%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP124-9.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 12:35:49 PM UTC 2026
% Result : Satisfiable 5.50s 1.24s
% Output : Saturation 5.50s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( product(e_5,X,Y)
| product(e_4,X,Y)
| product(e_3,X,Y)
| product(e_2,X,Y)
| product(e_1,X,Y)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( product(X,e_5,Y)
| product(X,e_4,Y)
| product(X,e_3,Y)
| product(X,e_2,Y)
| product(X,e_1,Y)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
group_element(e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,Y] :
( product1(X,Y,e_5)
| product1(X,Y,e_4)
| product1(X,Y,e_3)
| product1(X,Y,e_2)
| product1(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product1(X,Y,Z)
| ~ product1(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product1(X,Z,Y)
| ~ product1(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product1(Z,Y,X)
| ~ product1(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X] : product1(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X,Y] :
( product2(X,Y,e_5)
| product2(X,Y,e_4)
| product2(X,Y,e_3)
| product2(X,Y,e_2)
| product2(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product2(X,Y,Z)
| ~ product2(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product2(X,Z,Y)
| ~ product2(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product2(Z,Y,X)
| ~ product2(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [X] : product2(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
! [X,Y,Z1,Z2] :
( product2(Z2,Y,X)
| ~ product1(Z1,X,Z2)
| ~ product1(X,Y,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,plain,
! [X0,X1] :
( product(e_5,X0,X1)
| product(e_4,X0,X1)
| product(e_3,X0,X1)
| product(e_2,X0,X1)
| product(e_1,X0,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f40,plain,
! [X0,X1] :
( product(X0,e_5,X1)
| product(X0,e_4,X1)
| product(X0,e_3,X1)
| product(X0,e_2,X1)
| product(X0,e_1,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f41,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f42,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f43,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f44,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f45,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f46,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f47,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f48,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f49,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f50,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f51,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f52,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f53,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f54,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f55,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f56,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f57,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f58,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f59,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f60,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f61,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f62,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f63,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f64,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f65,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f66,plain,
! [X0,X1] :
( product1(X0,X1,e_5)
| product1(X0,X1,e_4)
| product1(X0,X1,e_3)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f67,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product1(X,Y,Z)
| ~ product1(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product1(X0,X1,X3)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product1(X,Z,Y)
| ~ product1(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product1(X0,X3,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product1(Z,Y,X)
| ~ product1(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product1(X3,X1,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [X0] : product1(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f74,plain,
! [X0,X1] :
( product2(X0,X1,e_5)
| product2(X0,X1,e_4)
| product2(X0,X1,e_3)
| product2(X0,X1,e_2)
| product2(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f75,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product2(X,Y,Z)
| ~ product2(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product2(X,Z,Y)
| ~ product2(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product2(X0,X3,X2)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f79,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product2(Z,Y,X)
| ~ product2(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f36]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product2(X3,X1,X2)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f81,plain,
! [X0] : product2(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f82,plain,
! [X,Y,Z2] :
( product2(Z2,Y,X)
| ! [Z1] :
( ~ product1(Z1,X,Z2)
| ~ product1(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( product2(X3,X1,X0)
| ~ product1(X2,X0,X3)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f84,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product1(X0,X1,X1) ),
inference(resolution,[status(thm)],[f73,f72]) ).
fof(f85,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product1(X0,X1,X0) ),
inference(resolution,[status(thm)],[f73,f70]) ).
fof(f86,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product1(X0,X0,X1) ),
inference(resolution,[status(thm)],[f73,f68]) ).
fof(f87,plain,
! [X0,X1] :
( product2(X0,X1,X0)
| ~ product1(X0,X1,X0) ),
inference(resolution,[status(thm)],[f73,f83]) ).
fof(f88,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f84,f73]) ).
fof(f92,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product2(X0,X1,X1) ),
inference(resolution,[status(thm)],[f81,f80]) ).
fof(f93,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product2(X0,X1,X0) ),
inference(resolution,[status(thm)],[f81,f78]) ).
fof(f94,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product2(X0,X0,X1) ),
inference(resolution,[status(thm)],[f81,f76]) ).
fof(f98,plain,
! [X0] :
( product2(X0,e_1,e_5)
| product2(X0,e_1,e_4)
| product2(X0,e_1,e_3)
| product2(X0,e_1,e_2)
| product2(X0,e_1,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f41,f74]) ).
fof(f99,plain,
! [X0] :
( product2(X0,e_2,e_5)
| product2(X0,e_2,e_4)
| product2(X0,e_2,e_3)
| product2(X0,e_2,e_2)
| product2(X0,e_2,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f42,f74]) ).
fof(f100,plain,
! [X0] :
( product2(X0,e_3,e_5)
| product2(X0,e_3,e_4)
| product2(X0,e_3,e_3)
| product2(X0,e_3,e_2)
| product2(X0,e_3,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f43,f74]) ).
fof(f101,plain,
! [X0] :
( product2(X0,e_4,e_5)
| product2(X0,e_4,e_4)
| product2(X0,e_4,e_3)
| product2(X0,e_4,e_2)
| product2(X0,e_4,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f44,f74]) ).
fof(f102,plain,
! [X0] :
( product2(X0,e_5,e_5)
| product2(X0,e_5,e_4)
| product2(X0,e_5,e_3)
| product2(X0,e_5,e_2)
| product2(X0,e_5,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f45,f74]) ).
fof(f103,plain,
! [X0] :
( product(e_5,X0,e_5)
| product(e_4,X0,e_5)
| product(e_3,X0,e_5)
| product(e_2,X0,e_5)
| product(e_1,X0,e_5)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f39,f45]) ).
fof(f104,plain,
! [X0] :
( product(e_5,X0,e_4)
| product(e_4,X0,e_4)
| product(e_3,X0,e_4)
| product(e_2,X0,e_4)
| product(e_1,X0,e_4)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f39,f44]) ).
fof(f105,plain,
! [X0] :
( product(e_5,X0,e_3)
| product(e_4,X0,e_3)
| product(e_3,X0,e_3)
| product(e_2,X0,e_3)
| product(e_1,X0,e_3)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f39,f43]) ).
fof(f106,plain,
! [X0] :
( product(e_5,X0,e_2)
| product(e_4,X0,e_2)
| product(e_3,X0,e_2)
| product(e_2,X0,e_2)
| product(e_1,X0,e_2)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f39,f42]) ).
fof(f107,plain,
! [X0] :
( product(e_5,X0,e_1)
| product(e_4,X0,e_1)
| product(e_3,X0,e_1)
| product(e_2,X0,e_1)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f39,f41]) ).
fof(f108,plain,
! [X0] :
( product(X0,e_5,e_5)
| product(X0,e_4,e_5)
| product(X0,e_3,e_5)
| product(X0,e_2,e_5)
| product(X0,e_1,e_5)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f40,f45]) ).
fof(f109,plain,
! [X0] :
( product(X0,e_5,e_4)
| product(X0,e_4,e_4)
| product(X0,e_3,e_4)
| product(X0,e_2,e_4)
| product(X0,e_1,e_4)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f40,f44]) ).
fof(f110,plain,
! [X0] :
( product(X0,e_5,e_3)
| product(X0,e_4,e_3)
| product(X0,e_3,e_3)
| product(X0,e_2,e_3)
| product(X0,e_1,e_3)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f40,f43]) ).
fof(f111,plain,
! [X0] :
( product(X0,e_5,e_2)
| product(X0,e_4,e_2)
| product(X0,e_3,e_2)
| product(X0,e_2,e_2)
| product(X0,e_1,e_2)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f40,f42]) ).
fof(f112,plain,
! [X0] :
( product(X0,e_5,e_1)
| product(X0,e_4,e_1)
| product(X0,e_3,e_1)
| product(X0,e_2,e_1)
| product(X0,e_1,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f40,f41]) ).
fof(f113,plain,
( product2(e_5,e_1,e_5)
| product2(e_5,e_1,e_4)
| product2(e_5,e_1,e_3)
| product2(e_5,e_1,e_2)
| product2(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f98,f45]) ).
fof(f114,plain,
( product2(e_4,e_1,e_5)
| product2(e_4,e_1,e_4)
| product2(e_4,e_1,e_3)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f98,f44]) ).
fof(f115,plain,
( product2(e_3,e_1,e_5)
| product2(e_3,e_1,e_4)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f98,f43]) ).
fof(f116,plain,
( product2(e_2,e_1,e_5)
| product2(e_2,e_1,e_4)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f98,f42]) ).
fof(f117,plain,
( product2(e_1,e_1,e_5)
| product2(e_1,e_1,e_4)
| product2(e_1,e_1,e_3)
| product2(e_1,e_1,e_2)
| product2(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f98,f41]) ).
fof(f118,definition,
( sQ0_spl
<=> product2(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ0_spl
| product2(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f120,plain,
( sQ0_spl
| ~ product2(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,definition,
( sQ1_spl
<=> product2(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ1_spl
| product2(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f123,plain,
( sQ1_spl
| ~ product2(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,definition,
( sQ2_spl
<=> product2(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ2_spl
| product2(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f126,plain,
( sQ2_spl
| ~ product2(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,definition,
( sQ3_spl
<=> product2(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ3_spl
| product2(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f129,plain,
( sQ3_spl
| ~ product2(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,definition,
( sQ4_spl
<=> product2(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( ~ sQ4_spl
| product2(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f132,plain,
( sQ4_spl
| ~ product2(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f113,f118,f121,f124,f127,f130]) ).
fof(f134,definition,
( sQ5_spl
<=> product2(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( ~ sQ5_spl
| product2(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f136,plain,
( sQ5_spl
| ~ product2(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,definition,
( sQ6_spl
<=> product2(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ6_spl
| product2(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f139,plain,
( sQ6_spl
| ~ product2(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,definition,
( sQ7_spl
<=> product2(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ7_spl
| product2(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f142,plain,
( sQ7_spl
| ~ product2(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
( sQ8_spl
<=> product2(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ8_spl
| product2(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f145,plain,
( sQ8_spl
| ~ product2(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
( sQ9_spl
<=> product2(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( ~ sQ9_spl
| product2(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f148,plain,
( sQ9_spl
| ~ product2(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f114,f134,f137,f140,f143,f146]) ).
fof(f150,definition,
( sQ10_spl
<=> product2(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ10_spl
| product2(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f152,plain,
( sQ10_spl
| ~ product2(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,definition,
( sQ11_spl
<=> product2(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ11_spl
| product2(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f155,plain,
( sQ11_spl
| ~ product2(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,definition,
( sQ12_spl
<=> product2(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ12_spl
| product2(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f158,plain,
( sQ12_spl
| ~ product2(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,definition,
( sQ13_spl
<=> product2(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ13_spl
| product2(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( sQ13_spl
| ~ product2(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,definition,
( sQ14_spl
<=> product2(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ14_spl
| product2(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f164,plain,
( sQ14_spl
| ~ product2(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f115,f150,f153,f156,f159,f162]) ).
fof(f166,definition,
( sQ15_spl
<=> product2(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ15_spl
| product2(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f168,plain,
( sQ15_spl
| ~ product2(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,definition,
( sQ16_spl
<=> product2(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ16_spl
| product2(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( sQ16_spl
| ~ product2(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,definition,
( sQ17_spl
<=> product2(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ17_spl
| product2(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f174,plain,
( sQ17_spl
| ~ product2(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,definition,
( sQ18_spl
<=> product2(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( ~ sQ18_spl
| product2(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f177,plain,
( sQ18_spl
| ~ product2(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,definition,
( sQ19_spl
<=> product2(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( ~ sQ19_spl
| product2(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f180,plain,
( sQ19_spl
| ~ product2(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f116,f166,f169,f172,f175,f178]) ).
fof(f182,definition,
( sQ20_spl
<=> product2(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f185,definition,
( sQ21_spl
<=> product2(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ21_spl
| product2(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f187,plain,
( sQ21_spl
| ~ product2(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,definition,
( sQ22_spl
<=> product2(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ22_spl
| product2(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f190,plain,
( sQ22_spl
| ~ product2(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,definition,
( sQ23_spl
<=> product2(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( ~ sQ23_spl
| product2(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f193,plain,
( sQ23_spl
| ~ product2(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,definition,
( sQ24_spl
<=> product2(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ24_spl
| product2(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f196,plain,
( sQ24_spl
| ~ product2(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f117,f182,f185,f188,f191,f194]) ).
fof(f198,plain,
( ~ sQ24_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f195,f94]) ).
fof(f199,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f195,f80]) ).
fof(f200,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f195,f78]) ).
fof(f201,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f195,f76]) ).
fof(f202,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f198,f62]) ).
fof(f203,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f202]) ).
fof(f204,plain,
( ~ sQ23_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f192,f94]) ).
fof(f205,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f192,f80]) ).
fof(f206,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f192,f78]) ).
fof(f207,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f192,f76]) ).
fof(f208,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f204,f58]) ).
fof(f209,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f208]) ).
fof(f210,plain,
( ~ sQ22_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f189,f94]) ).
fof(f211,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f189,f80]) ).
fof(f212,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f189,f78]) ).
fof(f213,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f189,f76]) ).
fof(f214,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f210,f54]) ).
fof(f215,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f214]) ).
fof(f216,plain,
( ~ sQ21_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f186,f94]) ).
fof(f217,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f186,f80]) ).
fof(f218,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f186,f78]) ).
fof(f219,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f186,f76]) ).
fof(f220,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f216,f50]) ).
fof(f221,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f220]) ).
fof(f222,plain,
( product2(e_5,e_2,e_5)
| product2(e_5,e_2,e_4)
| product2(e_5,e_2,e_3)
| product2(e_5,e_2,e_2)
| product2(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f99,f45]) ).
fof(f223,plain,
( product2(e_4,e_2,e_5)
| product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f99,f44]) ).
fof(f224,plain,
( product2(e_3,e_2,e_5)
| product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f99,f43]) ).
fof(f225,plain,
( product2(e_2,e_2,e_5)
| product2(e_2,e_2,e_4)
| product2(e_2,e_2,e_3)
| product2(e_2,e_2,e_2)
| product2(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f99,f42]) ).
fof(f226,plain,
( product2(e_1,e_2,e_5)
| product2(e_1,e_2,e_4)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f99,f41]) ).
fof(f227,definition,
( sQ25_spl
<=> product2(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( ~ sQ25_spl
| product2(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f229,plain,
( sQ25_spl
| ~ product2(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,definition,
( sQ26_spl
<=> product2(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ26_spl
| product2(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f232,plain,
( sQ26_spl
| ~ product2(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,definition,
( sQ27_spl
<=> product2(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( ~ sQ27_spl
| product2(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f235,plain,
( sQ27_spl
| ~ product2(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,definition,
( sQ28_spl
<=> product2(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ28_spl
| product2(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f238,plain,
( sQ28_spl
| ~ product2(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,definition,
( sQ29_spl
<=> product2(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ29_spl
| product2(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f241,plain,
( sQ29_spl
| ~ product2(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f222,f227,f230,f233,f236,f239]) ).
fof(f243,definition,
( sQ30_spl
<=> product2(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( ~ sQ30_spl
| product2(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f245,plain,
( sQ30_spl
| ~ product2(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,definition,
( sQ31_spl
<=> product2(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ31_spl
| product2(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f248,plain,
( sQ31_spl
| ~ product2(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,definition,
( sQ32_spl
<=> product2(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ32_spl
| product2(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f251,plain,
( sQ32_spl
| ~ product2(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ33_spl
<=> product2(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ33_spl
| product2(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f254,plain,
( sQ33_spl
| ~ product2(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,definition,
( sQ34_spl
<=> product2(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( ~ sQ34_spl
| product2(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f257,plain,
( sQ34_spl
| ~ product2(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f223,f243,f246,f249,f252,f255]) ).
fof(f259,definition,
( sQ35_spl
<=> product2(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( ~ sQ35_spl
| product2(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f261,plain,
( sQ35_spl
| ~ product2(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,definition,
( sQ36_spl
<=> product2(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ36_spl
| product2(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f264,plain,
( sQ36_spl
| ~ product2(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
( sQ37_spl
<=> product2(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ37_spl
| product2(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f267,plain,
( sQ37_spl
| ~ product2(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,definition,
( sQ38_spl
<=> product2(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ38_spl
| product2(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f270,plain,
( sQ38_spl
| ~ product2(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,definition,
( sQ39_spl
<=> product2(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( ~ sQ39_spl
| product2(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f273,plain,
( sQ39_spl
| ~ product2(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f224,f259,f262,f265,f268,f271]) ).
fof(f275,definition,
( sQ40_spl
<=> product2(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ40_spl
| product2(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f277,plain,
( sQ40_spl
| ~ product2(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ41_spl
<=> product2(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f281,definition,
( sQ42_spl
<=> product2(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ42_spl
| product2(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f283,plain,
( sQ42_spl
| ~ product2(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,definition,
( sQ43_spl
<=> product2(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ43_spl
| product2(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f286,plain,
( sQ43_spl
| ~ product2(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,definition,
( sQ44_spl
<=> product2(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f288,plain,
( ~ sQ44_spl
| product2(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f289,plain,
( sQ44_spl
| ~ product2(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f225,f275,f278,f281,f284,f287]) ).
fof(f291,definition,
( sQ45_spl
<=> product2(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ45_spl
| product2(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f293,plain,
( sQ45_spl
| ~ product2(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
( sQ46_spl
<=> product2(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ46_spl
| product2(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f296,plain,
( sQ46_spl
| ~ product2(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
( sQ47_spl
<=> product2(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( ~ sQ47_spl
| product2(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f299,plain,
( sQ47_spl
| ~ product2(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,definition,
( sQ48_spl
<=> product2(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( ~ sQ48_spl
| product2(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f302,plain,
( sQ48_spl
| ~ product2(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,definition,
( sQ49_spl
<=> product2(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f304,plain,
( ~ sQ49_spl
| product2(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f305,plain,
( sQ49_spl
| ~ product2(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f226,f291,f294,f297,f300,f303]) ).
fof(f307,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f179,f80]) ).
fof(f308,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f179,f78]) ).
fof(f309,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f179,f76]) ).
fof(f310,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f176,f80]) ).
fof(f311,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f176,f78]) ).
fof(f312,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f176,f76]) ).
fof(f313,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f173,f80]) ).
fof(f314,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f173,f78]) ).
fof(f315,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f173,f76]) ).
fof(f316,plain,
( ~ sQ16_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f170,f93]) ).
fof(f317,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f170,f80]) ).
fof(f318,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f170,f78]) ).
fof(f319,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f170,f76]) ).
fof(f320,plain,
( ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f316,f46]) ).
fof(f321,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f320]) ).
fof(f322,plain,
( ~ sQ15_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f167,f92]) ).
fof(f323,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f167,f80]) ).
fof(f324,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f167,f78]) ).
fof(f325,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f167,f76]) ).
fof(f326,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f322,f50]) ).
fof(f327,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f326]) ).
fof(f328,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f163,f80]) ).
fof(f329,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f163,f78]) ).
fof(f330,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f163,f76]) ).
fof(f331,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f160,f80]) ).
fof(f332,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f160,f78]) ).
fof(f333,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f160,f76]) ).
fof(f334,plain,
( ~ sQ12_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f157,f93]) ).
fof(f335,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f157,f80]) ).
fof(f336,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f157,f78]) ).
fof(f337,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f157,f76]) ).
fof(f338,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f334,f47]) ).
fof(f339,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f338]) ).
fof(f340,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f154,f80]) ).
fof(f341,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f154,f78]) ).
fof(f342,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f154,f76]) ).
fof(f343,plain,
( ~ sQ10_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f151,f92]) ).
fof(f344,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f151,f80]) ).
fof(f345,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f151,f78]) ).
fof(f346,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f151,f76]) ).
fof(f347,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f343,f54]) ).
fof(f348,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f347]) ).
fof(f349,plain,
( product2(e_5,e_3,e_5)
| product2(e_5,e_3,e_4)
| product2(e_5,e_3,e_3)
| product2(e_5,e_3,e_2)
| product2(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f100,f45]) ).
fof(f350,plain,
( product2(e_4,e_3,e_5)
| product2(e_4,e_3,e_4)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_2)
| product2(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f100,f44]) ).
fof(f351,plain,
( product2(e_3,e_3,e_5)
| product2(e_3,e_3,e_4)
| product2(e_3,e_3,e_3)
| product2(e_3,e_3,e_2)
| product2(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f100,f43]) ).
fof(f352,plain,
( product2(e_2,e_3,e_5)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f100,f42]) ).
fof(f353,plain,
( product2(e_1,e_3,e_5)
| product2(e_1,e_3,e_4)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f100,f41]) ).
fof(f354,definition,
( sQ50_spl
<=> product2(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ50_spl
| product2(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f356,plain,
( sQ50_spl
| ~ product2(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,definition,
( sQ51_spl
<=> product2(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( ~ sQ51_spl
| product2(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f359,plain,
( sQ51_spl
| ~ product2(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,definition,
( sQ52_spl
<=> product2(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ52_spl
| product2(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f362,plain,
( sQ52_spl
| ~ product2(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,definition,
( sQ53_spl
<=> product2(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( ~ sQ53_spl
| product2(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f365,plain,
( sQ53_spl
| ~ product2(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,definition,
( sQ54_spl
<=> product2(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ54_spl
| product2(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f368,plain,
( sQ54_spl
| ~ product2(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f349,f354,f357,f360,f363,f366]) ).
fof(f370,definition,
( sQ55_spl
<=> product2(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ55_spl
| product2(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f372,plain,
( sQ55_spl
| ~ product2(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,definition,
( sQ56_spl
<=> product2(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( ~ sQ56_spl
| product2(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f375,plain,
( sQ56_spl
| ~ product2(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,definition,
( sQ57_spl
<=> product2(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ57_spl
| product2(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f378,plain,
( sQ57_spl
| ~ product2(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,definition,
( sQ58_spl
<=> product2(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ58_spl
| product2(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f381,plain,
( sQ58_spl
| ~ product2(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,definition,
( sQ59_spl
<=> product2(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ59_spl
| product2(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f384,plain,
( sQ59_spl
| ~ product2(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f350,f370,f373,f376,f379,f382]) ).
fof(f386,definition,
( sQ60_spl
<=> product2(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ60_spl
| product2(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f388,plain,
( sQ60_spl
| ~ product2(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,definition,
( sQ61_spl
<=> product2(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ61_spl
| product2(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f391,plain,
( sQ61_spl
| ~ product2(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,definition,
( sQ62_spl
<=> product2(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f395,definition,
( sQ63_spl
<=> product2(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ63_spl
| product2(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f397,plain,
( sQ63_spl
| ~ product2(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ64_spl
<=> product2(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ64_spl
| product2(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f400,plain,
( sQ64_spl
| ~ product2(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f351,f386,f389,f392,f395,f398]) ).
fof(f402,definition,
( sQ65_spl
<=> product2(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ65_spl
| product2(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f404,plain,
( sQ65_spl
| ~ product2(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,definition,
( sQ66_spl
<=> product2(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ66_spl
| product2(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( sQ66_spl
| ~ product2(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ67_spl
<=> product2(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ67_spl
| product2(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f410,plain,
( sQ67_spl
| ~ product2(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ68_spl
<=> product2(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ68_spl
| product2(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f413,plain,
( sQ68_spl
| ~ product2(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ69_spl
<=> product2(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ69_spl
| product2(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f416,plain,
( sQ69_spl
| ~ product2(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f352,f402,f405,f408,f411,f414]) ).
fof(f418,definition,
( sQ70_spl
<=> product2(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ70_spl
| product2(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f420,plain,
( sQ70_spl
| ~ product2(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,definition,
( sQ71_spl
<=> product2(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ71_spl
| product2(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f423,plain,
( sQ71_spl
| ~ product2(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ72_spl
<=> product2(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ72_spl
| product2(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f426,plain,
( sQ72_spl
| ~ product2(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ73_spl
<=> product2(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ73_spl
| product2(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f429,plain,
( sQ73_spl
| ~ product2(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ74_spl
<=> product2(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ74_spl
| product2(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f432,plain,
( sQ74_spl
| ~ product2(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f353,f418,f421,f424,f427,f430]) ).
fof(f434,plain,
( product2(e_5,e_4,e_5)
| product2(e_5,e_4,e_4)
| product2(e_5,e_4,e_3)
| product2(e_5,e_4,e_2)
| product2(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f101,f45]) ).
fof(f435,plain,
( product2(e_4,e_4,e_5)
| product2(e_4,e_4,e_4)
| product2(e_4,e_4,e_3)
| product2(e_4,e_4,e_2)
| product2(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f101,f44]) ).
fof(f436,plain,
( product2(e_3,e_4,e_5)
| product2(e_3,e_4,e_4)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| product2(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f101,f43]) ).
fof(f437,plain,
( product2(e_2,e_4,e_5)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f101,f42]) ).
fof(f438,plain,
( product2(e_1,e_4,e_5)
| product2(e_1,e_4,e_4)
| product2(e_1,e_4,e_3)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f101,f41]) ).
fof(f439,definition,
( sQ75_spl
<=> product2(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( ~ sQ75_spl
| product2(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f441,plain,
( sQ75_spl
| ~ product2(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,definition,
( sQ76_spl
<=> product2(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( ~ sQ76_spl
| product2(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f444,plain,
( sQ76_spl
| ~ product2(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,definition,
( sQ77_spl
<=> product2(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( ~ sQ77_spl
| product2(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f447,plain,
( sQ77_spl
| ~ product2(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,definition,
( sQ78_spl
<=> product2(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( ~ sQ78_spl
| product2(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f450,plain,
( sQ78_spl
| ~ product2(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,definition,
( sQ79_spl
<=> product2(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( ~ sQ79_spl
| product2(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f453,plain,
( sQ79_spl
| ~ product2(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f434,f439,f442,f445,f448,f451]) ).
fof(f455,definition,
( sQ80_spl
<=> product2(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ80_spl
| product2(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f457,plain,
( sQ80_spl
| ~ product2(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,definition,
( sQ81_spl
<=> product2(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ81_spl
| product2(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f460,plain,
( sQ81_spl
| ~ product2(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
( sQ82_spl
<=> product2(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ82_spl
| product2(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f463,plain,
( sQ82_spl
| ~ product2(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,definition,
( sQ83_spl
<=> product2(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f467,definition,
( sQ84_spl
<=> product2(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ84_spl
| product2(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f469,plain,
( sQ84_spl
| ~ product2(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f435,f455,f458,f461,f464,f467]) ).
fof(f471,definition,
( sQ85_spl
<=> product2(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ85_spl
| product2(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f473,plain,
( sQ85_spl
| ~ product2(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
( sQ86_spl
<=> product2(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ86_spl
| product2(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f476,plain,
( sQ86_spl
| ~ product2(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,definition,
( sQ87_spl
<=> product2(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ87_spl
| product2(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f479,plain,
( sQ87_spl
| ~ product2(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,definition,
( sQ88_spl
<=> product2(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ88_spl
| product2(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f482,plain,
( sQ88_spl
| ~ product2(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,definition,
( sQ89_spl
<=> product2(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( ~ sQ89_spl
| product2(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f485,plain,
( sQ89_spl
| ~ product2(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f436,f471,f474,f477,f480,f483]) ).
fof(f487,definition,
( sQ90_spl
<=> product2(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ90_spl
| product2(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f489,plain,
( sQ90_spl
| ~ product2(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ91_spl
<=> product2(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ91_spl
| product2(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f492,plain,
( sQ91_spl
| ~ product2(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ92_spl
<=> product2(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ92_spl
| product2(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f495,plain,
( sQ92_spl
| ~ product2(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,definition,
( sQ93_spl
<=> product2(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( ~ sQ93_spl
| product2(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f498,plain,
( sQ93_spl
| ~ product2(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,definition,
( sQ94_spl
<=> product2(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ94_spl
| product2(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f501,plain,
( sQ94_spl
| ~ product2(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f437,f487,f490,f493,f496,f499]) ).
fof(f503,definition,
( sQ95_spl
<=> product2(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ95_spl
| product2(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f505,plain,
( sQ95_spl
| ~ product2(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ96_spl
<=> product2(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ96_spl
| product2(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f508,plain,
( sQ96_spl
| ~ product2(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,definition,
( sQ97_spl
<=> product2(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( ~ sQ97_spl
| product2(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( sQ97_spl
| ~ product2(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,definition,
( sQ98_spl
<=> product2(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ98_spl
| product2(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f514,plain,
( sQ98_spl
| ~ product2(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
( sQ99_spl
<=> product2(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ99_spl
| product2(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f517,plain,
( sQ99_spl
| ~ product2(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f438,f503,f506,f509,f512,f515]) ).
fof(f519,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f147,f80]) ).
fof(f520,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f147,f78]) ).
fof(f521,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f147,f76]) ).
fof(f522,plain,
( ~ sQ8_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f144,f93]) ).
fof(f523,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f144,f80]) ).
fof(f524,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f144,f78]) ).
fof(f525,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f144,f76]) ).
fof(f526,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f522,f48]) ).
fof(f527,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f526]) ).
fof(f528,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f141,f80]) ).
fof(f529,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f141,f78]) ).
fof(f530,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f141,f76]) ).
fof(f531,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f138,f80]) ).
fof(f532,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f138,f78]) ).
fof(f533,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f138,f76]) ).
fof(f534,plain,
( ~ sQ5_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f135,f92]) ).
fof(f535,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f135,f80]) ).
fof(f536,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f135,f78]) ).
fof(f537,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f135,f76]) ).
fof(f538,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f534,f58]) ).
fof(f539,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f538]) ).
fof(f540,plain,
( ~ sQ4_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f131,f93]) ).
fof(f541,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f131,f80]) ).
fof(f542,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f131,f78]) ).
fof(f543,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_5)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f131,f76]) ).
fof(f544,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f540,f49]) ).
fof(f545,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f544]) ).
fof(f546,plain,
! [X0] :
( product1(X0,e_5,e_5)
| product1(X0,e_5,e_4)
| product1(X0,e_5,e_3)
| product1(X0,e_5,e_2)
| product1(X0,e_5,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f66,f45]) ).
fof(f547,plain,
! [X0] :
( product1(X0,e_4,e_5)
| product1(X0,e_4,e_4)
| product1(X0,e_4,e_3)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f66,f44]) ).
fof(f548,plain,
! [X0] :
( product1(X0,e_3,e_5)
| product1(X0,e_3,e_4)
| product1(X0,e_3,e_3)
| product1(X0,e_3,e_2)
| product1(X0,e_3,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f66,f43]) ).
fof(f549,plain,
! [X0] :
( product1(X0,e_2,e_5)
| product1(X0,e_2,e_4)
| product1(X0,e_2,e_3)
| product1(X0,e_2,e_2)
| product1(X0,e_2,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f66,f42]) ).
fof(f550,plain,
! [X0] :
( product1(X0,e_1,e_5)
| product1(X0,e_1,e_4)
| product1(X0,e_1,e_3)
| product1(X0,e_1,e_2)
| product1(X0,e_1,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f66,f41]) ).
fof(f551,plain,
( product2(e_5,e_5,e_5)
| product2(e_5,e_5,e_4)
| product2(e_5,e_5,e_3)
| product2(e_5,e_5,e_2)
| product2(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f102,f45]) ).
fof(f552,plain,
( product2(e_4,e_5,e_5)
| product2(e_4,e_5,e_4)
| product2(e_4,e_5,e_3)
| product2(e_4,e_5,e_2)
| product2(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f102,f44]) ).
fof(f553,plain,
( product2(e_3,e_5,e_5)
| product2(e_3,e_5,e_4)
| product2(e_3,e_5,e_3)
| product2(e_3,e_5,e_2)
| product2(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f102,f43]) ).
fof(f554,plain,
( product2(e_2,e_5,e_5)
| product2(e_2,e_5,e_4)
| product2(e_2,e_5,e_3)
| product2(e_2,e_5,e_2)
| product2(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f102,f42]) ).
fof(f555,plain,
( product2(e_1,e_5,e_5)
| product2(e_1,e_5,e_4)
| product2(e_1,e_5,e_3)
| product2(e_1,e_5,e_2)
| product2(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f102,f41]) ).
fof(f556,definition,
( sQ100_spl
<=> product2(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f557,plain,
( ~ sQ100_spl
| product2(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f558,plain,
( sQ100_spl
| ~ product2(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f559,definition,
( sQ101_spl
<=> product2(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f560,plain,
( ~ sQ101_spl
| product2(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f561,plain,
( sQ101_spl
| ~ product2(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f562,definition,
( sQ102_spl
<=> product2(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f563,plain,
( ~ sQ102_spl
| product2(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f564,plain,
( sQ102_spl
| ~ product2(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,definition,
( sQ103_spl
<=> product2(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f566,plain,
( ~ sQ103_spl
| product2(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f567,plain,
( sQ103_spl
| ~ product2(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,definition,
( sQ104_spl
<=> product2(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f551,f556,f559,f562,f565,f568]) ).
