ~ sQ139_spl
| equalish(X1,e_1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f810,f138]) ).
fof(f6104,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f810,f122]) ).
fof(f6105,plain,
! [X0] :
( ~ sQ139_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f810,f136]) ).
fof(f6106,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f810,f136]) ).
fof(f6108,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f810,f120]) ).
fof(f6109,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f810,f118]) ).
fof(f6110,plain,
! [X0] :
( ~ sQ139_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f810,f127]) ).
fof(f6111,plain,
! [X0,X1,X2] :
( ~ sQ139_spl
| equalish(X1,e_1)
| ~ product(e_3,X0,X1)
| ~ product(e_1,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f810,f127]) ).
fof(f6113,plain,
! [X0,X1,X2] :
( ~ sQ139_spl
| equalish(e_1,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f810,f127]) ).
fof(f6115,plain,
! [X0,X1,X2] :
( ~ sQ139_spl
| equalish(X1,e_1)
| ~ product(X2,e_3,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f810,f127]) ).
fof(f6117,plain,
! [X0,X1,X2] :
( ~ sQ139_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,X1)
| ~ product(e_1,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f810,f125]) ).
fof(f6118,plain,
( ~ sQ139_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_3,e_1)
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f810,f125]) ).
fof(f6119,plain,
! [X0,X1,X2] :
( ~ sQ139_spl
| equalish(e_1,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f810,f125]) ).
fof(f6121,plain,
! [X0,X1,X2] :
( ~ sQ139_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f810,f125]) ).
fof(f6122,plain,
( ~ sQ139_spl
| sQ173_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f6090,f841,f1093,f809]) ).
fof(f6125,plain,
( ~ sQ139_spl
| sQ162_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f6096,f847,f958,f809]) ).
fof(f6126,plain,
( ~ sQ139_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f6097,f954,f809]) ).
fof(f6127,plain,
( ~ sQ139_spl
| sQ162_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f6098,f2714,f958,f809]) ).
fof(f6131,plain,
( ~ sQ139_spl
| sQ161_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f6105,f2714,f954,f809]) ).
fof(f6133,plain,
( ~ sQ139_spl
| sQ173_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f6110,f4662,f1093,f809]) ).
fof(f6137,plain,
( ~ sQ139_spl
| sQ162_spl
| ~ sQ85_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f6118,f841,f584,f958,f809]) ).
fof(f6139,plain,
( ~ sQ143_spl
| ~ sQ229_spl ),
inference(contradiction_clause,[status(thm)],[f2839]) ).
fof(f6140,plain,
( ~ sQ46_spl
| ~ sQ143_spl
| sQ165_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f4367,f587,f970,f821,f449]) ).
fof(f6141,plain,
( ~ sQ46_spl
| ~ sQ143_spl
| sQ161_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f4370,f587,f954,f821,f449]) ).
fof(f6142,definition,
! [X0] :
( sQ273_spl
<=> ( ~ product(e_1,e_5,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f6143,plain,
! [X0] :
( ~ sQ273_spl
| ~ product(e_1,e_5,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f6142]) ).
fof(f6145,plain,
( ~ sQ143_spl
| sQ161_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f4372,f6142,f954,f821]) ).
fof(f6146,plain,
( ~ sQ143_spl
| sQ162_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f4374,f452,f958,f821]) ).
fof(f6147,plain,
( ~ sQ143_spl
| sQ162_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f4375,f6142,f958,f821]) ).
fof(f6148,plain,
( ~ sQ143_spl
| sQ187_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f4376,f452,f1432,f821]) ).
fof(f6149,plain,
( ~ sQ143_spl
| sQ165_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f4379,f6142,f970,f821]) ).
fof(f6150,plain,
( ~ sQ143_spl
| sQ187_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f4381,f6142,f1432,f821]) ).
fof(f6151,plain,
( ~ sQ143_spl
| sQ125_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f4384,f3365,f749,f821]) ).
fof(f6154,plain,
( ~ sQ143_spl
| sQ173_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f4390,f3365,f1093,f821]) ).
fof(f6157,plain,
( ~ sQ233_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f3001,f123]) ).
fof(f6158,plain,
( ~ sQ38_spl
| ~ sQ94_spl
| equalish(e_5,e_4)
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f2848,f424]) ).
fof(f6159,plain,
( ~ sQ38_spl
| ~ sQ94_spl
| sQ195_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f6158,f524,f1704,f612,f423]) ).
fof(f6162,plain,
( ~ sQ38_spl
| ~ sQ94_spl
| equalish(e_3,e_4)
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f2842,f424]) ).
fof(f6163,plain,
( ~ sQ38_spl
| ~ sQ94_spl
| sQ190_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f6162,f524,f1486,f612,f423]) ).
fof(f6169,plain,
! [X0,X1] :
( ~ sQ2_spl
| equalish(X0,X1)
| ~ next(e_5,X1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f196,f279]) ).
fof(f6173,plain,
! [X0,X1] :
( ~ sQ1_spl
| equalish(X0,X1)
| ~ next(e_5,X1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f193,f280]) ).
fof(f6187,plain,
( ~ sQ188_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f1477,f123]) ).
fof(f6191,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f480,f1471]) ).
fof(f6192,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ54_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f480,f1473]) ).
fof(f6193,plain,
! [X0,X1] :
( ~ sQ32_spl
| ~ sQ54_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f480,f1789]) ).
fof(f6194,plain,
! [X0,X1] :
( ~ sQ32_spl
| ~ sQ54_spl
| equalish(X1,e_5)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f480,f1783]) ).
fof(f6195,plain,
( ~ sQ32_spl
| ~ sQ54_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f480,f1774]) ).
fof(f6196,plain,
( ~ sQ32_spl
| ~ sQ54_spl
| equalish(e_5,e_4)
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f480,f1767]) ).
fof(f6197,plain,
( ~ sQ74_spl
| ~ sQ54_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f480,f1902]) ).
fof(f6198,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f480,f144]) ).
fof(f6199,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f480,f142]) ).
fof(f6200,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f480,f142]) ).
fof(f6203,plain,
( ~ sQ54_spl
| equalish(e_5,e_5)
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f480,f148]) ).
fof(f6205,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f480,f122]) ).
fof(f6206,plain,
( ~ sQ54_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f480,f146]) ).
fof(f6207,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,e_5)
| ~ product(e_4,e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f480,f136]) ).
fof(f6208,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f480,f136]) ).
fof(f6210,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f480,f120]) ).
fof(f6211,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f480,f118]) ).
fof(f6212,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,e_5)
| ~ product(e_4,e_5,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f480,f127]) ).
fof(f6213,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| equalish(X1,e_5)
| ~ product(e_5,X0,X1)
| ~ product(e_4,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f480,f127]) ).
fof(f6215,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| equalish(e_5,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f480,f127]) ).
fof(f6217,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| equalish(X1,e_4)
| ~ product(X2,e_5,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f480,f127]) ).
fof(f6218,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_5,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f480,f125]) ).
fof(f6219,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,X1)
| ~ product(e_4,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f480,f125]) ).
fof(f6221,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| equalish(e_4,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f480,f125]) ).
fof(f6223,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f480,f125]) ).
fof(f6224,plain,
( ~ sQ32_spl
| ~ sQ54_spl
| sQ125_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f6195,f388,f749,f479,f404]) ).
fof(f6225,plain,
( ~ sQ32_spl
| ~ sQ54_spl
| sQ195_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f6196,f388,f1704,f479,f404]) ).
fof(f6226,plain,
( ~ sQ74_spl
| ~ sQ54_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f6197,f761,f479,f543]) ).
fof(f6227,definition,
! [X0] :
( sQ274_spl
<=> ( ~ product(e_4,e_5,X0)
| ~ product(e_5,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f6228,plain,
! [X0] :
( ~ sQ274_spl
| ~ product(e_4,e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(component_clause,[status(thm)],[f6227]) ).
fof(f6230,plain,
( ~ sQ54_spl
| sQ195_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f6199,f6227,f1704,f479]) ).
fof(f6233,plain,
( ~ sQ54_spl
| sQ125_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f6203,f410,f749,f479]) ).
fof(f6234,plain,
( ~ sQ54_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f6206,f904,f479]) ).
fof(f6235,plain,
( ~ sQ54_spl
| sQ125_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f6207,f6227,f749,f479]) ).
fof(f6237,plain,
( ~ sQ54_spl
| sQ125_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f6212,f1929,f749,f479]) ).
fof(f6240,plain,
( ~ sQ54_spl
| sQ158_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f6218,f1929,f900,f479]) ).
fof(f6243,plain,
( ~ sQ210_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f4314,f401,f2174]) ).
fof(f6244,plain,
( ~ sQ222_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f4576,f499,f2659]) ).
fof(f6246,plain,
( ~ sQ47_spl
| ~ sQ246_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f453,f3375]) ).
fof(f6247,plain,
( ~ sQ96_spl
| ~ sQ256_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f620,f4008]) ).
fof(f6248,plain,
( ~ sQ31_spl
| ~ sQ201_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f402,f1939]) ).
fof(f6249,plain,
( ~ sQ123_spl
| ~ sQ270_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f711,f5639]) ).
fof(f6250,plain,
( ~ sQ218_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f4483,f659,f2532]) ).
fof(f6251,plain,
( ~ sQ60_spl
| ~ sQ223_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f500,f2678]) ).
fof(f6252,plain,
( ~ sQ166_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f1347,f637,f1014]) ).
fof(f6253,plain,
( ~ sQ47_spl
| ~ sQ246_spl ),
inference(contradiction_clause,[status(thm)],[f6246]) ).
fof(f6254,plain,
( ~ sQ96_spl
| ~ sQ256_spl ),
inference(contradiction_clause,[status(thm)],[f6247]) ).
fof(f6255,plain,
( ~ sQ31_spl
| ~ sQ201_spl ),
inference(contradiction_clause,[status(thm)],[f6248]) ).
fof(f6256,plain,
( ~ sQ123_spl
| ~ sQ270_spl ),
inference(contradiction_clause,[status(thm)],[f6249]) ).
fof(f6257,plain,
( ~ sQ60_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f6251]) ).
fof(f6259,plain,
( ~ sQ129_spl
| ~ greater(e_1,e_5) ),
inference(resolution,[status(thm)],[f778,f275]) ).
fof(f6260,plain,
( ~ sQ129_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f778,f144]) ).
fof(f6261,plain,
! [X0,X1] :
( ~ sQ129_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f778,f144]) ).
fof(f6263,plain,
! [X0] :
( ~ sQ129_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f778,f144]) ).
fof(f6266,plain,
( ~ sQ129_spl
| equalish(e_1,e_5)
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f778,f167]) ).
fof(f6267,plain,
( ~ sQ129_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f778,f160]) ).
fof(f6268,plain,
! [X0] :
( ~ sQ129_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f778,f140]) ).
fof(f6271,plain,
! [X0,X1] :
( ~ sQ129_spl
| equalish(X1,e_1)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f778,f138]) ).
fof(f6274,plain,
! [X0] :
( ~ sQ129_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f778,f122]) ).
fof(f6275,plain,
! [X0] :
( ~ sQ129_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f778,f136]) ).
fof(f6276,plain,
! [X0] :
( ~ sQ129_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f778,f136]) ).
fof(f6278,plain,
! [X0] :
( ~ sQ129_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f778,f120]) ).
fof(f6279,plain,
! [X0] :
( ~ sQ129_spl
| equalish(X0,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f778,f118]) ).
fof(f6280,plain,
! [X0] :
( ~ sQ129_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f778,f127]) ).
fof(f6281,plain,
! [X0,X1,X2] :
( ~ sQ129_spl
| equalish(X1,e_1)
| ~ product(e_5,X0,X1)
| ~ product(e_1,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f778,f127]) ).
fof(f6283,plain,
! [X0,X1,X2] :
( ~ sQ129_spl
| equalish(e_1,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f778,f127]) ).
fof(f6285,plain,
! [X0,X1,X2] :
( ~ sQ129_spl
| equalish(X1,e_1)
| ~ product(X2,e_5,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f778,f127]) ).
fof(f6287,plain,
! [X0,X1,X2] :
( ~ sQ129_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,X1)
| ~ product(e_1,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f778,f125]) ).
fof(f6288,plain,
( ~ sQ129_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_5,e_1)
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f778,f125]) ).
fof(f6289,plain,
! [X0,X1,X2] :
( ~ sQ129_spl
| equalish(e_1,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f778,f125]) ).
fof(f6291,plain,
! [X0,X1,X2] :
( ~ sQ129_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f778,f125]) ).
fof(f6292,plain,
( ~ sQ129_spl
| sQ173_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f6260,f841,f1093,f777]) ).
fof(f6295,plain,
( ~ sQ129_spl
| sQ127_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f6266,f853,f757,f777]) ).
fof(f6296,plain,
( ~ sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f6267,f761,f777]) ).
fof(f6297,plain,
( ~ sQ129_spl
| sQ127_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f6268,f754,f757,f777]) ).
fof(f6301,plain,
( ~ sQ129_spl
| sQ128_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f6275,f754,f761,f777]) ).
fof(f6303,plain,
( ~ sQ129_spl
| sQ173_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f6280,f4662,f1093,f777]) ).
fof(f6307,plain,
( ~ sQ129_spl
| sQ127_spl
| ~ sQ25_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f6288,f841,f382,f757,f777]) ).
fof(f6309,plain,
( ~ sQ217_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f2492,f123]) ).
fof(f6349,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ145_spl
| equalish(e_2,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f829,f4017]) ).
fof(f6350,plain,
! [X0] :
( ~ sQ145_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f829,f144]) ).
fof(f6351,plain,
! [X0] :
( ~ sQ145_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f829,f142]) ).
fof(f6352,plain,
! [X0] :
( ~ sQ145_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f829,f142]) ).
fof(f6355,plain,
( ~ sQ145_spl
| equalish(e_2,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f829,f148]) ).
fof(f6357,plain,
! [X0] :
( ~ sQ145_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f829,f122]) ).
fof(f6358,plain,
( ~ sQ145_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f829,f146]) ).
fof(f6359,plain,
! [X0] :
( ~ sQ145_spl
| equalish(e_2,e_2)
| ~ product(e_1,e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f829,f136]) ).
fof(f6360,plain,
! [X0] :
( ~ sQ145_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f829,f136]) ).
fof(f6362,plain,
! [X0] :
( ~ sQ145_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f829,f120]) ).
fof(f6363,plain,
! [X0] :
( ~ sQ145_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f829,f118]) ).
fof(f6364,plain,
! [X0] :
( ~ sQ145_spl
| equalish(e_2,e_2)
| ~ product(e_1,e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f829,f127]) ).
fof(f6365,plain,
! [X0,X1,X2] :
( ~ sQ145_spl
| equalish(X1,e_2)
| ~ product(e_2,X0,X1)
| ~ product(e_1,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f829,f127]) ).
fof(f6367,plain,
! [X0,X1,X2] :
( ~ sQ145_spl
| equalish(e_2,X2)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f829,f127]) ).
fof(f6369,plain,
! [X0,X1,X2] :
( ~ sQ145_spl
| equalish(X1,e_1)
| ~ product(X2,e_2,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f829,f127]) ).
fof(f6370,plain,
! [X0] :
( ~ sQ145_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f829,f125]) ).
fof(f6371,plain,
! [X0,X1,X2] :
( ~ sQ145_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,X1)
| ~ product(e_1,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f829,f125]) ).
fof(f6373,plain,
! [X0,X1,X2] :
( ~ sQ145_spl
| equalish(e_1,X1)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f829,f125]) ).
fof(f6375,plain,
! [X0,X1,X2] :
( ~ sQ145_spl
| equalish(X0,e_2)
| ~ product(X2,e_2,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f829,f125]) ).
fof(f6376,definition,
! [X0] :
( sQ275_spl
<=> ( ~ product(e_1,e_2,X0)
| ~ product(e_2,e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f6377,plain,
! [X0] :
( ~ sQ275_spl
| ~ product(e_1,e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(component_clause,[status(thm)],[f6376]) ).
fof(f6379,plain,
( ~ sQ145_spl
| sQ167_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f6351,f6376,f1020,f828]) ).
fof(f6382,plain,
( ~ sQ145_spl
| sQ170_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f6355,f704,f1032,f828]) ).
fof(f6383,plain,
( ~ sQ145_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f6358,f1024,f828]) ).
fof(f6384,plain,
( ~ sQ145_spl
| sQ170_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f6359,f6376,f1032,f828]) ).
fof(f6386,plain,
( ~ sQ145_spl
| sQ170_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f6364,f5629,f1032,f828]) ).
fof(f6389,plain,
( ~ sQ145_spl
| sQ173_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f6370,f5629,f1093,f828]) ).
fof(f6392,plain,
( ~ sQ147_spl
| ~ sQ244_spl ),
inference(contradiction_clause,[status(thm)],[f3304]) ).
fof(f6393,plain,
( ~ sQ48_spl
| ~ sQ246_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f456,f3375]) ).
fof(f6394,plain,
( ~ sQ48_spl
| ~ sQ246_spl ),
inference(contradiction_clause,[status(thm)],[f6393]) ).
fof(f6445,plain,
( ~ sQ212_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f2272,f123]) ).
fof(f6447,plain,
( ~ sQ40_spl
| ~ sQ114_spl
| equalish(e_3,e_5)
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f682,f1362]) ).
fof(f6448,plain,
( ~ sQ40_spl
| ~ sQ114_spl
| equalish(e_3,e_2)
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f682,f1355]) ).
fof(f6474,plain,
( ~ sQ40_spl
| ~ sQ114_spl
| sQ165_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f6447,f584,f970,f681,f430]) ).
fof(f6475,plain,
( ~ sQ40_spl
| ~ sQ114_spl
| sQ182_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f6448,f584,f1268,f681,f430]) ).
fof(f6488,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f660,f144]) ).
fof(f6489,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f660,f142]) ).
fof(f6490,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f660,f142]) ).
fof(f6491,plain,
( ~ sQ107_spl
| equalish(e_2,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f660,f167]) ).
fof(f6492,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f660,f140]) ).
fof(f6493,plain,
( ~ sQ107_spl
| equalish(e_3,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f660,f148]) ).
fof(f6494,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f660,f138]) ).
fof(f6495,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f660,f122]) ).
fof(f6496,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,e_3)
| ~ product(e_2,e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f660,f136]) ).
fof(f6497,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f660,f136]) ).
fof(f6498,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f660,f134]) ).
fof(f6499,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f660,f120]) ).
fof(f6500,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f660,f118]) ).
fof(f6501,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,e_3)
| ~ product(e_2,e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f660,f127]) ).
fof(f6502,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| equalish(X1,e_3)
| ~ product(e_4,X0,X1)
| ~ product(e_2,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f660,f127]) ).
fof(f6503,plain,
( ~ sQ107_spl
| equalish(e_3,e_2)
| ~ product(e_4,e_4,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f660,f127]) ).
fof(f6504,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| equalish(e_3,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f660,f127]) ).
fof(f6506,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| equalish(X1,e_2)
| ~ product(X2,e_4,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f660,f127]) ).
fof(f6507,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f660,f125]) ).
fof(f6508,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,X1)
| ~ product(e_2,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f660,f125]) ).
fof(f6509,plain,
( ~ sQ107_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_4,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f660,f125]) ).
fof(f6510,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| equalish(e_2,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f660,f125]) ).
fof(f6512,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f660,f125]) ).
fof(f6513,definition,
! [X0] :
( sQ276_spl
<=> ( ~ product(e_2,e_3,X0)
| ~ product(e_4,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f6514,plain,
! [X0] :
( ~ sQ276_spl
| ~ product(e_2,e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(component_clause,[status(thm)],[f6513]) ).
fof(f6516,plain,
( ~ sQ107_spl
| sQ179_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f6489,f6513,f1210,f659]) ).
fof(f6517,plain,
( ~ sQ107_spl
| sQ180_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f6491,f609,f1214,f659]) ).
fof(f6518,plain,
( ~ sQ107_spl
| sQ180_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f6492,f6513,f1214,f659]) ).
fof(f6519,plain,
( ~ sQ107_spl
| sQ190_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f6493,f609,f1486,f659]) ).
fof(f6520,plain,
( ~ sQ107_spl
| sQ189_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f6496,f6513,f1482,f659]) ).
fof(f6521,plain,
( ~ sQ107_spl
| sQ190_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f6498,f6513,f1486,f659]) ).
fof(f6522,plain,
( ~ sQ107_spl
| sQ164_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f6501,f3187,f966,f659]) ).
fof(f6523,plain,
( ~ sQ107_spl
| sQ182_spl
| ~ sQ56_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f6503,f606,f486,f1268,f659]) ).
fof(f6525,plain,
( ~ sQ107_spl
| sQ170_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f6507,f3187,f1032,f659]) ).
fof(f6526,plain,
( ~ sQ107_spl
| sQ180_spl
| ~ sQ56_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f6509,f606,f486,f1214,f659]) ).
fof(f6528,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f638,f144]) ).
fof(f6529,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_1,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f638,f142]) ).
fof(f6530,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f638,f142]) ).
fof(f6531,plain,
( ~ sQ100_spl
| equalish(e_2,e_5)
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f638,f167]) ).
fof(f6532,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f638,f140]) ).
fof(f6533,plain,
( ~ sQ100_spl
| equalish(e_1,e_5)
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f638,f148]) ).
fof(f6534,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f638,f138]) ).
fof(f6535,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f638,f122]) ).
fof(f6536,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_5,e_1)
| ~ product(e_2,e_1,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f638,f136]) ).
fof(f6537,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,X0,e_1) ),
inference(resolution,[status(thm)],[f638,f136]) ).
fof(f6538,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f638,f134]) ).
fof(f6539,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f638,f120]) ).
fof(f6540,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f638,f118]) ).
fof(f6541,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,e_1)
| ~ product(e_2,e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f638,f127]) ).
fof(f6542,plain,
! [X0,X1,X2] :
( ~ sQ100_spl
| equalish(X1,e_1)
| ~ product(e_5,X0,X1)
| ~ product(e_2,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f638,f127]) ).
fof(f6543,plain,
( ~ sQ100_spl
| equalish(e_1,e_2)
| ~ product(e_5,e_5,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f638,f127]) ).
fof(f6544,plain,
! [X0,X1,X2] :
( ~ sQ100_spl
| equalish(e_1,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f638,f127]) ).
fof(f6546,plain,
! [X0,X1,X2] :
( ~ sQ100_spl
| equalish(X1,e_2)
| ~ product(X2,e_5,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f638,f127]) ).
fof(f6547,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f638,f125]) ).
fof(f6548,plain,
! [X0,X1,X2] :
( ~ sQ100_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,X1)
| ~ product(e_2,e_1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f638,f125]) ).
fof(f6549,plain,
( ~ sQ100_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_5,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f638,f125]) ).
fof(f6550,plain,
! [X0,X1,X2] :
( ~ sQ100_spl
| equalish(e_2,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f638,f125]) ).
fof(f6552,plain,
! [X0,X1,X2] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f638,f125]) ).
fof(f6553,definition,
! [X0] :
( sQ277_spl
<=> ( ~ product(e_2,e_1,X0)
| ~ product(e_5,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f6554,plain,
! [X0] :
( ~ sQ277_spl
| ~ product(e_2,e_1,X0)
| ~ product(e_5,e_5,X0) ),
inference(component_clause,[status(thm)],[f6553]) ).
fof(f6556,plain,
( ~ sQ100_spl
| sQ176_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f6529,f6553,f1153,f637]) ).
fof(f6557,plain,
( ~ sQ100_spl
| sQ171_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f6531,f837,f1036,f637]) ).
fof(f6558,plain,
( ~ sQ100_spl
| sQ171_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f6532,f6553,f1036,f637]) ).
fof(f6559,plain,
( ~ sQ100_spl
| sQ127_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f6533,f837,f757,f637]) ).
fof(f6560,plain,
( ~ sQ100_spl
| sQ128_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f6536,f6553,f761,f637]) ).
fof(f6561,plain,
( ~ sQ100_spl
| sQ127_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f6538,f6553,f757,f637]) ).
fof(f6562,plain,
( ~ sQ100_spl
| sQ173_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f6541,f3293,f1093,f637]) ).
fof(f6563,plain,
( ~ sQ100_spl
| sQ168_spl
| ~ sQ26_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f6543,f825,f385,f1024,f637]) ).
fof(f6565,plain,
( ~ sQ100_spl
| sQ170_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f6547,f3293,f1032,f637]) ).
fof(f6566,plain,
( ~ sQ100_spl
| sQ171_spl
| ~ sQ26_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f6549,f825,f385,f1036,f637]) ).
fof(f6568,plain,
( ~ sQ184_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f1316,f123]) ).
fof(f6569,plain,
! [X0,X1] :
( ~ sQ114_spl
| ~ sQ40_spl
| equalish(X1,e_5)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f1371,f682]) ).
fof(f6610,plain,
! [X0,X1] :
( ~ sQ114_spl
| ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f1377,f682]) ).
fof(f6611,plain,
( ~ sQ80_spl
| ~ sQ67_spl
| equalish(e_4,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f2245,f569]) ).
fof(f6612,plain,
( ~ sQ80_spl
| ~ sQ67_spl
| sQ155_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f6611,f825,f888,f521,f568]) ).
fof(f6613,plain,
( ~ sQ114_spl
| ~ sQ268_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f5515,f682]) ).
fof(f6614,plain,
( ~ sQ114_spl
| ~ sQ268_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f6613,f394,f5514,f681]) ).
fof(f6617,plain,
( ~ sQ80_spl
| ~ sQ67_spl
| equalish(e_3,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f2251,f569]) ).
fof(f6618,plain,
( ~ sQ80_spl
| ~ sQ67_spl
| sQ161_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f6617,f825,f954,f521,f568]) ).
fof(f6658,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ131_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f784,f1375]) ).
fof(f6659,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ131_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f784,f1373]) ).
fof(f6660,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ131_spl
| equalish(e_1,X1)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f784,f1369]) ).
fof(f6661,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ131_spl
| equalish(X1,e_1)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f784,f1367]) ).
fof(f6662,plain,
( ~ sQ40_spl
| ~ sQ131_spl
| equalish(e_1,e_3)
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f784,f1359]) ).
fof(f6663,plain,
( ~ sQ40_spl
| ~ sQ131_spl
| equalish(e_5,e_3)
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f784,f1353]) ).
fof(f6690,plain,
( ~ sQ40_spl
| ~ sQ131_spl
| sQ162_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f6662,f606,f958,f783,f430]) ).
fof(f6691,plain,
( ~ sQ40_spl
| ~ sQ131_spl
| sQ187_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f6663,f606,f1432,f783,f430]) ).
fof(f6704,plain,
( ~ sQ213_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f2314,f123]) ).
fof(f6705,plain,
! [X0,X1] :
( ~ sQ80_spl
| ~ sQ67_spl
| equalish(X1,e_3)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f2259,f569]) ).
fof(f6708,plain,
! [X0,X1] :
( ~ sQ80_spl
| ~ sQ67_spl
| equalish(e_3,X1)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f2261,f569]) ).
fof(f6826,plain,
( ~ sQ262_spl
| ~ sQ147_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f835,f4346]) ).
fof(f6908,plain,
( ~ sQ243_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f3284,f123]) ).
fof(f6909,plain,
! [X0,X1] :
( ~ sQ80_spl
| ~ sQ67_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f2265,f569]) ).
fof(f6912,plain,
! [X0,X1] :
( ~ sQ80_spl
| ~ sQ67_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f2267,f569]) ).
fof(f6913,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ143_spl
| equalish(e_5,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f822,f368]) ).
fof(f6914,plain,
( ~ sQ114_spl
| ~ sQ143_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f822,f3833]) ).
fof(f6940,plain,
( ~ sQ114_spl
| ~ sQ143_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f6914,f1024,f821,f681]) ).
fof(f6953,plain,
( ~ sQ230_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f5874,f417,f2867]) ).
fof(f6955,plain,
( ~ sQ36_spl
| ~ sQ221_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f418,f2632]) ).
fof(f6956,plain,
( ~ sQ36_spl
| ~ sQ221_spl ),
inference(contradiction_clause,[status(thm)],[f6955]) ).
fof(f6957,plain,
( ~ sQ131_spl
| ~ sQ77_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f559,f5452]) ).
fof(f6958,plain,
( ~ sQ77_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f559,f144]) ).
fof(f6959,plain,
! [X0,X1] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f559,f144]) ).
fof(f6961,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f559,f144]) ).
fof(f6964,plain,
( ~ sQ77_spl
| equalish(e_3,e_5)
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f559,f167]) ).
fof(f6965,plain,
( ~ sQ77_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f559,f160]) ).
fof(f6966,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f559,f140]) ).
fof(f6969,plain,
! [X0,X1] :
( ~ sQ77_spl
| equalish(X1,e_3)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f559,f138]) ).
fof(f6972,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f559,f122]) ).
fof(f6973,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f559,f136]) ).
fof(f6974,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f559,f136]) ).
fof(f6976,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f559,f120]) ).
fof(f6977,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f559,f118]) ).
fof(f6978,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f559,f127]) ).
fof(f6979,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(X1,e_3)
| ~ product(e_5,X0,X1)
| ~ product(e_3,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f559,f127]) ).
fof(f6981,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(e_3,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f559,f127]) ).
fof(f6983,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(X1,e_3)
| ~ product(X2,e_5,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f559,f127]) ).
fof(f6985,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,X1)
| ~ product(e_3,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f559,f125]) ).
fof(f6986,plain,
( ~ sQ77_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_5,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f559,f125]) ).
fof(f6987,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(e_3,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f559,f125]) ).
