%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP127-3.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 12:35:53 PM UTC 2026
% Result : Satisfiable 5.65s 1.23s
% Output : Saturation 5.65s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
next(e_0,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
next(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
greater(e_1,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
greater(e_4,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
greater(e_5,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
greater(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
greater(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
greater(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y,Z] :
( equalish(Y,Z)
| ~ cycle(X,Z)
| ~ cycle(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] :
( cycle(X,e_4)
| cycle(X,e_3)
| cycle(X,e_2)
| cycle(X,e_1)
| cycle(X,e_0)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
cycle(e_5,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X,Y,W,Z,Z1] :
( equalish(Y,Z1)
| ~ next(Z,Z1)
| ~ greater(Y,e_0)
| ~ next(X,W)
| ~ cycle(W,Z)
| ~ cycle(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X,Z1,Y,W,Z2] :
( ~ greater(Z1,Z2)
| ~ greater(Y,X)
| ~ next(Y,W)
| ~ cycle(W,Z2)
| ~ cycle(Y,e_0)
| ~ cycle(X,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,Y] :
( ~ greater(Y,X)
| ~ product(X,e_1,Y)
| ~ cycle(X,e_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X,Y,Z,X1] :
( equalish(Z,X1)
| ~ next(X,X1)
| ~ greater(Y,e_0)
| ~ product(X,e_1,Z)
| ~ cycle(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [X,Y] :
( product(X,Y,e_5)
| product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
! [Y,X,Z1,Z2] :
( product(Z2,Y,X)
| ~ product(Z1,Y,Z2)
| ~ product(Y,X,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,plain,
next(e_0,e_1),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f60,plain,
next(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
next(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f62,plain,
next(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f63,plain,
next(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f64,plain,
greater(e_1,e_0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f65,plain,
greater(e_2,e_0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f66,plain,
greater(e_3,e_0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f67,plain,
greater(e_4,e_0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f68,plain,
greater(e_5,e_0),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f69,plain,
greater(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f70,plain,
greater(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f71,plain,
greater(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f72,plain,
greater(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f73,plain,
greater(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f74,plain,
greater(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f75,plain,
greater(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f76,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f77,plain,
greater(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f78,plain,
greater(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f79,plain,
! [Y,Z] :
( equalish(Y,Z)
| ! [X] :
( ~ cycle(X,Z)
| ~ cycle(X,Y) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f80,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ cycle(X0,X2)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f81,plain,
! [X0] :
( cycle(X0,e_4)
| cycle(X0,e_3)
| cycle(X0,e_2)
| cycle(X0,e_1)
| cycle(X0,e_0)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f82,plain,
cycle(e_5,e_0),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f83,plain,
! [Y,Z1] :
( equalish(Y,Z1)
| ! [Z] :
( ~ next(Z,Z1)
| ~ greater(Y,e_0)
| ! [X,W] :
( ~ next(X,W)
| ~ cycle(W,Z)
| ~ cycle(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f84,plain,
! [X0,X1,X2,X3,X4] :
( equalish(X1,X4)
| ~ next(X3,X4)
| ~ greater(X1,e_0)
| ~ next(X0,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f85,plain,
! [Z1,Z2] :
( ~ greater(Z1,Z2)
| ! [X,Y] :
( ~ greater(Y,X)
| ! [W] :
( ~ next(Y,W)
| ~ cycle(W,Z2)
| ~ cycle(Y,e_0)
| ~ cycle(X,Z1) ) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f86,plain,
! [X0,X1,X2,X3,X4] :
( ~ greater(X1,X4)
| ~ greater(X2,X0)
| ~ next(X2,X3)
| ~ cycle(X3,X4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ product(X0,e_1,X1)
| ~ cycle(X0,e_0) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f88,plain,
! [Z,X1] :
( equalish(Z,X1)
| ! [X] :
( ~ next(X,X1)
| ! [Y] :
( ~ greater(Y,e_0)
| ~ product(X,e_1,Z)
| ~ cycle(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ next(X0,X3)
| ~ greater(X1,e_0)
| ~ product(X0,e_1,X2)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f90,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f91,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f92,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f93,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f94,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f95,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f96,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f97,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f98,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f99,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f100,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f101,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f102,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f103,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f104,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f105,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f106,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f107,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f108,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f109,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f110,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f111,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f112,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f113,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f114,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f115,plain,
! [X0,X1] :
( product(X0,X1,e_5)
| product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f116,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f118,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f55]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f118]) ).
fof(f120,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f56]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f122,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f123,plain,
! [Y,X,Z2] :
( product(Z2,Y,X)
| ! [Z1] :
( ~ product(Z1,Y,Z2)
| ~ product(Y,X,Z1) ) ),
inference(miniscoping,[status(thm)],[f58]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( product(X3,X0,X1)
| ~ product(X2,X0,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f125,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f122,f117]) ).
fof(f126,plain,
! [X0,X1] :
( product(X0,X0,X1)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f122,f124]) ).
fof(f127,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f125,f122]) ).
fof(f128,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f119,f122]) ).
fof(f129,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f121,f122]) ).
fof(f130,plain,
( cycle(e_3,e_4)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f81,f92]) ).
fof(f131,plain,
( cycle(e_2,e_4)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f81,f91]) ).
fof(f132,plain,
( cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f81,f90]) ).
fof(f133,definition,
( sQ0_spl
<=> cycle(e_3,e_0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ0_spl
| cycle(e_3,e_0) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f135,plain,
( sQ0_spl
| ~ cycle(e_3,e_0) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,definition,
( sQ1_spl
<=> cycle(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ1_spl
| cycle(e_3,e_1) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f138,plain,
( sQ1_spl
| ~ cycle(e_3,e_1) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,definition,
( sQ2_spl
<=> cycle(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( ~ sQ2_spl
| cycle(e_3,e_2) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f141,plain,
( sQ2_spl
| ~ cycle(e_3,e_2) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,definition,
( sQ3_spl
<=> cycle(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( ~ sQ3_spl
| cycle(e_3,e_3) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f144,plain,
( sQ3_spl
| ~ cycle(e_3,e_3) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f145,definition,
( sQ4_spl
<=> cycle(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ4_spl
| cycle(e_3,e_4) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f147,plain,
( sQ4_spl
| ~ cycle(e_3,e_4) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f130,f133,f136,f139,f142,f145]) ).
fof(f149,definition,
( sQ5_spl
<=> cycle(e_2,e_0) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ5_spl
| cycle(e_2,e_0) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f151,plain,
( sQ5_spl
| ~ cycle(e_2,e_0) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,definition,
( sQ6_spl
<=> cycle(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( ~ sQ6_spl
| cycle(e_2,e_1) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f154,plain,
( sQ6_spl
| ~ cycle(e_2,e_1) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,definition,
( sQ7_spl
<=> cycle(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( ~ sQ7_spl
| cycle(e_2,e_2) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f157,plain,
( sQ7_spl
| ~ cycle(e_2,e_2) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,definition,
( sQ8_spl
<=> cycle(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( ~ sQ8_spl
| cycle(e_2,e_3) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f160,plain,
( sQ8_spl
| ~ cycle(e_2,e_3) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,definition,
( sQ9_spl
<=> cycle(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( ~ sQ9_spl
| cycle(e_2,e_4) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f163,plain,
( sQ9_spl
| ~ cycle(e_2,e_4) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f131,f149,f152,f155,f158,f161]) ).
fof(f165,definition,
( sQ10_spl
<=> cycle(e_1,e_0) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ10_spl
| cycle(e_1,e_0) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,definition,
( sQ11_spl
<=> cycle(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( ~ sQ11_spl
| cycle(e_1,e_1) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f170,plain,
( sQ11_spl
| ~ cycle(e_1,e_1) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,definition,
( sQ12_spl
<=> cycle(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f172,plain,
( ~ sQ12_spl
| cycle(e_1,e_2) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f173,plain,
( sQ12_spl
| ~ cycle(e_1,e_2) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,definition,
( sQ13_spl
<=> cycle(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ13_spl
| cycle(e_1,e_3) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f176,plain,
( sQ13_spl
| ~ cycle(e_1,e_3) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,definition,
( sQ14_spl
<=> cycle(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ14_spl
| cycle(e_1,e_4) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f179,plain,
( sQ14_spl
| ~ cycle(e_1,e_4) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f132,f165,f168,f171,f174,f177]) ).
fof(f181,plain,
! [X0] :
( product(e_3,X0,e_5)
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f115,f92]) ).
fof(f182,plain,
! [X0] :
( product(e_2,X0,e_5)
| product(e_2,X0,e_4)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f115,f91]) ).
fof(f183,plain,
! [X0] :
( product(e_1,X0,e_5)
| product(e_1,X0,e_4)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f115,f90]) ).
fof(f184,plain,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f181,f92]) ).
fof(f185,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f181,f91]) ).
fof(f186,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f181,f90]) ).
fof(f187,definition,
( sQ15_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( ~ sQ15_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f189,plain,
( sQ15_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,definition,
( sQ16_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( ~ sQ16_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f192,plain,
( sQ16_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,definition,
( sQ17_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f196,definition,
( sQ18_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ18_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f198,plain,
( sQ18_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,definition,
( sQ19_spl
<=> product(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ19_spl
| product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f201,plain,
( sQ19_spl
| ~ product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f184,f187,f190,f193,f196,f199]) ).
fof(f203,definition,
( sQ20_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ20_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f205,plain,
( sQ20_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,definition,
( sQ21_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ21_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f208,plain,
( sQ21_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,definition,
( sQ22_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ22_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f211,plain,
( sQ22_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,definition,
( sQ23_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ23_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f214,plain,
( sQ23_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,definition,
( sQ24_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ24_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f217,plain,
( sQ24_spl
| ~ product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f185,f203,f206,f209,f212,f215]) ).
fof(f219,definition,
( sQ25_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ25_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f221,plain,
( sQ25_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,definition,
( sQ26_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ26_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f224,plain,
( sQ26_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,definition,
( sQ27_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ27_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f227,plain,
( sQ27_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,definition,
( sQ28_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ28_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f230,plain,
( sQ28_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,definition,
( sQ29_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ29_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f233,plain,
( sQ29_spl
| ~ product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f186,f219,f222,f225,f228,f231]) ).
fof(f235,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f182,f92]) ).
fof(f236,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f182,f91]) ).
fof(f237,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f182,f90]) ).
fof(f238,definition,
( sQ30_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ30_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f240,plain,
( sQ30_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
( sQ31_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ31_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f243,plain,
( sQ31_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,definition,
( sQ32_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ32_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f246,plain,
( sQ32_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
( sQ33_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( ~ sQ33_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f249,plain,
( sQ33_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,definition,
( sQ34_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ34_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f252,plain,
( sQ34_spl
| ~ product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f235,f238,f241,f244,f247,f250]) ).
fof(f254,definition,
( sQ35_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ35_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f256,plain,
( sQ35_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,definition,
( sQ36_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f260,definition,
( sQ37_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ37_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f262,plain,
( sQ37_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,definition,
( sQ38_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ38_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f265,plain,
( sQ38_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,definition,
( sQ39_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ39_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f268,plain,
( sQ39_spl
| ~ product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f236,f254,f257,f260,f263,f266]) ).
fof(f270,definition,
( sQ40_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( ~ sQ40_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f272,plain,
( sQ40_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,definition,
( sQ41_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ41_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f275,plain,
( sQ41_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
( sQ42_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ42_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f278,plain,
( sQ42_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,definition,
( sQ43_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ43_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f281,plain,
( sQ43_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
( sQ44_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ44_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f284,plain,
( sQ44_spl
| ~ product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f237,f270,f273,f276,f279,f282]) ).
fof(f286,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f183,f92]) ).
fof(f287,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f183,f91]) ).
fof(f288,plain,
( product(e_1,e_1,e_5)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f183,f90]) ).
fof(f289,definition,
( sQ45_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( ~ sQ45_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f291,plain,
( sQ45_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,definition,
( sQ46_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ46_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f294,plain,
( sQ46_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,definition,
( sQ47_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ47_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f297,plain,
( sQ47_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,definition,
( sQ48_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ48_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f300,plain,
( sQ48_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,definition,
( sQ49_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ49_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f303,plain,
( sQ49_spl
| ~ product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f286,f289,f292,f295,f298,f301]) ).
fof(f305,definition,
( sQ50_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( ~ sQ50_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f307,plain,
( sQ50_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,definition,
( sQ51_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ51_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f310,plain,
( sQ51_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,definition,
( sQ52_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ52_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f313,plain,
( sQ52_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,definition,
( sQ53_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ53_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f316,plain,
( sQ53_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,definition,
( sQ54_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ54_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f319,plain,
( sQ54_spl
| ~ product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f287,f305,f308,f311,f314,f317]) ).
fof(f321,definition,
( sQ55_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f324,definition,
( sQ56_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ56_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f326,plain,
( sQ56_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,definition,
( sQ57_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ57_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f329,plain,
( sQ57_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,definition,
( sQ58_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ58_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f332,plain,
( sQ58_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,definition,
( sQ59_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( ~ sQ59_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f335,plain,
( sQ59_spl
| ~ product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f288,f321,f324,f327,f330,f333]) ).
fof(f340,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f93,f183]) ).
fof(f341,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f93,f182]) ).
fof(f342,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f93,f181]) ).
fof(f343,plain,
! [X0] :
( product(e_4,X0,e_5)
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f93,f115]) ).
fof(f344,plain,
( cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_1)
| cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f93,f81]) ).
fof(f345,definition,
( sQ60_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ60_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f347,plain,
( sQ60_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,definition,
( sQ61_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ61_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f350,plain,
( sQ61_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,definition,
( sQ62_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( ~ sQ62_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f353,plain,
( sQ62_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,definition,
( sQ63_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ63_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f356,plain,
( sQ63_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,definition,
( sQ64_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( ~ sQ64_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f359,plain,
( sQ64_spl
| ~ product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f340,f345,f348,f351,f354,f357]) ).
fof(f361,definition,
( sQ65_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ65_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f363,plain,
( sQ65_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,definition,
( sQ66_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ66_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f366,plain,
( sQ66_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,definition,
( sQ67_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ67_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f369,plain,
( sQ67_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,definition,
( sQ68_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ68_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f372,plain,
( sQ68_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,definition,
( sQ69_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( ~ sQ69_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f375,plain,
( sQ69_spl
| ~ product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f341,f361,f364,f367,f370,f373]) ).
fof(f377,definition,
( sQ70_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( ~ sQ70_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f379,plain,
( sQ70_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,definition,
( sQ71_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ71_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f382,plain,
( sQ71_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ72_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ72_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f385,plain,
( sQ72_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
( sQ73_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ73_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f388,plain,
( sQ73_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,definition,
( sQ74_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ74_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f391,plain,
( sQ74_spl
| ~ product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f342,f377,f380,f383,f386,f389]) ).
fof(f393,definition,
( sQ75_spl
<=> cycle(e_4,e_0) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( ~ sQ75_spl
| cycle(e_4,e_0) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f395,plain,
( sQ75_spl
| ~ cycle(e_4,e_0) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,definition,
( sQ76_spl
<=> cycle(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( ~ sQ76_spl
| cycle(e_4,e_1) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,definition,
( sQ77_spl
<=> cycle(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( ~ sQ77_spl
| cycle(e_4,e_2) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f401,plain,
( sQ77_spl
| ~ cycle(e_4,e_2) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,definition,
( sQ78_spl
<=> cycle(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ78_spl
| cycle(e_4,e_3) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f404,plain,
( sQ78_spl
| ~ cycle(e_4,e_3) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,definition,
( sQ79_spl
<=> cycle(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ79_spl
| cycle(e_4,e_4) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( sQ79_spl
| ~ cycle(e_4,e_4) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f344,f393,f396,f399,f402,f405]) ).
fof(f409,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f343,f93]) ).
fof(f410,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f343,f92]) ).
fof(f411,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f343,f91]) ).
fof(f412,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f343,f90]) ).
fof(f413,definition,
( sQ80_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( ~ sQ80_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f415,plain,
( sQ80_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,definition,
( sQ81_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( ~ sQ81_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f418,plain,
( sQ81_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,definition,
( sQ82_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( ~ sQ82_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f421,plain,
( sQ82_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,definition,
( sQ83_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f425,definition,
( sQ84_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( ~ sQ84_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f427,plain,
( sQ84_spl
| ~ product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f409,f413,f416,f419,f422,f425]) ).
fof(f429,definition,
( sQ85_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( ~ sQ85_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f431,plain,
( sQ85_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,definition,
( sQ86_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( ~ sQ86_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f434,plain,
( sQ86_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,definition,
( sQ87_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( ~ sQ87_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f437,plain,
( sQ87_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,definition,
( sQ88_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f439,plain,
( ~ sQ88_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f440,plain,
( sQ88_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,definition,
( sQ89_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( ~ sQ89_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f443,plain,
( sQ89_spl
| ~ product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f410,f429,f432,f435,f438,f441]) ).
fof(f445,definition,
( sQ90_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( ~ sQ90_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f447,plain,
( sQ90_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,definition,
( sQ91_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( ~ sQ91_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f450,plain,
( sQ91_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,definition,
( sQ92_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( ~ sQ92_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f453,plain,
( sQ92_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,definition,
( sQ93_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ93_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f456,plain,
( sQ93_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,definition,
( sQ94_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ94_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f459,plain,
( sQ94_spl
| ~ product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f411,f445,f448,f451,f454,f457]) ).
fof(f461,definition,
( sQ95_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ95_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f463,plain,
( sQ95_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,definition,
( sQ96_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( ~ sQ96_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f466,plain,
( sQ96_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,definition,
( sQ97_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ97_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f469,plain,
( sQ97_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,definition,
( sQ98_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ98_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f472,plain,
( sQ98_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,definition,
( sQ99_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ99_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f475,plain,
( sQ99_spl
| ~ product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f412,f461,f464,f467,f470,f473]) ).
fof(f477,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f94,f343]) ).
fof(f478,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f94,f183]) ).
fof(f479,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f94,f182]) ).
fof(f480,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f94,f181]) ).
fof(f481,plain,
! [X0] :
( product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f94,f115]) ).
fof(f483,definition,
( sQ100_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( ~ sQ100_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f485,plain,
( sQ100_spl
| ~ product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,definition,
( sQ101_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( ~ sQ101_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f488,plain,
( sQ101_spl
| ~ product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,definition,
( sQ102_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ102_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f491,plain,
( sQ102_spl
| ~ product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,definition,
( sQ103_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( ~ sQ103_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f494,plain,
( sQ103_spl
| ~ product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,definition,
( sQ104_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( ~ sQ104_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f497,plain,
( sQ104_spl
| ~ product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f477,f483,f486,f489,f492,f495]) ).
fof(f499,definition,
( sQ105_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ105_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f501,plain,
( sQ105_spl
| ~ product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,definition,
( sQ106_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ106_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f504,plain,
( sQ106_spl
| ~ product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,definition,
( sQ107_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( ~ sQ107_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f507,plain,
( sQ107_spl
| ~ product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,definition,
( sQ108_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( ~ sQ108_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f510,plain,
( sQ108_spl
| ~ product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,definition,
( sQ109_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( ~ sQ109_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f513,plain,
( sQ109_spl
| ~ product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f478,f499,f502,f505,f508,f511]) ).
fof(f515,definition,
( sQ110_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ110_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f517,plain,
( sQ110_spl
| ~ product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
( sQ111_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( ~ sQ111_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f520,plain,
( sQ111_spl
| ~ product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,definition,
( sQ112_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f522,plain,
( ~ sQ112_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f523,plain,
( sQ112_spl
| ~ product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,definition,
( sQ113_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( ~ sQ113_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f526,plain,
( sQ113_spl
| ~ product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,definition,
( sQ114_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( ~ sQ114_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f529,plain,
( sQ114_spl
| ~ product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f530,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f479,f515,f518,f521,f524,f527]) ).
fof(f531,definition,
( sQ115_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( ~ sQ115_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f533,plain,
( sQ115_spl
| ~ product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,definition,
( sQ116_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( ~ sQ116_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f536,plain,
( sQ116_spl
| ~ product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,definition,
( sQ117_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ117_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f539,plain,
( sQ117_spl
| ~ product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,definition,
( sQ118_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f541,plain,
( ~ sQ118_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f542,plain,
( sQ118_spl
| ~ product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,definition,
( sQ119_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( ~ sQ119_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f545,plain,
( sQ119_spl
| ~ product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f480,f531,f534,f537,f540,f543]) ).
fof(f547,definition,
( sQ120_spl
<=> cycle(e_5,e_0) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( sQ120_spl
| ~ cycle(e_5,e_0) ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,definition,
( sQ121_spl
<=> cycle(e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( ~ sQ121_spl
| cycle(e_5,e_1) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f552,plain,
( sQ121_spl
| ~ cycle(e_5,e_1) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,definition,
( sQ122_spl
<=> cycle(e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f554,plain,
( ~ sQ122_spl
| cycle(e_5,e_2) ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f555,plain,
( sQ122_spl
| ~ cycle(e_5,e_2) ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f556,definition,
( sQ123_spl
<=> cycle(e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f557,plain,
( ~ sQ123_spl
| cycle(e_5,e_3) ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f558,plain,
( sQ123_spl
| ~ cycle(e_5,e_3) ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f559,definition,
( sQ124_spl
<=> cycle(e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f560,plain,
( ~ sQ124_spl
| cycle(e_5,e_4) ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f561,plain,
( sQ124_spl
| ~ cycle(e_5,e_4) ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f563,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f481,f94]) ).
fof(f564,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f481,f93]) ).
fof(f565,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f481,f92]) ).
fof(f566,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f481,f91]) ).
fof(f567,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f481,f90]) ).
fof(f568,definition,
( sQ125_spl
<=> product(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ125_spl
| product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f570,plain,
( sQ125_spl
| ~ product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,definition,
( sQ126_spl
<=> product(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( ~ sQ126_spl
| product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f573,plain,
( sQ126_spl
| ~ product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,definition,
( sQ127_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f575,plain,
( ~ sQ127_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f576,plain,
( sQ127_spl
| ~ product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,definition,
( sQ128_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( ~ sQ128_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f579,plain,
( sQ128_spl
| ~ product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,definition,
( sQ129_spl
<=> product(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f583,plain,
( sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f563,f568,f571,f574,f577,f580]) ).
fof(f584,definition,
( sQ130_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ130_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f586,plain,
( sQ130_spl
| ~ product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,definition,
( sQ131_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f588,plain,
( ~ sQ131_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f589,plain,
( sQ131_spl
| ~ product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,definition,
( sQ132_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f591,plain,
( ~ sQ132_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f592,plain,
( sQ132_spl
| ~ product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,definition,
( sQ133_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ133_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f595,plain,
( sQ133_spl
| ~ product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,definition,
( sQ134_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( ~ sQ134_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f598,plain,
( sQ134_spl
| ~ product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,plain,
( sQ134_spl
| sQ133_spl
| sQ132_spl
| sQ131_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f564,f584,f587,f590,f593,f596]) ).
fof(f600,definition,
( sQ135_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( ~ sQ135_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f602,plain,
( sQ135_spl
| ~ product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,definition,
( sQ136_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ136_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f605,plain,
( sQ136_spl
| ~ product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,definition,
( sQ137_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( ~ sQ137_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f608,plain,
( sQ137_spl
| ~ product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,definition,
( sQ138_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f610,plain,
( ~ sQ138_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f611,plain,
( sQ138_spl
| ~ product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,definition,
( sQ139_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f613,plain,
( ~ sQ139_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f614,plain,
( sQ139_spl
| ~ product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,plain,
( sQ139_spl
| sQ138_spl
| sQ137_spl
| sQ136_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f565,f600,f603,f606,f609,f612]) ).
fof(f616,definition,
( sQ140_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( ~ sQ140_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f618,plain,
( sQ140_spl
| ~ product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,definition,
( sQ141_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ141_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f621,plain,
( sQ141_spl
| ~ product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,definition,
( sQ142_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f623,plain,
( ~ sQ142_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f622]) ).
fof(f624,plain,
( sQ142_spl
| ~ product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f622]) ).
fof(f625,definition,
( sQ143_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f626,plain,
( ~ sQ143_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f627,plain,
( sQ143_spl
| ~ product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,definition,
( sQ144_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( ~ sQ144_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f630,plain,
( sQ144_spl
| ~ product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,plain,
( sQ144_spl
| sQ143_spl
| sQ142_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f566,f616,f619,f622,f625,f628]) ).
fof(f632,definition,
( sQ145_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f633,plain,
( ~ sQ145_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f634,plain,
( sQ145_spl
| ~ product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f635,definition,
( sQ146_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( ~ sQ146_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f637,plain,
( sQ146_spl
| ~ product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,definition,
( sQ147_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( ~ sQ147_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f640,plain,
( sQ147_spl
| ~ product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,definition,
( sQ148_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( ~ sQ148_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f643,plain,
( sQ148_spl
| ~ product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,definition,
( sQ149_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( ~ sQ149_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f646,plain,
( sQ149_spl
| ~ product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,plain,
( sQ149_spl
| sQ148_spl
| sQ147_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f567,f632,f635,f638,f641,f644]) ).
fof(f648,plain,
! [X0] :
( equalish(X0,e_0)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f80,f82]) ).
fof(f649,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f84,f82]) ).
fof(f650,plain,
! [X0,X1] :
( ~ greater(X1,e_0)
| ~ greater(e_5,X0)
| ~ next(e_5,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f86,f82]) ).
fof(f651,plain,
! [X0,X1,X2,X3] :
( ~ greater(X1,X3)
| ~ greater(e_5,X0)
| ~ next(e_5,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f86,f82]) ).
fof(f652,plain,
! [X0,X1,X2] :
( ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_5)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f86,f82]) ).
fof(f653,definition,
! [X0,X1] :
( sQ150_spl
<=> ( ~ greater(X1,e_0)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f654,plain,
! [X0,X1] :
( ~ sQ150_spl
| ~ greater(X1,e_0)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,definition,
( sQ151_spl
<=> next(e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f658,plain,
( sQ151_spl
| ~ next(e_5,e_5) ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,plain,
( ~ sQ151_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f650,f653,f656]) ).
fof(f660,plain,
( ~ greater(e_1,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f87,f122]) ).
fof(f661,definition,
( sQ152_spl
<=> greater(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( sQ152_spl
| ~ greater(e_1,e_1) ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,plain,
( ~ sQ152_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f660,f165,f661]) ).
fof(f665,plain,
! [X0,X1] :
( equalish(e_1,X1)
| ~ next(e_1,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f89,f122]) ).
fof(f666,definition,
! [X0] :
( sQ153_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f667,plain,
! [X0] :
( ~ sQ153_spl
| ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f669,definition,
! [X1] :
( sQ154_spl
<=> ( equalish(e_1,X1)
| ~ next(e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f670,plain,
! [X0] :
( ~ sQ154_spl
| equalish(e_1,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,plain,
( sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f665,f666,f669]) ).
fof(f673,plain,
( ~ sQ154_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f670,f60]) ).
fof(f674,plain,
( ~ sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f673,f95]) ).
fof(f675,plain,
~ sQ154_spl,
inference(contradiction_clause,[status(thm)],[f674]) ).
fof(f676,plain,
( ~ sQ153_spl
| ~ sQ14_spl
| ~ greater(e_4,e_0) ),
inference(resolution,[status(thm)],[f178,f667]) ).
fof(f677,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| ~ greater(X1,e_4)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f178,f86]) ).
fof(f678,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(X1,X2)
| ~ next(e_4,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f178,f84]) ).
fof(f679,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_4)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f178,f80]) ).
fof(f680,plain,
( ~ sQ153_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f676,f67]) ).
fof(f681,plain,
( ~ sQ153_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f680]) ).
fof(f682,plain,
( ~ sQ153_spl
| ~ sQ13_spl
| ~ greater(e_3,e_0) ),
inference(resolution,[status(thm)],[f175,f667]) ).