fof(f572,definition,
( sQ105_spl
<=> product2(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( ~ sQ105_spl
| product2(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f574,plain,
( sQ105_spl
| ~ product2(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,definition,
( sQ106_spl
<=> product2(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( ~ sQ106_spl
| product2(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f577,plain,
( sQ106_spl
| ~ product2(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,definition,
( sQ107_spl
<=> product2(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f579,plain,
( ~ sQ107_spl
| product2(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f580,plain,
( sQ107_spl
| ~ product2(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,definition,
( sQ108_spl
<=> product2(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( ~ sQ108_spl
| product2(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f583,plain,
( sQ108_spl
| ~ product2(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,definition,
( sQ109_spl
<=> product2(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ109_spl
| product2(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f586,plain,
( sQ109_spl
| ~ product2(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f552,f572,f575,f578,f581,f584]) ).
fof(f588,definition,
( sQ110_spl
<=> product2(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( ~ sQ110_spl
| product2(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f590,plain,
( sQ110_spl
| ~ product2(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,definition,
( sQ111_spl
<=> product2(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f592,plain,
( ~ sQ111_spl
| product2(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f593,plain,
( sQ111_spl
| ~ product2(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f594,definition,
( sQ112_spl
<=> product2(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f595,plain,
( ~ sQ112_spl
| product2(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f596,plain,
( sQ112_spl
| ~ product2(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,definition,
( sQ113_spl
<=> product2(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ113_spl
| product2(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f599,plain,
( sQ113_spl
| ~ product2(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,definition,
( sQ114_spl
<=> product2(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( ~ sQ114_spl
| product2(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f602,plain,
( sQ114_spl
| ~ product2(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f553,f588,f591,f594,f597,f600]) ).
fof(f604,definition,
( sQ115_spl
<=> product2(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( ~ sQ115_spl
| product2(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f606,plain,
( sQ115_spl
| ~ product2(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,definition,
( sQ116_spl
<=> product2(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ116_spl
| product2(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f609,plain,
( sQ116_spl
| ~ product2(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,definition,
( sQ117_spl
<=> product2(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( ~ sQ117_spl
| product2(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f612,plain,
( sQ117_spl
| ~ product2(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,definition,
( sQ118_spl
<=> product2(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f614,plain,
( ~ sQ118_spl
| product2(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f615,plain,
( sQ118_spl
| ~ product2(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,definition,
( sQ119_spl
<=> product2(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( ~ sQ119_spl
| product2(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f618,plain,
( sQ119_spl
| ~ product2(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f554,f604,f607,f610,f613,f616]) ).
fof(f620,definition,
( sQ120_spl
<=> product2(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ120_spl
| product2(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f622,plain,
( sQ120_spl
| ~ product2(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,definition,
( sQ121_spl
<=> product2(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( ~ sQ121_spl
| product2(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f625,plain,
( sQ121_spl
| ~ product2(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,definition,
( sQ122_spl
<=> product2(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f627,plain,
( ~ sQ122_spl
| product2(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f628,plain,
( sQ122_spl
| ~ product2(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f629,definition,
( sQ123_spl
<=> product2(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f630,plain,
( ~ sQ123_spl
| product2(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f631,plain,
( sQ123_spl
| ~ product2(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,definition,
( sQ124_spl
<=> product2(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f633,plain,
( ~ sQ124_spl
| product2(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f634,plain,
( sQ124_spl
| ~ product2(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f635,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f555,f620,f623,f626,f629,f632]) ).
fof(f636,plain,
( product(e_5,e_5,e_5)
| product(e_4,e_5,e_5)
| product(e_3,e_5,e_5)
| product(e_2,e_5,e_5)
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f103,f45]) ).
fof(f637,plain,
( product(e_5,e_4,e_5)
| product(e_4,e_4,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_4,e_5)
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f103,f44]) ).
fof(f638,plain,
( product(e_5,e_3,e_5)
| product(e_4,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f103,f43]) ).
fof(f639,plain,
( product(e_5,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_2,e_2,e_5)
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f103,f42]) ).
fof(f640,plain,
( product(e_5,e_1,e_5)
| product(e_4,e_1,e_5)
| product(e_3,e_1,e_5)
| product(e_2,e_1,e_5)
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f103,f41]) ).
fof(f641,definition,
( sQ125_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( ~ sQ125_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,definition,
( sQ126_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( ~ sQ126_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,definition,
( sQ127_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f648,plain,
( ~ sQ127_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f650,definition,
( sQ128_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f651,plain,
( ~ sQ128_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f653,definition,
( sQ129_spl
<=> product(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f654,plain,
( ~ sQ129_spl
| product(e_5,e_5,e_5) ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,plain,
( sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f636,f641,f644,f647,f650,f653]) ).
fof(f657,definition,
( sQ130_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f658,plain,
( ~ sQ130_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f657]) ).
fof(f660,definition,
( sQ131_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f661,plain,
( ~ sQ131_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f663,definition,
( sQ132_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( ~ sQ132_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f666,definition,
( sQ133_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f667,plain,
( ~ sQ133_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f669,definition,
( sQ134_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( ~ sQ134_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,plain,
( sQ134_spl
| sQ133_spl
| sQ132_spl
| sQ131_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f637,f657,f660,f663,f666,f669]) ).
fof(f673,definition,
( sQ135_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f674,plain,
( ~ sQ135_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f676,definition,
( sQ136_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f677,plain,
( ~ sQ136_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,definition,
( sQ137_spl
<=> product(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f680,plain,
( ~ sQ137_spl
| product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f682,definition,
( sQ138_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f683,plain,
( ~ sQ138_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f685,definition,
( sQ139_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f686,plain,
( ~ sQ139_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f688,plain,
( sQ139_spl
| sQ138_spl
| sQ137_spl
| sQ136_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f638,f673,f676,f679,f682,f685]) ).
fof(f689,definition,
( sQ140_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f690,plain,
( ~ sQ140_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f689]) ).
fof(f692,definition,
( sQ141_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f693,plain,
( ~ sQ141_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f692]) ).
fof(f695,definition,
( sQ142_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f696,plain,
( ~ sQ142_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f695]) ).
fof(f698,definition,
( sQ143_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f699,plain,
( ~ sQ143_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f701,definition,
( sQ144_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f702,plain,
( ~ sQ144_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f704,plain,
( sQ144_spl
| sQ143_spl
| sQ142_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f639,f689,f692,f695,f698,f701]) ).
fof(f705,definition,
( sQ145_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f706,plain,
( ~ sQ145_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f708,definition,
( sQ146_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f709,plain,
( ~ sQ146_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f711,definition,
( sQ147_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f712,plain,
( ~ sQ147_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f714,definition,
( sQ148_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f715,plain,
( ~ sQ148_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,definition,
( sQ149_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f718,plain,
( ~ sQ149_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f720,plain,
( sQ149_spl
| sQ148_spl
| sQ147_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f640,f705,f708,f711,f714,f717]) ).
fof(f721,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f304,f80]) ).
fof(f722,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f304,f78]) ).
fof(f723,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f304,f76]) ).
fof(f724,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f301,f80]) ).
fof(f725,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f301,f78]) ).
fof(f726,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f301,f76]) ).
fof(f727,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f298,f80]) ).
fof(f728,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f298,f78]) ).
fof(f729,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f298,f76]) ).
fof(f730,plain,
( ~ sQ46_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f295,f92]) ).
fof(f731,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f295,f80]) ).
fof(f732,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f295,f78]) ).
fof(f733,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f295,f76]) ).
fof(f734,plain,
( ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f730,f46]) ).
fof(f735,plain,
~ sQ46_spl,
inference(contradiction_clause,[status(thm)],[f734]) ).
fof(f736,plain,
( ~ sQ45_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f292,f93]) ).
fof(f737,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f292,f80]) ).
fof(f738,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f292,f78]) ).
fof(f739,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f292,f76]) ).
fof(f740,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f736,f50]) ).
fof(f741,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f740]) ).
fof(f742,plain,
( ~ sQ44_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f288,f94]) ).
fof(f743,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f288,f80]) ).
fof(f744,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f288,f78]) ).
fof(f745,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f288,f76]) ).
fof(f746,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f742,f63]) ).
fof(f747,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f746]) ).
fof(f748,plain,
( ~ sQ43_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f285,f94]) ).
fof(f749,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f285,f80]) ).
fof(f750,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f285,f78]) ).
fof(f751,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f285,f76]) ).
fof(f752,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f748,f59]) ).
fof(f753,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f752]) ).
fof(f754,plain,
( ~ sQ42_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f282,f94]) ).
fof(f755,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f282,f80]) ).
fof(f756,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f282,f78]) ).
fof(f757,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f282,f76]) ).
fof(f758,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f754,f55]) ).
fof(f759,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f758]) ).
fof(f760,plain,
( ~ sQ40_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f276,f94]) ).
fof(f761,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f276,f80]) ).
fof(f762,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f276,f78]) ).
fof(f763,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f276,f76]) ).
fof(f764,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f760,f46]) ).
fof(f765,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f764]) ).
fof(f766,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f272,f80]) ).
fof(f767,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f272,f78]) ).
fof(f768,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f272,f76]) ).
fof(f769,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f269,f80]) ).
fof(f770,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f269,f78]) ).
fof(f771,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f269,f76]) ).
fof(f772,plain,
( ~ sQ37_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f266,f93]) ).
fof(f773,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f266,f80]) ).
fof(f774,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f266,f78]) ).
fof(f775,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f266,f76]) ).
fof(f776,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f772,f51]) ).
fof(f777,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f776]) ).
fof(f778,plain,
( ~ sQ36_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f263,f92]) ).
fof(f779,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f263,f80]) ).
fof(f780,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f263,f78]) ).
fof(f781,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f263,f76]) ).
fof(f782,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f778,f55]) ).
fof(f783,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f782]) ).
fof(f784,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f260,f80]) ).
fof(f785,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f260,f78]) ).
fof(f786,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f260,f76]) ).
fof(f787,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f256,f80]) ).
fof(f788,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f256,f78]) ).
fof(f789,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f256,f76]) ).
fof(f790,plain,
( ~ sQ33_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f253,f93]) ).
fof(f791,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f253,f80]) ).
fof(f792,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f253,f78]) ).
fof(f793,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f253,f76]) ).
fof(f794,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f790,f52]) ).
fof(f795,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f794]) ).
fof(f796,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f250,f80]) ).
fof(f797,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f250,f78]) ).
fof(f798,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f250,f76]) ).
fof(f799,plain,
( ~ sQ31_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f247,f92]) ).
fof(f800,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f247,f80]) ).
fof(f801,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f247,f78]) ).
fof(f802,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f247,f76]) ).
fof(f803,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f799,f59]) ).
fof(f804,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f803]) ).
fof(f808,plain,
( ~ sQ29_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f240,f93]) ).
fof(f809,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f240,f80]) ).
fof(f810,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f240,f78]) ).
fof(f811,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_5)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f240,f76]) ).
fof(f812,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f808,f53]) ).
fof(f813,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f812]) ).
fof(f814,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f237,f80]) ).
fof(f815,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f237,f78]) ).
fof(f816,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f237,f76]) ).
fof(f817,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f234,f80]) ).
fof(f818,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f234,f78]) ).
fof(f819,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f234,f76]) ).
fof(f820,plain,
( ~ sQ26_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f231,f92]) ).
fof(f821,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f231,f80]) ).
fof(f822,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f231,f78]) ).
fof(f823,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f231,f76]) ).
fof(f824,plain,
( ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f820,f63]) ).
fof(f825,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f824]) ).
fof(f826,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f228,f80]) ).
fof(f827,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f228,f78]) ).
fof(f828,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f228,f76]) ).
fof(f829,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f431,f80]) ).
fof(f830,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f431,f78]) ).
fof(f831,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f431,f76]) ).
fof(f832,plain,
( product(e_5,e_5,e_4)
| product(e_4,e_5,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_5,e_4)
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f104,f45]) ).
fof(f833,plain,
( product(e_5,e_4,e_4)
| product(e_4,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f44]) ).
fof(f834,plain,
( product(e_5,e_3,e_4)
| product(e_4,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f104,f43]) ).
fof(f835,plain,
( product(e_5,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f104,f42]) ).
fof(f836,plain,
( product(e_5,e_1,e_4)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f104,f41]) ).
fof(f837,definition,
( sQ150_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f838,plain,
( ~ sQ150_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,definition,
( sQ151_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f841,plain,
( ~ sQ151_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,definition,
( sQ152_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f844,plain,
( ~ sQ152_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,definition,
( sQ153_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( ~ sQ153_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,definition,
( sQ154_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( ~ sQ154_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f852,plain,
( sQ154_spl
| sQ153_spl
| sQ152_spl
| sQ151_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f832,f837,f840,f843,f846,f849]) ).
fof(f853,definition,
( sQ155_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f854,plain,
( ~ sQ155_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f853]) ).
fof(f856,definition,
( sQ156_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f857,plain,
( ~ sQ156_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f856]) ).
fof(f859,definition,
( sQ157_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f860,plain,
( ~ sQ157_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f859]) ).
fof(f862,definition,
( sQ158_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( ~ sQ158_spl
| product(e_4,e_4,e_4) ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,definition,
( sQ159_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f866,plain,
( ~ sQ159_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f865]) ).
fof(f868,plain,
( sQ159_spl
| sQ158_spl
| sQ157_spl
| sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f833,f853,f856,f859,f862,f865]) ).
fof(f869,definition,
( sQ160_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f870,plain,
( ~ sQ160_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f869]) ).
fof(f872,definition,
( sQ161_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f873,plain,
( ~ sQ161_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f872]) ).
fof(f875,definition,
( sQ162_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f876,plain,
( ~ sQ162_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f875]) ).
fof(f878,definition,
( sQ163_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f879,plain,
( ~ sQ163_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f881,definition,
( sQ164_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f882,plain,
( ~ sQ164_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f881]) ).
fof(f884,plain,
( sQ164_spl
| sQ163_spl
| sQ162_spl
| sQ161_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f834,f869,f872,f875,f878,f881]) ).
fof(f885,definition,
( sQ165_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f886,plain,
( ~ sQ165_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,definition,
( sQ166_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f889,plain,
( ~ sQ166_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f891,definition,
( sQ167_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f892,plain,
( ~ sQ167_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f891]) ).
fof(f894,definition,
( sQ168_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f895,plain,
( ~ sQ168_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f894]) ).
fof(f897,definition,
( sQ169_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f898,plain,
( ~ sQ169_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f900,plain,
( sQ169_spl
| sQ168_spl
| sQ167_spl
| sQ166_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f835,f885,f888,f891,f894,f897]) ).
fof(f901,definition,
( sQ170_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f902,plain,
( ~ sQ170_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f904,definition,
( sQ171_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f905,plain,
( ~ sQ171_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,definition,
( sQ172_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f908,plain,
( ~ sQ172_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f910,definition,
( sQ173_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f911,plain,
( ~ sQ173_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f910]) ).
fof(f913,definition,
( sQ174_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f914,plain,
( ~ sQ174_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f916,plain,
( sQ174_spl
| sQ173_spl
| sQ172_spl
| sQ171_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f836,f901,f904,f907,f910,f913]) ).
fof(f917,plain,
( product(e_5,e_5,e_3)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_3)
| product(e_2,e_5,e_3)
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f105,f45]) ).
fof(f918,plain,
( product(e_5,e_4,e_3)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f105,f44]) ).
fof(f919,plain,
( product(e_5,e_3,e_3)
| product(e_4,e_3,e_3)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f105,f43]) ).
fof(f920,plain,
( product(e_5,e_2,e_3)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f105,f42]) ).
fof(f921,plain,
( product(e_5,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f105,f41]) ).
fof(f922,definition,
( sQ175_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f923,plain,
( ~ sQ175_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f925,definition,
( sQ176_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f926,plain,
( ~ sQ176_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f925]) ).
fof(f928,definition,
( sQ177_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f929,plain,
( ~ sQ177_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f931,definition,
( sQ178_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f932,plain,
( ~ sQ178_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f931]) ).
fof(f934,definition,
( sQ179_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f935,plain,
( ~ sQ179_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,plain,
( sQ179_spl
| sQ178_spl
| sQ177_spl
| sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f917,f922,f925,f928,f931,f934]) ).
fof(f938,definition,
( sQ180_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( ~ sQ180_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f941,definition,
( sQ181_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f942,plain,
( ~ sQ181_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f941]) ).
fof(f944,definition,
( sQ182_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f945,plain,
( ~ sQ182_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f944]) ).
fof(f947,definition,
( sQ183_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f948,plain,
( ~ sQ183_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f947]) ).
fof(f950,definition,
( sQ184_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f951,plain,
( ~ sQ184_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f950]) ).
fof(f953,plain,
( sQ184_spl
| sQ183_spl
| sQ182_spl
| sQ181_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f918,f938,f941,f944,f947,f950]) ).
fof(f954,definition,
( sQ185_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f955,plain,
( ~ sQ185_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f957,definition,
( sQ186_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f958,plain,
( ~ sQ186_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f960,definition,
( sQ187_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f961,plain,
( ~ sQ187_spl
| product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,definition,
( sQ188_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f964,plain,
( ~ sQ188_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f966,definition,
( sQ189_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f967,plain,
( ~ sQ189_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f969,plain,
( sQ189_spl
| sQ188_spl
| sQ187_spl
| sQ186_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f919,f954,f957,f960,f963,f966]) ).
fof(f970,definition,
( sQ190_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( ~ sQ190_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f973,definition,
( sQ191_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f974,plain,
( ~ sQ191_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f973]) ).
fof(f976,definition,
( sQ192_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f977,plain,
( ~ sQ192_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f976]) ).
fof(f979,definition,
( sQ193_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f980,plain,
( ~ sQ193_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f982,definition,
( sQ194_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f983,plain,
( ~ sQ194_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f982]) ).
fof(f985,plain,
( sQ194_spl
| sQ193_spl
| sQ192_spl
| sQ191_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f920,f970,f973,f976,f979,f982]) ).
fof(f986,definition,
( sQ195_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f987,plain,
( ~ sQ195_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f989,definition,
( sQ196_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f990,plain,
( ~ sQ196_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f989]) ).
fof(f992,definition,
( sQ197_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f993,plain,
( ~ sQ197_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f992]) ).
fof(f995,definition,
( sQ198_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f996,plain,
( ~ sQ198_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f998,definition,
( sQ199_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f999,plain,
( ~ sQ199_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f998]) ).
fof(f1001,plain,
( sQ199_spl
| sQ198_spl
| sQ197_spl
| sQ196_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f921,f986,f989,f992,f995,f998]) ).
fof(f1002,plain,
( product(e_5,e_5,e_2)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f106,f45]) ).
fof(f1003,plain,
( product(e_5,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f106,f44]) ).
fof(f1004,plain,
( product(e_5,e_3,e_2)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f106,f43]) ).
fof(f1005,plain,
( product(e_5,e_2,e_2)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f106,f42]) ).
fof(f1006,plain,
( product(e_5,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f106,f41]) ).
fof(f1007,definition,
( sQ200_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1008,plain,
( ~ sQ200_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1007]) ).
fof(f1010,definition,
( sQ201_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1011,plain,
( ~ sQ201_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1010]) ).
fof(f1013,definition,
( sQ202_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1014,plain,
( ~ sQ202_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1013]) ).
fof(f1016,definition,
( sQ203_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1017,plain,
( ~ sQ203_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1016]) ).
fof(f1019,definition,
( sQ204_spl
<=> product(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1020,plain,
( ~ sQ204_spl
| product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1019]) ).
fof(f1022,plain,
( sQ204_spl
| sQ203_spl
| sQ202_spl
| sQ201_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1002,f1007,f1010,f1013,f1016,f1019]) ).
fof(f1023,definition,
( sQ205_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1024,plain,
( ~ sQ205_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1023]) ).
fof(f1026,definition,
( sQ206_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1027,plain,
( ~ sQ206_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1026]) ).
fof(f1029,definition,
( sQ207_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1030,plain,
( ~ sQ207_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1029]) ).
fof(f1032,definition,
( sQ208_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1033,plain,
( ~ sQ208_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1035,definition,
( sQ209_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1036,plain,
( ~ sQ209_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1035]) ).
fof(f1038,plain,
( sQ209_spl
| sQ208_spl
| sQ207_spl
| sQ206_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1003,f1023,f1026,f1029,f1032,f1035]) ).
fof(f1039,definition,
( sQ210_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1040,plain,
( ~ sQ210_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1039]) ).
fof(f1042,definition,
( sQ211_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1043,plain,
( ~ sQ211_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1042]) ).
fof(f1045,definition,
( sQ212_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1046,plain,
( ~ sQ212_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1045]) ).
fof(f1048,definition,
( sQ213_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1049,plain,
( ~ sQ213_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1048]) ).
fof(f1051,definition,
( sQ214_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1052,plain,
( ~ sQ214_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1051]) ).
fof(f1054,plain,
( sQ214_spl
| sQ213_spl
| sQ212_spl
| sQ211_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1004,f1039,f1042,f1045,f1048,f1051]) ).
fof(f1055,definition,
( sQ215_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1056,plain,
( ~ sQ215_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1055]) ).
fof(f1058,definition,
( sQ216_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1059,plain,
( ~ sQ216_spl
| product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1058]) ).
fof(f1061,definition,
( sQ217_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1062,plain,
( ~ sQ217_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1061]) ).
fof(f1064,definition,
( sQ218_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1065,plain,
( ~ sQ218_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1064]) ).
fof(f1067,definition,
( sQ219_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1068,plain,
( ~ sQ219_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1070,plain,
( sQ219_spl
| sQ218_spl
| sQ217_spl
| sQ216_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f1005,f1055,f1058,f1061,f1064,f1067]) ).
fof(f1071,definition,
( sQ220_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1072,plain,
( ~ sQ220_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1071]) ).
fof(f1074,definition,
( sQ221_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1075,plain,
( ~ sQ221_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1074]) ).
fof(f1077,definition,
( sQ222_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1078,plain,
( ~ sQ222_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1077]) ).
fof(f1080,definition,
( sQ223_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1081,plain,
( ~ sQ223_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1080]) ).
fof(f1083,definition,
( sQ224_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1084,plain,
( ~ sQ224_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1083]) ).
fof(f1086,plain,
( sQ224_spl
| sQ223_spl
| sQ222_spl
| sQ221_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f1006,f1071,f1074,f1077,f1080,f1083]) ).
fof(f1087,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f428,f80]) ).
fof(f1088,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f428,f78]) ).
fof(f1089,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f428,f76]) ).
fof(f1090,plain,
( ~ sQ72_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f425,f92]) ).
fof(f1091,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f425,f80]) ).
fof(f1092,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f425,f78]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f425,f76]) ).
fof(f1094,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1090,f47]) ).
fof(f1095,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f1094]) ).
fof(f1096,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f422,f80]) ).
fof(f1097,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f422,f78]) ).
fof(f1098,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f422,f76]) ).
fof(f1099,plain,
( ~ sQ70_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f419,f93]) ).
fof(f1100,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f419,f80]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f419,f78]) ).
fof(f1102,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f419,f76]) ).
fof(f1103,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1099,f54]) ).
fof(f1104,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f1103]) ).
fof(f1105,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f415,f80]) ).
fof(f1106,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f415,f78]) ).
fof(f1107,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f415,f76]) ).
fof(f1108,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f412,f80]) ).
fof(f1109,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f412,f78]) ).
fof(f1110,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f412,f76]) ).
fof(f1111,plain,
( ~ sQ67_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f409,f92]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f409,f80]) ).
fof(f1113,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f409,f78]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f409,f76]) ).
fof(f1115,plain,
( ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1111,f51]) ).
fof(f1116,plain,
~ sQ67_spl,
inference(contradiction_clause,[status(thm)],[f1115]) ).
fof(f1117,plain,
( ~ sQ66_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f406,f93]) ).
fof(f1118,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f406,f80]) ).
fof(f1119,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f406,f78]) ).
fof(f1120,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f406,f76]) ).
fof(f1121,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1117,f55]) ).
fof(f1122,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f1121]) ).
fof(f1123,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f403,f80]) ).
fof(f1124,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f403,f78]) ).
fof(f1125,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f403,f76]) ).
fof(f1126,plain,
( ~ sQ64_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f399,f94]) ).
fof(f1127,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f399,f80]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f399,f78]) ).
fof(f1129,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f399,f76]) ).
fof(f1130,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1126,f64]) ).
fof(f1131,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f1130]) ).
fof(f1132,plain,
( ~ sQ63_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f396,f94]) ).
fof(f1133,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f396,f80]) ).
fof(f1134,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f396,f78]) ).
fof(f1135,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f396,f76]) ).
fof(f1136,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1132,f60]) ).
fof(f1137,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f1136]) ).
fof(f1138,plain,
( ~ sQ61_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f390,f94]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f390,f80]) ).
fof(f1140,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f390,f78]) ).
fof(f1141,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f390,f76]) ).
fof(f1142,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1138,f51]) ).
fof(f1143,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f1142]) ).
fof(f1144,plain,
( ~ sQ60_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f387,f94]) ).
fof(f1145,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f387,f80]) ).
fof(f1146,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f387,f78]) ).
fof(f1147,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f387,f76]) ).
fof(f1148,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1144,f47]) ).
fof(f1149,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1148]) ).
fof(f1150,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f383,f80]) ).
fof(f1151,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f383,f78]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f383,f76]) ).
fof(f1153,plain,
( ~ sQ58_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f380,f93]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f380,f80]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f380,f78]) ).
fof(f1156,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f380,f76]) ).
fof(f1157,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1153,f56]) ).
fof(f1158,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f1157]) ).
fof(f1159,plain,
( ~ sQ57_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f377,f92]) ).
fof(f1160,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f377,f80]) ).
fof(f1161,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f377,f78]) ).
fof(f1162,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f377,f76]) ).
fof(f1163,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1159,f60]) ).
fof(f1164,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f1163]) ).
fof(f1165,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f374,f80]) ).
fof(f1166,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f374,f78]) ).
fof(f1167,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f374,f76]) ).
fof(f1168,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f371,f80]) ).
fof(f1169,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f371,f78]) ).
fof(f1170,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f371,f76]) ).
fof(f1171,plain,
( ~ sQ54_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f367,f93]) ).
fof(f1172,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f367,f80]) ).
fof(f1173,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f367,f78]) ).
fof(f1174,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f367,f76]) ).
fof(f1175,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1171,f57]) ).
fof(f1176,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f1175]) ).
fof(f1180,plain,
( ~ sQ52_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f361,f92]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f361,f80]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f361,f78]) ).
fof(f1183,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f361,f76]) ).
fof(f1184,plain,
( ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1180,f64]) ).
fof(f1185,plain,
~ sQ52_spl,
inference(contradiction_clause,[status(thm)],[f1184]) ).
fof(f1186,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f358,f80]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f358,f78]) ).
fof(f1188,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f358,f76]) ).
fof(f1189,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f355,f80]) ).
fof(f1190,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f355,f78]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f355,f76]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f516,f80]) ).
fof(f1193,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f516,f78]) ).
fof(f1194,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f516,f76]) ).
fof(f1195,plain,
( ~ sQ98_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f513,f92]) ).
fof(f1196,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f513,f80]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f513,f78]) ).
fof(f1198,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f513,f76]) ).
fof(f1199,plain,
( ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1195,f48]) ).
fof(f1200,plain,
~ sQ98_spl,
inference(contradiction_clause,[status(thm)],[f1199]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f510,f80]) ).
fof(f1202,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f510,f78]) ).
fof(f1203,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f510,f76]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f507,f80]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f507,f78]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f507,f76]) ).
fof(f1207,plain,
( ~ sQ95_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f504,f93]) ).
fof(f1208,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f504,f80]) ).
fof(f1209,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f504,f78]) ).
fof(f1210,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f504,f76]) ).
fof(f1211,plain,
( ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1207,f58]) ).
fof(f1212,plain,
~ sQ95_spl,
inference(contradiction_clause,[status(thm)],[f1211]) ).
fof(f1213,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f500,f80]) ).
fof(f1214,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f500,f78]) ).
fof(f1215,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f500,f76]) ).
fof(f1216,plain,
( ~ sQ93_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f497,f92]) ).
fof(f1217,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f497,f80]) ).
fof(f1218,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f497,f78]) ).
fof(f1219,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f497,f76]) ).
fof(f1220,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1216,f52]) ).
fof(f1221,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f1220]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f494,f80]) ).
fof(f1223,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f494,f78]) ).
fof(f1224,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f494,f76]) ).
fof(f1225,plain,
( ~ sQ91_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f491,f93]) ).
fof(f1226,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f491,f80]) ).
fof(f1227,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f491,f78]) ).
fof(f1228,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f491,f76]) ).
fof(f1229,plain,
( ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1225,f59]) ).
fof(f1230,plain,
~ sQ91_spl,
inference(contradiction_clause,[status(thm)],[f1229]) ).
fof(f1231,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f488,f80]) ).
fof(f1232,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f488,f78]) ).
fof(f1233,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f488,f76]) ).
fof(f1234,plain,
( product(e_5,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f107,f45]) ).
fof(f1235,plain,
( product(e_5,e_4,e_1)
| product(e_4,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f107,f44]) ).
fof(f1236,plain,
( product(e_5,e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f107,f43]) ).
fof(f1237,plain,
( product(e_5,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f107,f42]) ).
fof(f1238,plain,
( product(e_5,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f107,f41]) ).
fof(f1239,definition,
( sQ225_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1240,plain,
( ~ sQ225_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1239]) ).
fof(f1242,definition,
( sQ226_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1243,plain,
( ~ sQ226_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1242]) ).
fof(f1245,definition,
( sQ227_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1246,plain,
( ~ sQ227_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1245]) ).
fof(f1248,definition,
( sQ228_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1249,plain,
( ~ sQ228_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1248]) ).
fof(f1251,definition,
( sQ229_spl
<=> product(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1252,plain,
( ~ sQ229_spl
| product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1251]) ).
fof(f1254,plain,
( sQ229_spl
| sQ228_spl
| sQ227_spl
| sQ226_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f1234,f1239,f1242,f1245,f1248,f1251]) ).
fof(f1255,definition,
( sQ230_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1256,plain,
( ~ sQ230_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1255]) ).
fof(f1258,definition,
( sQ231_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1259,plain,
( ~ sQ231_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1258]) ).
fof(f1261,definition,
( sQ232_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1262,plain,
( ~ sQ232_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1261]) ).
fof(f1264,definition,
( sQ233_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1265,plain,
( ~ sQ233_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1264]) ).
fof(f1267,definition,
( sQ234_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1268,plain,
( ~ sQ234_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1267]) ).
fof(f1270,plain,
( sQ234_spl
| sQ233_spl
| sQ232_spl
| sQ231_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f1235,f1255,f1258,f1261,f1264,f1267]) ).
fof(f1271,definition,
( sQ235_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1272,plain,
( ~ sQ235_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1271]) ).
fof(f1274,definition,
( sQ236_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1275,plain,
( ~ sQ236_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1274]) ).
fof(f1277,definition,
( sQ237_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1278,plain,
( ~ sQ237_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1277]) ).
fof(f1280,definition,
( sQ238_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1281,plain,
( ~ sQ238_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1280]) ).
fof(f1283,definition,
( sQ239_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1284,plain,
( ~ sQ239_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1283]) ).
fof(f1286,plain,
( sQ239_spl
| sQ238_spl
| sQ237_spl
| sQ236_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f1236,f1271,f1274,f1277,f1280,f1283]) ).
fof(f1287,definition,
( sQ240_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1288,plain,
( ~ sQ240_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1287]) ).
fof(f1290,definition,
( sQ241_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1291,plain,
( ~ sQ241_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1290]) ).
fof(f1293,definition,
( sQ242_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1294,plain,
( ~ sQ242_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1293]) ).
fof(f1296,definition,
( sQ243_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f1297,plain,
( ~ sQ243_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1296]) ).
fof(f1299,definition,
( sQ244_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f1300,plain,
( ~ sQ244_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1299]) ).
fof(f1302,plain,
( sQ244_spl
| sQ243_spl
| sQ242_spl
| sQ241_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f1237,f1287,f1290,f1293,f1296,f1299]) ).