fof(f6989,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f559,f125]) ).
fof(f6990,plain,
( ~ sQ131_spl
| ~ sQ77_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f6957,f954,f558,f783]) ).
fof(f6991,plain,
( ~ sQ77_spl
| sQ164_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f6958,f590,f966,f558]) ).
fof(f6994,plain,
( ~ sQ77_spl
| sQ165_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f6964,f596,f970,f558]) ).
fof(f6995,plain,
( ~ sQ77_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f6965,f1432,f558]) ).
fof(f6996,plain,
( ~ sQ77_spl
| sQ165_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f6966,f1428,f970,f558]) ).
fof(f7000,plain,
( ~ sQ77_spl
| sQ187_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f6973,f1428,f1432,f558]) ).
fof(f7002,plain,
( ~ sQ77_spl
| sQ164_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f6978,f2726,f966,f558]) ).
fof(f7006,plain,
( ~ sQ77_spl
| sQ165_spl
| ~ sQ27_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f6986,f590,f388,f970,f558]) ).
fof(f7008,plain,
( ~ sQ208_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f2125,f123]) ).
fof(f7009,plain,
( ~ sQ206_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f2076,f123]) ).
fof(f7012,plain,
( ~ sQ160_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f949,f123]) ).
fof(f7013,plain,
( ~ sQ239_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f3179,f123]) ).
fof(f7016,plain,
( ~ sQ241_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f3236,f123]) ).
fof(f7017,plain,
( ~ sQ154_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f883,f123]) ).
fof(f7097,plain,
( ~ sQ196_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f1750,f123]) ).
fof(f7100,plain,
( ~ sQ228_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f2818,f123]) ).
fof(f7101,plain,
( ~ sQ143_spl
| ~ sQ266_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f4988,f822]) ).
fof(f7102,plain,
( ~ sQ264_spl
| ~ sQ65_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f516,f4757]) ).
fof(f7103,plain,
( ~ sQ40_spl
| ~ sQ65_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f516,f1364]) ).
fof(f7104,plain,
( ~ sQ60_spl
| ~ sQ65_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f516,f2555]) ).
fof(f7130,plain,
( ~ sQ40_spl
| ~ sQ65_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f7103,f904,f515,f430]) ).
fof(f7131,plain,
( ~ sQ60_spl
| ~ sQ65_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f7104,f1272,f515,f499]) ).
fof(f7144,plain,
( ~ sQ146_spl
| ~ sQ244_spl ),
inference(contradiction_clause,[status(thm)],[f3303]) ).
fof(f7145,plain,
( ~ sQ99_spl
| ~ sQ256_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f629,f4008]) ).
fof(f7146,plain,
( ~ sQ199_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f4309,f786,f1878]) ).
fof(f7148,plain,
( ~ sQ99_spl
| ~ sQ256_spl ),
inference(contradiction_clause,[status(thm)],[f7145]) ).
fof(f7154,plain,
! [X0,X1] :
( ~ sQ2_spl
| equalish(X0,X1)
| ~ next(e_5,X1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f196,f279]) ).
fof(f7158,plain,
! [X0,X1] :
( ~ sQ1_spl
| equalish(X0,X1)
| ~ next(e_5,X1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f193,f280]) ).
fof(f7164,plain,
! [X0,X1] :
( ~ sQ74_spl
| ~ sQ137_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f803,f1919]) ).
fof(f7165,plain,
! [X0,X1] :
( ~ sQ74_spl
| ~ sQ137_spl
| equalish(X1,e_4)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f803,f1913]) ).
fof(f7166,plain,
( ~ sQ74_spl
| ~ sQ137_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f803,f1904]) ).
fof(f7167,plain,
( ~ sQ74_spl
| ~ sQ137_spl
| equalish(e_4,e_1)
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f803,f1897]) ).
fof(f7168,plain,
! [X0] :
( ~ sQ137_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f803,f144]) ).
fof(f7169,plain,
! [X0] :
( ~ sQ137_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f803,f142]) ).
fof(f7170,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f803,f142]) ).
fof(f7173,plain,
( ~ sQ137_spl
| equalish(e_4,e_4)
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f803,f148]) ).
fof(f7175,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f803,f122]) ).
fof(f7176,plain,
( ~ sQ137_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f803,f146]) ).
fof(f7177,plain,
! [X0] :
( ~ sQ137_spl
| equalish(e_4,e_4)
| ~ product(e_1,e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f803,f136]) ).
fof(f7178,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f803,f136]) ).
fof(f7180,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f803,f120]) ).
fof(f7181,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f803,f118]) ).
fof(f7182,plain,
! [X0] :
( ~ sQ137_spl
| equalish(e_4,e_4)
| ~ product(e_1,e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f803,f127]) ).
fof(f7183,plain,
! [X0,X1,X2] :
( ~ sQ137_spl
| equalish(X1,e_4)
| ~ product(e_4,X0,X1)
| ~ product(e_1,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f803,f127]) ).
fof(f7185,plain,
! [X0,X1,X2] :
( ~ sQ137_spl
| equalish(e_4,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f803,f127]) ).
fof(f7187,plain,
! [X0,X1,X2] :
( ~ sQ137_spl
| equalish(X1,e_1)
| ~ product(X2,e_4,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f803,f127]) ).
fof(f7188,plain,
! [X0] :
( ~ sQ137_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f803,f125]) ).
fof(f7189,plain,
! [X0,X1,X2] :
( ~ sQ137_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,X1)
| ~ product(e_1,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f803,f125]) ).
fof(f7191,plain,
! [X0,X1,X2] :
( ~ sQ137_spl
| equalish(e_1,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f803,f125]) ).
fof(f7193,plain,
! [X0,X1,X2] :
( ~ sQ137_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f803,f125]) ).
fof(f7194,plain,
( ~ sQ74_spl
| ~ sQ137_spl
| sQ158_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f7166,f495,f900,f802,f543]) ).
fof(f7195,plain,
( ~ sQ74_spl
| ~ sQ137_spl
| sQ155_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f7167,f495,f888,f802,f543]) ).
fof(f7196,definition,
! [X0] :
( sQ278_spl
<=> ( ~ product(e_1,e_4,X0)
| ~ product(e_4,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f7197,plain,
! [X0] :
( ~ sQ278_spl
| ~ product(e_1,e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(component_clause,[status(thm)],[f7196]) ).
fof(f7199,plain,
( ~ sQ137_spl
| sQ155_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f7169,f7196,f888,f802]) ).
fof(f7202,plain,
( ~ sQ137_spl
| sQ158_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f7173,f540,f900,f802]) ).
fof(f7203,plain,
( ~ sQ137_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f7176,f892,f802]) ).
fof(f7204,plain,
( ~ sQ137_spl
| sQ158_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f7177,f7196,f900,f802]) ).
fof(f7206,plain,
( ~ sQ137_spl
| sQ158_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f7182,f3978,f900,f802]) ).
fof(f7209,plain,
( ~ sQ137_spl
| sQ173_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f7188,f3978,f1093,f802]) ).
fof(f7212,plain,
( ~ sQ138_spl
| ~ sQ209_spl ),
inference(contradiction_clause,[status(thm)],[f2146]) ).
fof(f7213,plain,
( ~ sQ226_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f2769,f123]) ).
fof(f7214,plain,
( ~ sQ94_spl
| ~ sQ79_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f565,f2849]) ).
fof(f7215,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f565,f144]) ).
fof(f7216,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f565,f142]) ).
fof(f7217,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f565,f142]) ).
fof(f7220,plain,
( ~ sQ79_spl
| equalish(e_5,e_5)
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f565,f148]) ).
fof(f7222,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f565,f122]) ).
fof(f7223,plain,
( ~ sQ79_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f565,f146]) ).
fof(f7224,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,e_5)
| ~ product(e_3,e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f565,f136]) ).
fof(f7225,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f565,f136]) ).
fof(f7227,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f565,f120]) ).
fof(f7228,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f565,f118]) ).
fof(f7229,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,e_5)
| ~ product(e_3,e_5,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f565,f127]) ).
fof(f7230,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| equalish(X1,e_5)
| ~ product(e_5,X0,X1)
| ~ product(e_3,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f565,f127]) ).
fof(f7232,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| equalish(e_5,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f565,f127]) ).
fof(f7234,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| equalish(X1,e_3)
| ~ product(X2,e_5,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f565,f127]) ).
fof(f7235,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_5,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f565,f125]) ).
fof(f7236,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,X1)
| ~ product(e_3,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f565,f125]) ).
fof(f7238,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| equalish(e_3,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f565,f125]) ).
fof(f7240,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f565,f125]) ).
fof(f7241,plain,
( ~ sQ94_spl
| ~ sQ79_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f7214,f1153,f564,f612]) ).
fof(f7242,definition,
! [X0] :
( sQ279_spl
<=> ( ~ product(e_3,e_5,X0)
| ~ product(e_5,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f7243,plain,
! [X0] :
( ~ sQ279_spl
| ~ product(e_3,e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(component_clause,[status(thm)],[f7242]) ).
fof(f7245,plain,
( ~ sQ79_spl
| sQ187_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f7216,f7242,f1432,f564]) ).
fof(f7248,plain,
( ~ sQ79_spl
| sQ125_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f7220,f426,f749,f564]) ).
fof(f7249,plain,
( ~ sQ79_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f7223,f970,f564]) ).
fof(f7250,plain,
( ~ sQ79_spl
| sQ125_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f7224,f7242,f749,f564]) ).
fof(f7252,plain,
( ~ sQ79_spl
| sQ125_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f7229,f2622,f749,f564]) ).
fof(f7255,plain,
( ~ sQ79_spl
| sQ164_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f7235,f2622,f966,f564]) ).
fof(f7261,plain,
( ~ sQ51_spl
| ~ sQ38_spl
| equalish(e_3,e_4)
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f424,f4181]) ).
fof(f7262,plain,
( ~ sQ51_spl
| ~ sQ38_spl
| equalish(e_3,e_5)
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f424,f4174]) ).
fof(f7289,plain,
( ~ sQ51_spl
| ~ sQ38_spl
| sQ190_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f7261,f587,f1486,f423,f470]) ).
fof(f7290,plain,
( ~ sQ51_spl
| ~ sQ38_spl
| sQ165_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f7262,f587,f970,f423,f470]) ).
fof(f7343,plain,
( ~ sQ181_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f1263,f123]) ).
fof(f7346,plain,
( ~ sQ264_spl
| ~ sQ67_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f522,f4757]) ).
fof(f7385,plain,
( ~ sQ266_spl
| ~ sQ140_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f813,f4988]) ).
fof(f7462,plain,
( ~ sQ146_spl
| ~ sQ67_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2256,f832]) ).
fof(f7464,plain,
( ~ sQ146_spl
| ~ sQ67_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f7462,f892,f521,f831]) ).
fof(f7466,plain,
( ~ sQ274_spl
| ~ sQ31_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f402,f6228]) ).
fof(f7578,plain,
( ~ sQ200_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f1921,f123]) ).
fof(f7581,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ138_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f806,f2568]) ).
fof(f7582,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ138_spl
| equalish(e_1,X1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f806,f2564]) ).
fof(f7583,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ138_spl
| equalish(X1,e_1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f806,f2562]) ).
fof(f7584,plain,
( ~ sQ60_spl
| ~ sQ138_spl
| equalish(e_1,e_5)
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f806,f2554]) ).
fof(f7585,plain,
( ~ sQ60_spl
| ~ sQ138_spl
| equalish(e_4,e_5)
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f806,f2548]) ).
fof(f7611,plain,
( ~ sQ60_spl
| ~ sQ138_spl
| sQ127_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f7584,f426,f757,f805,f499]) ).
fof(f7612,plain,
( ~ sQ60_spl
| ~ sQ138_spl
| sQ159_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f7585,f426,f904,f805,f499]) ).
fof(f7625,plain,
! [X0,X1] :
( ~ sQ51_spl
| ~ sQ107_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f660,f4194]) ).
fof(f7626,plain,
! [X0,X1] :
( ~ sQ51_spl
| ~ sQ107_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f660,f4192]) ).
fof(f7627,plain,
! [X0,X1] :
( ~ sQ51_spl
| ~ sQ107_spl
| equalish(e_2,X1)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f660,f4188]) ).
fof(f7628,plain,
! [X0,X1] :
( ~ sQ51_spl
| ~ sQ107_spl
| equalish(X1,e_2)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f660,f4186]) ).
fof(f7629,plain,
( ~ sQ259_spl
| ~ sQ107_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f660,f4200]) ).
fof(f7630,plain,
( ~ sQ51_spl
| ~ sQ107_spl
| equalish(e_2,e_3)
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f660,f4178]) ).
fof(f7631,plain,
( ~ sQ51_spl
| ~ sQ107_spl
| equalish(e_4,e_3)
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f660,f4172]) ).
fof(f7657,plain,
( ~ sQ51_spl
| ~ sQ107_spl
| sQ183_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f7630,f558,f1272,f659,f470]) ).
fof(f7658,plain,
( ~ sQ51_spl
| ~ sQ107_spl
| sQ189_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f7631,f558,f1482,f659,f470]) ).
fof(f7745,plain,
( ~ sQ123_spl
| ~ sQ271_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f5998,f711]) ).
fof(f7746,plain,
( ~ sQ123_spl
| ~ sQ271_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f7745,f492,f5997,f710]) ).
fof(f7747,plain,
! [X0,X1] :
( ~ sQ138_spl
| ~ sQ60_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f2570,f806]) ).
fof(f7750,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ74_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f1917,f402]) ).
fof(f7751,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ132_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f787,f1375]) ).
fof(f7752,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ132_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f787,f1373]) ).
fof(f7753,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ132_spl
| equalish(e_1,X1)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f787,f1369]) ).
fof(f7754,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ132_spl
| equalish(X1,e_1)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f787,f1367]) ).
fof(f7755,plain,
( ~ sQ40_spl
| ~ sQ132_spl
| equalish(e_1,e_4)
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f787,f1359]) ).
fof(f7756,plain,
( ~ sQ40_spl
| ~ sQ132_spl
| equalish(e_5,e_4)
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f787,f1353]) ).
fof(f7757,plain,
( ~ sQ132_spl
| ~ greater(e_4,e_5) ),
inference(resolution,[status(thm)],[f787,f275]) ).
fof(f7758,plain,
! [X0,X1] :
( ~ sQ74_spl
| ~ sQ132_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f787,f1919]) ).
fof(f7759,plain,
! [X0,X1] :
( ~ sQ74_spl
| ~ sQ132_spl
| equalish(X1,e_4)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f787,f1913]) ).
fof(f7760,plain,
( ~ sQ74_spl
| ~ sQ132_spl
| equalish(e_5,e_1)
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f787,f1897]) ).
fof(f7761,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f787,f144]) ).
fof(f7762,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_4,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f787,f142]) ).
fof(f7763,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f787,f142]) ).
fof(f7764,plain,
( ~ sQ132_spl
| equalish(e_1,e_5)
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f787,f167]) ).
fof(f7765,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f787,f140]) ).
fof(f7766,plain,
( ~ sQ132_spl
| equalish(e_4,e_5)
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f787,f148]) ).
fof(f7767,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f787,f138]) ).
fof(f7768,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f787,f122]) ).
fof(f7769,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_5,e_4)
| ~ product(e_1,e_4,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f787,f136]) ).
fof(f7770,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f787,f136]) ).
fof(f7771,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f787,f134]) ).
fof(f7772,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f787,f120]) ).
fof(f7773,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f787,f118]) ).
fof(f7774,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_4,e_4)
| ~ product(e_1,e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f787,f127]) ).
fof(f7775,plain,
! [X0,X1,X2] :
( ~ sQ132_spl
| equalish(X1,e_4)
| ~ product(e_5,X0,X1)
| ~ product(e_1,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f787,f127]) ).
fof(f7776,plain,
( ~ sQ132_spl
| equalish(e_4,e_1)
| ~ product(e_5,e_5,e_1)
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f787,f127]) ).
fof(f7777,plain,
! [X0,X1,X2] :
( ~ sQ132_spl
| equalish(e_4,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f787,f127]) ).
fof(f7779,plain,
! [X0,X1,X2] :
( ~ sQ132_spl
| equalish(X1,e_1)
| ~ product(X2,e_5,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f787,f127]) ).
fof(f7780,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f787,f125]) ).
fof(f7781,plain,
! [X0,X1,X2] :
( ~ sQ132_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,X1)
| ~ product(e_1,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f787,f125]) ).
fof(f7782,plain,
( ~ sQ132_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_5,e_1)
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f787,f125]) ).
fof(f7783,plain,
! [X0,X1,X2] :
( ~ sQ132_spl
| equalish(e_1,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f787,f125]) ).
fof(f7785,plain,
! [X0,X1,X2] :
( ~ sQ132_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f787,f125]) ).
fof(f7786,plain,
( ~ sQ40_spl
| ~ sQ132_spl
| sQ156_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f7755,f524,f892,f786,f430]) ).
fof(f7787,plain,
( ~ sQ40_spl
| ~ sQ132_spl
| sQ195_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f7756,f524,f1704,f786,f430]) ).
fof(f7788,plain,
( ~ sQ74_spl
| ~ sQ132_spl
| sQ128_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f7760,f394,f761,f786,f543]) ).
fof(f7789,definition,
! [X0] :
( sQ280_spl
<=> ( ~ product(e_1,e_4,X0)
| ~ product(e_5,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f7790,plain,
! [X0] :
( ~ sQ280_spl
| ~ product(e_1,e_4,X0)
| ~ product(e_5,e_5,X0) ),
inference(component_clause,[status(thm)],[f7789]) ).
fof(f7792,plain,
( ~ sQ132_spl
| sQ128_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f7762,f7789,f761,f786]) ).
fof(f7793,plain,
( ~ sQ132_spl
| sQ127_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f7764,f543,f757,f786]) ).
fof(f7794,plain,
( ~ sQ132_spl
| sQ127_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f7765,f7789,f757,f786]) ).
fof(f7795,plain,
( ~ sQ132_spl
| sQ159_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f7766,f543,f904,f786]) ).
fof(f7796,plain,
( ~ sQ132_spl
| sQ195_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f7769,f7789,f1704,f786]) ).
fof(f7797,plain,
( ~ sQ132_spl
| sQ159_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f7771,f7789,f904,f786]) ).
fof(f7798,plain,
( ~ sQ132_spl
| sQ158_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f7774,f3978,f900,f786]) ).
fof(f7799,plain,
( ~ sQ132_spl
| sQ155_spl
| ~ sQ25_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f7776,f540,f382,f888,f786]) ).
fof(f7801,plain,
( ~ sQ132_spl
| sQ173_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f7780,f3978,f1093,f786]) ).
fof(f7802,plain,
( ~ sQ132_spl
| sQ127_spl
| ~ sQ25_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f7782,f540,f382,f757,f786]) ).
fof(f7804,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f676,f144]) ).
fof(f7805,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f676,f142]) ).
fof(f7806,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f676,f142]) ).
fof(f7809,plain,
( ~ sQ112_spl
| equalish(e_3,e_3)
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f676,f148]) ).
fof(f7811,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f676,f122]) ).
fof(f7812,plain,
( ~ sQ112_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f676,f146]) ).
fof(f7813,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,e_3)
| ~ product(e_2,e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f676,f136]) ).
fof(f7814,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f676,f136]) ).
fof(f7816,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f676,f120]) ).
fof(f7817,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f676,f118]) ).
fof(f7818,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,e_3)
| ~ product(e_2,e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f676,f127]) ).
fof(f7819,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| equalish(X1,e_3)
| ~ product(e_3,X0,X1)
| ~ product(e_2,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f676,f127]) ).
fof(f7821,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| equalish(e_3,X2)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f676,f127]) ).
fof(f7823,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| equalish(X1,e_2)
| ~ product(X2,e_3,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f676,f127]) ).
fof(f7824,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f676,f125]) ).
fof(f7825,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,X1)
| ~ product(e_2,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f676,f125]) ).
fof(f7827,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| equalish(e_2,X1)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f676,f125]) ).
fof(f7829,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(X2,e_3,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f676,f125]) ).
fof(f7830,definition,
! [X0] :
( sQ281_spl
<=> ( ~ product(e_2,e_3,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f7831,plain,
! [X0] :
( ~ sQ281_spl
| ~ product(e_2,e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f7830]) ).
fof(f7833,plain,
( ~ sQ112_spl
| sQ182_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f7805,f7830,f1268,f675]) ).
fof(f7836,plain,
( ~ sQ112_spl
| sQ164_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f7809,f606,f966,f675]) ).
fof(f7837,plain,
( ~ sQ112_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f7812,f1272,f675]) ).
fof(f7838,plain,
( ~ sQ112_spl
| sQ164_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f7813,f7830,f966,f675]) ).
fof(f7840,plain,
( ~ sQ112_spl
| sQ164_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f7818,f3187,f966,f675]) ).
fof(f7843,plain,
( ~ sQ112_spl
| sQ170_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f7824,f3187,f1032,f675]) ).
fof(f7846,plain,
( ~ sQ114_spl
| ~ sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f2788]) ).
fof(f7847,plain,
! [X0,X1] :
( ~ sQ51_spl
| ~ sQ108_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f663,f4194]) ).
fof(f7848,plain,
! [X0,X1] :
( ~ sQ51_spl
| ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f663,f4192]) ).
fof(f7849,plain,
! [X0,X1] :
( ~ sQ51_spl
| ~ sQ108_spl
| equalish(e_2,X1)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f663,f4188]) ).
fof(f7850,plain,
! [X0,X1] :
( ~ sQ51_spl
| ~ sQ108_spl
| equalish(X1,e_2)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f663,f4186]) ).
fof(f7851,plain,
( ~ sQ259_spl
| ~ sQ108_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f663,f4200]) ).
fof(f7853,plain,
( ~ sQ51_spl
| ~ sQ108_spl
| equalish(e_4,e_4)
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f663,f4172]) ).
fof(f7854,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f663,f144]) ).
fof(f7855,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f663,f142]) ).
fof(f7856,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f663,f142]) ).
fof(f7859,plain,
( ~ sQ108_spl
| equalish(e_4,e_4)
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f663,f148]) ).
fof(f7861,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f663,f122]) ).
fof(f7862,plain,
( ~ sQ108_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f663,f146]) ).
fof(f7863,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,e_4)
| ~ product(e_2,e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f663,f136]) ).
fof(f7864,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f663,f136]) ).
fof(f7866,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f663,f120]) ).
fof(f7867,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f663,f118]) ).
fof(f7868,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,e_4)
| ~ product(e_2,e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f663,f127]) ).
fof(f7869,plain,
! [X0,X1,X2] :
( ~ sQ108_spl
| equalish(X1,e_4)
| ~ product(e_4,X0,X1)
| ~ product(e_2,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f663,f127]) ).
fof(f7871,plain,
! [X0,X1,X2] :
( ~ sQ108_spl
| equalish(e_4,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f663,f127]) ).
fof(f7873,plain,
! [X0,X1,X2] :
( ~ sQ108_spl
| equalish(X1,e_2)
| ~ product(X2,e_4,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f663,f127]) ).
fof(f7874,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f663,f125]) ).
fof(f7875,plain,
! [X0,X1,X2] :
( ~ sQ108_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,X1)
| ~ product(e_2,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f663,f125]) ).
fof(f7877,plain,
! [X0,X1,X2] :
( ~ sQ108_spl
| equalish(e_2,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f663,f125]) ).
fof(f7879,plain,
! [X0,X1,X2] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f663,f125]) ).
fof(f7881,plain,
( ~ sQ51_spl
| ~ sQ108_spl
| sQ158_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f7853,f476,f900,f662,f470]) ).
fof(f7882,definition,
! [X0] :
( sQ282_spl
<=> ( ~ product(e_2,e_4,X0)
| ~ product(e_4,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f7883,plain,
! [X0] :
( ~ sQ282_spl
| ~ product(e_2,e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(component_clause,[status(thm)],[f7882]) ).
fof(f7885,plain,
( ~ sQ108_spl
| sQ179_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f7855,f7882,f1210,f662]) ).
fof(f7888,plain,
( ~ sQ108_spl
| sQ158_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f7859,f524,f900,f662]) ).
fof(f7889,plain,
( ~ sQ108_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f7862,f1214,f662]) ).
fof(f7890,plain,
( ~ sQ108_spl
| sQ158_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f7863,f7882,f900,f662]) ).
fof(f7892,plain,
( ~ sQ108_spl
| sQ158_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f7868,f3141,f900,f662]) ).
fof(f7895,plain,
( ~ sQ108_spl
| sQ170_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f7874,f3141,f1032,f662]) ).
fof(f7898,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ83_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f578,f2572]) ).
fof(f7899,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ83_spl
| equalish(X1,e_4)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f578,f2566]) ).
fof(f7900,plain,
( ~ sQ60_spl
| ~ sQ83_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f578,f2557]) ).
fof(f7901,plain,
( ~ sQ60_spl
| ~ sQ83_spl
| equalish(e_4,e_3)
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f578,f2550]) ).
fof(f7902,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f578,f144]) ).
fof(f7903,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f578,f142]) ).
fof(f7904,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f578,f142]) ).
fof(f7907,plain,
( ~ sQ83_spl
| equalish(e_4,e_4)
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f578,f148]) ).
fof(f7909,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f578,f122]) ).
fof(f7910,plain,
( ~ sQ83_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f578,f146]) ).
fof(f7911,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,e_4)
| ~ product(e_3,e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f578,f136]) ).
fof(f7912,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f578,f136]) ).
fof(f7914,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f578,f120]) ).
fof(f7915,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f578,f118]) ).
fof(f7916,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,e_4)
| ~ product(e_3,e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f578,f127]) ).
fof(f7917,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| equalish(X1,e_4)
| ~ product(e_4,X0,X1)
| ~ product(e_3,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f578,f127]) ).
fof(f7919,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| equalish(e_4,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f578,f127]) ).
fof(f7921,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| equalish(X1,e_3)
| ~ product(X2,e_4,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f578,f127]) ).
fof(f7922,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f578,f125]) ).
fof(f7923,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,X1)
| ~ product(e_3,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f578,f125]) ).
fof(f7925,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| equalish(e_3,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f578,f125]) ).
fof(f7927,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f578,f125]) ).
fof(f7928,plain,
( ~ sQ60_spl
| ~ sQ83_spl
| sQ158_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f7900,f483,f900,f577,f499]) ).
fof(f7929,plain,
( ~ sQ60_spl
| ~ sQ83_spl
| sQ189_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f7901,f483,f1482,f577,f499]) ).
fof(f7930,definition,
! [X0] :
( sQ283_spl
<=> ( ~ product(e_3,e_4,X0)
| ~ product(e_4,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f7931,plain,
! [X0] :
( ~ sQ283_spl
| ~ product(e_3,e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(component_clause,[status(thm)],[f7930]) ).
fof(f7933,plain,
( ~ sQ83_spl
| sQ189_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f7903,f7930,f1482,f577]) ).
fof(f7936,plain,
( ~ sQ83_spl
| sQ158_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f7907,f508,f900,f577]) ).
fof(f7937,plain,
( ~ sQ83_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f7910,f1486,f577]) ).
fof(f7938,plain,
( ~ sQ83_spl
| sQ158_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f7911,f7930,f900,f577]) ).
fof(f7940,plain,
( ~ sQ83_spl
| sQ158_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f7916,f2668,f900,f577]) ).
fof(f7943,plain,
( ~ sQ83_spl
| sQ164_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f7922,f2668,f966,f577]) ).
fof(f7946,plain,
( ~ sQ80_spl
| ~ sQ205_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f569,f2046]) ).
fof(f7947,plain,
( ~ sQ80_spl
| ~ sQ205_spl ),
inference(contradiction_clause,[status(thm)],[f7946]) ).
fof(f7948,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ74_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f1915,f402]) ).
fof(f7950,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ74_spl
| equalish(e_5,X1)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f1911,f402]) ).
fof(f7951,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ74_spl
| equalish(X1,e_5)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f1909,f402]) ).
fof(f7952,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ104_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f650,f1377]) ).
fof(f7953,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ104_spl
| equalish(X1,e_5)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f650,f1371]) ).
fof(f7954,plain,
( ~ sQ40_spl
| ~ sQ104_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f650,f1362]) ).
fof(f7955,plain,
( ~ sQ40_spl
| ~ sQ104_spl
| equalish(e_5,e_2)
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f650,f1355]) ).
fof(f7956,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f650,f144]) ).
fof(f7957,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f650,f142]) ).
fof(f7958,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f650,f142]) ).
fof(f7961,plain,
( ~ sQ104_spl
| equalish(e_5,e_5)
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f650,f148]) ).
fof(f7963,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f650,f122]) ).
fof(f7964,plain,
( ~ sQ104_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f650,f146]) ).
fof(f7965,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_5,e_5)
| ~ product(e_2,e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f650,f136]) ).
fof(f7966,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,X0,e_5) ),
inference(resolution,[status(thm)],[f650,f136]) ).
fof(f7968,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f650,f120]) ).
fof(f7969,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f650,f118]) ).
fof(f7970,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_5,e_5)
| ~ product(e_2,e_5,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f650,f127]) ).
fof(f7971,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| equalish(X1,e_5)
| ~ product(e_5,X0,X1)
| ~ product(e_2,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f650,f127]) ).
fof(f7973,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| equalish(e_5,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f650,f127]) ).
fof(f7975,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| equalish(X1,e_2)
| ~ product(X2,e_5,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f650,f127]) ).
fof(f7976,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_5,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f650,f125]) ).
fof(f7977,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,X1)
| ~ product(e_2,e_5,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f650,f125]) ).