fof(f683,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f175,f86]) ).
fof(f684,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f175,f84]) ).
fof(f685,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f175,f80]) ).
fof(f686,plain,
( ~ sQ153_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f682,f66]) ).
fof(f687,plain,
( ~ sQ153_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f686]) ).
fof(f688,plain,
( ~ sQ153_spl
| ~ sQ12_spl
| ~ greater(e_2,e_0) ),
inference(resolution,[status(thm)],[f172,f667]) ).
fof(f689,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f172,f86]) ).
fof(f690,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f172,f84]) ).
fof(f691,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_2)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f172,f80]) ).
fof(f692,plain,
( ~ sQ153_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f688,f65]) ).
fof(f693,plain,
( ~ sQ153_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f692]) ).
fof(f694,plain,
( ~ sQ153_spl
| ~ sQ11_spl
| ~ greater(e_1,e_0) ),
inference(resolution,[status(thm)],[f169,f667]) ).
fof(f695,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f169,f86]) ).
fof(f696,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f169,f84]) ).
fof(f697,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_1)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f169,f80]) ).
fof(f698,plain,
( ~ sQ153_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f694,f64]) ).
fof(f699,plain,
( ~ sQ153_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f698]) ).
fof(f700,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| ~ greater(X1,e_4)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f162,f86]) ).
fof(f701,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(X1,X2)
| ~ next(e_4,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f162,f84]) ).
fof(f702,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f162,f80]) ).
fof(f703,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f159,f86]) ).
fof(f704,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f159,f84]) ).
fof(f705,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f159,f80]) ).
fof(f706,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f156,f86]) ).
fof(f707,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f156,f84]) ).
fof(f708,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_2)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f156,f80]) ).
fof(f709,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f153,f86]) ).
fof(f710,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f153,f84]) ).
fof(f711,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_1)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f153,f80]) ).
fof(f712,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ greater(X1,e_0)
| ~ greater(e_2,X0)
| ~ next(e_2,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f150,f86]) ).
fof(f713,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| ~ greater(X1,X3)
| ~ greater(e_2,X0)
| ~ next(e_2,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f150,f86]) ).
fof(f715,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f150,f86]) ).
fof(f716,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f150,f84]) ).
fof(f717,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f150,f80]) ).
fof(f718,definition,
! [X0,X1] :
( sQ155_spl
<=> ( ~ greater(X1,e_0)
| ~ greater(e_2,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f719,plain,
! [X0,X1] :
( ~ sQ155_spl
| ~ greater(X1,e_0)
| ~ greater(e_2,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,definition,
( sQ156_spl
<=> next(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f723,plain,
( sQ156_spl
| ~ next(e_2,e_2) ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,plain,
( ~ sQ5_spl
| ~ sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f712,f718,f721,f149]) ).
fof(f726,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| ~ greater(X1,e_4)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f146,f86]) ).
fof(f727,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| equalish(X1,X2)
| ~ next(e_4,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f146,f84]) ).
fof(f728,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_4)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f146,f80]) ).
fof(f729,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ greater(X1,e_4)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f406,f86]) ).
fof(f730,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| equalish(X1,X2)
| ~ next(e_4,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f406,f84]) ).
fof(f731,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_4)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f406,f80]) ).
fof(f732,plain,
! [X0,X1,X2] :
( ~ sQ78_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f403,f86]) ).
fof(f733,plain,
! [X0,X1,X2] :
( ~ sQ78_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f403,f84]) ).
fof(f734,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_3)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f403,f80]) ).
fof(f735,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f400,f86]) ).
fof(f736,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f400,f84]) ).
fof(f737,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_2)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f400,f80]) ).
fof(f738,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f397,f86]) ).
fof(f739,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f397,f84]) ).
fof(f740,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_1)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f397,f80]) ).
fof(f741,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ next(e_4,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f394,f86]) ).
fof(f742,plain,
! [X0,X1,X2,X3] :
( ~ sQ75_spl
| ~ greater(X1,X3)
| ~ greater(e_4,X0)
| ~ next(e_4,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f394,f86]) ).
fof(f744,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f394,f86]) ).
fof(f745,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f394,f84]) ).
fof(f746,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f394,f80]) ).
fof(f747,definition,
! [X0,X1] :
( sQ157_spl
<=> ( ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f748,plain,
! [X0,X1] :
( ~ sQ157_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f750,definition,
( sQ158_spl
<=> next(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f752,plain,
( sQ158_spl
| ~ next(e_4,e_4) ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,plain,
( ~ sQ75_spl
| ~ sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f741,f747,f750,f393]) ).
fof(f755,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| ~ greater(X1,e_4)
| ~ greater(X2,X0)
| ~ next(X2,e_5)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f560,f86]) ).
fof(f756,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(X1,X2)
| ~ next(e_4,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f560,f84]) ).
fof(f757,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_4)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f560,f80]) ).
fof(f758,plain,
! [X0,X1,X2] :
( ~ sQ123_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_5)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f557,f86]) ).
fof(f759,plain,
! [X0,X1,X2] :
( ~ sQ123_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f557,f84]) ).
fof(f760,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_3)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f557,f80]) ).
fof(f761,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_5)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f554,f86]) ).
fof(f762,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f554,f84]) ).
fof(f763,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_2)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f554,f80]) ).
fof(f764,plain,
! [X0,X1,X2] :
( ~ sQ121_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_5)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f551,f86]) ).
fof(f765,plain,
! [X0,X1,X2] :
( ~ sQ121_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f551,f84]) ).
fof(f766,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f551,f80]) ).
fof(f767,plain,
( ~ sQ121_spl
| equalish(e_1,e_0) ),
inference(resolution,[status(thm)],[f648,f551]) ).
fof(f768,plain,
( ~ sQ122_spl
| equalish(e_2,e_0) ),
inference(resolution,[status(thm)],[f648,f554]) ).
fof(f769,plain,
( ~ sQ123_spl
| equalish(e_3,e_0) ),
inference(resolution,[status(thm)],[f648,f557]) ).
fof(f770,plain,
( ~ sQ124_spl
| equalish(e_4,e_0) ),
inference(resolution,[status(thm)],[f648,f560]) ).
fof(f772,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_5) ),
inference(resolution,[status(thm)],[f649,f397]) ).
fof(f773,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_4,e_5) ),
inference(resolution,[status(thm)],[f649,f400]) ).
fof(f774,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_4,e_5) ),
inference(resolution,[status(thm)],[f649,f403]) ).
fof(f775,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_4,X0)
| ~ next(e_0,X0)
| ~ greater(e_4,e_0)
| ~ next(e_4,e_5) ),
inference(resolution,[status(thm)],[f649,f406]) ).
fof(f776,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_4,X0)
| ~ next(e_0,X0)
| ~ greater(e_4,e_0)
| ~ next(e_3,e_5) ),
inference(resolution,[status(thm)],[f649,f146]) ).
fof(f777,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_5) ),
inference(resolution,[status(thm)],[f649,f153]) ).
fof(f778,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_5) ),
inference(resolution,[status(thm)],[f649,f156]) ).
fof(f779,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_5) ),
inference(resolution,[status(thm)],[f649,f159]) ).
fof(f780,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_4,X0)
| ~ next(e_0,X0)
| ~ greater(e_4,e_0)
| ~ next(e_2,e_5) ),
inference(resolution,[status(thm)],[f649,f162]) ).
fof(f781,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_5,e_5) ),
inference(resolution,[status(thm)],[f649,f551]) ).
fof(f782,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_5,e_5) ),
inference(resolution,[status(thm)],[f649,f554]) ).
fof(f783,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_5,e_5) ),
inference(resolution,[status(thm)],[f649,f557]) ).
fof(f784,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_4,X0)
| ~ next(e_0,X0)
| ~ greater(e_4,e_0)
| ~ next(e_5,e_5) ),
inference(resolution,[status(thm)],[f649,f560]) ).
fof(f785,plain,
! [X0] :
( equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_5) ),
inference(resolution,[status(thm)],[f649,f82]) ).
fof(f786,definition,
( sQ159_spl
<=> next(e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f788,plain,
( sQ159_spl
| ~ next(e_4,e_5) ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,definition,
( sQ160_spl
<=> greater(e_1,e_0) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( sQ160_spl
| ~ greater(e_1,e_0) ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f792,definition,
! [X0] :
( sQ161_spl
<=> ( equalish(e_1,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f793,plain,
! [X0] :
( ~ sQ161_spl
| equalish(e_1,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f795,plain,
( ~ sQ76_spl
| sQ161_spl
| ~ sQ160_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f772,f786,f789,f792,f396]) ).
fof(f796,definition,
( sQ162_spl
<=> greater(e_2,e_0) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( sQ162_spl
| ~ greater(e_2,e_0) ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,definition,
! [X0] :
( sQ163_spl
<=> ( equalish(e_2,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f800,plain,
! [X0] :
( ~ sQ163_spl
| equalish(e_2,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f802,plain,
( ~ sQ77_spl
| sQ163_spl
| ~ sQ162_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f773,f786,f796,f799,f399]) ).
fof(f803,definition,
( sQ164_spl
<=> greater(e_3,e_0) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f805,plain,
( sQ164_spl
| ~ greater(e_3,e_0) ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,definition,
! [X0] :
( sQ165_spl
<=> ( equalish(e_3,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f807,plain,
! [X0] :
( ~ sQ165_spl
| equalish(e_3,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( ~ sQ78_spl
| sQ165_spl
| ~ sQ164_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f774,f786,f803,f806,f402]) ).
fof(f810,definition,
( sQ166_spl
<=> greater(e_4,e_0) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f812,plain,
( sQ166_spl
| ~ greater(e_4,e_0) ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,definition,
! [X0] :
( sQ167_spl
<=> ( equalish(e_4,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f814,plain,
! [X0] :
( ~ sQ167_spl
| equalish(e_4,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,plain,
( ~ sQ79_spl
| sQ167_spl
| ~ sQ166_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f775,f786,f810,f813,f405]) ).
fof(f817,definition,
( sQ168_spl
<=> next(e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f819,plain,
( sQ168_spl
| ~ next(e_3,e_5) ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,plain,
( ~ sQ4_spl
| sQ167_spl
| ~ sQ166_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f776,f817,f810,f813,f145]) ).
fof(f821,definition,
( sQ169_spl
<=> next(e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f823,plain,
( sQ169_spl
| ~ next(e_2,e_5) ),
inference(component_clause,[status(thm)],[f821]) ).
fof(f824,plain,
( ~ sQ6_spl
| sQ161_spl
| ~ sQ160_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f777,f821,f789,f792,f152]) ).
fof(f825,plain,
( ~ sQ7_spl
| sQ163_spl
| ~ sQ162_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f778,f821,f796,f799,f155]) ).
fof(f826,plain,
( ~ sQ8_spl
| sQ165_spl
| ~ sQ164_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f779,f821,f803,f806,f158]) ).
fof(f827,plain,
( ~ sQ9_spl
| sQ167_spl
| ~ sQ166_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f780,f821,f810,f813,f161]) ).
fof(f828,plain,
( ~ sQ121_spl
| sQ161_spl
| ~ sQ160_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f781,f656,f789,f792,f550]) ).
fof(f829,plain,
( ~ sQ122_spl
| sQ163_spl
| ~ sQ162_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f782,f656,f796,f799,f553]) ).
fof(f830,plain,
( ~ sQ123_spl
| sQ165_spl
| ~ sQ164_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f783,f656,f803,f806,f556]) ).
fof(f831,plain,
( ~ sQ124_spl
| sQ167_spl
| ~ sQ166_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f784,f656,f810,f813,f559]) ).
fof(f832,definition,
( sQ170_spl
<=> greater(e_0,e_0) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f834,plain,
( sQ170_spl
| ~ greater(e_0,e_0) ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f835,definition,
! [X0] :
( sQ171_spl
<=> ( equalish(e_0,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f836,plain,
! [X0] :
( ~ sQ171_spl
| equalish(e_0,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,plain,
( sQ171_spl
| ~ sQ170_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f785,f656,f832,f835]) ).
fof(f839,plain,
( sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f812,f67]) ).
fof(f840,plain,
sQ166_spl,
inference(contradiction_clause,[status(thm)],[f839]) ).
fof(f841,plain,
( sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f788,f63]) ).
fof(f842,plain,
sQ159_spl,
inference(contradiction_clause,[status(thm)],[f841]) ).
fof(f843,plain,
( sQ164_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f805,f66]) ).
fof(f844,plain,
sQ164_spl,
inference(contradiction_clause,[status(thm)],[f843]) ).
fof(f845,plain,
( sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f798,f65]) ).
fof(f846,plain,
sQ162_spl,
inference(contradiction_clause,[status(thm)],[f845]) ).
fof(f847,plain,
( sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f791,f64]) ).
fof(f848,plain,
sQ160_spl,
inference(contradiction_clause,[status(thm)],[f847]) ).
fof(f849,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ greater(X1,e_4)
| ~ greater(e_5,X0)
| ~ next(e_5,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f406]) ).
fof(f850,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ greater(X1,e_4)
| ~ greater(e_5,X0)
| ~ next(e_5,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f146]) ).
fof(f851,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ greater(X1,e_1)
| ~ greater(e_5,X0)
| ~ next(e_5,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f153]) ).
fof(f852,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ greater(X1,e_2)
| ~ greater(e_5,X0)
| ~ next(e_5,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f156]) ).
fof(f853,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ greater(X1,e_3)
| ~ greater(e_5,X0)
| ~ next(e_5,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f159]) ).
fof(f854,plain,
! [X0,X1] :
( ~ sQ9_spl
| ~ greater(X1,e_4)
| ~ greater(e_5,X0)
| ~ next(e_5,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f162]) ).
fof(f855,plain,
! [X0,X1] :
( ~ sQ121_spl
| ~ greater(X1,e_1)
| ~ greater(e_5,X0)
| ~ next(e_5,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f551]) ).
fof(f856,plain,
! [X0,X1] :
( ~ sQ122_spl
| ~ greater(X1,e_2)
| ~ greater(e_5,X0)
| ~ next(e_5,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f554]) ).
fof(f857,plain,
! [X0,X1] :
( ~ sQ123_spl
| ~ greater(X1,e_3)
| ~ greater(e_5,X0)
| ~ next(e_5,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f557]) ).
fof(f858,plain,
! [X0,X1] :
( ~ sQ124_spl
| ~ greater(X1,e_4)
| ~ greater(e_5,X0)
| ~ next(e_5,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f560]) ).
fof(f860,definition,
! [X0,X1] :
( sQ172_spl
<=> ( ~ greater(X1,e_4)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f861,plain,
! [X0,X1] :
( ~ sQ172_spl
| ~ greater(X1,e_4)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f863,definition,
( sQ173_spl
<=> next(e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f865,plain,
( sQ173_spl
| ~ next(e_5,e_4) ),
inference(component_clause,[status(thm)],[f863]) ).
fof(f866,plain,
( ~ sQ79_spl
| ~ sQ173_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f849,f860,f863,f405]) ).
fof(f867,definition,
( sQ174_spl
<=> next(e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( sQ174_spl
| ~ next(e_5,e_3) ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f870,plain,
( ~ sQ4_spl
| ~ sQ174_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f850,f860,f867,f145]) ).
fof(f871,definition,
! [X0,X1] :
( sQ175_spl
<=> ( ~ greater(X1,e_1)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f872,plain,
! [X0,X1] :
( ~ sQ175_spl
| ~ greater(X1,e_1)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f871]) ).
fof(f874,definition,
( sQ176_spl
<=> next(e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f876,plain,
( sQ176_spl
| ~ next(e_5,e_2) ),
inference(component_clause,[status(thm)],[f874]) ).
fof(f877,plain,
( ~ sQ6_spl
| ~ sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f851,f871,f874,f152]) ).
fof(f878,definition,
! [X0,X1] :
( sQ177_spl
<=> ( ~ greater(X1,e_2)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f879,plain,
! [X0,X1] :
( ~ sQ177_spl
| ~ greater(X1,e_2)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f881,plain,
( ~ sQ7_spl
| ~ sQ176_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f852,f878,f874,f155]) ).
fof(f882,definition,
! [X0,X1] :
( sQ178_spl
<=> ( ~ greater(X1,e_3)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f883,plain,
! [X0,X1] :
( ~ sQ178_spl
| ~ greater(X1,e_3)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f885,plain,
( ~ sQ8_spl
| ~ sQ176_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f853,f882,f874,f158]) ).
fof(f886,plain,
( ~ sQ9_spl
| ~ sQ176_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f854,f860,f874,f161]) ).
fof(f887,plain,
( ~ sQ121_spl
| ~ sQ151_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f855,f871,f656,f550]) ).
fof(f888,plain,
( ~ sQ122_spl
| ~ sQ151_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f856,f878,f656,f553]) ).
fof(f889,plain,
( ~ sQ123_spl
| ~ sQ151_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f857,f882,f656,f556]) ).
fof(f890,plain,
( ~ sQ124_spl
| ~ sQ151_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f858,f860,f656,f559]) ).
fof(f894,plain,
( ~ sQ6_spl
| ~ sQ150_spl
| ~ greater(e_1,e_0)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f654,f153]) ).
fof(f895,plain,
( ~ sQ150_spl
| ~ greater(e_0,e_0)
| ~ greater(e_5,e_5) ),
inference(resolution,[status(thm)],[f654,f82]) ).
fof(f896,definition,
( sQ179_spl
<=> greater(e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f898,plain,
( sQ179_spl
| ~ greater(e_5,e_2) ),
inference(component_clause,[status(thm)],[f896]) ).
fof(f899,plain,
( ~ sQ6_spl
| ~ sQ150_spl
| ~ sQ160_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f894,f896,f789,f653,f152]) ).
fof(f900,definition,
( sQ180_spl
<=> greater(e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f902,plain,
( sQ180_spl
| ~ greater(e_5,e_5) ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f903,plain,
( ~ sQ150_spl
| ~ sQ170_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f895,f900,f832,f653]) ).
fof(f904,plain,
( sQ179_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f898,f75]) ).
fof(f905,plain,
sQ179_spl,
inference(contradiction_clause,[status(thm)],[f904]) ).
fof(f906,plain,
( ~ sQ153_spl
| ~ sQ10_spl
| ~ greater(e_0,e_0) ),
inference(resolution,[status(thm)],[f166,f667]) ).
fof(f907,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ next(e_1,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f166,f652]) ).
fof(f908,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ next(e_1,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f166,f86]) ).
fof(f909,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ greater(X1,X3)
| ~ greater(e_1,X0)
| ~ next(e_1,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f166,f86]) ).
fof(f910,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ greater(X1,e_0)
| ~ greater(e_5,X0)
| ~ next(e_5,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f166,f651]) ).
fof(f911,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_5) ),
inference(resolution,[status(thm)],[f166,f649]) ).
fof(f913,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f166,f86]) ).
fof(f914,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f166,f84]) ).
fof(f915,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f166,f80]) ).
fof(f916,definition,
! [X0,X1] :
( sQ181_spl
<=> ( ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f917,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f919,definition,
( sQ182_spl
<=> next(e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f921,plain,
( sQ182_spl
| ~ next(e_1,e_5) ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f922,plain,
( ~ sQ10_spl
| ~ sQ182_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f907,f916,f919,f165]) ).
fof(f923,definition,
( sQ183_spl
<=> next(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f925,plain,
( sQ183_spl
| ~ next(e_1,e_1) ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f926,plain,
( ~ sQ10_spl
| ~ sQ183_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f908,f916,f923,f165]) ).
fof(f927,definition,
( sQ184_spl
<=> next(e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f929,plain,
( sQ184_spl
| ~ next(e_5,e_1) ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f930,plain,
( ~ sQ10_spl
| ~ sQ184_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f910,f653,f927,f165]) ).
fof(f931,plain,
( ~ sQ10_spl
| sQ171_spl
| ~ sQ170_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f911,f919,f832,f835,f165]) ).
fof(f933,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ greater(X1,e_3)
| ~ greater(e_5,X0)
| ~ next(e_5,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f143,f651]) ).
fof(f934,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_3,e_5) ),
inference(resolution,[status(thm)],[f143,f649]) ).
fof(f935,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f143,f86]) ).
fof(f936,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f143,f84]) ).
fof(f937,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f143,f80]) ).
fof(f938,plain,
( ~ sQ3_spl
| ~ sQ174_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f933,f882,f867,f142]) ).
fof(f939,plain,
( ~ sQ3_spl
| sQ165_spl
| ~ sQ164_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f934,f817,f803,f806,f142]) ).
fof(f940,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ greater(X1,e_2)
| ~ greater(e_5,X0)
| ~ next(e_5,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f140,f651]) ).
fof(f941,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_3,e_5) ),
inference(resolution,[status(thm)],[f140,f649]) ).
fof(f942,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f140,f86]) ).
fof(f943,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f140,f84]) ).
fof(f944,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_2)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f140,f80]) ).
fof(f945,plain,
( ~ sQ2_spl
| ~ sQ174_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f940,f878,f867,f139]) ).
fof(f946,plain,
( ~ sQ2_spl
| sQ163_spl
| ~ sQ162_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f941,f817,f796,f799,f139]) ).
fof(f947,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ greater(X1,e_1)
| ~ greater(e_5,X0)
| ~ next(e_5,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f137,f651]) ).
fof(f948,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_5) ),
inference(resolution,[status(thm)],[f137,f649]) ).
fof(f949,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f137,f86]) ).
fof(f950,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f137,f84]) ).
fof(f951,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_1)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f137,f80]) ).
fof(f952,plain,
( ~ sQ1_spl
| ~ sQ174_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f947,f871,f867,f136]) ).
fof(f953,plain,
( ~ sQ1_spl
| sQ161_spl
| ~ sQ160_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f948,f817,f789,f792,f136]) ).
fof(f954,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ next(e_3,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f134,f652]) ).
fof(f955,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ next(e_3,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f134,f86]) ).
fof(f956,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ greater(X1,X3)
| ~ greater(e_3,X0)
| ~ next(e_3,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f134,f86]) ).
fof(f957,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ greater(X1,e_0)
| ~ greater(e_5,X0)
| ~ next(e_5,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f134,f651]) ).
fof(f958,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_5) ),
inference(resolution,[status(thm)],[f134,f649]) ).
fof(f960,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f134,f86]) ).
fof(f961,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f134,f84]) ).
fof(f962,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f134,f80]) ).
fof(f963,definition,
! [X0,X1] :
( sQ185_spl
<=> ( ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f964,plain,
! [X0,X1] :
( ~ sQ185_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f966,plain,
( ~ sQ0_spl
| ~ sQ168_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f954,f963,f817,f133]) ).
fof(f967,definition,
( sQ186_spl
<=> next(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f969,plain,
( sQ186_spl
| ~ next(e_3,e_3) ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f970,plain,
( ~ sQ0_spl
| ~ sQ186_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f955,f963,f967,f133]) ).
fof(f971,plain,
( ~ sQ0_spl
| ~ sQ174_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f957,f653,f867,f133]) ).
fof(f972,plain,
( ~ sQ0_spl
| sQ171_spl
| ~ sQ170_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f958,f817,f832,f835,f133]) ).
fof(f974,plain,
! [X0,X1] :
( ~ sQ78_spl
| ~ greater(X1,e_3)
| ~ greater(e_5,X0)
| ~ next(e_5,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f403,f651]) ).
fof(f979,plain,
( ~ sQ78_spl
| ~ sQ173_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f974,f882,f863,f402]) ).
fof(f988,plain,
( ~ sQ7_spl
| ~ sQ150_spl
| ~ greater(e_2,e_0)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f654,f156]) ).
fof(f989,plain,
( ~ sQ10_spl
| ~ sQ150_spl
| ~ greater(e_0,e_0)
| ~ greater(e_5,e_1) ),
inference(resolution,[status(thm)],[f654,f166]) ).
fof(f991,plain,
( ~ sQ7_spl
| ~ sQ150_spl
| ~ sQ162_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f988,f896,f796,f653,f155]) ).
fof(f992,definition,
( sQ187_spl
<=> greater(e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f994,plain,
( sQ187_spl
| ~ greater(e_5,e_1) ),
inference(component_clause,[status(thm)],[f992]) ).
fof(f995,plain,
( ~ sQ10_spl
| ~ sQ150_spl
| ~ sQ170_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f989,f992,f832,f653,f165]) ).
fof(f997,plain,
( sQ187_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f994,f72]) ).
fof(f998,plain,
sQ187_spl,
inference(contradiction_clause,[status(thm)],[f997]) ).
fof(f999,plain,
( ~ sQ150_spl
| ~ sQ3_spl
| ~ greater(e_3,e_0)
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f143,f654]) ).
fof(f1005,definition,
( sQ188_spl
<=> greater(e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1007,plain,
( sQ188_spl
| ~ greater(e_5,e_3) ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1008,plain,
( ~ sQ150_spl
| ~ sQ3_spl
| ~ sQ164_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f999,f1005,f803,f142,f653]) ).
fof(f1011,plain,
( sQ188_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1007,f77]) ).
fof(f1012,plain,
sQ188_spl,
inference(contradiction_clause,[status(thm)],[f1011]) ).
fof(f1013,plain,
( ~ sQ150_spl
| ~ sQ77_spl
| ~ greater(e_2,e_0)
| ~ greater(e_5,e_4) ),
inference(resolution,[status(thm)],[f400,f654]) ).
fof(f1014,plain,
! [X0,X1] :
( ~ sQ77_spl
| ~ greater(X1,e_2)
| ~ greater(e_5,X0)
| ~ next(e_5,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f400,f651]) ).
fof(f1019,definition,
( sQ189_spl
<=> greater(e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1021,plain,
( sQ189_spl
| ~ greater(e_5,e_4) ),
inference(component_clause,[status(thm)],[f1019]) ).
fof(f1022,plain,
( ~ sQ150_spl
| ~ sQ77_spl
| ~ sQ162_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f1013,f1019,f796,f399,f653]) ).
fof(f1023,plain,
( ~ sQ77_spl
| ~ sQ173_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1014,f878,f863,f399]) ).
fof(f1025,plain,
( sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1021,f78]) ).
fof(f1026,plain,
sQ189_spl,
inference(contradiction_clause,[status(thm)],[f1025]) ).
fof(f1027,plain,
( ~ sQ150_spl
| ~ sQ8_spl
| ~ greater(e_3,e_0)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f159,f654]) ).
fof(f1033,plain,
( ~ sQ150_spl
| ~ sQ8_spl
| ~ sQ164_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f1027,f896,f803,f158,f653]) ).
fof(f1036,plain,
( ~ sQ150_spl
| ~ sQ2_spl
| ~ greater(e_2,e_0)
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f140,f654]) ).
fof(f1042,plain,
( ~ sQ150_spl
| ~ sQ2_spl
| ~ sQ162_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f1036,f1005,f796,f139,f653]) ).
fof(f1045,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ next(e_4,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f394,f652]) ).
fof(f1048,plain,
( ~ sQ150_spl
| ~ sQ75_spl
| ~ greater(e_0,e_0)
| ~ greater(e_5,e_4) ),
inference(resolution,[status(thm)],[f394,f654]) ).
fof(f1049,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ greater(X1,e_0)
| ~ greater(e_5,X0)
| ~ next(e_5,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f394,f651]) ).
fof(f1050,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_5) ),
inference(resolution,[status(thm)],[f394,f649]) ).
fof(f1055,plain,
( ~ sQ75_spl
| ~ sQ159_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1045,f747,f786,f393]) ).
fof(f1057,plain,
( ~ sQ150_spl
| ~ sQ75_spl
| ~ sQ170_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f1048,f1019,f832,f393,f653]) ).
fof(f1058,plain,
( ~ sQ75_spl
| ~ sQ173_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1049,f653,f863,f393]) ).