fof(f1303,definition,
( sQ245_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1304,plain,
( ~ sQ245_spl
| product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1303]) ).
fof(f1306,definition,
( sQ246_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f1307,plain,
( ~ sQ246_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1306]) ).
fof(f1309,definition,
( sQ247_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1310,plain,
( ~ sQ247_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1309]) ).
fof(f1312,definition,
( sQ248_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f1313,plain,
( ~ sQ248_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1312]) ).
fof(f1315,definition,
( sQ249_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f1316,plain,
( ~ sQ249_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1315]) ).
fof(f1318,plain,
( sQ249_spl
| sQ248_spl
| sQ247_spl
| sQ246_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f1238,f1303,f1306,f1309,f1312,f1315]) ).
fof(f1319,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_4,e_5)
| product(e_5,e_3,e_5)
| product(e_5,e_2,e_5)
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f108,f45]) ).
fof(f1320,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_4,e_5)
| product(e_4,e_3,e_5)
| product(e_4,e_2,e_5)
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f108,f44]) ).
fof(f1321,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_5)
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f108,f43]) ).
fof(f1322,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f108,f42]) ).
fof(f1323,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_4,e_5)
| product(e_1,e_3,e_5)
| product(e_1,e_2,e_5)
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f108,f41]) ).
fof(f1324,plain,
( sQ129_spl
| sQ134_spl
| sQ139_spl
| sQ144_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f1319,f717,f701,f685,f669,f653]) ).
fof(f1325,plain,
( sQ128_spl
| sQ133_spl
| sQ138_spl
| sQ143_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1320,f714,f698,f682,f666,f650]) ).
fof(f1326,plain,
( sQ127_spl
| sQ132_spl
| sQ137_spl
| sQ142_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f1321,f711,f695,f679,f663,f647]) ).
fof(f1327,plain,
( sQ126_spl
| sQ131_spl
| sQ136_spl
| sQ141_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f1322,f708,f692,f676,f660,f644]) ).
fof(f1328,plain,
( sQ125_spl
| sQ130_spl
| sQ135_spl
| sQ140_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f1323,f705,f689,f673,f657,f641]) ).
fof(f1329,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_4,e_4)
| product(e_5,e_3,e_4)
| product(e_5,e_2,e_4)
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f109,f45]) ).
fof(f1330,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_4,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f109,f44]) ).
fof(f1331,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f109,f43]) ).
fof(f1332,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f109,f42]) ).
fof(f1333,plain,
( product(e_1,e_5,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f109,f41]) ).
fof(f1334,plain,
( sQ154_spl
| sQ159_spl
| sQ164_spl
| sQ169_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1329,f913,f897,f881,f865,f849]) ).
fof(f1335,plain,
( sQ153_spl
| sQ158_spl
| sQ163_spl
| sQ168_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1330,f910,f894,f878,f862,f846]) ).
fof(f1336,plain,
( sQ152_spl
| sQ157_spl
| sQ162_spl
| sQ167_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f1331,f907,f891,f875,f859,f843]) ).
fof(f1337,plain,
( sQ151_spl
| sQ156_spl
| sQ161_spl
| sQ166_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1332,f904,f888,f872,f856,f840]) ).
fof(f1338,plain,
( sQ150_spl
| sQ155_spl
| sQ160_spl
| sQ165_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1333,f901,f885,f869,f853,f837]) ).
fof(f1339,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f484,f80]) ).
fof(f1340,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f484,f78]) ).
fof(f1341,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f484,f76]) ).
fof(f1342,plain,
( ~ sQ88_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f481,f92]) ).
fof(f1343,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f481,f80]) ).
fof(f1344,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f481,f78]) ).
fof(f1345,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f481,f76]) ).
fof(f1346,plain,
( ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1342,f56]) ).
fof(f1347,plain,
~ sQ88_spl,
inference(contradiction_clause,[status(thm)],[f1346]) ).
fof(f1348,plain,
( ~ sQ87_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f478,f93]) ).
fof(f1349,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f478,f80]) ).
fof(f1350,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f478,f78]) ).
fof(f1351,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f478,f76]) ).
fof(f1352,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1348,f60]) ).
fof(f1353,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f1352]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f475,f80]) ).
fof(f1355,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f475,f78]) ).
fof(f1356,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f475,f76]) ).
fof(f1357,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f472,f80]) ).
fof(f1358,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f472,f78]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f472,f76]) ).
fof(f1360,plain,
( ~ sQ84_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f468,f94]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f468,f80]) ).
fof(f1362,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f468,f78]) ).
fof(f1363,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f468,f76]) ).
fof(f1364,plain,
( ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1360,f65]) ).
fof(f1365,plain,
~ sQ84_spl,
inference(contradiction_clause,[status(thm)],[f1364]) ).
fof(f1366,plain,
( ~ sQ82_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f462,f94]) ).
fof(f1367,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f462,f80]) ).
fof(f1368,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f462,f78]) ).
fof(f1369,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f462,f76]) ).
fof(f1370,plain,
( ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1366,f56]) ).
fof(f1371,plain,
~ sQ82_spl,
inference(contradiction_clause,[status(thm)],[f1370]) ).
fof(f1372,plain,
( ~ sQ81_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f459,f94]) ).
fof(f1373,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f459,f80]) ).
fof(f1374,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f459,f78]) ).
fof(f1375,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f459,f76]) ).
fof(f1376,plain,
( ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1372,f52]) ).
fof(f1377,plain,
~ sQ81_spl,
inference(contradiction_clause,[status(thm)],[f1376]) ).
fof(f1378,plain,
( ~ sQ80_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f456,f94]) ).
fof(f1379,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f456,f80]) ).
fof(f1380,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f456,f78]) ).
fof(f1381,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f456,f76]) ).
fof(f1382,plain,
( ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1378,f48]) ).
fof(f1383,plain,
~ sQ80_spl,
inference(contradiction_clause,[status(thm)],[f1382]) ).
fof(f1384,plain,
( ~ sQ79_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f452,f93]) ).
fof(f1385,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f452,f80]) ).
fof(f1386,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f452,f78]) ).
fof(f1387,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f452,f76]) ).
fof(f1388,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1384,f61]) ).
fof(f1389,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f1388]) ).
fof(f1390,plain,
( ~ sQ78_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f449,f92]) ).
fof(f1391,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f449,f80]) ).
fof(f1392,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f449,f78]) ).
fof(f1393,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f449,f76]) ).
fof(f1394,plain,
( ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1390,f65]) ).
fof(f1395,plain,
~ sQ78_spl,
inference(contradiction_clause,[status(thm)],[f1394]) ).
fof(f1396,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f446,f80]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f446,f78]) ).
fof(f1398,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f446,f76]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f443,f80]) ).
fof(f1400,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f443,f78]) ).
fof(f1401,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f443,f76]) ).
fof(f1402,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f440,f80]) ).
fof(f1403,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f440,f78]) ).
fof(f1404,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f440,f76]) ).
fof(f1405,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f128,f80]) ).
fof(f1406,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f128,f78]) ).
fof(f1407,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f128,f76]) ).
fof(f1408,plain,
( ~ sQ124_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f633,f92]) ).
fof(f1409,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f633,f80]) ).
fof(f1410,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f633,f78]) ).
fof(f1411,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f633,f76]) ).
fof(f1412,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1408,f49]) ).
fof(f1413,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f1412]) ).
fof(f1414,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f630,f80]) ).
fof(f1415,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f630,f78]) ).
fof(f1416,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f630,f76]) ).
fof(f1417,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f627,f80]) ).
fof(f1418,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f627,f78]) ).
fof(f1419,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f627,f76]) ).
fof(f1420,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f624,f80]) ).
fof(f1421,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f624,f78]) ).
fof(f1422,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f624,f76]) ).
fof(f1423,plain,
( ~ sQ120_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f621,f93]) ).
fof(f1424,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f621,f80]) ).
fof(f1425,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f621,f78]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f621,f76]) ).
fof(f1427,plain,
( ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1423,f62]) ).
fof(f1428,plain,
~ sQ120_spl,
inference(contradiction_clause,[status(thm)],[f1427]) ).
fof(f1429,plain,
( ~ sQ119_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f617,f92]) ).
fof(f1430,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f617,f80]) ).
fof(f1431,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f617,f78]) ).
fof(f1432,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f617,f76]) ).
fof(f1433,plain,
( ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1429,f53]) ).
fof(f1434,plain,
~ sQ119_spl,
inference(contradiction_clause,[status(thm)],[f1433]) ).
fof(f1435,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f614,f80]) ).
fof(f1436,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f614,f78]) ).
fof(f1437,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f614,f76]) ).
fof(f1438,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f611,f80]) ).
fof(f1439,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f611,f78]) ).
fof(f1440,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f611,f76]) ).
fof(f1441,plain,
( ~ sQ116_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f608,f93]) ).
fof(f1442,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f608,f80]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f608,f78]) ).
fof(f1444,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f608,f76]) ).
fof(f1445,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1441,f63]) ).
fof(f1446,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f1445]) ).
fof(f1447,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f605,f80]) ).
fof(f1448,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f605,f78]) ).
fof(f1449,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f605,f76]) ).
fof(f1450,plain,
( ~ sQ114_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f601,f92]) ).
fof(f1451,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f601,f80]) ).
fof(f1452,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f601,f78]) ).
fof(f1453,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f601,f76]) ).
fof(f1454,plain,
( ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1450,f57]) ).
fof(f1455,plain,
~ sQ114_spl,
inference(contradiction_clause,[status(thm)],[f1454]) ).
fof(f1456,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f598,f80]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f598,f78]) ).
fof(f1458,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f598,f76]) ).
fof(f1459,plain,
( ~ sQ112_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f595,f93]) ).
fof(f1460,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f595,f80]) ).
fof(f1461,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f595,f78]) ).
fof(f1462,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f595,f76]) ).
fof(f1463,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1459,f64]) ).
fof(f1464,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f1463]) ).
fof(f1465,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f592,f80]) ).
fof(f1466,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f592,f78]) ).
fof(f1467,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f592,f76]) ).
fof(f1468,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f589,f80]) ).
fof(f1469,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f589,f78]) ).
fof(f1470,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f589,f76]) ).
fof(f1471,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_4,e_3)
| product(e_5,e_3,e_3)
| product(e_5,e_2,e_3)
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f110,f45]) ).
fof(f1472,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_4,e_3)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f110,f44]) ).
fof(f1473,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_4,e_3)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f110,f43]) ).
fof(f1474,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_4,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f110,f42]) ).
fof(f1475,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f110,f41]) ).
fof(f1476,plain,
( sQ179_spl
| sQ184_spl
| sQ189_spl
| sQ194_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1471,f998,f982,f966,f950,f934]) ).
fof(f1477,plain,
( sQ178_spl
| sQ183_spl
| sQ188_spl
| sQ193_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1472,f995,f979,f963,f947,f931]) ).
fof(f1478,plain,
( sQ177_spl
| sQ182_spl
| sQ187_spl
| sQ192_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1473,f992,f976,f960,f944,f928]) ).
fof(f1479,plain,
( sQ176_spl
| sQ181_spl
| sQ186_spl
| sQ191_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f1474,f989,f973,f957,f941,f925]) ).
fof(f1480,plain,
( sQ175_spl
| sQ180_spl
| sQ185_spl
| sQ190_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1475,f986,f970,f954,f938,f922]) ).
fof(f1481,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f111,f45]) ).
fof(f1482,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f111,f44]) ).
fof(f1483,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f111,f43]) ).
fof(f1484,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f111,f42]) ).
fof(f1485,plain,
( product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f111,f41]) ).
fof(f1486,plain,
( sQ204_spl
| sQ209_spl
| sQ214_spl
| sQ219_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f1481,f1083,f1067,f1051,f1035,f1019]) ).
fof(f1487,plain,
( sQ203_spl
| sQ208_spl
| sQ213_spl
| sQ218_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f1482,f1080,f1064,f1048,f1032,f1016]) ).
fof(f1488,plain,
( sQ202_spl
| sQ207_spl
| sQ212_spl
| sQ217_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f1483,f1077,f1061,f1045,f1029,f1013]) ).
fof(f1489,plain,
( sQ201_spl
| sQ206_spl
| sQ211_spl
| sQ216_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1484,f1074,f1058,f1042,f1026,f1010]) ).
fof(f1490,plain,
( sQ200_spl
| sQ205_spl
| sQ210_spl
| sQ215_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f1485,f1071,f1055,f1039,f1023,f1007]) ).
fof(f1491,plain,
( product(e_5,e_5,e_1)
| product(e_5,e_4,e_1)
| product(e_5,e_3,e_1)
| product(e_5,e_2,e_1)
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f112,f45]) ).
fof(f1492,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_4,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f112,f44]) ).
fof(f1493,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f112,f43]) ).
fof(f1494,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f112,f42]) ).
fof(f1495,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f112,f41]) ).
fof(f1496,plain,
( sQ229_spl
| sQ234_spl
| sQ239_spl
| sQ244_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f1491,f1315,f1299,f1283,f1267,f1251]) ).
fof(f1497,plain,
( sQ228_spl
| sQ233_spl
| sQ238_spl
| sQ243_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f1492,f1312,f1296,f1280,f1264,f1248]) ).
fof(f1498,plain,
( sQ227_spl
| sQ232_spl
| sQ237_spl
| sQ242_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f1493,f1309,f1293,f1277,f1261,f1245]) ).
fof(f1499,plain,
( sQ226_spl
| sQ231_spl
| sQ236_spl
| sQ241_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f1494,f1306,f1290,f1274,f1258,f1242]) ).
fof(f1500,plain,
( sQ225_spl
| sQ230_spl
| sQ235_spl
| sQ240_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f1495,f1303,f1287,f1271,f1255,f1239]) ).
fof(f1501,plain,
( ~ sQ109_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f585,f92]) ).
fof(f1502,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f585,f80]) ).
fof(f1503,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f585,f78]) ).
fof(f1504,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f585,f76]) ).
fof(f1505,plain,
( ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1501,f61]) ).
fof(f1506,plain,
~ sQ109_spl,
inference(contradiction_clause,[status(thm)],[f1505]) ).
fof(f1507,plain,
( ~ sQ108_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f582,f93]) ).
fof(f1508,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f582,f80]) ).
fof(f1509,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f582,f78]) ).
fof(f1510,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f582,f76]) ).
fof(f1511,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1507,f65]) ).
fof(f1512,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f1511]) ).
fof(f1513,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f579,f80]) ).
fof(f1514,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f579,f78]) ).
fof(f1515,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f579,f76]) ).
fof(f1516,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f576,f80]) ).
fof(f1517,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f576,f78]) ).
fof(f1518,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f576,f76]) ).
fof(f1519,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f573,f80]) ).
fof(f1520,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f573,f78]) ).
fof(f1521,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f573,f76]) ).
fof(f1522,plain,
( ~ sQ103_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f566,f94]) ).
fof(f1523,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f566,f80]) ).
fof(f1524,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f566,f78]) ).
fof(f1525,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f566,f76]) ).
fof(f1526,plain,
( ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1522,f61]) ).
fof(f1527,plain,
~ sQ103_spl,
inference(contradiction_clause,[status(thm)],[f1526]) ).
fof(f1528,plain,
( ~ sQ102_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f563,f94]) ).
fof(f1529,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f563,f80]) ).
fof(f1530,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f563,f78]) ).
fof(f1531,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f563,f76]) ).
fof(f1532,plain,
( ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1528,f57]) ).
fof(f1533,plain,
~ sQ102_spl,
inference(contradiction_clause,[status(thm)],[f1532]) ).
fof(f1534,plain,
( ~ sQ101_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f560,f94]) ).
fof(f1535,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f560,f80]) ).
fof(f1536,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f560,f78]) ).
fof(f1537,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f560,f76]) ).
fof(f1538,plain,
( ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1534,f53]) ).
fof(f1539,plain,
~ sQ101_spl,
inference(contradiction_clause,[status(thm)],[f1538]) ).
fof(f1540,plain,
( ~ sQ100_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f557,f94]) ).
fof(f1541,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f557,f80]) ).
fof(f1542,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f557,f78]) ).
fof(f1543,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f557,f76]) ).
fof(f1544,plain,
( ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1540,f49]) ).
fof(f1545,plain,
~ sQ100_spl,
inference(contradiction_clause,[status(thm)],[f1544]) ).
fof(f1546,plain,
( product1(e_5,e_5,e_5)
| product1(e_5,e_5,e_4)
| product1(e_5,e_5,e_3)
| product1(e_5,e_5,e_2)
| product1(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f546,f45]) ).
fof(f1547,plain,
( product1(e_4,e_5,e_5)
| product1(e_4,e_5,e_4)
| product1(e_4,e_5,e_3)
| product1(e_4,e_5,e_2)
| product1(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f546,f44]) ).
fof(f1548,plain,
( product1(e_3,e_5,e_5)
| product1(e_3,e_5,e_4)
| product1(e_3,e_5,e_3)
| product1(e_3,e_5,e_2)
| product1(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f546,f43]) ).
fof(f1549,plain,
( product1(e_2,e_5,e_5)
| product1(e_2,e_5,e_4)
| product1(e_2,e_5,e_3)
| product1(e_2,e_5,e_2)
| product1(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f546,f42]) ).
fof(f1550,plain,
( product1(e_1,e_5,e_5)
| product1(e_1,e_5,e_4)
| product1(e_1,e_5,e_3)
| product1(e_1,e_5,e_2)
| product1(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f546,f41]) ).
fof(f1551,definition,
( sQ250_spl
<=> product1(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f1552,plain,
( ~ sQ250_spl
| product1(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1553,plain,
( sQ250_spl
| ~ product1(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1554,definition,
( sQ251_spl
<=> product1(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f1555,plain,
( ~ sQ251_spl
| product1(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1554]) ).
fof(f1556,plain,
( sQ251_spl
| ~ product1(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1554]) ).
fof(f1557,definition,
( sQ252_spl
<=> product1(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f1558,plain,
( ~ sQ252_spl
| product1(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f1557]) ).
fof(f1559,plain,
( sQ252_spl
| ~ product1(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f1557]) ).
fof(f1560,definition,
( sQ253_spl
<=> product1(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f1561,plain,
( ~ sQ253_spl
| product1(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1560]) ).
fof(f1562,plain,
( sQ253_spl
| ~ product1(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1560]) ).
fof(f1563,definition,
( sQ254_spl
<=> product1(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f1566,plain,
( sQ254_spl
| sQ253_spl
| sQ252_spl
| sQ251_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f1546,f1551,f1554,f1557,f1560,f1563]) ).
fof(f1567,definition,
( sQ255_spl
<=> product1(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f1568,plain,
( ~ sQ255_spl
| product1(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1567]) ).
fof(f1569,plain,
( sQ255_spl
| ~ product1(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1567]) ).
fof(f1570,definition,
( sQ256_spl
<=> product1(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f1571,plain,
( ~ sQ256_spl
| product1(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1572,plain,
( sQ256_spl
| ~ product1(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1573,definition,
( sQ257_spl
<=> product1(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f1574,plain,
( ~ sQ257_spl
| product1(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f1573]) ).
fof(f1575,plain,
( sQ257_spl
| ~ product1(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f1573]) ).
fof(f1576,definition,
( sQ258_spl
<=> product1(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f1577,plain,
( ~ sQ258_spl
| product1(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1576]) ).
fof(f1578,plain,
( sQ258_spl
| ~ product1(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1576]) ).
fof(f1579,definition,
( sQ259_spl
<=> product1(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f1580,plain,
( ~ sQ259_spl
| product1(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1579]) ).
fof(f1581,plain,
( sQ259_spl
| ~ product1(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1579]) ).
fof(f1582,plain,
( sQ259_spl
| sQ258_spl
| sQ257_spl
| sQ256_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f1547,f1567,f1570,f1573,f1576,f1579]) ).
fof(f1583,definition,
( sQ260_spl
<=> product1(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f1584,plain,
( ~ sQ260_spl
| product1(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1583]) ).
fof(f1585,plain,
( sQ260_spl
| ~ product1(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1583]) ).
fof(f1586,definition,
( sQ261_spl
<=> product1(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f1587,plain,
( ~ sQ261_spl
| product1(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1586]) ).
fof(f1588,plain,
( sQ261_spl
| ~ product1(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1586]) ).
fof(f1589,definition,
( sQ262_spl
<=> product1(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f1590,plain,
( ~ sQ262_spl
| product1(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f1589]) ).
fof(f1591,plain,
( sQ262_spl
| ~ product1(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f1589]) ).
fof(f1592,definition,
( sQ263_spl
<=> product1(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f1593,plain,
( ~ sQ263_spl
| product1(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1592]) ).
fof(f1594,plain,
( sQ263_spl
| ~ product1(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1592]) ).
fof(f1595,definition,
( sQ264_spl
<=> product1(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f1596,plain,
( ~ sQ264_spl
| product1(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1595]) ).
fof(f1597,plain,
( sQ264_spl
| ~ product1(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1595]) ).
fof(f1598,plain,
( sQ264_spl
| sQ263_spl
| sQ262_spl
| sQ261_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f1548,f1583,f1586,f1589,f1592,f1595]) ).
fof(f1599,definition,
( sQ265_spl
<=> product1(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f1600,plain,
( ~ sQ265_spl
| product1(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1599]) ).
fof(f1601,plain,
( sQ265_spl
| ~ product1(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1599]) ).
fof(f1602,definition,
( sQ266_spl
<=> product1(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f1603,plain,
( ~ sQ266_spl
| product1(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1602]) ).
fof(f1604,plain,
( sQ266_spl
| ~ product1(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1602]) ).
fof(f1605,definition,
( sQ267_spl
<=> product1(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f1606,plain,
( ~ sQ267_spl
| product1(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f1605]) ).
fof(f1608,definition,
( sQ268_spl
<=> product1(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f1609,plain,
( ~ sQ268_spl
| product1(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1608]) ).
fof(f1610,plain,
( sQ268_spl
| ~ product1(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1608]) ).
fof(f1611,definition,
( sQ269_spl
<=> product1(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f1612,plain,
( ~ sQ269_spl
| product1(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1611]) ).
fof(f1613,plain,
( sQ269_spl
| ~ product1(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1611]) ).
fof(f1614,plain,
( sQ269_spl
| sQ268_spl
| sQ267_spl
| sQ266_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f1549,f1599,f1602,f1605,f1608,f1611]) ).
fof(f1615,definition,
( sQ270_spl
<=> product1(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f1616,plain,
( ~ sQ270_spl
| product1(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1615]) ).
fof(f1617,plain,
( sQ270_spl
| ~ product1(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1615]) ).
fof(f1618,definition,
( sQ271_spl
<=> product1(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f1619,plain,
( ~ sQ271_spl
| product1(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1618]) ).
fof(f1620,plain,
( sQ271_spl
| ~ product1(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1618]) ).
fof(f1621,definition,
( sQ272_spl
<=> product1(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f1622,plain,
( ~ sQ272_spl
| product1(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f1621]) ).
fof(f1623,plain,
( sQ272_spl
| ~ product1(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f1621]) ).
fof(f1624,definition,
( sQ273_spl
<=> product1(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f1625,plain,
( ~ sQ273_spl
| product1(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1624]) ).
fof(f1626,plain,
( sQ273_spl
| ~ product1(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1624]) ).
fof(f1627,definition,
( sQ274_spl
<=> product1(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f1628,plain,
( ~ sQ274_spl
| product1(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1627]) ).
fof(f1629,plain,
( sQ274_spl
| ~ product1(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1627]) ).
fof(f1630,plain,
( sQ274_spl
| sQ273_spl
| sQ272_spl
| sQ271_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f1550,f1615,f1618,f1621,f1624,f1627]) ).
fof(f1631,plain,
( product1(e_5,e_4,e_5)
| product1(e_5,e_4,e_4)
| product1(e_5,e_4,e_3)
| product1(e_5,e_4,e_2)
| product1(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f547,f45]) ).
fof(f1632,plain,
( product1(e_4,e_4,e_5)
| product1(e_4,e_4,e_4)
| product1(e_4,e_4,e_3)
| product1(e_4,e_4,e_2)
| product1(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f547,f44]) ).
fof(f1633,plain,
( product1(e_3,e_4,e_5)
| product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f547,f43]) ).
fof(f1634,plain,
( product1(e_2,e_4,e_5)
| product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f547,f42]) ).
fof(f1635,plain,
( product1(e_1,e_4,e_5)
| product1(e_1,e_4,e_4)
| product1(e_1,e_4,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f547,f41]) ).
fof(f1636,definition,
( sQ275_spl
<=> product1(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f1637,plain,
( ~ sQ275_spl
| product1(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1636]) ).
fof(f1638,plain,
( sQ275_spl
| ~ product1(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1636]) ).
fof(f1639,definition,
( sQ276_spl
<=> product1(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f1640,plain,
( ~ sQ276_spl
| product1(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1639]) ).
fof(f1641,plain,
( sQ276_spl
| ~ product1(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1639]) ).
fof(f1642,definition,
( sQ277_spl
<=> product1(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f1643,plain,
( ~ sQ277_spl
| product1(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1642]) ).
fof(f1644,plain,
( sQ277_spl
| ~ product1(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1642]) ).
fof(f1645,definition,
( sQ278_spl
<=> product1(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f1646,plain,
( ~ sQ278_spl
| product1(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1645]) ).
fof(f1647,plain,
( sQ278_spl
| ~ product1(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1645]) ).
fof(f1648,definition,
( sQ279_spl
<=> product1(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f1649,plain,
( ~ sQ279_spl
| product1(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1648]) ).
fof(f1650,plain,
( sQ279_spl
| ~ product1(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1648]) ).
fof(f1651,plain,
( sQ279_spl
| sQ278_spl
| sQ277_spl
| sQ276_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f1631,f1636,f1639,f1642,f1645,f1648]) ).
fof(f1652,definition,
( sQ280_spl
<=> product1(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f1653,plain,
( ~ sQ280_spl
| product1(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1652]) ).
fof(f1654,plain,
( sQ280_spl
| ~ product1(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1652]) ).
fof(f1655,definition,
( sQ281_spl
<=> product1(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f1656,plain,
( ~ sQ281_spl
| product1(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1655]) ).
fof(f1657,plain,
( sQ281_spl
| ~ product1(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1655]) ).
fof(f1658,definition,
( sQ282_spl
<=> product1(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f1659,plain,
( ~ sQ282_spl
| product1(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1658]) ).
fof(f1660,plain,
( sQ282_spl
| ~ product1(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1658]) ).
fof(f1661,definition,
( sQ283_spl
<=> product1(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f1664,definition,
( sQ284_spl
<=> product1(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f1665,plain,
( ~ sQ284_spl
| product1(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1664]) ).
fof(f1666,plain,
( sQ284_spl
| ~ product1(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1664]) ).
fof(f1667,plain,
( sQ284_spl
| sQ283_spl
| sQ282_spl
| sQ281_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f1632,f1652,f1655,f1658,f1661,f1664]) ).
fof(f1668,definition,
( sQ285_spl
<=> product1(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f1669,plain,
( ~ sQ285_spl
| product1(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1668]) ).
fof(f1670,plain,
( sQ285_spl
| ~ product1(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1668]) ).
fof(f1671,definition,
( sQ286_spl
<=> product1(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f1672,plain,
( ~ sQ286_spl
| product1(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1671]) ).
fof(f1673,plain,
( sQ286_spl
| ~ product1(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1671]) ).
fof(f1674,definition,
( sQ287_spl
<=> product1(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f1675,plain,
( ~ sQ287_spl
| product1(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1674]) ).
fof(f1676,plain,
( sQ287_spl
| ~ product1(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1674]) ).
fof(f1677,definition,
( sQ288_spl
<=> product1(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f1678,plain,
( ~ sQ288_spl
| product1(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1677]) ).
fof(f1679,plain,
( sQ288_spl
| ~ product1(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1677]) ).
fof(f1680,definition,
( sQ289_spl
<=> product1(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f1681,plain,
( ~ sQ289_spl
| product1(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1680]) ).
fof(f1682,plain,
( sQ289_spl
| ~ product1(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1680]) ).
fof(f1683,plain,
( sQ289_spl
| sQ288_spl
| sQ287_spl
| sQ286_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f1633,f1668,f1671,f1674,f1677,f1680]) ).
fof(f1684,definition,
( sQ290_spl
<=> product1(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f1685,plain,
( ~ sQ290_spl
| product1(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1684]) ).
fof(f1686,plain,
( sQ290_spl
| ~ product1(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1684]) ).
fof(f1687,definition,
( sQ291_spl
<=> product1(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f1688,plain,
( ~ sQ291_spl
| product1(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1687]) ).
fof(f1689,plain,
( sQ291_spl
| ~ product1(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1687]) ).
fof(f1690,definition,
( sQ292_spl
<=> product1(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f1691,plain,
( ~ sQ292_spl
| product1(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1690]) ).
fof(f1692,plain,
( sQ292_spl
| ~ product1(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1690]) ).
fof(f1693,definition,
( sQ293_spl
<=> product1(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f1694,plain,
( ~ sQ293_spl
| product1(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1693]) ).
fof(f1695,plain,
( sQ293_spl
| ~ product1(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1693]) ).
fof(f1696,definition,
( sQ294_spl
<=> product1(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f1697,plain,
( ~ sQ294_spl
| product1(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1696]) ).
fof(f1698,plain,
( sQ294_spl
| ~ product1(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1696]) ).
fof(f1699,plain,
( sQ294_spl
| sQ293_spl
| sQ292_spl
| sQ291_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f1634,f1684,f1687,f1690,f1693,f1696]) ).
fof(f1700,definition,
( sQ295_spl
<=> product1(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f1701,plain,
( ~ sQ295_spl
| product1(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1700]) ).
fof(f1702,plain,
( sQ295_spl
| ~ product1(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1700]) ).
fof(f1703,definition,
( sQ296_spl
<=> product1(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f1704,plain,
( ~ sQ296_spl
| product1(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1703]) ).
fof(f1705,plain,
( sQ296_spl
| ~ product1(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1703]) ).
fof(f1706,definition,
( sQ297_spl
<=> product1(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f1707,plain,
( ~ sQ297_spl
| product1(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1706]) ).
fof(f1708,plain,
( sQ297_spl
| ~ product1(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1706]) ).
fof(f1709,definition,
( sQ298_spl
<=> product1(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f1710,plain,
( ~ sQ298_spl
| product1(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1709]) ).
fof(f1711,plain,
( sQ298_spl
| ~ product1(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1709]) ).
fof(f1712,definition,
( sQ299_spl
<=> product1(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f1713,plain,
( ~ sQ299_spl
| product1(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1712]) ).
fof(f1714,plain,
( sQ299_spl
| ~ product1(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1712]) ).
fof(f1715,plain,
( sQ299_spl
| sQ298_spl
| sQ297_spl
| sQ296_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f1635,f1700,f1703,f1706,f1709,f1712]) ).
fof(f1716,plain,
( product1(e_5,e_3,e_5)
| product1(e_5,e_3,e_4)
| product1(e_5,e_3,e_3)
| product1(e_5,e_3,e_2)
| product1(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f548,f45]) ).
fof(f1717,plain,
( product1(e_4,e_3,e_5)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f548,f44]) ).
fof(f1718,plain,
( product1(e_3,e_3,e_5)
| product1(e_3,e_3,e_4)
| product1(e_3,e_3,e_3)
| product1(e_3,e_3,e_2)
| product1(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f548,f43]) ).
fof(f1719,plain,
( product1(e_2,e_3,e_5)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f548,f42]) ).
fof(f1720,plain,
( product1(e_1,e_3,e_5)
| product1(e_1,e_3,e_4)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f548,f41]) ).
fof(f1721,definition,
( sQ300_spl
<=> product1(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f1722,plain,
( ~ sQ300_spl
| product1(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1721]) ).
fof(f1723,plain,
( sQ300_spl
| ~ product1(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1721]) ).
fof(f1724,definition,
( sQ301_spl
<=> product1(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f1725,plain,
( ~ sQ301_spl
| product1(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1724]) ).
fof(f1726,plain,
( sQ301_spl
| ~ product1(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1724]) ).
fof(f1727,definition,
( sQ302_spl
<=> product1(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f1728,plain,
( ~ sQ302_spl
| product1(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1727]) ).
fof(f1729,plain,
( sQ302_spl
| ~ product1(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1727]) ).
fof(f1730,definition,
( sQ303_spl
<=> product1(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f1731,plain,
( ~ sQ303_spl
| product1(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1730]) ).