fof(f7979,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| equalish(e_2,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f650,f125]) ).
fof(f7981,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f650,f125]) ).
fof(f7982,plain,
( ~ sQ40_spl
| ~ sQ104_spl
| sQ125_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f7954,f382,f749,f649,f430]) ).
fof(f7983,plain,
( ~ sQ40_spl
| ~ sQ104_spl
| sQ176_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f7955,f382,f1153,f649,f430]) ).
fof(f7984,definition,
! [X0] :
( sQ284_spl
<=> ( ~ product(e_2,e_5,X0)
| ~ product(e_5,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f7985,plain,
! [X0] :
( ~ sQ284_spl
| ~ product(e_2,e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(component_clause,[status(thm)],[f7984]) ).
fof(f7987,plain,
( ~ sQ104_spl
| sQ176_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f7957,f7984,f1153,f649]) ).
fof(f7990,plain,
( ~ sQ104_spl
| sQ125_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f7961,f442,f749,f649]) ).
fof(f7991,plain,
( ~ sQ104_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f7964,f1036,f649]) ).
fof(f7992,plain,
( ~ sQ104_spl
| sQ125_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f7965,f7984,f749,f649]) ).
fof(f7994,plain,
( ~ sQ104_spl
| sQ125_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f7970,f3092,f749,f649]) ).
fof(f7997,plain,
( ~ sQ104_spl
| sQ170_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f7976,f3092,f1032,f649]) ).
fof(f8000,plain,
( ~ sQ100_spl
| ~ sQ169_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f638,f1047]) ).
fof(f8001,plain,
( ~ sQ100_spl
| ~ sQ169_spl ),
inference(contradiction_clause,[status(thm)],[f8000]) ).
fof(f8002,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1338,f193]) ).
fof(f8003,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1338,f196]) ).
fof(f8005,plain,
( ~ sQ3_spl
| equalish(e_0,e_3) ),
inference(resolution,[status(thm)],[f1338,f83]) ).
fof(f8006,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f8002,f958,f198,f192]) ).
fof(f8007,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f8003,f1272,f198,f195]) ).
fof(f8008,plain,
( ~ sQ123_spl
| ~ sQ269_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f5621,f711]) ).
fof(f8009,plain,
( ~ sQ31_spl
| ~ sQ74_spl
| equalish(e_5,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f1901,f402]) ).
fof(f8010,plain,
( ~ sQ31_spl
| ~ sQ74_spl
| sQ176_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f8009,f704,f1153,f543,f401]) ).
fof(f8012,plain,
( ~ sQ31_spl
| ~ sQ74_spl
| equalish(e_4,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f1895,f402]) ).
fof(f8013,plain,
( ~ sQ31_spl
| ~ sQ74_spl
| sQ179_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f8012,f704,f1210,f543,f401]) ).
fof(f8014,plain,
( ~ sQ231_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f2908,f123]) ).
fof(f8016,plain,
! [X0,X1] :
( ~ sQ8_spl
| equalish(e_3,X1)
| ~ next(X0,X1)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f322,f64]) ).
fof(f8017,plain,
! [X0] :
( ~ sQ138_spl
| ~ sQ8_spl
| equalish(e_5,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f357,f806]) ).
fof(f8018,plain,
( ~ sQ172_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f1088,f123]) ).
fof(f8019,plain,
( ~ sQ123_spl
| ~ sQ275_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f6377,f711]) ).
fof(f8022,plain,
( ~ sQ47_spl
| ~ sQ257_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f4050,f453]) ).
fof(f8023,plain,
( ~ sQ47_spl
| ~ sQ272_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f6015,f453]) ).
fof(f8112,plain,
( ~ sQ47_spl
| ~ sQ273_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f6143,f453]) ).
fof(f8113,plain,
( ~ sQ47_spl
| ~ sQ273_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f8112,f590,f6142,f452]) ).
fof(f8114,plain,
( ~ sQ47_spl
| ~ sQ245_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f3356,f453]) ).
fof(f8117,plain,
( ~ sQ94_spl
| ~ sQ276_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f6514,f613]) ).
fof(f8118,plain,
( ~ sQ147_spl
| ~ sQ277_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f6554,f835]) ).
fof(f8197,plain,
( ~ sQ214_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f2356,f123]) ).
fof(f8198,plain,
( ~ sQ220_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f2614,f123]) ).
fof(f8201,plain,
( ~ sQ191_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f1542,f123]) ).
fof(f8204,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ78_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f562,f2572]) ).
fof(f8205,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ78_spl
| equalish(X1,e_4)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f562,f2566]) ).
fof(f8206,plain,
( ~ sQ60_spl
| ~ sQ78_spl
| equalish(e_5,e_3)
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f562,f2550]) ).
fof(f8207,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f562,f144]) ).
fof(f8208,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_4,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f562,f142]) ).
fof(f8209,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f562,f142]) ).
fof(f8210,plain,
( ~ sQ78_spl
| equalish(e_3,e_5)
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f562,f167]) ).
fof(f8211,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f562,f140]) ).
fof(f8212,plain,
( ~ sQ78_spl
| equalish(e_4,e_5)
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f562,f148]) ).
fof(f8213,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f562,f138]) ).
fof(f8214,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f562,f122]) ).
fof(f8215,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_5,e_4)
| ~ product(e_3,e_4,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f562,f136]) ).
fof(f8216,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,X0,e_4) ),
inference(resolution,[status(thm)],[f562,f136]) ).
fof(f8217,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f562,f134]) ).
fof(f8218,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f562,f120]) ).
fof(f8219,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f562,f118]) ).
fof(f8220,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_4,e_4)
| ~ product(e_3,e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f562,f127]) ).
fof(f8221,plain,
! [X0,X1,X2] :
( ~ sQ78_spl
| equalish(X1,e_4)
| ~ product(e_5,X0,X1)
| ~ product(e_3,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f562,f127]) ).
fof(f8222,plain,
( ~ sQ78_spl
| equalish(e_4,e_3)
| ~ product(e_5,e_5,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f562,f127]) ).
fof(f8223,plain,
! [X0,X1,X2] :
( ~ sQ78_spl
| equalish(e_4,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f562,f127]) ).
fof(f8225,plain,
! [X0,X1,X2] :
( ~ sQ78_spl
| equalish(X1,e_3)
| ~ product(X2,e_5,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f562,f127]) ).
fof(f8226,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f562,f125]) ).
fof(f8227,plain,
! [X0,X1,X2] :
( ~ sQ78_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,X1)
| ~ product(e_3,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f562,f125]) ).
fof(f8228,plain,
( ~ sQ78_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_5,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f562,f125]) ).
fof(f8229,plain,
! [X0,X1,X2] :
( ~ sQ78_spl
| equalish(e_3,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f562,f125]) ).
fof(f8231,plain,
! [X0,X1,X2] :
( ~ sQ78_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f562,f125]) ).
fof(f8232,plain,
( ~ sQ60_spl
| ~ sQ78_spl
| sQ187_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f8206,f382,f1432,f561,f499]) ).
fof(f8233,definition,
! [X0] :
( sQ285_spl
<=> ( ~ product(e_3,e_4,X0)
| ~ product(e_5,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f8234,plain,
! [X0] :
( ~ sQ285_spl
| ~ product(e_3,e_4,X0)
| ~ product(e_5,e_5,X0) ),
inference(component_clause,[status(thm)],[f8233]) ).
fof(f8236,plain,
( ~ sQ78_spl
| sQ187_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f8208,f8233,f1432,f561]) ).
fof(f8237,plain,
( ~ sQ78_spl
| sQ165_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f8210,f511,f970,f561]) ).
fof(f8238,plain,
( ~ sQ78_spl
| sQ165_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f8211,f8233,f970,f561]) ).
fof(f8239,plain,
( ~ sQ78_spl
| sQ159_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f8212,f511,f904,f561]) ).
fof(f8240,plain,
( ~ sQ78_spl
| sQ195_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f8215,f8233,f1704,f561]) ).
fof(f8241,plain,
( ~ sQ78_spl
| sQ159_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f8217,f8233,f904,f561]) ).
fof(f8242,plain,
( ~ sQ78_spl
| sQ158_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f8220,f2668,f900,f561]) ).
fof(f8243,plain,
( ~ sQ78_spl
| sQ189_spl
| ~ sQ27_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f8222,f508,f388,f1482,f561]) ).
fof(f8245,plain,
( ~ sQ78_spl
| sQ164_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f8226,f2668,f966,f561]) ).
fof(f8246,plain,
( ~ sQ78_spl
| sQ165_spl
| ~ sQ27_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f8228,f508,f388,f970,f561]) ).
fof(f8248,plain,
( ~ sQ237_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f3133,f123]) ).
fof(f8330,plain,
( ~ sQ230_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f2868,f123]) ).
fof(f8336,plain,
( ~ sQ11_spl
| ~ sQ140_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f5585,f63]) ).
fof(f8337,plain,
( ~ sQ11_spl
| ~ sQ140_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f8336,f1214,f812,f224]) ).
fof(f8338,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f372,f1214,f233,f227]) ).
fof(f8345,plain,
( ~ sQ188_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f1477,f123]) ).
fof(f8352,plain,
( ~ sQ107_spl
| ~ sQ94_spl
| equalish(e_4,e_2)
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f2844,f660]) ).
fof(f8353,plain,
( ~ sQ107_spl
| ~ sQ94_spl
| sQ179_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f8352,f495,f1210,f612,f659]) ).
fof(f8354,plain,
( ~ sQ16_spl
| ~ sQ147_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f5830,f62]) ).
fof(f8355,plain,
( ~ sQ16_spl
| ~ sQ147_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f8354,f1482,f834,f240]) ).
fof(f8356,plain,
( ~ sQ17_spl
| ~ sQ19_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f352,f1214,f249,f243]) ).
fof(f8357,plain,
! [X0,X1] :
( ~ sQ17_spl
| equalish(X0,X1)
| ~ next(e_2,X1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f244,f279]) ).
fof(f8361,plain,
( ~ sQ215_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f2396,f123]) ).
fof(f8362,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ94_spl
| equalish(X1,e_3)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f2860,f660]) ).
fof(f8365,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f2866,f660]) ).
fof(f8368,plain,
( ~ sQ13_spl
| ~ sQ10_spl
| equalish(e_3,e_0) ),
inference(resolution,[status(thm)],[f307,f231]) ).
fof(f8370,plain,
( ~ sQ140_spl
| ~ sQ10_spl
| ~ greater(e_2,e_3) ),
inference(resolution,[status(thm)],[f305,f813]) ).
fof(f8371,plain,
! [X0,X1] :
( ~ sQ13_spl
| equalish(e_3,X1)
| ~ next(X0,X1)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f323,f63]) ).
fof(f8374,plain,
( ~ sQ140_spl
| ~ sQ247_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f3404,f813]) ).
fof(f8382,plain,
! [X0] :
( ~ sQ140_spl
| ~ sQ13_spl
| equalish(e_2,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f358,f813]) ).
fof(f8383,plain,
! [X0,X1] :
( ~ sQ17_spl
| equalish(e_2,X1)
| ~ next(X0,X1)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f328,f62]) ).
fof(f8384,plain,
! [X0] :
( ~ sQ147_spl
| ~ sQ17_spl
| equalish(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f8357,f835]) ).
fof(f8385,plain,
( ~ sQ213_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f2314,f123]) ).
fof(f8392,plain,
( ~ sQ123_spl
| ~ sQ67_spl
| equalish(e_1,e_2)
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f2247,f711]) ).
fof(f8393,plain,
( ~ sQ123_spl
| ~ sQ67_spl
| sQ168_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f8392,f847,f1024,f521,f710]) ).
fof(f8394,plain,
( ~ sQ140_spl
| ~ sQ13_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f8382,f63]) ).
fof(f8395,plain,
( ~ sQ140_spl
| ~ sQ13_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f8394,f1214,f230,f812]) ).
fof(f8396,plain,
( ~ sQ147_spl
| ~ sQ17_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f8384,f62]) ).
fof(f8397,plain,
( ~ sQ147_spl
| ~ sQ17_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f8396,f1482,f243,f834]) ).
fof(f8398,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f353,f1486,f249,f246]) ).
fof(f8402,plain,
( ~ sQ96_spl
| ~ sQ260_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f4251,f620]) ).
fof(f8403,plain,
! [X0,X1] :
( ~ sQ123_spl
| ~ sQ67_spl
| equalish(X1,e_4)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f2263,f711]) ).
fof(f8406,plain,
! [X0,X1] :
( ~ sQ123_spl
| ~ sQ67_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f2269,f711]) ).
fof(f8407,plain,
( ~ sQ80_spl
| ~ sQ140_spl
| equalish(e_4,e_3)
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f5594,f569]) ).
fof(f8408,plain,
( ~ sQ80_spl
| ~ sQ140_spl
| sQ189_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f8407,f486,f1482,f812,f568]) ).
fof(f8412,plain,
! [X0,X1] :
( ~ sQ19_spl
| equalish(e_4,X1)
| ~ next(X0,X1)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f319,f62]) ).
fof(f8413,plain,
! [X0] :
( ~ sQ147_spl
| ~ sQ19_spl
| equalish(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f348,f835]) ).
fof(f8414,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ greater(X0,X1)
| ~ cycle(e_2,X1)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f1057,f65]) ).
fof(f8415,plain,
( ~ sQ96_spl
| ~ sQ267_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f5469,f620]) ).
fof(f8416,plain,
( ~ sQ80_spl
| ~ sQ140_spl
| equalish(e_4,e_1)
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f5601,f569]) ).
fof(f8417,plain,
( ~ sQ80_spl
| ~ sQ140_spl
| sQ155_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f8416,f486,f888,f812,f568]) ).
fof(f8420,plain,
! [X0,X1] :
( ~ sQ80_spl
| ~ sQ140_spl
| equalish(X1,e_1)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f5610,f569]) ).
fof(f8421,plain,
! [X0,X1] :
( ~ sQ80_spl
| ~ sQ140_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f5616,f569]) ).
fof(f8422,plain,
( ~ sQ147_spl
| ~ sQ19_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f8413,f62]) ).
fof(f8423,plain,
( ~ sQ147_spl
| ~ sQ19_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f8422,f1482,f249,f834]) ).
fof(f8427,plain,
! [X0] :
( ~ sQ147_spl
| ~ sQ18_spl
| equalish(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f359,f835]) ).
fof(f8428,plain,
! [X0,X1] :
( ~ sQ18_spl
| equalish(e_3,X1)
| ~ next(X0,X1)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f324,f62]) ).
fof(f8430,plain,
( ~ sQ96_spl
| ~ sQ255_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f3990,f620]) ).
fof(f8431,plain,
( ~ sQ96_spl
| ~ sQ255_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f8430,f688,f3989,f619]) ).
fof(f8432,plain,
! [X0,X1] :
( ~ sQ123_spl
| ~ sQ140_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f5614,f711]) ).
fof(f8435,plain,
! [X0,X1] :
( ~ sQ123_spl
| ~ sQ140_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f5612,f711]) ).
fof(f8436,plain,
! [X0,X1] :
( ~ sQ123_spl
| ~ sQ140_spl
| equalish(e_2,X1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f5608,f711]) ).
fof(f8437,plain,
( ~ sQ147_spl
| ~ sQ18_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f8427,f62]) ).
fof(f8438,plain,
( ~ sQ147_spl
| ~ sQ18_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f8437,f1482,f246,f834]) ).
fof(f8439,plain,
( ~ sQ148_spl
| ~ sQ244_spl ),
inference(contradiction_clause,[status(thm)],[f3305]) ).
fof(f8440,plain,
( ~ sQ71_spl
| ~ sQ254_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f535,f4010]) ).
fof(f8441,plain,
( ~ sQ110_spl
| ~ sQ227_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f670,f2789]) ).
fof(f8442,plain,
( ~ sQ71_spl
| ~ sQ254_spl ),
inference(contradiction_clause,[status(thm)],[f8440]) ).
fof(f8443,plain,
( ~ sQ110_spl
| ~ sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f8441]) ).
fof(f8447,plain,
( ~ sQ274_spl
| ~ sQ32_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f405,f6228]) ).
fof(f8448,plain,
( ~ sQ107_spl
| ~ sQ32_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f405,f6499]) ).
fof(f8449,plain,
( ~ sQ47_spl
| ~ sQ32_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f405,f930]) ).
fof(f8475,plain,
( ~ sQ107_spl
| ~ sQ32_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f8448,f1153,f404,f659]) ).
fof(f8476,plain,
( ~ sQ47_spl
| ~ sQ32_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f8449,f888,f404,f452]) ).
fof(f8489,plain,
( ~ sQ84_spl
| ~ sQ205_spl ),
inference(contradiction_clause,[status(thm)],[f2045]) ).
fof(f8490,plain,
( ~ sQ105_spl
| ~ sQ207_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f654,f2096]) ).
fof(f8491,plain,
( ~ sQ75_spl
| ~ sQ163_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f553,f981]) ).
fof(f8492,plain,
( ~ sQ142_spl
| ~ sQ229_spl ),
inference(contradiction_clause,[status(thm)],[f2838]) ).
fof(f8493,definition,
! [X0] :
( sQ286_spl
<=> ( ~ product(e_1,e_4,X0)
| ~ product(e_3,e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f8494,plain,
! [X0] :
( ~ sQ286_spl
| ~ product(e_1,e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(component_clause,[status(thm)],[f8493]) ).
fof(f8496,plain,
( ~ sQ142_spl
| sQ161_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f3869,f8493,f954,f818]) ).
fof(f8497,plain,
( ~ sQ142_spl
| sQ162_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f3871,f537,f958,f818]) ).
fof(f8498,plain,
( ~ sQ142_spl
| sQ162_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f3872,f8493,f958,f818]) ).
fof(f8499,plain,
( ~ sQ142_spl
| sQ189_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f3873,f537,f1482,f818]) ).
fof(f8500,plain,
( ~ sQ142_spl
| sQ190_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f3876,f8493,f1486,f818]) ).
fof(f8501,plain,
( ~ sQ142_spl
| sQ189_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f3878,f8493,f1482,f818]) ).
fof(f8502,plain,
( ~ sQ142_spl
| sQ158_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f3881,f3978,f900,f818]) ).
fof(f8503,plain,
( ~ sQ142_spl
| sQ155_spl
| ~ sQ85_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f3883,f540,f584,f888,f818]) ).
fof(f8505,plain,
( ~ sQ142_spl
| sQ173_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f3887,f3978,f1093,f818]) ).
fof(f8506,plain,
( ~ sQ142_spl
| sQ162_spl
| ~ sQ85_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f3889,f540,f584,f958,f818]) ).
fof(f8508,plain,
( ~ sQ105_spl
| ~ sQ207_spl ),
inference(contradiction_clause,[status(thm)],[f8490]) ).
fof(f8509,plain,
( ~ sQ75_spl
| ~ sQ163_spl ),
inference(contradiction_clause,[status(thm)],[f8491]) ).
fof(f8518,plain,
! [X0,X1] :
( ~ sQ67_spl
| ~ sQ103_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f647,f2269]) ).
fof(f8519,plain,
! [X0,X1] :
( ~ sQ67_spl
| ~ sQ103_spl
| equalish(X1,e_4)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f647,f2263]) ).
fof(f8520,plain,
( ~ sQ67_spl
| ~ sQ103_spl
| equalish(e_5,e_2)
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f647,f2247]) ).
fof(f8546,plain,
( ~ sQ67_spl
| ~ sQ103_spl
| sQ176_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f8520,f388,f1153,f646,f521]) ).
fof(f8559,plain,
( ~ sQ67_spl
| ~ sQ282_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f7883,f522]) ).
fof(f8562,plain,
( ~ sQ103_spl
| ~ sQ67_spl
| equalish(e_5,e_4)
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f2254,f647]) ).
fof(f8563,plain,
( ~ sQ103_spl
| ~ sQ67_spl
| sQ195_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f8562,f388,f1704,f521,f646]) ).
fof(f8564,plain,
( ~ sQ60_spl
| ~ sQ283_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f7931,f500]) ).
fof(f8565,plain,
( ~ sQ262_spl
| ~ sQ148_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f838,f4346]) ).
fof(f8566,plain,
( ~ sQ277_spl
| ~ sQ148_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f838,f6554]) ).
fof(f8592,plain,
( ~ sQ277_spl
| ~ sQ148_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f8566,f394,f837,f6553]) ).
fof(f8607,plain,
( ~ sQ148_spl
| ~ sQ15_spl
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f298,f838]) ).
fof(f8608,plain,
( ~ sQ148_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8607,f76]) ).
fof(f8609,plain,
( ~ sQ148_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f8608]) ).
fof(f8610,plain,
( ~ sQ217_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f2492,f123]) ).
fof(f8617,plain,
( ~ sQ40_spl
| ~ sQ284_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f7985,f431]) ).
fof(f8658,plain,
( ~ sQ269_spl
| ~ sQ122_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f708,f5621]) ).
fof(f8684,plain,
( ~ sQ269_spl
| ~ sQ122_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f8658,f590,f707,f5620]) ).
fof(f8697,plain,
( ~ sQ184_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f1316,f123]) ).
fof(f8789,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ135_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f797,f2570]) ).
fof(f8790,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ135_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f797,f2568]) ).
fof(f8791,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ135_spl
| equalish(e_1,X1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f797,f2564]) ).
fof(f8792,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ135_spl
| equalish(X1,e_1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f797,f2562]) ).
fof(f8793,plain,
( ~ sQ60_spl
| ~ sQ135_spl
| equalish(e_1,e_2)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f797,f2554]) ).
fof(f8794,plain,
( ~ sQ60_spl
| ~ sQ135_spl
| equalish(e_4,e_2)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f797,f2548]) ).
fof(f8820,plain,
( ~ sQ60_spl
| ~ sQ135_spl
| sQ168_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f8793,f672,f1024,f796,f499]) ).
fof(f8821,plain,
( ~ sQ60_spl
| ~ sQ135_spl
| sQ179_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f8794,f672,f1210,f796,f499]) ).
fof(f8834,plain,
( ~ sQ192_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f1586,f123]) ).
fof(f8835,plain,
( ~ sQ60_spl
| ~ sQ285_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f8234,f500]) ).
fof(f8841,plain,
( ~ sQ279_spl
| ~ sQ36_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f418,f7243]) ).
fof(f8879,plain,
( ~ sQ265_spl
| ~ sQ96_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f620,f4902]) ).
fof(f8880,plain,
( ~ sQ267_spl
| ~ sQ96_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f620,f5469]) ).
fof(f8881,plain,
( ~ sQ260_spl
| ~ sQ96_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f620,f4251]) ).
fof(f8919,plain,
( ~ sQ148_spl
| ~ sQ261_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f4293,f838]) ).
fof(f8925,plain,
( ~ sQ67_spl
| ~ sQ103_spl
| equalish(e_2,e_3)
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f4729,f522]) ).
fof(f8926,plain,
( ~ sQ67_spl
| ~ sQ103_spl
| sQ183_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f8925,f558,f1272,f646,f521]) ).
fof(f8927,plain,
( ~ sQ245_spl
| ~ sQ48_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f456,f3356]) ).
fof(f8928,plain,
( ~ sQ272_spl
| ~ sQ48_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f456,f6015]) ).
fof(f8929,plain,
( ~ sQ257_spl
| ~ sQ48_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f456,f4050]) ).
fof(f8930,plain,
! [X0,X1] :
( ~ sQ51_spl
| ~ sQ48_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f456,f4196]) ).
fof(f8931,plain,
! [X0,X1] :
( ~ sQ51_spl
| ~ sQ48_spl
| equalish(X1,e_4)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f456,f4190]) ).
fof(f8932,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| equalish(e_1,e_4)
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f456,f4181]) ).
fof(f8933,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| equalish(e_1,e_5)
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f456,f4174]) ).
fof(f8959,plain,
( ~ sQ272_spl
| ~ sQ48_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f8928,f492,f455,f6014]) ).
fof(f8960,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| sQ156_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f8932,f844,f892,f455,f470]) ).
fof(f8961,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| sQ127_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f8933,f844,f757,f455,f470]) ).
fof(f8974,plain,
( ~ sQ113_spl
| ~ sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f2787]) ).
fof(f8975,plain,
( ~ sQ43_spl
| ~ sQ236_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f440,f3101]) ).
fof(f8976,plain,
( ~ sQ52_spl
| ~ sQ157_spl ),
inference(contradiction_clause,[status(thm)],[f913]) ).
fof(f8977,plain,
( ~ sQ124_spl
| ~ sQ270_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f714,f5639]) ).
fof(f8978,plain,
( ~ sQ43_spl
| ~ sQ236_spl ),
inference(contradiction_clause,[status(thm)],[f8975]) ).
fof(f8979,plain,
( ~ sQ124_spl
| ~ sQ270_spl ),
inference(contradiction_clause,[status(thm)],[f8977]) ).
fof(f9022,plain,
( ~ sQ210_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f2175,f123]) ).
fof(f9064,plain,
( ~ sQ166_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f1015,f123]) ).
fof(f9067,plain,
( ~ sQ245_spl
| ~ sQ46_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f450,f3356]) ).
fof(f9068,plain,
( ~ sQ272_spl
| ~ sQ46_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f450,f6015]) ).
fof(f9071,plain,
( ~ sQ103_spl
| ~ sQ46_spl
| equalish(e_1,e_2)
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f450,f4738]) ).
fof(f9072,plain,
( ~ sQ103_spl
| ~ sQ46_spl
| equalish(e_1,e_5)
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f450,f4731]) ).
fof(f9098,plain,
( ~ sQ103_spl
| ~ sQ46_spl
| sQ168_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f9071,f850,f1024,f449,f646]) ).
fof(f9099,plain,
( ~ sQ103_spl
| ~ sQ46_spl
| sQ127_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f9072,f850,f757,f449,f646]) ).
fof(f9116,plain,
( ~ sQ233_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f3001,f123]) ).
fof(f9118,plain,
( ~ sQ267_spl
| ~ sQ98_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f626,f5469]) ).
fof(f9156,plain,
( ~ sQ285_spl
| ~ sQ61_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f503,f8234]) ).
fof(f9157,plain,
( ~ sQ283_spl
| ~ sQ61_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f503,f7931]) ).
fof(f9196,plain,
( ~ sQ276_spl
| ~ sQ94_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f613,f6514]) ).
fof(f9197,plain,
( ~ sQ84_spl
| ~ sQ94_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f613,f3521]) ).
fof(f9223,plain,
( ~ sQ84_spl
| ~ sQ94_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f9197,f1214,f612,f580]) ).
fof(f9236,plain,
( ~ sQ239_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f7013,f600,f3178]) ).
fof(f9239,plain,
( ~ sQ61_spl
| ~ sQ105_spl
| equalish(e_3,e_4)
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f4268,f503]) ).
fof(f9240,plain,
( ~ sQ61_spl
| ~ sQ105_spl
| sQ190_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f9239,f584,f1486,f653,f502]) ).
fof(f9241,plain,
( ~ sQ105_spl
| ~ sQ146_spl
| equalish(e_1,e_3)
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f832,f4272]) ).
fof(f9242,plain,
( ~ sQ105_spl
| ~ sQ146_spl
| equalish(e_2,e_3)
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f832,f4266]) ).
fof(f9243,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ146_spl
| equalish(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f832,f8357]) ).
fof(f9244,plain,
( ~ sQ261_spl
| ~ sQ146_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f832,f4293]) ).
fof(f9270,plain,
( ~ sQ105_spl
| ~ sQ146_spl
| sQ162_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f9241,f574,f958,f831,f653]) ).
fof(f9271,plain,
( ~ sQ105_spl
| ~ sQ146_spl
| sQ183_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f9242,f574,f1272,f831,f653]) ).
fof(f9284,plain,
( ~ sQ84_spl
| ~ sQ138_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f806,f3525]) ).
fof(f9310,plain,
( ~ sQ84_spl
| ~ sQ138_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f9284,f958,f805,f580]) ).
fof(f9323,plain,
( ~ sQ226_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f2769,f123]) ).
fof(f9324,plain,
( ~ sQ61_spl
| ~ sQ105_spl
| equalish(e_3,e_2)
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f4275,f503]) ).
fof(f9325,plain,
( ~ sQ61_spl
| ~ sQ105_spl
| sQ182_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f9324,f584,f1268,f653,f502]) ).
fof(f9328,plain,
! [X0,X1] :
( ~ sQ146_spl
| ~ sQ105_spl
| equalish(X1,e_1)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f4280,f832]) ).
fof(f9329,plain,
! [X0,X1] :
( ~ sQ146_spl
| ~ sQ105_spl
| equalish(e_1,X1)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f4282,f832]) ).
fof(f9330,plain,
! [X0,X1] :
( ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f516,f4751]) ).
fof(f9331,plain,
! [X0,X1] :
( ~ sQ103_spl
| ~ sQ65_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f516,f4749]) ).
fof(f9332,plain,
! [X0,X1] :
( ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_4,X1)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f516,f4745]) ).
fof(f9333,plain,
! [X0,X1] :
( ~ sQ103_spl
| ~ sQ65_spl
| equalish(X1,e_4)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f516,f4743]) ).
fof(f9334,plain,
( ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_4,e_1)
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f516,f4735]) ).
fof(f9335,plain,
( ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_2,e_1)
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f516,f4729]) ).
fof(f9336,plain,
( ~ sQ282_spl
| ~ sQ65_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f516,f7883]) ).
fof(f9337,plain,
( ~ sQ264_spl
| ~ sQ65_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f516,f4757]) ).