fof(f1059,plain,
( ~ sQ75_spl
| sQ171_spl
| ~ sQ170_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f1050,f786,f832,f835,f393]) ).
fof(f1061,plain,
( ~ sQ150_spl
| ~ sQ9_spl
| ~ greater(e_4,e_0)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f162,f654]) ).
fof(f1067,plain,
( ~ sQ150_spl
| ~ sQ9_spl
| ~ sQ166_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f1061,f896,f810,f161,f653]) ).
fof(f1070,plain,
( ~ sQ150_spl
| ~ sQ1_spl
| ~ greater(e_1,e_0)
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f137,f654]) ).
fof(f1076,plain,
( ~ sQ150_spl
| ~ sQ1_spl
| ~ sQ160_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f1070,f1005,f789,f136,f653]) ).
fof(f1079,plain,
( ~ sQ150_spl
| ~ sQ79_spl
| ~ greater(e_4,e_0)
| ~ greater(e_5,e_4) ),
inference(resolution,[status(thm)],[f406,f654]) ).
fof(f1085,plain,
( ~ sQ150_spl
| ~ sQ79_spl
| ~ sQ166_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f1079,f1019,f810,f405,f653]) ).
fof(f1088,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ greater(X1,e_0)
| ~ greater(e_2,X0)
| ~ next(e_2,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f150,f652]) ).
fof(f1091,plain,
( ~ sQ150_spl
| ~ sQ5_spl
| ~ greater(e_0,e_0)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f150,f654]) ).
fof(f1092,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ greater(X1,e_0)
| ~ greater(e_5,X0)
| ~ next(e_5,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f150,f651]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_2,e_5) ),
inference(resolution,[status(thm)],[f150,f649]) ).
fof(f1098,plain,
( ~ sQ5_spl
| ~ sQ169_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f1088,f718,f821,f149]) ).
fof(f1100,plain,
( ~ sQ150_spl
| ~ sQ5_spl
| ~ sQ170_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f1091,f896,f832,f149,f653]) ).
fof(f1101,plain,
( ~ sQ5_spl
| ~ sQ176_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1092,f653,f874,f149]) ).
fof(f1102,plain,
( ~ sQ5_spl
| sQ171_spl
| ~ sQ170_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f1093,f821,f832,f835,f149]) ).
fof(f1107,plain,
( ~ sQ150_spl
| ~ sQ0_spl
| ~ greater(e_0,e_0)
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f134,f654]) ).
fof(f1116,plain,
( ~ sQ150_spl
| ~ sQ0_spl
| ~ sQ170_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f1107,f1005,f832,f133,f653]) ).
fof(f1120,plain,
( ~ sQ150_spl
| ~ sQ78_spl
| ~ greater(e_3,e_0)
| ~ greater(e_5,e_4) ),
inference(resolution,[status(thm)],[f403,f654]) ).
fof(f1126,plain,
( ~ sQ150_spl
| ~ sQ78_spl
| ~ sQ164_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f1120,f1019,f803,f402,f653]) ).
fof(f1145,plain,
! [X0,X1] :
( ~ sQ29_spl
| equalish(e_5,X1)
| ~ next(e_3,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f232,f89]) ).
fof(f1146,plain,
( ~ sQ29_spl
| ~ greater(e_5,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f232,f87]) ).
fof(f1147,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f232,f121]) ).
fof(f1148,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f232,f119]) ).
fof(f1149,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f232,f117]) ).
fof(f1150,plain,
! [X0] :
( ~ sQ29_spl
| product(e_5,e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f232,f124]) ).
fof(f1151,definition,
! [X0] :
( sQ190_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ190_spl
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(component_clause,[status(thm)],[f1151]) ).
fof(f1154,definition,
! [X1] :
( sQ191_spl
<=> ( equalish(e_5,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ191_spl
| equalish(e_5,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f1154]) ).
fof(f1157,plain,
( ~ sQ29_spl
| sQ191_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1145,f1151,f1154,f231]) ).
fof(f1158,plain,
( ~ sQ29_spl
| ~ sQ188_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1146,f133,f1005,f231]) ).
fof(f1159,plain,
! [X0,X1] :
( ~ sQ28_spl
| equalish(e_4,X1)
| ~ next(e_3,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f229,f89]) ).
fof(f1160,plain,
( ~ sQ28_spl
| ~ greater(e_4,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f229,f87]) ).
fof(f1161,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f229,f121]) ).
fof(f1162,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f229,f119]) ).
fof(f1163,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f229,f117]) ).
fof(f1164,plain,
! [X0] :
( ~ sQ28_spl
| product(e_4,e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f229,f124]) ).
fof(f1165,definition,
! [X1] :
( sQ192_spl
<=> ( equalish(e_4,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1166,plain,
! [X0] :
( ~ sQ192_spl
| equalish(e_4,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f1165]) ).
fof(f1168,plain,
( ~ sQ28_spl
| sQ192_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1159,f1151,f1165,f228]) ).
fof(f1169,definition,
( sQ193_spl
<=> greater(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1171,plain,
( sQ193_spl
| ~ greater(e_4,e_3) ),
inference(component_clause,[status(thm)],[f1169]) ).
fof(f1172,plain,
( ~ sQ28_spl
| ~ sQ193_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1160,f133,f1169,f228]) ).
fof(f1173,plain,
( sQ193_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1171,f76]) ).
fof(f1174,plain,
sQ193_spl,
inference(contradiction_clause,[status(thm)],[f1173]) ).
fof(f1177,plain,
( ~ sQ27_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f226,f128]) ).
fof(f1178,plain,
( ~ sQ27_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f226,f126]) ).
fof(f1179,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f226,f121]) ).
fof(f1180,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f226,f119]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f226,f117]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ27_spl
| product(e_3,e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f226,f124]) ).
fof(f1183,definition,
! [X1] :
( sQ194_spl
<=> ( equalish(e_3,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1184,plain,
! [X0] :
( ~ sQ194_spl
| equalish(e_3,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f1183]) ).
fof(f1187,definition,
( sQ195_spl
<=> greater(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1189,plain,
( sQ195_spl
| ~ greater(e_3,e_3) ),
inference(component_clause,[status(thm)],[f1187]) ).
fof(f1191,plain,
( ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1177,f96]) ).
fof(f1192,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f1191]) ).
fof(f1193,plain,
! [X0,X1] :
( ~ sQ26_spl
| equalish(e_2,X1)
| ~ next(e_3,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f223,f89]) ).
fof(f1194,plain,
( ~ sQ26_spl
| ~ greater(e_2,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f223,f87]) ).
fof(f1195,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f223,f121]) ).
fof(f1196,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f223,f119]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f223,f117]) ).
fof(f1198,plain,
! [X0] :
( ~ sQ26_spl
| product(e_2,e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f223,f124]) ).
fof(f1199,definition,
! [X1] :
( sQ196_spl
<=> ( equalish(e_2,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ196_spl
| equalish(e_2,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f1199]) ).
fof(f1202,plain,
( ~ sQ26_spl
| sQ196_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1193,f1151,f1199,f222]) ).
fof(f1203,definition,
( sQ197_spl
<=> greater(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1205,plain,
( sQ197_spl
| ~ greater(e_2,e_3) ),
inference(component_clause,[status(thm)],[f1203]) ).
fof(f1206,plain,
( ~ sQ26_spl
| ~ sQ197_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1194,f133,f1203,f222]) ).
fof(f1209,plain,
( ~ sQ25_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f220,f129]) ).
fof(f1210,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f220,f121]) ).
fof(f1211,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f220,f119]) ).
fof(f1212,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f220,f117]) ).
fof(f1213,plain,
! [X0] :
( ~ sQ25_spl
| product(e_1,e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f220,f124]) ).
fof(f1214,definition,
! [X1] :
( sQ198_spl
<=> ( equalish(e_1,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1215,plain,
! [X0] :
( ~ sQ198_spl
| equalish(e_1,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f1214]) ).
fof(f1218,definition,
( sQ199_spl
<=> greater(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1220,plain,
( sQ199_spl
| ~ greater(e_1,e_3) ),
inference(component_clause,[status(thm)],[f1218]) ).
fof(f1222,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1209,f103]) ).
fof(f1223,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f1222]) ).
fof(f1224,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f216,f121]) ).
fof(f1225,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f216,f119]) ).
fof(f1226,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f216,f117]) ).
fof(f1227,plain,
! [X0] :
( ~ sQ24_spl
| product(e_5,e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f216,f124]) ).
fof(f1231,plain,
( ~ sQ24_spl
| ~ sQ23_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f213,f1226]) ).
fof(f1232,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f213,f121]) ).
fof(f1233,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f213,f119]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f213,f117]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ23_spl
| product(e_4,e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f213,f124]) ).
fof(f1236,plain,
( ~ sQ24_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1231,f110]) ).
fof(f1237,plain,
( ~ sQ24_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1236]) ).
fof(f1238,plain,
( ~ sQ22_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f210,f128]) ).
fof(f1239,plain,
( ~ sQ22_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f210,f126]) ).
fof(f1240,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f210,f121]) ).
fof(f1241,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f210,f119]) ).
fof(f1242,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f210,f117]) ).
fof(f1243,plain,
! [X0] :
( ~ sQ22_spl
| product(e_3,e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f210,f124]) ).
fof(f1244,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1238,f100]) ).
fof(f1245,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f1244]) ).
fof(f1247,plain,
( ~ sQ21_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f207,f129]) ).
fof(f1248,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f207,f121]) ).
fof(f1249,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f207,f119]) ).
fof(f1250,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f207,f117]) ).
fof(f1251,plain,
! [X0] :
( ~ sQ21_spl
| product(e_2,e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f207,f124]) ).
fof(f1254,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f204,f121]) ).
fof(f1255,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f204,f119]) ).
fof(f1256,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f204,f117]) ).
fof(f1257,plain,
! [X0] :
( ~ sQ20_spl
| product(e_1,e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f204,f124]) ).
fof(f1261,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f200,f121]) ).
fof(f1262,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f200,f119]) ).
fof(f1263,plain,
( ~ sQ19_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f200,f125]) ).
fof(f1264,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_5)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f200,f117]) ).
fof(f1265,plain,
! [X0] :
( ~ sQ19_spl
| product(e_5,e_3,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f200,f124]) ).
fof(f1266,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1263,f113]) ).
fof(f1267,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f1266]) ).
fof(f1268,plain,
! [X0,X1] :
( ~ sQ44_spl
| equalish(e_5,X1)
| ~ next(e_2,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f283,f89]) ).
fof(f1269,plain,
( ~ sQ44_spl
| ~ greater(e_5,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f283,f87]) ).
fof(f1270,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f283,f121]) ).
fof(f1271,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f283,f119]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f283,f117]) ).
fof(f1273,plain,
! [X0] :
( ~ sQ44_spl
| product(e_5,e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f283,f124]) ).
fof(f1274,definition,
! [X0] :
( sQ200_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ200_spl
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(component_clause,[status(thm)],[f1274]) ).
fof(f1277,definition,
! [X1] :
( sQ201_spl
<=> ( equalish(e_5,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1278,plain,
! [X0] :
( ~ sQ201_spl
| equalish(e_5,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f1277]) ).
fof(f1280,plain,
( ~ sQ44_spl
| sQ201_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1268,f1274,f1277,f282]) ).
fof(f1281,plain,
( ~ sQ44_spl
| ~ sQ179_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1269,f149,f896,f282]) ).
fof(f1282,plain,
! [X0,X1] :
( ~ sQ43_spl
| equalish(e_4,X1)
| ~ next(e_2,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f280,f89]) ).
fof(f1283,plain,
( ~ sQ43_spl
| ~ greater(e_4,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f280,f87]) ).
fof(f1284,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f280,f121]) ).
fof(f1285,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f280,f119]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f280,f117]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ43_spl
| product(e_4,e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f280,f124]) ).
fof(f1288,definition,
! [X1] :
( sQ202_spl
<=> ( equalish(e_4,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1289,plain,
! [X0] :
( ~ sQ202_spl
| equalish(e_4,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1291,plain,
( ~ sQ43_spl
| sQ202_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1282,f1274,f1288,f279]) ).
fof(f1292,definition,
( sQ203_spl
<=> greater(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1294,plain,
( sQ203_spl
| ~ greater(e_4,e_2) ),
inference(component_clause,[status(thm)],[f1292]) ).
fof(f1295,plain,
( ~ sQ43_spl
| ~ sQ203_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1283,f149,f1292,f279]) ).
fof(f1296,plain,
( sQ203_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1294,f74]) ).
fof(f1297,plain,
sQ203_spl,
inference(contradiction_clause,[status(thm)],[f1296]) ).
fof(f1298,plain,
( ~ sQ20_spl
| ~ sQ42_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f277,f1257]) ).
fof(f1299,plain,
! [X0,X1] :
( ~ sQ42_spl
| equalish(e_3,X1)
| ~ next(e_2,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f277,f89]) ).
fof(f1300,plain,
( ~ sQ42_spl
| ~ greater(e_3,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f277,f87]) ).
fof(f1301,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f277,f121]) ).
fof(f1302,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f277,f119]) ).
fof(f1303,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f277,f117]) ).
fof(f1304,plain,
! [X0] :
( ~ sQ42_spl
| product(e_3,e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f277,f124]) ).
fof(f1305,definition,
! [X1] :
( sQ204_spl
<=> ( equalish(e_3,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1306,plain,
! [X0] :
( ~ sQ204_spl
| equalish(e_3,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f1305]) ).
fof(f1308,plain,
( ~ sQ42_spl
| sQ204_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1299,f1274,f1305,f276]) ).
fof(f1309,definition,
( sQ205_spl
<=> greater(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1311,plain,
( sQ205_spl
| ~ greater(e_3,e_2) ),
inference(component_clause,[status(thm)],[f1309]) ).
fof(f1312,plain,
( ~ sQ42_spl
| ~ sQ205_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1300,f149,f1309,f276]) ).
fof(f1313,plain,
( sQ205_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1311,f73]) ).
fof(f1314,plain,
sQ205_spl,
inference(contradiction_clause,[status(thm)],[f1313]) ).
fof(f1318,plain,
( ~ sQ41_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f274,f128]) ).
fof(f1319,plain,
( ~ sQ41_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f274,f126]) ).
fof(f1320,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f274,f121]) ).
fof(f1321,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f274,f119]) ).
fof(f1322,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f274,f117]) ).
fof(f1323,plain,
! [X0] :
( ~ sQ41_spl
| product(e_2,e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f274,f124]) ).
fof(f1328,plain,
( ~ sQ40_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f271,f129]) ).
fof(f1329,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f271,f121]) ).
fof(f1330,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f271,f119]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f271,f117]) ).
fof(f1332,plain,
! [X0] :
( ~ sQ40_spl
| product(e_1,e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f271,f124]) ).
fof(f1333,definition,
! [X1] :
( sQ206_spl
<=> ( equalish(e_1,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1334,plain,
! [X0] :
( ~ sQ206_spl
| equalish(e_1,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f1333]) ).
fof(f1337,definition,
( sQ207_spl
<=> greater(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1339,plain,
( sQ207_spl
| ~ greater(e_1,e_2) ),
inference(component_clause,[status(thm)],[f1337]) ).
fof(f1341,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1328,f99]) ).
fof(f1342,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f1341]) ).
fof(f1343,definition,
! [X1] :
( sQ208_spl
<=> ( equalish(e_2,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1344,plain,
! [X0] :
( ~ sQ208_spl
| equalish(e_2,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f1343]) ).
fof(f1347,definition,
( sQ209_spl
<=> greater(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1349,plain,
( sQ209_spl
| ~ greater(e_2,e_2) ),
inference(component_clause,[status(thm)],[f1347]) ).
fof(f1351,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1318,f95]) ).
fof(f1352,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f1351]) ).
fof(f1374,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f267,f121]) ).
fof(f1375,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f267,f119]) ).
fof(f1376,plain,
( ~ sQ39_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f267,f125]) ).
fof(f1377,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f267,f117]) ).
fof(f1378,plain,
! [X0] :
( ~ sQ39_spl
| product(e_5,e_2,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f267,f124]) ).
fof(f1379,plain,
( ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1376,f112]) ).
fof(f1380,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f1379]) ).
fof(f1381,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f264,f121]) ).
fof(f1382,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f264,f119]) ).
fof(f1383,plain,
( ~ sQ38_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f264,f125]) ).
fof(f1384,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f264,f117]) ).
fof(f1385,plain,
! [X0] :
( ~ sQ38_spl
| product(e_4,e_2,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f264,f124]) ).
fof(f1386,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1383,f108]) ).
fof(f1387,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f1386]) ).
fof(f1389,plain,
( ~ sQ20_spl
| ~ sQ37_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f261,f1257]) ).
fof(f1390,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f261,f121]) ).
fof(f1391,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f261,f119]) ).
fof(f1392,plain,
( ~ sQ37_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f261,f125]) ).
fof(f1393,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f261,f117]) ).
fof(f1394,plain,
! [X0] :
( ~ sQ37_spl
| product(e_3,e_2,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f261,f124]) ).
fof(f1397,plain,
( ~ sQ20_spl
| ~ sQ35_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f255,f1254]) ).
fof(f1398,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f255,f121]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f255,f119]) ).
fof(f1400,plain,
( ~ sQ35_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f255,f125]) ).
fof(f1401,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f255,f117]) ).
fof(f1402,plain,
! [X0] :
( ~ sQ35_spl
| product(e_1,e_2,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f255,f124]) ).
fof(f1403,plain,
( ~ sQ20_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1397,f100]) ).
fof(f1404,plain,
( ~ sQ20_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1403]) ).
fof(f1405,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f251,f121]) ).
fof(f1406,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f251,f119]) ).
fof(f1407,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f251,f117]) ).
fof(f1408,plain,
! [X0] :
( ~ sQ34_spl
| product(e_5,e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f251,f124]) ).
fof(f1412,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f248,f1407]) ).
fof(f1413,plain,
( ~ sQ43_spl
| ~ sQ33_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f248,f1285]) ).
fof(f1414,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f248,f121]) ).
fof(f1415,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f248,f119]) ).
fof(f1416,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f248,f117]) ).
fof(f1417,plain,
! [X0] :
( ~ sQ33_spl
| product(e_4,e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f248,f124]) ).
fof(f1418,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1412,f110]) ).
fof(f1419,plain,
( ~ sQ34_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1418]) ).
fof(f1421,plain,
( ~ sQ20_spl
| ~ sQ32_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f245,f1257]) ).
fof(f1422,plain,
( ~ sQ32_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f245,f129]) ).
fof(f1423,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f245,f121]) ).
fof(f1424,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f245,f119]) ).
fof(f1425,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f245,f117]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ32_spl
| product(e_3,e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f245,f124]) ).
fof(f1429,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1422,f100]) ).
fof(f1430,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f1429]) ).
fof(f1431,plain,
( ~ sQ43_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1413,f103]) ).
fof(f1432,plain,
( ~ sQ43_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1431]) ).
fof(f1433,plain,
( ~ sQ31_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f242,f128]) ).
fof(f1434,plain,
( ~ sQ31_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f242,f126]) ).
fof(f1435,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f242,f121]) ).
fof(f1436,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f242,f119]) ).
fof(f1437,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f242,f117]) ).
fof(f1438,plain,
! [X0] :
( ~ sQ31_spl
| product(e_2,e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f242,f124]) ).
fof(f1439,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1433,f104]) ).
fof(f1440,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f1439]) ).
fof(f1441,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f239,f121]) ).
fof(f1442,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f239,f119]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f239,f117]) ).
fof(f1444,plain,
! [X0] :
( ~ sQ30_spl
| product(e_1,e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f239,f124]) ).
fof(f1450,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f334,f121]) ).
fof(f1451,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f334,f119]) ).
fof(f1452,plain,
( ~ sQ59_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f334,f125]) ).
fof(f1453,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_5)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f334,f117]) ).
fof(f1454,plain,
! [X0] :
( ~ sQ59_spl
| product(e_5,e_1,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f334,f124]) ).
fof(f1455,definition,
! [X1] :
( sQ210_spl
<=> ( equalish(e_5,X1)
| ~ next(e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1456,plain,
! [X0] :
( ~ sQ210_spl
| equalish(e_5,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f1455]) ).
fof(f1460,plain,
( ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1452,f111]) ).
fof(f1461,plain,
~ sQ59_spl,
inference(contradiction_clause,[status(thm)],[f1460]) ).
fof(f1462,plain,
( ~ sQ28_spl
| ~ sQ58_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f331,f1161]) ).
fof(f1463,plain,
! [X0,X1] :
( ~ sQ58_spl
| equalish(e_4,X1)
| ~ next(e_1,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f331,f89]) ).
fof(f1464,plain,
( ~ sQ58_spl
| ~ greater(e_4,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f331,f87]) ).
fof(f1465,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f331,f121]) ).
fof(f1466,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f331,f119]) ).
fof(f1467,plain,
( ~ sQ58_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f331,f125]) ).
fof(f1468,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f331,f117]) ).
fof(f1469,plain,
! [X0] :
( ~ sQ58_spl
| product(e_4,e_1,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f331,f124]) ).
fof(f1470,plain,
( ~ sQ28_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1462,f96]) ).
fof(f1471,plain,
( ~ sQ28_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1470]) ).
fof(f1472,plain,
( ~ sQ26_spl
| ~ sQ57_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f328,f1198]) ).
fof(f1473,plain,
( ~ sQ42_spl
| ~ sQ57_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f328,f1301]) ).
fof(f1474,plain,
! [X0,X1] :
( ~ sQ57_spl
| equalish(e_3,X1)
| ~ next(e_1,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f328,f89]) ).
fof(f1475,plain,
( ~ sQ57_spl
| ~ greater(e_3,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f328,f87]) ).
fof(f1476,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f328,f121]) ).
fof(f1477,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f328,f119]) ).
fof(f1478,plain,
( ~ sQ57_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f328,f125]) ).
fof(f1479,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f328,f117]) ).
fof(f1480,plain,
! [X0] :
( ~ sQ57_spl
| product(e_3,e_1,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f328,f124]) ).
fof(f1481,plain,
( ~ sQ26_spl
| ~ sQ57_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1472,f270,f327,f222]) ).
fof(f1482,plain,
( ~ sQ42_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1473,f95]) ).
fof(f1483,plain,
( ~ sQ42_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1482]) ).
fof(f1484,plain,
( ~ sQ42_spl
| ~ sQ56_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f325,f1304]) ).
fof(f1485,plain,
( ~ sQ26_spl
| ~ sQ56_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f325,f1195]) ).
fof(f1486,plain,
! [X0,X1] :
( ~ sQ56_spl
| equalish(e_2,X1)
| ~ next(e_1,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f325,f89]) ).
fof(f1487,plain,
( ~ sQ56_spl
| ~ greater(e_2,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f325,f87]) ).
fof(f1488,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f325,f121]) ).
fof(f1489,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f325,f119]) ).
fof(f1490,plain,
( ~ sQ56_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f325,f125]) ).
fof(f1491,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f325,f117]) ).
fof(f1492,plain,
! [X0] :
( ~ sQ56_spl
| product(e_2,e_1,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f325,f124]) ).
fof(f1493,plain,
( ~ sQ42_spl
| ~ sQ56_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1484,f219,f324,f276]) ).
fof(f1494,plain,
( ~ sQ26_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1485,f96]) ).
fof(f1495,plain,
( ~ sQ26_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1494]) ).
fof(f1496,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f318,f121]) ).
fof(f1497,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f318,f119]) ).
fof(f1498,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f318,f117]) ).
fof(f1499,plain,
! [X0] :
( ~ sQ54_spl
| product(e_5,e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f318,f124]) ).
fof(f1503,plain,
( ~ sQ30_spl
| ~ sQ54_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f1499,f239]) ).
fof(f1504,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f315,f1498]) ).
fof(f1505,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f315,f121]) ).
fof(f1506,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f315,f119]) ).
fof(f1507,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f315,f117]) ).
fof(f1508,plain,
! [X0] :
( ~ sQ53_spl
| product(e_4,e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f315,f124]) ).
fof(f1509,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1504,f110]) ).
fof(f1510,plain,
( ~ sQ54_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1509]) ).
fof(f1511,plain,
( ~ sQ26_spl
| ~ sQ52_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f312,f1198]) ).
fof(f1512,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f312,f121]) ).
fof(f1513,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f312,f119]) ).
fof(f1514,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f312,f117]) ).
fof(f1515,plain,
! [X0] :
( ~ sQ52_spl
| product(e_3,e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f312,f124]) ).
fof(f1516,plain,
( ~ sQ26_spl
| ~ sQ52_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f1511,f273,f311,f222]) ).
fof(f1517,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1247,f104]) ).
fof(f1518,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f1517]) ).
fof(f1520,plain,
( ~ sQ51_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f309,f129]) ).
fof(f1521,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f309,f121]) ).
fof(f1522,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f309,f119]) ).
fof(f1523,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f309,f117]) ).
fof(f1524,plain,
! [X0] :
( ~ sQ51_spl
| product(e_2,e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f309,f124]) ).
fof(f1526,plain,
( ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1520,f95]) ).
fof(f1527,plain,
~ sQ51_spl,
inference(contradiction_clause,[status(thm)],[f1526]) ).
fof(f1528,plain,
( ~ sQ50_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f306,f128]) ).
fof(f1529,plain,
( ~ sQ50_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f306,f126]) ).
fof(f1530,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f306,f121]) ).
fof(f1531,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f306,f119]) ).
fof(f1532,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f306,f117]) ).
fof(f1533,plain,
! [X0] :
( ~ sQ50_spl
| product(e_1,e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f306,f124]) ).
fof(f1534,plain,
( ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1528,f99]) ).
fof(f1535,plain,
~ sQ50_spl,
inference(contradiction_clause,[status(thm)],[f1534]) ).
fof(f1536,plain,
( ~ sQ20_spl
| ~ sQ42_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f1298,f305,f276,f203]) ).
fof(f1537,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f302,f121]) ).
fof(f1538,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f302,f119]) ).
fof(f1539,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f302,f117]) ).
fof(f1540,plain,
! [X0] :
( ~ sQ49_spl
| product(e_5,e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f302,f124]) ).
fof(f1541,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f299,f121]) ).
fof(f1542,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f299,f119]) ).
fof(f1543,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f299,f117]) ).
fof(f1544,plain,
! [X0] :
( ~ sQ48_spl
| product(e_4,e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f299,f124]) ).
fof(f1545,plain,
( ~ sQ30_spl
| ~ sQ52_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f1515,f239]) ).
fof(f1546,plain,
( ~ sQ30_spl
| ~ sQ52_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f1545,f209,f311,f238]) ).
fof(f1549,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1539,f299]) ).
fof(f1551,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1549,f110]) ).
fof(f1552,plain,
( ~ sQ48_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1551]) ).
fof(f1553,plain,
( ~ sQ26_spl
| ~ sQ47_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f296,f1198]) ).
fof(f1554,plain,
( ~ sQ47_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f296,f129]) ).
fof(f1555,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f296,f121]) ).
fof(f1556,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f296,f119]) ).
fof(f1557,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f296,f117]) ).
fof(f1558,plain,
! [X0] :
( ~ sQ47_spl
| product(e_3,e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f296,f124]) ).
fof(f1559,plain,
( ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1554,f96]) ).
fof(f1560,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f1559]) ).
fof(f1561,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f293,f1304]) ).
fof(f1562,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f293,f121]) ).
fof(f1563,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f293,f119]) ).
fof(f1564,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f293,f117]) ).
fof(f1565,plain,
! [X0] :
( ~ sQ46_spl
| product(e_2,e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f293,f124]) ).
fof(f1566,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f1561,f225,f292,f276]) ).