fof(f1732,plain,
( sQ303_spl
| ~ product1(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1730]) ).
fof(f1733,definition,
( sQ304_spl
<=> product1(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f1734,plain,
( ~ sQ304_spl
| product1(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1733]) ).
fof(f1735,plain,
( sQ304_spl
| ~ product1(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1733]) ).
fof(f1736,plain,
( sQ304_spl
| sQ303_spl
| sQ302_spl
| sQ301_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f1716,f1721,f1724,f1727,f1730,f1733]) ).
fof(f1737,definition,
( sQ305_spl
<=> product1(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f1738,plain,
( ~ sQ305_spl
| product1(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1737]) ).
fof(f1739,plain,
( sQ305_spl
| ~ product1(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1737]) ).
fof(f1740,definition,
( sQ306_spl
<=> product1(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f1741,plain,
( ~ sQ306_spl
| product1(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1740]) ).
fof(f1742,plain,
( sQ306_spl
| ~ product1(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1740]) ).
fof(f1743,definition,
( sQ307_spl
<=> product1(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f1744,plain,
( ~ sQ307_spl
| product1(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1743]) ).
fof(f1745,plain,
( sQ307_spl
| ~ product1(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1743]) ).
fof(f1746,definition,
( sQ308_spl
<=> product1(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f1747,plain,
( ~ sQ308_spl
| product1(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1746]) ).
fof(f1748,plain,
( sQ308_spl
| ~ product1(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1746]) ).
fof(f1749,definition,
( sQ309_spl
<=> product1(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f1750,plain,
( ~ sQ309_spl
| product1(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1749]) ).
fof(f1751,plain,
( sQ309_spl
| ~ product1(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1749]) ).
fof(f1752,plain,
( sQ309_spl
| sQ308_spl
| sQ307_spl
| sQ306_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f1717,f1737,f1740,f1743,f1746,f1749]) ).
fof(f1753,definition,
( sQ310_spl
<=> product1(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f1754,plain,
( ~ sQ310_spl
| product1(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1753]) ).
fof(f1755,plain,
( sQ310_spl
| ~ product1(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1753]) ).
fof(f1756,definition,
( sQ311_spl
<=> product1(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f1757,plain,
( ~ sQ311_spl
| product1(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1756]) ).
fof(f1758,plain,
( sQ311_spl
| ~ product1(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1756]) ).
fof(f1759,definition,
( sQ312_spl
<=> product1(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f1762,definition,
( sQ313_spl
<=> product1(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f1763,plain,
( ~ sQ313_spl
| product1(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1762]) ).
fof(f1764,plain,
( sQ313_spl
| ~ product1(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1762]) ).
fof(f1765,definition,
( sQ314_spl
<=> product1(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f1766,plain,
( ~ sQ314_spl
| product1(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1765]) ).
fof(f1767,plain,
( sQ314_spl
| ~ product1(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1765]) ).
fof(f1768,plain,
( sQ314_spl
| sQ313_spl
| sQ312_spl
| sQ311_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f1718,f1753,f1756,f1759,f1762,f1765]) ).
fof(f1769,definition,
( sQ315_spl
<=> product1(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f1770,plain,
( ~ sQ315_spl
| product1(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1769]) ).
fof(f1771,plain,
( sQ315_spl
| ~ product1(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1769]) ).
fof(f1772,definition,
( sQ316_spl
<=> product1(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f1773,plain,
( ~ sQ316_spl
| product1(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1772]) ).
fof(f1774,plain,
( sQ316_spl
| ~ product1(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1772]) ).
fof(f1775,definition,
( sQ317_spl
<=> product1(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f1776,plain,
( ~ sQ317_spl
| product1(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1775]) ).
fof(f1777,plain,
( sQ317_spl
| ~ product1(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1775]) ).
fof(f1778,definition,
( sQ318_spl
<=> product1(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f1779,plain,
( ~ sQ318_spl
| product1(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1778]) ).
fof(f1780,plain,
( sQ318_spl
| ~ product1(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1778]) ).
fof(f1781,definition,
( sQ319_spl
<=> product1(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f1782,plain,
( ~ sQ319_spl
| product1(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1781]) ).
fof(f1783,plain,
( sQ319_spl
| ~ product1(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1781]) ).
fof(f1784,plain,
( sQ319_spl
| sQ318_spl
| sQ317_spl
| sQ316_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f1719,f1769,f1772,f1775,f1778,f1781]) ).
fof(f1785,definition,
( sQ320_spl
<=> product1(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f1786,plain,
( ~ sQ320_spl
| product1(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1785]) ).
fof(f1787,plain,
( sQ320_spl
| ~ product1(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1785]) ).
fof(f1788,definition,
( sQ321_spl
<=> product1(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f1789,plain,
( ~ sQ321_spl
| product1(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1788]) ).
fof(f1790,plain,
( sQ321_spl
| ~ product1(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1788]) ).
fof(f1791,definition,
( sQ322_spl
<=> product1(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f1792,plain,
( ~ sQ322_spl
| product1(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1791]) ).
fof(f1793,plain,
( sQ322_spl
| ~ product1(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1791]) ).
fof(f1794,definition,
( sQ323_spl
<=> product1(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f1795,plain,
( ~ sQ323_spl
| product1(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1794]) ).
fof(f1796,plain,
( sQ323_spl
| ~ product1(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1794]) ).
fof(f1797,definition,
( sQ324_spl
<=> product1(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f1798,plain,
( ~ sQ324_spl
| product1(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1797]) ).
fof(f1799,plain,
( sQ324_spl
| ~ product1(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1797]) ).
fof(f1800,plain,
( sQ324_spl
| sQ323_spl
| sQ322_spl
| sQ321_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f1720,f1785,f1788,f1791,f1794,f1797]) ).
fof(f1801,plain,
( product1(e_5,e_2,e_5)
| product1(e_5,e_2,e_4)
| product1(e_5,e_2,e_3)
| product1(e_5,e_2,e_2)
| product1(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f549,f45]) ).
fof(f1802,plain,
( product1(e_4,e_2,e_5)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f549,f44]) ).
fof(f1803,plain,
( product1(e_3,e_2,e_5)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f549,f43]) ).
fof(f1804,plain,
( product1(e_2,e_2,e_5)
| product1(e_2,e_2,e_4)
| product1(e_2,e_2,e_3)
| product1(e_2,e_2,e_2)
| product1(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f549,f42]) ).
fof(f1805,plain,
( product1(e_1,e_2,e_5)
| product1(e_1,e_2,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f549,f41]) ).
fof(f1806,definition,
( sQ325_spl
<=> product1(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f1807,plain,
( ~ sQ325_spl
| product1(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1806]) ).
fof(f1808,plain,
( sQ325_spl
| ~ product1(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1806]) ).
fof(f1809,definition,
( sQ326_spl
<=> product1(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f1810,plain,
( ~ sQ326_spl
| product1(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1809]) ).
fof(f1811,plain,
( sQ326_spl
| ~ product1(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1809]) ).
fof(f1812,definition,
( sQ327_spl
<=> product1(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f1813,plain,
( ~ sQ327_spl
| product1(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1812]) ).
fof(f1814,plain,
( sQ327_spl
| ~ product1(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1812]) ).
fof(f1815,definition,
( sQ328_spl
<=> product1(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f1816,plain,
( ~ sQ328_spl
| product1(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1815]) ).
fof(f1817,plain,
( sQ328_spl
| ~ product1(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1815]) ).
fof(f1818,definition,
( sQ329_spl
<=> product1(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f1819,plain,
( ~ sQ329_spl
| product1(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1818]) ).
fof(f1820,plain,
( sQ329_spl
| ~ product1(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1818]) ).
fof(f1821,plain,
( sQ329_spl
| sQ328_spl
| sQ327_spl
| sQ326_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f1801,f1806,f1809,f1812,f1815,f1818]) ).
fof(f1822,definition,
( sQ330_spl
<=> product1(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f1823,plain,
( ~ sQ330_spl
| product1(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1822]) ).
fof(f1824,plain,
( sQ330_spl
| ~ product1(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1822]) ).
fof(f1825,definition,
( sQ331_spl
<=> product1(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f1826,plain,
( ~ sQ331_spl
| product1(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1825]) ).
fof(f1827,plain,
( sQ331_spl
| ~ product1(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1825]) ).
fof(f1828,definition,
( sQ332_spl
<=> product1(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f1829,plain,
( ~ sQ332_spl
| product1(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1828]) ).
fof(f1830,plain,
( sQ332_spl
| ~ product1(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1828]) ).
fof(f1831,definition,
( sQ333_spl
<=> product1(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f1832,plain,
( ~ sQ333_spl
| product1(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1831]) ).
fof(f1833,plain,
( sQ333_spl
| ~ product1(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1831]) ).
fof(f1834,definition,
( sQ334_spl
<=> product1(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f1835,plain,
( ~ sQ334_spl
| product1(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1834]) ).
fof(f1836,plain,
( sQ334_spl
| ~ product1(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1834]) ).
fof(f1837,plain,
( sQ334_spl
| sQ333_spl
| sQ332_spl
| sQ331_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f1802,f1822,f1825,f1828,f1831,f1834]) ).
fof(f1838,definition,
( sQ335_spl
<=> product1(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f1839,plain,
( ~ sQ335_spl
| product1(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1838]) ).
fof(f1840,plain,
( sQ335_spl
| ~ product1(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1838]) ).
fof(f1841,definition,
( sQ336_spl
<=> product1(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f1842,plain,
( ~ sQ336_spl
| product1(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1841]) ).
fof(f1843,plain,
( sQ336_spl
| ~ product1(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1841]) ).
fof(f1844,definition,
( sQ337_spl
<=> product1(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f1845,plain,
( ~ sQ337_spl
| product1(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1844]) ).
fof(f1846,plain,
( sQ337_spl
| ~ product1(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1844]) ).
fof(f1847,definition,
( sQ338_spl
<=> product1(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f1848,plain,
( ~ sQ338_spl
| product1(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1847]) ).
fof(f1849,plain,
( sQ338_spl
| ~ product1(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1847]) ).
fof(f1850,definition,
( sQ339_spl
<=> product1(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f1851,plain,
( ~ sQ339_spl
| product1(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1850]) ).
fof(f1852,plain,
( sQ339_spl
| ~ product1(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1850]) ).
fof(f1853,plain,
( sQ339_spl
| sQ338_spl
| sQ337_spl
| sQ336_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f1803,f1838,f1841,f1844,f1847,f1850]) ).
fof(f1854,definition,
( sQ340_spl
<=> product1(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f1855,plain,
( ~ sQ340_spl
| product1(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1854]) ).
fof(f1856,plain,
( sQ340_spl
| ~ product1(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1854]) ).
fof(f1857,definition,
( sQ341_spl
<=> product1(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f1860,definition,
( sQ342_spl
<=> product1(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f1861,plain,
( ~ sQ342_spl
| product1(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1860]) ).
fof(f1862,plain,
( sQ342_spl
| ~ product1(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1860]) ).
fof(f1863,definition,
( sQ343_spl
<=> product1(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f1864,plain,
( ~ sQ343_spl
| product1(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1863]) ).
fof(f1865,plain,
( sQ343_spl
| ~ product1(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1863]) ).
fof(f1866,definition,
( sQ344_spl
<=> product1(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f1867,plain,
( ~ sQ344_spl
| product1(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1866]) ).
fof(f1868,plain,
( sQ344_spl
| ~ product1(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1866]) ).
fof(f1869,plain,
( sQ344_spl
| sQ343_spl
| sQ342_spl
| sQ341_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f1804,f1854,f1857,f1860,f1863,f1866]) ).
fof(f1870,definition,
( sQ345_spl
<=> product1(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f1871,plain,
( ~ sQ345_spl
| product1(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1870]) ).
fof(f1872,plain,
( sQ345_spl
| ~ product1(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1870]) ).
fof(f1873,definition,
( sQ346_spl
<=> product1(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f1874,plain,
( ~ sQ346_spl
| product1(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1873]) ).
fof(f1875,plain,
( sQ346_spl
| ~ product1(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1873]) ).
fof(f1876,definition,
( sQ347_spl
<=> product1(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f1877,plain,
( ~ sQ347_spl
| product1(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1876]) ).
fof(f1878,plain,
( sQ347_spl
| ~ product1(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1876]) ).
fof(f1879,definition,
( sQ348_spl
<=> product1(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f1880,plain,
( ~ sQ348_spl
| product1(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1879]) ).
fof(f1881,plain,
( sQ348_spl
| ~ product1(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1879]) ).
fof(f1882,definition,
( sQ349_spl
<=> product1(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f1883,plain,
( ~ sQ349_spl
| product1(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1882]) ).
fof(f1884,plain,
( sQ349_spl
| ~ product1(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1882]) ).
fof(f1885,plain,
( sQ349_spl
| sQ348_spl
| sQ347_spl
| sQ346_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f1805,f1870,f1873,f1876,f1879,f1882]) ).
fof(f1886,plain,
( product1(e_5,e_1,e_5)
| product1(e_5,e_1,e_4)
| product1(e_5,e_1,e_3)
| product1(e_5,e_1,e_2)
| product1(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f550,f45]) ).
fof(f1887,plain,
( product1(e_4,e_1,e_5)
| product1(e_4,e_1,e_4)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f550,f44]) ).
fof(f1888,plain,
( product1(e_3,e_1,e_5)
| product1(e_3,e_1,e_4)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f550,f43]) ).
fof(f1889,plain,
( product1(e_2,e_1,e_5)
| product1(e_2,e_1,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f550,f42]) ).
fof(f1890,plain,
( product1(e_1,e_1,e_5)
| product1(e_1,e_1,e_4)
| product1(e_1,e_1,e_3)
| product1(e_1,e_1,e_2)
| product1(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f550,f41]) ).
fof(f1891,definition,
( sQ350_spl
<=> product1(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f1892,plain,
( ~ sQ350_spl
| product1(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1891]) ).
fof(f1893,plain,
( sQ350_spl
| ~ product1(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1891]) ).
fof(f1894,definition,
( sQ351_spl
<=> product1(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f1895,plain,
( ~ sQ351_spl
| product1(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1894]) ).
fof(f1896,plain,
( sQ351_spl
| ~ product1(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1894]) ).
fof(f1897,definition,
( sQ352_spl
<=> product1(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f1898,plain,
( ~ sQ352_spl
| product1(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1897]) ).
fof(f1899,plain,
( sQ352_spl
| ~ product1(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1897]) ).
fof(f1900,definition,
( sQ353_spl
<=> product1(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f1901,plain,
( ~ sQ353_spl
| product1(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1900]) ).
fof(f1902,plain,
( sQ353_spl
| ~ product1(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1900]) ).
fof(f1903,definition,
( sQ354_spl
<=> product1(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f1904,plain,
( ~ sQ354_spl
| product1(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1903]) ).
fof(f1905,plain,
( sQ354_spl
| ~ product1(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1903]) ).
fof(f1906,plain,
( sQ354_spl
| sQ353_spl
| sQ352_spl
| sQ351_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f1886,f1891,f1894,f1897,f1900,f1903]) ).
fof(f1907,definition,
( sQ355_spl
<=> product1(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f1908,plain,
( ~ sQ355_spl
| product1(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1907]) ).
fof(f1909,plain,
( sQ355_spl
| ~ product1(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1907]) ).
fof(f1910,definition,
( sQ356_spl
<=> product1(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f1911,plain,
( ~ sQ356_spl
| product1(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1910]) ).
fof(f1912,plain,
( sQ356_spl
| ~ product1(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1910]) ).
fof(f1913,definition,
( sQ357_spl
<=> product1(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f1914,plain,
( ~ sQ357_spl
| product1(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1913]) ).
fof(f1915,plain,
( sQ357_spl
| ~ product1(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1913]) ).
fof(f1916,definition,
( sQ358_spl
<=> product1(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f1917,plain,
( ~ sQ358_spl
| product1(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1916]) ).
fof(f1918,plain,
( sQ358_spl
| ~ product1(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1916]) ).
fof(f1919,definition,
( sQ359_spl
<=> product1(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f1920,plain,
( ~ sQ359_spl
| product1(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1919]) ).
fof(f1921,plain,
( sQ359_spl
| ~ product1(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1919]) ).
fof(f1922,plain,
( sQ359_spl
| sQ358_spl
| sQ357_spl
| sQ356_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f1887,f1907,f1910,f1913,f1916,f1919]) ).
fof(f1923,definition,
( sQ360_spl
<=> product1(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f1924,plain,
( ~ sQ360_spl
| product1(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1923]) ).
fof(f1925,plain,
( sQ360_spl
| ~ product1(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1923]) ).
fof(f1926,definition,
( sQ361_spl
<=> product1(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f1927,plain,
( ~ sQ361_spl
| product1(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1926]) ).
fof(f1928,plain,
( sQ361_spl
| ~ product1(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1926]) ).
fof(f1929,definition,
( sQ362_spl
<=> product1(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f1930,plain,
( ~ sQ362_spl
| product1(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1929]) ).
fof(f1931,plain,
( sQ362_spl
| ~ product1(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1929]) ).
fof(f1932,definition,
( sQ363_spl
<=> product1(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f1933,plain,
( ~ sQ363_spl
| product1(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1932]) ).
fof(f1934,plain,
( sQ363_spl
| ~ product1(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1932]) ).
fof(f1935,definition,
( sQ364_spl
<=> product1(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f1936,plain,
( ~ sQ364_spl
| product1(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1935]) ).
fof(f1937,plain,
( sQ364_spl
| ~ product1(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1935]) ).
fof(f1938,plain,
( sQ364_spl
| sQ363_spl
| sQ362_spl
| sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f1888,f1923,f1926,f1929,f1932,f1935]) ).
fof(f1939,definition,
( sQ365_spl
<=> product1(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f1940,plain,
( ~ sQ365_spl
| product1(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1939]) ).
fof(f1941,plain,
( sQ365_spl
| ~ product1(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1939]) ).
fof(f1942,definition,
( sQ366_spl
<=> product1(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f1943,plain,
( ~ sQ366_spl
| product1(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1942]) ).
fof(f1944,plain,
( sQ366_spl
| ~ product1(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1942]) ).
fof(f1945,definition,
( sQ367_spl
<=> product1(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f1946,plain,
( ~ sQ367_spl
| product1(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1945]) ).
fof(f1947,plain,
( sQ367_spl
| ~ product1(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1945]) ).
fof(f1948,definition,
( sQ368_spl
<=> product1(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f1949,plain,
( ~ sQ368_spl
| product1(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1948]) ).
fof(f1950,plain,
( sQ368_spl
| ~ product1(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1948]) ).
fof(f1951,definition,
( sQ369_spl
<=> product1(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f1952,plain,
( ~ sQ369_spl
| product1(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1951]) ).
fof(f1953,plain,
( sQ369_spl
| ~ product1(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1951]) ).
fof(f1954,plain,
( sQ369_spl
| sQ368_spl
| sQ367_spl
| sQ366_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f1889,f1939,f1942,f1945,f1948,f1951]) ).
fof(f1955,definition,
( sQ370_spl
<=> product1(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f1958,definition,
( sQ371_spl
<=> product1(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f1959,plain,
( ~ sQ371_spl
| product1(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1958]) ).
fof(f1960,plain,
( sQ371_spl
| ~ product1(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1958]) ).
fof(f1961,definition,
( sQ372_spl
<=> product1(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f1962,plain,
( ~ sQ372_spl
| product1(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1961]) ).
fof(f1963,plain,
( sQ372_spl
| ~ product1(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1961]) ).
fof(f1964,definition,
( sQ373_spl
<=> product1(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f1965,plain,
( ~ sQ373_spl
| product1(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1964]) ).
fof(f1966,plain,
( sQ373_spl
| ~ product1(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1964]) ).
fof(f1967,definition,
( sQ374_spl
<=> product1(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f1968,plain,
( ~ sQ374_spl
| product1(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1967]) ).
fof(f1969,plain,
( sQ374_spl
| ~ product1(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1967]) ).
fof(f1970,plain,
( sQ374_spl
| sQ373_spl
| sQ372_spl
| sQ371_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f1890,f1955,f1958,f1961,f1964,f1967]) ).
fof(f1971,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f307,f147]) ).
fof(f1972,plain,
( ~ sQ14_spl
| ~ sQ19_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f307,f163]) ).
fof(f1974,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1971,f59]) ).
fof(f1975,plain,
( ~ sQ9_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1974]) ).
fof(f1976,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f310,f128]) ).
fof(f1977,plain,
( ~ sQ13_spl
| ~ sQ18_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f310,f160]) ).
fof(f1979,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1976,f63]) ).
fof(f1980,plain,
( ~ sQ3_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1979]) ).
fof(f1981,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f125,f80]) ).
fof(f1982,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f125,f78]) ).
fof(f1983,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f125,f76]) ).
fof(f1984,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f313,f125]) ).
fof(f1985,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f313,f141]) ).
fof(f1987,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1984,f63]) ).
fof(f1988,plain,
( ~ sQ2_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1987]) ).
fof(f1989,plain,
( ~ sQ13_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1977,f55]) ).
fof(f1990,plain,
( ~ sQ13_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1989]) ).
fof(f1991,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1985,f59]) ).
fof(f1992,plain,
( ~ sQ7_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1991]) ).
fof(f1993,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f122,f80]) ).
fof(f1994,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f122,f78]) ).
fof(f1995,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f122,f76]) ).
fof(f2000,plain,
( ~ sQ89_spl
| ~ sQ14_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f329,f484]) ).
fof(f2001,plain,
( ~ sQ39_spl
| ~ sQ14_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f329,f272]) ).
fof(f2003,plain,
( ~ sQ89_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2000,f58]) ).
fof(f2004,plain,
( ~ sQ89_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f2003]) ).
fof(f2005,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f340,f122]) ).
fof(f2006,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f340,f138]) ).
fof(f2008,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2005,f64]) ).
fof(f2009,plain,
( ~ sQ1_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2008]) ).
fof(f2010,plain,
( ~ sQ0_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f119,f92]) ).
fof(f2011,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f119,f80]) ).
fof(f2012,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f119,f78]) ).
fof(f2013,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f119,f76]) ).
fof(f2014,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2010,f62]) ).
fof(f2015,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f2014]) ).
fof(f2025,plain,
( ~ sQ1_spl
| ~ sQ6_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f531,f122]) ).
fof(f2027,plain,
( ~ sQ1_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2025,f65]) ).
fof(f2028,plain,
( ~ sQ1_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2027]) ).
fof(f2029,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2006,f60]) ).
fof(f2030,plain,
( ~ sQ6_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2029]) ).
fof(f2040,plain,
( ~ sQ106_spl
| ~ sQ6_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f532,f576]) ).
fof(f2041,plain,
( ~ sQ56_spl
| ~ sQ6_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f532,f374]) ).
fof(f2043,plain,
( ~ sQ106_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2040,f62]) ).
fof(f2044,plain,
( ~ sQ106_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2043]) ).
fof(f2058,plain,
( ~ sQ34_spl
| ~ sQ49_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f721,f256]) ).
fof(f2059,plain,
( ~ sQ39_spl
| ~ sQ49_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f721,f272]) ).
fof(f2060,plain,
( ~ sQ34_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2058,f58]) ).
fof(f2061,plain,
( ~ sQ34_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f2060]) ).
fof(f2062,plain,
( ~ sQ28_spl
| ~ sQ48_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f724,f237]) ).
fof(f2064,plain,
( ~ sQ38_spl
| ~ sQ48_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f724,f269]) ).
fof(f2065,plain,
( ~ sQ28_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2062,f62]) ).
fof(f2066,plain,
( ~ sQ28_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f2065]) ).
fof(f2070,plain,
( ~ sQ27_spl
| ~ sQ47_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f727,f234]) ).
fof(f2072,plain,
( ~ sQ32_spl
| ~ sQ47_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f727,f250]) ).
fof(f2073,plain,
( ~ sQ27_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2070,f62]) ).
fof(f2074,plain,
( ~ sQ27_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f2073]) ).
fof(f2075,plain,
( ~ sQ38_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2064,f54]) ).
fof(f2076,plain,
( ~ sQ38_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f2075]) ).
fof(f2077,plain,
( ~ sQ32_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2072,f58]) ).
fof(f2078,plain,
( ~ sQ32_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f2077]) ).
fof(f2090,plain,
( ~ sQ35_spl
| ~ sQ39_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f768,f260]) ).
fof(f2092,plain,
( ~ sQ35_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2090,f49]) ).
fof(f2093,plain,
( ~ sQ35_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2092]) ).
fof(f2094,plain,
( ~ sQ25_spl
| ~ sQ35_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f784,f228]) ).
fof(f2095,plain,
( ~ sQ30_spl
| ~ sQ35_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f784,f244]) ).
fof(f2097,plain,
( ~ sQ25_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2094,f64]) ).
fof(f2098,plain,
( ~ sQ25_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f2097]) ).
fof(f2106,plain,
( ~ sQ59_spl
| ~ sQ74_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f829,f383]) ).
fof(f2107,plain,
( ~ sQ69_spl
| ~ sQ74_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f829,f415]) ).
fof(f2108,plain,
( ~ sQ59_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2106,f58]) ).
fof(f2109,plain,
( ~ sQ59_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f2108]) ).
fof(f2110,plain,
( ~ sQ53_spl
| ~ sQ73_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1087,f364]) ).
fof(f2112,plain,
( ~ sQ68_spl
| ~ sQ73_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1087,f412]) ).
fof(f2113,plain,
( ~ sQ53_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2110,f62]) ).
fof(f2114,plain,
( ~ sQ53_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f2113]) ).
fof(f2118,plain,
( ~ sQ51_spl
| ~ sQ71_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1096,f358]) ).
fof(f2120,plain,
( ~ sQ56_spl
| ~ sQ71_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1096,f374]) ).
fof(f2121,plain,
( ~ sQ51_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2118,f62]) ).
fof(f2122,plain,
( ~ sQ51_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f2121]) ).
fof(f2123,plain,
( ~ sQ68_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2112,f50]) ).
fof(f2124,plain,
( ~ sQ68_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f2123]) ).
fof(f2125,plain,
( ~ sQ56_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2120,f58]) ).
fof(f2126,plain,
( ~ sQ56_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f2125]) ).
fof(f2137,plain,
( ~ sQ94_spl
| ~ sQ69_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1106,f500]) ).
fof(f2139,plain,
( ~ sQ94_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2137,f60]) ).
fof(f2140,plain,
( ~ sQ94_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f2139]) ).
fof(f2141,plain,
( ~ sQ50_spl
| ~ sQ65_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1123,f355]) ).
fof(f2142,plain,
( ~ sQ55_spl
| ~ sQ65_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1123,f371]) ).
fof(f2144,plain,
( ~ sQ50_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2141,f63]) ).
fof(f2145,plain,
( ~ sQ50_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f2144]) ).
fof(f2152,plain,
( ~ sQ274_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1628,f84]) ).
fof(f2153,plain,
! [X0] :
( ~ sQ274_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f1628,f72]) ).
fof(f2154,plain,
! [X0] :
( ~ sQ274_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1628,f70]) ).
fof(f2155,plain,
! [X0] :
( ~ sQ274_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1628,f68]) ).
fof(f2156,plain,
! [X0] :
( ~ sQ274_spl
| product2(e_5,X0,e_5)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1628,f83]) ).
fof(f2157,plain,
( ~ sQ274_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2152,f49]) ).
fof(f2158,plain,
~ sQ274_spl,
inference(contradiction_clause,[status(thm)],[f2157]) ).
fof(f2159,plain,
! [X0] :
( ~ sQ273_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1625,f72]) ).
fof(f2160,plain,
! [X0] :
( ~ sQ273_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1625,f70]) ).
fof(f2161,plain,
! [X0] :
( ~ sQ273_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1625,f68]) ).
fof(f2162,plain,
! [X0] :
( ~ sQ273_spl
| product2(e_4,X0,e_5)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1625,f83]) ).
fof(f2163,plain,
! [X0] :
( ~ sQ272_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1622,f72]) ).
fof(f2164,plain,
! [X0] :
( ~ sQ272_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1622,f70]) ).
fof(f2165,plain,
! [X0] :
( ~ sQ272_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1622,f68]) ).
fof(f2166,plain,
! [X0] :
( ~ sQ272_spl
| product2(e_3,X0,e_5)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1622,f83]) ).
fof(f2167,plain,
! [X0] :
( ~ sQ271_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1619,f72]) ).
fof(f2168,plain,
! [X0] :
( ~ sQ271_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1619,f70]) ).
fof(f2169,plain,
! [X0] :
( ~ sQ271_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1619,f68]) ).
fof(f2170,plain,
! [X0] :
( ~ sQ271_spl
| product2(e_2,X0,e_5)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1619,f83]) ).
fof(f2172,plain,
( ~ sQ270_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1616,f85]) ).
fof(f2173,plain,
! [X0] :
( ~ sQ270_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1616,f72]) ).
fof(f2174,plain,
! [X0] :
( ~ sQ270_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1616,f70]) ).
fof(f2175,plain,
! [X0] :
( ~ sQ270_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1616,f68]) ).
fof(f2176,plain,
! [X0] :
( ~ sQ270_spl
| product2(e_1,X0,e_5)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1616,f83]) ).
fof(f2178,plain,
( ~ sQ270_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2172,f62]) ).
fof(f2179,plain,
~ sQ270_spl,
inference(contradiction_clause,[status(thm)],[f2178]) ).
fof(f2180,plain,
( ~ sQ269_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1612,f84]) ).
fof(f2181,plain,
! [X0] :
( ~ sQ269_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f1612,f72]) ).
fof(f2182,plain,
! [X0] :
( ~ sQ269_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1612,f70]) ).
fof(f2183,plain,
! [X0] :
( ~ sQ269_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1612,f68]) ).
fof(f2184,plain,
! [X0] :
( ~ sQ269_spl
| product2(e_5,X0,e_5)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1612,f83]) ).
fof(f2185,plain,
( ~ sQ269_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2180,f53]) ).
fof(f2186,plain,
~ sQ269_spl,
inference(contradiction_clause,[status(thm)],[f2185]) ).
fof(f2187,plain,
! [X0] :
( ~ sQ268_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1609,f72]) ).
fof(f2188,plain,
! [X0] :
( ~ sQ268_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1609,f70]) ).
fof(f2189,plain,
! [X0] :
( ~ sQ268_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1609,f68]) ).
fof(f2190,plain,
! [X0] :
( ~ sQ268_spl
| product2(e_4,X0,e_5)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1609,f83]) ).
fof(f2191,plain,
! [X0] :
( ~ sQ267_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1606,f72]) ).
fof(f2192,plain,
! [X0] :
( ~ sQ267_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1606,f70]) ).
fof(f2193,plain,
! [X0] :
( ~ sQ267_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1606,f68]) ).
fof(f2194,plain,
! [X0] :
( ~ sQ267_spl
| product2(e_3,X0,e_5)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1606,f83]) ).
fof(f2196,plain,
( ~ sQ266_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1603,f85]) ).
fof(f2197,plain,
! [X0] :
( ~ sQ266_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1603,f72]) ).
fof(f2198,plain,
! [X0] :
( ~ sQ266_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1603,f70]) ).
fof(f2199,plain,
! [X0] :
( ~ sQ266_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1603,f68]) ).
fof(f2200,plain,
! [X0] :
( ~ sQ266_spl
| product2(e_2,X0,e_5)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1603,f83]) ).
fof(f2202,plain,
( ~ sQ266_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2196,f63]) ).
fof(f2203,plain,
~ sQ266_spl,
inference(contradiction_clause,[status(thm)],[f2202]) ).
fof(f2204,plain,
! [X0] :
( ~ sQ265_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1600,f72]) ).
fof(f2205,plain,
! [X0] :
( ~ sQ265_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1600,f70]) ).
fof(f2206,plain,
! [X0] :
( ~ sQ265_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1600,f68]) ).
fof(f2207,plain,
! [X0] :
( ~ sQ265_spl
| product2(e_1,X0,e_5)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1600,f83]) ).
fof(f2208,plain,
( ~ sQ264_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1596,f84]) ).
fof(f2209,plain,
! [X0] :
( ~ sQ264_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f1596,f72]) ).
fof(f2210,plain,
! [X0] :
( ~ sQ264_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1596,f70]) ).
fof(f2211,plain,
! [X0] :
( ~ sQ264_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1596,f68]) ).
fof(f2212,plain,
! [X0] :
( ~ sQ264_spl
| product2(e_5,X0,e_5)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1596,f83]) ).