fof(f9363,plain,
( ~ sQ103_spl
| ~ sQ65_spl
| sQ155_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f9334,f777,f888,f515,f646]) ).
fof(f9364,plain,
( ~ sQ103_spl
| ~ sQ65_spl
| sQ167_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f9335,f777,f1020,f515,f646]) ).
fof(f9415,plain,
( ~ sQ249_spl
| ~ sQ35_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f415,f3543]) ).
fof(f9416,plain,
( ~ sQ279_spl
| ~ sQ35_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f415,f7243]) ).
fof(f9491,plain,
( ~ sQ234_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f3043,f123]) ).
fof(f9492,plain,
! [X0,X1] :
( ~ sQ61_spl
| ~ sQ105_spl
| equalish(X1,e_2)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f4284,f503]) ).
fof(f9495,plain,
! [X0,X1] :
( ~ sQ146_spl
| ~ sQ105_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f4286,f832]) ).
fof(f9496,plain,
! [X0,X1] :
( ~ sQ146_spl
| ~ sQ105_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f4288,f832]) ).
fof(f9497,plain,
( ~ sQ103_spl
| ~ sQ113_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f679,f4736]) ).
fof(f9523,plain,
( ~ sQ103_spl
| ~ sQ113_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f9497,f970,f678,f646]) ).
fof(f9536,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f474,f144]) ).
fof(f9537,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_3,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f474,f142]) ).
fof(f9538,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f474,f142]) ).
fof(f9539,plain,
( ~ sQ52_spl
| equalish(e_4,e_5)
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f474,f167]) ).
fof(f9540,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f474,f140]) ).
fof(f9541,plain,
( ~ sQ52_spl
| equalish(e_3,e_5)
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f474,f148]) ).
fof(f9542,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f474,f138]) ).
fof(f9543,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f474,f122]) ).
fof(f9544,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_5,e_3)
| ~ product(e_4,e_3,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f474,f136]) ).
fof(f9545,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,X0,e_3) ),
inference(resolution,[status(thm)],[f474,f136]) ).
fof(f9546,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f474,f134]) ).
fof(f9547,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f474,f120]) ).
fof(f9548,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f474,f118]) ).
fof(f9549,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,e_3)
| ~ product(e_4,e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f474,f127]) ).
fof(f9550,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| equalish(X1,e_3)
| ~ product(e_5,X0,X1)
| ~ product(e_4,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f474,f127]) ).
fof(f9551,plain,
( ~ sQ52_spl
| equalish(e_3,e_4)
| ~ product(e_5,e_5,e_4)
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f474,f127]) ).
fof(f9552,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| equalish(e_3,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f474,f127]) ).
fof(f9554,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| equalish(X1,e_4)
| ~ product(X2,e_5,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f474,f127]) ).
fof(f9555,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f474,f125]) ).
fof(f9556,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,X1)
| ~ product(e_4,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f474,f125]) ).
fof(f9557,plain,
( ~ sQ52_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_5,e_4)
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f474,f125]) ).
fof(f9558,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| equalish(e_4,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f474,f125]) ).
fof(f9560,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_4)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f474,f125]) ).
fof(f9561,definition,
! [X0] :
( sQ287_spl
<=> ( ~ product(e_4,e_3,X0)
| ~ product(e_5,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f9562,plain,
! [X0] :
( ~ sQ287_spl
| ~ product(e_4,e_3,X0)
| ~ product(e_5,e_5,X0) ),
inference(component_clause,[status(thm)],[f9561]) ).
fof(f9564,plain,
( ~ sQ52_spl
| sQ195_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f9537,f9561,f1704,f473]) ).
fof(f9565,plain,
( ~ sQ52_spl
| sQ159_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f9539,f580,f904,f473]) ).
fof(f9566,plain,
( ~ sQ52_spl
| sQ159_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f9540,f9561,f904,f473]) ).
fof(f9567,plain,
( ~ sQ52_spl
| sQ165_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f9541,f580,f970,f473]) ).
fof(f9568,plain,
( ~ sQ52_spl
| sQ187_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f9544,f9561,f1432,f473]) ).
fof(f9569,plain,
( ~ sQ52_spl
| sQ165_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f9546,f9561,f970,f473]) ).
fof(f9570,plain,
( ~ sQ52_spl
| sQ164_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f9549,f2034,f966,f473]) ).
fof(f9571,plain,
( ~ sQ52_spl
| sQ190_spl
| ~ sQ28_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f9551,f574,f391,f1486,f473]) ).
fof(f9573,plain,
( ~ sQ52_spl
| sQ158_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f9555,f2034,f900,f473]) ).
fof(f9574,plain,
( ~ sQ52_spl
| sQ159_spl
| ~ sQ28_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f9557,f574,f391,f904,f473]) ).
fof(f9576,plain,
( ~ sQ46_spl
| ~ sQ273_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f6143,f450]) ).
fof(f9577,plain,
! [X0,X1] :
( ~ sQ61_spl
| ~ sQ105_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f4290,f503]) ).
fof(f9580,plain,
( ~ sQ228_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f2818,f123]) ).
fof(f9581,plain,
( ~ sQ143_spl
| ~ sQ266_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f4988,f822]) ).
fof(f9585,plain,
( ~ sQ218_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f2533,f123]) ).
fof(f9588,plain,
( ~ sQ213_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f2314,f123]) ).
fof(f9589,plain,
( ~ sQ105_spl
| ~ sQ259_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f4200,f654]) ).
fof(f9627,plain,
( ~ sQ191_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f1542,f123]) ).
fof(f9628,plain,
( ~ sQ197_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f1791,f123]) ).
fof(f9630,plain,
( ~ sQ143_spl
| ~ sQ138_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f4839,f822]) ).
fof(f9632,plain,
( ~ sQ143_spl
| ~ sQ138_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f9630,f1486,f805,f821]) ).
fof(f9672,plain,
( ~ sQ286_spl
| ~ sQ74_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f544,f8494]) ).
fof(f9673,plain,
( ~ sQ278_spl
| ~ sQ74_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f544,f7197]) ).
fof(f9674,plain,
( ~ sQ280_spl
| ~ sQ74_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f544,f7790]) ).
fof(f9675,plain,
( ~ sQ253_spl
| ~ sQ74_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f544,f3970]) ).
fof(f9705,plain,
( ~ sQ280_spl
| ~ sQ74_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f9674,f394,f543,f7789]) ).
fof(f9720,plain,
( ~ sQ98_spl
| ~ sQ255_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f3990,f626]) ).
fof(f9727,plain,
( ~ sQ130_spl
| ~ greater(e_2,e_5) ),
inference(resolution,[status(thm)],[f781,f275]) ).
fof(f9728,plain,
! [X0] :
( ~ sQ130_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f781,f144]) ).
fof(f9729,plain,
! [X0] :
( ~ sQ130_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f781,f142]) ).
fof(f9730,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f781,f142]) ).
fof(f9731,plain,
( ~ sQ130_spl
| equalish(e_1,e_5)
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f781,f167]) ).
fof(f9732,plain,
! [X0] :
( ~ sQ130_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f781,f140]) ).
fof(f9733,plain,
( ~ sQ130_spl
| equalish(e_2,e_5)
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f781,f148]) ).
fof(f9734,plain,
! [X0] :
( ~ sQ130_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f781,f138]) ).
fof(f9735,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f781,f122]) ).
fof(f9736,plain,
! [X0] :
( ~ sQ130_spl
| equalish(e_5,e_2)
| ~ product(e_1,e_2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f781,f136]) ).
fof(f9737,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f781,f136]) ).
fof(f9738,plain,
! [X0] :
( ~ sQ130_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_5,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f781,f134]) ).
fof(f9739,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f781,f120]) ).
fof(f9740,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_2)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f781,f118]) ).
fof(f9741,plain,
! [X0] :
( ~ sQ130_spl
| equalish(e_2,e_2)
| ~ product(e_1,e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f781,f127]) ).
fof(f9742,plain,
! [X0,X1,X2] :
( ~ sQ130_spl
| equalish(X1,e_2)
| ~ product(e_5,X0,X1)
| ~ product(e_1,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f781,f127]) ).
fof(f9743,plain,
( ~ sQ130_spl
| equalish(e_2,e_1)
| ~ product(e_5,e_5,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f781,f127]) ).
fof(f9744,plain,
! [X0,X1,X2] :
( ~ sQ130_spl
| equalish(e_2,X2)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f781,f127]) ).
fof(f9746,plain,
! [X0,X1,X2] :
( ~ sQ130_spl
| equalish(X1,e_1)
| ~ product(X2,e_5,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f781,f127]) ).
fof(f9747,plain,
! [X0] :
( ~ sQ130_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f781,f125]) ).
fof(f9748,plain,
! [X0,X1,X2] :
( ~ sQ130_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,X1)
| ~ product(e_1,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f781,f125]) ).
fof(f9749,plain,
( ~ sQ130_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_5,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f781,f125]) ).
fof(f9750,plain,
! [X0,X1,X2] :
( ~ sQ130_spl
| equalish(e_1,X1)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f781,f125]) ).
fof(f9752,plain,
! [X0,X1,X2] :
( ~ sQ130_spl
| equalish(X0,e_5)
| ~ product(X2,e_5,e_1)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f781,f125]) ).
fof(f9753,definition,
! [X0] :
( sQ288_spl
<=> ( ~ product(e_1,e_2,X0)
| ~ product(e_5,e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f9754,plain,
! [X0] :
( ~ sQ288_spl
| ~ product(e_1,e_2,X0)
| ~ product(e_5,e_5,X0) ),
inference(component_clause,[status(thm)],[f9753]) ).
fof(f9756,plain,
( ~ sQ130_spl
| sQ128_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f9729,f9753,f761,f780]) ).
fof(f9757,plain,
( ~ sQ130_spl
| sQ127_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f9731,f713,f757,f780]) ).
fof(f9758,plain,
( ~ sQ130_spl
| sQ127_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f9732,f9753,f757,f780]) ).
fof(f9759,plain,
( ~ sQ130_spl
| sQ171_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f9733,f713,f1036,f780]) ).
fof(f9760,plain,
( ~ sQ130_spl
| sQ176_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f9736,f9753,f1153,f780]) ).
fof(f9761,plain,
( ~ sQ130_spl
| sQ171_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f9738,f9753,f1036,f780]) ).
fof(f9762,plain,
( ~ sQ130_spl
| sQ170_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f9741,f5629,f1032,f780]) ).
fof(f9763,plain,
( ~ sQ130_spl
| sQ167_spl
| ~ sQ25_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f9743,f704,f382,f1020,f780]) ).
fof(f9765,plain,
( ~ sQ130_spl
| sQ173_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f9747,f5629,f1093,f780]) ).
fof(f9766,plain,
( ~ sQ130_spl
| sQ127_spl
| ~ sQ25_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f9749,f704,f382,f757,f780]) ).
fof(f9768,plain,
( ~ sQ266_spl
| ~ sQ142_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f819,f4988]) ).
fof(f9769,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ142_spl
| equalish(e_4,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f819,f368]) ).
fof(f9795,plain,
( ~ sQ266_spl
| ~ sQ142_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f9768,f492,f818,f4987]) ).
fof(f9808,plain,
( ~ sQ214_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f2356,f123]) ).
fof(f9814,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f572,f144]) ).
fof(f9815,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f572,f142]) ).
fof(f9816,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f572,f142]) ).
fof(f9817,plain,
( ~ sQ81_spl
| equalish(e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f572,f167]) ).
fof(f9818,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f572,f140]) ).
fof(f9819,plain,
( ~ sQ81_spl
| equalish(e_2,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f572,f148]) ).
fof(f9820,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f572,f138]) ).
fof(f9821,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f572,f122]) ).
fof(f9822,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_4,e_2)
| ~ product(e_3,e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f572,f136]) ).
fof(f9823,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f572,f136]) ).
fof(f9824,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f572,f134]) ).
fof(f9825,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f572,f120]) ).
fof(f9826,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f572,f118]) ).
fof(f9827,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,e_2)
| ~ product(e_3,e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f572,f127]) ).
fof(f9828,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| equalish(X1,e_2)
| ~ product(e_4,X0,X1)
| ~ product(e_3,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f572,f127]) ).
fof(f9829,plain,
( ~ sQ81_spl
| equalish(e_2,e_3)
| ~ product(e_4,e_4,e_3)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f572,f127]) ).
fof(f9830,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| equalish(e_2,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f572,f127]) ).
fof(f9832,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| equalish(X1,e_3)
| ~ product(X2,e_4,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f572,f127]) ).
fof(f9833,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f572,f125]) ).
fof(f9834,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,X1)
| ~ product(e_3,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f572,f125]) ).
fof(f9835,plain,
( ~ sQ81_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_4,e_3)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f572,f125]) ).
fof(f9836,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| equalish(e_3,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f572,f125]) ).
fof(f9838,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_3)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f572,f125]) ).
fof(f9839,definition,
! [X0] :
( sQ289_spl
<=> ( ~ product(e_3,e_2,X0)
| ~ product(e_4,e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f9840,plain,
! [X0] :
( ~ sQ289_spl
| ~ product(e_3,e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(component_clause,[status(thm)],[f9839]) ).
fof(f9842,plain,
( ~ sQ81_spl
| sQ189_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f9815,f9839,f1482,f571]) ).
fof(f9843,plain,
( ~ sQ81_spl
| sQ190_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f9817,f678,f1486,f571]) ).
fof(f9844,plain,
( ~ sQ81_spl
| sQ190_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f9818,f9839,f1486,f571]) ).
fof(f9845,plain,
( ~ sQ81_spl
| sQ180_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f9819,f678,f1214,f571]) ).
fof(f9846,plain,
( ~ sQ81_spl
| sQ179_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f9822,f9839,f1210,f571]) ).
fof(f9847,plain,
( ~ sQ81_spl
| sQ180_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f9824,f9839,f1214,f571]) ).
fof(f9848,plain,
( ~ sQ81_spl
| sQ170_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f9827,f2777,f1032,f571]) ).
fof(f9849,plain,
( ~ sQ81_spl
| sQ183_spl
| ~ sQ57_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f9829,f672,f489,f1272,f571]) ).
fof(f9851,plain,
( ~ sQ81_spl
| sQ164_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f9833,f2777,f966,f571]) ).
fof(f9852,plain,
( ~ sQ81_spl
| sQ190_spl
| ~ sQ57_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f9835,f672,f489,f1486,f571]) ).
fof(f9891,plain,
( ~ sQ281_spl
| ~ sQ94_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f613,f7831]) ).
fof(f9892,plain,
( ~ sQ276_spl
| ~ sQ94_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f613,f6514]) ).
fof(f10004,plain,
( ~ sQ193_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1634,f123]) ).
fof(f10010,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_5,e_1)
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f553,f1765]) ).
fof(f10011,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_3,e_1)
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f553,f1771]) ).
fof(f10012,plain,
! [X0,X1] :
( ~ sQ32_spl
| ~ sQ75_spl
| equalish(X1,e_3)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f553,f1779]) ).
fof(f10013,plain,
! [X0,X1] :
( ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_3,X1)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f553,f1781]) ).
fof(f10014,plain,
! [X0,X1] :
( ~ sQ32_spl
| ~ sQ75_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f553,f1785]) ).
fof(f10015,plain,
! [X0,X1] :
( ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f553,f1787]) ).
fof(f10041,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| sQ128_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f10010,f793,f761,f552,f404]) ).
fof(f10042,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| sQ161_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f10011,f793,f954,f552,f404]) ).
fof(f10065,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ11_spl
| equalish(e_1,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f4864,f215]) ).
fof(f10066,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ17_spl
| equalish(e_2,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f8383,f225]) ).
fof(f10069,plain,
( ~ sQ222_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f2660,f123]) ).
fof(f10077,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f10065,f63]) ).
fof(f10078,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f10077,f892,f224,f214]) ).
fof(f10079,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ12_spl
| equalish(e_2,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f228,f8383]) ).
fof(f10087,plain,
( ~ sQ65_spl
| ~ sQ251_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f3804,f516]) ).
fof(f10095,plain,
( ~ sQ17_spl
| ~ sQ12_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f10079,f62]) ).
fof(f10096,plain,
( ~ sQ17_spl
| ~ sQ12_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f10095,f1272,f227,f243]) ).
fof(f10103,plain,
( ~ sQ230_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f2868,f123]) ).
fof(f10112,plain,
! [X0,X1] :
( ~ sQ6_spl
| equalish(e_1,X1)
| ~ next(X0,X1)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f337,f64]) ).
fof(f10113,plain,
! [X0] :
( ~ sQ138_spl
| ~ sQ6_spl
| equalish(e_5,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f367,f806]) ).
fof(f10114,plain,
! [X0] :
( ~ sQ146_spl
| ~ sQ18_spl
| equalish(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f359,f832]) ).
fof(f10115,plain,
( ~ sQ146_spl
| ~ sQ277_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f6554,f832]) ).
fof(f10122,plain,
( ~ sQ105_spl
| ~ sQ61_spl
| equalish(e_4,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f2507,f654]) ).
fof(f10123,plain,
( ~ sQ105_spl
| ~ sQ61_spl
| sQ155_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f10122,f809,f888,f502,f653]) ).
fof(f10129,plain,
! [X0] :
( ~ sQ142_spl
| ~ sQ13_spl
| equalish(e_4,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f358,f819]) ).
fof(f10130,plain,
( ~ sQ196_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f1750,f123]) ).
fof(f10135,plain,
( ~ sQ105_spl
| ~ sQ61_spl
| equalish(e_2,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f2513,f654]) ).
fof(f10136,plain,
( ~ sQ105_spl
| ~ sQ61_spl
| sQ167_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f10135,f809,f1020,f502,f653]) ).
fof(f10143,plain,
! [X0,X1] :
( ~ sQ105_spl
| ~ sQ61_spl
| equalish(e_2,X1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f2523,f654]) ).
fof(f10145,plain,
( ~ sQ154_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f883,f123]) ).
fof(f10149,plain,
! [X0,X1] :
( ~ sQ105_spl
| ~ sQ61_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f2529,f654]) ).
fof(f10154,plain,
( ~ sQ105_spl
| ~ sQ146_spl
| equalish(e_4,e_2)
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f3916,f654]) ).
fof(f10155,plain,
( ~ sQ105_spl
| ~ sQ146_spl
| sQ179_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f10154,f489,f1210,f831,f653]) ).
fof(f10156,plain,
( ~ sQ105_spl
| ~ sQ146_spl
| equalish(e_4,e_1)
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f3923,f654]) ).
fof(f10157,plain,
( ~ sQ105_spl
| ~ sQ146_spl
| sQ155_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f10156,f489,f888,f831,f653]) ).
fof(f10159,plain,
( ~ sQ235_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f3084,f123]) ).
fof(f10163,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f3936,f626]) ).
fof(f10168,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_3,X1)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f3930,f626]) ).
fof(f10170,plain,
( ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_3,e_4)
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f3920,f626]) ).
fof(f10171,plain,
( ~ sQ98_spl
| ~ sQ146_spl
| sQ190_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f10170,f524,f1486,f831,f625]) ).
fof(f10172,plain,
( ~ sQ43_spl
| ~ sQ284_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f7985,f440]) ).
fof(f10173,plain,
( ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_1,e_4)
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f3914,f626]) ).
fof(f10174,plain,
( ~ sQ98_spl
| ~ sQ146_spl
| sQ156_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f10173,f524,f892,f831,f625]) ).
fof(f10177,plain,
( ~ sQ65_spl
| ~ sQ138_spl
| equalish(e_2,e_4)
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f4834,f516]) ).
fof(f10178,plain,
( ~ sQ65_spl
| ~ sQ138_spl
| sQ180_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f10177,f697,f1214,f805,f515]) ).
fof(f10179,plain,
( ~ sQ65_spl
| ~ sQ138_spl
| equalish(e_2,e_1)
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f4841,f516]) ).
fof(f10180,plain,
( ~ sQ65_spl
| ~ sQ138_spl
| sQ167_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f10179,f697,f1020,f805,f515]) ).
fof(f10184,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ sQ138_spl
| equalish(X1,e_1)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f4850,f516]) ).
fof(f10185,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ sQ138_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f4856,f516]) ).
fof(f10186,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f4854,f450]) ).
fof(f10191,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_5,X1)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f4848,f450]) ).
fof(f10194,plain,
( ~ sQ43_spl
| ~ sQ250_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f3624,f440]) ).
fof(f10195,plain,
( ~ sQ43_spl
| ~ sQ250_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f10194,f492,f3623,f439]) ).
fof(f10196,plain,
( ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_5,e_2)
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f4838,f450]) ).
fof(f10197,plain,
( ~ sQ46_spl
| ~ sQ138_spl
| sQ176_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f10196,f656,f1153,f805,f449]) ).
fof(f10198,plain,
( ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_1,e_2)
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f4832,f450]) ).
fof(f10199,plain,
( ~ sQ46_spl
| ~ sQ138_spl
| sQ168_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f10198,f656,f1024,f805,f449]) ).
fof(f10200,plain,
( ~ sQ138_spl
| ~ sQ65_spl
| equalish(e_4,e_5)
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f2330,f806]) ).
fof(f10201,plain,
( ~ sQ138_spl
| ~ sQ65_spl
| sQ159_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f10200,f442,f904,f515,f805]) ).
fof(f10202,plain,
( ~ sQ122_spl
| ~ sQ275_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f6377,f708]) ).
fof(f10203,plain,
( ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_5,e_2)
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f2332,f647]) ).
fof(f10204,plain,
( ~ sQ103_spl
| ~ sQ65_spl
| sQ176_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f10203,f382,f1153,f515,f646]) ).
fof(f10205,plain,
( ~ sQ122_spl
| ~ sQ271_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f5998,f708]) ).
fof(f10206,plain,
( ~ sQ199_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f1879,f123]) ).
fof(f10207,plain,
( ~ sQ138_spl
| ~ sQ65_spl
| equalish(e_1,e_5)
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f2336,f806]) ).
fof(f10208,plain,
( ~ sQ138_spl
| ~ sQ65_spl
| sQ127_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f10207,f442,f757,f515,f805]) ).
fof(f10209,plain,
( ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_5,e_4)
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f2339,f647]) ).
fof(f10210,plain,
( ~ sQ103_spl
| ~ sQ65_spl
| sQ195_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f10209,f382,f1704,f515,f646]) ).
fof(f10211,plain,
( ~ sQ81_spl
| ~ sQ287_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f9562,f572]) ).
fof(f10212,plain,
( ~ sQ142_spl
| ~ sQ247_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f3404,f819]) ).
fof(f10213,plain,
( ~ sQ204_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f2026,f123]) ).
fof(f10215,plain,
! [X0,X1] :
( ~ sQ138_spl
| ~ sQ65_spl
| equalish(e_1,X1)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f2346,f806]) ).
fof(f10217,plain,
( ~ sQ122_spl
| ~ sQ288_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f9754,f708]) ).
fof(f10219,plain,
( ~ sQ239_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f3179,f123]) ).
fof(f10220,plain,
( ~ sQ181_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f1263,f123]) ).
fof(f10221,plain,
! [X0,X1] :
( ~ sQ138_spl
| ~ sQ65_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f2352,f806]) ).
fof(f10223,plain,
( ~ sQ192_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f1586,f123]) ).
fof(f10224,plain,
( ~ sQ114_spl
| ~ sQ289_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f9840,f682]) ).
fof(f10225,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ18_spl
| equalish(e_3,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f8428,f231]) ).
fof(f10226,plain,
( ~ sQ130_spl
| ~ sQ35_spl
| equalish(e_5,e_2)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f1608,f781]) ).
fof(f10227,plain,
( ~ sQ130_spl
| ~ sQ35_spl
| sQ176_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f10226,f672,f1153,f414,f780]) ).
fof(f10228,plain,
( ~ sQ94_spl
| ~ sQ35_spl
| equalish(e_2,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f1610,f613]) ).
fof(f10229,plain,
( ~ sQ94_spl
| ~ sQ35_spl
| sQ183_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f10228,f685,f1272,f414,f612]) ).
fof(f10230,plain,
( ~ sQ130_spl
| ~ sQ35_spl
| equalish(e_1,e_2)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f1614,f781]) ).
fof(f10231,plain,
( ~ sQ130_spl
| ~ sQ35_spl
| sQ168_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f10230,f672,f1024,f414,f780]) ).
fof(f10232,plain,
( ~ sQ81_spl
| ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_3,e_1)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f4829,f572]) ).
fof(f10233,plain,
( ~ sQ138_spl
| ~ sQ46_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f4829,f806]) ).
fof(f10234,plain,
( ~ sQ105_spl
| ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_2,e_1)
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f4829,f654]) ).
fof(f10235,plain,
( ~ sQ32_spl
| ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_5,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f4829,f405]) ).
fof(f10237,plain,
( ~ sQ81_spl
| ~ sQ46_spl
| ~ sQ138_spl
| sQ161_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f10232,f672,f954,f805,f449,f571]) ).
fof(f10238,plain,
( ~ sQ138_spl
| sQ173_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f10233,f449,f1093,f805]) ).
fof(f10239,plain,
( ~ sQ105_spl
| ~ sQ46_spl
| ~ sQ138_spl
| sQ167_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f10234,f828,f1020,f805,f449,f653]) ).
fof(f10240,plain,
( ~ sQ32_spl
| ~ sQ46_spl
| ~ sQ138_spl
| sQ128_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f10235,f555,f761,f805,f449,f404]) ).
fof(f10242,plain,
( ~ sQ94_spl
| ~ sQ35_spl
| equalish(e_2,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f1617,f613]) ).
fof(f10243,plain,
( ~ sQ94_spl
| ~ sQ35_spl
| sQ171_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f10242,f685,f1036,f414,f612]) ).
fof(f10244,plain,
( ~ sQ81_spl
| ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_2,e_5)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f4830,f572]) ).
fof(f10245,plain,
( ~ sQ138_spl
| ~ sQ46_spl
| equalish(e_5,e_5)
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f4830,f806]) ).
fof(f10246,plain,
( ~ sQ105_spl
| ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_1,e_5)
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f4830,f654]) ).
fof(f10247,plain,
( ~ sQ32_spl
| ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f4830,f405]) ).
fof(f10249,plain,
( ~ sQ81_spl
| ~ sQ46_spl
| ~ sQ138_spl
| sQ171_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f10244,f672,f1036,f805,f449,f571]) ).
fof(f10250,plain,
( ~ sQ138_spl
| sQ125_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f10245,f449,f749,f805]) ).
fof(f10251,plain,
( ~ sQ105_spl
| ~ sQ46_spl
| ~ sQ138_spl
| sQ127_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f10246,f828,f757,f805,f449,f653]) ).
fof(f10252,plain,
( ~ sQ32_spl
| ~ sQ46_spl
| ~ sQ138_spl
| sQ165_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f10247,f555,f970,f805,f449,f404]) ).
fof(f10254,plain,
( ~ sQ122_spl
| ~ sQ98_spl
| ~ sQ61_spl
| equalish(e_3,e_4)
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f3775,f708]) ).
fof(f10255,plain,
( ~ sQ74_spl
| ~ sQ98_spl
| ~ sQ61_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f3775,f544]) ).
fof(f10256,plain,
( ~ sQ98_spl
| ~ sQ61_spl
| equalish(e_4,e_4)
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f3775,f626]) ).
fof(f10257,plain,
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ61_spl
| equalish(e_2,e_4)
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f3775,f450]) ).
fof(f10259,plain,
( ~ sQ122_spl
| ~ sQ98_spl
| ~ sQ61_spl
| sQ190_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f10254,f603,f1486,f502,f625,f707]) ).
fof(f10260,plain,
( ~ sQ74_spl
| ~ sQ98_spl
| ~ sQ61_spl
| sQ195_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f10255,f401,f1704,f502,f625,f543]) ).
fof(f10261,plain,
( ~ sQ98_spl
| sQ158_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f10256,f502,f900,f625]) ).
fof(f10262,plain,
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ61_spl
| sQ180_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f10257,f640,f1214,f502,f625,f449]) ).
fof(f10264,plain,
! [X0,X1] :
( ~ sQ130_spl
| ~ sQ35_spl
| equalish(X1,e_1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f1622,f781]) ).
fof(f10265,plain,
! [X0,X1] :
( ~ sQ130_spl
| ~ sQ35_spl
| equalish(e_1,X1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f1624,f781]) ).
fof(f10266,plain,
( ~ sQ13_spl
| ~ sQ18_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f10225,f63]) ).
fof(f10267,plain,
( ~ sQ13_spl
| ~ sQ18_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f10266,f1486,f246,f230]) ).
fof(f10274,plain,
( ~ sQ122_spl
| ~ sQ98_spl
| ~ sQ61_spl
| equalish(e_2,e_3)
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f3901,f708]) ).
fof(f10275,plain,
( ~ sQ74_spl
| ~ sQ98_spl
| ~ sQ61_spl
| equalish(e_4,e_3)
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f3901,f544]) ).
fof(f10276,plain,
( ~ sQ98_spl
| ~ sQ61_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f3901,f626]) ).
fof(f10277,plain,
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ61_spl
| equalish(e_5,e_3)
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f3901,f450]) ).
fof(f10279,plain,
( ~ sQ122_spl
| ~ sQ98_spl
| ~ sQ61_spl
| sQ183_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f10274,f603,f1272,f502,f625,f707]) ).
fof(f10280,plain,
( ~ sQ74_spl
| ~ sQ98_spl
| ~ sQ61_spl
| sQ189_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f10275,f401,f1482,f502,f625,f543]) ).
fof(f10281,plain,
( ~ sQ98_spl
| sQ164_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f10276,f502,f966,f625]) ).