fof(f1567,plain,
( ~ sQ45_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f290,f128]) ).
fof(f1568,plain,
( ~ sQ45_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f290,f126]) ).
fof(f1569,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f290,f121]) ).
fof(f1570,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f290,f119]) ).
fof(f1571,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f290,f117]) ).
fof(f1572,plain,
! [X0] :
( ~ sQ45_spl
| product(e_1,e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f290,f124]) ).
fof(f1573,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1567,f103]) ).
fof(f1574,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f1573]) ).
fof(f1578,plain,
! [X0] :
( ~ sQ74_spl
| product(e_5,e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f390,f124]) ).
fof(f1584,plain,
( ~ sQ73_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f387,f129]) ).
fof(f1585,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f387,f121]) ).
fof(f1586,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f387,f119]) ).
fof(f1587,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f387,f117]) ).
fof(f1588,plain,
! [X0] :
( ~ sQ73_spl
| product(e_4,e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f387,f124]) ).
fof(f1591,plain,
( ~ sQ72_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f384,f128]) ).
fof(f1592,plain,
( ~ sQ72_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f384,f126]) ).
fof(f1593,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f384,f121]) ).
fof(f1594,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f384,f119]) ).
fof(f1595,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f384,f117]) ).
fof(f1596,plain,
! [X0] :
( ~ sQ72_spl
| product(e_3,e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f384,f124]) ).
fof(f1597,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1591,f109]) ).
fof(f1598,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f1597]) ).
fof(f1599,plain,
( ~ sQ26_spl
| ~ sQ71_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f381,f1196]) ).
fof(f1600,plain,
( ~ sQ34_spl
| ~ sQ71_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f381,f1408]) ).
fof(f1601,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f381,f121]) ).
fof(f1602,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f381,f119]) ).
fof(f1603,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f381,f117]) ).
fof(f1604,plain,
! [X0] :
( ~ sQ71_spl
| product(e_2,e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f381,f124]) ).
fof(f1605,plain,
( ~ sQ26_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1599,f107]) ).
fof(f1606,plain,
( ~ sQ26_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1605]) ).
fof(f1607,plain,
( ~ sQ48_spl
| ~ sQ70_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f378,f1544]) ).
fof(f1608,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f378,f121]) ).
fof(f1609,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f378,f119]) ).
fof(f1610,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f378,f117]) ).
fof(f1611,plain,
! [X0] :
( ~ sQ70_spl
| product(e_1,e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f378,f124]) ).
fof(f1615,plain,
( ~ sQ34_spl
| ~ sQ69_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f374,f1406]) ).
fof(f1616,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f374,f121]) ).
fof(f1617,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f374,f119]) ).
fof(f1618,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f374,f117]) ).
fof(f1619,plain,
! [X0] :
( ~ sQ69_spl
| product(e_5,e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f374,f124]) ).
fof(f1620,plain,
( ~ sQ34_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1615,f109]) ).
fof(f1621,plain,
( ~ sQ34_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f1620]) ).
fof(f1623,plain,
( ~ sQ68_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f371,f129]) ).
fof(f1624,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f371,f121]) ).
fof(f1625,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f371,f119]) ).
fof(f1626,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f371,f117]) ).
fof(f1627,plain,
! [X0] :
( ~ sQ68_spl
| product(e_4,e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f371,f124]) ).
fof(f1630,plain,
( ~ sQ23_spl
| ~ sQ67_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f368,f1235]) ).
fof(f1631,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f368,f121]) ).
fof(f1632,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f368,f119]) ).
fof(f1633,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f368,f117]) ).
fof(f1634,plain,
! [X0] :
( ~ sQ67_spl
| product(e_3,e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f368,f124]) ).
fof(f1635,plain,
( ~ sQ66_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f365,f128]) ).
fof(f1636,plain,
( ~ sQ66_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f365,f126]) ).
fof(f1637,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f365,f121]) ).
fof(f1638,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f365,f119]) ).
fof(f1639,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f365,f117]) ).
fof(f1640,plain,
! [X0] :
( ~ sQ66_spl
| product(e_2,e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f365,f124]) ).
fof(f1641,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1635,f108]) ).
fof(f1642,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f1641]) ).
fof(f1643,plain,
( ~ sQ53_spl
| ~ sQ65_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f362,f1508]) ).
fof(f1644,plain,
( ~ sQ70_spl
| ~ sQ65_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f362,f1608]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f362,f121]) ).
fof(f1646,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f362,f119]) ).
fof(f1647,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f362,f117]) ).
fof(f1648,plain,
! [X0] :
( ~ sQ65_spl
| product(e_1,e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f362,f124]) ).
fof(f1649,plain,
( ~ sQ70_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1644,f100]) ).
fof(f1650,plain,
( ~ sQ70_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1649]) ).
fof(f1651,plain,
( ~ sQ70_spl
| ~ sQ46_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1565,f378]) ).
fof(f1652,plain,
( ~ sQ70_spl
| ~ sQ46_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f1651,f247,f292,f377]) ).
fof(f1656,plain,
( ~ sQ67_spl
| ~ sQ42_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1302,f368]) ).
fof(f1657,plain,
( ~ sQ67_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1656,f107]) ).
fof(f1658,plain,
( ~ sQ67_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1657]) ).
fof(f1659,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f358,f121]) ).
fof(f1660,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f358,f119]) ).
fof(f1661,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f358,f117]) ).
fof(f1662,plain,
! [X0] :
( ~ sQ64_spl
| product(e_5,e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f358,f124]) ).
fof(f1669,plain,
( ~ sQ63_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f355,f129]) ).
fof(f1670,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f355,f121]) ).
fof(f1671,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f355,f119]) ).
fof(f1672,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f355,f117]) ).
fof(f1673,plain,
! [X0] :
( ~ sQ63_spl
| product(e_4,e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f355,f124]) ).
fof(f1676,plain,
( ~ sQ28_spl
| ~ sQ62_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f352,f1164]) ).
fof(f1677,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f352,f121]) ).
fof(f1678,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f352,f119]) ).
fof(f1679,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f352,f117]) ).
fof(f1680,plain,
! [X0] :
( ~ sQ62_spl
| product(e_3,e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f352,f124]) ).
fof(f1684,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f349,f1679]) ).
fof(f1685,plain,
( ~ sQ42_spl
| ~ sQ61_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f349,f1304]) ).
fof(f1686,plain,
( ~ sQ71_spl
| ~ sQ61_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f349,f1601]) ).
fof(f1687,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f349,f121]) ).
fof(f1688,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f349,f119]) ).
fof(f1690,plain,
! [X0] :
( ~ sQ61_spl
| product(e_2,e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f349,f124]) ).
fof(f1691,plain,
( ~ sQ62_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1684,f100]) ).
fof(f1692,plain,
( ~ sQ62_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1691]) ).
fof(f1694,plain,
( ~ sQ60_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f346,f128]) ).
fof(f1695,plain,
( ~ sQ60_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f346,f126]) ).
fof(f1696,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f346,f121]) ).
fof(f1697,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f346,f119]) ).
fof(f1698,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f346,f117]) ).
fof(f1699,plain,
! [X0] :
( ~ sQ60_spl
| product(e_1,e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f346,f124]) ).
fof(f1702,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1694,f107]) ).
fof(f1703,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1702]) ).
fof(f1704,plain,
( ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1623,f101]) ).
fof(f1705,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f1704]) ).
fof(f1706,plain,
! [X0,X1] :
( ~ sQ99_spl
| equalish(e_5,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f474,f89]) ).
fof(f1707,plain,
( ~ sQ99_spl
| ~ greater(e_5,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f474,f87]) ).
fof(f1708,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f474,f121]) ).
fof(f1709,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f474,f119]) ).
fof(f1710,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f474,f117]) ).
fof(f1711,plain,
! [X0] :
( ~ sQ99_spl
| product(e_5,e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f474,f124]) ).
fof(f1712,definition,
! [X0] :
( sQ211_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1713,plain,
! [X0] :
( ~ sQ211_spl
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(component_clause,[status(thm)],[f1712]) ).
fof(f1715,definition,
! [X1] :
( sQ212_spl
<=> ( equalish(e_5,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1716,plain,
! [X0] :
( ~ sQ212_spl
| equalish(e_5,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f1715]) ).
fof(f1718,plain,
( ~ sQ99_spl
| sQ212_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1706,f1712,f1715,f473]) ).
fof(f1719,plain,
( ~ sQ99_spl
| ~ sQ189_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f1707,f393,f1019,f473]) ).
fof(f1723,plain,
( ~ sQ98_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f471,f128]) ).
fof(f1724,plain,
( ~ sQ98_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f471,f126]) ).
fof(f1725,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f471,f121]) ).
fof(f1726,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f471,f119]) ).
fof(f1727,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f471,f117]) ).
fof(f1728,plain,
! [X0] :
( ~ sQ98_spl
| product(e_4,e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f471,f124]) ).
fof(f1733,plain,
( ~ sQ28_spl
| ~ sQ62_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f1676,f470,f351,f228]) ).
fof(f1734,plain,
( ~ sQ71_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1686,f96]) ).
fof(f1735,plain,
( ~ sQ71_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1734]) ).
fof(f1738,plain,
( ~ sQ71_spl
| ~ sQ97_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f468,f1604]) ).
fof(f1739,plain,
( ~ sQ42_spl
| ~ sQ97_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f468,f1301]) ).
fof(f1740,plain,
! [X0,X1] :
( ~ sQ97_spl
| equalish(e_3,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f468,f89]) ).
fof(f1741,plain,
( ~ sQ97_spl
| ~ greater(e_3,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f468,f87]) ).
fof(f1742,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f468,f121]) ).
fof(f1743,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f468,f119]) ).
fof(f1744,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f468,f117]) ).
fof(f1745,plain,
! [X0] :
( ~ sQ97_spl
| product(e_3,e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f468,f124]) ).
fof(f1746,plain,
( ~ sQ42_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1739,f108]) ).
fof(f1747,plain,
( ~ sQ42_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f1746]) ).
fof(f1748,plain,
( ~ sQ65_spl
| ~ sQ96_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f465,f1648]) ).
fof(f1749,plain,
! [X0,X1] :
( ~ sQ96_spl
| equalish(e_2,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f465,f89]) ).
fof(f1750,plain,
( ~ sQ96_spl
| ~ greater(e_2,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f465,f87]) ).
fof(f1751,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f465,f121]) ).
fof(f1752,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f465,f119]) ).
fof(f1753,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f465,f117]) ).
fof(f1754,plain,
! [X0] :
( ~ sQ96_spl
| product(e_2,e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f465,f124]) ).
fof(f1755,plain,
( ~ sQ65_spl
| ~ sQ96_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1748,f345,f464,f361]) ).
fof(f1756,definition,
! [X1] :
( sQ213_spl
<=> ( equalish(e_2,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1757,plain,
! [X0] :
( ~ sQ213_spl
| equalish(e_2,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f1756]) ).
fof(f1759,plain,
( ~ sQ96_spl
| sQ213_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1749,f1712,f1756,f464]) ).
fof(f1760,definition,
( sQ214_spl
<=> greater(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1762,plain,
( sQ214_spl
| ~ greater(e_2,e_4) ),
inference(component_clause,[status(thm)],[f1760]) ).
fof(f1763,plain,
( ~ sQ96_spl
| ~ sQ214_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f1750,f393,f1760,f464]) ).
fof(f1766,plain,
( ~ sQ95_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f462,f129]) ).
fof(f1767,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f462,f121]) ).
fof(f1768,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f462,f119]) ).
fof(f1769,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f462,f117]) ).
fof(f1770,plain,
! [X0] :
( ~ sQ95_spl
| product(e_1,e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f462,f124]) ).
fof(f1771,definition,
! [X1] :
( sQ215_spl
<=> ( equalish(e_1,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1772,plain,
! [X0] :
( ~ sQ215_spl
| equalish(e_1,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f1771]) ).
fof(f1775,definition,
( sQ216_spl
<=> greater(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1777,plain,
( sQ216_spl
| ~ greater(e_1,e_4) ),
inference(component_clause,[status(thm)],[f1775]) ).
fof(f1779,plain,
( ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1766,f107]) ).
fof(f1780,plain,
~ sQ95_spl,
inference(contradiction_clause,[status(thm)],[f1779]) ).
fof(f1781,definition,
! [X1] :
( sQ217_spl
<=> ( equalish(e_4,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1782,plain,
! [X0] :
( ~ sQ217_spl
| equalish(e_4,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f1781]) ).
fof(f1785,definition,
( sQ218_spl
<=> greater(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1787,plain,
( sQ218_spl
| ~ greater(e_4,e_4) ),
inference(component_clause,[status(thm)],[f1785]) ).
fof(f1789,plain,
( ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1723,f97]) ).
fof(f1790,plain,
~ sQ98_spl,
inference(contradiction_clause,[status(thm)],[f1789]) ).
fof(f1791,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f458,f121]) ).
fof(f1792,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f458,f119]) ).
fof(f1793,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f458,f117]) ).
fof(f1794,plain,
! [X0] :
( ~ sQ94_spl
| product(e_5,e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f458,f124]) ).
fof(f1796,plain,
( ~ sQ93_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f455,f128]) ).
fof(f1797,plain,
( ~ sQ93_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f455,f126]) ).
fof(f1798,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f455,f121]) ).
fof(f1799,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f455,f119]) ).
fof(f1800,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f455,f117]) ).
fof(f1801,plain,
! [X0] :
( ~ sQ93_spl
| product(e_4,e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f455,f124]) ).
fof(f1807,plain,
( ~ sQ94_spl
| ~ sQ92_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f452,f1793]) ).
fof(f1808,plain,
( ~ sQ70_spl
| ~ sQ92_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f452,f1611]) ).
fof(f1809,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f452,f121]) ).
fof(f1810,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f452,f119]) ).
fof(f1811,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f452,f117]) ).
fof(f1812,plain,
! [X0] :
( ~ sQ92_spl
| product(e_3,e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f452,f124]) ).
fof(f1813,plain,
( ~ sQ94_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1807,f106]) ).
fof(f1814,plain,
( ~ sQ94_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f1813]) ).
fof(f1816,plain,
( ~ sQ69_spl
| ~ sQ91_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f449,f1619]) ).
fof(f1817,plain,
( ~ sQ91_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f449,f129]) ).
fof(f1818,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f449,f121]) ).
fof(f1819,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f449,f119]) ).
fof(f1820,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f449,f117]) ).
fof(f1821,plain,
! [X0] :
( ~ sQ91_spl
| product(e_2,e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f449,f124]) ).
fof(f1824,plain,
( ~ sQ62_spl
| ~ sQ90_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f446,f1680]) ).
fof(f1825,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f446,f121]) ).
fof(f1826,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f446,f119]) ).
fof(f1827,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f446,f117]) ).
fof(f1828,plain,
! [X0] :
( ~ sQ90_spl
| product(e_1,e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f446,f124]) ).
fof(f1829,plain,
( ~ sQ62_spl
| ~ sQ90_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f1824,f380,f445,f351]) ).
fof(f1830,plain,
( ~ sQ42_spl
| ~ sQ61_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f1685,f228,f348,f276]) ).
fof(f1831,plain,
( ~ sQ90_spl
| ~ sQ61_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f1690,f446]) ).
fof(f1832,plain,
( ~ sQ90_spl
| ~ sQ61_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f1831,f364,f348,f445]) ).
fof(f1833,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f442,f121]) ).
fof(f1834,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f442,f119]) ).
fof(f1835,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f442,f117]) ).
fof(f1836,plain,
! [X0] :
( ~ sQ89_spl
| product(e_5,e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f442,f124]) ).
fof(f1842,plain,
( ~ sQ48_spl
| ~ sQ88_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f439,f1541]) ).
fof(f1843,plain,
( ~ sQ88_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f439,f128]) ).
fof(f1844,plain,
( ~ sQ88_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f439,f126]) ).
fof(f1845,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f439,f121]) ).
fof(f1846,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f439,f119]) ).
fof(f1847,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f439,f117]) ).
fof(f1848,plain,
! [X0] :
( ~ sQ88_spl
| product(e_4,e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f439,f124]) ).
fof(f1851,plain,
( ~ sQ48_spl
| ~ sQ70_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1607,f438,f377,f298]) ).
fof(f1852,plain,
( ~ sQ87_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f436,f129]) ).
fof(f1853,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f436,f121]) ).
fof(f1854,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f436,f119]) ).
fof(f1855,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f436,f117]) ).
fof(f1856,plain,
! [X0] :
( ~ sQ87_spl
| product(e_3,e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f436,f124]) ).
fof(f1857,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1852,f109]) ).
fof(f1858,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f1857]) ).
fof(f1859,plain,
( ~ sQ96_spl
| ~ sQ86_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f433,f1752]) ).
fof(f1860,plain,
( ~ sQ69_spl
| ~ sQ86_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f433,f1619]) ).
fof(f1861,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f433,f121]) ).
fof(f1862,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f433,f119]) ).
fof(f1863,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f433,f117]) ).
fof(f1864,plain,
! [X0] :
( ~ sQ86_spl
| product(e_2,e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f433,f124]) ).
fof(f1865,plain,
( ~ sQ96_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1859,f103]) ).
fof(f1866,plain,
( ~ sQ96_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f1865]) ).
fof(f1867,plain,
( ~ sQ62_spl
| ~ sQ85_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f430,f1680]) ).
fof(f1868,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f430,f121]) ).
fof(f1869,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f430,f119]) ).
fof(f1870,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f430,f117]) ).
fof(f1871,plain,
! [X0] :
( ~ sQ85_spl
| product(e_1,e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f430,f124]) ).
fof(f1872,plain,
( ~ sQ62_spl
| ~ sQ85_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f1867,f383,f429,f351]) ).
fof(f1875,plain,
( ~ sQ53_spl
| ~ sQ65_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1643,f454,f361,f314]) ).
fof(f1878,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1669,f97]) ).
fof(f1879,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f1878]) ).
fof(f1880,plain,
( ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1817,f108]) ).
fof(f1881,plain,
~ sQ91_spl,
inference(contradiction_clause,[status(thm)],[f1880]) ).
fof(f1882,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1392,f104]) ).
fof(f1883,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f1882]) ).
fof(f1884,definition,
! [X1] :
( sQ219_spl
<=> ( equalish(e_3,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1885,plain,
! [X0] :
( ~ sQ219_spl
| equalish(e_3,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f1884]) ).
fof(f1887,plain,
( ~ sQ97_spl
| sQ219_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1740,f1712,f1884,f467]) ).
fof(f1888,definition,
( sQ220_spl
<=> greater(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1890,plain,
( sQ220_spl
| ~ greater(e_3,e_4) ),
inference(component_clause,[status(thm)],[f1888]) ).
fof(f1891,plain,
( ~ sQ97_spl
| ~ sQ220_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f1741,f393,f1888,f467]) ).
fof(f1892,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1796,f101]) ).
fof(f1893,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f1892]) ).
fof(f1894,plain,
( ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1584,f105]) ).
fof(f1895,plain,
~ sQ73_spl,
inference(contradiction_clause,[status(thm)],[f1894]) ).
fof(f1897,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f426,f121]) ).
fof(f1898,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f426,f119]) ).
fof(f1899,plain,
( ~ sQ84_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f426,f125]) ).
fof(f1900,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_5)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f426,f117]) ).
fof(f1901,plain,
! [X0] :
( ~ sQ84_spl
| product(e_5,e_4,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f426,f124]) ).
fof(f1904,plain,
( ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1899,f114]) ).
fof(f1905,plain,
~ sQ84_spl,
inference(contradiction_clause,[status(thm)],[f1904]) ).
fof(f1906,plain,
( ~ sQ97_spl
| ~ sQ82_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f420,f1743]) ).
fof(f1907,plain,
( ~ sQ74_spl
| ~ sQ82_spl
| product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f420,f1578]) ).
fof(f1908,plain,
( ~ sQ67_spl
| ~ sQ82_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f420,f1631]) ).
fof(f1909,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f420,f121]) ).
fof(f1910,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f420,f119]) ).
fof(f1911,plain,
( ~ sQ82_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f420,f125]) ).
fof(f1912,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f420,f117]) ).
fof(f1913,plain,
! [X0] :
( ~ sQ82_spl
| product(e_3,e_4,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f420,f124]) ).
fof(f1914,plain,
( ~ sQ97_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1906,f107]) ).
fof(f1915,plain,
( ~ sQ97_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f1914]) ).
fof(f1916,plain,
( ~ sQ86_spl
| ~ sQ81_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f417,f1862]) ).
fof(f1917,plain,
( ~ sQ67_spl
| ~ sQ81_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f417,f1634]) ).
fof(f1918,plain,
( ~ sQ65_spl
| ~ sQ81_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f417,f1648]) ).
fof(f1919,plain,
( ~ sQ61_spl
| ~ sQ81_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f417,f1687]) ).
fof(f1920,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f417,f121]) ).
fof(f1921,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f417,f119]) ).
fof(f1922,plain,
( ~ sQ81_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f417,f125]) ).
fof(f1923,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f417,f117]) ).
fof(f1924,plain,
! [X0] :
( ~ sQ81_spl
| product(e_2,e_4,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f417,f124]) ).
fof(f1925,plain,
( ~ sQ86_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1916,f109]) ).
fof(f1926,plain,
( ~ sQ86_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f1925]) ).
fof(f1927,plain,
( ~ sQ85_spl
| ~ sQ80_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f414,f1869]) ).
fof(f1928,plain,
( ~ sQ61_spl
| ~ sQ80_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f414,f1690]) ).
fof(f1929,plain,
( ~ sQ65_spl
| ~ sQ80_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f414,f1645]) ).
fof(f1930,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f414,f121]) ).
fof(f1931,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f414,f119]) ).
fof(f1932,plain,
( ~ sQ80_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f414,f125]) ).
fof(f1933,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f414,f117]) ).
fof(f1934,plain,
! [X0] :
( ~ sQ80_spl
| product(e_1,e_4,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f414,f124]) ).
fof(f1935,plain,
( ~ sQ85_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1927,f109]) ).
fof(f1936,plain,
( ~ sQ85_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f1935]) ).
fof(f1937,plain,
( ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1843,f105]) ).
fof(f1938,plain,
~ sQ88_spl,
inference(contradiction_clause,[status(thm)],[f1937]) ).
fof(f1940,plain,
( ~ sQ119_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f544,f129]) ).
fof(f1941,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f544,f121]) ).
fof(f1942,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f544,f119]) ).
fof(f1943,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f544,f117]) ).
fof(f1944,plain,
! [X0] :
( ~ sQ119_spl
| product(e_5,e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f544,f124]) ).
fof(f1947,plain,
( ~ sQ86_spl
| ~ sQ118_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f541,f1864]) ).
fof(f1948,plain,
( ~ sQ28_spl
| ~ sQ118_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f541,f1162]) ).
fof(f1949,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f541,f121]) ).
fof(f1950,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f541,f119]) ).
fof(f1951,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f541,f117]) ).
fof(f1952,plain,
! [X0] :
( ~ sQ118_spl
| product(e_4,e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f541,f124]) ).
fof(f1953,plain,
( ~ sQ28_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1948,f111]) ).
fof(f1954,plain,
( ~ sQ28_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f1953]) ).
fof(f1955,plain,
( ~ sQ117_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f538,f128]) ).
fof(f1956,plain,
( ~ sQ117_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f538,f126]) ).
fof(f1957,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f538,f121]) ).
fof(f1958,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f538,f119]) ).
fof(f1959,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_3)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f538,f117]) ).
fof(f1960,plain,
! [X0] :
( ~ sQ117_spl
| product(e_3,e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f538,f124]) ).
fof(f1961,plain,
( ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1955,f113]) ).
fof(f1962,plain,
~ sQ117_spl,
inference(contradiction_clause,[status(thm)],[f1961]) ).
fof(f1963,plain,
( ~ sQ34_spl
| ~ sQ116_spl
| product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f535,f1408]) ).
fof(f1964,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f535,f121]) ).
fof(f1965,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f535,f119]) ).
fof(f1966,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f535,f117]) ).
fof(f1967,plain,
! [X0] :
( ~ sQ116_spl
| product(e_2,e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f535,f124]) ).
fof(f1971,plain,
( ~ sQ116_spl
| ~ sQ115_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f532,f1966]) ).
fof(f1972,plain,
( ~ sQ20_spl
| ~ sQ115_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f532,f1255]) ).
fof(f1973,plain,
( ~ sQ46_spl
| ~ sQ115_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f532,f1565]) ).
fof(f1974,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f532,f121]) ).
fof(f1975,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f532,f119]) ).
fof(f1976,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f532,f117]) ).
fof(f1977,plain,
! [X0] :
( ~ sQ115_spl
| product(e_1,e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f532,f124]) ).
fof(f1978,plain,
( ~ sQ116_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1971,f95]) ).
fof(f1979,plain,
( ~ sQ116_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f1978]) ).
fof(f1980,plain,
( ~ sQ20_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1972,f112]) ).
fof(f1981,plain,
( ~ sQ20_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f1980]) ).
fof(f1986,plain,
( ~ sQ114_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f528,f129]) ).
fof(f1987,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f528,f121]) ).
fof(f1988,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f528,f119]) ).
fof(f1989,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f528,f117]) ).
fof(f1990,plain,
! [X0] :
( ~ sQ114_spl
| product(e_5,e_5,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f528,f124]) ).
fof(f1993,plain,
( ~ sQ43_spl
| ~ sQ113_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f525,f1285]) ).
fof(f1994,plain,
( ~ sQ92_spl
| ~ sQ113_spl
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f525,f1812]) ).
fof(f1995,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f525,f121]) ).
fof(f1996,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f525,f119]) ).
fof(f1997,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f525,f117]) ).
fof(f1998,plain,
! [X0] :
( ~ sQ113_spl
| product(e_4,e_5,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f525,f124]) ).
fof(f1999,plain,
( ~ sQ43_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1993,f111]) ).
fof(f2000,plain,
( ~ sQ43_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f1999]) ).
fof(f2001,plain,
( ~ sQ42_spl
| ~ sQ112_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f522,f1302]) ).
fof(f2002,plain,
( ~ sQ23_spl
| ~ sQ112_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f522,f1235]) ).
fof(f2003,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f522,f121]) ).
fof(f2004,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f522,f119]) ).
fof(f2005,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f522,f117]) ).
fof(f2006,plain,
! [X0] :
( ~ sQ112_spl
| product(e_3,e_5,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f522,f124]) ).
fof(f2007,plain,
( ~ sQ42_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2001,f111]) ).
fof(f2008,plain,
( ~ sQ42_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f2007]) ).
fof(f2009,plain,
( ~ sQ111_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f519,f128]) ).
fof(f2010,plain,
( ~ sQ111_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f519,f126]) ).
fof(f2011,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f519,f121]) ).
fof(f2012,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f519,f119]) ).
fof(f2013,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f519,f117]) ).
fof(f2014,plain,
! [X0] :
( ~ sQ111_spl
| product(e_2,e_5,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f519,f124]) ).
fof(f2015,plain,
( ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2009,f112]) ).
fof(f2016,plain,
~ sQ111_spl,
inference(contradiction_clause,[status(thm)],[f2015]) ).
fof(f2017,plain,
( ~ sQ53_spl
| ~ sQ110_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f516,f1508]) ).
fof(f2018,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f516,f121]) ).
fof(f2019,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f516,f119]) ).
fof(f2020,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f516,f117]) ).
fof(f2021,plain,
! [X0] :
( ~ sQ110_spl
| product(e_1,e_5,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f516,f124]) ).
fof(f2022,plain,
( ~ sQ53_spl
| ~ sQ110_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f2017,f457,f515,f314]) ).
fof(f2027,plain,
( ~ sQ109_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f512,f129]) ).