fof(f2213,plain,
( ~ sQ264_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2208,f57]) ).
fof(f2214,plain,
~ sQ264_spl,
inference(contradiction_clause,[status(thm)],[f2213]) ).
fof(f2215,plain,
! [X0] :
( ~ sQ263_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1593,f72]) ).
fof(f2216,plain,
! [X0] :
( ~ sQ263_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1593,f70]) ).
fof(f2217,plain,
! [X0] :
( ~ sQ263_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1593,f68]) ).
fof(f2218,plain,
! [X0] :
( ~ sQ263_spl
| product2(e_4,X0,e_5)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1593,f83]) ).
fof(f2220,plain,
( ~ sQ262_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1590,f85]) ).
fof(f2221,plain,
! [X0] :
( ~ sQ262_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1590,f72]) ).
fof(f2222,plain,
! [X0] :
( ~ sQ262_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1590,f70]) ).
fof(f2223,plain,
! [X0] :
( ~ sQ262_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1590,f68]) ).
fof(f2224,plain,
! [X0] :
( ~ sQ262_spl
| product2(e_3,X0,e_5)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1590,f83]) ).
fof(f2226,plain,
( ~ sQ262_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2220,f64]) ).
fof(f2227,plain,
~ sQ262_spl,
inference(contradiction_clause,[status(thm)],[f2226]) ).
fof(f2228,plain,
! [X0] :
( ~ sQ261_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1587,f72]) ).
fof(f2229,plain,
! [X0] :
( ~ sQ261_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1587,f70]) ).
fof(f2230,plain,
! [X0] :
( ~ sQ261_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1587,f68]) ).
fof(f2231,plain,
! [X0] :
( ~ sQ261_spl
| product2(e_2,X0,e_5)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1587,f83]) ).
fof(f2234,plain,
( ~ sQ96_spl
| ~ sQ99_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1194,f507]) ).
fof(f2235,plain,
( ~ sQ97_spl
| ~ sQ99_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1194,f510]) ).
fof(f2237,plain,
( ~ sQ96_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2234,f53]) ).
fof(f2238,plain,
( ~ sQ96_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f2237]) ).
fof(f2239,plain,
( ~ sQ77_spl
| ~ sQ97_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1201,f446]) ).
fof(f2241,plain,
( ~ sQ92_spl
| ~ sQ97_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1201,f494]) ).
fof(f2242,plain,
( ~ sQ77_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2239,f62]) ).
fof(f2243,plain,
( ~ sQ77_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f2242]) ).
fof(f2251,plain,
( ~ sQ117_spl
| ~ sQ92_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1223,f611]) ).
fof(f2253,plain,
( ~ sQ117_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2251,f65]) ).
fof(f2254,plain,
( ~ sQ117_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f2253]) ).
fof(f2255,plain,
( ~ sQ85_spl
| ~ sQ90_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1231,f472]) ).
fof(f2257,plain,
( ~ sQ85_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2255,f55]) ).
fof(f2258,plain,
( ~ sQ85_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f2257]) ).
fof(f2259,plain,
! [X0] :
( ~ sQ260_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1584,f72]) ).
fof(f2260,plain,
! [X0] :
( ~ sQ260_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1584,f70]) ).
fof(f2261,plain,
! [X0] :
( ~ sQ260_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1584,f68]) ).
fof(f2262,plain,
! [X0] :
( ~ sQ260_spl
| product2(e_1,X0,e_5)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1584,f83]) ).
fof(f2263,plain,
( ~ sQ259_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1580,f84]) ).
fof(f2264,plain,
! [X0] :
( ~ sQ259_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f1580,f72]) ).
fof(f2265,plain,
! [X0] :
( ~ sQ259_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1580,f70]) ).
fof(f2266,plain,
! [X0] :
( ~ sQ259_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1580,f68]) ).
fof(f2267,plain,
! [X0] :
( ~ sQ259_spl
| product2(e_5,X0,e_5)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1580,f83]) ).
fof(f2268,plain,
( ~ sQ259_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2263,f61]) ).
fof(f2269,plain,
~ sQ259_spl,
inference(contradiction_clause,[status(thm)],[f2268]) ).
fof(f2271,plain,
( ~ sQ258_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1577,f85]) ).
fof(f2272,plain,
! [X0] :
( ~ sQ258_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1577,f72]) ).
fof(f2273,plain,
! [X0] :
( ~ sQ258_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1577,f70]) ).
fof(f2274,plain,
! [X0] :
( ~ sQ258_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1577,f68]) ).
fof(f2275,plain,
! [X0] :
( ~ sQ258_spl
| product2(e_4,X0,e_5)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1577,f83]) ).
fof(f2277,plain,
( ~ sQ258_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2271,f65]) ).
fof(f2278,plain,
~ sQ258_spl,
inference(contradiction_clause,[status(thm)],[f2277]) ).
fof(f2279,plain,
! [X0] :
( ~ sQ257_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1574,f72]) ).
fof(f2280,plain,
! [X0] :
( ~ sQ257_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1574,f70]) ).
fof(f2281,plain,
! [X0] :
( ~ sQ257_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1574,f68]) ).
fof(f2282,plain,
! [X0] :
( ~ sQ257_spl
| product2(e_3,X0,e_5)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1574,f83]) ).
fof(f2283,plain,
! [X0] :
( ~ sQ256_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1571,f72]) ).
fof(f2284,plain,
! [X0] :
( ~ sQ256_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1571,f70]) ).
fof(f2285,plain,
! [X0] :
( ~ sQ256_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1571,f68]) ).
fof(f2286,plain,
! [X0] :
( ~ sQ256_spl
| product2(e_2,X0,e_5)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1571,f83]) ).
fof(f2287,plain,
! [X0] :
( ~ sQ255_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1568,f72]) ).
fof(f2288,plain,
! [X0] :
( ~ sQ255_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1568,f70]) ).
fof(f2289,plain,
! [X0] :
( ~ sQ255_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1568,f68]) ).
fof(f2290,plain,
! [X0] :
( ~ sQ255_spl
| product2(e_1,X0,e_5)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1568,f83]) ).
fof(f2291,plain,
( ~ sQ253_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1561,f86]) ).
fof(f2292,plain,
! [X0] :
( ~ sQ253_spl
| equalish(X0,e_5)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1561,f72]) ).
fof(f2293,plain,
! [X0] :
( ~ sQ253_spl
| equalish(X0,e_5)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1561,f70]) ).
fof(f2294,plain,
! [X0] :
( ~ sQ253_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f1561,f68]) ).
fof(f2295,plain,
! [X0] :
( ~ sQ253_spl
| product2(e_4,X0,e_5)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f1561,f83]) ).
fof(f2296,plain,
( ~ sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2291,f61]) ).
fof(f2297,plain,
~ sQ253_spl,
inference(contradiction_clause,[status(thm)],[f2296]) ).
fof(f2298,plain,
( ~ sQ252_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1558,f86]) ).
fof(f2299,plain,
! [X0] :
( ~ sQ252_spl
| equalish(X0,e_5)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1558,f72]) ).
fof(f2300,plain,
! [X0] :
( ~ sQ252_spl
| equalish(X0,e_5)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1558,f70]) ).
fof(f2301,plain,
! [X0] :
( ~ sQ252_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f1558,f68]) ).
fof(f2302,plain,
! [X0] :
( ~ sQ252_spl
| product2(e_3,X0,e_5)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f1558,f83]) ).
fof(f2303,plain,
( ~ sQ252_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2298,f57]) ).
fof(f2304,plain,
~ sQ252_spl,
inference(contradiction_clause,[status(thm)],[f2303]) ).
fof(f2308,plain,
( ~ sQ251_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1555,f86]) ).
fof(f2309,plain,
! [X0] :
( ~ sQ251_spl
| equalish(X0,e_5)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1555,f72]) ).
fof(f2310,plain,
! [X0] :
( ~ sQ251_spl
| equalish(X0,e_5)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1555,f70]) ).
fof(f2311,plain,
! [X0] :
( ~ sQ251_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f1555,f68]) ).
fof(f2312,plain,
! [X0] :
( ~ sQ251_spl
| product2(e_2,X0,e_5)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f1555,f83]) ).
fof(f2316,plain,
( ~ sQ251_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2308,f53]) ).
fof(f2317,plain,
~ sQ251_spl,
inference(contradiction_clause,[status(thm)],[f2316]) ).
fof(f2321,plain,
( ~ sQ250_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1552,f86]) ).
fof(f2322,plain,
! [X0] :
( ~ sQ250_spl
| equalish(X0,e_5)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1552,f72]) ).
fof(f2323,plain,
! [X0] :
( ~ sQ250_spl
| equalish(X0,e_5)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1552,f70]) ).
fof(f2324,plain,
! [X0] :
( ~ sQ250_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f1552,f68]) ).
fof(f2325,plain,
! [X0] :
( ~ sQ250_spl
| product2(e_1,X0,e_5)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f1552,f83]) ).
fof(f2329,plain,
( ~ sQ250_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2321,f49]) ).
fof(f2330,plain,
~ sQ250_spl,
inference(contradiction_clause,[status(thm)],[f2329]) ).
fof(f2331,plain,
! [X0] :
( ~ sQ299_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1713,f72]) ).
fof(f2332,plain,
! [X0] :
( ~ sQ299_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1713,f70]) ).
fof(f2333,plain,
! [X0] :
( ~ sQ299_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1713,f68]) ).
fof(f2334,plain,
! [X0] :
( ~ sQ299_spl
| product2(e_5,X0,e_4)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1713,f83]) ).
fof(f2335,plain,
( ~ sQ298_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1710,f84]) ).
fof(f2336,plain,
! [X0] :
( ~ sQ298_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1710,f72]) ).
fof(f2337,plain,
! [X0] :
( ~ sQ298_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1710,f70]) ).
fof(f2338,plain,
! [X0] :
( ~ sQ298_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1710,f68]) ).
fof(f2339,plain,
! [X0] :
( ~ sQ298_spl
| product2(e_4,X0,e_4)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1710,f83]) ).
fof(f2340,plain,
( ~ sQ298_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2335,f48]) ).
fof(f2341,plain,
~ sQ298_spl,
inference(contradiction_clause,[status(thm)],[f2340]) ).
fof(f2342,plain,
! [X0] :
( ~ sQ297_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1707,f72]) ).
fof(f2343,plain,
! [X0] :
( ~ sQ297_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1707,f70]) ).
fof(f2344,plain,
! [X0] :
( ~ sQ297_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1707,f68]) ).
fof(f2345,plain,
! [X0] :
( ~ sQ297_spl
| product2(e_3,X0,e_4)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1707,f83]) ).
fof(f2346,plain,
! [X0] :
( ~ sQ296_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1704,f72]) ).
fof(f2347,plain,
! [X0] :
( ~ sQ296_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1704,f70]) ).
fof(f2348,plain,
! [X0] :
( ~ sQ296_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1704,f68]) ).
fof(f2349,plain,
! [X0] :
( ~ sQ296_spl
| product2(e_2,X0,e_4)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1704,f83]) ).
fof(f2351,plain,
( ~ sQ295_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1701,f85]) ).
fof(f2352,plain,
! [X0] :
( ~ sQ295_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1701,f72]) ).
fof(f2353,plain,
! [X0] :
( ~ sQ295_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1701,f70]) ).
fof(f2354,plain,
! [X0] :
( ~ sQ295_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1701,f68]) ).
fof(f2355,plain,
! [X0] :
( ~ sQ295_spl
| product2(e_1,X0,e_4)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1701,f83]) ).
fof(f2357,plain,
( ~ sQ295_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2351,f58]) ).
fof(f2358,plain,
~ sQ295_spl,
inference(contradiction_clause,[status(thm)],[f2357]) ).
fof(f2359,plain,
! [X0] :
( ~ sQ294_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1697,f72]) ).
fof(f2360,plain,
! [X0] :
( ~ sQ294_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1697,f70]) ).
fof(f2361,plain,
! [X0] :
( ~ sQ294_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1697,f68]) ).
fof(f2362,plain,
! [X0] :
( ~ sQ294_spl
| product2(e_5,X0,e_4)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1697,f83]) ).
fof(f2363,plain,
( ~ sQ293_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1694,f84]) ).
fof(f2364,plain,
! [X0] :
( ~ sQ293_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1694,f72]) ).
fof(f2365,plain,
! [X0] :
( ~ sQ293_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1694,f70]) ).
fof(f2366,plain,
! [X0] :
( ~ sQ293_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1694,f68]) ).
fof(f2367,plain,
! [X0] :
( ~ sQ293_spl
| product2(e_4,X0,e_4)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1694,f83]) ).
fof(f2368,plain,
( ~ sQ293_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2363,f52]) ).
fof(f2369,plain,
~ sQ293_spl,
inference(contradiction_clause,[status(thm)],[f2368]) ).
fof(f2370,plain,
! [X0] :
( ~ sQ292_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1691,f72]) ).
fof(f2371,plain,
! [X0] :
( ~ sQ292_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1691,f70]) ).
fof(f2372,plain,
! [X0] :
( ~ sQ292_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1691,f68]) ).
fof(f2373,plain,
! [X0] :
( ~ sQ292_spl
| product2(e_3,X0,e_4)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1691,f83]) ).
fof(f2380,plain,
( ~ sQ76_spl
| ~ sQ86_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1354,f443]) ).
fof(f2381,plain,
( ~ sQ96_spl
| ~ sQ86_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1354,f507]) ).
fof(f2383,plain,
( ~ sQ76_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2380,f64]) ).
fof(f2384,plain,
( ~ sQ76_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f2383]) ).
fof(f2389,plain,
( ~ sQ113_spl
| ~ sQ123_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1414,f598]) ).
fof(f2390,plain,
( ~ sQ118_spl
| ~ sQ123_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1414,f614]) ).
fof(f2391,plain,
( ~ sQ113_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2389,f54]) ).
fof(f2392,plain,
( ~ sQ113_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f2391]) ).
fof(f2394,plain,
( ~ sQ107_spl
| ~ sQ122_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1417,f579]) ).
fof(f2395,plain,
( ~ sQ107_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2394,f58]) ).
fof(f2396,plain,
( ~ sQ107_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f2395]) ).
fof(f2398,plain,
( ~ sQ111_spl
| ~ sQ121_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1420,f592]) ).
fof(f2399,plain,
( ~ sQ111_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2398,f54]) ).
fof(f2400,plain,
( ~ sQ111_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f2399]) ).
fof(f2402,plain,
( ~ sQ291_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1688,f85]) ).
fof(f2403,plain,
! [X0] :
( ~ sQ291_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1688,f72]) ).
fof(f2404,plain,
! [X0] :
( ~ sQ291_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1688,f70]) ).
fof(f2405,plain,
! [X0] :
( ~ sQ291_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1688,f68]) ).
fof(f2406,plain,
! [X0] :
( ~ sQ291_spl
| product2(e_2,X0,e_4)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1688,f83]) ).
fof(f2408,plain,
( ~ sQ291_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2402,f59]) ).
fof(f2409,plain,
~ sQ291_spl,
inference(contradiction_clause,[status(thm)],[f2408]) ).
fof(f2410,plain,
! [X0] :
( ~ sQ290_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1685,f72]) ).
fof(f2411,plain,
! [X0] :
( ~ sQ290_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1685,f70]) ).
fof(f2412,plain,
! [X0] :
( ~ sQ290_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1685,f68]) ).
fof(f2413,plain,
! [X0] :
( ~ sQ290_spl
| product2(e_1,X0,e_4)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1685,f83]) ).
fof(f2414,plain,
! [X0] :
( ~ sQ289_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1681,f72]) ).
fof(f2415,plain,
! [X0] :
( ~ sQ289_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1681,f70]) ).
fof(f2416,plain,
! [X0] :
( ~ sQ289_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1681,f68]) ).
fof(f2417,plain,
! [X0] :
( ~ sQ289_spl
| product2(e_5,X0,e_4)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1681,f83]) ).
fof(f2418,plain,
( ~ sQ288_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1678,f84]) ).
fof(f2419,plain,
! [X0] :
( ~ sQ288_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1678,f72]) ).
fof(f2420,plain,
! [X0] :
( ~ sQ288_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1678,f70]) ).
fof(f2421,plain,
! [X0] :
( ~ sQ288_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1678,f68]) ).
fof(f2422,plain,
! [X0] :
( ~ sQ288_spl
| product2(e_4,X0,e_4)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1678,f83]) ).
fof(f2423,plain,
( ~ sQ288_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2418,f56]) ).
fof(f2424,plain,
~ sQ288_spl,
inference(contradiction_clause,[status(thm)],[f2423]) ).
fof(f2426,plain,
( ~ sQ287_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1675,f85]) ).
fof(f2427,plain,
! [X0] :
( ~ sQ287_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1675,f72]) ).
fof(f2428,plain,
! [X0] :
( ~ sQ287_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1675,f70]) ).
fof(f2429,plain,
! [X0] :
( ~ sQ287_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1675,f68]) ).
fof(f2430,plain,
! [X0] :
( ~ sQ287_spl
| product2(e_3,X0,e_4)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1675,f83]) ).
fof(f2432,plain,
( ~ sQ287_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2426,f60]) ).
fof(f2433,plain,
~ sQ287_spl,
inference(contradiction_clause,[status(thm)],[f2432]) ).
fof(f2434,plain,
! [X0] :
( ~ sQ286_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1672,f72]) ).
fof(f2435,plain,
! [X0] :
( ~ sQ286_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1672,f70]) ).
fof(f2436,plain,
! [X0] :
( ~ sQ286_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1672,f68]) ).
fof(f2437,plain,
! [X0] :
( ~ sQ286_spl
| product2(e_2,X0,e_4)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1672,f83]) ).
fof(f2438,plain,
! [X0] :
( ~ sQ285_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1669,f72]) ).
fof(f2439,plain,
! [X0] :
( ~ sQ285_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1669,f70]) ).
fof(f2440,plain,
! [X0] :
( ~ sQ285_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1669,f68]) ).
fof(f2441,plain,
! [X0] :
( ~ sQ285_spl
| product2(e_1,X0,e_4)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1669,f83]) ).
fof(f2442,plain,
( ~ sQ284_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1665,f86]) ).
fof(f2443,plain,
! [X0] :
( ~ sQ284_spl
| equalish(X0,e_4)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1665,f72]) ).
fof(f2444,plain,
! [X0] :
( ~ sQ284_spl
| equalish(X0,e_4)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1665,f70]) ).
fof(f2445,plain,
! [X0] :
( ~ sQ284_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1665,f68]) ).
fof(f2446,plain,
! [X0] :
( ~ sQ284_spl
| product2(e_5,X0,e_4)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1665,f83]) ).
fof(f2447,plain,
( ~ sQ284_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2442,f65]) ).
fof(f2448,plain,
~ sQ284_spl,
inference(contradiction_clause,[status(thm)],[f2447]) ).
fof(f2449,plain,
( ~ sQ282_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1659,f86]) ).
fof(f2450,plain,
! [X0] :
( ~ sQ282_spl
| equalish(X0,e_4)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1659,f72]) ).
fof(f2451,plain,
! [X0] :
( ~ sQ282_spl
| equalish(X0,e_4)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1659,f70]) ).
fof(f2452,plain,
! [X0] :
( ~ sQ282_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1659,f68]) ).
fof(f2453,plain,
! [X0] :
( ~ sQ282_spl
| product2(e_3,X0,e_4)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1659,f83]) ).
fof(f2454,plain,
( ~ sQ282_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2449,f56]) ).
fof(f2455,plain,
~ sQ282_spl,
inference(contradiction_clause,[status(thm)],[f2454]) ).
fof(f2456,plain,
( ~ sQ281_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1656,f86]) ).
fof(f2457,plain,
! [X0] :
( ~ sQ281_spl
| equalish(X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1656,f72]) ).
fof(f2458,plain,
! [X0] :
( ~ sQ281_spl
| equalish(X0,e_4)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1656,f70]) ).
fof(f2459,plain,
! [X0] :
( ~ sQ281_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1656,f68]) ).
fof(f2460,plain,
! [X0] :
( ~ sQ281_spl
| product2(e_2,X0,e_4)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1656,f83]) ).
fof(f2461,plain,
( ~ sQ281_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2456,f52]) ).
fof(f2462,plain,
~ sQ281_spl,
inference(contradiction_clause,[status(thm)],[f2461]) ).
fof(f2463,plain,
( ~ sQ280_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1653,f86]) ).
fof(f2464,plain,
! [X0] :
( ~ sQ280_spl
| equalish(X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1653,f72]) ).
fof(f2465,plain,
! [X0] :
( ~ sQ280_spl
| equalish(X0,e_4)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1653,f70]) ).
fof(f2466,plain,
! [X0] :
( ~ sQ280_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1653,f68]) ).
fof(f2467,plain,
! [X0] :
( ~ sQ280_spl
| product2(e_1,X0,e_4)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1653,f83]) ).
fof(f2468,plain,
( ~ sQ280_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2463,f48]) ).
fof(f2469,plain,
~ sQ280_spl,
inference(contradiction_clause,[status(thm)],[f2468]) ).
fof(f2471,plain,
( ~ sQ279_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1649,f85]) ).
fof(f2472,plain,
! [X0] :
( ~ sQ279_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1649,f72]) ).
fof(f2473,plain,
! [X0] :
( ~ sQ279_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f1649,f70]) ).
fof(f2474,plain,
! [X0] :
( ~ sQ279_spl
| equalish(X0,e_5)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1649,f68]) ).
fof(f2475,plain,
! [X0] :
( ~ sQ279_spl
| product2(e_5,X0,e_4)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1649,f83]) ).
fof(f2477,plain,
( ~ sQ279_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2471,f61]) ).
fof(f2478,plain,
~ sQ279_spl,
inference(contradiction_clause,[status(thm)],[f2477]) ).
fof(f2480,plain,
( ~ sQ256_spl
| ~ sQ278_spl
| product2(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f1646,f2286]) ).
fof(f2481,plain,
( ~ sQ257_spl
| ~ sQ278_spl
| product2(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f1646,f2282]) ).
fof(f2482,plain,
( ~ sQ278_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1646,f84]) ).
fof(f2483,plain,
! [X0] :
( ~ sQ278_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1646,f72]) ).
fof(f2484,plain,
! [X0] :
( ~ sQ278_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1646,f70]) ).
fof(f2485,plain,
! [X0] :
( ~ sQ278_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1646,f68]) ).
fof(f2486,plain,
! [X0] :
( ~ sQ278_spl
| product2(e_4,X0,e_4)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1646,f83]) ).
fof(f2488,plain,
( ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2482,f65]) ).
fof(f2489,plain,
~ sQ278_spl,
inference(contradiction_clause,[status(thm)],[f2488]) ).
fof(f2490,plain,
( ~ sQ260_spl
| ~ sQ277_spl
| product2(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f1643,f2262]) ).
fof(f2491,plain,
( ~ sQ261_spl
| ~ sQ277_spl
| product2(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f1643,f2231]) ).
fof(f2492,plain,
( ~ sQ263_spl
| ~ sQ277_spl
| product2(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f1643,f2218]) ).
fof(f2493,plain,
! [X0] :
( ~ sQ277_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1643,f72]) ).
fof(f2494,plain,
! [X0] :
( ~ sQ277_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1643,f70]) ).
fof(f2495,plain,
! [X0] :
( ~ sQ277_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1643,f68]) ).
fof(f2496,plain,
! [X0] :
( ~ sQ277_spl
| product2(e_3,X0,e_4)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1643,f83]) ).
fof(f2497,plain,
( ~ sQ263_spl
| ~ sQ277_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f2492,f467,f1642,f1592]) ).
fof(f2498,plain,
( ~ sQ268_spl
| ~ sQ276_spl
| product2(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f1640,f2190]) ).
fof(f2499,plain,
! [X0] :
( ~ sQ276_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1640,f72]) ).
fof(f2500,plain,
! [X0] :
( ~ sQ276_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1640,f70]) ).
fof(f2501,plain,
! [X0] :
( ~ sQ276_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1640,f68]) ).
fof(f2502,plain,
! [X0] :
( ~ sQ276_spl
| product2(e_2,X0,e_4)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1640,f83]) ).
fof(f2503,plain,
( ~ sQ268_spl
| ~ sQ276_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f2498,f467,f1639,f1608]) ).
fof(f2504,plain,
( ~ sQ273_spl
| ~ sQ275_spl
| product2(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f1637,f2162]) ).
fof(f2505,plain,
! [X0] :
( ~ sQ275_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1637,f72]) ).
fof(f2506,plain,
! [X0] :
( ~ sQ275_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1637,f70]) ).
fof(f2507,plain,
! [X0] :
( ~ sQ275_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1637,f68]) ).
fof(f2508,plain,
! [X0] :
( ~ sQ275_spl
| product2(e_1,X0,e_4)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1637,f83]) ).
fof(f2509,plain,
( ~ sQ273_spl
| ~ sQ275_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f2504,f467,f1636,f1624]) ).
fof(f2510,plain,
! [X0] :
( ~ sQ324_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1798,f72]) ).
fof(f2511,plain,
! [X0] :
( ~ sQ324_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1798,f70]) ).
fof(f2512,plain,
! [X0] :
( ~ sQ324_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1798,f68]) ).
fof(f2513,plain,
! [X0] :
( ~ sQ324_spl
| product2(e_5,X0,e_3)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1798,f83]) ).
fof(f2514,plain,
! [X0] :
( ~ sQ323_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1795,f72]) ).
fof(f2515,plain,
! [X0] :
( ~ sQ323_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1795,f70]) ).
fof(f2516,plain,
! [X0] :
( ~ sQ323_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1795,f68]) ).
fof(f2517,plain,
! [X0] :
( ~ sQ323_spl
| product2(e_4,X0,e_3)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1795,f83]) ).
fof(f2518,plain,
( ~ sQ256_spl
| ~ sQ294_spl
| product2(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f2362,f1571]) ).
fof(f2519,plain,
( ~ sQ256_spl
| ~ sQ294_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2518,f565,f1696,f1570]) ).
fof(f2527,plain,
( ~ sQ68_spl
| ~ sQ118_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1436,f412]) ).
fof(f2528,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1436,f176]) ).
fof(f2530,plain,
( ~ sQ68_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2527,f57]) ).
fof(f2531,plain,
( ~ sQ68_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f2530]) ).
fof(f2532,plain,
( ~ sQ55_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2142,f59]) ).
fof(f2533,plain,
( ~ sQ55_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f2532]) ).
fof(f2540,plain,
( ~ sQ322_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1792,f84]) ).
fof(f2541,plain,
! [X0] :
( ~ sQ322_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1792,f72]) ).
fof(f2542,plain,
! [X0] :
( ~ sQ322_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1792,f70]) ).
fof(f2543,plain,
! [X0] :
( ~ sQ322_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1792,f68]) ).
fof(f2544,plain,
! [X0] :
( ~ sQ322_spl
| product2(e_3,X0,e_3)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1792,f83]) ).
fof(f2545,plain,
( ~ sQ322_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2540,f47]) ).
fof(f2546,plain,
~ sQ322_spl,
inference(contradiction_clause,[status(thm)],[f2545]) ).
fof(f2547,plain,
! [X0] :
( ~ sQ321_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1789,f72]) ).
fof(f2548,plain,
! [X0] :
( ~ sQ321_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1789,f70]) ).
fof(f2549,plain,
! [X0] :
( ~ sQ321_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1789,f68]) ).
fof(f2550,plain,
! [X0] :
( ~ sQ321_spl
| product2(e_2,X0,e_3)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1789,f83]) ).
fof(f2552,plain,
( ~ sQ320_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1786,f85]) ).
fof(f2553,plain,
! [X0] :
( ~ sQ320_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1786,f72]) ).
fof(f2554,plain,
! [X0] :
( ~ sQ320_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1786,f70]) ).
fof(f2555,plain,
! [X0] :
( ~ sQ320_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1786,f68]) ).
fof(f2556,plain,
! [X0] :
( ~ sQ320_spl
| product2(e_1,X0,e_3)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1786,f83]) ).
fof(f2558,plain,
( ~ sQ320_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2552,f54]) ).
fof(f2559,plain,
~ sQ320_spl,
inference(contradiction_clause,[status(thm)],[f2558]) ).
fof(f2560,plain,
! [X0] :
( ~ sQ319_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1782,f72]) ).
fof(f2561,plain,
! [X0] :
( ~ sQ319_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1782,f70]) ).
fof(f2562,plain,
! [X0] :
( ~ sQ319_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1782,f68]) ).
fof(f2563,plain,
! [X0] :
( ~ sQ319_spl
| product2(e_5,X0,e_3)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1782,f83]) ).
fof(f2564,plain,
! [X0] :
( ~ sQ318_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1779,f72]) ).
fof(f2565,plain,
! [X0] :
( ~ sQ318_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1779,f70]) ).
fof(f2566,plain,
! [X0] :
( ~ sQ318_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1779,f68]) ).
fof(f2567,plain,
! [X0] :
( ~ sQ318_spl
| product2(e_4,X0,e_3)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1779,f83]) ).
fof(f2568,plain,
( ~ sQ317_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1776,f84]) ).
fof(f2569,plain,
! [X0] :
( ~ sQ317_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1776,f72]) ).
fof(f2570,plain,
! [X0] :
( ~ sQ317_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1776,f70]) ).
fof(f2571,plain,
! [X0] :
( ~ sQ317_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1776,f68]) ).
fof(f2572,plain,
! [X0] :
( ~ sQ317_spl
| product2(e_3,X0,e_3)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1776,f83]) ).
fof(f2573,plain,
( ~ sQ317_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2568,f51]) ).
fof(f2574,plain,
~ sQ317_spl,
inference(contradiction_clause,[status(thm)],[f2573]) ).
fof(f2576,plain,
( ~ sQ316_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1773,f85]) ).
fof(f2577,plain,
! [X0] :
( ~ sQ316_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1773,f72]) ).
fof(f2578,plain,
! [X0] :
( ~ sQ316_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1773,f70]) ).
fof(f2579,plain,
! [X0] :
( ~ sQ316_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1773,f68]) ).
fof(f2580,plain,
! [X0] :
( ~ sQ316_spl
| product2(e_2,X0,e_3)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1773,f83]) ).
fof(f2582,plain,
( ~ sQ316_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2576,f55]) ).
fof(f2583,plain,
~ sQ316_spl,
inference(contradiction_clause,[status(thm)],[f2582]) ).
fof(f2584,plain,
! [X0] :
( ~ sQ315_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1770,f72]) ).
fof(f2585,plain,
! [X0] :
( ~ sQ315_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1770,f70]) ).
fof(f2586,plain,
! [X0] :
( ~ sQ315_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1770,f68]) ).
fof(f2587,plain,
! [X0] :
( ~ sQ315_spl
| product2(e_1,X0,e_3)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1770,f83]) ).
fof(f2588,plain,
( ~ sQ314_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1766,f86]) ).
fof(f2589,plain,
! [X0] :
( ~ sQ314_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1766,f72]) ).
fof(f2590,plain,
! [X0] :
( ~ sQ314_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1766,f70]) ).
fof(f2591,plain,
! [X0] :
( ~ sQ314_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1766,f68]) ).
fof(f2592,plain,
! [X0] :
( ~ sQ314_spl
| product2(e_5,X0,e_3)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1766,f83]) ).
fof(f2593,plain,
( ~ sQ314_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2588,f64]) ).
fof(f2594,plain,
~ sQ314_spl,
inference(contradiction_clause,[status(thm)],[f2593]) ).
fof(f2595,plain,
( ~ sQ313_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1763,f86]) ).
fof(f2596,plain,
! [X0] :
( ~ sQ313_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1763,f72]) ).
fof(f2597,plain,
! [X0] :
( ~ sQ313_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1763,f70]) ).
fof(f2598,plain,
! [X0] :
( ~ sQ313_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1763,f68]) ).
fof(f2599,plain,
! [X0] :
( ~ sQ313_spl
| product2(e_4,X0,e_3)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1763,f83]) ).
fof(f2600,plain,
( ~ sQ313_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2595,f60]) ).
fof(f2601,plain,
~ sQ313_spl,
inference(contradiction_clause,[status(thm)],[f2600]) ).
fof(f2602,plain,
( ~ sQ311_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1757,f86]) ).
fof(f2603,plain,
! [X0] :
( ~ sQ311_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1757,f72]) ).
fof(f2604,plain,
! [X0] :
( ~ sQ311_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1757,f70]) ).