fof(f10282,plain,
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ61_spl
| sQ187_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f10277,f640,f1432,f502,f625,f449]) ).
fof(f10284,plain,
! [X0,X1] :
( ~ sQ94_spl
| ~ sQ35_spl
| equalish(X1,e_5)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f1626,f613]) ).
fof(f10285,plain,
( ~ sQ122_spl
| ~ sQ98_spl
| ~ sQ61_spl
| equalish(e_4,e_3)
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f4674,f708]) ).
fof(f10286,plain,
( ~ sQ74_spl
| ~ sQ98_spl
| ~ sQ61_spl
| equalish(e_4,e_5)
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f4674,f544]) ).
fof(f10288,plain,
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ61_spl
| equalish(e_4,e_2)
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f4674,f450]) ).
fof(f10289,plain,
( ~ sQ98_spl
| ~ sQ61_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f4674,f123]) ).
fof(f10290,plain,
( ~ sQ122_spl
| ~ sQ98_spl
| ~ sQ61_spl
| sQ189_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f10285,f603,f1482,f502,f625,f707]) ).
fof(f10291,plain,
( ~ sQ74_spl
| ~ sQ98_spl
| ~ sQ61_spl
| sQ159_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f10286,f401,f904,f502,f625,f543]) ).
fof(f10293,plain,
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ61_spl
| sQ179_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f10288,f640,f1210,f502,f625,f449]) ).
fof(f10294,plain,
( ~ sQ98_spl
| ~ sQ61_spl
| sQ155_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f10289,f844,f888,f502,f625]) ).
fof(f10296,plain,
( ~ sQ74_spl
| ~ sQ98_spl
| ~ sQ61_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f4676,f544]) ).
fof(f10298,plain,
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ61_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f4676,f450]) ).
fof(f10299,plain,
( ~ sQ98_spl
| ~ sQ61_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f4676,f123]) ).
fof(f10301,plain,
( ~ sQ74_spl
| ~ sQ98_spl
| ~ sQ61_spl
| sQ190_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f10296,f401,f1486,f502,f625,f543]) ).
fof(f10303,plain,
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ61_spl
| sQ165_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f10298,f640,f970,f502,f625,f449]) ).
fof(f10304,plain,
( ~ sQ98_spl
| ~ sQ61_spl
| sQ161_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f10299,f844,f954,f502,f625]) ).
fof(f10305,plain,
! [X0,X1] :
( ~ sQ130_spl
| ~ sQ35_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f1628,f781]) ).
fof(f10306,plain,
! [X0,X1] :
( ~ sQ130_spl
| ~ sQ35_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f1630,f781]) ).
fof(f10308,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ13_spl
| equalish(e_3,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f8371,f209]) ).
fof(f10309,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f10308,f61]) ).
fof(f10310,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f10309,f1268,f230,f208]) ).
fof(f10311,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ8_spl
| equalish(e_3,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f215,f8371]) ).
fof(f10316,plain,
! [X0,X1] :
( ~ sQ94_spl
| ~ sQ35_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f1632,f613]) ).
fof(f10317,plain,
( ~ sQ114_spl
| ~ sQ43_spl
| equalish(e_3,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f1181,f682]) ).
fof(f10318,plain,
( ~ sQ114_spl
| ~ sQ43_spl
| sQ182_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f10317,f593,f1268,f439,f681]) ).
fof(f10319,plain,
( ~ sQ114_spl
| ~ sQ43_spl
| equalish(e_3,e_5)
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f1188,f682]) ).
fof(f10320,plain,
( ~ sQ114_spl
| ~ sQ43_spl
| sQ165_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f10319,f593,f970,f439,f681]) ).
fof(f10323,plain,
! [X0,X1] :
( ~ sQ114_spl
| ~ sQ43_spl
| equalish(X1,e_5)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f1197,f682]) ).
fof(f10324,plain,
( ~ sQ94_spl
| ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_3,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f5111,f613]) ).
fof(f10325,plain,
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_5,e_1)
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f5111,f440]) ).
fof(f10326,plain,
( ~ sQ65_spl
| ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f5111,f516]) ).
fof(f10327,plain,
( ~ sQ146_spl
| ~ sQ98_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f5111,f832]) ).
fof(f10329,plain,
( ~ sQ94_spl
| ~ sQ98_spl
| ~ sQ146_spl
| sQ161_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f10324,f423,f954,f831,f625,f612]) ).
fof(f10330,plain,
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ146_spl
| sQ128_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f10325,f476,f761,f831,f625,f439]) ).
fof(f10331,plain,
( ~ sQ65_spl
| ~ sQ98_spl
| ~ sQ146_spl
| sQ155_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f10326,f802,f888,f831,f625,f515]) ).
fof(f10332,plain,
( ~ sQ146_spl
| sQ173_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f10327,f625,f1093,f831]) ).
fof(f10334,plain,
! [X0,X1] :
( ~ sQ114_spl
| ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f1203,f682]) ).
fof(f10335,plain,
( ~ sQ94_spl
| ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f5112,f613]) ).
fof(f10336,plain,
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_4,e_3)
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f5112,f440]) ).
fof(f10337,plain,
( ~ sQ65_spl
| ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_1,e_3)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f5112,f516]) ).
fof(f10338,plain,
( ~ sQ146_spl
| ~ sQ98_spl
| equalish(e_3,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f5112,f832]) ).
fof(f10340,plain,
( ~ sQ94_spl
| ~ sQ98_spl
| ~ sQ146_spl
| sQ187_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f10335,f423,f1432,f831,f625,f612]) ).
fof(f10341,plain,
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ146_spl
| sQ189_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f10336,f476,f1482,f831,f625,f439]) ).
fof(f10342,plain,
( ~ sQ65_spl
| ~ sQ98_spl
| ~ sQ146_spl
| sQ162_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f10337,f802,f958,f831,f625,f515]) ).
fof(f10343,plain,
( ~ sQ146_spl
| sQ164_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f10338,f625,f966,f831]) ).
fof(f10345,plain,
( ~ sQ122_spl
| ~ sQ74_spl
| ~ sQ32_spl
| equalish(e_3,e_5)
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f5530,f708]) ).
fof(f10346,plain,
( ~ sQ74_spl
| ~ sQ32_spl
| equalish(e_5,e_5)
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f5530,f544]) ).
fof(f10347,plain,
( ~ sQ98_spl
| ~ sQ74_spl
| ~ sQ32_spl
| equalish(e_4,e_5)
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f5530,f626]) ).
fof(f10348,plain,
( ~ sQ46_spl
| ~ sQ74_spl
| ~ sQ32_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f5530,f450]) ).
fof(f10350,plain,
( ~ sQ122_spl
| ~ sQ74_spl
| ~ sQ32_spl
| sQ165_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f10345,f606,f970,f404,f543,f707]) ).
fof(f10351,plain,
( ~ sQ74_spl
| sQ125_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f10346,f404,f749,f543]) ).
fof(f10352,plain,
( ~ sQ98_spl
| ~ sQ74_spl
| ~ sQ32_spl
| sQ159_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f10347,f505,f904,f404,f543,f625]) ).
fof(f10353,plain,
( ~ sQ46_spl
| ~ sQ74_spl
| ~ sQ32_spl
| sQ171_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f10348,f643,f1036,f404,f543,f449]) ).
fof(f10355,plain,
! [X0,X1] :
( ~ sQ52_spl
| ~ sQ43_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f1201,f474]) ).
fof(f10356,plain,
! [X0,X1] :
( ~ sQ52_spl
| ~ sQ43_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f1199,f474]) ).
fof(f10358,plain,
( ~ sQ13_spl
| ~ sQ8_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f10311,f63]) ).
fof(f10359,plain,
( ~ sQ13_spl
| ~ sQ8_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f10358,f1486,f214,f230]) ).
fof(f10360,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ7_spl
| equalish(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f212,f8371]) ).
fof(f10365,plain,
! [X0,X1] :
( ~ sQ7_spl
| equalish(e_2,X1)
| ~ next(X0,X1)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f326,f64]) ).
fof(f10366,plain,
( ~ sQ122_spl
| ~ sQ74_spl
| ~ sQ32_spl
| equalish(e_2,e_4)
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f5645,f708]) ).
fof(f10367,plain,
( ~ sQ74_spl
| ~ sQ32_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f5645,f544]) ).
fof(f10368,plain,
( ~ sQ98_spl
| ~ sQ74_spl
| ~ sQ32_spl
| equalish(e_3,e_4)
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f5645,f626]) ).
fof(f10369,plain,
( ~ sQ46_spl
| ~ sQ74_spl
| ~ sQ32_spl
| equalish(e_5,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f5645,f450]) ).
fof(f10371,plain,
( ~ sQ122_spl
| ~ sQ74_spl
| ~ sQ32_spl
| sQ180_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f10366,f606,f1214,f404,f543,f707]) ).
fof(f10372,plain,
( ~ sQ74_spl
| sQ158_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f10367,f404,f900,f543]) ).
fof(f10373,plain,
( ~ sQ98_spl
| ~ sQ74_spl
| ~ sQ32_spl
| sQ190_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f10368,f505,f1486,f404,f543,f625]) ).
fof(f10374,plain,
( ~ sQ46_spl
| ~ sQ74_spl
| ~ sQ32_spl
| sQ195_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f10369,f643,f1704,f404,f543,f449]) ).
fof(f10376,plain,
! [X0,X1] :
( ~ sQ52_spl
| ~ sQ43_spl
| equalish(e_4,X1)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f1195,f474]) ).
fof(f10377,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ74_spl
| equalish(e_5,e_3)
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f5875,f708]) ).
fof(f10379,plain,
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ74_spl
| equalish(e_5,e_4)
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f5875,f626]) ).
fof(f10380,plain,
( ~ sQ46_spl
| ~ sQ32_spl
| ~ sQ74_spl
| equalish(e_5,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f5875,f450]) ).
fof(f10381,plain,
( ~ sQ32_spl
| ~ sQ74_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f5875,f123]) ).
fof(f10382,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ74_spl
| sQ187_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f10377,f606,f1432,f543,f404,f707]) ).
fof(f10384,plain,
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ74_spl
| sQ195_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f10379,f505,f1704,f543,f404,f625]) ).
fof(f10385,plain,
( ~ sQ46_spl
| ~ sQ32_spl
| ~ sQ74_spl
| sQ176_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f10380,f643,f1153,f543,f404,f449]) ).
fof(f10386,plain,
( ~ sQ32_spl
| ~ sQ74_spl
| sQ128_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f10381,f847,f761,f543,f404]) ).
fof(f10387,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ74_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f6033,f708]) ).
fof(f10390,plain,
( ~ sQ46_spl
| ~ sQ32_spl
| ~ sQ74_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f6033,f450]) ).
fof(f10391,plain,
( ~ sQ32_spl
| ~ sQ74_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f6033,f123]) ).
fof(f10392,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ74_spl
| sQ179_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f10387,f606,f1210,f543,f404,f707]) ).
fof(f10395,plain,
( ~ sQ46_spl
| ~ sQ32_spl
| ~ sQ74_spl
| sQ159_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f10390,f643,f904,f543,f404,f449]) ).
fof(f10396,plain,
( ~ sQ32_spl
| ~ sQ74_spl
| sQ155_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f10391,f847,f888,f543,f404]) ).
fof(f10397,plain,
! [X0,X1] :
( ~ sQ52_spl
| ~ sQ43_spl
| equalish(X1,e_4)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f1193,f474]) ).
fof(f10398,plain,
( ~ sQ52_spl
| ~ sQ43_spl
| equalish(e_4,e_3)
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f1185,f474]) ).
fof(f10399,plain,
( ~ sQ52_spl
| ~ sQ43_spl
| sQ189_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f10398,f606,f1482,f439,f473]) ).
fof(f10400,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ17_spl
| equalish(e_2,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f8383,f231]) ).
fof(f10401,plain,
( ~ sQ13_spl
| ~ sQ17_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f10400,f63]) ).
fof(f10402,plain,
( ~ sQ13_spl
| ~ sQ17_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f10401,f1214,f243,f230]) ).
fof(f10406,plain,
! [X0] :
( ~ sQ138_spl
| ~ sQ7_spl
| equalish(e_5,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f365,f806]) ).
fof(f10407,plain,
( ~ sQ81_spl
| ~ sQ146_spl
| ~ sQ105_spl
| equalish(e_2,e_1)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f9328,f572]) ).
fof(f10408,plain,
( ~ sQ138_spl
| ~ sQ146_spl
| ~ sQ105_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f9328,f806]) ).
fof(f10409,plain,
( ~ sQ105_spl
| ~ sQ146_spl
| equalish(e_1,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f9328,f654]) ).
fof(f10410,plain,
( ~ sQ32_spl
| ~ sQ146_spl
| ~ sQ105_spl
| equalish(e_3,e_1)
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f9328,f405]) ).
fof(f10412,plain,
( ~ sQ81_spl
| ~ sQ146_spl
| ~ sQ105_spl
| sQ167_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f10407,f675,f1020,f653,f831,f571]) ).
fof(f10413,plain,
( ~ sQ138_spl
| ~ sQ146_spl
| ~ sQ105_spl
| sQ128_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f10408,f452,f761,f653,f831,f805]) ).
fof(f10414,plain,
( ~ sQ105_spl
| sQ173_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f10409,f831,f1093,f653]) ).
fof(f10415,plain,
( ~ sQ32_spl
| ~ sQ146_spl
| ~ sQ105_spl
| sQ161_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f10410,f558,f954,f653,f831,f404]) ).
fof(f10417,plain,
( ~ sQ52_spl
| ~ sQ43_spl
| equalish(e_5,e_3)
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f1179,f474]) ).
fof(f10418,plain,
( ~ sQ52_spl
| ~ sQ43_spl
| sQ187_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f10417,f606,f1432,f439,f473]) ).
fof(f10419,plain,
( ~ sQ81_spl
| ~ sQ146_spl
| ~ sQ105_spl
| equalish(e_1,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f9329,f572]) ).
fof(f10420,plain,
( ~ sQ138_spl
| ~ sQ146_spl
| ~ sQ105_spl
| equalish(e_1,e_5)
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f9329,f806]) ).
fof(f10422,plain,
( ~ sQ32_spl
| ~ sQ146_spl
| ~ sQ105_spl
| equalish(e_1,e_3)
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f9329,f405]) ).
fof(f10423,plain,
( ~ sQ146_spl
| ~ sQ105_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f9329,f123]) ).
fof(f10424,plain,
( ~ sQ81_spl
| ~ sQ146_spl
| ~ sQ105_spl
| sQ168_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f10419,f675,f1024,f653,f831,f571]) ).
fof(f10425,plain,
( ~ sQ138_spl
| ~ sQ146_spl
| ~ sQ105_spl
| sQ127_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f10420,f452,f757,f653,f831,f805]) ).
fof(f10427,plain,
( ~ sQ32_spl
| ~ sQ146_spl
| ~ sQ105_spl
| sQ162_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f10422,f558,f958,f653,f831,f404]) ).
fof(f10428,plain,
( ~ sQ146_spl
| ~ sQ105_spl
| sQ156_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f10423,f489,f892,f653,f831]) ).
fof(f10429,plain,
( ~ sQ114_spl
| ~ sQ61_spl
| ~ sQ105_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f9492,f682]) ).
fof(f10430,plain,
( ~ sQ142_spl
| ~ sQ61_spl
| ~ sQ105_spl
| equalish(e_4,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f9492,f819]) ).
fof(f10431,plain,
( ~ sQ35_spl
| ~ sQ61_spl
| ~ sQ105_spl
| equalish(e_1,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f9492,f415]) ).
fof(f10432,plain,
( ~ sQ61_spl
| ~ sQ105_spl
| equalish(e_2,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f9492,f503]) ).
fof(f10434,plain,
( ~ sQ114_spl
| ~ sQ61_spl
| ~ sQ105_spl
| sQ176_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f10429,f430,f1153,f653,f502,f681]) ).
fof(f10435,plain,
( ~ sQ142_spl
| ~ sQ61_spl
| ~ sQ105_spl
| sQ179_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f10430,f531,f1210,f653,f502,f818]) ).
fof(f10436,plain,
( ~ sQ35_spl
| ~ sQ61_spl
| ~ sQ105_spl
| sQ168_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f10431,f777,f1024,f653,f502,f414]) ).
fof(f10437,plain,
( ~ sQ61_spl
| sQ170_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f10432,f653,f1032,f502]) ).
fof(f10439,plain,
( ~ sQ142_spl
| ~ sQ74_spl
| equalish(e_3,e_1)
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f1897,f819]) ).
fof(f10440,plain,
( ~ sQ142_spl
| ~ sQ74_spl
| sQ161_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f10439,f596,f954,f543,f818]) ).
fof(f10441,plain,
! [X0,X1] :
( ~ sQ142_spl
| ~ sQ74_spl
| equalish(X1,e_4)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f1913,f819]) ).
fof(f10446,plain,
! [X0] :
( ~ sQ146_spl
| ~ sQ19_spl
| equalish(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f348,f832]) ).
fof(f10447,plain,
! [X0,X1] :
( ~ sQ142_spl
| ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f1919,f819]) ).
fof(f10448,plain,
( ~ sQ81_spl
| ~ sQ146_spl
| ~ sQ105_spl
| equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f9495,f572]) ).
fof(f10449,plain,
( ~ sQ138_spl
| ~ sQ146_spl
| ~ sQ105_spl
| equalish(e_1,e_2)
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f9495,f806]) ).
fof(f10450,plain,
( ~ sQ105_spl
| ~ sQ146_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f9495,f654]) ).
fof(f10451,plain,
( ~ sQ32_spl
| ~ sQ146_spl
| ~ sQ105_spl
| equalish(e_5,e_2)
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f9495,f405]) ).
fof(f10453,plain,
( ~ sQ81_spl
| ~ sQ146_spl
| ~ sQ105_spl
| sQ182_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f10448,f675,f1268,f653,f831,f571]) ).
fof(f10454,plain,
( ~ sQ138_spl
| ~ sQ146_spl
| ~ sQ105_spl
| sQ168_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f10449,f452,f1024,f653,f831,f805]) ).
fof(f10455,plain,
( ~ sQ105_spl
| sQ170_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f10450,f831,f1032,f653]) ).
fof(f10456,plain,
( ~ sQ32_spl
| ~ sQ146_spl
| ~ sQ105_spl
| sQ176_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f10451,f558,f1153,f653,f831,f404]) ).
fof(f10458,plain,
( ~ sQ142_spl
| ~ sQ74_spl
| equalish(e_3,e_4)
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f1904,f819]) ).
fof(f10459,plain,
( ~ sQ142_spl
| ~ sQ74_spl
| sQ190_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f10458,f596,f1486,f543,f818]) ).
fof(f10461,plain,
( ~ sQ138_spl
| ~ sQ146_spl
| ~ sQ105_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f9496,f806]) ).
fof(f10463,plain,
( ~ sQ32_spl
| ~ sQ146_spl
| ~ sQ105_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f9496,f405]) ).
fof(f10464,plain,
( ~ sQ146_spl
| ~ sQ105_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f9496,f123]) ).
fof(f10466,plain,
( ~ sQ138_spl
| ~ sQ146_spl
| ~ sQ105_spl
| sQ167_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f10461,f452,f1020,f653,f831,f805]) ).
fof(f10468,plain,
( ~ sQ32_spl
| ~ sQ146_spl
| ~ sQ105_spl
| sQ171_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f10463,f558,f1036,f653,f831,f404]) ).
fof(f10469,plain,
( ~ sQ146_spl
| ~ sQ105_spl
| sQ180_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f10464,f489,f1214,f653,f831]) ).
fof(f10470,plain,
( ~ sQ114_spl
| ~ sQ61_spl
| ~ sQ105_spl
| equalish(e_2,e_4)
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f9577,f682]) ).
fof(f10471,plain,
( ~ sQ142_spl
| ~ sQ61_spl
| ~ sQ105_spl
| equalish(e_1,e_4)
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f9577,f819]) ).
fof(f10472,plain,
( ~ sQ35_spl
| ~ sQ61_spl
| ~ sQ105_spl
| equalish(e_5,e_4)
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f9577,f415]) ).
fof(f10473,plain,
( ~ sQ61_spl
| ~ sQ105_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f9577,f503]) ).
fof(f10475,plain,
( ~ sQ114_spl
| ~ sQ61_spl
| ~ sQ105_spl
| sQ180_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f10470,f430,f1214,f653,f502,f681]) ).
fof(f10476,plain,
( ~ sQ142_spl
| ~ sQ61_spl
| ~ sQ105_spl
| sQ156_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f10471,f531,f892,f653,f502,f818]) ).
fof(f10477,plain,
( ~ sQ35_spl
| ~ sQ61_spl
| ~ sQ105_spl
| sQ195_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f10472,f777,f1704,f653,f502,f414]) ).
fof(f10478,plain,
( ~ sQ61_spl
| sQ158_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f10473,f653,f900,f502]) ).
fof(f10482,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_2,X0)
| ~ next(e_0,X0) ),
inference(resolution,[status(thm)],[f10365,f83]) ).
fof(f10483,plain,
( ~ sQ7_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f10482,f60]) ).
fof(f10484,plain,
( ~ sQ7_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f10483,f1020,f211]) ).
fof(f10491,plain,
( ~ sQ122_spl
| ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f4725,f708]) ).
fof(f10492,plain,
( ~ sQ74_spl
| ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_5,e_2)
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f4725,f544]) ).
fof(f10493,plain,
( ~ sQ98_spl
| ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_4,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f4725,f626]) ).
fof(f10494,plain,
( ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_2,e_2)
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f4725,f450]) ).
fof(f10496,plain,
( ~ sQ122_spl
| ~ sQ46_spl
| ~ sQ103_spl
| sQ182_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f10491,f609,f1268,f646,f449,f707]) ).
fof(f10497,plain,
( ~ sQ74_spl
| ~ sQ46_spl
| ~ sQ103_spl
| sQ176_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f10492,f407,f1153,f646,f449,f543]) ).
fof(f10498,plain,
( ~ sQ98_spl
| ~ sQ46_spl
| ~ sQ103_spl
| sQ179_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f10493,f508,f1210,f646,f449,f625]) ).
fof(f10499,plain,
( ~ sQ46_spl
| sQ170_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f10494,f646,f1032,f449]) ).
fof(f10502,plain,
( ~ sQ122_spl
| ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_2,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f4726,f708]) ).
fof(f10503,plain,
( ~ sQ74_spl
| ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_2,e_5)
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f4726,f544]) ).
fof(f10504,plain,
( ~ sQ98_spl
| ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_2,e_4)
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f4726,f626]) ).
fof(f10506,plain,
( ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f4726,f123]) ).
fof(f10507,plain,
( ~ sQ122_spl
| ~ sQ46_spl
| ~ sQ103_spl
| sQ183_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f10502,f609,f1272,f646,f449,f707]) ).
fof(f10508,plain,
( ~ sQ74_spl
| ~ sQ46_spl
| ~ sQ103_spl
| sQ171_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f10503,f407,f1036,f646,f449,f543]) ).
fof(f10509,plain,
( ~ sQ98_spl
| ~ sQ46_spl
| ~ sQ103_spl
| sQ180_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f10504,f508,f1214,f646,f449,f625]) ).
fof(f10511,plain,
( ~ sQ46_spl
| ~ sQ103_spl
| sQ167_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f10506,f850,f1020,f646,f449]) ).
fof(f10512,plain,
( ~ sQ122_spl
| ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_2,e_5)
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f4727,f708]) ).
fof(f10513,plain,
( ~ sQ74_spl
| ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_4,e_5)
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f4727,f544]) ).
fof(f10514,plain,
( ~ sQ98_spl
| ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_3,e_5)
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f4727,f626]) ).
fof(f10515,plain,
( ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f4727,f450]) ).
fof(f10517,plain,
( ~ sQ122_spl
| ~ sQ46_spl
| ~ sQ103_spl
| sQ171_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f10512,f609,f1036,f646,f449,f707]) ).
fof(f10518,plain,
( ~ sQ74_spl
| ~ sQ46_spl
| ~ sQ103_spl
| sQ159_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f10513,f407,f904,f646,f449,f543]) ).
fof(f10519,plain,
( ~ sQ98_spl
| ~ sQ46_spl
| ~ sQ103_spl
| sQ165_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f10514,f508,f970,f646,f449,f625]) ).
fof(f10520,plain,
( ~ sQ46_spl
| sQ125_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f10515,f646,f749,f449]) ).
fof(f10531,plain,
( ~ sQ122_spl
| ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f4728,f708]) ).
fof(f10533,plain,
( ~ sQ98_spl
| ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f4728,f626]) ).
fof(f10535,plain,
( ~ sQ46_spl
| ~ sQ103_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f4728,f123]) ).
fof(f10536,plain,
( ~ sQ122_spl
| ~ sQ46_spl
| ~ sQ103_spl
| sQ176_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f10531,f609,f1153,f646,f449,f707]) ).
fof(f10538,plain,
( ~ sQ98_spl
| ~ sQ46_spl
| ~ sQ103_spl
| sQ187_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f10533,f508,f1432,f646,f449,f625]) ).
fof(f10540,plain,
( ~ sQ46_spl
| ~ sQ103_spl
| sQ128_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f10535,f850,f761,f646,f449]) ).
fof(f10543,plain,
( ~ sQ75_spl
| ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f9330,f553]) ).
fof(f10544,plain,
( ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f9330,f647]) ).
fof(f10546,plain,
( ~ sQ52_spl
| ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f9330,f474]) ).
fof(f10547,plain,
( ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f9330,f123]) ).
fof(f10548,plain,
( ~ sQ75_spl
| ~ sQ103_spl
| ~ sQ65_spl
| sQ183_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f10543,f809,f1272,f515,f646,f552]) ).
fof(f10549,plain,
( ~ sQ103_spl
| sQ170_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f10544,f515,f1032,f646]) ).
fof(f10551,plain,
( ~ sQ52_spl
| ~ sQ103_spl
| ~ sQ65_spl
| sQ180_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f10546,f568,f1214,f515,f646,f473]) ).
fof(f10552,plain,
( ~ sQ103_spl
| ~ sQ65_spl
| sQ171_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f10547,f382,f1036,f515,f646]) ).
fof(f10553,plain,
( ~ sQ75_spl
| ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_3,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f9331,f553]) ).
fof(f10555,plain,
( ~ sQ130_spl
| ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f9331,f781]) ).
fof(f10556,plain,
( ~ sQ52_spl
| ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_4,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f9331,f474]) ).
fof(f10558,plain,
( ~ sQ75_spl
| ~ sQ103_spl
| ~ sQ65_spl
| sQ182_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f10553,f809,f1268,f515,f646,f552]) ).
fof(f10560,plain,
( ~ sQ130_spl
| ~ sQ103_spl
| ~ sQ65_spl
| sQ168_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f10555,f701,f1024,f515,f646,f780]) ).
fof(f10561,plain,
( ~ sQ52_spl
| ~ sQ103_spl
| ~ sQ65_spl
| sQ179_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f10556,f568,f1210,f515,f646,f473]) ).
fof(f10563,plain,
( ~ sQ81_spl
| ~ sQ52_spl
| equalish(e_4,e_2)
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f9536,f572]) ).
fof(f10564,plain,
( ~ sQ81_spl
| ~ sQ52_spl
| sQ179_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f10563,f640,f1210,f473,f571]) ).
fof(f10565,plain,
( ~ sQ43_spl
| ~ sQ52_spl
| equalish(e_2,e_5)
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f9538,f440]) ).
fof(f10566,plain,
( ~ sQ43_spl
| ~ sQ52_spl
| sQ171_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f10565,f691,f1036,f473,f439]) ).
fof(f10572,plain,
! [X0,X1] :
( ~ sQ12_spl
| equalish(e_2,X1)
| ~ next(X0,X1)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f327,f63]) ).
fof(f10573,plain,
( ~ sQ75_spl
| ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_4,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f9332,f553]) ).
fof(f10574,plain,
( ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_4,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f9332,f647]) ).
fof(f10575,plain,
( ~ sQ130_spl
| ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_4,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f9332,f781]) ).
fof(f10576,plain,
( ~ sQ52_spl
| ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_4,e_3)
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f9332,f474]) ).
fof(f10577,plain,
( ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f9332,f123]) ).
fof(f10578,plain,
( ~ sQ75_spl
| ~ sQ103_spl
| ~ sQ65_spl
| sQ155_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f10573,f809,f888,f515,f646,f552]) ).
fof(f10579,plain,
( ~ sQ103_spl
| sQ158_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f10574,f515,f900,f646]) ).
fof(f10580,plain,
( ~ sQ130_spl
| ~ sQ103_spl
| ~ sQ65_spl
| sQ179_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f10575,f701,f1210,f515,f646,f780]) ).
fof(f10581,plain,
( ~ sQ52_spl
| ~ sQ103_spl
| ~ sQ65_spl
| sQ189_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f10576,f568,f1482,f515,f646,f473]) ).
fof(f10582,plain,
( ~ sQ103_spl
| ~ sQ65_spl
| sQ159_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f10577,f382,f904,f515,f646]) ).
fof(f10583,plain,
( ~ sQ81_spl
| ~ sQ52_spl
| equalish(e_3,e_2)
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f9542,f572]) ).
fof(f10584,plain,
( ~ sQ81_spl
| ~ sQ52_spl
| sQ182_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f10583,f640,f1268,f473,f571]) ).
fof(f10585,plain,
( ~ sQ75_spl
| ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_1,e_4)
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f9333,f553]) ).
fof(f10587,plain,
( ~ sQ130_spl
| ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_2,e_4)
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f9333,f781]) ).