fof(f2028,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f512,f121]) ).
fof(f2029,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f512,f119]) ).
fof(f2030,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f512,f117]) ).
fof(f2031,plain,
! [X0] :
( ~ sQ109_spl
| product(e_5,e_5,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f512,f124]) ).
fof(f2034,plain,
( ~ sQ53_spl
| ~ sQ108_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f509,f1506]) ).
fof(f2035,plain,
( ~ sQ96_spl
| ~ sQ108_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f509,f1754]) ).
fof(f2036,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f509,f121]) ).
fof(f2037,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f509,f119]) ).
fof(f2038,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f509,f117]) ).
fof(f2039,plain,
! [X0] :
( ~ sQ108_spl
| product(e_4,e_5,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f509,f124]) ).
fof(f2040,plain,
( ~ sQ53_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2034,f112]) ).
fof(f2041,plain,
( ~ sQ53_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f2040]) ).
fof(f2042,plain,
( ~ sQ28_spl
| ~ sQ107_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f506,f1164]) ).
fof(f2043,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f506,f121]) ).
fof(f2044,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f506,f119]) ).
fof(f2045,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f506,f117]) ).
fof(f2046,plain,
! [X0] :
( ~ sQ107_spl
| product(e_3,e_5,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f506,f124]) ).
fof(f2047,plain,
( ~ sQ28_spl
| ~ sQ107_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f2042,f473,f505,f228]) ).
fof(f2051,plain,
( ~ sQ107_spl
| ~ sQ106_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f503,f2045]) ).
fof(f2052,plain,
( ~ sQ42_spl
| ~ sQ106_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f503,f1304]) ).
fof(f2053,plain,
( ~ sQ61_spl
| ~ sQ106_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f503,f1688]) ).
fof(f2054,plain,
( ~ sQ116_spl
| ~ sQ106_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f503,f1964]) ).
fof(f2055,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f503,f121]) ).
fof(f2056,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f503,f119]) ).
fof(f2057,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f503,f117]) ).
fof(f2058,plain,
! [X0] :
( ~ sQ106_spl
| product(e_2,e_5,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f503,f124]) ).
fof(f2059,plain,
( ~ sQ107_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2051,f100]) ).
fof(f2060,plain,
( ~ sQ107_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f2059]) ).
fof(f2061,plain,
( ~ sQ42_spl
| ~ sQ106_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f2052,f231,f502,f276]) ).
fof(f2062,plain,
( ~ sQ61_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2053,f114]) ).
fof(f2063,plain,
( ~ sQ61_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f2062]) ).
fof(f2065,plain,
( ~ sQ105_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f500,f128]) ).
fof(f2066,plain,
( ~ sQ105_spl
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f500,f126]) ).
fof(f2067,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f500,f121]) ).
fof(f2068,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f500,f119]) ).
fof(f2069,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f500,f117]) ).
fof(f2070,plain,
! [X0] :
( ~ sQ105_spl
| product(e_1,e_5,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f500,f124]) ).
fof(f2073,plain,
( ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2065,f111]) ).
fof(f2074,plain,
~ sQ105_spl,
inference(contradiction_clause,[status(thm)],[f2073]) ).
fof(f2075,plain,
( ~ sQ96_spl
| ~ sQ108_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f2035,f282,f508,f464]) ).
fof(f2077,plain,
( ~ sQ104_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f496,f129]) ).
fof(f2078,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f496,f121]) ).
fof(f2079,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f496,f119]) ).
fof(f2080,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f496,f117]) ).
fof(f2081,plain,
! [X0] :
( ~ sQ104_spl
| product(e_5,e_5,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f496,f124]) ).
fof(f2084,plain,
( ~ sQ92_spl
| ~ sQ113_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f1994,f215,f524,f451]) ).
fof(f2086,plain,
( ~ sQ103_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f493,f128]) ).
fof(f2087,plain,
( ~ sQ103_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f493,f126]) ).
fof(f2088,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f493,f121]) ).
fof(f2089,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f493,f119]) ).
fof(f2090,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_4)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f493,f117]) ).
fof(f2091,plain,
! [X0] :
( ~ sQ103_spl
| product(e_4,e_5,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f493,f124]) ).
fof(f2094,plain,
( ~ sQ70_spl
| ~ sQ102_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f490,f1611]) ).
fof(f2095,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f490,f121]) ).
fof(f2096,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f490,f119]) ).
fof(f2097,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_3)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f490,f117]) ).
fof(f2098,plain,
! [X0] :
( ~ sQ102_spl
| product(e_3,e_5,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f490,f124]) ).
fof(f2099,plain,
( ~ sQ96_spl
| ~ sQ101_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f487,f1752]) ).
fof(f2100,plain,
( ~ sQ69_spl
| ~ sQ101_spl
| product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f487,f1619]) ).
fof(f2101,plain,
( ~ sQ116_spl
| ~ sQ101_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f487,f1964]) ).
fof(f2102,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f487,f121]) ).
fof(f2103,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f487,f119]) ).
fof(f2104,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f487,f117]) ).
fof(f2105,plain,
! [X0] :
( ~ sQ101_spl
| product(e_2,e_5,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f487,f124]) ).
fof(f2106,plain,
( ~ sQ96_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2099,f111]) ).
fof(f2107,plain,
( ~ sQ96_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f2106]) ).
fof(f2108,plain,
( ~ sQ85_spl
| ~ sQ100_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f484,f1869]) ).
fof(f2109,plain,
( ~ sQ61_spl
| ~ sQ100_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f484,f1690]) ).
fof(f2110,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f484,f121]) ).
fof(f2111,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f484,f119]) ).
fof(f2112,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f484,f117]) ).
fof(f2113,plain,
! [X0] :
( ~ sQ100_spl
| product(e_1,e_5,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f484,f124]) ).
fof(f2114,plain,
( ~ sQ85_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2108,f113]) ).
fof(f2115,plain,
( ~ sQ85_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f2114]) ).
fof(f2118,plain,
( ~ sQ149_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f645,f128]) ).
fof(f2119,plain,
( ~ sQ149_spl
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f645,f126]) ).
fof(f2120,plain,
! [X0] :
( ~ sQ149_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f645,f121]) ).
fof(f2121,plain,
! [X0] :
( ~ sQ149_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f645,f119]) ).
fof(f2122,plain,
! [X0] :
( ~ sQ149_spl
| equalish(X0,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f645,f117]) ).
fof(f2123,plain,
! [X0] :
( ~ sQ149_spl
| product(e_5,e_1,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f645,f124]) ).
fof(f2124,definition,
! [X0] :
( sQ221_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f2125,plain,
! [X0] :
( ~ sQ221_spl
| ~ greater(X0,e_0)
| ~ cycle(e_5,X0) ),
inference(component_clause,[status(thm)],[f2124]) ).
fof(f2127,definition,
! [X1] :
( sQ222_spl
<=> ( equalish(e_5,X1)
| ~ next(e_5,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f2128,plain,
! [X0] :
( ~ sQ222_spl
| equalish(e_5,X0)
| ~ next(e_5,X0) ),
inference(component_clause,[status(thm)],[f2127]) ).
fof(f2132,plain,
( ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2118,f98]) ).
fof(f2133,plain,
~ sQ149_spl,
inference(contradiction_clause,[status(thm)],[f2132]) ).
fof(f2134,plain,
( sQ64_spl
| ~ sQ70_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f359,f2094]) ).
fof(f2135,plain,
( sQ64_spl
| ~ sQ70_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f2134]) ).
fof(f2136,plain,
( ~ sQ102_spl
| ~ sQ74_spl
| product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f1578,f490]) ).
fof(f2137,plain,
( ~ sQ102_spl
| ~ sQ92_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1810,f490]) ).
fof(f2138,plain,
( ~ sQ102_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2137,f112]) ).
fof(f2139,plain,
( ~ sQ102_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f2138]) ).
fof(f2140,plain,
( ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2086,f114]) ).
fof(f2141,plain,
~ sQ103_spl,
inference(contradiction_clause,[status(thm)],[f2140]) ).
fof(f2150,plain,
( ~ sQ102_spl
| ~ sQ148_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f642,f2098]) ).
fof(f2151,plain,
! [X0,X1] :
( ~ sQ148_spl
| equalish(e_4,X1)
| ~ next(e_5,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f642,f89]) ).
fof(f2152,plain,
( ~ sQ148_spl
| ~ greater(e_4,e_5)
| ~ cycle(e_5,e_0) ),
inference(resolution,[status(thm)],[f642,f87]) ).
fof(f2153,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f642,f121]) ).
fof(f2154,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f642,f119]) ).
fof(f2155,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f642,f117]) ).
fof(f2156,plain,
! [X0] :
( ~ sQ148_spl
| product(e_4,e_1,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f642,f124]) ).
fof(f2157,plain,
( ~ sQ102_spl
| ~ sQ148_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f2150,f531,f641,f489]) ).
fof(f2158,definition,
! [X1] :
( sQ223_spl
<=> ( equalish(e_4,X1)
| ~ next(e_5,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f2159,plain,
! [X0] :
( ~ sQ223_spl
| equalish(e_4,X0)
| ~ next(e_5,X0) ),
inference(component_clause,[status(thm)],[f2158]) ).
fof(f2161,plain,
( ~ sQ148_spl
| sQ223_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f2151,f2124,f2158,f641]) ).
fof(f2162,definition,
( sQ224_spl
<=> greater(e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2164,plain,
( sQ224_spl
| ~ greater(e_4,e_5) ),
inference(component_clause,[status(thm)],[f2162]) ).
fof(f2165,plain,
( ~ sQ148_spl
| ~ sQ224_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f2152,f547,f2162,f641]) ).
fof(f2166,plain,
( sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f549,f82]) ).
fof(f2167,plain,
sQ120_spl,
inference(contradiction_clause,[status(thm)],[f2166]) ).
fof(f2168,plain,
( ~ sQ116_spl
| ~ sQ147_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f639,f1967]) ).
fof(f2169,plain,
( ~ sQ42_spl
| ~ sQ147_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f639,f1301]) ).
fof(f2170,plain,
! [X0,X1] :
( ~ sQ147_spl
| equalish(e_3,X1)
| ~ next(e_5,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f639,f89]) ).
fof(f2171,plain,
( ~ sQ147_spl
| ~ greater(e_3,e_5)
| ~ cycle(e_5,e_0) ),
inference(resolution,[status(thm)],[f639,f87]) ).
fof(f2172,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f639,f121]) ).
fof(f2173,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f639,f119]) ).
fof(f2174,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_3)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f639,f117]) ).
fof(f2175,plain,
! [X0] :
( ~ sQ147_spl
| product(e_3,e_1,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f639,f124]) ).
fof(f2176,plain,
( ~ sQ116_spl
| ~ sQ147_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f2168,f515,f638,f534]) ).
fof(f2177,plain,
( ~ sQ42_spl
| ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2169,f112]) ).
fof(f2178,plain,
( ~ sQ42_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f2177]) ).
fof(f2179,plain,
( ~ sQ110_spl
| ~ sQ146_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f636,f2021]) ).
fof(f2180,plain,
( ~ sQ26_spl
| ~ sQ146_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f636,f1195]) ).
fof(f2181,plain,
( ~ sQ96_spl
| ~ sQ146_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f636,f1751]) ).
fof(f2182,plain,
! [X0,X1] :
( ~ sQ146_spl
| equalish(e_2,X1)
| ~ next(e_5,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f636,f89]) ).
fof(f2183,plain,
( ~ sQ146_spl
| ~ greater(e_2,e_5)
| ~ cycle(e_5,e_0) ),
inference(resolution,[status(thm)],[f636,f87]) ).
fof(f2184,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f636,f121]) ).
fof(f2185,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f636,f119]) ).
fof(f2186,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_2)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f636,f117]) ).
fof(f2187,plain,
! [X0] :
( ~ sQ146_spl
| product(e_2,e_1,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f636,f124]) ).
fof(f2188,plain,
( ~ sQ110_spl
| ~ sQ146_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f2179,f499,f635,f515]) ).
fof(f2189,plain,
( ~ sQ26_spl
| ~ sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2180,f113]) ).
fof(f2190,plain,
( ~ sQ26_spl
| ~ sQ146_spl ),
inference(contradiction_clause,[status(thm)],[f2189]) ).
fof(f2191,plain,
( ~ sQ107_spl
| ~ sQ145_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f633,f2046]) ).
fof(f2194,plain,
( ~ sQ145_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f633,f129]) ).
fof(f2195,plain,
! [X0] :
( ~ sQ145_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f633,f121]) ).
fof(f2196,plain,
! [X0] :
( ~ sQ145_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f633,f119]) ).
fof(f2197,plain,
! [X0] :
( ~ sQ145_spl
| equalish(X0,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f633,f117]) ).
fof(f2198,plain,
! [X0] :
( ~ sQ145_spl
| product(e_1,e_1,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f633,f124]) ).
fof(f2199,definition,
! [X1] :
( sQ225_spl
<=> ( equalish(e_1,X1)
| ~ next(e_5,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f2200,plain,
! [X0] :
( ~ sQ225_spl
| equalish(e_1,X0)
| ~ next(e_5,X0) ),
inference(component_clause,[status(thm)],[f2199]) ).
fof(f2203,definition,
( sQ226_spl
<=> greater(e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f2205,plain,
( sQ226_spl
| ~ greater(e_1,e_5) ),
inference(component_clause,[status(thm)],[f2203]) ).
fof(f2207,plain,
( ~ sQ145_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2194,f111]) ).
fof(f2208,plain,
~ sQ145_spl,
inference(contradiction_clause,[status(thm)],[f2207]) ).
fof(f2209,plain,
( ~ sQ144_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f629,f128]) ).
fof(f2210,plain,
( ~ sQ144_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f629,f126]) ).
fof(f2211,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f629,f121]) ).
fof(f2212,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f629,f119]) ).
fof(f2213,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_5)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f629,f117]) ).
fof(f2214,plain,
! [X0] :
( ~ sQ144_spl
| product(e_5,e_2,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f629,f124]) ).
fof(f2215,plain,
( ~ sQ144_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2209,f102]) ).
fof(f2216,plain,
~ sQ144_spl,
inference(contradiction_clause,[status(thm)],[f2215]) ).
fof(f2217,plain,
( ~ sQ148_spl
| ~ sQ143_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f626,f2154]) ).
fof(f2218,plain,
( ~ sQ100_spl
| ~ sQ143_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f626,f2113]) ).
fof(f2219,plain,
( ~ sQ23_spl
| ~ sQ143_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f626,f1232]) ).
fof(f2220,plain,
( ~ sQ53_spl
| ~ sQ143_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f626,f1505]) ).
fof(f2221,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f626,f121]) ).
fof(f2222,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f626,f119]) ).
fof(f2223,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f626,f117]) ).
fof(f2224,plain,
! [X0] :
( ~ sQ143_spl
| product(e_4,e_2,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f626,f124]) ).
fof(f2225,plain,
( ~ sQ148_spl
| ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2217,f99]) ).
fof(f2226,plain,
( ~ sQ148_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f2225]) ).
fof(f2227,plain,
( ~ sQ115_spl
| ~ sQ142_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f623,f1977]) ).
fof(f2228,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f623,f121]) ).
fof(f2229,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f623,f119]) ).
fof(f2230,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f623,f117]) ).
fof(f2231,plain,
! [X0] :
( ~ sQ142_spl
| product(e_3,e_2,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f623,f124]) ).
fof(f2232,plain,
( ~ sQ115_spl
| ~ sQ142_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2227,f502,f622,f531]) ).
fof(f2234,plain,
( ~ sQ141_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f620,f129]) ).
fof(f2235,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f620,f121]) ).
fof(f2236,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f620,f119]) ).
fof(f2237,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f620,f117]) ).
fof(f2238,plain,
! [X0] :
( ~ sQ141_spl
| product(e_2,e_2,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f620,f124]) ).
fof(f2240,plain,
( ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2234,f112]) ).
fof(f2241,plain,
~ sQ141_spl,
inference(contradiction_clause,[status(thm)],[f2240]) ).
fof(f2242,plain,
( ~ sQ90_spl
| ~ sQ140_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f617,f1825]) ).
fof(f2243,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f617,f121]) ).
fof(f2244,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f617,f119]) ).
fof(f2245,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f617,f117]) ).
fof(f2246,plain,
! [X0] :
( ~ sQ140_spl
| product(e_1,e_2,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f617,f124]) ).
fof(f2247,plain,
( ~ sQ90_spl
| ~ sQ140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2242,f114]) ).
fof(f2248,plain,
( ~ sQ90_spl
| ~ sQ140_spl ),
inference(contradiction_clause,[status(thm)],[f2247]) ).
fof(f2249,plain,
( ~ sQ139_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f613,f128]) ).
fof(f2250,plain,
( ~ sQ139_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f613,f126]) ).
fof(f2251,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f613,f121]) ).
fof(f2252,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f613,f119]) ).
fof(f2253,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_5)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f613,f117]) ).
fof(f2254,plain,
! [X0] :
( ~ sQ139_spl
| product(e_5,e_3,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f613,f124]) ).
fof(f2255,plain,
( ~ sQ139_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2249,f106]) ).
fof(f2256,plain,
~ sQ139_spl,
inference(contradiction_clause,[status(thm)],[f2255]) ).
fof(f2257,plain,
( ~ sQ148_spl
| ~ sQ138_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f610,f2154]) ).
fof(f2258,plain,
( ~ sQ48_spl
| ~ sQ138_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f610,f1541]) ).
fof(f2259,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f610,f121]) ).
fof(f2260,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f610,f119]) ).
fof(f2261,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_4)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f610,f117]) ).
fof(f2262,plain,
! [X0] :
( ~ sQ138_spl
| product(e_4,e_3,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f610,f124]) ).
fof(f2263,plain,
( ~ sQ148_spl
| ~ sQ138_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2257,f103]) ).
fof(f2264,plain,
( ~ sQ148_spl
| ~ sQ138_spl ),
inference(contradiction_clause,[status(thm)],[f2263]) ).
fof(f2265,plain,
( ~ sQ137_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f607,f129]) ).
fof(f2266,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f607,f121]) ).
fof(f2267,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f607,f119]) ).
fof(f2268,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f607,f117]) ).
fof(f2269,plain,
! [X0] :
( ~ sQ137_spl
| product(e_3,e_3,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f607,f124]) ).
fof(f2270,plain,
( ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2265,f113]) ).
fof(f2271,plain,
~ sQ137_spl,
inference(contradiction_clause,[status(thm)],[f2270]) ).
fof(f2272,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f604,f121]) ).
fof(f2273,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f604,f119]) ).
fof(f2274,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f604,f117]) ).
fof(f2275,plain,
! [X0] :
( ~ sQ136_spl
| product(e_2,e_3,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f604,f124]) ).
fof(f2276,plain,
( ~ sQ140_spl
| ~ sQ106_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f2058,f617]) ).
fof(f2277,plain,
( ~ sQ140_spl
| ~ sQ106_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f2276,f518,f502,f616]) ).
fof(f2278,plain,
( ~ sQ116_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2101,f109]) ).
fof(f2279,plain,
( ~ sQ116_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f2278]) ).
fof(f2280,plain,
( ~ sQ34_spl
| ~ sQ116_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f1963,f612,f534,f250]) ).
fof(f2281,plain,
( ~ sQ61_spl
| ~ sQ100_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f2109,f373,f483,f348]) ).
fof(f2282,plain,
( ~ sQ136_spl
| ~ sQ113_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f1998,f604]) ).
fof(f2283,plain,
( ~ sQ136_spl
| ~ sQ113_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f2282,f489,f524,f603]) ).
fof(f2284,plain,
( ~ sQ140_spl
| ~ sQ107_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f2046,f617]) ).
fof(f2285,plain,
( ~ sQ140_spl
| ~ sQ107_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f2284,f534,f505,f616]) ).
fof(f2286,plain,
( ~ sQ140_spl
| ~ sQ108_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f2039,f617]) ).
fof(f2290,plain,
( ~ sQ140_spl
| ~ sQ135_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f601,f2244]) ).
fof(f2291,plain,
( ~ sQ108_spl
| ~ sQ135_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f601,f2039]) ).
fof(f2292,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f601,f121]) ).
fof(f2293,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f601,f119]) ).
fof(f2294,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_1)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f601,f117]) ).
fof(f2295,plain,
! [X0] :
( ~ sQ135_spl
| product(e_1,e_3,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f601,f124]) ).
fof(f2296,plain,
( ~ sQ140_spl
| ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2290,f104]) ).
fof(f2297,plain,
( ~ sQ140_spl
| ~ sQ135_spl ),
inference(contradiction_clause,[status(thm)],[f2296]) ).
fof(f2299,plain,
( ~ sQ134_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f597,f128]) ).
fof(f2300,plain,
( ~ sQ134_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f597,f126]) ).
fof(f2301,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f597,f121]) ).
fof(f2302,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f597,f119]) ).
fof(f2303,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_5)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f597,f117]) ).
fof(f2304,plain,
! [X0] :
( ~ sQ134_spl
| product(e_5,e_4,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f597,f124]) ).
fof(f2309,plain,
( ~ sQ133_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f594,f129]) ).
fof(f2310,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f594,f121]) ).
fof(f2311,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f594,f119]) ).
fof(f2312,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f594,f117]) ).
fof(f2313,plain,
! [X0] :
( ~ sQ133_spl
| product(e_4,e_4,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f594,f124]) ).
fof(f2317,plain,
( ~ sQ62_spl
| ~ sQ132_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f591,f1677]) ).
fof(f2318,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f591,f121]) ).
fof(f2319,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f591,f119]) ).
fof(f2320,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f591,f117]) ).
fof(f2321,plain,
! [X0] :
( ~ sQ132_spl
| product(e_3,e_4,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f591,f124]) ).
fof(f2322,plain,
( ~ sQ62_spl
| ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2317,f111]) ).
fof(f2323,plain,
( ~ sQ62_spl
| ~ sQ132_spl ),
inference(contradiction_clause,[status(thm)],[f2322]) ).
fof(f2324,plain,
( ~ sQ110_spl
| ~ sQ131_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f588,f2021]) ).
fof(f2325,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f588,f121]) ).
fof(f2326,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f588,f119]) ).
fof(f2327,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f588,f117]) ).
fof(f2328,plain,
! [X0] :
( ~ sQ131_spl
| product(e_2,e_4,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f588,f124]) ).
fof(f2329,plain,
( ~ sQ110_spl
| ~ sQ131_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f2324,f508,f587,f515]) ).
fof(f2330,plain,
( ~ sQ108_spl
| ~ sQ135_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f2291,f489,f600,f508]) ).
fof(f2331,plain,
( ~ sQ65_spl
| ~ sQ130_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f585,f1645]) ).
fof(f2332,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f585,f121]) ).
fof(f2333,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f585,f119]) ).
fof(f2334,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f585,f117]) ).
fof(f2335,plain,
! [X0] :
( ~ sQ130_spl
| product(e_1,e_4,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f585,f124]) ).
fof(f2336,plain,
( ~ sQ65_spl
| ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2331,f112]) ).
fof(f2337,plain,
( ~ sQ65_spl
| ~ sQ130_spl ),
inference(contradiction_clause,[status(thm)],[f2336]) ).
fof(f2338,plain,
( ~ sQ135_spl
| ~ sQ106_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f2058,f601]) ).
fof(f2339,plain,
( ~ sQ135_spl
| ~ sQ106_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f2338,f521,f502,f600]) ).
fof(f2340,plain,
( ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2299,f110]) ).
fof(f2341,plain,
~ sQ134_spl,
inference(contradiction_clause,[status(thm)],[f2340]) ).
fof(f2342,plain,
( ~ sQ69_spl
| ~ sQ86_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1860,f590,f432,f373]) ).
fof(f2343,plain,
( ~ sQ135_spl
| ~ sQ107_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f2046,f601]) ).
fof(f2344,plain,
( ~ sQ135_spl
| ~ sQ107_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f2343,f537,f505,f600]) ).
fof(f2345,plain,
( ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2027,f98]) ).
fof(f2346,plain,
~ sQ109_spl,
inference(contradiction_clause,[status(thm)],[f2345]) ).
fof(f2349,plain,
( ~ sQ108_spl
| ~ sQ128_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f578,f2036]) ).
fof(f2350,plain,
! [X0] :
( ~ sQ128_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f578,f121]) ).
fof(f2351,plain,
! [X0] :
( ~ sQ128_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f578,f119]) ).
fof(f2352,plain,
( ~ sQ128_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f578,f125]) ).
fof(f2353,plain,
! [X0] :
( ~ sQ128_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f578,f117]) ).
fof(f2354,plain,
! [X0] :
( ~ sQ128_spl
| product(e_4,e_5,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f578,f124]) ).
fof(f2358,plain,
( ~ sQ142_spl
| ~ sQ127_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f575,f2229]) ).
fof(f2359,plain,
( ~ sQ115_spl
| ~ sQ127_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f575,f1977]) ).
fof(f2360,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f575,f121]) ).
fof(f2361,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f575,f119]) ).
fof(f2362,plain,
( ~ sQ127_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f575,f125]) ).
fof(f2363,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_3)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f575,f117]) ).
fof(f2364,plain,
! [X0] :
( ~ sQ127_spl
| product(e_3,e_5,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f575,f124]) ).
fof(f2365,plain,
( ~ sQ142_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2358,f112]) ).
fof(f2366,plain,
( ~ sQ142_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f2365]) ).
fof(f2369,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f572,f121]) ).
fof(f2370,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f572,f119]) ).
fof(f2371,plain,
( ~ sQ126_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f572,f125]) ).
fof(f2372,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_2)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f572,f117]) ).
fof(f2373,plain,
! [X0] :
( ~ sQ126_spl
| product(e_2,e_5,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f572,f124]) ).
fof(f2377,plain,
( ~ sQ108_spl
| ~ sQ125_spl
| product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f569,f2039]) ).
fof(f2380,plain,
! [X0] :
( ~ sQ125_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f569,f121]) ).
fof(f2381,plain,
! [X0] :
( ~ sQ125_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f569,f119]) ).
fof(f2382,plain,
( ~ sQ125_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f569,f125]) ).
fof(f2383,plain,
! [X0] :
( ~ sQ125_spl
| equalish(X0,e_1)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f569,f117]) ).
fof(f2384,plain,
! [X0] :
( ~ sQ125_spl
| product(e_1,e_5,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f569,f124]) ).
fof(f2388,plain,
( ~ sQ78_spl
| ~ sQ155_spl
| ~ greater(e_3,e_0)
| ~ greater(e_2,e_4) ),
inference(resolution,[status(thm)],[f719,f403]) ).
fof(f2389,plain,
( ~ sQ1_spl
| ~ sQ155_spl
| ~ greater(e_1,e_0)
| ~ greater(e_2,e_3) ),
inference(resolution,[status(thm)],[f719,f137]) ).
fof(f2390,plain,
( ~ sQ8_spl
| ~ sQ155_spl
| ~ greater(e_3,e_0)
| ~ greater(e_2,e_2) ),
inference(resolution,[status(thm)],[f719,f159]) ).
fof(f2391,plain,
( ~ sQ10_spl
| ~ sQ155_spl
| ~ greater(e_0,e_0)
| ~ greater(e_2,e_1) ),
inference(resolution,[status(thm)],[f719,f166]) ).
fof(f2392,plain,
( ~ sQ155_spl
| ~ greater(e_0,e_0)
| ~ greater(e_2,e_5) ),
inference(resolution,[status(thm)],[f719,f82]) ).
fof(f2393,plain,
( ~ sQ78_spl
| ~ sQ155_spl
| ~ sQ164_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f2388,f1760,f803,f718,f402]) ).