fof(f2605,plain,
! [X0] :
( ~ sQ311_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1757,f68]) ).
fof(f2606,plain,
! [X0] :
( ~ sQ311_spl
| product2(e_2,X0,e_3)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1757,f83]) ).
fof(f2607,plain,
( ~ sQ311_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2602,f51]) ).
fof(f2608,plain,
~ sQ311_spl,
inference(contradiction_clause,[status(thm)],[f2607]) ).
fof(f2609,plain,
( ~ sQ310_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1754,f86]) ).
fof(f2610,plain,
! [X0] :
( ~ sQ310_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1754,f72]) ).
fof(f2611,plain,
! [X0] :
( ~ sQ310_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1754,f70]) ).
fof(f2612,plain,
! [X0] :
( ~ sQ310_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1754,f68]) ).
fof(f2613,plain,
! [X0] :
( ~ sQ310_spl
| product2(e_1,X0,e_3)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1754,f83]) ).
fof(f2614,plain,
( ~ sQ310_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2609,f47]) ).
fof(f2615,plain,
~ sQ310_spl,
inference(contradiction_clause,[status(thm)],[f2614]) ).
fof(f2616,plain,
! [X0] :
( ~ sQ309_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1750,f72]) ).
fof(f2617,plain,
! [X0] :
( ~ sQ309_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1750,f70]) ).
fof(f2618,plain,
! [X0] :
( ~ sQ309_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1750,f68]) ).
fof(f2619,plain,
! [X0] :
( ~ sQ309_spl
| product2(e_5,X0,e_3)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1750,f83]) ).
fof(f2621,plain,
( ~ sQ308_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1747,f85]) ).
fof(f2622,plain,
! [X0] :
( ~ sQ308_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1747,f72]) ).
fof(f2623,plain,
! [X0] :
( ~ sQ308_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1747,f70]) ).
fof(f2624,plain,
! [X0] :
( ~ sQ308_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1747,f68]) ).
fof(f2625,plain,
! [X0] :
( ~ sQ308_spl
| product2(e_4,X0,e_3)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1747,f83]) ).
fof(f2627,plain,
( ~ sQ308_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2621,f56]) ).
fof(f2628,plain,
~ sQ308_spl,
inference(contradiction_clause,[status(thm)],[f2627]) ).
fof(f2629,plain,
( ~ sQ307_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1744,f84]) ).
fof(f2630,plain,
! [X0] :
( ~ sQ307_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1744,f72]) ).
fof(f2631,plain,
! [X0] :
( ~ sQ307_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1744,f70]) ).
fof(f2632,plain,
! [X0] :
( ~ sQ307_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1744,f68]) ).
fof(f2633,plain,
! [X0] :
( ~ sQ307_spl
| product2(e_3,X0,e_3)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1744,f83]) ).
fof(f2634,plain,
( ~ sQ307_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2629,f60]) ).
fof(f2635,plain,
~ sQ307_spl,
inference(contradiction_clause,[status(thm)],[f2634]) ).
fof(f2636,plain,
( ~ sQ290_spl
| ~ sQ306_spl
| product2(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f1741,f2413]) ).
fof(f2637,plain,
( ~ sQ292_spl
| ~ sQ306_spl
| product2(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f1741,f2373]) ).
fof(f2638,plain,
! [X0] :
( ~ sQ306_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1741,f72]) ).
fof(f2639,plain,
! [X0] :
( ~ sQ306_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1741,f70]) ).
fof(f2640,plain,
! [X0] :
( ~ sQ306_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1741,f68]) ).
fof(f2641,plain,
! [X0] :
( ~ sQ306_spl
| product2(e_2,X0,e_3)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1741,f83]) ).
fof(f2642,plain,
( ~ sQ290_spl
| ~ sQ306_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f2636,f427,f1740,f1684]) ).
fof(f2643,plain,
( ~ sQ292_spl
| ~ sQ306_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f2637,f395,f1740,f1690]) ).
fof(f2644,plain,
( ~ sQ296_spl
| ~ sQ305_spl
| product2(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1738,f2349]) ).
fof(f2645,plain,
( ~ sQ297_spl
| ~ sQ305_spl
| product2(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f1738,f2345]) ).
fof(f2646,plain,
( ~ sQ299_spl
| ~ sQ305_spl
| product2(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f1738,f2334]) ).
fof(f2647,plain,
! [X0] :
( ~ sQ305_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1738,f72]) ).
fof(f2648,plain,
! [X0] :
( ~ sQ305_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1738,f70]) ).
fof(f2649,plain,
! [X0] :
( ~ sQ305_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1738,f68]) ).
fof(f2650,plain,
! [X0] :
( ~ sQ305_spl
| product2(e_1,X0,e_3)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1738,f83]) ).
fof(f2651,plain,
( ~ sQ297_spl
| ~ sQ305_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f2645,f395,f1737,f1706]) ).
fof(f2653,plain,
( ~ sQ304_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1734,f85]) ).
fof(f2654,plain,
! [X0] :
( ~ sQ304_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1734,f72]) ).
fof(f2655,plain,
! [X0] :
( ~ sQ304_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f1734,f70]) ).
fof(f2656,plain,
! [X0] :
( ~ sQ304_spl
| equalish(X0,e_5)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1734,f68]) ).
fof(f2657,plain,
! [X0] :
( ~ sQ304_spl
| product2(e_5,X0,e_3)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1734,f83]) ).
fof(f2659,plain,
( ~ sQ304_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2653,f57]) ).
fof(f2660,plain,
~ sQ304_spl,
inference(contradiction_clause,[status(thm)],[f2659]) ).
fof(f2661,plain,
( ~ sQ257_spl
| ~ sQ289_spl
| product2(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f2417,f1574]) ).
fof(f2662,plain,
( ~ sQ257_spl
| ~ sQ289_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2661,f565,f1680,f1573]) ).
fof(f2663,plain,
( ~ sQ257_spl
| ~ sQ286_spl
| product2(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f2437,f1574]) ).
fof(f2664,plain,
( ~ sQ257_spl
| ~ sQ286_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f2663,f613,f1671,f1573]) ).
fof(f2665,plain,
( ~ sQ309_spl
| ~ sQ275_spl
| product2(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f2508,f1750]) ).
fof(f2666,plain,
( ~ sQ309_spl
| ~ sQ275_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f2665,f427,f1636,f1749]) ).
fof(f2667,plain,
( ~ sQ296_spl
| ~ sQ305_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f2644,f411,f1737,f1703]) ).
fof(f2668,plain,
( ~ sQ299_spl
| ~ sQ305_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f2646,f363,f1737,f1712]) ).
fof(f2681,plain,
( ~ sQ105_spl
| ~ sQ115_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1447,f573]) ).
fof(f2682,plain,
( ~ sQ110_spl
| ~ sQ115_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1447,f589]) ).
fof(f2684,plain,
( ~ sQ105_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2681,f59]) ).
fof(f2685,plain,
( ~ sQ105_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f2684]) ).
fof(f2686,plain,
( ~ sQ110_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2682,f55]) ).
fof(f2687,plain,
( ~ sQ110_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f2686]) ).
fof(f2691,plain,
! [X0] :
( ~ sQ303_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1731,f72]) ).
fof(f2692,plain,
! [X0] :
( ~ sQ303_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1731,f70]) ).
fof(f2693,plain,
! [X0] :
( ~ sQ303_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1731,f68]) ).
fof(f2694,plain,
! [X0] :
( ~ sQ303_spl
| product2(e_4,X0,e_3)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1731,f83]) ).
fof(f2697,plain,
( ~ sQ302_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1728,f84]) ).
fof(f2698,plain,
! [X0] :
( ~ sQ302_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1728,f72]) ).
fof(f2699,plain,
! [X0] :
( ~ sQ302_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1728,f70]) ).
fof(f2700,plain,
! [X0] :
( ~ sQ302_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1728,f68]) ).
fof(f2701,plain,
! [X0] :
( ~ sQ302_spl
| product2(e_3,X0,e_3)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1728,f83]) ).
fof(f2704,plain,
( ~ sQ302_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2697,f64]) ).
fof(f2705,plain,
~ sQ302_spl,
inference(contradiction_clause,[status(thm)],[f2704]) ).
fof(f2706,plain,
( ~ sQ265_spl
| ~ sQ301_spl
| product2(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f1725,f2207]) ).
fof(f2707,plain,
! [X0] :
( ~ sQ301_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1725,f72]) ).
fof(f2708,plain,
! [X0] :
( ~ sQ301_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1725,f70]) ).
fof(f2709,plain,
! [X0] :
( ~ sQ301_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1725,f68]) ).
fof(f2710,plain,
! [X0] :
( ~ sQ301_spl
| product2(e_2,X0,e_3)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1725,f83]) ).
fof(f2711,plain,
( ~ sQ265_spl
| ~ sQ301_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f2706,f430,f1724,f1599]) ).
fof(f2712,plain,
( ~ sQ271_spl
| ~ sQ300_spl
| product2(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f1722,f2170]) ).
fof(f2713,plain,
! [X0] :
( ~ sQ300_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1722,f72]) ).
fof(f2714,plain,
! [X0] :
( ~ sQ300_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1722,f70]) ).
fof(f2715,plain,
! [X0] :
( ~ sQ300_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1722,f68]) ).
fof(f2716,plain,
! [X0] :
( ~ sQ300_spl
| product2(e_1,X0,e_3)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1722,f83]) ).
fof(f2717,plain,
( ~ sQ271_spl
| ~ sQ300_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f2712,f414,f1721,f1618]) ).
fof(f2718,plain,
! [X0] :
( ~ sQ349_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1883,f72]) ).
fof(f2719,plain,
! [X0] :
( ~ sQ349_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1883,f70]) ).
fof(f2720,plain,
! [X0] :
( ~ sQ349_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1883,f68]) ).
fof(f2721,plain,
! [X0] :
( ~ sQ349_spl
| product2(e_5,X0,e_2)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1883,f83]) ).
fof(f2722,plain,
! [X0] :
( ~ sQ348_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1880,f72]) ).
fof(f2723,plain,
! [X0] :
( ~ sQ348_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1880,f70]) ).
fof(f2724,plain,
! [X0] :
( ~ sQ348_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1880,f68]) ).
fof(f2725,plain,
! [X0] :
( ~ sQ348_spl
| product2(e_4,X0,e_2)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1880,f83]) ).
fof(f2726,plain,
! [X0] :
( ~ sQ347_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1877,f72]) ).
fof(f2727,plain,
! [X0] :
( ~ sQ347_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1877,f70]) ).
fof(f2728,plain,
! [X0] :
( ~ sQ347_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1877,f68]) ).
fof(f2729,plain,
! [X0] :
( ~ sQ347_spl
| product2(e_3,X0,e_2)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1877,f83]) ).
fof(f2730,plain,
( ~ sQ346_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1874,f84]) ).
fof(f2731,plain,
! [X0] :
( ~ sQ346_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1874,f72]) ).
fof(f2732,plain,
! [X0] :
( ~ sQ346_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1874,f70]) ).
fof(f2733,plain,
! [X0] :
( ~ sQ346_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1874,f68]) ).
fof(f2734,plain,
! [X0] :
( ~ sQ346_spl
| product2(e_2,X0,e_2)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1874,f83]) ).
fof(f2735,plain,
( ~ sQ346_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2730,f46]) ).
fof(f2736,plain,
~ sQ346_spl,
inference(contradiction_clause,[status(thm)],[f2735]) ).
fof(f2738,plain,
( ~ sQ345_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1871,f85]) ).
fof(f2739,plain,
! [X0] :
( ~ sQ345_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1871,f72]) ).
fof(f2740,plain,
! [X0] :
( ~ sQ345_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1871,f70]) ).
fof(f2741,plain,
! [X0] :
( ~ sQ345_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1871,f68]) ).
fof(f2742,plain,
! [X0] :
( ~ sQ345_spl
| product2(e_1,X0,e_2)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1871,f83]) ).
fof(f2744,plain,
( ~ sQ345_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2738,f50]) ).
fof(f2745,plain,
~ sQ345_spl,
inference(contradiction_clause,[status(thm)],[f2744]) ).
fof(f2746,plain,
( ~ sQ344_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1867,f86]) ).
fof(f2747,plain,
! [X0] :
( ~ sQ344_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1867,f72]) ).
fof(f2748,plain,
! [X0] :
( ~ sQ344_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1867,f70]) ).
fof(f2749,plain,
! [X0] :
( ~ sQ344_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1867,f68]) ).
fof(f2750,plain,
! [X0] :
( ~ sQ344_spl
| product2(e_5,X0,e_2)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1867,f83]) ).
fof(f2751,plain,
( ~ sQ344_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2746,f63]) ).
fof(f2752,plain,
~ sQ344_spl,
inference(contradiction_clause,[status(thm)],[f2751]) ).
fof(f2753,plain,
( ~ sQ343_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1864,f86]) ).
fof(f2754,plain,
! [X0] :
( ~ sQ343_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1864,f72]) ).
fof(f2755,plain,
! [X0] :
( ~ sQ343_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1864,f70]) ).
fof(f2756,plain,
! [X0] :
( ~ sQ343_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1864,f68]) ).
fof(f2757,plain,
! [X0] :
( ~ sQ343_spl
| product2(e_4,X0,e_2)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1864,f83]) ).
fof(f2758,plain,
( ~ sQ343_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2753,f59]) ).
fof(f2759,plain,
~ sQ343_spl,
inference(contradiction_clause,[status(thm)],[f2758]) ).
fof(f2760,plain,
( ~ sQ342_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1861,f86]) ).
fof(f2761,plain,
! [X0] :
( ~ sQ342_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1861,f72]) ).
fof(f2762,plain,
! [X0] :
( ~ sQ342_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1861,f70]) ).
fof(f2763,plain,
! [X0] :
( ~ sQ342_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1861,f68]) ).
fof(f2764,plain,
! [X0] :
( ~ sQ342_spl
| product2(e_3,X0,e_2)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1861,f83]) ).
fof(f2765,plain,
( ~ sQ342_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2760,f55]) ).
fof(f2766,plain,
~ sQ342_spl,
inference(contradiction_clause,[status(thm)],[f2765]) ).
fof(f2767,plain,
( ~ sQ340_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1855,f86]) ).
fof(f2768,plain,
! [X0] :
( ~ sQ340_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1855,f72]) ).
fof(f2769,plain,
! [X0] :
( ~ sQ340_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1855,f70]) ).
fof(f2770,plain,
! [X0] :
( ~ sQ340_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1855,f68]) ).
fof(f2771,plain,
! [X0] :
( ~ sQ340_spl
| product2(e_1,X0,e_2)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1855,f83]) ).
fof(f2772,plain,
( ~ sQ340_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2767,f46]) ).
fof(f2773,plain,
~ sQ340_spl,
inference(contradiction_clause,[status(thm)],[f2772]) ).
fof(f2774,plain,
! [X0] :
( ~ sQ339_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1851,f72]) ).
fof(f2775,plain,
! [X0] :
( ~ sQ339_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1851,f70]) ).
fof(f2776,plain,
! [X0] :
( ~ sQ339_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1851,f68]) ).
fof(f2777,plain,
! [X0] :
( ~ sQ339_spl
| product2(e_5,X0,e_2)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1851,f83]) ).
fof(f2778,plain,
! [X0] :
( ~ sQ338_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1848,f72]) ).
fof(f2779,plain,
! [X0] :
( ~ sQ338_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1848,f70]) ).
fof(f2780,plain,
! [X0] :
( ~ sQ338_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1848,f68]) ).
fof(f2781,plain,
! [X0] :
( ~ sQ338_spl
| product2(e_4,X0,e_2)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1848,f83]) ).
fof(f2783,plain,
( ~ sQ337_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1845,f85]) ).
fof(f2784,plain,
! [X0] :
( ~ sQ337_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1845,f72]) ).
fof(f2785,plain,
! [X0] :
( ~ sQ337_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1845,f70]) ).
fof(f2786,plain,
! [X0] :
( ~ sQ337_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1845,f68]) ).
fof(f2787,plain,
! [X0] :
( ~ sQ337_spl
| product2(e_3,X0,e_2)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1845,f83]) ).
fof(f2789,plain,
( ~ sQ337_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2783,f51]) ).
fof(f2790,plain,
~ sQ337_spl,
inference(contradiction_clause,[status(thm)],[f2789]) ).
fof(f2791,plain,
( ~ sQ336_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1842,f84]) ).
fof(f2792,plain,
! [X0] :
( ~ sQ336_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1842,f72]) ).
fof(f2793,plain,
! [X0] :
( ~ sQ336_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1842,f70]) ).
fof(f2794,plain,
! [X0] :
( ~ sQ336_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1842,f68]) ).
fof(f2795,plain,
! [X0] :
( ~ sQ336_spl
| product2(e_2,X0,e_2)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1842,f83]) ).
fof(f2796,plain,
( ~ sQ336_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2791,f55]) ).
fof(f2797,plain,
~ sQ336_spl,
inference(contradiction_clause,[status(thm)],[f2796]) ).
fof(f2798,plain,
! [X0] :
( ~ sQ335_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1839,f72]) ).
fof(f2799,plain,
! [X0] :
( ~ sQ335_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1839,f70]) ).
fof(f2800,plain,
! [X0] :
( ~ sQ335_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1839,f68]) ).
fof(f2801,plain,
! [X0] :
( ~ sQ335_spl
| product2(e_1,X0,e_2)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1839,f83]) ).
fof(f2802,plain,
( ~ sQ335_spl
| ~ sQ324_spl
| product2(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f2513,f1839]) ).
fof(f2803,plain,
( ~ sQ285_spl
| ~ sQ324_spl
| product2(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f2513,f1669]) ).
fof(f2804,plain,
( ~ sQ335_spl
| ~ sQ324_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f2802,f233,f1797,f1838]) ).
fof(f2805,plain,
( ~ sQ335_spl
| ~ sQ323_spl
| product2(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f2517,f1839]) ).
fof(f2806,plain,
( ~ sQ285_spl
| ~ sQ323_spl
| product2(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f2517,f1669]) ).
fof(f2807,plain,
( ~ sQ335_spl
| ~ sQ323_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f2805,f249,f1794,f1838]) ).
fof(f2808,plain,
( ~ sQ285_spl
| ~ sQ323_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f2806,f461,f1794,f1668]) ).
fof(f2809,plain,
! [X0] :
( ~ sQ285_spl
| ~ sQ324_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2803,f80]) ).
fof(f2810,plain,
! [X0] :
( ~ sQ285_spl
| ~ sQ324_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2803,f78]) ).
fof(f2811,plain,
! [X0] :
( ~ sQ285_spl
| ~ sQ324_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2803,f76]) ).
fof(f2813,plain,
( ~ sQ92_spl
| ~ sQ285_spl
| ~ sQ324_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2809,f494]) ).
fof(f2814,plain,
( ~ sQ92_spl
| ~ sQ285_spl
| ~ sQ324_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2813,f53]) ).
fof(f2815,plain,
( ~ sQ92_spl
| ~ sQ285_spl
| ~ sQ324_spl ),
inference(contradiction_clause,[status(thm)],[f2814]) ).
fof(f2816,plain,
( ~ sQ261_spl
| ~ sQ319_spl
| product2(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f2563,f1587]) ).
fof(f2817,plain,
( ~ sQ261_spl
| ~ sQ319_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f2816,f562,f1781,f1586]) ).
fof(f2826,plain,
( ~ sQ68_spl
| ~ sQ18_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f311,f412]) ).
fof(f2828,plain,
( ~ sQ68_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2826,f54]) ).
fof(f2829,plain,
( ~ sQ68_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f2828]) ).
fof(f2836,plain,
! [X0] :
( ~ sQ334_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1835,f72]) ).
fof(f2837,plain,
! [X0] :
( ~ sQ334_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1835,f70]) ).
fof(f2838,plain,
! [X0] :
( ~ sQ334_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1835,f68]) ).
fof(f2839,plain,
! [X0] :
( ~ sQ334_spl
| product2(e_5,X0,e_2)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1835,f83]) ).
fof(f2841,plain,
( ~ sQ333_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1832,f85]) ).
fof(f2842,plain,
! [X0] :
( ~ sQ333_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1832,f72]) ).
fof(f2843,plain,
! [X0] :
( ~ sQ333_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1832,f70]) ).
fof(f2844,plain,
! [X0] :
( ~ sQ333_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1832,f68]) ).
fof(f2845,plain,
! [X0] :
( ~ sQ333_spl
| product2(e_4,X0,e_2)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1832,f83]) ).
fof(f2847,plain,
( ~ sQ333_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2841,f52]) ).
fof(f2848,plain,
~ sQ333_spl,
inference(contradiction_clause,[status(thm)],[f2847]) ).
fof(f2849,plain,
! [X0] :
( ~ sQ332_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1829,f72]) ).
fof(f2850,plain,
! [X0] :
( ~ sQ332_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1829,f70]) ).
fof(f2851,plain,
! [X0] :
( ~ sQ332_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1829,f68]) ).
fof(f2852,plain,
! [X0] :
( ~ sQ332_spl
| product2(e_3,X0,e_2)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1829,f83]) ).
fof(f2854,plain,
( ~ sQ331_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1826,f84]) ).
fof(f2855,plain,
! [X0] :
( ~ sQ331_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1826,f72]) ).
fof(f2856,plain,
! [X0] :
( ~ sQ331_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1826,f70]) ).
fof(f2857,plain,
! [X0] :
( ~ sQ331_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1826,f68]) ).
fof(f2858,plain,
! [X0] :
( ~ sQ331_spl
| product2(e_2,X0,e_2)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1826,f83]) ).
fof(f2860,plain,
( ~ sQ331_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2854,f59]) ).
fof(f2861,plain,
~ sQ331_spl,
inference(contradiction_clause,[status(thm)],[f2860]) ).
fof(f2862,plain,
( ~ sQ296_spl
| ~ sQ330_spl
| product2(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f1823,f2349]) ).
fof(f2863,plain,
! [X0] :
( ~ sQ330_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1823,f72]) ).
fof(f2864,plain,
! [X0] :
( ~ sQ330_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1823,f70]) ).
fof(f2865,plain,
! [X0] :
( ~ sQ330_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1823,f68]) ).
fof(f2866,plain,
! [X0] :
( ~ sQ330_spl
| product2(e_1,X0,e_2)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1823,f83]) ).
fof(f2867,plain,
( ~ sQ296_spl
| ~ sQ330_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f2862,f284,f1822,f1703]) ).
fof(f2868,plain,
( ~ sQ69_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2107,f50]) ).
fof(f2869,plain,
( ~ sQ69_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f2868]) ).
fof(f2870,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2528,f49]) ).
fof(f2871,plain,
( ~ sQ18_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f2870]) ).
fof(f2873,plain,
( ~ sQ329_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1819,f85]) ).
fof(f2874,plain,
! [X0] :
( ~ sQ329_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1819,f72]) ).
fof(f2875,plain,
! [X0] :
( ~ sQ329_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f1819,f70]) ).
fof(f2876,plain,
! [X0] :
( ~ sQ329_spl
| equalish(X0,e_5)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1819,f68]) ).
fof(f2877,plain,
! [X0] :
( ~ sQ329_spl
| product2(e_5,X0,e_2)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1819,f83]) ).
fof(f2879,plain,
( ~ sQ329_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2873,f53]) ).
fof(f2880,plain,
~ sQ329_spl,
inference(contradiction_clause,[status(thm)],[f2879]) ).
fof(f2881,plain,
! [X0] :
( ~ sQ328_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1816,f72]) ).
fof(f2882,plain,
! [X0] :
( ~ sQ328_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1816,f70]) ).
fof(f2883,plain,
! [X0] :
( ~ sQ328_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1816,f68]) ).
fof(f2884,plain,
! [X0] :
( ~ sQ328_spl
| product2(e_4,X0,e_2)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1816,f83]) ).
fof(f2885,plain,
! [X0] :
( ~ sQ327_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1813,f72]) ).
fof(f2886,plain,
! [X0] :
( ~ sQ327_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1813,f70]) ).
fof(f2887,plain,
! [X0] :
( ~ sQ327_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1813,f68]) ).
fof(f2888,plain,
! [X0] :
( ~ sQ327_spl
| product2(e_3,X0,e_2)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1813,f83]) ).
fof(f2889,plain,
( ~ sQ326_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1810,f84]) ).
fof(f2890,plain,
! [X0] :
( ~ sQ326_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1810,f72]) ).
fof(f2891,plain,
! [X0] :
( ~ sQ326_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1810,f70]) ).
fof(f2892,plain,
! [X0] :
( ~ sQ326_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1810,f68]) ).
fof(f2893,plain,
! [X0] :
( ~ sQ326_spl
| product2(e_2,X0,e_2)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1810,f83]) ).
fof(f2894,plain,
( ~ sQ326_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2889,f63]) ).
fof(f2895,plain,
~ sQ326_spl,
inference(contradiction_clause,[status(thm)],[f2894]) ).
fof(f2896,plain,
! [X0] :
( ~ sQ325_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1807,f72]) ).
fof(f2897,plain,
! [X0] :
( ~ sQ325_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1807,f70]) ).
fof(f2898,plain,
! [X0] :
( ~ sQ325_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1807,f68]) ).
fof(f2899,plain,
! [X0] :
( ~ sQ325_spl
| product2(e_1,X0,e_2)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1807,f83]) ).
fof(f2900,plain,
( ~ sQ374_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1968,f86]) ).
fof(f2901,plain,
! [X0] :
( ~ sQ374_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1968,f72]) ).
fof(f2902,plain,
! [X0] :
( ~ sQ374_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1968,f70]) ).
fof(f2903,plain,
! [X0] :
( ~ sQ374_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1968,f68]) ).
fof(f2904,plain,
! [X0] :
( ~ sQ374_spl
| product2(e_5,X0,e_1)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1968,f83]) ).
fof(f2905,plain,
( ~ sQ374_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2900,f62]) ).
fof(f2906,plain,
~ sQ374_spl,
inference(contradiction_clause,[status(thm)],[f2905]) ).
fof(f2907,plain,
( ~ sQ373_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1965,f86]) ).
fof(f2908,plain,
! [X0] :
( ~ sQ373_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1965,f72]) ).
fof(f2909,plain,
! [X0] :
( ~ sQ373_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1965,f70]) ).
fof(f2910,plain,
! [X0] :
( ~ sQ373_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1965,f68]) ).
fof(f2911,plain,
! [X0] :
( ~ sQ373_spl
| product2(e_4,X0,e_1)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1965,f83]) ).
fof(f2912,plain,
( ~ sQ373_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2907,f58]) ).
fof(f2913,plain,
~ sQ373_spl,
inference(contradiction_clause,[status(thm)],[f2912]) ).
fof(f2914,plain,
( ~ sQ372_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1962,f86]) ).
fof(f2915,plain,
! [X0] :
( ~ sQ372_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1962,f72]) ).
fof(f2916,plain,
! [X0] :
( ~ sQ372_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1962,f70]) ).
fof(f2917,plain,
! [X0] :
( ~ sQ372_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1962,f68]) ).
fof(f2918,plain,
! [X0] :
( ~ sQ372_spl
| product2(e_3,X0,e_1)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1962,f83]) ).
fof(f2919,plain,
( ~ sQ372_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2914,f54]) ).
fof(f2920,plain,
~ sQ372_spl,
inference(contradiction_clause,[status(thm)],[f2919]) ).
fof(f2921,plain,
( ~ sQ371_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1959,f86]) ).
fof(f2922,plain,
! [X0] :
( ~ sQ371_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1959,f72]) ).
fof(f2923,plain,
! [X0] :
( ~ sQ371_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1959,f70]) ).
fof(f2924,plain,
! [X0] :
( ~ sQ371_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1959,f68]) ).
fof(f2925,plain,
! [X0] :
( ~ sQ371_spl
| product2(e_2,X0,e_1)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1959,f83]) ).
fof(f2926,plain,
( ~ sQ371_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2921,f50]) ).
fof(f2927,plain,
~ sQ371_spl,
inference(contradiction_clause,[status(thm)],[f2926]) ).
fof(f2928,plain,
! [X0] :
( ~ sQ369_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1952,f72]) ).
fof(f2929,plain,
! [X0] :
( ~ sQ369_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1952,f70]) ).
fof(f2930,plain,
! [X0] :
( ~ sQ369_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1952,f68]) ).
fof(f2931,plain,
! [X0] :
( ~ sQ369_spl
| product2(e_5,X0,e_1)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1952,f83]) ).
fof(f2932,plain,
! [X0] :
( ~ sQ368_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1949,f72]) ).
fof(f2933,plain,
! [X0] :
( ~ sQ368_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1949,f70]) ).
fof(f2934,plain,
! [X0] :
( ~ sQ368_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1949,f68]) ).
fof(f2935,plain,
! [X0] :
( ~ sQ368_spl
| product2(e_4,X0,e_1)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1949,f83]) ).
fof(f2936,plain,
! [X0] :
( ~ sQ367_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1946,f72]) ).
fof(f2937,plain,
! [X0] :
( ~ sQ367_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1946,f70]) ).
fof(f2938,plain,
! [X0] :
( ~ sQ367_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1946,f68]) ).
fof(f2939,plain,
! [X0] :
( ~ sQ367_spl
| product2(e_3,X0,e_1)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1946,f83]) ).
fof(f2941,plain,
( ~ sQ366_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1943,f85]) ).
fof(f2942,plain,
! [X0] :
( ~ sQ366_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1943,f72]) ).
fof(f2943,plain,
! [X0] :
( ~ sQ366_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1943,f70]) ).
fof(f2944,plain,
! [X0] :
( ~ sQ366_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1943,f68]) ).
fof(f2945,plain,
! [X0] :
( ~ sQ366_spl
| product2(e_2,X0,e_1)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1943,f83]) ).
fof(f2947,plain,
( ~ sQ366_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2941,f46]) ).
fof(f2948,plain,
~ sQ366_spl,
inference(contradiction_clause,[status(thm)],[f2947]) ).
fof(f2949,plain,
( ~ sQ328_spl
| ~ sQ255_spl
| product2(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f2290,f1816]) ).
fof(f2950,plain,
( ~ sQ303_spl
| ~ sQ255_spl
| product2(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f2290,f1731]) ).
fof(f2951,plain,
( ~ sQ328_spl
| ~ sQ255_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2949,f303,f1567,f1815]) ).
fof(f2952,plain,
( ~ sQ303_spl
| ~ sQ255_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f2950,f430,f1567,f1730]) ).
fof(f2953,plain,
( ~ sQ56_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2041,f54]) ).
fof(f2954,plain,
( ~ sQ56_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2953]) ).
fof(f2955,plain,
( ~ sQ339_spl
| ~ sQ303_spl
| product2(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f2694,f1851]) ).
fof(f2956,plain,
( ~ sQ315_spl
| ~ sQ349_spl
| product2(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f2721,f1770]) ).
fof(f2957,plain,
( ~ sQ290_spl
| ~ sQ349_spl
| product2(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f2721,f1685]) ).
fof(f2958,plain,
( ~ sQ290_spl
| ~ sQ349_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f2957,f442,f1882,f1684]) ).
fof(f2959,plain,
( ~ sQ315_spl
| ~ sQ348_spl
| product2(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f2725,f1770]) ).
fof(f2960,plain,
( ~ sQ290_spl
| ~ sQ348_spl
| product2(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f2725,f1685]) ).
fof(f2961,plain,
( ~ sQ290_spl
| ~ sQ348_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f2960,f458,f1879,f1684]) ).
fof(f2981,plain,
( ~ sQ365_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1940,f84]) ).
fof(f2982,plain,
! [X0] :
( ~ sQ365_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1940,f72]) ).
fof(f2983,plain,
! [X0] :
( ~ sQ365_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1940,f70]) ).
fof(f2984,plain,
! [X0] :
( ~ sQ365_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1940,f68]) ).
fof(f2985,plain,
! [X0] :
( ~ sQ365_spl
| product2(e_1,X0,e_1)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1940,f83]) ).
fof(f2987,plain,
( ~ sQ365_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2981,f50]) ).
fof(f2988,plain,
~ sQ365_spl,
inference(contradiction_clause,[status(thm)],[f2987]) ).
fof(f2989,plain,
( ~ sQ303_spl
| ~ sQ364_spl
| product2(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f1936,f2694]) ).
fof(f2990,plain,
! [X0] :
( ~ sQ364_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1936,f72]) ).
fof(f2991,plain,
! [X0] :
( ~ sQ364_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1936,f70]) ).