fof(f10588,plain,
( ~ sQ52_spl
| ~ sQ103_spl
| ~ sQ65_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f9333,f474]) ).
fof(f10590,plain,
( ~ sQ75_spl
| ~ sQ103_spl
| ~ sQ65_spl
| sQ156_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f10585,f809,f892,f515,f646,f552]) ).
fof(f10592,plain,
( ~ sQ130_spl
| ~ sQ103_spl
| ~ sQ65_spl
| sQ180_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f10587,f701,f1214,f515,f646,f780]) ).
fof(f10593,plain,
( ~ sQ52_spl
| ~ sQ103_spl
| ~ sQ65_spl
| sQ190_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f10588,f568,f1486,f515,f646,f473]) ).
fof(f10595,plain,
( ~ sQ122_spl
| ~ sQ94_spl
| equalish(e_3,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f5102,f708]) ).
fof(f10596,plain,
( ~ sQ74_spl
| ~ sQ122_spl
| ~ sQ94_spl
| equalish(e_5,e_3)
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f5102,f544]) ).
fof(f10597,plain,
( ~ sQ98_spl
| ~ sQ122_spl
| ~ sQ94_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f5102,f626]) ).
fof(f10598,plain,
( ~ sQ46_spl
| ~ sQ122_spl
| ~ sQ94_spl
| equalish(e_2,e_3)
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f5102,f450]) ).
fof(f10600,plain,
( ~ sQ122_spl
| sQ164_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f10595,f612,f966,f707]) ).
fof(f10601,plain,
( ~ sQ74_spl
| ~ sQ122_spl
| ~ sQ94_spl
| sQ187_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f10596,f410,f1432,f612,f707,f543]) ).
fof(f10602,plain,
( ~ sQ98_spl
| ~ sQ122_spl
| ~ sQ94_spl
| sQ189_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f10597,f511,f1482,f612,f707,f625]) ).
fof(f10603,plain,
( ~ sQ46_spl
| ~ sQ122_spl
| ~ sQ94_spl
| sQ183_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f10598,f649,f1272,f612,f707,f449]) ).
fof(f10605,plain,
( ~ sQ43_spl
| ~ sQ52_spl
| equalish(e_2,e_4)
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f9545,f440]) ).
fof(f10606,plain,
( ~ sQ43_spl
| ~ sQ52_spl
| sQ180_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f10605,f691,f1214,f473,f439]) ).
fof(f10607,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ52_spl
| equalish(X1,e_3)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f9550,f572]) ).
fof(f10609,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ18_spl
| equalish(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f8428,f228]) ).
fof(f10610,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_3,X0)
| ~ next(e_0,X0) ),
inference(resolution,[status(thm)],[f8016,f83]) ).
fof(f10611,plain,
! [X0] :
( ~ sQ142_spl
| ~ sQ12_spl
| equalish(e_4,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f366,f819]) ).
fof(f10612,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ52_spl
| equalish(e_3,X1)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f9552,f572]) ).
fof(f10614,plain,
( ~ sQ122_spl
| ~ sQ94_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f5107,f708]) ).
fof(f10615,plain,
( ~ sQ74_spl
| ~ sQ122_spl
| ~ sQ94_spl
| equalish(e_4,e_2)
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f5107,f544]) ).
fof(f10616,plain,
( ~ sQ98_spl
| ~ sQ122_spl
| ~ sQ94_spl
| equalish(e_3,e_2)
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f5107,f626]) ).
fof(f10617,plain,
( ~ sQ46_spl
| ~ sQ122_spl
| ~ sQ94_spl
| equalish(e_5,e_2)
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f5107,f450]) ).
fof(f10619,plain,
( ~ sQ122_spl
| sQ170_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f10614,f612,f1032,f707]) ).
fof(f10620,plain,
( ~ sQ74_spl
| ~ sQ122_spl
| ~ sQ94_spl
| sQ179_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f10615,f410,f1210,f612,f707,f543]) ).
fof(f10621,plain,
( ~ sQ98_spl
| ~ sQ122_spl
| ~ sQ94_spl
| sQ182_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f10616,f511,f1268,f612,f707,f625]) ).
fof(f10622,plain,
( ~ sQ46_spl
| ~ sQ122_spl
| ~ sQ94_spl
| sQ176_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f10617,f649,f1153,f612,f707,f449]) ).
fof(f10624,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ52_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f9556,f572]) ).
fof(f10626,plain,
( ~ sQ74_spl
| ~ sQ94_spl
| ~ sQ122_spl
| equalish(e_3,e_5)
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f5158,f544]) ).
fof(f10627,plain,
( ~ sQ98_spl
| ~ sQ94_spl
| ~ sQ122_spl
| equalish(e_3,e_4)
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f5158,f626]) ).
fof(f10628,plain,
( ~ sQ46_spl
| ~ sQ94_spl
| ~ sQ122_spl
| equalish(e_3,e_2)
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f5158,f450]) ).
fof(f10629,plain,
( ~ sQ94_spl
| ~ sQ122_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f5158,f123]) ).
fof(f10631,plain,
( ~ sQ74_spl
| ~ sQ94_spl
| ~ sQ122_spl
| sQ165_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f10626,f410,f970,f707,f612,f543]) ).
fof(f10632,plain,
( ~ sQ98_spl
| ~ sQ94_spl
| ~ sQ122_spl
| sQ190_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f10627,f511,f1486,f707,f612,f625]) ).
fof(f10633,plain,
( ~ sQ46_spl
| ~ sQ94_spl
| ~ sQ122_spl
| sQ182_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f10628,f649,f1268,f707,f612,f449]) ).
fof(f10634,plain,
( ~ sQ94_spl
| ~ sQ122_spl
| sQ161_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f10629,f853,f954,f707,f612]) ).
fof(f10636,plain,
( ~ sQ74_spl
| ~ sQ94_spl
| ~ sQ122_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f5162,f544]) ).
fof(f10637,plain,
( ~ sQ98_spl
| ~ sQ94_spl
| ~ sQ122_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f5162,f626]) ).
fof(f10639,plain,
( ~ sQ94_spl
| ~ sQ122_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f5162,f123]) ).
fof(f10641,plain,
( ~ sQ74_spl
| ~ sQ94_spl
| ~ sQ122_spl
| sQ180_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f10636,f410,f1214,f707,f612,f543]) ).
fof(f10642,plain,
( ~ sQ98_spl
| ~ sQ94_spl
| ~ sQ122_spl
| sQ183_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f10637,f511,f1272,f707,f612,f625]) ).
fof(f10644,plain,
( ~ sQ94_spl
| ~ sQ122_spl
| sQ167_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f10639,f853,f1020,f707,f612]) ).
fof(f10645,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ52_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f9558,f572]) ).
fof(f10647,plain,
( ~ sQ8_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f10610,f60]) ).
fof(f10648,plain,
( ~ sQ8_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f10647,f954,f214]) ).
fof(f10652,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ11_spl
| equalish(e_3,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f225,f8428]) ).
fof(f10656,plain,
( ~ sQ81_spl
| ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f10012,f572]) ).
fof(f10657,plain,
( ~ sQ138_spl
| ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_5,e_3)
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f10012,f806]) ).
fof(f10658,plain,
( ~ sQ105_spl
| ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_1,e_3)
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f10012,f654]) ).
fof(f10659,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_3,e_3)
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f10012,f405]) ).
fof(f10660,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_4,e_3)
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f10012,f123]) ).
fof(f10661,plain,
( ~ sQ81_spl
| ~ sQ32_spl
| ~ sQ75_spl
| sQ183_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f10656,f669,f1272,f552,f404,f571]) ).
fof(f10662,plain,
( ~ sQ138_spl
| ~ sQ32_spl
| ~ sQ75_spl
| sQ187_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f10657,f446,f1432,f552,f404,f805]) ).
fof(f10663,plain,
( ~ sQ105_spl
| ~ sQ32_spl
| ~ sQ75_spl
| sQ162_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f10658,f825,f958,f552,f404,f653]) ).
fof(f10664,plain,
( ~ sQ32_spl
| sQ164_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f10659,f552,f966,f404]) ).
fof(f10665,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| sQ189_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f10660,f483,f1482,f552,f404]) ).
fof(f10666,plain,
( ~ sQ74_spl
| ~ sQ142_spl
| equalish(e_1,e_5)
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f3868,f544]) ).
fof(f10667,plain,
( ~ sQ74_spl
| ~ sQ142_spl
| sQ127_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f10666,f426,f757,f818,f543]) ).
fof(f10668,plain,
( ~ sQ81_spl
| ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_3,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f10013,f572]) ).
fof(f10669,plain,
( ~ sQ138_spl
| ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_3,e_5)
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f10013,f806]) ).
fof(f10670,plain,
( ~ sQ105_spl
| ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_3,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f10013,f654]) ).
fof(f10672,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f10013,f123]) ).
fof(f10673,plain,
( ~ sQ81_spl
| ~ sQ32_spl
| ~ sQ75_spl
| sQ182_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f10668,f669,f1268,f552,f404,f571]) ).
fof(f10674,plain,
( ~ sQ138_spl
| ~ sQ32_spl
| ~ sQ75_spl
| sQ165_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f10669,f446,f970,f552,f404,f805]) ).
fof(f10675,plain,
( ~ sQ105_spl
| ~ sQ32_spl
| ~ sQ75_spl
| sQ161_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f10670,f825,f954,f552,f404,f653]) ).
fof(f10677,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| sQ190_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f10672,f483,f1486,f552,f404]) ).
fof(f10678,plain,
( ~ sQ81_spl
| ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_3,e_5)
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f10014,f572]) ).
fof(f10679,plain,
( ~ sQ138_spl
| ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_1,e_5)
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f10014,f806]) ).
fof(f10680,plain,
( ~ sQ105_spl
| ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_2,e_5)
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f10014,f654]) ).
fof(f10681,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f10014,f405]) ).
fof(f10682,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_4,e_5)
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f10014,f123]) ).
fof(f10683,plain,
( ~ sQ81_spl
| ~ sQ32_spl
| ~ sQ75_spl
| sQ165_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f10678,f669,f970,f552,f404,f571]) ).
fof(f10684,plain,
( ~ sQ138_spl
| ~ sQ32_spl
| ~ sQ75_spl
| sQ127_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f10679,f446,f757,f552,f404,f805]) ).
fof(f10685,plain,
( ~ sQ105_spl
| ~ sQ32_spl
| ~ sQ75_spl
| sQ171_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f10680,f825,f1036,f552,f404,f653]) ).
fof(f10686,plain,
( ~ sQ32_spl
| sQ125_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f10681,f552,f749,f404]) ).
fof(f10687,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| sQ159_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f10682,f483,f904,f552,f404]) ).
fof(f10688,plain,
( ~ sQ75_spl
| ~ sQ142_spl
| equalish(e_5,e_3)
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f3870,f553]) ).
fof(f10689,plain,
( ~ sQ75_spl
| ~ sQ142_spl
| sQ187_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f10688,f391,f1432,f818,f552]) ).
fof(f10690,plain,
( ~ sQ74_spl
| ~ sQ142_spl
| equalish(e_4,e_5)
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f3874,f544]) ).
fof(f10691,plain,
( ~ sQ74_spl
| ~ sQ142_spl
| sQ159_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f10690,f426,f904,f818,f543]) ).
fof(f10695,plain,
! [X0,X1] :
( ~ sQ9_spl
| equalish(e_4,X1)
| ~ next(X0,X1)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f317,f64]) ).
fof(f10696,plain,
! [X0] :
( ~ sQ138_spl
| ~ sQ9_spl
| equalish(e_5,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f346,f806]) ).
fof(f10698,plain,
( ~ sQ81_spl
| ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f10015,f572]) ).
fof(f10700,plain,
( ~ sQ105_spl
| ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f10015,f654]) ).
fof(f10702,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f10015,f123]) ).
fof(f10703,plain,
( ~ sQ81_spl
| ~ sQ32_spl
| ~ sQ75_spl
| sQ187_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f10698,f669,f1432,f552,f404,f571]) ).
fof(f10705,plain,
( ~ sQ105_spl
| ~ sQ32_spl
| ~ sQ75_spl
| sQ176_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f10700,f825,f1153,f552,f404,f653]) ).
fof(f10707,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| sQ195_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f10702,f483,f1704,f552,f404]) ).
fof(f10708,plain,
( ~ sQ75_spl
| ~ sQ142_spl
| equalish(e_5,e_1)
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f3877,f553]) ).
fof(f10709,plain,
( ~ sQ75_spl
| ~ sQ142_spl
| sQ128_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f10708,f391,f761,f818,f552]) ).
fof(f10710,plain,
( ~ sQ114_spl
| ~ sQ105_spl
| ~ sQ61_spl
| equalish(e_2,e_5)
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f10143,f682]) ).
fof(f10711,plain,
( ~ sQ142_spl
| ~ sQ105_spl
| ~ sQ61_spl
| equalish(e_2,e_4)
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f10143,f819]) ).
fof(f10712,plain,
( ~ sQ35_spl
| ~ sQ105_spl
| ~ sQ61_spl
| equalish(e_2,e_1)
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f10143,f415]) ).
fof(f10714,plain,
( ~ sQ105_spl
| ~ sQ61_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f10143,f123]) ).
fof(f10715,plain,
( ~ sQ114_spl
| ~ sQ105_spl
| ~ sQ61_spl
| sQ171_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f10710,f430,f1036,f502,f653,f681]) ).
fof(f10716,plain,
( ~ sQ142_spl
| ~ sQ105_spl
| ~ sQ61_spl
| sQ180_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f10711,f531,f1214,f502,f653,f818]) ).
fof(f10717,plain,
( ~ sQ35_spl
| ~ sQ105_spl
| ~ sQ61_spl
| sQ167_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f10712,f777,f1020,f502,f653,f414]) ).
fof(f10719,plain,
( ~ sQ105_spl
| ~ sQ61_spl
| sQ183_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f10714,f584,f1272,f502,f653]) ).
fof(f10720,plain,
( ~ sQ114_spl
| ~ sQ105_spl
| ~ sQ61_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f10149,f682]) ).
fof(f10722,plain,
( ~ sQ35_spl
| ~ sQ105_spl
| ~ sQ61_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f10149,f415]) ).
fof(f10724,plain,
( ~ sQ105_spl
| ~ sQ61_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f10149,f123]) ).
fof(f10725,plain,
( ~ sQ114_spl
| ~ sQ105_spl
| ~ sQ61_spl
| sQ179_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f10720,f430,f1210,f502,f653,f681]) ).
fof(f10727,plain,
( ~ sQ35_spl
| ~ sQ105_spl
| ~ sQ61_spl
| sQ159_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f10722,f777,f904,f502,f653,f414]) ).
fof(f10729,plain,
( ~ sQ105_spl
| ~ sQ61_spl
| sQ189_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f10724,f584,f1482,f502,f653]) ).
fof(f10731,plain,
! [X0,X1] :
( ~ sQ74_spl
| ~ sQ142_spl
| equalish(e_4,X1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f3884,f544]) ).
fof(f10732,plain,
( ~ sQ18_spl
| ~ sQ11_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f10652,f61]) ).
fof(f10733,plain,
( ~ sQ18_spl
| ~ sQ11_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f10732,f1268,f224,f246]) ).
fof(f10740,plain,
( ~ sQ94_spl
| ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f10163,f613]) ).
fof(f10741,plain,
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f10163,f440]) ).
fof(f10744,plain,
( ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f10163,f123]) ).
fof(f10745,plain,
( ~ sQ94_spl
| ~ sQ98_spl
| ~ sQ146_spl
| sQ162_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f10740,f423,f958,f831,f625,f612]) ).
fof(f10746,plain,
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ146_spl
| sQ127_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f10741,f476,f757,f831,f625,f439]) ).
fof(f10749,plain,
( ~ sQ98_spl
| ~ sQ146_spl
| sQ168_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f10744,f694,f1024,f831,f625]) ).
fof(f10750,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ sQ142_spl
| equalish(X1,e_1)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f3886,f553]) ).
fof(f10751,plain,
( ~ sQ94_spl
| ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_3,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f10168,f613]) ).
fof(f10752,plain,
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_3,e_4)
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f10168,f440]) ).
fof(f10753,plain,
( ~ sQ65_spl
| ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_3,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f10168,f516]) ).
fof(f10755,plain,
( ~ sQ98_spl
| ~ sQ146_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f10168,f123]) ).
fof(f10756,plain,
( ~ sQ94_spl
| ~ sQ98_spl
| ~ sQ146_spl
| sQ165_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f10751,f423,f970,f831,f625,f612]) ).
fof(f10757,plain,
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ146_spl
| sQ190_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f10752,f476,f1486,f831,f625,f439]) ).
fof(f10758,plain,
( ~ sQ65_spl
| ~ sQ98_spl
| ~ sQ146_spl
| sQ161_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f10753,f802,f954,f831,f625,f515]) ).
fof(f10760,plain,
( ~ sQ98_spl
| ~ sQ146_spl
| sQ182_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f10755,f694,f1268,f831,f625]) ).
fof(f10761,plain,
( ~ sQ94_spl
| ~ sQ65_spl
| ~ sQ138_spl
| equalish(e_5,e_1)
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f10184,f613]) ).
fof(f10762,plain,
( ~ sQ43_spl
| ~ sQ65_spl
| ~ sQ138_spl
| equalish(e_4,e_1)
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f10184,f440]) ).
fof(f10763,plain,
( ~ sQ65_spl
| ~ sQ138_spl
| equalish(e_1,e_1)
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f10184,f516]) ).
fof(f10764,plain,
( ~ sQ146_spl
| ~ sQ65_spl
| ~ sQ138_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f10184,f832]) ).
fof(f10766,plain,
( ~ sQ94_spl
| ~ sQ65_spl
| ~ sQ138_spl
| sQ128_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f10761,f426,f761,f805,f515,f612]) ).
fof(f10767,plain,
( ~ sQ43_spl
| ~ sQ65_spl
| ~ sQ138_spl
| sQ155_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f10762,f479,f888,f805,f515,f439]) ).
fof(f10768,plain,
( ~ sQ65_spl
| sQ173_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f10763,f805,f1093,f515]) ).
fof(f10769,plain,
( ~ sQ146_spl
| ~ sQ65_spl
| ~ sQ138_spl
| sQ161_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f10764,f628,f954,f805,f515,f831]) ).
fof(f10772,plain,
! [X0,X1] :
( ~ sQ74_spl
| ~ sQ142_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f3890,f544]) ).
fof(f10779,plain,
( ~ sQ94_spl
| ~ sQ65_spl
| ~ sQ138_spl
| equalish(e_3,e_4)
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f10185,f613]) ).
fof(f10780,plain,
( ~ sQ43_spl
| ~ sQ65_spl
| ~ sQ138_spl
| equalish(e_5,e_4)
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f10185,f440]) ).
fof(f10781,plain,
( ~ sQ65_spl
| ~ sQ138_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f10185,f516]) ).
fof(f10782,plain,
( ~ sQ146_spl
| ~ sQ65_spl
| ~ sQ138_spl
| equalish(e_1,e_4)
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f10185,f832]) ).
fof(f10784,plain,
( ~ sQ94_spl
| ~ sQ65_spl
| ~ sQ138_spl
| sQ190_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f10779,f426,f1486,f805,f515,f612]) ).
fof(f10785,plain,
( ~ sQ43_spl
| ~ sQ65_spl
| ~ sQ138_spl
| sQ195_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f10780,f479,f1704,f805,f515,f439]) ).
fof(f10786,plain,
( ~ sQ65_spl
| sQ158_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f10781,f805,f900,f515]) ).
fof(f10787,plain,
( ~ sQ146_spl
| ~ sQ65_spl
| ~ sQ138_spl
| sQ156_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f10782,f628,f892,f805,f515,f831]) ).
fof(f10789,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ sQ142_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f3892,f553]) ).
fof(f10790,plain,
( ~ sQ81_spl
| ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f10186,f572]) ).
fof(f10793,plain,
( ~ sQ32_spl
| ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f10186,f405]) ).
fof(f10794,plain,
( ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f10186,f123]) ).
fof(f10795,plain,
( ~ sQ81_spl
| ~ sQ46_spl
| ~ sQ138_spl
| sQ162_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f10790,f672,f958,f805,f449,f571]) ).
fof(f10798,plain,
( ~ sQ32_spl
| ~ sQ46_spl
| ~ sQ138_spl
| sQ127_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f10793,f555,f757,f805,f449,f404]) ).
fof(f10799,plain,
( ~ sQ46_spl
| ~ sQ138_spl
| sQ156_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f10794,f486,f892,f805,f449]) ).
fof(f10800,plain,
( ~ sQ81_spl
| ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_5,e_2)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f10191,f572]) ).
fof(f10802,plain,
( ~ sQ105_spl
| ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_5,e_1)
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f10191,f654]) ).
fof(f10803,plain,
( ~ sQ32_spl
| ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_5,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f10191,f405]) ).
fof(f10804,plain,
( ~ sQ46_spl
| ~ sQ138_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f10191,f123]) ).
fof(f10805,plain,
( ~ sQ81_spl
| ~ sQ46_spl
| ~ sQ138_spl
| sQ176_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f10800,f672,f1153,f805,f449,f571]) ).
fof(f10807,plain,
( ~ sQ105_spl
| ~ sQ46_spl
| ~ sQ138_spl
| sQ128_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f10802,f828,f761,f805,f449,f653]) ).
fof(f10808,plain,
( ~ sQ32_spl
| ~ sQ46_spl
| ~ sQ138_spl
| sQ187_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f10803,f555,f1432,f805,f449,f404]) ).
fof(f10809,plain,
( ~ sQ46_spl
| ~ sQ138_spl
| sQ195_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f10804,f486,f1704,f805,f449]) ).
fof(f10810,plain,
( ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_1,e_3)
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f9728,f708]) ).
fof(f10811,plain,
( ~ sQ122_spl
| ~ sQ130_spl
| sQ162_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f10810,f558,f958,f780,f707]) ).
fof(f10812,plain,
( ~ sQ35_spl
| ~ sQ130_spl
| equalish(e_3,e_5)
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f9730,f415]) ).
fof(f10813,plain,
( ~ sQ35_spl
| ~ sQ130_spl
| sQ165_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f10812,f587,f970,f780,f414]) ).
fof(f10815,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_4,X0)
| ~ next(e_0,X0) ),
inference(resolution,[status(thm)],[f10695,f83]) ).
fof(f10816,plain,
( ~ sQ9_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f10815,f60]) ).
fof(f10817,plain,
( ~ sQ9_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f10816,f888,f217]) ).
fof(f10821,plain,
( ~ sQ94_spl
| ~ sQ138_spl
| ~ sQ65_spl
| equalish(e_1,e_5)
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f10215,f613]) ).
fof(f10822,plain,
( ~ sQ43_spl
| ~ sQ138_spl
| ~ sQ65_spl
| equalish(e_1,e_4)
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f10215,f440]) ).
fof(f10824,plain,
( ~ sQ146_spl
| ~ sQ138_spl
| ~ sQ65_spl
| equalish(e_1,e_3)
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f10215,f832]) ).
fof(f10825,plain,
( ~ sQ138_spl
| ~ sQ65_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f10215,f123]) ).
fof(f10826,plain,
( ~ sQ94_spl
| ~ sQ138_spl
| ~ sQ65_spl
| sQ127_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f10821,f426,f757,f515,f805,f612]) ).
fof(f10827,plain,
( ~ sQ43_spl
| ~ sQ138_spl
| ~ sQ65_spl
| sQ156_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f10822,f479,f892,f515,f805,f439]) ).
fof(f10829,plain,
( ~ sQ146_spl
| ~ sQ138_spl
| ~ sQ65_spl
| sQ162_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f10824,f628,f958,f515,f805,f831]) ).
fof(f10830,plain,
( ~ sQ138_spl
| ~ sQ65_spl
| sQ168_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f10825,f697,f1024,f515,f805]) ).
fof(f10831,plain,
( ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_2,e_3)
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f9734,f708]) ).
fof(f10832,plain,
( ~ sQ122_spl
| ~ sQ130_spl
| sQ183_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f10831,f558,f1272,f780,f707]) ).
fof(f10833,plain,
( ~ sQ94_spl
| ~ sQ138_spl
| ~ sQ65_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f10221,f613]) ).
fof(f10836,plain,
( ~ sQ146_spl
| ~ sQ138_spl
| ~ sQ65_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f10221,f832]) ).
fof(f10837,plain,
( ~ sQ138_spl
| ~ sQ65_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f10221,f123]) ).
fof(f10838,plain,
( ~ sQ94_spl
| ~ sQ138_spl
| ~ sQ65_spl
| sQ189_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f10833,f426,f1482,f515,f805,f612]) ).
fof(f10841,plain,
( ~ sQ146_spl
| ~ sQ138_spl
| ~ sQ65_spl
| sQ155_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f10836,f628,f888,f515,f805,f831]) ).
fof(f10842,plain,
( ~ sQ138_spl
| ~ sQ65_spl
| sQ179_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f10837,f697,f1210,f515,f805]) ).
fof(f10843,plain,
( ~ sQ114_spl
| ~ sQ130_spl
| ~ sQ35_spl
| equalish(e_5,e_1)
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f10264,f682]) ).
fof(f10844,plain,
( ~ sQ142_spl
| ~ sQ130_spl
| ~ sQ35_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f10264,f819]) ).
fof(f10845,plain,
( ~ sQ35_spl
| ~ sQ130_spl
| equalish(e_1,e_1)
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f10264,f415]) ).
fof(f10846,plain,
( ~ sQ61_spl
| ~ sQ130_spl
| ~ sQ35_spl
| equalish(e_2,e_1)
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f10264,f503]) ).
fof(f10847,plain,
( ~ sQ130_spl
| ~ sQ35_spl
| equalish(e_3,e_1)
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f10264,f123]) ).
fof(f10848,plain,
( ~ sQ114_spl
| ~ sQ130_spl
| ~ sQ35_spl
| sQ128_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f10843,f433,f761,f414,f780,f681]) ).
fof(f10849,plain,
( ~ sQ142_spl
| ~ sQ130_spl
| ~ sQ35_spl
| sQ155_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f10844,f534,f888,f414,f780,f818]) ).
fof(f10850,plain,
( ~ sQ35_spl
| sQ173_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f10845,f780,f1093,f414]) ).
fof(f10851,plain,
( ~ sQ61_spl
| ~ sQ130_spl
| ~ sQ35_spl
| sQ167_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f10846,f656,f1020,f414,f780,f502]) ).
fof(f10852,plain,
( ~ sQ130_spl
| ~ sQ35_spl
| sQ161_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f10847,f587,f954,f414,f780]) ).
fof(f10855,plain,
! [X0,X1] :
( ~ sQ122_spl
| ~ sQ130_spl
| equalish(X1,e_2)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f9742,f708]) ).
fof(f10863,plain,
( ~ sQ114_spl
| ~ sQ130_spl
| ~ sQ35_spl
| equalish(e_1,e_5)
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f10265,f682]) ).
fof(f10864,plain,
( ~ sQ142_spl
| ~ sQ130_spl
| ~ sQ35_spl
| equalish(e_1,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f10265,f819]) ).
fof(f10866,plain,
( ~ sQ61_spl
| ~ sQ130_spl
| ~ sQ35_spl
| equalish(e_1,e_2)
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f10265,f503]) ).
fof(f10867,plain,
( ~ sQ130_spl
| ~ sQ35_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f10265,f123]) ).
fof(f10868,plain,
( ~ sQ114_spl
| ~ sQ130_spl
| ~ sQ35_spl
| sQ127_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f10863,f433,f757,f414,f780,f681]) ).
fof(f10869,plain,
( ~ sQ142_spl
| ~ sQ130_spl
| ~ sQ35_spl
| sQ156_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f10864,f534,f892,f414,f780,f818]) ).
fof(f10871,plain,
( ~ sQ61_spl
| ~ sQ130_spl
| ~ sQ35_spl
| sQ168_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f10866,f656,f1024,f414,f780,f502]) ).
fof(f10872,plain,
( ~ sQ130_spl
| ~ sQ35_spl
| sQ162_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f10867,f587,f958,f414,f780]) ).
fof(f10873,plain,
! [X0,X1] :
( ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_2,X1)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f9744,f708]) ).
fof(f10874,plain,
( ~ sQ94_spl
| ~ sQ35_spl
| equalish(e_5,e_5)
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f10284,f613]) ).
fof(f10875,plain,
( ~ sQ43_spl
| ~ sQ94_spl
| ~ sQ35_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f10284,f440]) ).
fof(f10876,plain,
( ~ sQ65_spl
| ~ sQ94_spl
| ~ sQ35_spl
| equalish(e_1,e_5)
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f10284,f516]) ).
fof(f10877,plain,
( ~ sQ146_spl
| ~ sQ94_spl
| ~ sQ35_spl
| equalish(e_3,e_5)
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f10284,f832]) ).
fof(f10879,plain,
( ~ sQ94_spl
| sQ125_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f10874,f414,f749,f612]) ).
fof(f10880,plain,
( ~ sQ43_spl
| ~ sQ94_spl
| ~ sQ35_spl
| sQ159_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f10875,f467,f904,f414,f612,f439]) ).
fof(f10881,plain,
( ~ sQ65_spl
| ~ sQ94_spl
| ~ sQ35_spl
| sQ127_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f10876,f793,f757,f414,f612,f515]) ).
fof(f10882,plain,
( ~ sQ146_spl
| ~ sQ94_spl
| ~ sQ35_spl
| sQ165_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f10877,f616,f970,f414,f612,f831]) ).