fof(f2394,plain,
( ~ sQ1_spl
| ~ sQ155_spl
| ~ sQ160_spl
| ~ sQ197_spl ),
inference(split_clause,[status(thm)],[f2389,f1203,f789,f718,f136]) ).
fof(f2395,plain,
( ~ sQ8_spl
| ~ sQ155_spl
| ~ sQ164_spl
| ~ sQ209_spl ),
inference(split_clause,[status(thm)],[f2390,f1347,f803,f718,f158]) ).
fof(f2396,definition,
( sQ227_spl
<=> greater(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f2398,plain,
( sQ227_spl
| ~ greater(e_2,e_1) ),
inference(component_clause,[status(thm)],[f2396]) ).
fof(f2399,plain,
( ~ sQ10_spl
| ~ sQ155_spl
| ~ sQ170_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f2391,f2396,f832,f718,f165]) ).
fof(f2400,definition,
( sQ228_spl
<=> greater(e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f2402,plain,
( sQ228_spl
| ~ greater(e_2,e_5) ),
inference(component_clause,[status(thm)],[f2400]) ).
fof(f2403,plain,
( ~ sQ155_spl
| ~ sQ170_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f2392,f2400,f832,f718]) ).
fof(f2404,plain,
( sQ227_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2398,f69]) ).
fof(f2405,plain,
sQ227_spl,
inference(contradiction_clause,[status(thm)],[f2404]) ).
fof(f2427,plain,
( ~ sQ79_spl
| ~ sQ157_spl
| ~ greater(e_4,e_0)
| ~ greater(e_4,e_4) ),
inference(resolution,[status(thm)],[f748,f406]) ).
fof(f2428,plain,
( ~ sQ2_spl
| ~ sQ157_spl
| ~ greater(e_2,e_0)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f748,f140]) ).
fof(f2429,plain,
( ~ sQ7_spl
| ~ sQ157_spl
| ~ greater(e_2,e_0)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f748,f156]) ).
fof(f2430,plain,
( ~ sQ10_spl
| ~ sQ157_spl
| ~ greater(e_0,e_0)
| ~ greater(e_4,e_1) ),
inference(resolution,[status(thm)],[f748,f166]) ).
fof(f2431,plain,
( ~ sQ157_spl
| ~ greater(e_0,e_0)
| ~ greater(e_4,e_5) ),
inference(resolution,[status(thm)],[f748,f82]) ).
fof(f2432,plain,
( ~ sQ79_spl
| ~ sQ157_spl
| ~ sQ166_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f2427,f1785,f810,f747,f405]) ).
fof(f2433,plain,
( ~ sQ2_spl
| ~ sQ157_spl
| ~ sQ162_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f2428,f1169,f796,f747,f139]) ).
fof(f2434,plain,
( ~ sQ7_spl
| ~ sQ157_spl
| ~ sQ162_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f2429,f1292,f796,f747,f155]) ).
fof(f2435,definition,
( sQ229_spl
<=> greater(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2437,plain,
( sQ229_spl
| ~ greater(e_4,e_1) ),
inference(component_clause,[status(thm)],[f2435]) ).
fof(f2438,plain,
( ~ sQ10_spl
| ~ sQ157_spl
| ~ sQ170_spl
| ~ sQ229_spl ),
inference(split_clause,[status(thm)],[f2430,f2435,f832,f747,f165]) ).
fof(f2439,plain,
( ~ sQ157_spl
| ~ sQ170_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f2431,f2162,f832,f747]) ).
fof(f2440,plain,
( sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2437,f71]) ).
fof(f2441,plain,
sQ229_spl,
inference(contradiction_clause,[status(thm)],[f2440]) ).
fof(f2463,plain,
( ~ sQ23_spl
| ~ sQ18_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f197,f1233]) ).
fof(f2464,plain,
( ~ sQ86_spl
| ~ sQ18_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f197,f1864]) ).
fof(f2465,plain,
( ~ sQ48_spl
| ~ sQ18_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f197,f1541]) ).
fof(f2466,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f197,f121]) ).
fof(f2467,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f197,f119]) ).
fof(f2468,plain,
( ~ sQ18_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f197,f125]) ).
fof(f2469,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f197,f117]) ).
fof(f2470,plain,
! [X0] :
( ~ sQ18_spl
| product(e_4,e_3,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f197,f124]) ).
fof(f2471,plain,
( ~ sQ23_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2463,f104]) ).
fof(f2472,plain,
( ~ sQ23_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f2471]) ).
fof(f2473,plain,
( ~ sQ167_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f814,f59]) ).
fof(f2474,plain,
( ~ sQ167_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2473,f107]) ).
fof(f2475,plain,
~ sQ167_spl,
inference(contradiction_clause,[status(thm)],[f2474]) ).
fof(f2476,plain,
( ~ sQ165_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f807,f59]) ).
fof(f2477,plain,
( ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2476,f103]) ).
fof(f2478,plain,
~ sQ165_spl,
inference(contradiction_clause,[status(thm)],[f2477]) ).
fof(f2479,plain,
( ~ sQ163_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f800,f59]) ).
fof(f2480,plain,
( ~ sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2479,f99]) ).
fof(f2481,plain,
~ sQ163_spl,
inference(contradiction_clause,[status(thm)],[f2480]) ).
fof(f2482,plain,
( ~ sQ96_spl
| ~ sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2181,f114]) ).
fof(f2483,plain,
( ~ sQ96_spl
| ~ sQ146_spl ),
inference(contradiction_clause,[status(thm)],[f2482]) ).
fof(f2484,plain,
( ~ sQ23_spl
| ~ sQ112_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f2002,f457,f521,f212]) ).
fof(f2485,plain,
( ~ sQ23_spl
| ~ sQ67_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1630,f454,f367,f212]) ).
fof(f2486,plain,
( ~ sQ70_spl
| ~ sQ92_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1808,f348,f451,f377]) ).
fof(f2487,plain,
( ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2382,f98]) ).
fof(f2488,plain,
~ sQ125_spl,
inference(contradiction_clause,[status(thm)],[f2487]) ).
fof(f2503,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f191,f121]) ).
fof(f2504,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f191,f119]) ).
fof(f2505,plain,
( ~ sQ16_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f191,f125]) ).
fof(f2506,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f191,f117]) ).
fof(f2507,plain,
! [X0] :
( ~ sQ16_spl
| product(e_2,e_3,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f191,f124]) ).
fof(f2508,plain,
( ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2505,f100]) ).
fof(f2509,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f2508]) ).
fof(f2511,plain,
( ~ sQ171_spl
| equalish(e_0,e_1) ),
inference(resolution,[status(thm)],[f836,f59]) ).
fof(f2512,plain,
( ~ sQ75_spl
| ~ sQ172_spl
| ~ greater(e_0,e_4)
| ~ greater(e_5,e_4) ),
inference(resolution,[status(thm)],[f861,f394]) ).
fof(f2513,plain,
( ~ sQ3_spl
| ~ sQ172_spl
| ~ greater(e_3,e_4)
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f861,f143]) ).
fof(f2514,plain,
( ~ sQ6_spl
| ~ sQ172_spl
| ~ greater(e_1,e_4)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f861,f153]) ).
fof(f2515,plain,
( ~ sQ10_spl
| ~ sQ172_spl
| ~ greater(e_0,e_4)
| ~ greater(e_5,e_1) ),
inference(resolution,[status(thm)],[f861,f166]) ).
fof(f2516,plain,
( ~ sQ172_spl
| ~ greater(e_0,e_4)
| ~ greater(e_5,e_5) ),
inference(resolution,[status(thm)],[f861,f82]) ).
fof(f2517,definition,
( sQ230_spl
<=> greater(e_0,e_4) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2519,plain,
( sQ230_spl
| ~ greater(e_0,e_4) ),
inference(component_clause,[status(thm)],[f2517]) ).
fof(f2520,plain,
( ~ sQ75_spl
| ~ sQ172_spl
| ~ sQ230_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f2512,f1019,f2517,f860,f393]) ).
fof(f2521,plain,
( ~ sQ3_spl
| ~ sQ172_spl
| ~ sQ220_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f2513,f1005,f1888,f860,f142]) ).
fof(f2522,plain,
( ~ sQ6_spl
| ~ sQ172_spl
| ~ sQ216_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f2514,f896,f1775,f860,f152]) ).
fof(f2523,plain,
( ~ sQ10_spl
| ~ sQ172_spl
| ~ sQ230_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f2515,f992,f2517,f860,f165]) ).
fof(f2524,plain,
( ~ sQ172_spl
| ~ sQ230_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f2516,f900,f2517,f860]) ).
fof(f2539,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f188,f1255]) ).
fof(f2540,plain,
( ~ sQ70_spl
| ~ sQ15_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f188,f1609]) ).
fof(f2541,plain,
( ~ sQ49_spl
| ~ sQ15_spl
| product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f188,f1540]) ).
fof(f2542,plain,
( ~ sQ135_spl
| ~ sQ15_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f188,f2292]) ).
fof(f2543,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f188,f121]) ).
fof(f2544,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f188,f119]) ).
fof(f2545,plain,
( ~ sQ15_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f188,f125]) ).
fof(f2546,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f188,f117]) ).
fof(f2547,plain,
! [X0] :
( ~ sQ15_spl
| product(e_1,e_3,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f188,f124]) ).
fof(f2548,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2539,f104]) ).
fof(f2549,plain,
( ~ sQ20_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f2548]) ).
fof(f2550,plain,
( ~ sQ1_spl
| ~ sQ178_spl
| ~ greater(e_1,e_3)
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f883,f137]) ).
fof(f2551,plain,
( ~ sQ8_spl
| ~ sQ178_spl
| ~ greater(e_3,e_3)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f883,f159]) ).
fof(f2552,plain,
( ~ sQ75_spl
| ~ sQ178_spl
| ~ greater(e_0,e_3)
| ~ greater(e_5,e_4) ),
inference(resolution,[status(thm)],[f883,f394]) ).
fof(f2553,plain,
( ~ sQ10_spl
| ~ sQ178_spl
| ~ greater(e_0,e_3)
| ~ greater(e_5,e_1) ),
inference(resolution,[status(thm)],[f883,f166]) ).
fof(f2554,plain,
( ~ sQ178_spl
| ~ greater(e_0,e_3)
| ~ greater(e_5,e_5) ),
inference(resolution,[status(thm)],[f883,f82]) ).
fof(f2555,plain,
( ~ sQ1_spl
| ~ sQ178_spl
| ~ sQ199_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f2550,f1005,f1218,f882,f136]) ).
fof(f2556,plain,
( ~ sQ8_spl
| ~ sQ178_spl
| ~ sQ195_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f2551,f896,f1187,f882,f158]) ).
fof(f2557,definition,
( sQ231_spl
<=> greater(e_0,e_3) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2559,plain,
( sQ231_spl
| ~ greater(e_0,e_3) ),
inference(component_clause,[status(thm)],[f2557]) ).
fof(f2560,plain,
( ~ sQ75_spl
| ~ sQ178_spl
| ~ sQ231_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f2552,f1019,f2557,f882,f393]) ).
fof(f2561,plain,
( ~ sQ10_spl
| ~ sQ178_spl
| ~ sQ231_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f2553,f992,f2557,f882,f165]) ).
fof(f2562,plain,
( ~ sQ178_spl
| ~ sQ231_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f2554,f900,f2557,f882]) ).
fof(f2577,plain,
( ~ sQ3_spl
| ~ sQ177_spl
| ~ greater(e_3,e_2)
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f879,f143]) ).
fof(f2578,plain,
( ~ sQ6_spl
| ~ sQ177_spl
| ~ greater(e_1,e_2)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f879,f153]) ).
fof(f2579,plain,
( ~ sQ75_spl
| ~ sQ177_spl
| ~ greater(e_0,e_2)
| ~ greater(e_5,e_4) ),
inference(resolution,[status(thm)],[f879,f394]) ).
fof(f2580,plain,
( ~ sQ10_spl
| ~ sQ177_spl
| ~ greater(e_0,e_2)
| ~ greater(e_5,e_1) ),
inference(resolution,[status(thm)],[f879,f166]) ).
fof(f2581,plain,
( ~ sQ177_spl
| ~ greater(e_0,e_2)
| ~ greater(e_5,e_5) ),
inference(resolution,[status(thm)],[f879,f82]) ).
fof(f2582,plain,
( ~ sQ3_spl
| ~ sQ177_spl
| ~ sQ205_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f2577,f1005,f1309,f878,f142]) ).
fof(f2583,plain,
( ~ sQ6_spl
| ~ sQ177_spl
| ~ sQ207_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f2578,f896,f1337,f878,f152]) ).
fof(f2584,definition,
( sQ232_spl
<=> greater(e_0,e_2) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2586,plain,
( sQ232_spl
| ~ greater(e_0,e_2) ),
inference(component_clause,[status(thm)],[f2584]) ).
fof(f2587,plain,
( ~ sQ75_spl
| ~ sQ177_spl
| ~ sQ232_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f2579,f1019,f2584,f878,f393]) ).
fof(f2588,plain,
( ~ sQ10_spl
| ~ sQ177_spl
| ~ sQ232_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f2580,f992,f2584,f878,f165]) ).
fof(f2589,plain,
( ~ sQ177_spl
| ~ sQ232_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f2581,f900,f2584,f878]) ).
fof(f2604,plain,
( ~ sQ8_spl
| ~ sQ175_spl
| ~ greater(e_3,e_1)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f872,f159]) ).
fof(f2605,plain,
( ~ sQ1_spl
| ~ sQ175_spl
| ~ greater(e_1,e_1)
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f872,f137]) ).
fof(f2606,plain,
( ~ sQ75_spl
| ~ sQ175_spl
| ~ greater(e_0,e_1)
| ~ greater(e_5,e_4) ),
inference(resolution,[status(thm)],[f872,f394]) ).
fof(f2607,plain,
( ~ sQ10_spl
| ~ sQ175_spl
| ~ greater(e_0,e_1)
| ~ greater(e_5,e_1) ),
inference(resolution,[status(thm)],[f872,f166]) ).
fof(f2608,plain,
( ~ sQ175_spl
| ~ greater(e_0,e_1)
| ~ greater(e_5,e_5) ),
inference(resolution,[status(thm)],[f872,f82]) ).
fof(f2609,definition,
( sQ233_spl
<=> greater(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2611,plain,
( sQ233_spl
| ~ greater(e_3,e_1) ),
inference(component_clause,[status(thm)],[f2609]) ).
fof(f2612,plain,
( ~ sQ8_spl
| ~ sQ175_spl
| ~ sQ233_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f2604,f896,f2609,f871,f158]) ).
fof(f2613,plain,
( ~ sQ1_spl
| ~ sQ175_spl
| ~ sQ152_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f2605,f1005,f661,f871,f136]) ).
fof(f2614,definition,
( sQ234_spl
<=> greater(e_0,e_1) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2616,plain,
( sQ234_spl
| ~ greater(e_0,e_1) ),
inference(component_clause,[status(thm)],[f2614]) ).
fof(f2617,plain,
( ~ sQ75_spl
| ~ sQ175_spl
| ~ sQ234_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f2606,f1019,f2614,f871,f393]) ).
fof(f2618,plain,
( ~ sQ10_spl
| ~ sQ175_spl
| ~ sQ234_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f2607,f992,f2614,f871,f165]) ).
fof(f2619,plain,
( ~ sQ175_spl
| ~ sQ234_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f2608,f900,f2614,f871]) ).
fof(f2620,plain,
( sQ233_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2611,f70]) ).
fof(f2621,plain,
sQ233_spl,
inference(contradiction_clause,[status(thm)],[f2620]) ).
fof(f2629,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ sQ10_spl
| ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ next(e_1,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f909,f153]) ).
fof(f2630,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ next(e_1,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f909,f137]) ).
fof(f2631,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ sQ10_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ next(e_1,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f909,f394]) ).
fof(f2634,definition,
! [X0,X1] :
( sQ235_spl
<=> ( ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2635,plain,
! [X0,X1] :
( ~ sQ235_spl
| ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f2634]) ).
fof(f2637,definition,
( sQ236_spl
<=> next(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2639,plain,
( sQ236_spl
| ~ next(e_1,e_2) ),
inference(component_clause,[status(thm)],[f2637]) ).
fof(f2640,plain,
( ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ236_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f2629,f2634,f2637,f165,f152]) ).
fof(f2641,definition,
( sQ237_spl
<=> next(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f2643,plain,
( sQ237_spl
| ~ next(e_1,e_3) ),
inference(component_clause,[status(thm)],[f2641]) ).
fof(f2644,plain,
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ237_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f2630,f2634,f2641,f165,f136]) ).
fof(f2645,definition,
( sQ238_spl
<=> next(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2647,plain,
( sQ238_spl
| ~ next(e_1,e_4) ),
inference(component_clause,[status(thm)],[f2645]) ).
fof(f2648,plain,
( ~ sQ75_spl
| ~ sQ10_spl
| ~ sQ238_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f2631,f916,f2645,f165,f393]) ).
fof(f2651,plain,
( sQ236_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2639,f60]) ).
fof(f2652,plain,
sQ236_spl,
inference(contradiction_clause,[status(thm)],[f2651]) ).
fof(f2653,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ8_spl
| ~ greater(X1,e_3)
| ~ greater(e_1,X0)
| ~ next(e_1,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f159,f909]) ).
fof(f2659,definition,
! [X0,X1] :
( sQ239_spl
<=> ( ~ greater(X1,e_3)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2660,plain,
! [X0,X1] :
( ~ sQ239_spl
| ~ greater(X1,e_3)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f2659]) ).
fof(f2662,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ236_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f2653,f2659,f2637,f158,f165]) ).
fof(f2665,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ3_spl
| ~ greater(X1,e_3)
| ~ greater(e_1,X0)
| ~ next(e_1,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f143,f909]) ).
fof(f2671,plain,
( ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ237_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f2665,f2659,f2641,f142,f165]) ).
fof(f2674,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ sQ10_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ next(e_4,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f913,f394]) ).
fof(f2677,definition,
( sQ240_spl
<=> next(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2679,plain,
( sQ240_spl
| ~ next(e_4,e_1) ),
inference(component_clause,[status(thm)],[f2677]) ).
fof(f2680,plain,
( ~ sQ75_spl
| ~ sQ10_spl
| ~ sQ240_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f2674,f747,f2677,f165,f393]) ).
fof(f2683,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ10_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f914,f143]) ).
fof(f2684,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ10_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f914,f159]) ).
fof(f2685,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ10_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f914,f394]) ).
fof(f2686,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f914,f166]) ).
fof(f2687,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_1) ),
inference(resolution,[status(thm)],[f914,f82]) ).
fof(f2688,definition,
( sQ241_spl
<=> next(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2690,plain,
( sQ241_spl
| ~ next(e_3,e_1) ),
inference(component_clause,[status(thm)],[f2688]) ).
fof(f2691,plain,
( ~ sQ3_spl
| ~ sQ10_spl
| sQ165_spl
| ~ sQ164_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f2683,f2688,f803,f806,f165,f142]) ).
fof(f2692,definition,
( sQ242_spl
<=> next(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2694,plain,
( sQ242_spl
| ~ next(e_2,e_1) ),
inference(component_clause,[status(thm)],[f2692]) ).
fof(f2695,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| sQ165_spl
| ~ sQ164_spl
| ~ sQ242_spl ),
inference(split_clause,[status(thm)],[f2684,f2692,f803,f806,f165,f158]) ).
fof(f2696,plain,
( ~ sQ75_spl
| ~ sQ10_spl
| sQ171_spl
| ~ sQ170_spl
| ~ sQ240_spl ),
inference(split_clause,[status(thm)],[f2685,f2677,f832,f835,f165,f393]) ).
fof(f2697,plain,
( ~ sQ10_spl
| sQ171_spl
| ~ sQ170_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f2686,f923,f832,f835,f165]) ).
fof(f2698,plain,
( ~ sQ10_spl
| sQ171_spl
| ~ sQ170_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f2687,f927,f832,f835,f165]) ).
fof(f2700,plain,
( ~ sQ3_spl
| ~ sQ181_spl
| ~ greater(e_3,e_0)
| ~ greater(e_1,e_3) ),
inference(resolution,[status(thm)],[f917,f143]) ).
fof(f2701,plain,
( ~ sQ8_spl
| ~ sQ181_spl
| ~ greater(e_3,e_0)
| ~ greater(e_1,e_2) ),
inference(resolution,[status(thm)],[f917,f159]) ).
fof(f2702,plain,
( ~ sQ75_spl
| ~ sQ181_spl
| ~ greater(e_0,e_0)
| ~ greater(e_1,e_4) ),
inference(resolution,[status(thm)],[f917,f394]) ).
fof(f2704,plain,
( ~ sQ181_spl
| ~ greater(e_0,e_0)
| ~ greater(e_1,e_5) ),
inference(resolution,[status(thm)],[f917,f82]) ).
fof(f2705,plain,
( ~ sQ3_spl
| ~ sQ181_spl
| ~ sQ164_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f2700,f1218,f803,f916,f142]) ).
fof(f2706,plain,
( ~ sQ8_spl
| ~ sQ181_spl
| ~ sQ164_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f2701,f1337,f803,f916,f158]) ).
fof(f2707,plain,
( ~ sQ75_spl
| ~ sQ181_spl
| ~ sQ170_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f2702,f1775,f832,f916,f393]) ).
fof(f2709,plain,
( ~ sQ181_spl
| ~ sQ170_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f2704,f2203,f832,f916]) ).
fof(f2710,plain,
( ~ sQ3_spl
| ~ sQ185_spl
| ~ greater(e_3,e_0)
| ~ greater(e_3,e_3) ),
inference(resolution,[status(thm)],[f964,f143]) ).
fof(f2711,plain,
( ~ sQ8_spl
| ~ sQ185_spl
| ~ greater(e_3,e_0)
| ~ greater(e_3,e_2) ),
inference(resolution,[status(thm)],[f964,f159]) ).
fof(f2712,plain,
( ~ sQ75_spl
| ~ sQ185_spl
| ~ greater(e_0,e_0)
| ~ greater(e_3,e_4) ),
inference(resolution,[status(thm)],[f964,f394]) ).
fof(f2713,plain,
( ~ sQ10_spl
| ~ sQ185_spl
| ~ greater(e_0,e_0)
| ~ greater(e_3,e_1) ),
inference(resolution,[status(thm)],[f964,f166]) ).
fof(f2714,plain,
( ~ sQ185_spl
| ~ greater(e_0,e_0)
| ~ greater(e_3,e_5) ),
inference(resolution,[status(thm)],[f964,f82]) ).
fof(f2715,plain,
( ~ sQ3_spl
| ~ sQ185_spl
| ~ sQ164_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f2710,f1187,f803,f963,f142]) ).
fof(f2716,plain,
( ~ sQ8_spl
| ~ sQ185_spl
| ~ sQ164_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f2711,f1309,f803,f963,f158]) ).
fof(f2717,plain,
( ~ sQ75_spl
| ~ sQ185_spl
| ~ sQ170_spl
| ~ sQ220_spl ),
inference(split_clause,[status(thm)],[f2712,f1888,f832,f963,f393]) ).
fof(f2718,plain,
( ~ sQ10_spl
| ~ sQ185_spl
| ~ sQ170_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f2713,f2609,f832,f963,f165]) ).
fof(f2719,definition,
( sQ243_spl
<=> greater(e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2721,plain,
( sQ243_spl
| ~ greater(e_3,e_5) ),
inference(component_clause,[status(thm)],[f2719]) ).
fof(f2722,plain,
( ~ sQ185_spl
| ~ sQ170_spl
| ~ sQ243_spl ),
inference(split_clause,[status(thm)],[f2714,f2719,f832,f963]) ).
fof(f2724,plain,
( ~ sQ132_spl
| ~ sQ142_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f623,f2319]) ).
fof(f2725,plain,
( ~ sQ118_spl
| ~ sQ142_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f623,f1952]) ).
fof(f2732,plain,
( ~ sQ132_spl
| ~ sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2724,f101]) ).
fof(f2733,plain,
( ~ sQ132_spl
| ~ sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f2732]) ).
fof(f2734,plain,
( ~ sQ118_spl
| ~ sQ142_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f2725,f486,f622,f540]) ).
fof(f2735,plain,
( ~ sQ142_spl
| ~ sQ115_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f1977,f623]) ).
fof(f2736,plain,
( ~ sQ142_spl
| ~ sQ92_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1809,f623]) ).
fof(f2737,plain,
( ~ sQ142_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2736,f114]) ).
fof(f2738,plain,
( ~ sQ142_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f2737]) ).
fof(f2740,plain,
( ~ sQ46_spl
| ~ sQ106_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f503,f1563]) ).
fof(f2741,plain,
( ~ sQ43_spl
| ~ sQ106_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f503,f1287]) ).
fof(f2748,plain,
( ~ sQ46_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2740,f113]) ).
fof(f2749,plain,
( ~ sQ46_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f2748]) ).
fof(f2750,plain,
( ~ sQ116_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2054,f96]) ).
fof(f2751,plain,
( ~ sQ116_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f2750]) ).
fof(f2752,plain,
( ~ sQ106_spl
| ~ sQ44_spl
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f1273,f503]) ).
fof(f2753,plain,
( ~ sQ106_spl
| ~ sQ44_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f2752,f644,f282,f502]) ).
fof(f2754,plain,
( ~ sQ43_spl
| ~ sQ106_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f2741,f473,f502,f279]) ).
fof(f2755,plain,
( ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1940,f106]) ).
fof(f2756,plain,
~ sQ119_spl,
inference(contradiction_clause,[status(thm)],[f2755]) ).
fof(f2757,plain,
( ~ sQ142_spl
| ~ sQ116_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f1967,f623]) ).
fof(f2758,plain,
( ~ sQ142_spl
| ~ sQ116_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f2757,f518,f534,f622]) ).
fof(f2759,plain,
( ~ sQ142_spl
| ~ sQ115_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f1977,f623]) ).
fof(f2760,plain,
( ~ sQ142_spl
| ~ sQ52_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1512,f623]) ).
fof(f2761,plain,
( ~ sQ142_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2760,f111]) ).
fof(f2762,plain,
( ~ sQ142_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f2761]) ).
fof(f2763,plain,
( ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1986,f102]) ).
fof(f2764,plain,
~ sQ114_spl,
inference(contradiction_clause,[status(thm)],[f2763]) ).
fof(f2765,plain,
( ~ sQ140_spl
| ~ sQ108_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f2286,f486,f508,f616]) ).
fof(f2767,plain,
( ~ sQ69_spl
| ~ sQ96_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f465,f1619]) ).
fof(f2778,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ sQ75_spl
| ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ next(e_4,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f742,f143]) ).
fof(f2779,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ sQ75_spl
| ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ next(e_4,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f742,f159]) ).
fof(f2783,definition,
! [X0,X1] :
( sQ244_spl
<=> ( ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2784,plain,
! [X0,X1] :
( ~ sQ244_spl
| ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f2783]) ).
fof(f2786,definition,
( sQ245_spl
<=> next(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2788,plain,
( sQ245_spl
| ~ next(e_4,e_3) ),
inference(component_clause,[status(thm)],[f2786]) ).
fof(f2789,plain,
( ~ sQ3_spl
| ~ sQ75_spl
| ~ sQ245_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f2778,f2783,f2786,f393,f142]) ).
fof(f2790,definition,
( sQ246_spl
<=> next(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2792,plain,
( sQ246_spl
| ~ next(e_4,e_2) ),
inference(component_clause,[status(thm)],[f2790]) ).
fof(f2793,plain,
( ~ sQ8_spl
| ~ sQ75_spl
| ~ sQ246_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f2779,f2783,f2790,f393,f158]) ).
fof(f2803,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ75_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f745,f143]) ).
fof(f2804,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ75_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f745,f159]) ).