fof(f2992,plain,
! [X0] :
( ~ sQ364_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1936,f68]) ).
fof(f2993,plain,
! [X0] :
( ~ sQ364_spl
| product2(e_5,X0,e_1)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1936,f83]) ).
fof(f2994,plain,
! [X0] :
( ~ sQ363_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1933,f72]) ).
fof(f2995,plain,
! [X0] :
( ~ sQ363_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1933,f70]) ).
fof(f2996,plain,
! [X0] :
( ~ sQ363_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1933,f68]) ).
fof(f2997,plain,
! [X0] :
( ~ sQ363_spl
| product2(e_4,X0,e_1)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1933,f83]) ).
fof(f2999,plain,
( ~ sQ362_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1930,f85]) ).
fof(f3000,plain,
! [X0] :
( ~ sQ362_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1930,f72]) ).
fof(f3001,plain,
! [X0] :
( ~ sQ362_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1930,f70]) ).
fof(f3002,plain,
! [X0] :
( ~ sQ362_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1930,f68]) ).
fof(f3003,plain,
! [X0] :
( ~ sQ362_spl
| product2(e_3,X0,e_1)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1930,f83]) ).
fof(f3005,plain,
( ~ sQ362_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2999,f47]) ).
fof(f3006,plain,
~ sQ362_spl,
inference(contradiction_clause,[status(thm)],[f3005]) ).
fof(f3007,plain,
( ~ sQ315_spl
| ~ sQ361_spl
| product2(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f1927,f2587]) ).
fof(f3008,plain,
( ~ sQ318_spl
| ~ sQ361_spl
| product2(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f1927,f2567]) ).
fof(f3009,plain,
! [X0] :
( ~ sQ361_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1927,f72]) ).
fof(f3010,plain,
! [X0] :
( ~ sQ361_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1927,f70]) ).
fof(f3011,plain,
! [X0] :
( ~ sQ361_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1927,f68]) ).
fof(f3012,plain,
! [X0] :
( ~ sQ361_spl
| product2(e_2,X0,e_1)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1927,f83]) ).
fof(f3013,plain,
( ~ sQ315_spl
| ~ sQ361_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3007,f188,f1926,f1769]) ).
fof(f3015,plain,
( ~ sQ360_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1924,f84]) ).
fof(f3016,plain,
! [X0] :
( ~ sQ360_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1924,f72]) ).
fof(f3017,plain,
! [X0] :
( ~ sQ360_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1924,f70]) ).
fof(f3018,plain,
! [X0] :
( ~ sQ360_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1924,f68]) ).
fof(f3019,plain,
! [X0] :
( ~ sQ360_spl
| product2(e_1,X0,e_1)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1924,f83]) ).
fof(f3021,plain,
( ~ sQ360_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3015,f54]) ).
fof(f3022,plain,
~ sQ360_spl,
inference(contradiction_clause,[status(thm)],[f3021]) ).
fof(f3023,plain,
! [X0] :
( ~ sQ359_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1920,f72]) ).
fof(f3024,plain,
! [X0] :
( ~ sQ359_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1920,f70]) ).
fof(f3025,plain,
! [X0] :
( ~ sQ359_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1920,f68]) ).
fof(f3026,plain,
! [X0] :
( ~ sQ359_spl
| product2(e_5,X0,e_1)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1920,f83]) ).
fof(f3028,plain,
( ~ sQ358_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1917,f85]) ).
fof(f3029,plain,
! [X0] :
( ~ sQ358_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1917,f72]) ).
fof(f3030,plain,
! [X0] :
( ~ sQ358_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1917,f70]) ).
fof(f3031,plain,
! [X0] :
( ~ sQ358_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1917,f68]) ).
fof(f3032,plain,
! [X0] :
( ~ sQ358_spl
| product2(e_4,X0,e_1)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1917,f83]) ).
fof(f3034,plain,
( ~ sQ358_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3028,f48]) ).
fof(f3035,plain,
~ sQ358_spl,
inference(contradiction_clause,[status(thm)],[f3034]) ).
fof(f3036,plain,
! [X0] :
( ~ sQ357_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1914,f72]) ).
fof(f3037,plain,
! [X0] :
( ~ sQ357_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1914,f70]) ).
fof(f3038,plain,
! [X0] :
( ~ sQ357_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1914,f68]) ).
fof(f3039,plain,
! [X0] :
( ~ sQ357_spl
| product2(e_3,X0,e_1)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1914,f83]) ).
fof(f3040,plain,
( ~ sQ290_spl
| ~ sQ356_spl
| product2(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f1911,f2413]) ).
fof(f3041,plain,
! [X0] :
( ~ sQ356_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1911,f72]) ).
fof(f3042,plain,
! [X0] :
( ~ sQ356_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1911,f70]) ).
fof(f3043,plain,
! [X0] :
( ~ sQ356_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1911,f68]) ).
fof(f3044,plain,
! [X0] :
( ~ sQ356_spl
| product2(e_2,X0,e_1)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1911,f83]) ).
fof(f3045,plain,
( ~ sQ290_spl
| ~ sQ356_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f3040,f191,f1910,f1684]) ).
fof(f3046,plain,
( ~ sQ315_spl
| ~ sQ348_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f2959,f373,f1879,f1769]) ).
fof(f3047,plain,
( ~ sQ303_spl
| ~ sQ364_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f2989,f140,f1935,f1730]) ).
fof(f3048,plain,
( ~ sQ318_spl
| ~ sQ361_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f3008,f140,f1926,f1778]) ).
fof(f3049,plain,
( ~ sQ355_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1908,f84]) ).
fof(f3050,plain,
! [X0] :
( ~ sQ355_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1908,f72]) ).
fof(f3051,plain,
! [X0] :
( ~ sQ355_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1908,f70]) ).
fof(f3052,plain,
! [X0] :
( ~ sQ355_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1908,f68]) ).
fof(f3053,plain,
! [X0] :
( ~ sQ355_spl
| product2(e_1,X0,e_1)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1908,f83]) ).
fof(f3054,plain,
( ~ sQ355_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3049,f58]) ).
fof(f3055,plain,
~ sQ355_spl,
inference(contradiction_clause,[status(thm)],[f3054]) ).
fof(f3057,plain,
( ~ sQ354_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1904,f85]) ).
fof(f3058,plain,
! [X0] :
( ~ sQ354_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1904,f72]) ).
fof(f3059,plain,
! [X0] :
( ~ sQ354_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f1904,f70]) ).
fof(f3060,plain,
! [X0] :
( ~ sQ354_spl
| equalish(X0,e_5)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1904,f68]) ).
fof(f3061,plain,
! [X0] :
( ~ sQ354_spl
| product2(e_5,X0,e_1)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1904,f83]) ).
fof(f3063,plain,
( ~ sQ354_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3057,f49]) ).
fof(f3064,plain,
~ sQ354_spl,
inference(contradiction_clause,[status(thm)],[f3063]) ).
fof(f3065,plain,
! [X0] :
( ~ sQ353_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1901,f72]) ).
fof(f3066,plain,
! [X0] :
( ~ sQ353_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1901,f70]) ).
fof(f3067,plain,
! [X0] :
( ~ sQ353_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1901,f68]) ).
fof(f3068,plain,
! [X0] :
( ~ sQ353_spl
| product2(e_4,X0,e_1)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1901,f83]) ).
fof(f3069,plain,
! [X0] :
( ~ sQ352_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1898,f72]) ).
fof(f3070,plain,
! [X0] :
( ~ sQ352_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1898,f70]) ).
fof(f3071,plain,
! [X0] :
( ~ sQ352_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1898,f68]) ).
fof(f3072,plain,
! [X0] :
( ~ sQ352_spl
| product2(e_3,X0,e_1)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1898,f83]) ).
fof(f3073,plain,
! [X0] :
( ~ sQ351_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1895,f72]) ).
fof(f3074,plain,
! [X0] :
( ~ sQ351_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1895,f70]) ).
fof(f3075,plain,
! [X0] :
( ~ sQ351_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1895,f68]) ).
fof(f3076,plain,
! [X0] :
( ~ sQ351_spl
| product2(e_2,X0,e_1)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1895,f83]) ).
fof(f3077,plain,
( ~ sQ350_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1892,f84]) ).
fof(f3078,plain,
! [X0] :
( ~ sQ350_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1892,f72]) ).
fof(f3079,plain,
! [X0] :
( ~ sQ350_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1892,f70]) ).
fof(f3080,plain,
! [X0] :
( ~ sQ350_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1892,f68]) ).
fof(f3081,plain,
! [X0] :
( ~ sQ350_spl
| product2(e_1,X0,e_1)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1892,f83]) ).
fof(f3082,plain,
( ~ sQ350_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3077,f62]) ).
fof(f3083,plain,
~ sQ350_spl,
inference(contradiction_clause,[status(thm)],[f3082]) ).
fof(f3084,plain,
( ~ sQ367_spl
| ~ sQ339_spl
| product2(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f2777,f1946]) ).
fof(f3085,plain,
( ~ sQ367_spl
| ~ sQ339_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f3084,f121,f1850,f1945]) ).
fof(f3086,plain,
( ~ sQ367_spl
| ~ sQ338_spl
| product2(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f2781,f1946]) ).
fof(f3087,plain,
( ~ sQ352_spl
| ~ sQ260_spl
| product2(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f2262,f1898]) ).
fof(f3088,plain,
( ~ sQ327_spl
| ~ sQ260_spl
| product2(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f2262,f1813]) ).
fof(f3089,plain,
( ~ sQ352_spl
| ~ sQ260_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f3087,f194,f1583,f1897]) ).
fof(f3090,plain,
( ~ sQ368_spl
| ~ sQ334_spl
| product2(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f2839,f1949]) ).
fof(f3091,plain,
( ~ sQ318_spl
| ~ sQ334_spl
| product2(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f2839,f1779]) ).
fof(f3092,plain,
( ~ sQ368_spl
| ~ sQ334_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f3090,f121,f1834,f1948]) ).
fof(f3093,plain,
( ~ sQ318_spl
| ~ sQ334_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f3091,f357,f1834,f1778]) ).
fof(f3094,plain,
( ~ sQ368_spl
| ~ sQ332_spl
| product2(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f2852,f1949]) ).
fof(f3095,plain,
( ~ sQ368_spl
| ~ sQ332_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f3094,f153,f1828,f1948]) ).
fof(f3108,plain,
( ~ sQ369_spl
| ~ sQ327_spl
| product2(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f2888,f1952]) ).
fof(f3109,plain,
( ~ sQ369_spl
| ~ sQ327_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f3108,f153,f1812,f1951]) ).
fof(f3110,plain,
( ~ sQ367_spl
| ~ sQ338_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f3086,f137,f1847,f1945]) ).
fof(f3111,plain,
( ~ sQ353_spl
| ~ sQ255_spl
| product2(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f2290,f1901]) ).
fof(f3112,plain,
( ~ sQ353_spl
| ~ sQ255_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f3111,f194,f1567,f1900]) ).
fof(f3116,plain,
( ~ sQ27_spl
| ~ sQ285_spl
| ~ sQ324_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f2810,f234]) ).
fof(f3118,plain,
( ~ sQ27_spl
| ~ sQ285_spl
| ~ sQ324_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3116,f52]) ).
fof(f3119,plain,
( ~ sQ27_spl
| ~ sQ285_spl
| ~ sQ324_spl ),
inference(contradiction_clause,[status(thm)],[f3118]) ).
fof(f3120,plain,
( ~ sQ347_spl
| ~ sQ363_spl
| product2(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f2997,f1877]) ).
fof(f3146,plain,
( ~ sQ75_spl
| ~ sQ285_spl
| ~ sQ324_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2811,f440]) ).
fof(f3147,plain,
( ~ sQ75_spl
| ~ sQ285_spl
| ~ sQ324_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3146,f47]) ).
fof(f3148,plain,
( ~ sQ75_spl
| ~ sQ285_spl
| ~ sQ324_spl ),
inference(contradiction_clause,[status(thm)],[f3147]) ).
fof(f3165,plain,
( ~ sQ285_spl
| ~ sQ324_spl
| ~ sQ76_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f443,f2811]) ).
fof(f3169,plain,
( ~ sQ285_spl
| ~ sQ324_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3165,f51]) ).
fof(f3170,plain,
( ~ sQ285_spl
| ~ sQ324_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f3169]) ).
fof(f3171,plain,
( ~ sQ357_spl
| ~ sQ285_spl
| product2(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f2441,f1914]) ).
fof(f3172,plain,
( ~ sQ357_spl
| ~ sQ285_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f3171,f191,f1668,f1913]) ).
fof(f3185,plain,
( ~ sQ351_spl
| ~ sQ324_spl
| product2(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f1798,f3076]) ).
fof(f3190,plain,
( ~ sQ351_spl
| ~ sQ324_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f3185,f402,f1797,f1894]) ).
fof(f3195,plain,
( ~ sQ315_spl
| ~ sQ261_spl
| product2(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f1587,f2587]) ).
fof(f3200,plain,
( ~ sQ347_spl
| ~ sQ315_spl
| product2(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1770,f2729]) ).
fof(f3205,plain,
( ~ sQ347_spl
| ~ sQ315_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f3200,f389,f1769,f1876]) ).
fof(f3210,plain,
( ~ sQ300_spl
| ~ sQ273_spl
| product2(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f2162,f1722]) ).
fof(f3211,plain,
( ~ sQ325_spl
| ~ sQ273_spl
| product2(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f2162,f1807]) ).
fof(f3212,plain,
( ~ sQ300_spl
| ~ sQ273_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f3210,f382,f1624,f1721]) ).
fof(f3213,plain,
( ~ sQ325_spl
| ~ sQ273_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f3211,f255,f1624,f1806]) ).
fof(f3214,plain,
( ~ sQ315_spl
| ~ sQ348_spl
| product2(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f2725,f1770]) ).
fof(f3215,plain,
( ~ sQ363_spl
| ~ sQ306_spl
| product2(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f2641,f1933]) ).
fof(f3216,plain,
( ~ sQ338_spl
| ~ sQ306_spl
| product2(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f2641,f1848]) ).
fof(f3217,plain,
( ~ sQ363_spl
| ~ sQ306_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f3215,f172,f1740,f1932]) ).
fof(f3218,plain,
( ~ sQ338_spl
| ~ sQ306_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f3216,f281,f1740,f1847]) ).
fof(f3241,plain,
( ~ sQ359_spl
| ~ sQ348_spl
| product2(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f1880,f3026]) ).
fof(f3246,plain,
( ~ sQ359_spl
| ~ sQ323_spl
| product2(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f1795,f3026]) ).
fof(f3259,plain,
( ~ sQ315_spl
| ~ sQ286_spl
| product2(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1672,f2587]) ).
fof(f3264,plain,
( ~ sQ315_spl
| ~ sQ286_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f3259,f509,f1671,f1769]) ).
fof(f3265,plain,
! [X0] :
( ~ sQ359_spl
| ~ sQ348_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f3241,f80]) ).
fof(f3266,plain,
! [X0] :
( ~ sQ359_spl
| ~ sQ348_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f3241,f78]) ).
fof(f3267,plain,
! [X0] :
( ~ sQ359_spl
| ~ sQ348_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f3241,f76]) ).
fof(f3274,plain,
( ~ sQ325_spl
| ~ sQ271_spl
| product2(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f2170,f1807]) ).
fof(f3275,plain,
( ~ sQ325_spl
| ~ sQ271_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f3274,f287,f1618,f1806]) ).
fof(f3311,plain,
( ~ sQ348_spl
| ~ sQ265_spl
| product2(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1600,f2725]) ).
fof(f3327,plain,
( ~ sQ257_spl
| ~ sQ285_spl
| product2(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f2441,f1574]) ).
fof(f3328,plain,
( ~ sQ257_spl
| ~ sQ285_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f3327,f629,f1668,f1573]) ).
fof(f3329,plain,
( ~ sQ92_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2241,f50]) ).
fof(f3330,plain,
( ~ sQ92_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f3329]) ).
fof(f3331,plain,
( ~ sQ315_spl
| ~ sQ261_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f3195,f626,f1586,f1769]) ).
fof(f3332,plain,
( ~ sQ315_spl
| ~ sQ349_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f2956,f357,f1882,f1769]) ).
fof(f3333,plain,
! [X0] :
( ~ sQ359_spl
| ~ sQ323_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3246,f80]) ).
fof(f3334,plain,
! [X0] :
( ~ sQ359_spl
| ~ sQ323_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f3246,f78]) ).
fof(f3335,plain,
! [X0] :
( ~ sQ359_spl
| ~ sQ323_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f3246,f76]) ).
fof(f3361,plain,
( ~ sQ368_spl
| ~ sQ271_spl
| product2(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f1619,f2935]) ).
fof(f3371,plain,
( ~ sQ315_spl
| ~ sQ286_spl
| product2(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1672,f2587]) ).
fof(f3388,plain,
( ~ sQ359_spl
| ~ sQ323_spl
| ~ sQ75_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f440,f3334]) ).
fof(f3392,plain,
( ~ sQ359_spl
| ~ sQ323_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3388,f60]) ).
fof(f3393,plain,
( ~ sQ359_spl
| ~ sQ323_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f3392]) ).
fof(f3394,plain,
( ~ sQ261_spl
| ~ sQ327_spl
| product2(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f1813,f2231]) ).
fof(f3399,plain,
( ~ sQ261_spl
| ~ sQ327_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f3394,f287,f1812,f1586]) ).
fof(f3400,plain,
( ~ sQ255_spl
| ~ sQ296_spl
| product2(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f2349,f1568]) ).
fof(f3401,plain,
( ~ sQ255_spl
| ~ sQ296_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f3400,f613,f1703,f1567]) ).
fof(f3414,plain,
( ~ sQ296_spl
| ~ sQ305_spl
| product2(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1738,f2349]) ).
fof(f3451,plain,
( ~ sQ334_spl
| ~ sQ276_spl
| product2(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f2502,f1835]) ).
fof(f3452,plain,
( ~ sQ334_spl
| ~ sQ276_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f3451,f284,f1639,f1834]) ).
fof(f3453,plain,
! [X0] :
( ~ sQ261_spl
| ~ sQ277_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f2491,f80]) ).
fof(f3454,plain,
! [X0] :
( ~ sQ261_spl
| ~ sQ277_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2491,f78]) ).
fof(f3455,plain,
! [X0] :
( ~ sQ261_spl
| ~ sQ277_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f2491,f76]) ).
fof(f3458,plain,
( ~ sQ261_spl
| ~ sQ277_spl
| ~ sQ19_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f179,f3454]) ).
fof(f3462,plain,
( ~ sQ261_spl
| ~ sQ277_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3458,f48]) ).
fof(f3463,plain,
( ~ sQ261_spl
| ~ sQ277_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f3462]) ).
fof(f3485,plain,
( ~ sQ305_spl
| ~ sQ363_spl
| product2(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f1933,f2650]) ).
fof(f3490,plain,
( ~ sQ305_spl
| ~ sQ363_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3485,f188,f1932,f1737]) ).
fof(f3491,plain,
( ~ sQ339_spl
| ~ sQ303_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f2955,f249,f1730,f1850]) ).
fof(f3509,plain,
( ~ sQ261_spl
| ~ sQ352_spl
| product2(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f1898,f2231]) ).
fof(f3514,plain,
( ~ sQ261_spl
| ~ sQ352_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f3509,f178,f1897,f1586]) ).
fof(f3518,plain,
! [X0] :
( ~ sQ348_spl
| ~ sQ265_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f3311,f80]) ).
fof(f3519,plain,
! [X0] :
( ~ sQ348_spl
| ~ sQ265_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f3311,f78]) ).
fof(f3520,plain,
! [X0] :
( ~ sQ348_spl
| ~ sQ265_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f3311,f76]) ).
fof(f3522,plain,
( ~ sQ325_spl
| ~ sQ273_spl
| product2(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f2162,f1807]) ).
fof(f3523,plain,
( ~ sQ292_spl
| ~ sQ338_spl
| product2(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f2781,f1691]) ).
fof(f3524,plain,
( ~ sQ292_spl
| ~ sQ338_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f3523,f458,f1847,f1690]) ).
fof(f3567,plain,
( ~ sQ357_spl
| ~ sQ286_spl
| product2(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f2437,f1914]) ).
fof(f3568,plain,
( ~ sQ357_spl
| ~ sQ286_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f3567,f175,f1671,f1913]) ).
fof(f3569,plain,
( ~ sQ273_spl
| ~ sQ357_spl
| product2(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f3039,f1625]) ).
fof(f3570,plain,
( ~ sQ273_spl
| ~ sQ357_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f3569,f588,f1913,f1624]) ).
fof(f3572,plain,
( ~ sQ368_spl
| ~ sQ330_spl
| product2(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f2866,f1949]) ).
fof(f3573,plain,
( ~ sQ368_spl
| ~ sQ330_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f3572,f185,f1822,f1948]) ).
fof(f3574,plain,
( ~ sQ118_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2390,f50]) ).
fof(f3575,plain,
( ~ sQ118_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f3574]) ).
fof(f3576,plain,
( ~ sQ14_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1972,f55]) ).
fof(f3577,plain,
( ~ sQ14_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f3576]) ).
fof(f3600,plain,
( ~ sQ261_spl
| ~ sQ352_spl
| product2(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f1898,f2231]) ).
fof(f3625,plain,
( ~ sQ324_spl
| ~ sQ352_spl
| product2(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f3072,f1798]) ).
fof(f3626,plain,
( ~ sQ324_spl
| ~ sQ352_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f3625,f386,f1897,f1797]) ).
fof(f3627,plain,
( ~ sQ255_spl
| ~ sQ297_spl
| product2(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f2345,f1568]) ).
fof(f3628,plain,
! [X0] :
( ~ sQ255_spl
| ~ sQ297_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f3627,f80]) ).
fof(f3629,plain,
! [X0] :
( ~ sQ255_spl
| ~ sQ297_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f3627,f78]) ).
fof(f3630,plain,
! [X0] :
( ~ sQ255_spl
| ~ sQ297_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f3627,f76]) ).
fof(f3633,plain,
( ~ sQ38_spl
| ~ sQ255_spl
| ~ sQ297_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f3629,f269]) ).
fof(f3634,plain,
( ~ sQ38_spl
| ~ sQ255_spl
| ~ sQ297_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3633,f53]) ).
fof(f3635,plain,
( ~ sQ38_spl
| ~ sQ255_spl
| ~ sQ297_spl ),
inference(contradiction_clause,[status(thm)],[f3634]) ).
fof(f3636,plain,
( ~ sQ30_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2095,f60]) ).
fof(f3637,plain,
( ~ sQ30_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f3636]) ).
fof(f3654,plain,
( ~ sQ255_spl
| ~ sQ303_spl
| product2(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f1731,f2290]) ).
fof(f3669,plain,
( ~ sQ290_spl
| ~ sQ306_spl
| product2(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f1741,f2413]) ).
fof(f3674,plain,
( ~ sQ357_spl
| ~ sQ323_spl
| product2(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f1795,f3039]) ).
fof(f3679,plain,
( ~ sQ357_spl
| ~ sQ323_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f3674,f386,f1794,f1913]) ).
fof(f3710,plain,
( ~ sQ323_spl
| ~ sQ260_spl
| product2(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f1584,f2517]) ).
fof(f3715,plain,
( ~ sQ323_spl
| ~ sQ260_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f3710,f578,f1583,f1794]) ).
fof(f3716,plain,
( ~ sQ318_spl
| ~ sQ361_spl
| product2(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f1927,f2567]) ).
fof(f3742,plain,
! [X0] :
( ~ sQ325_spl
| ~ sQ273_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3522,f80]) ).
fof(f3743,plain,
! [X0] :
( ~ sQ325_spl
| ~ sQ273_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f3522,f78]) ).
fof(f3744,plain,
! [X0] :
( ~ sQ325_spl
| ~ sQ273_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f3522,f76]) ).
fof(f3782,plain,
( ~ sQ318_spl
| ~ sQ261_spl
| product2(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f1587,f2567]) ).
fof(f3787,plain,
( ~ sQ318_spl
| ~ sQ261_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f3782,f578,f1586,f1778]) ).
fof(f3800,plain,
( ~ sQ99_spl
| ~ sQ261_spl
| ~ sQ277_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f3453,f516]) ).
fof(f3801,plain,
( ~ sQ99_spl
| ~ sQ261_spl
| ~ sQ277_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3800,f46]) ).
fof(f3802,plain,
( ~ sQ99_spl
| ~ sQ261_spl
| ~ sQ277_spl ),
inference(contradiction_clause,[status(thm)],[f3801]) ).
fof(f3803,plain,
( ~ sQ96_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2381,f47]) ).
fof(f3804,plain,
( ~ sQ96_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f3803]) ).
fof(f3808,plain,
( ~ sQ318_spl
| ~ sQ330_spl
| product2(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f2866,f1779]) ).
fof(f3812,plain,
( ~ sQ261_spl
| ~ sQ277_spl
| ~ sQ90_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f488,f3455]) ).
fof(f3816,plain,
( ~ sQ261_spl
| ~ sQ277_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3812,f49]) ).
fof(f3817,plain,
( ~ sQ261_spl
| ~ sQ277_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f3816]) ).
fof(f3827,plain,
( ~ sQ318_spl
| ~ sQ286_spl
| product2(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f1672,f2567]) ).
fof(f3832,plain,
( ~ sQ318_spl
| ~ sQ286_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f3827,f461,f1671,f1778]) ).
fof(f3833,plain,
( ~ sQ361_spl
| ~ sQ297_spl
| product2(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1707,f3012]) ).
fof(f3862,plain,
( ~ sQ324_spl
| ~ sQ351_spl
| product2(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f3076,f1798]) ).
fof(f3920,plain,
( ~ sQ111_spl
| ~ sQ348_spl
| ~ sQ265_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f3518,f592]) ).
fof(f3922,plain,
( ~ sQ111_spl
| ~ sQ348_spl
| ~ sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3920,f56]) ).
fof(f3923,plain,
( ~ sQ111_spl
| ~ sQ348_spl
| ~ sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f3922]) ).
fof(f3924,plain,
( ~ sQ361_spl
| ~ sQ297_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f3833,f487,f1706,f1926]) ).
fof(f3939,plain,
( ~ sQ107_spl
| ~ sQ7_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f529,f579]) ).
fof(f3941,plain,
( ~ sQ107_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3939,f62]) ).
fof(f3942,plain,
( ~ sQ107_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f3941]) ).
fof(f3946,plain,
( ~ sQ115_spl
| ~ sQ65_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1124,f605]) ).
fof(f3948,plain,
( ~ sQ115_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3946,f64]) ).
fof(f3949,plain,
( ~ sQ115_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f3948]) ).
fof(f3950,plain,
( ~ sQ351_spl
| ~ sQ349_spl
| product2(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f1883,f3076]) ).
fof(f3955,plain,
( ~ sQ351_spl
| ~ sQ349_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f3950,f275,f1882,f1894]) ).
fof(f4025,plain,
( ~ sQ285_spl
| ~ sQ324_spl
| ~ sQ2_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f125,f2810]) ).
fof(f4029,plain,
( ~ sQ285_spl
| ~ sQ324_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4025,f48]) ).
fof(f4030,plain,
( ~ sQ285_spl
| ~ sQ324_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f4029]) ).
fof(f4039,plain,
( ~ sQ107_spl
| ~ sQ348_spl
| ~ sQ265_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f3520,f579]) ).
fof(f4040,plain,
( ~ sQ107_spl
| ~ sQ348_spl
| ~ sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4039,f55]) ).
fof(f4041,plain,
( ~ sQ107_spl
| ~ sQ348_spl
| ~ sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f4040]) ).
fof(f4042,plain,
( ~ sQ300_spl
| ~ sQ273_spl
| product2(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f2162,f1722]) ).
fof(f4059,plain,
( ~ sQ65_spl
| ~ sQ90_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f488,f1124]) ).
fof(f4063,plain,
( ~ sQ65_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4059,f60]) ).
fof(f4064,plain,
( ~ sQ65_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f4063]) ).
fof(f4068,plain,
( ~ sQ285_spl
| ~ sQ257_spl
| product2(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f1574,f2441]) ).
fof(f4093,plain,
( ~ sQ356_spl
| ~ sQ351_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f3073,f1911]) ).
fof(f4095,plain,
( ~ sQ356_spl
| ~ sQ351_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4093,f61]) ).
fof(f4096,plain,
( ~ sQ356_spl
| ~ sQ351_spl ),
inference(contradiction_clause,[status(thm)],[f4095]) ).
fof(f4109,plain,
! [X0] :
( ~ sQ315_spl
| ~ sQ286_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f3371,f80]) ).
fof(f4110,plain,
! [X0] :
( ~ sQ315_spl
| ~ sQ286_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f3371,f78]) ).
fof(f4111,plain,
! [X0] :
( ~ sQ315_spl
| ~ sQ286_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f3371,f76]) ).
fof(f4112,plain,
! [X0] :
( ~ sQ315_spl
| ~ sQ348_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f3214,f80]) ).
fof(f4113,plain,
! [X0] :
( ~ sQ315_spl
| ~ sQ348_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f3214,f78]) ).
fof(f4114,plain,
! [X0] :
( ~ sQ315_spl
| ~ sQ348_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f3214,f76]) ).
fof(f4115,plain,
! [X0] :
( ~ sQ255_spl
| ~ sQ303_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f3654,f80]) ).
fof(f4116,plain,
! [X0] :
( ~ sQ255_spl
| ~ sQ303_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f3654,f78]) ).
fof(f4117,plain,
! [X0] :
( ~ sQ255_spl
| ~ sQ303_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f3654,f76]) ).
fof(f4119,plain,
( ~ sQ261_spl
| ~ sQ315_spl
| product2(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f2587,f1587]) ).
fof(f4164,plain,
( ~ sQ348_spl
| ~ sQ357_spl
| product2(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f3039,f1880]) ).
fof(f4165,plain,
( ~ sQ273_spl
| ~ sQ357_spl
| product2(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f3039,f1625]) ).
fof(f4166,plain,
( ~ sQ348_spl
| ~ sQ357_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f4164,f259,f1913,f1879]) ).
fof(f4167,plain,
( ~ sQ357_spl
| ~ sQ286_spl
| product2(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f2437,f1914]) ).
fof(f4168,plain,
( ~ sQ338_spl
| ~ sQ305_spl
| product2(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f2650,f1848]) ).
fof(f4169,plain,
( ~ sQ334_spl
| ~ sQ277_spl
| product2(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f2496,f1835]) ).
fof(f4170,plain,
! [X0] :
( ~ sQ334_spl
| ~ sQ277_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f4169,f80]) ).
fof(f4171,plain,
! [X0] :
( ~ sQ334_spl
| ~ sQ277_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f4169,f78]) ).
fof(f4172,plain,
! [X0] :
( ~ sQ334_spl
| ~ sQ277_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f4169,f76]) ).
fof(f4184,plain,
( ~ sQ286_spl
| ~ sQ261_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f2229,f1672]) ).
fof(f4186,plain,
( ~ sQ286_spl
| ~ sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4184,f61]) ).
fof(f4187,plain,
( ~ sQ286_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f4186]) ).
fof(f4192,plain,
( ~ sQ303_spl
| ~ sQ364_spl
| product2(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f1936,f2694]) ).
fof(f4209,plain,
! [X0] :
( ~ sQ261_spl
| ~ sQ352_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3600,f80]) ).
fof(f4210,plain,
! [X0] :
( ~ sQ261_spl
| ~ sQ352_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f3600,f78]) ).
fof(f4211,plain,
! [X0] :
( ~ sQ261_spl
| ~ sQ352_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f3600,f76]) ).
fof(f4212,plain,
( ~ sQ268_spl
| ~ sQ334_spl
| product2(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f2839,f1609]) ).
fof(f4213,plain,
( ~ sQ268_spl
| ~ sQ334_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f4212,f559,f1834,f1608]) ).
fof(f4219,plain,
( ~ sQ315_spl
| ~ sQ348_spl
| ~ sQ265_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f3519,f3214]) ).
fof(f4220,plain,
( ~ sQ315_spl
| ~ sQ348_spl
| ~ sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4219,f57]) ).
fof(f4221,plain,
( ~ sQ315_spl
| ~ sQ348_spl
| ~ sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f4220]) ).
fof(f4285,plain,
( ~ sQ110_spl
| ~ sQ255_spl
| ~ sQ297_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f3630,f589]) ).