fof(f10884,plain,
( ~ sQ114_spl
| ~ sQ130_spl
| ~ sQ35_spl
| equalish(e_2,e_5)
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f10305,f682]) ).
fof(f10885,plain,
( ~ sQ142_spl
| ~ sQ130_spl
| ~ sQ35_spl
| equalish(e_1,e_5)
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f10305,f819]) ).
fof(f10886,plain,
( ~ sQ35_spl
| ~ sQ130_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f10305,f415]) ).
fof(f10887,plain,
( ~ sQ61_spl
| ~ sQ130_spl
| ~ sQ35_spl
| equalish(e_4,e_5)
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f10305,f503]) ).
fof(f10889,plain,
( ~ sQ114_spl
| ~ sQ130_spl
| ~ sQ35_spl
| sQ171_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f10884,f433,f1036,f414,f780,f681]) ).
fof(f10890,plain,
( ~ sQ142_spl
| ~ sQ130_spl
| ~ sQ35_spl
| sQ127_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f10885,f534,f757,f414,f780,f818]) ).
fof(f10891,plain,
( ~ sQ35_spl
| sQ125_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f10886,f780,f749,f414]) ).
fof(f10892,plain,
( ~ sQ61_spl
| ~ sQ130_spl
| ~ sQ35_spl
| sQ159_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f10887,f656,f904,f414,f780,f502]) ).
fof(f10895,plain,
! [X0,X1] :
( ~ sQ122_spl
| ~ sQ130_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f9748,f708]) ).
fof(f10903,plain,
( ~ sQ142_spl
| ~ sQ130_spl
| ~ sQ35_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f10306,f819]) ).
fof(f10905,plain,
( ~ sQ61_spl
| ~ sQ130_spl
| ~ sQ35_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f10306,f503]) ).
fof(f10906,plain,
( ~ sQ130_spl
| ~ sQ35_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f10306,f123]) ).
fof(f10908,plain,
( ~ sQ142_spl
| ~ sQ130_spl
| ~ sQ35_spl
| sQ128_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f10903,f534,f761,f414,f780,f818]) ).
fof(f10910,plain,
( ~ sQ61_spl
| ~ sQ130_spl
| ~ sQ35_spl
| sQ195_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f10905,f656,f1704,f414,f780,f502]) ).
fof(f10911,plain,
( ~ sQ130_spl
| ~ sQ35_spl
| sQ187_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f10906,f587,f1432,f414,f780]) ).
fof(f10912,plain,
! [X0,X1] :
( ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f9750,f708]) ).
fof(f10913,plain,
( ~ sQ94_spl
| ~ sQ35_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f10316,f613]) ).
fof(f10914,plain,
( ~ sQ43_spl
| ~ sQ94_spl
| ~ sQ35_spl
| equalish(e_5,e_3)
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f10316,f440]) ).
fof(f10915,plain,
( ~ sQ65_spl
| ~ sQ94_spl
| ~ sQ35_spl
| equalish(e_4,e_3)
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f10316,f516]) ).
fof(f10916,plain,
( ~ sQ146_spl
| ~ sQ94_spl
| ~ sQ35_spl
| equalish(e_1,e_3)
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f10316,f832]) ).
fof(f10918,plain,
( ~ sQ94_spl
| sQ164_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f10913,f414,f966,f612]) ).
fof(f10919,plain,
( ~ sQ43_spl
| ~ sQ94_spl
| ~ sQ35_spl
| sQ187_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f10914,f467,f1432,f414,f612,f439]) ).
fof(f10920,plain,
( ~ sQ65_spl
| ~ sQ94_spl
| ~ sQ35_spl
| sQ189_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f10915,f793,f1482,f414,f612,f515]) ).
fof(f10921,plain,
( ~ sQ146_spl
| ~ sQ94_spl
| ~ sQ35_spl
| sQ162_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f10916,f616,f958,f414,f612,f831]) ).
fof(f10927,plain,
( ~ sQ252_spl
| ~ sQ40_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f431,f3848]) ).
fof(f10928,plain,
( ~ sQ284_spl
| ~ sQ40_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f431,f7985]) ).
fof(f11004,plain,
( ~ sQ185_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f1380,f123]) ).
fof(f11007,plain,
! [X0,X1] :
( ~ sQ103_spl
| ~ sQ67_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f522,f4751]) ).
fof(f11009,plain,
! [X0,X1] :
( ~ sQ103_spl
| ~ sQ67_spl
| equalish(e_4,X1)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f522,f4745]) ).
fof(f11011,plain,
( ~ sQ103_spl
| ~ sQ67_spl
| equalish(e_4,e_3)
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f522,f4735]) ).
fof(f11013,plain,
( ~ sQ282_spl
| ~ sQ67_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f522,f7883]) ).
fof(f11014,plain,
( ~ sQ264_spl
| ~ sQ67_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f522,f4757]) ).
fof(f11040,plain,
( ~ sQ103_spl
| ~ sQ67_spl
| sQ189_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f11011,f558,f1482,f521,f646]) ).
fof(f11054,plain,
( ~ sQ285_spl
| ~ sQ60_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f500,f8234]) ).
fof(f11055,plain,
( ~ sQ283_spl
| ~ sQ60_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f500,f7931]) ).
fof(f11093,plain,
( ~ sQ259_spl
| ~ sQ106_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f657,f4200]) ).
fof(f11094,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ106_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f657,f10015]) ).
fof(f11095,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ106_spl
| equalish(e_2,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f657,f10014]) ).
fof(f11096,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ106_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f657,f10013]) ).
fof(f11097,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ106_spl
| equalish(e_2,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f657,f10012]) ).
fof(f11098,plain,
( ~ sQ106_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f657,f144]) ).
fof(f11099,plain,
! [X0,X1] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f657,f144]) ).
fof(f11101,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f657,f144]) ).
fof(f11104,plain,
( ~ sQ106_spl
| equalish(e_2,e_4)
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f657,f167]) ).
fof(f11105,plain,
( ~ sQ106_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f657,f160]) ).
fof(f11106,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f657,f140]) ).
fof(f11109,plain,
! [X0,X1] :
( ~ sQ106_spl
| equalish(X1,e_2)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f657,f138]) ).
fof(f11112,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f657,f122]) ).
fof(f11113,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f657,f136]) ).
fof(f11114,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,X0,e_2) ),
inference(resolution,[status(thm)],[f657,f136]) ).
fof(f11116,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f657,f120]) ).
fof(f11117,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f657,f118]) ).
fof(f11118,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f657,f127]) ).
fof(f11119,plain,
! [X0,X1,X2] :
( ~ sQ106_spl
| equalish(X1,e_2)
| ~ product(e_4,X0,X1)
| ~ product(e_2,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f657,f127]) ).
fof(f11121,plain,
! [X0,X1,X2] :
( ~ sQ106_spl
| equalish(e_2,X2)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f657,f127]) ).
fof(f11123,plain,
! [X0,X1,X2] :
( ~ sQ106_spl
| equalish(X1,e_2)
| ~ product(X2,e_4,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f657,f127]) ).
fof(f11125,plain,
! [X0,X1,X2] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,X1)
| ~ product(e_2,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f657,f125]) ).
fof(f11126,plain,
( ~ sQ106_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_4,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f657,f125]) ).
fof(f11127,plain,
! [X0,X1,X2] :
( ~ sQ106_spl
| equalish(e_2,X1)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f657,f125]) ).
fof(f11129,plain,
! [X0,X1,X2] :
( ~ sQ106_spl
| equalish(X0,e_4)
| ~ product(X2,e_4,e_2)
| ~ product(X2,X0,X1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f657,f125]) ).
fof(f11130,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ106_spl
| sQ176_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f11094,f685,f1153,f656,f552,f404]) ).
fof(f11131,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ106_spl
| sQ171_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f11095,f685,f1036,f656,f552,f404]) ).
fof(f11132,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ106_spl
| sQ182_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f11096,f685,f1268,f656,f552,f404]) ).
fof(f11133,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ106_spl
| sQ183_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f11097,f685,f1272,f656,f552,f404]) ).
fof(f11134,plain,
( ~ sQ106_spl
| sQ170_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f11098,f688,f1032,f656]) ).
fof(f11137,plain,
( ~ sQ106_spl
| sQ180_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f11104,f694,f1214,f656]) ).
fof(f11138,plain,
( ~ sQ106_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f11105,f1210,f656]) ).
fof(f11139,plain,
( ~ sQ106_spl
| sQ180_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f11106,f2224,f1214,f656]) ).
fof(f11143,plain,
( ~ sQ106_spl
| sQ179_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f11113,f2224,f1210,f656]) ).
fof(f11145,plain,
( ~ sQ106_spl
| sQ170_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f11118,f3247,f1032,f656]) ).
fof(f11149,plain,
( ~ sQ106_spl
| sQ180_spl
| ~ sQ56_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f11126,f688,f486,f1214,f656]) ).
fof(f11189,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ135_spl
| equalish(e_2,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f797,f367]) ).
fof(f11190,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ135_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f797,f10015]) ).
fof(f11191,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ135_spl
| equalish(e_1,e_5)
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f797,f10014]) ).
fof(f11192,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ135_spl
| equalish(e_3,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f797,f10013]) ).
fof(f11193,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ135_spl
| equalish(e_2,e_3)
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f797,f10012]) ).
fof(f11220,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ135_spl
| sQ128_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f11190,f701,f761,f796,f552,f404]) ).
fof(f11221,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ135_spl
| sQ127_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f11191,f701,f757,f796,f552,f404]) ).
fof(f11222,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ135_spl
| sQ182_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f11192,f701,f1268,f796,f552,f404]) ).
fof(f11223,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ135_spl
| sQ183_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f11193,f701,f1272,f796,f552,f404]) ).
fof(f11237,plain,
( ~ sQ212_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f2272,f123]) ).
fof(f11244,plain,
( ~ sQ287_spl
| ~ sQ84_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f581,f9562]) ).
fof(f11245,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ84_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f581,f10015]) ).
fof(f11246,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ84_spl
| equalish(e_3,e_5)
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f581,f10014]) ).
fof(f11274,plain,
( ~ sQ287_spl
| ~ sQ84_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f11244,f394,f580,f9561]) ).
fof(f11275,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ84_spl
| sQ187_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f11245,f414,f1432,f580,f552,f404]) ).
fof(f11276,plain,
( ~ sQ32_spl
| ~ sQ75_spl
| ~ sQ84_spl
| sQ165_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f11246,f414,f970,f580,f552,f404]) ).
fof(f11291,plain,
( ~ sQ281_spl
| ~ sQ93_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f610,f7831]) ).
fof(f11292,plain,
( ~ sQ276_spl
| ~ sQ93_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f610,f6514]) ).
fof(f11318,plain,
( ~ sQ276_spl
| ~ sQ93_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f11292,f492,f609,f6513]) ).
fof(f11331,plain,
( ~ sQ245_spl
| ~ sQ48_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f456,f3356]) ).
fof(f11332,plain,
( ~ sQ32_spl
| ~ sQ74_spl
| ~ sQ48_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f456,f6033]) ).
fof(f11333,plain,
( ~ sQ32_spl
| ~ sQ74_spl
| ~ sQ48_spl
| equalish(e_5,e_4)
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f456,f5875]) ).
fof(f11361,plain,
( ~ sQ32_spl
| ~ sQ74_spl
| ~ sQ48_spl
| sQ159_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f11332,f473,f904,f455,f543,f404]) ).
fof(f11362,plain,
( ~ sQ32_spl
| ~ sQ74_spl
| ~ sQ48_spl
| sQ195_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f11333,f473,f1704,f455,f543,f404]) ).
fof(f11426,plain,
( ~ sQ245_spl
| ~ sQ46_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f450,f3356]) ).
fof(f11479,plain,
( ~ sQ267_spl
| ~ sQ98_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f626,f5469]) ).
fof(f11573,plain,
( ~ sQ261_spl
| ~ sQ146_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f832,f4293]) ).
fof(f11611,plain,
( ~ sQ285_spl
| ~ sQ61_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f503,f8234]) ).
fof(f11612,plain,
( ~ sQ283_spl
| ~ sQ61_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f503,f7931]) ).
fof(f11656,plain,
( ~ sQ282_spl
| ~ sQ65_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f516,f7883]) ).
fof(f11657,plain,
( ~ sQ264_spl
| ~ sQ65_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f516,f4757]) ).
fof(f11703,plain,
( ~ sQ281_spl
| ~ sQ94_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f613,f7831]) ).
fof(f11743,plain,
( ~ sQ279_spl
| ~ sQ35_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f415,f7243]) ).
fof(f11781,plain,
( ~ sQ166_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f1015,f123]) ).
fof(f11787,plain,
( ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_5,e_2)
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f781,f3162]) ).
fof(f11788,plain,
( ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_5,e_1)
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f781,f3155]) ).
fof(f11814,plain,
( ~ sQ122_spl
| ~ sQ130_spl
| sQ176_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f11787,f388,f1153,f780,f707]) ).
fof(f11815,plain,
( ~ sQ122_spl
| ~ sQ130_spl
| sQ128_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f11788,f388,f761,f780,f707]) ).
fof(f11828,plain,
( ~ sQ114_spl
| ~ sQ43_spl
| equalish(e_5,e_4)
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f440,f3828]) ).
fof(f11829,plain,
( ~ sQ114_spl
| ~ sQ43_spl
| equalish(e_2,e_4)
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f440,f3822]) ).
fof(f11830,plain,
( ~ sQ252_spl
| ~ sQ43_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f440,f3848]) ).
fof(f11831,plain,
( ~ sQ284_spl
| ~ sQ43_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f440,f7985]) ).
fof(f11857,plain,
( ~ sQ114_spl
| ~ sQ43_spl
| sQ195_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f11828,f508,f1704,f439,f681]) ).
fof(f11858,plain,
( ~ sQ114_spl
| ~ sQ43_spl
| sQ180_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f11829,f508,f1214,f439,f681]) ).
fof(f11875,plain,
( ~ sQ114_spl
| ~ sQ81_spl
| equalish(e_4,e_3)
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f572,f3824]) ).
fof(f11905,plain,
( ~ sQ114_spl
| ~ sQ81_spl
| sQ189_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f11875,f495,f1482,f571,f681]) ).
fof(f11956,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| equalish(e_4,e_2)
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f3831,f572]) ).
fof(f11957,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| sQ179_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f11956,f495,f1210,f681,f571]) ).
fof(f11961,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ114_spl
| equalish(e_5,X1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f3838,f440]) ).
fof(f11962,plain,
( ~ sQ214_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f2356,f123]) ).
fof(f11963,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ114_spl
| equalish(X1,e_2)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f3840,f572]) ).
fof(f11967,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ114_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f3844,f440]) ).
fof(f11968,plain,
( ~ sQ218_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f2533,f123]) ).
fof(f11969,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ114_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f3846,f572]) ).
fof(f11982,plain,
( ~ sQ178_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1205,f123]) ).
fof(f11986,plain,
! [X0,X1] :
( ~ sQ142_spl
| ~ sQ75_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f3400,f819]) ).
fof(f11991,plain,
! [X0,X1] :
( ~ sQ142_spl
| ~ sQ75_spl
| equalish(e_1,X1)
| ~ product(e_5,X0,X1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f3394,f819]) ).
fof(f11993,plain,
( ~ sQ142_spl
| ~ sQ75_spl
| equalish(e_1,e_4)
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f3384,f819]) ).
fof(f11994,plain,
( ~ sQ142_spl
| ~ sQ75_spl
| sQ156_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f11993,f476,f892,f552,f818]) ).
fof(f11995,plain,
( ~ sQ230_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f2868,f123]) ).
fof(f11996,plain,
( ~ sQ142_spl
| ~ sQ75_spl
| equalish(e_3,e_4)
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f3378,f819]) ).
fof(f11997,plain,
( ~ sQ142_spl
| ~ sQ75_spl
| sQ190_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f11996,f476,f1486,f552,f818]) ).
fof(f12007,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ11_spl
| equalish(e_1,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f4864,f209]) ).
fof(f12008,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_1,X0)
| ~ next(e_0,X0) ),
inference(resolution,[status(thm)],[f10112,f83]) ).
fof(f12011,plain,
( ~ sQ193_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1634,f123]) ).
fof(f12018,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f12007,f61]) ).
fof(f12019,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f12018,f1024,f224,f208]) ).
fof(f12026,plain,
( ~ sQ222_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f2660,f123]) ).
fof(f12039,plain,
( ~ sQ81_spl
| ~ sQ287_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f9562,f572]) ).
fof(f12052,plain,
( ~ sQ46_spl
| ~ sQ272_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f6015,f450]) ).
fof(f12068,plain,
( ~ sQ35_spl
| ~ sQ142_spl
| ~ sQ74_spl
| equalish(e_1,e_4)
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f10441,f415]) ).
fof(f12069,plain,
( ~ sQ61_spl
| ~ sQ142_spl
| ~ sQ74_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f10441,f503]) ).
fof(f12070,plain,
( ~ sQ114_spl
| ~ sQ142_spl
| ~ sQ74_spl
| equalish(e_5,e_4)
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f10441,f682]) ).
fof(f12071,plain,
( ~ sQ142_spl
| ~ sQ74_spl
| equalish(e_4,e_4)
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f10441,f819]) ).
fof(f12073,plain,
( ~ sQ35_spl
| ~ sQ142_spl
| ~ sQ74_spl
| sQ156_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f12068,f789,f892,f543,f818,f414]) ).
fof(f12074,plain,
( ~ sQ61_spl
| ~ sQ142_spl
| ~ sQ74_spl
| sQ180_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f12069,f665,f1214,f543,f818,f502]) ).
fof(f12075,plain,
( ~ sQ114_spl
| ~ sQ142_spl
| ~ sQ74_spl
| sQ195_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f12070,f442,f1704,f543,f818,f681]) ).
fof(f12076,plain,
( ~ sQ142_spl
| sQ158_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f12071,f543,f900,f818]) ).
fof(f12084,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ19_spl
| equalish(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f8412,f228]) ).
fof(f12085,plain,
( ~ sQ12_spl
| ~ sQ19_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f12084,f62]) ).
fof(f12086,plain,
( ~ sQ12_spl
| ~ sQ19_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f12085,f1482,f249,f227]) ).
fof(f12091,plain,
( ~ sQ35_spl
| ~ sQ142_spl
| ~ sQ74_spl
| equalish(e_5,e_1)
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f10447,f415]) ).
fof(f12092,plain,
( ~ sQ61_spl
| ~ sQ142_spl
| ~ sQ74_spl
| equalish(e_4,e_1)
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f10447,f503]) ).
fof(f12093,plain,
( ~ sQ114_spl
| ~ sQ142_spl
| ~ sQ74_spl
| equalish(e_2,e_1)
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f10447,f682]) ).
fof(f12094,plain,
( ~ sQ142_spl
| ~ sQ74_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f10447,f819]) ).
fof(f12096,plain,
( ~ sQ35_spl
| ~ sQ142_spl
| ~ sQ74_spl
| sQ128_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f12091,f789,f761,f543,f818,f414]) ).
fof(f12097,plain,
( ~ sQ61_spl
| ~ sQ142_spl
| ~ sQ74_spl
| sQ155_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f12092,f665,f888,f543,f818,f502]) ).
fof(f12098,plain,
( ~ sQ114_spl
| ~ sQ142_spl
| ~ sQ74_spl
| sQ167_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f12093,f442,f1020,f543,f818,f681]) ).
fof(f12099,plain,
( ~ sQ142_spl
| sQ173_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f12094,f543,f1093,f818]) ).
fof(f12102,plain,
( ~ sQ35_spl
| ~ sQ74_spl
| ~ sQ142_spl
| equalish(e_4,e_1)
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f10731,f415]) ).
fof(f12103,plain,
( ~ sQ61_spl
| ~ sQ74_spl
| ~ sQ142_spl
| equalish(e_4,e_2)
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f10731,f503]) ).
fof(f12104,plain,
( ~ sQ114_spl
| ~ sQ74_spl
| ~ sQ142_spl
| equalish(e_4,e_5)
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f10731,f682]) ).
fof(f12106,plain,
( ~ sQ74_spl
| ~ sQ142_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f10731,f123]) ).
fof(f12107,plain,
( ~ sQ35_spl
| ~ sQ74_spl
| ~ sQ142_spl
| sQ155_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f12102,f789,f888,f818,f543,f414]) ).
fof(f12108,plain,
( ~ sQ61_spl
| ~ sQ74_spl
| ~ sQ142_spl
| sQ179_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f12103,f665,f1210,f818,f543,f502]) ).
fof(f12109,plain,
( ~ sQ114_spl
| ~ sQ74_spl
| ~ sQ142_spl
| sQ159_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f12104,f442,f904,f818,f543,f681]) ).
fof(f12111,plain,
( ~ sQ74_spl
| ~ sQ142_spl
| sQ189_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f12106,f596,f1482,f818,f543]) ).
fof(f12112,plain,
( ~ sQ52_spl
| ~ sQ75_spl
| ~ sQ142_spl
| equalish(e_3,e_1)
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f10750,f474]) ).
fof(f12113,plain,
( ~ sQ130_spl
| ~ sQ75_spl
| ~ sQ142_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f10750,f781]) ).
fof(f12114,plain,
( ~ sQ75_spl
| ~ sQ142_spl
| equalish(e_1,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f10750,f553]) ).
fof(f12115,plain,
( ~ sQ103_spl
| ~ sQ75_spl
| ~ sQ142_spl
| equalish(e_4,e_1)
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f10750,f647]) ).
fof(f12117,plain,
( ~ sQ52_spl
| ~ sQ75_spl
| ~ sQ142_spl
| sQ161_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f12112,f577,f954,f818,f552,f473]) ).
fof(f12118,plain,
( ~ sQ130_spl
| ~ sQ75_spl
| ~ sQ142_spl
| sQ167_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f12113,f710,f1020,f818,f552,f780]) ).
fof(f12119,plain,
( ~ sQ75_spl
| sQ173_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f12114,f818,f1093,f552]) ).
fof(f12120,plain,
( ~ sQ103_spl
| ~ sQ75_spl
| ~ sQ142_spl
| sQ155_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f12115,f524,f888,f818,f552,f646]) ).
fof(f12127,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ12_spl
| equalish(e_2,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f10572,f209]) ).
fof(f12134,plain,
( ~ sQ61_spl
| ~ sQ74_spl
| ~ sQ142_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f10772,f503]) ).
fof(f12135,plain,
( ~ sQ114_spl
| ~ sQ74_spl
| ~ sQ142_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f10772,f682]) ).
fof(f12137,plain,
( ~ sQ74_spl
| ~ sQ142_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f10772,f123]) ).
fof(f12139,plain,
( ~ sQ61_spl
| ~ sQ74_spl
| ~ sQ142_spl
| sQ156_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f12134,f665,f892,f818,f543,f502]) ).
fof(f12140,plain,
( ~ sQ114_spl
| ~ sQ74_spl
| ~ sQ142_spl
| sQ168_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f12135,f442,f1024,f818,f543,f681]) ).
fof(f12142,plain,
( ~ sQ74_spl
| ~ sQ142_spl
| sQ162_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f12137,f596,f958,f818,f543]) ).
fof(f12145,plain,
( ~ sQ52_spl
| ~ sQ75_spl
| ~ sQ142_spl
| equalish(e_4,e_3)
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f10789,f474]) ).
fof(f12146,plain,
( ~ sQ130_spl
| ~ sQ75_spl
| ~ sQ142_spl
| equalish(e_1,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f10789,f781]) ).
fof(f12147,plain,
( ~ sQ75_spl
| ~ sQ142_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f10789,f553]) ).
fof(f12148,plain,
( ~ sQ103_spl
| ~ sQ75_spl
| ~ sQ142_spl
| equalish(e_2,e_3)
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f10789,f647]) ).
fof(f12150,plain,
( ~ sQ52_spl
| ~ sQ75_spl
| ~ sQ142_spl
| sQ189_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f12145,f577,f1482,f818,f552,f473]) ).
fof(f12151,plain,
( ~ sQ130_spl
| ~ sQ75_spl
| ~ sQ142_spl
| sQ162_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f12146,f710,f958,f818,f552,f780]) ).
fof(f12152,plain,
( ~ sQ75_spl
| sQ164_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f12147,f818,f966,f552]) ).
fof(f12153,plain,
( ~ sQ103_spl
| ~ sQ75_spl
| ~ sQ142_spl
| sQ183_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f12148,f524,f1272,f818,f552,f646]) ).
fof(f12167,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ18_spl
| equalish(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f8428,f228]) ).
fof(f12634,plain,
! [X0,X1] :
( ~ sQ35_spl
| ~ sQ94_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f2864,f415]) ).
fof(f12636,plain,
( ~ sQ52_spl
| ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_3,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f10855,f474]) ).
fof(f12637,plain,
( ~ sQ130_spl
| ~ sQ122_spl
| equalish(e_2,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f10855,f781]) ).
fof(f12638,plain,
( ~ sQ75_spl
| ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_1,e_2)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f10855,f553]) ).
fof(f12639,plain,
( ~ sQ103_spl
| ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f10855,f647]) ).
fof(f12641,plain,
( ~ sQ52_spl
| ~ sQ122_spl
| ~ sQ130_spl
| sQ182_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f12636,f574,f1268,f780,f707,f473]) ).
fof(f12642,plain,
( ~ sQ130_spl
| sQ170_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f12637,f707,f1032,f780]) ).
fof(f12643,plain,
( ~ sQ75_spl
| ~ sQ122_spl
| ~ sQ130_spl
| sQ168_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f12638,f815,f1024,f780,f707,f552]) ).
fof(f12644,plain,
( ~ sQ103_spl
| ~ sQ122_spl
| ~ sQ130_spl
| sQ179_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f12639,f521,f1210,f780,f707,f646]) ).
fof(f12646,plain,
( ~ sQ52_spl
| ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_2,e_3)
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f10873,f474]) ).
fof(f12648,plain,
( ~ sQ75_spl
| ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_2,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f10873,f553]) ).
fof(f12649,plain,
( ~ sQ103_spl
| ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_2,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f10873,f647]) ).
fof(f12650,plain,
( ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f10873,f123]) ).
fof(f12651,plain,
( ~ sQ52_spl
| ~ sQ122_spl
| ~ sQ130_spl
| sQ183_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f12646,f574,f1272,f780,f707,f473]) ).
fof(f12653,plain,
( ~ sQ75_spl
| ~ sQ122_spl
| ~ sQ130_spl
| sQ167_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f12648,f815,f1020,f780,f707,f552]) ).
fof(f12654,plain,
( ~ sQ103_spl
| ~ sQ122_spl
| ~ sQ130_spl
| sQ180_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f12649,f521,f1214,f780,f707,f646]) ).
fof(f12655,plain,
( ~ sQ122_spl
| ~ sQ130_spl
| sQ171_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f12650,f388,f1036,f780,f707]) ).
fof(f12656,plain,
( ~ sQ52_spl
| ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_4,e_1)
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f10895,f474]) ).
fof(f12657,plain,
( ~ sQ130_spl
| ~ sQ122_spl
| equalish(e_1,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f10895,f781]) ).
fof(f12658,plain,
( ~ sQ75_spl
| ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f10895,f553]) ).
fof(f12659,plain,
( ~ sQ103_spl
| ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_2,e_1)
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f10895,f647]) ).
fof(f12661,plain,
( ~ sQ52_spl
| ~ sQ122_spl
| ~ sQ130_spl
| sQ155_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f12656,f574,f888,f780,f707,f473]) ).
fof(f12662,plain,
( ~ sQ130_spl
| sQ173_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f12657,f707,f1093,f780]) ).
fof(f12663,plain,
( ~ sQ75_spl
| ~ sQ122_spl
| ~ sQ130_spl
| sQ161_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f12658,f815,f954,f780,f707,f552]) ).
fof(f12664,plain,
( ~ sQ103_spl
| ~ sQ122_spl
| ~ sQ130_spl
| sQ167_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f12659,f521,f1020,f780,f707,f646]) ).
fof(f12666,plain,
! [X0,X1] :
( ~ sQ35_spl
| ~ sQ94_spl
| equalish(e_5,X1)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f2858,f415]) ).
fof(f12668,plain,
( ~ sQ35_spl
| ~ sQ94_spl
| equalish(e_5,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f2848,f415]) ).
fof(f12669,plain,
( ~ sQ35_spl
| ~ sQ94_spl
| sQ128_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f12668,f825,f761,f612,f414]) ).
fof(f12670,plain,
( ~ sQ52_spl
| ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f10912,f474]) ).
fof(f12673,plain,
( ~ sQ103_spl
| ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f10912,f647]) ).
fof(f12674,plain,
( ~ sQ122_spl
| ~ sQ130_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f10912,f123]) ).
fof(f12675,plain,
( ~ sQ52_spl
| ~ sQ122_spl
| ~ sQ130_spl
| sQ156_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f12670,f574,f892,f780,f707,f473]) ).
fof(f12678,plain,
( ~ sQ103_spl
| ~ sQ122_spl
| ~ sQ130_spl
| sQ168_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f12673,f521,f1024,f780,f707,f646]) ).
fof(f12679,plain,
( ~ sQ122_spl
| ~ sQ130_spl
| sQ127_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f12674,f388,f757,f780,f707]) ).
fof(f12680,plain,
( ~ sQ35_spl
| ~ sQ94_spl
| equalish(e_3,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f2842,f415]) ).
fof(f12681,plain,
( ~ sQ35_spl
| ~ sQ94_spl
| sQ161_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f12680,f825,f954,f612,f414]) ).
fof(f12682,plain,
( ~ sQ35_spl
| ~ sQ114_spl
| ~ sQ43_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f10323,f415]) ).