fof(f2805,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f745,f394]) ).
fof(f2806,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ75_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f745,f166]) ).
fof(f2807,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_4) ),
inference(resolution,[status(thm)],[f745,f82]) ).
fof(f2808,definition,
( sQ247_spl
<=> next(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2810,plain,
( sQ247_spl
| ~ next(e_3,e_4) ),
inference(component_clause,[status(thm)],[f2808]) ).
fof(f2811,plain,
( ~ sQ3_spl
| ~ sQ75_spl
| sQ165_spl
| ~ sQ164_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f2803,f2808,f803,f806,f393,f142]) ).
fof(f2812,definition,
( sQ248_spl
<=> next(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2814,plain,
( sQ248_spl
| ~ next(e_2,e_4) ),
inference(component_clause,[status(thm)],[f2812]) ).
fof(f2815,plain,
( ~ sQ8_spl
| ~ sQ75_spl
| sQ165_spl
| ~ sQ164_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f2804,f2812,f803,f806,f393,f158]) ).
fof(f2816,plain,
( ~ sQ75_spl
| sQ171_spl
| ~ sQ170_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f2805,f750,f832,f835,f393]) ).
fof(f2817,plain,
( ~ sQ10_spl
| ~ sQ75_spl
| sQ171_spl
| ~ sQ170_spl
| ~ sQ238_spl ),
inference(split_clause,[status(thm)],[f2806,f2645,f832,f835,f393,f165]) ).
fof(f2818,plain,
( ~ sQ75_spl
| sQ171_spl
| ~ sQ170_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f2807,f863,f832,f835,f393]) ).
fof(f2819,plain,
( sQ247_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2810,f62]) ).
fof(f2820,plain,
sQ247_spl,
inference(contradiction_clause,[status(thm)],[f2819]) ).
fof(f2821,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ1_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f137,f745]) ).
fof(f2822,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ sQ1_spl
| ~ greater(X1,e_1)
| ~ greater(e_4,X0)
| ~ next(e_4,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f137,f742]) ).
fof(f2823,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ1_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f137,f914]) ).
fof(f2830,plain,
( ~ sQ75_spl
| ~ sQ1_spl
| sQ161_spl
| ~ sQ160_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f2821,f2808,f789,f792,f136,f393]) ).
fof(f2831,definition,
! [X0,X1] :
( sQ249_spl
<=> ( ~ greater(X1,e_1)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2832,plain,
! [X0,X1] :
( ~ sQ249_spl
| ~ greater(X1,e_1)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f2831]) ).
fof(f2834,plain,
( ~ sQ75_spl
| ~ sQ1_spl
| ~ sQ245_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2822,f2831,f2786,f136,f393]) ).
fof(f2835,plain,
( ~ sQ10_spl
| ~ sQ1_spl
| sQ161_spl
| ~ sQ160_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f2823,f2688,f789,f792,f136,f165]) ).
fof(f2839,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ6_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f153,f745]) ).
fof(f2840,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ sQ6_spl
| ~ greater(X1,e_1)
| ~ greater(e_4,X0)
| ~ next(e_4,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f153,f742]) ).
fof(f2841,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ6_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f153,f914]) ).
fof(f2848,plain,
( ~ sQ75_spl
| ~ sQ6_spl
| sQ161_spl
| ~ sQ160_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f2839,f2812,f789,f792,f152,f393]) ).
fof(f2849,plain,
( ~ sQ75_spl
| ~ sQ6_spl
| ~ sQ246_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2840,f2831,f2790,f152,f393]) ).
fof(f2850,plain,
( ~ sQ10_spl
| ~ sQ6_spl
| sQ161_spl
| ~ sQ160_spl
| ~ sQ242_spl ),
inference(split_clause,[status(thm)],[f2841,f2692,f789,f792,f152,f165]) ).
fof(f2855,plain,
( ~ sQ6_spl
| ~ sQ157_spl
| ~ greater(e_1,e_0)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f748,f153]) ).
fof(f2856,plain,
( ~ sQ1_spl
| ~ sQ157_spl
| ~ greater(e_1,e_0)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f748,f137]) ).
fof(f2857,plain,
( ~ sQ75_spl
| ~ sQ157_spl
| ~ greater(e_0,e_0)
| ~ greater(e_4,e_4) ),
inference(resolution,[status(thm)],[f748,f394]) ).
fof(f2860,plain,
( ~ sQ6_spl
| ~ sQ157_spl
| ~ sQ160_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f2855,f1292,f789,f747,f152]) ).
fof(f2861,plain,
( ~ sQ1_spl
| ~ sQ157_spl
| ~ sQ160_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f2856,f1169,f789,f747,f136]) ).
fof(f2862,plain,
( ~ sQ75_spl
| ~ sQ157_spl
| ~ sQ170_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f2857,f1785,f832,f747,f393]) ).
fof(f2865,plain,
( ~ sQ157_spl
| ~ sQ8_spl
| ~ greater(e_3,e_0)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f159,f748]) ).
fof(f2875,plain,
( ~ sQ157_spl
| ~ sQ8_spl
| ~ sQ164_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f2865,f1292,f803,f158,f747]) ).
fof(f2882,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ sQ0_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ next(e_3,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f134,f744]) ).
fof(f2883,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ0_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ next(e_3,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f134,f913]) ).
fof(f2887,plain,
( ~ sQ157_spl
| ~ sQ0_spl
| ~ greater(e_0,e_0)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f134,f748]) ).
fof(f2888,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ0_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f134,f745]) ).
fof(f2889,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ sQ0_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ next(e_4,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f134,f742]) ).
fof(f2890,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ0_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f134,f914]) ).
fof(f2891,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ0_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ next(e_1,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f134,f909]) ).
fof(f2898,plain,
( ~ sQ75_spl
| ~ sQ0_spl
| ~ sQ247_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f2882,f963,f2808,f133,f393]) ).
fof(f2899,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ241_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f2883,f963,f2688,f133,f165]) ).
fof(f2902,plain,
( ~ sQ157_spl
| ~ sQ0_spl
| ~ sQ170_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f2887,f1169,f832,f133,f747]) ).
fof(f2903,plain,
( ~ sQ75_spl
| ~ sQ0_spl
| sQ171_spl
| ~ sQ170_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f2888,f2808,f832,f835,f133,f393]) ).
fof(f2904,plain,
( ~ sQ75_spl
| ~ sQ0_spl
| ~ sQ245_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f2889,f747,f2786,f133,f393]) ).
fof(f2905,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| sQ171_spl
| ~ sQ170_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f2890,f2688,f832,f835,f133,f165]) ).
fof(f2906,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ237_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f2891,f916,f2641,f133,f165]) ).
fof(f2910,plain,
( ~ sQ157_spl
| ~ sQ9_spl
| ~ greater(e_4,e_0)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f162,f748]) ).
fof(f2911,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ9_spl
| equalish(e_4,X0)
| ~ next(e_0,X0)
| ~ greater(e_4,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f162,f745]) ).
fof(f2912,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ sQ9_spl
| ~ greater(X1,e_4)
| ~ greater(e_4,X0)
| ~ next(e_4,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f162,f742]) ).
fof(f2913,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ9_spl
| equalish(e_4,X0)
| ~ next(e_0,X0)
| ~ greater(e_4,e_0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f162,f914]) ).
fof(f2914,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ9_spl
| ~ greater(X1,e_4)
| ~ greater(e_1,X0)
| ~ next(e_1,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f162,f909]) ).
fof(f2920,plain,
( ~ sQ157_spl
| ~ sQ9_spl
| ~ sQ166_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f2910,f1292,f810,f161,f747]) ).
fof(f2921,plain,
( ~ sQ75_spl
| ~ sQ9_spl
| sQ167_spl
| ~ sQ166_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f2911,f2812,f810,f813,f161,f393]) ).
fof(f2922,definition,
! [X0,X1] :
( sQ250_spl
<=> ( ~ greater(X1,e_4)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2923,plain,
! [X0,X1] :
( ~ sQ250_spl
| ~ greater(X1,e_4)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f2922]) ).
fof(f2925,plain,
( ~ sQ75_spl
| ~ sQ9_spl
| ~ sQ246_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2912,f2922,f2790,f161,f393]) ).
fof(f2926,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| sQ167_spl
| ~ sQ166_spl
| ~ sQ242_spl ),
inference(split_clause,[status(thm)],[f2913,f2692,f810,f813,f161,f165]) ).
fof(f2927,definition,
! [X0,X1] :
( sQ251_spl
<=> ( ~ greater(X1,e_4)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2928,plain,
! [X0,X1] :
( ~ sQ251_spl
| ~ greater(X1,e_4)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f2927]) ).
fof(f2930,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ236_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2914,f2927,f2637,f161,f165]) ).
fof(f2933,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ2_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f140,f914]) ).
fof(f2934,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ2_spl
| ~ greater(X1,e_2)
| ~ greater(e_1,X0)
| ~ next(e_1,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f140,f909]) ).
fof(f2940,plain,
( ~ sQ10_spl
| ~ sQ2_spl
| sQ163_spl
| ~ sQ162_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f2933,f2688,f796,f799,f139,f165]) ).
fof(f2941,definition,
! [X0,X1] :
( sQ252_spl
<=> ( ~ greater(X1,e_2)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2942,plain,
! [X0,X1] :
( ~ sQ252_spl
| ~ greater(X1,e_2)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f2941]) ).
fof(f2944,plain,
( ~ sQ10_spl
| ~ sQ2_spl
| ~ sQ237_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f2934,f2941,f2641,f139,f165]) ).
fof(f2947,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ76_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f397,f914]) ).
fof(f2948,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ76_spl
| ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ next(e_1,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f397,f909]) ).
fof(f2949,plain,
! [X0,X1] :
( ~ sQ76_spl
| ~ greater(X1,e_1)
| ~ greater(e_5,X0)
| ~ next(e_5,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f397,f651]) ).
fof(f2954,plain,
( ~ sQ10_spl
| ~ sQ76_spl
| sQ161_spl
| ~ sQ160_spl
| ~ sQ240_spl ),
inference(split_clause,[status(thm)],[f2947,f2677,f789,f792,f396,f165]) ).
fof(f2955,plain,
( ~ sQ10_spl
| ~ sQ76_spl
| ~ sQ238_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f2948,f2634,f2645,f396,f165]) ).
fof(f2956,plain,
( ~ sQ76_spl
| ~ sQ173_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f2949,f871,f863,f396]) ).
fof(f2972,plain,
( ~ sQ43_spl
| ~ sQ148_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f642,f1284]) ).
fof(f2980,plain,
( ~ sQ43_spl
| ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2972,f112]) ).
fof(f2981,plain,
( ~ sQ43_spl
| ~ sQ148_spl ),
inference(contradiction_clause,[status(thm)],[f2980]) ).
fof(f2984,plain,
( ~ sQ148_spl
| ~ sQ100_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f2113,f642]) ).
fof(f2985,plain,
( ~ sQ148_spl
| ~ sQ100_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f2984,f499,f483,f641]) ).
fof(f2986,plain,
( ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2077,f110]) ).
fof(f2987,plain,
~ sQ104_spl,
inference(contradiction_clause,[status(thm)],[f2986]) ).
fof(f2988,plain,
( ~ sQ148_spl
| ~ sQ101_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f2105,f642]) ).
fof(f2991,plain,
( ~ sQ110_spl
| ~ sQ136_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f604,f2021]) ).
fof(f2992,plain,
( ~ sQ46_spl
| ~ sQ136_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f604,f1562]) ).
fof(f2998,plain,
( ~ sQ46_spl
| ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2992,f111]) ).
fof(f2999,plain,
( ~ sQ46_spl
| ~ sQ136_spl ),
inference(contradiction_clause,[status(thm)],[f2998]) ).
fof(f3001,plain,
( ~ sQ53_spl
| ~ sQ110_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f516,f1508]) ).
fof(f3010,plain,
( ~ sQ26_spl
| ~ sQ107_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f506,f1198]) ).
fof(f3021,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ2_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f943,f153]) ).
fof(f3022,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ2_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f943,f397]) ).
fof(f3023,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ greater(e_2,e_0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f943,f140]) ).
fof(f3024,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ2_spl
| equalish(e_0,X0)
| ~ next(e_2,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f943,f166]) ).
fof(f3025,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_0,X0)
| ~ next(e_2,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_3) ),
inference(resolution,[status(thm)],[f943,f82]) ).
fof(f3026,definition,
( sQ253_spl
<=> next(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f3028,plain,
( sQ253_spl
| ~ next(e_2,e_3) ),
inference(component_clause,[status(thm)],[f3026]) ).
fof(f3029,plain,
( ~ sQ6_spl
| ~ sQ2_spl
| sQ206_spl
| ~ sQ160_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f3021,f3026,f789,f1333,f139,f152]) ).
fof(f3030,plain,
( ~ sQ76_spl
| ~ sQ2_spl
| sQ206_spl
| ~ sQ160_spl
| ~ sQ245_spl ),
inference(split_clause,[status(thm)],[f3022,f2786,f789,f1333,f139,f396]) ).
fof(f3031,plain,
( ~ sQ2_spl
| sQ208_spl
| ~ sQ162_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f3023,f967,f796,f1343,f139]) ).
fof(f3032,definition,
! [X0] :
( sQ254_spl
<=> ( equalish(e_0,X0)
| ~ next(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f3033,plain,
! [X0] :
( ~ sQ254_spl
| equalish(e_0,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f3032]) ).
fof(f3035,plain,
( ~ sQ10_spl
| ~ sQ2_spl
| sQ254_spl
| ~ sQ170_spl
| ~ sQ237_spl ),
inference(split_clause,[status(thm)],[f3024,f2641,f832,f3032,f139,f165]) ).
fof(f3036,plain,
( ~ sQ2_spl
| sQ254_spl
| ~ sQ170_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f3025,f867,f832,f3032,f139]) ).
fof(f3054,plain,
( ~ sQ107_spl
| ~ sQ130_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f585,f2046]) ).
fof(f3060,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ76_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f739,f137]) ).
fof(f3061,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ76_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f739,f153]) ).
fof(f3062,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f739,f397]) ).
fof(f3063,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ76_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f739,f166]) ).
fof(f3064,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_4) ),
inference(resolution,[status(thm)],[f739,f82]) ).
fof(f3065,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| sQ154_spl
| ~ sQ160_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f3060,f2808,f789,f669,f396,f136]) ).
fof(f3066,plain,
( ~ sQ6_spl
| ~ sQ76_spl
| sQ154_spl
| ~ sQ160_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f3061,f2812,f789,f669,f396,f152]) ).
fof(f3067,plain,
( ~ sQ76_spl
| sQ154_spl
| ~ sQ160_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f3062,f750,f789,f669,f396]) ).
fof(f3068,definition,
! [X0] :
( sQ255_spl
<=> ( equalish(e_0,X0)
| ~ next(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f3069,plain,
! [X0] :
( ~ sQ255_spl
| equalish(e_0,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f3068]) ).
fof(f3071,plain,
( ~ sQ10_spl
| ~ sQ76_spl
| sQ255_spl
| ~ sQ170_spl
| ~ sQ238_spl ),
inference(split_clause,[status(thm)],[f3063,f2645,f832,f3068,f396,f165]) ).
fof(f3072,plain,
( ~ sQ76_spl
| sQ255_spl
| ~ sQ170_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f3064,f863,f832,f3068,f396]) ).
fof(f3073,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ3_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ greater(e_3,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f143,f739]) ).
fof(f3081,definition,
! [X0] :
( sQ256_spl
<=> ( equalish(e_3,X0)
| ~ next(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f3082,plain,
! [X0] :
( ~ sQ256_spl
| equalish(e_3,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f3081]) ).
fof(f3084,plain,
( ~ sQ76_spl
| ~ sQ3_spl
| sQ256_spl
| ~ sQ164_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f3073,f2808,f803,f3081,f142,f396]) ).
fof(f3089,plain,
( ~ sQ148_spl
| ~ sQ101_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f2988,f515,f486,f641]) ).
fof(f3091,plain,
( ~ sQ102_spl
| ~ sQ74_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f2136,f596,f389,f489]) ).
fof(f3092,plain,
( sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3028,f61]) ).
fof(f3093,plain,
sQ253_spl,
inference(contradiction_clause,[status(thm)],[f3092]) ).
fof(f3094,plain,
( ~ sQ110_spl
| ~ sQ136_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f2991,f505,f603,f515]) ).
fof(f3095,plain,
( ~ sQ69_spl
| ~ sQ101_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f2100,f596,f486,f373]) ).
fof(f3096,plain,
( ~ sQ136_spl
| ~ sQ110_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f2021,f604]) ).
fof(f3097,plain,
! [X0,X1] :
( ~ sQ26_spl
| ~ sQ107_spl
| equalish(e_5,X1)
| ~ next(e_2,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f3010,f89]) ).
fof(f3098,plain,
( ~ sQ26_spl
| ~ sQ107_spl
| ~ greater(e_5,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f3010,f87]) ).
fof(f3099,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ107_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3010,f121]) ).
fof(f3100,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ107_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f3010,f119]) ).
fof(f3101,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ107_spl
| equalish(X0,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f3010,f117]) ).
fof(f3102,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ107_spl
| product(e_5,e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f3010,f124]) ).
fof(f3103,plain,
( ~ sQ26_spl
| ~ sQ107_spl
| sQ201_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f3097,f1274,f1277,f505,f222]) ).
fof(f3104,plain,
( ~ sQ26_spl
| ~ sQ107_spl
| ~ sQ179_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3098,f149,f896,f505,f222]) ).
fof(f3105,plain,
( ~ sQ26_spl
| ~ sQ107_spl
| ~ sQ142_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f2231,f3010]) ).
fof(f3106,plain,
! [X0,X1] :
( ~ sQ76_spl
| ~ sQ0_spl
| ~ greater(X1,e_1)
| ~ greater(e_3,X0)
| ~ next(e_3,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f134,f738]) ).
fof(f3111,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ0_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f134,f739]) ).
fof(f3120,definition,
! [X0,X1] :
( sQ257_spl
<=> ( ~ greater(X1,e_1)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f3121,plain,
! [X0,X1] :
( ~ sQ257_spl
| ~ greater(X1,e_1)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f3120]) ).
fof(f3123,plain,
( ~ sQ76_spl
| ~ sQ0_spl
| ~ sQ247_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f3106,f3120,f2808,f133,f396]) ).
fof(f3127,plain,
( ~ sQ76_spl
| ~ sQ0_spl
| sQ255_spl
| ~ sQ170_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f3111,f2808,f832,f3068,f133,f396]) ).
fof(f3133,plain,
( ~ sQ86_spl
| ~ sQ118_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1947,f250,f540,f432]) ).
fof(f3134,plain,
( ~ sQ34_spl
| ~ sQ71_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f1600,f609,f380,f250]) ).
fof(f3135,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ9_spl
| equalish(e_4,X0)
| ~ next(e_1,X0)
| ~ greater(e_4,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f162,f739]) ).
fof(f3143,definition,
! [X0] :
( sQ258_spl
<=> ( equalish(e_4,X0)
| ~ next(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f3144,plain,
! [X0] :
( ~ sQ258_spl
| equalish(e_4,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f3143]) ).
fof(f3146,plain,
( ~ sQ76_spl
| ~ sQ9_spl
| sQ258_spl
| ~ sQ166_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f3135,f2812,f810,f3143,f161,f396]) ).
fof(f3151,plain,
( ~ sQ136_spl
| ~ sQ131_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f2326,f604]) ).
fof(f3152,plain,
( ~ sQ136_spl
| ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3151,f105]) ).
fof(f3153,plain,
( ~ sQ136_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f3152]) ).
fof(f3154,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ110_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3001,f121]) ).
fof(f3155,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ110_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f3001,f119]) ).
fof(f3156,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ110_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f3001,f117]) ).
fof(f3157,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ110_spl
| product(e_5,e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3001,f124]) ).
fof(f3158,plain,
( ~ sQ53_spl
| ~ sQ110_spl
| ~ sQ130_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f2335,f3001]) ).
fof(f3162,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ2_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ greater(e_2,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f140,f739]) ).
fof(f3170,definition,
! [X0] :
( sQ259_spl
<=> ( equalish(e_2,X0)
| ~ next(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f3171,plain,
! [X0] :
( ~ sQ259_spl
| equalish(e_2,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f3170]) ).
fof(f3173,plain,
( ~ sQ76_spl
| ~ sQ2_spl
| sQ259_spl
| ~ sQ162_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f3162,f2808,f796,f3170,f139,f396]) ).
fof(f3180,plain,
( ~ sQ67_spl
| ~ sQ101_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f487,f1634]) ).
fof(f3197,plain,
( ~ sQ118_spl
| ~ sQ142_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f623,f1952]) ).
fof(f3207,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| equalish(e_2,X0)
| ~ next(e_4,X0)
| ~ greater(e_2,e_0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f701,f140]) ).
fof(f3208,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_4,X0)
| ~ next(e_4,X0)
| ~ greater(e_4,e_0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f701,f162]) ).
fof(f3209,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ9_spl
| equalish(e_1,X0)
| ~ next(e_4,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f701,f397]) ).
fof(f3210,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ9_spl
| equalish(e_0,X0)
| ~ next(e_4,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f701,f166]) ).
fof(f3211,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_0,X0)
| ~ next(e_4,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_2) ),
inference(resolution,[status(thm)],[f701,f82]) ).
fof(f3212,definition,
( sQ260_spl
<=> next(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f3214,plain,
( sQ260_spl
| ~ next(e_3,e_2) ),
inference(component_clause,[status(thm)],[f3212]) ).
fof(f3215,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| sQ213_spl
| ~ sQ162_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f3207,f3212,f796,f1756,f161,f139]) ).
fof(f3216,plain,
( ~ sQ9_spl
| sQ217_spl
| ~ sQ166_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f3208,f721,f810,f1781,f161]) ).
fof(f3217,plain,
( ~ sQ76_spl
| ~ sQ9_spl
| sQ215_spl
| ~ sQ160_spl
| ~ sQ246_spl ),
inference(split_clause,[status(thm)],[f3209,f2790,f789,f1771,f161,f396]) ).
fof(f3218,definition,
! [X0] :
( sQ261_spl
<=> ( equalish(e_0,X0)
| ~ next(e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f3219,plain,
! [X0] :
( ~ sQ261_spl
| equalish(e_0,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f3218]) ).
fof(f3221,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| sQ261_spl
| ~ sQ170_spl
| ~ sQ236_spl ),
inference(split_clause,[status(thm)],[f3210,f2637,f832,f3218,f161,f165]) ).
fof(f3222,plain,
( ~ sQ9_spl
| sQ261_spl
| ~ sQ170_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f3211,f874,f832,f3218,f161]) ).
fof(f3226,plain,
( ~ sQ136_spl
| ~ sQ74_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f390,f2275]) ).
fof(f3232,plain,
( ~ sQ136_spl
| ~ sQ74_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f3226,f247,f389,f603]) ).
fof(f3233,definition,
! [X1] :
( sQ262_spl
<=> ( equalish(e_2,X1)
| ~ next(e_5,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f3234,plain,
! [X0] :
( ~ sQ262_spl
| equalish(e_2,X0)
| ~ next(e_5,X0) ),
inference(component_clause,[status(thm)],[f3233]) ).
fof(f3236,plain,
( ~ sQ146_spl
| sQ262_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f2182,f2124,f3233,f635]) ).
fof(f3237,plain,
( ~ sQ146_spl
| ~ sQ228_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f2183,f547,f2400,f635]) ).
fof(f3238,plain,
( ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2309,f114]) ).
fof(f3239,plain,
~ sQ133_spl,
inference(contradiction_clause,[status(thm)],[f3238]) ).
fof(f3240,definition,
! [X1] :
( sQ263_spl
<=> ( equalish(e_3,X1)
| ~ next(e_5,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f3241,plain,
! [X0] :
( ~ sQ263_spl
| equalish(e_3,X0)
| ~ next(e_5,X0) ),
inference(component_clause,[status(thm)],[f3240]) ).
fof(f3243,plain,
( ~ sQ147_spl
| sQ263_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f2170,f2124,f3240,f638]) ).
fof(f3244,plain,
( ~ sQ147_spl
| ~ sQ243_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f2171,f547,f2719,f638]) ).
fof(f3245,plain,
( ~ sQ107_spl
| ~ sQ130_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f3054,f540,f584,f505]) ).
fof(f3246,plain,
( ~ sQ67_spl
| ~ sQ101_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f3180,f389,f486,f367]) ).
fof(f3247,plain,
( ~ sQ136_spl
| ~ sQ110_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f2021,f604]) ).
fof(f3248,plain,
( ~ sQ67_spl
| ~ sQ118_spl
| ~ sQ142_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f3197,f1634]) ).
fof(f3249,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ142_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f3197,f121]) ).
fof(f3250,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ142_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f3197,f119]) ).
fof(f3251,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ142_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f3197,f117]) ).
fof(f3252,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ142_spl
| product(e_2,e_5,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f3197,f124]) ).
fof(f3258,plain,
( ~ sQ44_spl
| ~ sQ53_spl
| ~ sQ110_spl
| ~ sQ130_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f3158,f1273]) ).
fof(f3259,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ110_spl
| ~ sQ130_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f3158,f121]) ).
fof(f3260,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ110_spl
| ~ sQ130_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f3158,f119]) ).
fof(f3261,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ110_spl
| ~ sQ130_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f3158,f117]) ).
fof(f3262,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ110_spl
| ~ sQ130_spl
| product(e_2,e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f3158,f124]) ).
fof(f3267,plain,
( ~ sQ48_spl
| ~ sQ20_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f204,f1544]) ).
fof(f3274,plain,
( ~ sQ48_spl
| ~ sQ20_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f3267,f432,f203,f298]) ).
fof(f3275,plain,
( ~ sQ26_spl
| ~ sQ107_spl
| ~ sQ142_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f3105,f203,f622,f505,f222]) ).
fof(f3277,plain,
( ~ sQ26_spl
| ~ sQ107_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f506,f1198]) ).
fof(f3296,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ2_spl
| equalish(e_4,X0)
| ~ next(e_2,X0)
| ~ greater(e_4,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f943,f162]) ).
fof(f3301,plain,
( ~ sQ9_spl
| ~ sQ2_spl
| sQ202_spl
| ~ sQ166_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f3296,f3026,f810,f1288,f139,f161]) ).
fof(f3305,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ8_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f159,f943]) ).
fof(f3306,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ8_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f159,f739]) ).
fof(f3314,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| sQ204_spl
| ~ sQ164_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f3305,f3026,f803,f1305,f158,f139]) ).
fof(f3315,plain,
( ~ sQ76_spl
| ~ sQ8_spl
| sQ256_spl
| ~ sQ164_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f3306,f2812,f803,f3081,f158,f396]) ).
fof(f3321,plain,
( ~ sQ142_spl
| ~ sQ44_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f283,f2231]) ).
fof(f3341,plain,
( ~ sQ20_spl
| ~ sQ67_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f368,f1257]) ).
fof(f3350,plain,
( ~ sQ107_spl
| ~ sQ130_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f585,f2046]) ).
fof(f3358,plain,
( ~ sQ33_spl
| ~ sQ26_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f223,f1417]) ).
fof(f3370,plain,
( ~ sQ101_spl
| ~ sQ148_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f642,f2105]) ).
fof(f3390,plain,
( ~ sQ74_spl
| ~ sQ97_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f468,f1578]) ).
fof(f3402,plain,
( ~ sQ85_spl
| ~ sQ118_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f541,f1871]) ).
fof(f3418,plain,
( ~ sQ136_spl
| ~ sQ74_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f390,f2275]) ).
fof(f3426,plain,
( ~ sQ61_spl
| ~ sQ85_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f430,f1690]) ).
fof(f3434,plain,
( ~ sQ53_spl
| ~ sQ110_spl
| ~ sQ33_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f248,f3157]) ).