fof(f4286,plain,
( ~ sQ110_spl
| ~ sQ255_spl
| ~ sQ297_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4285,f48]) ).
fof(f4287,plain,
( ~ sQ110_spl
| ~ sQ255_spl
| ~ sQ297_spl ),
inference(contradiction_clause,[status(thm)],[f4286]) ).
fof(f4289,plain,
( ~ sQ118_spl
| ~ sQ255_spl
| ~ sQ297_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f3628,f614]) ).
fof(f4290,plain,
( ~ sQ118_spl
| ~ sQ255_spl
| ~ sQ297_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4289,f51]) ).
fof(f4291,plain,
( ~ sQ118_spl
| ~ sQ255_spl
| ~ sQ297_spl ),
inference(contradiction_clause,[status(thm)],[f4290]) ).
fof(f4292,plain,
( ~ sQ356_spl
| ~ sQ294_spl
| product2(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f2362,f1911]) ).
fof(f4293,plain,
( ~ sQ306_spl
| ~ sQ294_spl
| product2(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f2362,f1741]) ).
fof(f4303,plain,
( ~ sQ255_spl
| ~ sQ297_spl
| ~ sQ111_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f592,f3630]) ).
fof(f4307,plain,
( ~ sQ255_spl
| ~ sQ297_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4303,f52]) ).
fof(f4308,plain,
( ~ sQ255_spl
| ~ sQ297_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f4307]) ).
fof(f4316,plain,
( ~ sQ364_spl
| ~ sQ297_spl
| product2(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f1707,f2993]) ).
fof(f4321,plain,
( ~ sQ364_spl
| ~ sQ297_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f4316,f439,f1706,f1935]) ).
fof(f4334,plain,
( ~ sQ364_spl
| ~ sQ272_spl
| product2(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f1622,f2993]) ).
fof(f4339,plain,
( ~ sQ364_spl
| ~ sQ272_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f4334,f556,f1621,f1935]) ).
fof(f4349,plain,
! [X0] :
( ~ sQ356_spl
| ~ sQ294_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f4292,f80]) ).
fof(f4350,plain,
! [X0] :
( ~ sQ356_spl
| ~ sQ294_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f4292,f78]) ).
fof(f4351,plain,
! [X0] :
( ~ sQ356_spl
| ~ sQ294_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f4292,f76]) ).
fof(f4352,plain,
! [X0] :
( ~ sQ306_spl
| ~ sQ294_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f4293,f80]) ).
fof(f4353,plain,
! [X0] :
( ~ sQ306_spl
| ~ sQ294_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f4293,f78]) ).
fof(f4354,plain,
! [X0] :
( ~ sQ306_spl
| ~ sQ294_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f4293,f76]) ).
fof(f4355,plain,
! [X0] :
( ~ sQ285_spl
| ~ sQ257_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f4068,f80]) ).
fof(f4356,plain,
! [X0] :
( ~ sQ285_spl
| ~ sQ257_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f4068,f78]) ).
fof(f4357,plain,
! [X0] :
( ~ sQ285_spl
| ~ sQ257_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f4068,f76]) ).
fof(f4360,plain,
( ~ sQ306_spl
| ~ sQ294_spl
| ~ sQ356_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f4350,f4293]) ).
fof(f4361,plain,
( ~ sQ306_spl
| ~ sQ294_spl
| ~ sQ356_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4360,f54]) ).
fof(f4362,plain,
( ~ sQ306_spl
| ~ sQ294_spl
| ~ sQ356_spl ),
inference(contradiction_clause,[status(thm)],[f4361]) ).
fof(f4378,plain,
( ~ sQ261_spl
| ~ sQ271_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1619,f2228]) ).
fof(f4379,plain,
! [X0] :
( ~ sQ271_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1619,f72]) ).
fof(f4380,plain,
! [X0] :
( ~ sQ271_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1619,f70]) ).
fof(f4381,plain,
! [X0] :
( ~ sQ271_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1619,f68]) ).
fof(f4382,plain,
! [X0] :
( ~ sQ271_spl
| product2(e_2,X0,e_5)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1619,f83]) ).
fof(f4383,plain,
( ~ sQ261_spl
| ~ sQ271_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4378,f47]) ).
fof(f4384,plain,
( ~ sQ261_spl
| ~ sQ271_spl ),
inference(contradiction_clause,[status(thm)],[f4383]) ).
fof(f4389,plain,
( ~ sQ261_spl
| ~ sQ256_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1571,f2228]) ).
fof(f4390,plain,
! [X0] :
( ~ sQ256_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1571,f72]) ).
fof(f4391,plain,
! [X0] :
( ~ sQ256_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1571,f70]) ).
fof(f4392,plain,
! [X0] :
( ~ sQ256_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1571,f68]) ).
fof(f4393,plain,
! [X0] :
( ~ sQ256_spl
| product2(e_2,X0,e_5)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1571,f83]) ).
fof(f4394,plain,
( ~ sQ261_spl
| ~ sQ256_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4389,f60]) ).
fof(f4395,plain,
( ~ sQ261_spl
| ~ sQ256_spl ),
inference(contradiction_clause,[status(thm)],[f4394]) ).
fof(f4416,plain,
! [X0] :
( ~ sQ290_spl
| ~ sQ306_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3669,f80]) ).
fof(f4417,plain,
! [X0] :
( ~ sQ290_spl
| ~ sQ306_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f3669,f78]) ).
fof(f4418,plain,
! [X0] :
( ~ sQ290_spl
| ~ sQ306_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f3669,f76]) ).
fof(f4419,plain,
! [X0] :
( ~ sQ324_spl
| ~ sQ351_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3862,f80]) ).
fof(f4420,plain,
! [X0] :
( ~ sQ324_spl
| ~ sQ351_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f3862,f78]) ).
fof(f4421,plain,
! [X0] :
( ~ sQ324_spl
| ~ sQ351_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f3862,f76]) ).
fof(f4422,plain,
! [X0] :
( ~ sQ347_spl
| ~ sQ363_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f3120,f80]) ).
fof(f4423,plain,
! [X0] :
( ~ sQ347_spl
| ~ sQ363_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f3120,f78]) ).
fof(f4424,plain,
! [X0] :
( ~ sQ347_spl
| ~ sQ363_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f3120,f76]) ).
fof(f4426,plain,
( ~ sQ92_spl
| ~ sQ261_spl
| ~ sQ277_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f3455,f494]) ).
fof(f4427,plain,
( ~ sQ92_spl
| ~ sQ261_spl
| ~ sQ277_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4426,f57]) ).
fof(f4428,plain,
( ~ sQ92_spl
| ~ sQ261_spl
| ~ sQ277_spl ),
inference(contradiction_clause,[status(thm)],[f4427]) ).
fof(f4476,plain,
( ~ sQ32_spl
| ~ sQ347_spl
| ~ sQ363_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f4424,f250]) ).
fof(f4478,plain,
( ~ sQ32_spl
| ~ sQ347_spl
| ~ sQ363_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4476,f54]) ).
fof(f4479,plain,
( ~ sQ32_spl
| ~ sQ347_spl
| ~ sQ363_spl ),
inference(contradiction_clause,[status(thm)],[f4478]) ).
fof(f4480,plain,
( ~ sQ306_spl
| ~ sQ294_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f4293,f363,f1696,f1740]) ).
fof(f4481,plain,
( ~ sQ318_spl
| ~ sQ330_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f3808,f421,f1822,f1778]) ).
fof(f4485,plain,
! [X0] :
( ~ sQ261_spl
| ~ sQ315_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f4119,f80]) ).
fof(f4486,plain,
! [X0] :
( ~ sQ261_spl
| ~ sQ315_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f4119,f78]) ).
fof(f4487,plain,
! [X0] :
( ~ sQ261_spl
| ~ sQ315_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f4119,f76]) ).
fof(f4488,plain,
( ~ sQ289_spl
| ~ sQ300_spl
| product2(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f2716,f1681]) ).
fof(f4489,plain,
( ~ sQ289_spl
| ~ sQ300_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f4488,f509,f1721,f1680]) ).
fof(f4549,plain,
( ~ sQ335_spl
| ~ sQ324_spl
| product2(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f2513,f1839]) ).
fof(f4582,plain,
( ~ sQ17_spl
| ~ sQ92_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1223,f173]) ).
fof(f4584,plain,
( ~ sQ17_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4582,f48]) ).
fof(f4585,plain,
( ~ sQ17_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f4584]) ).
fof(f4587,plain,
( ~ sQ294_spl
| ~ sQ325_spl
| product2(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f2899,f1697]) ).
fof(f4588,plain,
( ~ sQ357_spl
| ~ sQ289_spl
| product2(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f2417,f1914]) ).
fof(f4589,plain,
! [X0] :
( ~ sQ357_spl
| ~ sQ289_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f4588,f80]) ).
fof(f4590,plain,
! [X0] :
( ~ sQ357_spl
| ~ sQ289_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f4588,f78]) ).
fof(f4591,plain,
! [X0] :
( ~ sQ357_spl
| ~ sQ289_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f4588,f76]) ).
fof(f4594,plain,
( ~ sQ315_spl
| ~ sQ348_spl
| ~ sQ51_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f358,f4112]) ).
fof(f4598,plain,
( ~ sQ315_spl
| ~ sQ348_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4594,f65]) ).
fof(f4599,plain,
( ~ sQ315_spl
| ~ sQ348_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f4598]) ).
fof(f4639,plain,
( ~ sQ357_spl
| ~ sQ367_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2936,f1914]) ).
fof(f4641,plain,
( ~ sQ357_spl
| ~ sQ367_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4639,f59]) ).
fof(f4642,plain,
( ~ sQ357_spl
| ~ sQ367_spl ),
inference(contradiction_clause,[status(thm)],[f4641]) ).
fof(f4715,plain,
( ~ sQ1_spl
| ~ sQ357_spl
| ~ sQ289_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f4591,f122]) ).
fof(f4717,plain,
( ~ sQ1_spl
| ~ sQ357_spl
| ~ sQ289_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4715,f52]) ).
fof(f4718,plain,
( ~ sQ1_spl
| ~ sQ357_spl
| ~ sQ289_spl ),
inference(contradiction_clause,[status(thm)],[f4717]) ).
fof(f4722,plain,
! [X0] :
( ~ sQ335_spl
| ~ sQ324_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f4549,f80]) ).
fof(f4723,plain,
! [X0] :
( ~ sQ335_spl
| ~ sQ324_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f4549,f78]) ).
fof(f4724,plain,
! [X0] :
( ~ sQ335_spl
| ~ sQ324_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f4549,f76]) ).
fof(f4725,plain,
! [X0] :
( ~ sQ294_spl
| ~ sQ325_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f4587,f80]) ).
fof(f4726,plain,
! [X0] :
( ~ sQ294_spl
| ~ sQ325_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f4587,f78]) ).
fof(f4727,plain,
! [X0] :
( ~ sQ294_spl
| ~ sQ325_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f4587,f76]) ).
fof(f4729,plain,
( ~ sQ261_spl
| ~ sQ315_spl
| ~ sQ121_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f624,f4487]) ).
fof(f4733,plain,
( ~ sQ261_spl
| ~ sQ315_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4729,f51]) ).
fof(f4734,plain,
( ~ sQ261_spl
| ~ sQ315_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f4733]) ).
fof(f4741,plain,
( ~ sQ357_spl
| ~ sQ289_spl
| ~ sQ53_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f364,f4590]) ).
fof(f4745,plain,
( ~ sQ357_spl
| ~ sQ289_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4741,f54]) ).
fof(f4746,plain,
( ~ sQ357_spl
| ~ sQ289_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f4745]) ).
fof(f4767,plain,
( ~ sQ357_spl
| ~ sQ348_spl
| product2(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f1880,f3039]) ).
fof(f4772,plain,
( ~ sQ255_spl
| ~ sQ303_spl
| product2(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f1731,f2290]) ).
fof(f4789,plain,
( ~ sQ321_spl
| ~ sQ368_spl
| product2(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f2935,f1789]) ).
fof(f4790,plain,
( ~ sQ335_spl
| ~ sQ321_spl
| product2(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f2550,f1839]) ).
fof(f4791,plain,
( ~ sQ335_spl
| ~ sQ321_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f4790,f281,f1788,f1838]) ).
fof(f4792,plain,
( ~ sQ294_spl
| ~ sQ325_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f4587,f506,f1806,f1696]) ).
fof(f4793,plain,
( ~ sQ357_spl
| ~ sQ289_spl
| ~ sQ2_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f125,f4591]) ).
fof(f4797,plain,
( ~ sQ357_spl
| ~ sQ289_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4793,f56]) ).
fof(f4798,plain,
( ~ sQ357_spl
| ~ sQ289_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f4797]) ).
fof(f4805,plain,
( ~ sQ289_spl
| ~ sQ332_spl
| product2(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f1829,f2417]) ).
fof(f4820,plain,
( ~ sQ261_spl
| ~ sQ315_spl
| ~ sQ97_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f510,f4486]) ).
fof(f4824,plain,
( ~ sQ261_spl
| ~ sQ315_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4820,f61]) ).
fof(f4825,plain,
( ~ sQ261_spl
| ~ sQ315_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f4824]) ).
fof(f4829,plain,
! [X0] :
( ~ sQ321_spl
| ~ sQ368_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f4789,f80]) ).
fof(f4830,plain,
! [X0] :
( ~ sQ321_spl
| ~ sQ368_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f4789,f78]) ).
fof(f4831,plain,
! [X0] :
( ~ sQ321_spl
| ~ sQ368_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f4789,f76]) ).
fof(f4836,plain,
( ~ sQ357_spl
| ~ sQ289_spl
| ~ sQ332_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f4805,f4590]) ).
fof(f4837,plain,
! [X0] :
( ~ sQ289_spl
| ~ sQ332_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f4805,f80]) ).
fof(f4838,plain,
! [X0] :
( ~ sQ289_spl
| ~ sQ332_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f4805,f78]) ).
fof(f4839,plain,
! [X0] :
( ~ sQ289_spl
| ~ sQ332_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f4805,f76]) ).
fof(f4840,plain,
( ~ sQ357_spl
| ~ sQ289_spl
| ~ sQ332_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4836,f50]) ).
fof(f4841,plain,
( ~ sQ357_spl
| ~ sQ289_spl
| ~ sQ332_spl ),
inference(contradiction_clause,[status(thm)],[f4840]) ).
fof(f4861,plain,
( ~ sQ363_spl
| ~ sQ272_spl
| product2(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f1622,f2997]) ).
fof(f4866,plain,
( ~ sQ272_spl
| ~ sQ325_spl
| product2(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f1807,f2166]) ).
fof(f4900,plain,
! [X0] :
( ~ sQ363_spl
| ~ sQ272_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f4861,f80]) ).
fof(f4901,plain,
! [X0] :
( ~ sQ363_spl
| ~ sQ272_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f4861,f78]) ).
fof(f4902,plain,
! [X0] :
( ~ sQ363_spl
| ~ sQ272_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f4861,f76]) ).
fof(f4903,plain,
! [X0] :
( ~ sQ272_spl
| ~ sQ325_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f4866,f80]) ).
fof(f4904,plain,
! [X0] :
( ~ sQ272_spl
| ~ sQ325_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f4866,f78]) ).
fof(f4905,plain,
! [X0] :
( ~ sQ272_spl
| ~ sQ325_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f4866,f76]) ).
fof(f4908,plain,
( ~ sQ272_spl
| ~ sQ325_spl
| ~ sQ334_spl
| ~ sQ277_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f4172,f4866]) ).
fof(f4910,plain,
( ~ sQ272_spl
| ~ sQ325_spl
| ~ sQ334_spl
| ~ sQ277_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4908,f65]) ).
fof(f4911,plain,
( ~ sQ272_spl
| ~ sQ325_spl
| ~ sQ334_spl
| ~ sQ277_spl ),
inference(contradiction_clause,[status(thm)],[f4910]) ).
fof(f4912,plain,
( ~ sQ290_spl
| ~ sQ306_spl
| ~ sQ74_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f431,f4418]) ).
fof(f4916,plain,
( ~ sQ290_spl
| ~ sQ306_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4912,f65]) ).
fof(f4917,plain,
( ~ sQ290_spl
| ~ sQ306_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f4916]) ).
fof(f4953,plain,
( ~ sQ351_spl
| ~ sQ324_spl
| product2(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f1798,f3076]) ).
fof(f4970,plain,
( ~ sQ25_spl
| ~ sQ335_spl
| ~ sQ324_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f4724,f228]) ).
fof(f4971,plain,
( ~ sQ25_spl
| ~ sQ335_spl
| ~ sQ324_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4970,f47]) ).
fof(f4972,plain,
( ~ sQ25_spl
| ~ sQ335_spl
| ~ sQ324_spl ),
inference(contradiction_clause,[status(thm)],[f4971]) ).
fof(f4975,plain,
( ~ sQ351_spl
| ~ sQ265_spl
| product2(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f2207,f1895]) ).
fof(f4976,plain,
( ~ sQ351_spl
| ~ sQ265_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f4975,f194,f1599,f1894]) ).
fof(f4977,plain,
( ~ sQ359_spl
| ~ sQ348_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f3241,f227,f1879,f1919]) ).
fof(f4981,plain,
( ~ sQ335_spl
| ~ sQ324_spl
| ~ sQ32_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f250,f4722]) ).
fof(f4985,plain,
( ~ sQ335_spl
| ~ sQ324_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4981,f61]) ).
fof(f4986,plain,
( ~ sQ335_spl
| ~ sQ324_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f4985]) ).
fof(f4987,plain,
( ~ sQ347_spl
| ~ sQ363_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f3120,f243,f1932,f1876]) ).
fof(f4988,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f364,f80]) ).
fof(f4989,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f364,f78]) ).
fof(f4990,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f364,f76]) ).
fof(f5026,plain,
( ~ sQ351_spl
| ~ sQ299_spl
| product2(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1713,f3076]) ).
fof(f5031,plain,
( ~ sQ351_spl
| ~ sQ299_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f5026,f487,f1712,f1894]) ).
fof(f5032,plain,
( ~ sQ39_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2059,f54]) ).
fof(f5033,plain,
( ~ sQ39_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f5032]) ).
fof(f5034,plain,
( ~ sQ39_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2001,f50]) ).
fof(f5035,plain,
( ~ sQ39_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f5034]) ).
fof(f5055,plain,
( ~ sQ351_spl
| ~ sQ268_spl
| product2(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f2190,f1895]) ).
fof(f5068,plain,
( ~ sQ363_spl
| ~ sQ272_spl
| ~ sQ30_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f244,f4901]) ).
fof(f5069,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f244,f80]) ).
fof(f5070,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f244,f78]) ).
fof(f5071,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f244,f76]) ).
fof(f5072,plain,
( ~ sQ363_spl
| ~ sQ272_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5068,f53]) ).
fof(f5073,plain,
( ~ sQ363_spl
| ~ sQ272_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f5072]) ).
fof(f5104,plain,
( ~ sQ107_spl
| ~ sQ363_spl
| ~ sQ272_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f4902,f579]) ).
fof(f5106,plain,
( ~ sQ107_spl
| ~ sQ363_spl
| ~ sQ272_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5104,f54]) ).
fof(f5107,plain,
( ~ sQ107_spl
| ~ sQ363_spl
| ~ sQ272_spl ),
inference(contradiction_clause,[status(thm)],[f5106]) ).
fof(f5112,plain,
( ~ sQ318_spl
| ~ sQ330_spl
| product2(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f2866,f1779]) ).
fof(f5113,plain,
( ~ sQ268_spl
| ~ sQ330_spl
| product2(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f2866,f1609]) ).
fof(f5123,plain,
( ~ sQ255_spl
| ~ sQ297_spl
| ~ sQ13_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f160,f3629]) ).
fof(f5127,plain,
( ~ sQ255_spl
| ~ sQ297_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5123,f49]) ).
fof(f5128,plain,
( ~ sQ255_spl
| ~ sQ297_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f5127]) ).
fof(f5132,plain,
( ~ sQ261_spl
| ~ sQ277_spl
| product2(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f1643,f2231]) ).
fof(f5167,plain,
! [X0] :
( ~ sQ351_spl
| ~ sQ268_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5055,f80]) ).
fof(f5168,plain,
! [X0] :
( ~ sQ351_spl
| ~ sQ268_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f5055,f78]) ).
fof(f5169,plain,
! [X0] :
( ~ sQ351_spl
| ~ sQ268_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f5055,f76]) ).
fof(f5172,plain,
( ~ sQ14_spl
| ~ sQ351_spl
| ~ sQ268_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f5167,f163]) ).
fof(f5174,plain,
( ~ sQ14_spl
| ~ sQ351_spl
| ~ sQ268_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5172,f56]) ).
fof(f5175,plain,
( ~ sQ14_spl
| ~ sQ351_spl
| ~ sQ268_spl ),
inference(contradiction_clause,[status(thm)],[f5174]) ).
fof(f5199,plain,
( ~ sQ359_spl
| ~ sQ348_spl
| product2(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f1880,f3026]) ).
fof(f5236,plain,
( ~ sQ351_spl
| ~ sQ268_spl
| ~ sQ7_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f141,f5169]) ).
fof(f5237,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f141,f80]) ).
fof(f5238,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f141,f78]) ).
fof(f5239,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f141,f76]) ).
fof(f5240,plain,
( ~ sQ351_spl
| ~ sQ268_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5236,f57]) ).
fof(f5241,plain,
( ~ sQ351_spl
| ~ sQ268_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f5240]) ).
fof(f5242,plain,
( ~ sQ351_spl
| ~ sQ268_spl
| ~ sQ34_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f256,f5168]) ).
fof(f5243,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f256,f80]) ).
fof(f5244,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f256,f78]) ).
fof(f5245,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f256,f76]) ).
fof(f5246,plain,
( ~ sQ351_spl
| ~ sQ268_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5242,f50]) ).
fof(f5247,plain,
( ~ sQ351_spl
| ~ sQ268_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f5246]) ).
fof(f5262,plain,
( ~ sQ359_spl
| ~ sQ273_spl
| product2(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f1625,f3026]) ).
fof(f5267,plain,
( ~ sQ359_spl
| ~ sQ273_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f5262,f556,f1624,f1919]) ).
fof(f5268,plain,
( ~ sQ363_spl
| ~ sQ272_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f4861,f572,f1621,f1932]) ).
fof(f5269,plain,
( sQ28_spl
| ~ sQ289_spl
| ~ sQ332_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f238,f4805]) ).
fof(f5270,plain,
( sQ28_spl
| ~ sQ289_spl
| ~ sQ332_spl ),
inference(contradiction_clause,[status(thm)],[f5269]) ).
fof(f5311,plain,
( ~ sQ309_spl
| ~ sQ363_spl
| product2(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1933,f2619]) ).
fof(f5316,plain,
( ~ sQ309_spl
| ~ sQ363_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f5311,f124,f1932,f1749]) ).
fof(f5345,plain,
( ~ sQ368_spl
| ~ sQ332_spl
| product2(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f2852,f1949]) ).
fof(f5346,plain,
( ~ sQ268_spl
| ~ sQ332_spl
| product2(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f2852,f1609]) ).
fof(f5347,plain,
( ~ sQ268_spl
| ~ sQ332_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f5346,f591,f1828,f1608]) ).
fof(f5348,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f573,f80]) ).
fof(f5349,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f573,f78]) ).
fof(f5350,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f573,f76]) ).
fof(f5398,plain,
( ~ sQ306_spl
| ~ sQ294_spl
| product2(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f2362,f1741]) ).
fof(f5403,plain,
( ~ sQ368_spl
| ~ sQ268_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f2188,f1949]) ).
fof(f5405,plain,
( ~ sQ368_spl
| ~ sQ268_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5403,f49]) ).
fof(f5406,plain,
( ~ sQ368_spl
| ~ sQ268_spl ),
inference(contradiction_clause,[status(thm)],[f5405]) ).
fof(f5423,plain,
( ~ sQ255_spl
| ~ sQ328_spl
| product2(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f1816,f2290]) ).
fof(f5454,plain,
( ~ sQ300_spl
| ~ sQ315_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2584,f1722]) ).
fof(f5455,plain,
( ~ sQ300_spl
| ~ sQ315_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5454,f63]) ).
fof(f5456,plain,
( ~ sQ300_spl
| ~ sQ315_spl ),
inference(contradiction_clause,[status(thm)],[f5455]) ).
fof(f5460,plain,
( ~ sQ328_spl
| ~ sQ348_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2722,f1816]) ).
fof(f5461,plain,
( ~ sQ328_spl
| ~ sQ348_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5460,f62]) ).
fof(f5462,plain,
( ~ sQ328_spl
| ~ sQ348_spl ),
inference(contradiction_clause,[status(thm)],[f5461]) ).
fof(f5466,plain,
( ~ sQ255_spl
| ~ sQ303_spl
| product2(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f1731,f2290]) ).
fof(f5487,plain,
( ~ sQ315_spl
| ~ sQ348_spl
| product2(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f2725,f1770]) ).
fof(f5488,plain,
( ~ sQ272_spl
| ~ sQ363_spl
| product2(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f2997,f1622]) ).
fof(f5506,plain,
( ~ sQ332_spl
| ~ sQ285_spl
| product2(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f2441,f1829]) ).
fof(f5523,plain,
( ~ sQ359_spl
| ~ sQ277_spl
| product2(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f2496,f1920]) ).
fof(f5524,plain,
( ~ sQ255_spl
| ~ sQ296_spl
| product2(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f2349,f1568]) ).
fof(f5528,plain,
( ~ sQ363_spl
| ~ sQ306_spl
| product2(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f2641,f1933]) ).
fof(f5529,plain,
( ~ sQ367_spl
| ~ sQ339_spl
| product2(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f2777,f1946]) ).
fof(f5530,plain,
( ~ sQ296_spl
| ~ sQ367_spl
| product2(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f2939,f1704]) ).
fof(f5531,plain,
( ~ sQ339_spl
| ~ sQ303_spl
| product2(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f2694,f1851]) ).
fof(f5558,plain,
( ~ sQ294_spl
| ~ sQ325_spl
| product2(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f2899,f1697]) ).
fof(model,axiom,
( ~ sQ0_spl
| sQ1_spl
| ~ sQ2_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
| ~ sQ16_spl
| sQ17_spl
| ~ sQ18_spl
| ~ sQ19_spl
| sQ20_spl
| ~ sQ21_spl
| ~ sQ22_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
| ~ 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
| ~ sQ107_spl
| ~ sQ108_spl
| ~ sQ109_spl
| sQ111_spl
| ~ sQ112_spl
| ~ sQ114_spl
| ~ sQ115_spl
| ~ sQ116_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
| sQ135_spl
| sQ136_spl
| sQ137_spl
| sQ138_spl
| sQ140_spl
| sQ141_spl
| sQ142_spl
| sQ143_spl
| sQ145_spl
| sQ146_spl
| sQ147_spl
| sQ148_spl
| sQ150_spl
| sQ151_spl
| sQ152_spl
| sQ153_spl
| sQ154_spl
| sQ155_spl
| sQ156_spl
| sQ157_spl
| sQ158_spl
| sQ159_spl
| sQ160_spl
| sQ161_spl
| sQ162_spl
| sQ163_spl
| sQ164_spl
| sQ165_spl
| sQ166_spl
| sQ167_spl
| sQ168_spl
| sQ169_spl
| sQ170_spl
| sQ171_spl
| sQ172_spl
| sQ173_spl
| sQ174_spl
| sQ175_spl
| sQ176_spl
| sQ177_spl
| sQ178_spl
| sQ179_spl
| sQ180_spl
| sQ181_spl
| sQ182_spl
| sQ183_spl
| sQ184_spl
| sQ185_spl
| sQ186_spl
| sQ187_spl
| sQ188_spl
| sQ189_spl
| sQ190_spl
| sQ191_spl
| sQ192_spl
| sQ193_spl
| sQ194_spl
| sQ195_spl
| sQ196_spl
| sQ197_spl
| sQ198_spl
| sQ199_spl
| sQ200_spl
| sQ201_spl
| sQ202_spl
| sQ203_spl
| sQ204_spl
| sQ205_spl
| sQ206_spl
| sQ207_spl
| sQ208_spl
| sQ209_spl
| sQ210_spl
| sQ211_spl
| sQ212_spl
| sQ213_spl
| sQ214_spl
| sQ215_spl
| sQ216_spl
| sQ217_spl
| sQ218_spl
| sQ219_spl
| sQ220_spl
| sQ221_spl
| sQ222_spl
| sQ223_spl
| sQ224_spl
| sQ225_spl
| sQ226_spl
| sQ227_spl
| sQ228_spl
| sQ229_spl
| sQ230_spl
| sQ231_spl
| sQ232_spl
| sQ233_spl
| sQ234_spl
| sQ235_spl
| sQ236_spl
| sQ237_spl
| sQ238_spl
| sQ239_spl
| sQ240_spl
| sQ241_spl
| sQ242_spl
| sQ243_spl
| sQ244_spl
| sQ245_spl
| sQ246_spl
| sQ247_spl
| sQ248_spl
| sQ249_spl
| ~ sQ250_spl
| ~ sQ251_spl
| ~ sQ252_spl
| ~ sQ253_spl
| sQ254_spl
| sQ255_spl
| ~ sQ256_spl
| ~ sQ257_spl
| ~ sQ258_spl
| ~ sQ259_spl
| ~ sQ260_spl
| sQ261_spl
| ~ sQ262_spl
| ~ sQ263_spl
| ~ sQ264_spl
| ~ sQ265_spl
| ~ sQ266_spl
| sQ268_spl
| ~ sQ269_spl
| ~ sQ270_spl
| ~ sQ271_spl
| sQ272_spl
| ~ sQ273_spl
| ~ sQ274_spl
| ~ sQ276_spl
| sQ277_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
| ~ sQ290_spl
| ~ sQ291_spl
| ~ sQ292_spl
| ~ sQ293_spl
| sQ294_spl
| ~ sQ295_spl
| sQ296_spl
| ~ sQ297_spl
| ~ sQ298_spl
| ~ sQ299_spl
| ~ sQ300_spl
| ~ sQ302_spl
| sQ303_spl
| ~ sQ304_spl
| ~ sQ305_spl
| sQ306_spl
| ~ sQ307_spl
| ~ sQ308_spl
| ~ sQ309_spl
| ~ sQ310_spl
| ~ sQ311_spl
| sQ312_spl
| ~ sQ313_spl
| ~ sQ314_spl
| sQ315_spl
| ~ sQ316_spl
| ~ sQ317_spl
| ~ sQ318_spl
| ~ sQ319_spl
| ~ sQ320_spl
| ~ sQ322_spl
| ~ sQ323_spl
| sQ324_spl
| sQ325_spl
| ~ sQ326_spl
| ~ sQ327_spl
| ~ sQ328_spl
| ~ sQ329_spl
| ~ sQ330_spl
| ~ sQ331_spl
| sQ332_spl
| ~ sQ333_spl
| ~ sQ334_spl
| ~ sQ335_spl
| ~ sQ336_spl
| ~ sQ337_spl
| ~ sQ338_spl
| sQ339_spl
| ~ sQ340_spl
| sQ341_spl
| ~ sQ342_spl
| ~ sQ343_spl
| ~ sQ344_spl
| ~ sQ345_spl
| ~ sQ346_spl
| ~ sQ347_spl
| sQ348_spl
| ~ sQ349_spl
| ~ sQ350_spl
| sQ351_spl
| ~ sQ352_spl
| ~ sQ353_spl
| ~ sQ354_spl
| ~ sQ355_spl
| ~ sQ356_spl
| ~ sQ357_spl
| ~ sQ358_spl
| sQ359_spl
| ~ sQ360_spl
| ~ sQ361_spl
| ~ sQ362_spl
| sQ363_spl
| ~ sQ364_spl
| ~ sQ365_spl
| ~ sQ366_spl
| sQ367_spl
| ~ sQ368_spl
| sQ370_spl
| ~ sQ371_spl
| ~ sQ372_spl
| ~ sQ373_spl
| ~ sQ374_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP124-9.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:02:20 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 5.50/1.24 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 5.50/1.24 % SZS output start Saturation for theBenchmark
% See solution above
% 0.36/1.28 % Elapsed time: 0.906244 seconds
% 0.36/1.28 % CPU time: 6.752757 seconds
% 0.36/1.28 % Total memory used: 73.798 MB
% 0.36/1.28 % Net memory used: 68.254 MB
%------------------------------------------------------------------------------