fof(f12683,plain,
( ~ sQ61_spl
| ~ sQ114_spl
| ~ sQ43_spl
| equalish(e_2,e_5)
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f10323,f503]) ).
fof(f12684,plain,
( ~ sQ114_spl
| ~ sQ43_spl
| equalish(e_5,e_5)
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f10323,f682]) ).
fof(f12685,plain,
( ~ sQ142_spl
| ~ sQ114_spl
| ~ sQ43_spl
| equalish(e_4,e_5)
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f10323,f819]) ).
fof(f12687,plain,
( ~ sQ35_spl
| ~ sQ114_spl
| ~ sQ43_spl
| sQ127_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f12682,f786,f757,f439,f681,f414]) ).
fof(f12688,plain,
( ~ sQ61_spl
| ~ sQ114_spl
| ~ sQ43_spl
| sQ171_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f12683,f662,f1036,f439,f681,f502]) ).
fof(f12689,plain,
( ~ sQ114_spl
| sQ125_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f12684,f439,f749,f681]) ).
fof(f12690,plain,
( ~ sQ142_spl
| ~ sQ114_spl
| ~ sQ43_spl
| sQ159_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f12685,f540,f904,f439,f681,f818]) ).
fof(f12692,plain,
( ~ sQ35_spl
| ~ sQ114_spl
| ~ sQ43_spl
| equalish(e_5,e_2)
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f10334,f415]) ).
fof(f12693,plain,
( ~ sQ61_spl
| ~ sQ114_spl
| ~ sQ43_spl
| equalish(e_4,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f10334,f503]) ).
fof(f12694,plain,
( ~ sQ114_spl
| ~ sQ43_spl
| equalish(e_2,e_2)
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f10334,f682]) ).
fof(f12695,plain,
( ~ sQ142_spl
| ~ sQ114_spl
| ~ sQ43_spl
| equalish(e_1,e_2)
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f10334,f819]) ).
fof(f12697,plain,
( ~ sQ35_spl
| ~ sQ114_spl
| ~ sQ43_spl
| sQ176_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f12692,f786,f1153,f439,f681,f414]) ).
fof(f12698,plain,
( ~ sQ61_spl
| ~ sQ114_spl
| ~ sQ43_spl
| sQ179_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f12693,f662,f1210,f439,f681,f502]) ).
fof(f12699,plain,
( ~ sQ114_spl
| sQ170_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f12694,f439,f1032,f681]) ).
fof(f12700,plain,
( ~ sQ142_spl
| ~ sQ114_spl
| ~ sQ43_spl
| sQ168_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f12695,f540,f1024,f439,f681,f818]) ).
fof(f12706,plain,
( ~ sQ43_spl
| ~ sQ52_spl
| equalish(e_5,e_5)
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f10355,f440]) ).
fof(f12708,plain,
( ~ sQ65_spl
| ~ sQ52_spl
| ~ sQ43_spl
| equalish(e_5,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f10355,f516]) ).
fof(f12709,plain,
( ~ sQ146_spl
| ~ sQ52_spl
| ~ sQ43_spl
| equalish(e_5,e_1)
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f10355,f832]) ).
fof(f12710,plain,
( ~ sQ52_spl
| ~ sQ43_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f10355,f123]) ).
fof(f12711,plain,
( ~ sQ43_spl
| sQ125_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f12706,f473,f749,f439]) ).
fof(f12713,plain,
( ~ sQ65_spl
| ~ sQ52_spl
| ~ sQ43_spl
| sQ195_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f12708,f799,f1704,f439,f473,f515]) ).
fof(f12714,plain,
( ~ sQ146_spl
| ~ sQ52_spl
| ~ sQ43_spl
| sQ128_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f12709,f622,f761,f439,f473,f831]) ).
fof(f12715,plain,
( ~ sQ52_spl
| ~ sQ43_spl
| sQ176_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f12710,f691,f1153,f439,f473]) ).
fof(f12717,plain,
( ~ sQ94_spl
| ~ sQ52_spl
| ~ sQ43_spl
| equalish(e_3,e_5)
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f10356,f613]) ).
fof(f12718,plain,
( ~ sQ65_spl
| ~ sQ52_spl
| ~ sQ43_spl
| equalish(e_4,e_5)
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f10356,f516]) ).
fof(f12719,plain,
( ~ sQ146_spl
| ~ sQ52_spl
| ~ sQ43_spl
| equalish(e_1,e_5)
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f10356,f832]) ).
fof(f12722,plain,
( ~ sQ94_spl
| ~ sQ52_spl
| ~ sQ43_spl
| sQ165_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f12717,f420,f970,f439,f473,f612]) ).
fof(f12723,plain,
( ~ sQ65_spl
| ~ sQ52_spl
| ~ sQ43_spl
| sQ159_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f12718,f799,f904,f439,f473,f515]) ).
fof(f12724,plain,
( ~ sQ146_spl
| ~ sQ52_spl
| ~ sQ43_spl
| sQ127_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f12719,f622,f757,f439,f473,f831]) ).
fof(f12726,plain,
( ~ sQ43_spl
| ~ sQ52_spl
| equalish(e_4,e_4)
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f10376,f440]) ).
fof(f12727,plain,
( ~ sQ94_spl
| ~ sQ52_spl
| ~ sQ43_spl
| equalish(e_4,e_5)
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f10376,f613]) ).
fof(f12728,plain,
( ~ sQ65_spl
| ~ sQ52_spl
| ~ sQ43_spl
| equalish(e_4,e_1)
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f10376,f516]) ).
fof(f12729,plain,
( ~ sQ146_spl
| ~ sQ52_spl
| ~ sQ43_spl
| equalish(e_4,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f10376,f832]) ).
fof(f12730,plain,
( ~ sQ52_spl
| ~ sQ43_spl
| equalish(e_4,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f10376,f123]) ).
fof(f12731,plain,
( ~ sQ43_spl
| sQ158_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f12726,f473,f900,f439]) ).
fof(f12732,plain,
( ~ sQ94_spl
| ~ sQ52_spl
| ~ sQ43_spl
| sQ159_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f12727,f420,f904,f439,f473,f612]) ).
fof(f12733,plain,
( ~ sQ65_spl
| ~ sQ52_spl
| ~ sQ43_spl
| sQ155_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f12728,f799,f888,f439,f473,f515]) ).
fof(f12734,plain,
( ~ sQ146_spl
| ~ sQ52_spl
| ~ sQ43_spl
| sQ189_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f12729,f622,f1482,f439,f473,f831]) ).
fof(f12735,plain,
( ~ sQ52_spl
| ~ sQ43_spl
| sQ179_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f12730,f691,f1210,f439,f473]) ).
fof(f12742,plain,
( ~ sQ94_spl
| ~ sQ52_spl
| ~ sQ43_spl
| equalish(e_5,e_4)
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f10397,f613]) ).
fof(f12743,plain,
( ~ sQ65_spl
| ~ sQ52_spl
| ~ sQ43_spl
| equalish(e_1,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f10397,f516]) ).
fof(f12744,plain,
( ~ sQ146_spl
| ~ sQ52_spl
| ~ sQ43_spl
| equalish(e_3,e_4)
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f10397,f832]) ).
fof(f12747,plain,
( ~ sQ94_spl
| ~ sQ52_spl
| ~ sQ43_spl
| sQ195_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f12742,f420,f1704,f439,f473,f612]) ).
fof(f12748,plain,
( ~ sQ65_spl
| ~ sQ52_spl
| ~ sQ43_spl
| sQ156_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f12743,f799,f892,f439,f473,f515]) ).
fof(f12749,plain,
( ~ sQ146_spl
| ~ sQ52_spl
| ~ sQ43_spl
| sQ190_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f12744,f622,f1486,f439,f473,f831]) ).
fof(f12752,plain,
( ~ sQ52_spl
| ~ sQ81_spl
| equalish(e_3,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f10607,f474]) ).
fof(f12753,plain,
( ~ sQ130_spl
| ~ sQ81_spl
| ~ sQ52_spl
| equalish(e_2,e_3)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f10607,f781]) ).
fof(f12754,plain,
( ~ sQ75_spl
| ~ sQ81_spl
| ~ sQ52_spl
| equalish(e_1,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f10607,f553]) ).
fof(f12755,plain,
( ~ sQ103_spl
| ~ sQ81_spl
| ~ sQ52_spl
| equalish(e_4,e_3)
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f10607,f647]) ).
fof(f12756,plain,
( ~ sQ81_spl
| ~ sQ52_spl
| equalish(e_5,e_3)
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f10607,f123]) ).
fof(f12757,plain,
( ~ sQ52_spl
| sQ164_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f12752,f571,f966,f473]) ).
fof(f12758,plain,
( ~ sQ130_spl
| ~ sQ81_spl
| ~ sQ52_spl
| sQ183_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f12753,f704,f1272,f473,f571,f780]) ).
fof(f12759,plain,
( ~ sQ75_spl
| ~ sQ81_spl
| ~ sQ52_spl
| sQ162_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f12754,f812,f958,f473,f571,f552]) ).
fof(f12760,plain,
( ~ sQ103_spl
| ~ sQ81_spl
| ~ sQ52_spl
| sQ189_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f12755,f518,f1482,f473,f571,f646]) ).
fof(f12761,plain,
( ~ sQ81_spl
| ~ sQ52_spl
| sQ187_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f12756,f385,f1432,f473,f571]) ).
fof(f12762,plain,
( ~ sQ38_spl
| ~ sQ142_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f3863,f757,f818,f423]) ).
fof(f12763,plain,
( ~ sQ219_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f4484,f799,f2573]) ).
fof(f12772,plain,
( ~ sQ255_spl
| ~ sQ98_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f626,f3990]) ).
fof(f12773,plain,
( ~ sQ265_spl
| ~ sQ98_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f626,f4902]) ).
fof(f12774,plain,
( ~ sQ267_spl
| ~ sQ98_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f626,f5469]) ).
fof(f12918,plain,
( ~ sQ279_spl
| ~ sQ35_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f415,f7243]) ).
fof(f13036,plain,
( ~ sQ193_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1634,f123]) ).
fof(f13046,plain,
( ~ sQ222_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f2660,f123]) ).
fof(f13060,plain,
( ~ sQ81_spl
| ~ sQ287_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f9562,f572]) ).
fof(f13072,plain,
( ~ sQ46_spl
| ~ sQ272_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f6015,f450]) ).
fof(f13076,plain,
( ~ sQ35_spl
| ~ sQ43_spl
| ~ sQ114_spl
| equalish(e_5,e_1)
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f11961,f415]) ).
fof(f13077,plain,
( ~ sQ61_spl
| ~ sQ43_spl
| ~ sQ114_spl
| equalish(e_5,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f11961,f503]) ).
fof(f13079,plain,
( ~ sQ142_spl
| ~ sQ43_spl
| ~ sQ114_spl
| equalish(e_5,e_4)
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f11961,f819]) ).
fof(f13080,plain,
( ~ sQ43_spl
| ~ sQ114_spl
| equalish(e_5,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f11961,f123]) ).
fof(f13081,plain,
( ~ sQ35_spl
| ~ sQ43_spl
| ~ sQ114_spl
| sQ128_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f13076,f786,f761,f681,f439,f414]) ).
fof(f13082,plain,
( ~ sQ61_spl
| ~ sQ43_spl
| ~ sQ114_spl
| sQ176_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f13077,f662,f1153,f681,f439,f502]) ).
fof(f13084,plain,
( ~ sQ142_spl
| ~ sQ43_spl
| ~ sQ114_spl
| sQ195_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f13079,f540,f1704,f681,f439,f818]) ).
fof(f13085,plain,
( ~ sQ43_spl
| ~ sQ114_spl
| sQ187_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f13080,f593,f1432,f681,f439]) ).
fof(f13088,plain,
( ~ sQ114_spl
| ~ sQ81_spl
| equalish(e_3,e_5)
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f9814,f682]) ).
fof(f13089,plain,
( ~ sQ114_spl
| ~ sQ81_spl
| sQ165_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f13088,f410,f970,f571,f681]) ).
fof(f13091,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| equalish(e_2,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f11963,f572]) ).
fof(f13092,plain,
( ~ sQ105_spl
| ~ sQ81_spl
| ~ sQ114_spl
| equalish(e_1,e_2)
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f11963,f654]) ).
fof(f13093,plain,
( ~ sQ32_spl
| ~ sQ81_spl
| ~ sQ114_spl
| equalish(e_3,e_2)
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f11963,f405]) ).
fof(f13096,plain,
( ~ sQ81_spl
| sQ170_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f13091,f681,f1032,f571]) ).
fof(f13097,plain,
( ~ sQ105_spl
| ~ sQ81_spl
| ~ sQ114_spl
| sQ168_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f13092,f837,f1024,f681,f571,f653]) ).
fof(f13098,plain,
( ~ sQ32_spl
| ~ sQ81_spl
| ~ sQ114_spl
| sQ182_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f13093,f564,f1268,f681,f571,f404]) ).
fof(f13100,plain,
( ~ sQ35_spl
| ~ sQ43_spl
| ~ sQ114_spl
| equalish(e_2,e_5)
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f11967,f415]) ).
fof(f13103,plain,
( ~ sQ142_spl
| ~ sQ43_spl
| ~ sQ114_spl
| equalish(e_2,e_1)
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f11967,f819]) ).
fof(f13104,plain,
( ~ sQ43_spl
| ~ sQ114_spl
| equalish(e_2,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f11967,f123]) ).
fof(f13105,plain,
( ~ sQ35_spl
| ~ sQ43_spl
| ~ sQ114_spl
| sQ171_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f13100,f786,f1036,f681,f439,f414]) ).
fof(f13108,plain,
( ~ sQ142_spl
| ~ sQ43_spl
| ~ sQ114_spl
| sQ167_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f13103,f540,f1020,f681,f439,f818]) ).
fof(f13109,plain,
( ~ sQ43_spl
| ~ sQ114_spl
| sQ183_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f13104,f593,f1272,f681,f439]) ).
fof(f13111,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| equalish(e_3,e_3)
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f11969,f572]) ).
fof(f13112,plain,
( ~ sQ105_spl
| ~ sQ81_spl
| ~ sQ114_spl
| equalish(e_2,e_3)
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f11969,f654]) ).
fof(f13113,plain,
( ~ sQ32_spl
| ~ sQ81_spl
| ~ sQ114_spl
| equalish(e_5,e_3)
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f11969,f405]) ).
fof(f13116,plain,
( ~ sQ81_spl
| sQ164_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f13111,f681,f966,f571]) ).
fof(f13117,plain,
( ~ sQ105_spl
| ~ sQ81_spl
| ~ sQ114_spl
| sQ183_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f13112,f837,f1272,f681,f571,f653]) ).
fof(f13118,plain,
( ~ sQ32_spl
| ~ sQ81_spl
| ~ sQ114_spl
| sQ187_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f13113,f564,f1432,f681,f571,f404]) ).
fof(f13120,plain,
( ~ sQ52_spl
| ~ sQ81_spl
| equalish(e_5,e_4)
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f9816,f474]) ).
fof(f13121,plain,
( ~ sQ52_spl
| ~ sQ81_spl
| sQ195_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f13120,f385,f1704,f571,f473]) ).
fof(f13122,plain,
( ~ sQ114_spl
| ~ sQ81_spl
| equalish(e_2,e_5)
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f9820,f682]) ).
fof(f13123,plain,
( ~ sQ114_spl
| ~ sQ81_spl
| sQ171_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f13122,f410,f1036,f571,f681]) ).
fof(f13127,plain,
( ~ sQ130_spl
| ~ sQ142_spl
| ~ sQ75_spl
| equalish(e_3,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f11986,f781]) ).
fof(f13129,plain,
( ~ sQ103_spl
| ~ sQ142_spl
| ~ sQ75_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f11986,f647]) ).
fof(f13130,plain,
( ~ sQ142_spl
| ~ sQ75_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f11986,f123]) ).
fof(f13132,plain,
( ~ sQ130_spl
| ~ sQ142_spl
| ~ sQ75_spl
| sQ161_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f13127,f710,f954,f552,f818,f780]) ).
fof(f13134,plain,
( ~ sQ103_spl
| ~ sQ142_spl
| ~ sQ75_spl
| sQ182_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f13129,f524,f1268,f552,f818,f646]) ).
fof(f13135,plain,
( ~ sQ142_spl
| ~ sQ75_spl
| sQ165_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f13130,f391,f970,f552,f818]) ).
fof(f13137,plain,
( ~ sQ52_spl
| ~ sQ142_spl
| ~ sQ75_spl
| equalish(e_1,e_3)
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f11991,f474]) ).
fof(f13138,plain,
( ~ sQ130_spl
| ~ sQ142_spl
| ~ sQ75_spl
| equalish(e_1,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f11991,f781]) ).
fof(f13140,plain,
( ~ sQ103_spl
| ~ sQ142_spl
| ~ sQ75_spl
| equalish(e_1,e_4)
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f11991,f647]) ).
fof(f13141,plain,
( ~ sQ142_spl
| ~ sQ75_spl
| equalish(e_1,e_5)
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f11991,f123]) ).
fof(f13142,plain,
( ~ sQ52_spl
| ~ sQ142_spl
| ~ sQ75_spl
| sQ162_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f13137,f577,f958,f552,f818,f473]) ).
fof(f13143,plain,
( ~ sQ130_spl
| ~ sQ142_spl
| ~ sQ75_spl
| sQ168_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f13138,f710,f1024,f552,f818,f780]) ).
fof(f13145,plain,
( ~ sQ103_spl
| ~ sQ142_spl
| ~ sQ75_spl
| sQ156_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f13140,f524,f892,f552,f818,f646]) ).
fof(f13146,plain,
( ~ sQ142_spl
| ~ sQ75_spl
| sQ127_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f13141,f391,f757,f552,f818]) ).
fof(f13157,plain,
! [X0,X1] :
( ~ sQ114_spl
| ~ sQ81_spl
| equalish(e_2,X1)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f9830,f682]) ).
fof(f13190,plain,
! [X0,X1] :
( ~ sQ114_spl
| ~ sQ81_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f9836,f682]) ).
fof(f13396,plain,
( ~ sQ43_spl
| ~ sQ35_spl
| ~ sQ94_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f12634,f440]) ).
fof(f13398,plain,
( ~ sQ65_spl
| ~ sQ35_spl
| ~ sQ94_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f12634,f516]) ).
fof(f13400,plain,
( ~ sQ35_spl
| ~ sQ94_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f12634,f123]) ).
fof(f13401,plain,
( ~ sQ43_spl
| ~ sQ35_spl
| ~ sQ94_spl
| sQ165_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f13396,f467,f970,f612,f414,f439]) ).
fof(f13403,plain,
( ~ sQ65_spl
| ~ sQ35_spl
| ~ sQ94_spl
| sQ190_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f13398,f793,f1486,f612,f414,f515]) ).
fof(f13405,plain,
( ~ sQ35_spl
| ~ sQ94_spl
| sQ182_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f13400,f685,f1268,f612,f414]) ).
fof(f13408,plain,
( ~ sQ43_spl
| ~ sQ35_spl
| ~ sQ94_spl
| equalish(e_5,e_4)
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f12666,f440]) ).
fof(f13410,plain,
( ~ sQ65_spl
| ~ sQ35_spl
| ~ sQ94_spl
| equalish(e_5,e_1)
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f12666,f516]) ).
fof(f13411,plain,
( ~ sQ146_spl
| ~ sQ35_spl
| ~ sQ94_spl
| equalish(e_5,e_3)
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f12666,f832]) ).
fof(f13412,plain,
( ~ sQ35_spl
| ~ sQ94_spl
| equalish(e_5,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f12666,f123]) ).
fof(f13413,plain,
( ~ sQ43_spl
| ~ sQ35_spl
| ~ sQ94_spl
| sQ195_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f13408,f467,f1704,f612,f414,f439]) ).
fof(f13415,plain,
( ~ sQ65_spl
| ~ sQ35_spl
| ~ sQ94_spl
| sQ128_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f13410,f793,f761,f612,f414,f515]) ).
fof(f13416,plain,
( ~ sQ146_spl
| ~ sQ35_spl
| ~ sQ94_spl
| sQ187_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f13411,f616,f1432,f612,f414,f831]) ).
fof(f13417,plain,
( ~ sQ35_spl
| ~ sQ94_spl
| sQ176_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f13412,f685,f1153,f612,f414]) ).
fof(f13419,plain,
( ~ sQ130_spl
| ~ sQ81_spl
| ~ sQ52_spl
| equalish(e_3,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f10612,f781]) ).
fof(f13420,plain,
( ~ sQ75_spl
| ~ sQ81_spl
| ~ sQ52_spl
| equalish(e_3,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f10612,f553]) ).
fof(f13421,plain,
( ~ sQ103_spl
| ~ sQ81_spl
| ~ sQ52_spl
| equalish(e_3,e_4)
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f10612,f647]) ).
fof(f13422,plain,
( ~ sQ81_spl
| ~ sQ52_spl
| equalish(e_3,e_5)
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f10612,f123]) ).
fof(f13424,plain,
( ~ sQ130_spl
| ~ sQ81_spl
| ~ sQ52_spl
| sQ182_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f13419,f704,f1268,f473,f571,f780]) ).
fof(f13425,plain,
( ~ sQ75_spl
| ~ sQ81_spl
| ~ sQ52_spl
| sQ161_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f13420,f812,f954,f473,f571,f552]) ).
fof(f13426,plain,
( ~ sQ103_spl
| ~ sQ81_spl
| ~ sQ52_spl
| sQ190_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f13421,f518,f1486,f473,f571,f646]) ).
fof(f13427,plain,
( ~ sQ81_spl
| ~ sQ52_spl
| sQ165_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f13422,f385,f970,f473,f571]) ).
fof(f13431,plain,
( ~ sQ52_spl
| ~ sQ81_spl
| equalish(e_4,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f10624,f474]) ).
fof(f13432,plain,
( ~ sQ130_spl
| ~ sQ81_spl
| ~ sQ52_spl
| equalish(e_1,e_4)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f10624,f781]) ).
fof(f13433,plain,
( ~ sQ75_spl
| ~ sQ81_spl
| ~ sQ52_spl
| equalish(e_3,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f10624,f553]) ).
fof(f13434,plain,
( ~ sQ103_spl
| ~ sQ81_spl
| ~ sQ52_spl
| equalish(e_2,e_4)
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f10624,f647]) ).
fof(f13436,plain,
( ~ sQ52_spl
| sQ158_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f13431,f571,f900,f473]) ).
fof(f13437,plain,
( ~ sQ130_spl
| ~ sQ81_spl
| ~ sQ52_spl
| sQ156_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f13432,f704,f892,f473,f571,f780]) ).
fof(f13438,plain,
( ~ sQ75_spl
| ~ sQ81_spl
| ~ sQ52_spl
| sQ190_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f13433,f812,f1486,f473,f571,f552]) ).
fof(f13439,plain,
( ~ sQ103_spl
| ~ sQ81_spl
| ~ sQ52_spl
| sQ180_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f13434,f518,f1214,f473,f571,f646]) ).
fof(f13442,plain,
( ~ sQ130_spl
| ~ sQ81_spl
| ~ sQ52_spl
| equalish(e_4,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f10645,f781]) ).
fof(f13443,plain,
( ~ sQ75_spl
| ~ sQ81_spl
| ~ sQ52_spl
| equalish(e_4,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f10645,f553]) ).
fof(f13445,plain,
( ~ sQ81_spl
| ~ sQ52_spl
| equalish(e_4,e_5)
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f10645,f123]) ).
fof(f13447,plain,
( ~ sQ130_spl
| ~ sQ81_spl
| ~ sQ52_spl
| sQ155_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f13442,f704,f888,f473,f571,f780]) ).
fof(f13448,plain,
( ~ sQ75_spl
| ~ sQ81_spl
| ~ sQ52_spl
| sQ189_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f13443,f812,f1482,f473,f571,f552]) ).
fof(f13450,plain,
( ~ sQ81_spl
| ~ sQ52_spl
| sQ159_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f13445,f385,f904,f473,f571]) ).
fof(f13512,plain,
( ~ sQ105_spl
| ~ sQ114_spl
| ~ sQ81_spl
| equalish(e_2,e_1)
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f13157,f654]) ).
fof(f13513,plain,
( ~ sQ32_spl
| ~ sQ114_spl
| ~ sQ81_spl
| equalish(e_2,e_3)
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f13157,f405]) ).
fof(f13514,plain,
( ~ sQ114_spl
| ~ sQ81_spl
| equalish(e_2,e_4)
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f13157,f123]) ).
fof(f13517,plain,
( ~ sQ105_spl
| ~ sQ114_spl
| ~ sQ81_spl
| sQ167_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f13512,f837,f1020,f571,f681,f653]) ).
fof(f13518,plain,
( ~ sQ32_spl
| ~ sQ114_spl
| ~ sQ81_spl
| sQ183_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f13513,f564,f1272,f571,f681,f404]) ).
fof(f13519,plain,
( ~ sQ114_spl
| ~ sQ81_spl
| sQ180_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f13514,f495,f1214,f571,f681]) ).
fof(f13522,plain,
( ~ sQ105_spl
| ~ sQ114_spl
| ~ sQ81_spl
| equalish(e_3,e_2)
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f13190,f654]) ).
fof(f13524,plain,
( ~ sQ114_spl
| ~ sQ81_spl
| equalish(e_3,e_4)
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f13190,f123]) ).
fof(f13527,plain,
( ~ sQ105_spl
| ~ sQ114_spl
| ~ sQ81_spl
| sQ182_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f13522,f837,f1268,f571,f681,f653]) ).
fof(f13529,plain,
( ~ sQ114_spl
| ~ sQ81_spl
| sQ190_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f13524,f495,f1486,f571,f681]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ12_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ17_spl
| sQ18_spl
| ~ sQ19_spl
| sQ20_spl
| ~ sQ23_spl
| ~ sQ24_spl
| ~ sQ25_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
| ~ sQ69_spl
| ~ sQ70_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| sQ74_spl
| sQ75_spl
| ~ sQ76_spl
| ~ sQ77_spl
| ~ sQ78_spl
| ~ sQ79_spl
| ~ sQ80_spl
| sQ81_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
| sQ94_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
| sQ114_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
| sQ138_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
| ~ 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
| sQ173_spl
| ~ sQ174_spl
| sQ175_spl
| ~ sQ176_spl
| ~ sQ177_spl
| sQ178_spl
| ~ sQ179_spl
| ~ sQ180_spl
| ~ sQ182_spl
| ~ sQ183_spl
| ~ sQ185_spl
| sQ186_spl
| ~ sQ187_spl
| ~ sQ188_spl
| ~ sQ189_spl
| ~ sQ190_spl
| sQ193_spl
| sQ194_spl
| ~ sQ195_spl
| sQ197_spl
| ~ sQ198_spl
| sQ200_spl
| ~ sQ201_spl
| sQ202_spl
| ~ sQ203_spl
| ~ sQ205_spl
| ~ sQ206_spl
| ~ sQ207_spl
| ~ sQ209_spl
| sQ211_spl
| ~ sQ212_spl
| sQ214_spl
| ~ sQ215_spl
| sQ216_spl
| sQ218_spl
| ~ sQ220_spl
| ~ sQ221_spl
| sQ222_spl
| ~ sQ223_spl
| sQ224_spl
| ~ sQ225_spl
| ~ sQ227_spl
| ~ sQ229_spl
| sQ230_spl
| ~ sQ231_spl
| sQ232_spl
| ~ sQ236_spl
| ~ sQ237_spl
| ~ sQ238_spl
| sQ239_spl
| ~ sQ240_spl
| sQ241_spl
| ~ sQ242_spl
| ~ sQ244_spl
| sQ245_spl
| ~ sQ246_spl
| sQ247_spl
| ~ sQ248_spl
| ~ sQ250_spl
| sQ252_spl
| sQ253_spl
| ~ sQ254_spl
| sQ255_spl
| ~ sQ256_spl
| ~ sQ257_spl
| ~ sQ258_spl
| ~ sQ260_spl
| sQ261_spl
| ~ sQ262_spl
| ~ sQ263_spl
| sQ264_spl
| sQ265_spl
| ~ sQ266_spl
| sQ267_spl
| ~ sQ268_spl
| ~ sQ269_spl
| ~ sQ270_spl
| sQ272_spl
| sQ274_spl
| sQ275_spl
| sQ278_spl
| sQ279_spl
| ~ sQ280_spl
| sQ281_spl
| sQ282_spl
| sQ283_spl
| sQ284_spl
| sQ285_spl
| sQ286_spl
| sQ287_spl
| sQ288_spl
| sQ289_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP124-3.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.46 % Computer : n006.cluster.edu
% 0.18/5.46 % Model : x86_64 x86_64
% 0.18/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.46 % Memory : 8046.5625MB
% 0.18/5.46 % OS : Linux 6.8.0-71-generic
% 0.18/5.46 % CPULimit : 300
% 0.18/5.46 % WCLimit : 300
% 0.18/5.46 % DateTime : Sun Sep 20 19:59:17 UTC 2026
% 0.18/5.46 % CPUTime :
% 0.18/5.47 % Drodi V4.1.1
% 44.61/11.21 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 44.61/11.21 % SZS output start Saturation for theBenchmark
% See solution above
% 4.78/11.35 % Elapsed time: 5.868720 seconds
% 4.78/11.35 % CPU time: 45.238306 seconds
% 4.78/11.35 % Total memory used: 116.879 MB
% 4.78/11.35 % Net memory used: 93.317 MB
%------------------------------------------------------------------------------