fof(f3442,plain,
( ~ sQ49_spl
| ~ sQ20_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f204,f1540]) ).
fof(f3456,plain,
( ~ sQ2_spl
| ~ sQ190_spl
| ~ greater(e_2,e_0) ),
inference(resolution,[status(thm)],[f1152,f140]) ).
fof(f3457,plain,
( ~ sQ2_spl
| ~ sQ190_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f3456,f796,f1151,f139]) ).
fof(f3458,plain,
( ~ sQ20_spl
| ~ sQ67_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f3341,f314,f367,f203]) ).
fof(f3459,plain,
( ~ sQ33_spl
| ~ sQ94_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f1794,f248]) ).
fof(f3460,plain,
( ~ sQ110_spl
| ~ sQ53_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f1508,f516]) ).
fof(f3465,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_3,X0)
| ~ next(e_3,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f704,f159]) ).
fof(f3466,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ8_spl
| equalish(e_2,X0)
| ~ next(e_3,X0)
| ~ greater(e_2,e_0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f704,f140]) ).
fof(f3467,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ8_spl
| equalish(e_1,X0)
| ~ next(e_3,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f704,f397]) ).
fof(f3468,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ8_spl
| equalish(e_0,X0)
| ~ next(e_3,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f704,f166]) ).
fof(f3469,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_0,X0)
| ~ next(e_3,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_2) ),
inference(resolution,[status(thm)],[f704,f82]) ).
fof(f3470,plain,
( ~ sQ8_spl
| sQ194_spl
| ~ sQ164_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f3465,f721,f803,f1183,f158]) ).
fof(f3471,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| sQ196_spl
| ~ sQ162_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f3466,f3212,f796,f1199,f158,f139]) ).
fof(f3472,plain,
( ~ sQ76_spl
| ~ sQ8_spl
| sQ198_spl
| ~ sQ160_spl
| ~ sQ246_spl ),
inference(split_clause,[status(thm)],[f3467,f2790,f789,f1214,f158,f396]) ).
fof(f3473,definition,
! [X0] :
( sQ264_spl
<=> ( equalish(e_0,X0)
| ~ next(e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f3474,plain,
! [X0] :
( ~ sQ264_spl
| equalish(e_0,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f3473]) ).
fof(f3476,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| sQ264_spl
| ~ sQ170_spl
| ~ sQ236_spl ),
inference(split_clause,[status(thm)],[f3468,f2637,f832,f3473,f158,f165]) ).
fof(f3477,plain,
( ~ sQ8_spl
| sQ264_spl
| ~ sQ170_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f3469,f874,f832,f3473,f158]) ).
fof(f3481,plain,
( ~ sQ130_spl
| ~ sQ94_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f458,f2335]) ).
fof(f3489,plain,
( ~ sQ44_spl
| ~ sQ61_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f349,f1273]) ).
fof(f3497,plain,
( ~ sQ97_spl
| ~ sQ53_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f315,f1745]) ).
fof(f3503,plain,
( ~ sQ8_spl
| ~ sQ200_spl
| ~ greater(e_3,e_0) ),
inference(resolution,[status(thm)],[f1275,f159]) ).
fof(f3504,plain,
( ~ sQ8_spl
| ~ sQ200_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f3503,f803,f1274,f158]) ).
fof(f3505,plain,
( ~ sQ200_spl
| ~ sQ9_spl
| ~ greater(e_4,e_0) ),
inference(resolution,[status(thm)],[f162,f1275]) ).
fof(f3515,plain,
( ~ sQ200_spl
| ~ sQ9_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f3505,f810,f161,f1274]) ).
fof(f3522,plain,
( ~ sQ200_spl
| ~ sQ7_spl
| ~ greater(e_2,e_0) ),
inference(resolution,[status(thm)],[f156,f1275]) ).
fof(f3523,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ7_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f156,f943]) ).
fof(f3524,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ7_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f156,f739]) ).
fof(f3525,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ7_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f156,f914]) ).
fof(f3526,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ7_spl
| ~ greater(X1,e_2)
| ~ greater(e_1,X0)
| ~ next(e_1,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f156,f909]) ).
fof(f3532,plain,
( ~ sQ200_spl
| ~ sQ7_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f3522,f796,f155,f1274]) ).
fof(f3533,plain,
( ~ sQ2_spl
| ~ sQ7_spl
| sQ208_spl
| ~ sQ162_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f3523,f3026,f796,f1343,f155,f139]) ).
fof(f3534,plain,
( ~ sQ76_spl
| ~ sQ7_spl
| sQ259_spl
| ~ sQ162_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f3524,f2812,f796,f3170,f155,f396]) ).
fof(f3535,plain,
( ~ sQ10_spl
| ~ sQ7_spl
| sQ163_spl
| ~ sQ162_spl
| ~ sQ242_spl ),
inference(split_clause,[status(thm)],[f3525,f2692,f796,f799,f155,f165]) ).
fof(f3536,plain,
( ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ236_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f3526,f2941,f2637,f155,f165]) ).
fof(f3568,plain,
( ~ sQ76_spl
| ~ sQ211_spl
| ~ greater(e_1,e_0) ),
inference(resolution,[status(thm)],[f1713,f397]) ).
fof(f3569,plain,
( ~ sQ76_spl
| ~ sQ211_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f3568,f789,f1712,f396]) ).
fof(f3570,plain,
( ~ sQ74_spl
| ~ sQ97_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f3390,f584,f467,f389]) ).
fof(f3571,plain,
( ~ sQ30_spl
| ~ sQ54_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1503,f622,f317,f238]) ).
fof(f3572,plain,
( ~ sQ97_spl
| ~ sQ53_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f3497,f222,f314,f467]) ).
fof(f3574,plain,
( ~ sQ53_spl
| ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2220,f111]) ).
fof(f3575,plain,
( ~ sQ53_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f3574]) ).
fof(f3576,plain,
( ~ sQ48_spl
| ~ sQ138_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2258,f111]) ).
fof(f3577,plain,
( ~ sQ48_spl
| ~ sQ138_spl ),
inference(contradiction_clause,[status(thm)],[f3576]) ).
fof(f3578,plain,
( ~ sQ97_spl
| ~ sQ71_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1604,f468]) ).
fof(f3592,plain,
( ~ sQ97_spl
| ~ sQ92_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1810,f468]) ).
fof(f3593,plain,
( ~ sQ97_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3592,f95]) ).
fof(f3594,plain,
( ~ sQ97_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f3593]) ).
fof(f3595,plain,
( ~ sQ53_spl
| ~ sQ110_spl
| ~ sQ130_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f3158,f348,f584,f515,f314]) ).
fof(f3596,plain,
( ~ sQ130_spl
| ~ sQ94_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f3481,f348,f457,f584]) ).
fof(f3597,plain,
( ~ sQ142_spl
| ~ sQ26_spl
| ~ sQ107_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f3277,f2231]) ).
fof(f3606,plain,
( ~ sQ64_spl
| ~ sQ67_spl
| ~ sQ118_spl
| ~ sQ142_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f3248,f1659]) ).
fof(f3607,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ118_spl
| ~ sQ142_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3248,f121]) ).
fof(f3608,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ118_spl
| ~ sQ142_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f3248,f119]) ).
fof(f3609,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ118_spl
| ~ sQ142_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f3248,f117]) ).
fof(f3610,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ118_spl
| ~ sQ142_spl
| product(e_5,e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f3248,f124]) ).
fof(f3611,plain,
( ~ sQ64_spl
| ~ sQ67_spl
| ~ sQ118_spl
| ~ sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3606,f103]) ).
fof(f3612,plain,
( ~ sQ64_spl
| ~ sQ67_spl
| ~ sQ118_spl
| ~ sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f3611]) ).
fof(f3613,plain,
( ~ sQ97_spl
| ~ sQ70_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f1611,f468]) ).
fof(f3614,plain,
( ~ sQ97_spl
| ~ sQ70_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f3613,f345,f377,f467]) ).
fof(f3615,plain,
( ~ sQ44_spl
| ~ sQ53_spl
| ~ sQ110_spl
| ~ sQ130_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f3258,f641,f584,f515,f314,f282]) ).
fof(f3616,plain,
( ~ sQ44_spl
| ~ sQ61_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f3489,f641,f348,f282]) ).
fof(f3617,plain,
( ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2352,f110]) ).
fof(f3618,plain,
~ sQ128_spl,
inference(contradiction_clause,[status(thm)],[f3617]) ).
fof(f3628,plain,
! [X0] :
( ~ sQ142_spl
| ~ sQ26_spl
| ~ sQ107_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f3597,f121]) ).
fof(f3629,plain,
! [X0] :
( ~ sQ142_spl
| ~ sQ26_spl
| ~ sQ107_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f3597,f119]) ).
fof(f3630,plain,
! [X0] :
( ~ sQ142_spl
| ~ sQ26_spl
| ~ sQ107_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f3597,f117]) ).
fof(f3631,plain,
! [X0] :
( ~ sQ142_spl
| ~ sQ26_spl
| ~ sQ107_spl
| product(e_1,e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f3597,f124]) ).
fof(f3632,plain,
( ~ sQ142_spl
| ~ sQ26_spl
| ~ sQ107_spl
| ~ sQ49_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f1540,f3597]) ).
fof(f3633,plain,
( ~ sQ97_spl
| ~ sQ74_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f1578,f468]) ).
fof(f3634,plain,
( ~ sQ85_spl
| ~ sQ107_spl
| ~ sQ130_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f3350,f1871]) ).
fof(f3635,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ130_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f3350,f121]) ).
fof(f3636,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ130_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f3350,f119]) ).
fof(f3637,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ130_spl
| equalish(X0,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f3350,f117]) ).
fof(f3638,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ130_spl
| product(e_4,e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f3350,f124]) ).
fof(f3639,plain,
( ~ sQ130_spl
| ~ sQ110_spl
| ~ sQ53_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f3460,f2335]) ).
fof(f3644,plain,
! [X0] :
( ~ sQ136_spl
| ~ sQ74_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3418,f121]) ).
fof(f3645,plain,
! [X0] :
( ~ sQ136_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3418,f119]) ).
fof(f3646,plain,
! [X0] :
( ~ sQ136_spl
| ~ sQ74_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f3418,f117]) ).
fof(f3647,plain,
! [X0] :
( ~ sQ136_spl
| ~ sQ74_spl
| product(e_4,e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f3418,f124]) ).
fof(f3648,plain,
( ~ sQ110_spl
| ~ sQ49_spl
| ~ sQ20_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f3442,f2021]) ).
fof(f3649,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ20_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f3442,f121]) ).
fof(f3650,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f3442,f119]) ).
fof(f3651,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ20_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f3442,f117]) ).
fof(f3652,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ20_spl
| product(e_2,e_3,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f3442,f124]) ).
fof(f3653,plain,
( ~ sQ67_spl
| ~ sQ118_spl
| ~ sQ142_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f3197,f1634]) ).
fof(f3675,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ3_spl
| equalish(e_1,X0)
| ~ next(e_3,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f936,f153]) ).
fof(f3676,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_3,X0)
| ~ next(e_3,X0)
| ~ greater(e_3,e_0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f936,f143]) ).
fof(f3677,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ3_spl
| equalish(e_1,X0)
| ~ next(e_3,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f936,f397]) ).
fof(f3678,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ3_spl
| equalish(e_0,X0)
| ~ next(e_3,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f936,f166]) ).
fof(f3679,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_0,X0)
| ~ next(e_3,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_3) ),
inference(resolution,[status(thm)],[f936,f82]) ).
fof(f3680,plain,
( ~ sQ6_spl
| ~ sQ3_spl
| sQ198_spl
| ~ sQ160_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f3675,f3026,f789,f1214,f142,f152]) ).
fof(f3681,plain,
( ~ sQ3_spl
| sQ194_spl
| ~ sQ164_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f3676,f967,f803,f1183,f142]) ).
fof(f3682,plain,
( ~ sQ76_spl
| ~ sQ3_spl
| sQ198_spl
| ~ sQ160_spl
| ~ sQ245_spl ),
inference(split_clause,[status(thm)],[f3677,f2786,f789,f1214,f142,f396]) ).
fof(f3683,plain,
( ~ sQ10_spl
| ~ sQ3_spl
| sQ264_spl
| ~ sQ170_spl
| ~ sQ237_spl ),
inference(split_clause,[status(thm)],[f3678,f2641,f832,f3473,f142,f165]) ).
fof(f3684,plain,
( ~ sQ3_spl
| sQ264_spl
| ~ sQ170_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f3679,f867,f832,f3473,f142]) ).
fof(f3689,plain,
( ~ sQ136_spl
| ~ sQ74_spl
| ~ sQ53_spl
| ~ sQ110_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f3157,f3418]) ).
fof(f3710,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f710,f153]) ).
fof(f3711,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ6_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ greater(e_3,e_0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f710,f143]) ).
fof(f3712,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ6_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f710,f397]) ).
fof(f3713,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ6_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f710,f166]) ).
fof(f3714,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_2) ),
inference(resolution,[status(thm)],[f710,f82]) ).
fof(f3715,plain,
( ~ sQ6_spl
| sQ154_spl
| ~ sQ160_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f3710,f721,f789,f669,f152]) ).
fof(f3716,plain,
( ~ sQ3_spl
| ~ sQ6_spl
| sQ256_spl
| ~ sQ164_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f3711,f3212,f803,f3081,f152,f142]) ).
fof(f3717,plain,
( ~ sQ76_spl
| ~ sQ6_spl
| sQ154_spl
| ~ sQ160_spl
| ~ sQ246_spl ),
inference(split_clause,[status(thm)],[f3712,f2790,f789,f669,f152,f396]) ).
fof(f3718,plain,
( ~ sQ10_spl
| ~ sQ6_spl
| sQ255_spl
| ~ sQ170_spl
| ~ sQ236_spl ),
inference(split_clause,[status(thm)],[f3713,f2637,f832,f3068,f152,f165]) ).
fof(f3719,plain,
( ~ sQ6_spl
| sQ255_spl
| ~ sQ170_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f3714,f874,f832,f3068,f152]) ).
fof(f3725,plain,
( ~ sQ33_spl
| ~ sQ26_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f223,f1417]) ).
fof(f3745,plain,
( ~ sQ97_spl
| ~ sQ53_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f315,f1745]) ).
fof(f3753,plain,
( ~ sQ20_spl
| ~ sQ67_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f368,f1257]) ).
fof(f3761,plain,
( ~ sQ148_spl
| ~ sQ49_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f302,f2156]) ).
fof(f3801,plain,
( ~ sQ26_spl
| ~ sQ107_spl
| ~ sQ61_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f349,f3102]) ).
fof(f3803,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f349,f121]) ).
fof(f3804,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f349,f119]) ).
fof(f3805,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f349,f117]) ).
fof(f3806,plain,
! [X0] :
( ~ sQ61_spl
| product(e_2,e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f349,f124]) ).
fof(f3809,plain,
( ~ sQ53_spl
| ~ sQ110_spl
| ~ sQ130_spl
| ~ sQ85_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f430,f3262]) ).
fof(f3817,plain,
( ~ sQ118_spl
| ~ sQ142_spl
| ~ sQ148_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f642,f3252]) ).
fof(f3827,plain,
( ~ sQ221_spl
| ~ greater(e_0,e_0) ),
inference(resolution,[status(thm)],[f2125,f82]) ).
fof(f3828,plain,
( ~ sQ6_spl
| ~ sQ235_spl
| ~ greater(e_1,e_1)
| ~ greater(e_1,e_2) ),
inference(resolution,[status(thm)],[f2635,f153]) ).
fof(f3829,plain,
( ~ sQ3_spl
| ~ sQ235_spl
| ~ greater(e_3,e_1)
| ~ greater(e_1,e_3) ),
inference(resolution,[status(thm)],[f2635,f143]) ).
fof(f3830,plain,
( ~ sQ76_spl
| ~ sQ235_spl
| ~ greater(e_1,e_1)
| ~ greater(e_1,e_4) ),
inference(resolution,[status(thm)],[f2635,f397]) ).
fof(f3832,plain,
( ~ sQ235_spl
| ~ greater(e_0,e_1)
| ~ greater(e_1,e_5) ),
inference(resolution,[status(thm)],[f2635,f82]) ).
fof(f3833,plain,
( ~ sQ6_spl
| ~ sQ235_spl
| ~ sQ152_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f3828,f1337,f661,f2634,f152]) ).
fof(f3834,plain,
( ~ sQ3_spl
| ~ sQ235_spl
| ~ sQ233_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f3829,f1218,f2609,f2634,f142]) ).
fof(f3835,plain,
( ~ sQ76_spl
| ~ sQ235_spl
| ~ sQ152_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f3830,f1775,f661,f2634,f396]) ).
fof(f3837,plain,
( ~ sQ235_spl
| ~ sQ234_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f3832,f2203,f2614,f2634]) ).
fof(f3838,plain,
( ~ sQ235_spl
| ~ sQ2_spl
| ~ greater(e_2,e_1)
| ~ greater(e_1,e_3) ),
inference(resolution,[status(thm)],[f140,f2635]) ).
fof(f3839,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ2_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ greater(e_2,e_0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f140,f710]) ).
fof(f3848,plain,
( ~ sQ235_spl
| ~ sQ2_spl
| ~ sQ227_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f3838,f1218,f2396,f139,f2634]) ).
fof(f3849,plain,
( ~ sQ6_spl
| ~ sQ2_spl
| sQ259_spl
| ~ sQ162_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f3839,f3212,f796,f3170,f139,f152]) ).
fof(f3855,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ sQ0_spl
| ~ greater(X1,e_1)
| ~ greater(e_3,X0)
| ~ next(e_3,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f134,f709]) ).
fof(f3861,plain,
( ~ sQ235_spl
| ~ sQ0_spl
| ~ greater(e_0,e_1)
| ~ greater(e_1,e_3) ),
inference(resolution,[status(thm)],[f134,f2635]) ).
fof(f3862,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ0_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f134,f710]) ).
fof(f3872,plain,
( ~ sQ6_spl
| ~ sQ0_spl
| ~ sQ260_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f3855,f3120,f3212,f133,f152]) ).
fof(f3877,plain,
( ~ sQ235_spl
| ~ sQ0_spl
| ~ sQ234_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f3861,f1218,f2614,f133,f2634]) ).
fof(f3878,plain,
( ~ sQ6_spl
| ~ sQ0_spl
| sQ255_spl
| ~ sQ170_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f3862,f3212,f832,f3068,f133,f152]) ).
fof(f3902,plain,
( ~ sQ219_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1885,f63]) ).
fof(f3903,plain,
( ~ sQ219_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3902,f106]) ).
fof(f3904,plain,
~ sQ219_spl,
inference(contradiction_clause,[status(thm)],[f3903]) ).
fof(f3905,plain,
( ~ sQ148_spl
| ~ sQ49_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f3761,f467,f301,f641]) ).
fof(f3907,plain,
( ~ sQ130_spl
| ~ sQ106_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f2058,f585]) ).
fof(f3908,plain,
( ~ sQ53_spl
| ~ sQ96_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f1754,f315]) ).
fof(f3909,plain,
( ~ sQ53_spl
| ~ sQ96_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f3908,f273,f464,f314]) ).
fof(f3910,plain,
( ~ sQ33_spl
| ~ sQ94_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f3459,f622,f457,f247]) ).
fof(f3911,plain,
( ~ sQ69_spl
| ~ sQ96_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f2767,f584,f464,f373]) ).
fof(f3917,plain,
( ~ sQ107_spl
| ~ sQ130_spl
| ~ sQ89_spl
| product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f1836,f3350]) ).
fof(f3918,plain,
( ~ sQ107_spl
| ~ sQ130_spl
| ~ sQ89_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f3917,f612,f441,f584,f505]) ).
fof(f3932,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ4_spl
| equalish(e_4,X0)
| ~ next(e_1,X0)
| ~ greater(e_4,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f146,f739]) ).
fof(f3933,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ4_spl
| equalish(e_4,X0)
| ~ next(e_0,X0)
| ~ greater(e_4,e_0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f146,f914]) ).
fof(f3934,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ4_spl
| ~ greater(X1,e_4)
| ~ greater(e_1,X0)
| ~ next(e_1,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f146,f909]) ).
fof(f3940,plain,
( ~ sQ76_spl
| ~ sQ4_spl
| sQ258_spl
| ~ sQ166_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f3932,f2808,f810,f3143,f145,f396]) ).
fof(f3941,plain,
( ~ sQ10_spl
| ~ sQ4_spl
| sQ167_spl
| ~ sQ166_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f3933,f2688,f810,f813,f145,f165]) ).
fof(f3942,plain,
( ~ sQ10_spl
| ~ sQ4_spl
| ~ sQ237_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f3934,f2927,f2641,f145,f165]) ).
fof(f3946,plain,
( ~ sQ99_spl
| ~ sQ96_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f465,f1710]) ).
fof(f3949,plain,
( ~ sQ67_spl
| ~ sQ96_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f465,f1634]) ).
fof(f3957,plain,
( ~ sQ99_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3946,f102]) ).
fof(f3958,plain,
( ~ sQ99_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f3957]) ).
fof(f3974,plain,
( ~ sQ33_spl
| ~ sQ130_spl
| ~ sQ106_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f3907,f1415]) ).
fof(f3975,plain,
! [X0] :
( ~ sQ130_spl
| ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f3907,f121]) ).
fof(f3976,plain,
! [X0] :
( ~ sQ130_spl
| ~ sQ106_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3907,f119]) ).
fof(f3977,plain,
! [X0] :
( ~ sQ130_spl
| ~ sQ106_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f3907,f117]) ).
fof(f3978,plain,
! [X0] :
( ~ sQ130_spl
| ~ sQ106_spl
| product(e_4,e_5,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f3907,f124]) ).
fof(f3979,plain,
( ~ sQ33_spl
| ~ sQ130_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3974,f113]) ).
fof(f3980,plain,
( ~ sQ33_spl
| ~ sQ130_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f3979]) ).
fof(f3981,plain,
( ~ sQ96_spl
| ~ sQ69_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f1619,f465]) ).
fof(f3982,plain,
( ~ sQ130_spl
| ~ sQ106_spl
| ~ sQ90_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f1828,f3907]) ).
fof(f4000,plain,
( ~ sQ130_spl
| ~ sQ89_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f442,f2335]) ).
fof(f4009,plain,
( ~ sQ23_spl
| ~ sQ42_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f277,f1235]) ).
fof(f4021,plain,
( ~ sQ42_spl
| ~ sQ106_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f503,f1304]) ).
fof(f4029,plain,
( ~ sQ102_spl
| ~ sQ148_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f642,f2098]) ).
fof(f4043,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ3_spl
| equalish(e_4,X0)
| ~ next(e_3,X0)
| ~ greater(e_4,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f936,f162]) ).
fof(f4048,plain,
( ~ sQ9_spl
| ~ sQ3_spl
| sQ192_spl
| ~ sQ166_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f4043,f3026,f810,f1165,f142,f161]) ).
fof(f4053,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ8_spl
| equalish(e_3,X0)
| ~ next(e_3,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f159,f936]) ).
fof(f4062,plain,
( ~ sQ3_spl
| ~ sQ8_spl
| sQ194_spl
| ~ sQ164_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f4053,f3026,f803,f1183,f158,f142]) ).
fof(f4071,plain,
( ~ sQ115_spl
| ~ sQ142_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f623,f1977]) ).
fof(f4079,plain,
( ~ sQ113_spl
| ~ sQ136_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f604,f1998]) ).
fof(f4087,plain,
( ~ sQ96_spl
| ~ sQ48_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f299,f1754]) ).
fof(f4095,plain,
( ~ sQ89_spl
| ~ sQ23_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f213,f1836]) ).
fof(f4103,plain,
( ~ sQ29_spl
| ~ sQ62_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f352,f1150]) ).
fof(f4119,plain,
( ~ sQ142_spl
| ~ sQ69_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f374,f2231]) ).
fof(f4127,plain,
( ~ sQ62_spl
| ~ sQ90_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f446,f1680]) ).
fof(f4135,plain,
( ~ sQ48_spl
| ~ sQ115_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f532,f1544]) ).
fof(f4143,plain,
( ~ sQ148_spl
| ~ sQ54_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f318,f2156]) ).
fof(f4151,plain,
( ~ sQ71_spl
| ~ sQ102_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f490,f1604]) ).
fof(f4159,plain,
( ~ sQ30_spl
| ~ sQ71_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f381,f1444]) ).
fof(f4167,plain,
( ~ sQ136_spl
| ~ sQ29_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f232,f2275]) ).
fof(f4179,plain,
( ~ sQ54_spl
| ~ sQ30_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f239,f1499]) ).
fof(f4190,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ8_spl
| equalish(e_3,X0)
| ~ next(e_3,X0)
| ~ greater(e_3,e_0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f704,f143]) ).
fof(f4195,plain,
( ~ sQ3_spl
| ~ sQ8_spl
| sQ194_spl
| ~ sQ164_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f4190,f3212,f803,f1183,f158,f142]) ).
fof(f4200,plain,
( ~ sQ8_spl
| ~ sQ257_spl
| ~ greater(e_3,e_1)
| ~ greater(e_3,e_2) ),
inference(resolution,[status(thm)],[f3121,f159]) ).
fof(f4201,plain,
( ~ sQ3_spl
| ~ sQ257_spl
| ~ greater(e_3,e_1)
| ~ greater(e_3,e_3) ),
inference(resolution,[status(thm)],[f3121,f143]) ).
fof(f4202,plain,
( ~ sQ76_spl
| ~ sQ257_spl
| ~ greater(e_1,e_1)
| ~ greater(e_3,e_4) ),
inference(resolution,[status(thm)],[f3121,f397]) ).
fof(f4203,plain,
( ~ sQ10_spl
| ~ sQ257_spl
| ~ greater(e_0,e_1)
| ~ greater(e_3,e_1) ),
inference(resolution,[status(thm)],[f3121,f166]) ).
fof(f4204,plain,
( ~ sQ257_spl
| ~ greater(e_0,e_1)
| ~ greater(e_3,e_5) ),
inference(resolution,[status(thm)],[f3121,f82]) ).
fof(f4205,plain,
( ~ sQ8_spl
| ~ sQ257_spl
| ~ sQ233_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f4200,f1309,f2609,f3120,f158]) ).
fof(f4206,plain,
( ~ sQ3_spl
| ~ sQ257_spl
| ~ sQ233_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f4201,f1187,f2609,f3120,f142]) ).
fof(f4207,plain,
( ~ sQ76_spl
| ~ sQ257_spl
| ~ sQ152_spl
| ~ sQ220_spl ),
inference(split_clause,[status(thm)],[f4202,f1888,f661,f3120,f396]) ).
fof(f4208,plain,
( ~ sQ10_spl
| ~ sQ257_spl
| ~ sQ234_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f4203,f2609,f2614,f3120,f165]) ).
fof(f4209,plain,
( ~ sQ257_spl
| ~ sQ234_spl
| ~ sQ243_spl ),
inference(split_clause,[status(thm)],[f4204,f2719,f2614,f3120]) ).
fof(f4210,plain,
( ~ sQ3_spl
| ~ sQ190_spl
| ~ greater(e_3,e_0) ),
inference(resolution,[status(thm)],[f1152,f143]) ).
fof(f4211,plain,
( ~ sQ3_spl
| ~ sQ190_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f4210,f803,f1151,f142]) ).
fof(f4225,plain,
( ~ sQ190_spl
| ~ sQ4_spl
| ~ greater(e_4,e_0) ),
inference(resolution,[status(thm)],[f146,f1152]) ).
fof(f4234,plain,
( ~ sQ190_spl
| ~ sQ4_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f4225,f810,f145,f1151]) ).
fof(f4266,plain,
( ~ sQ255_spl
| equalish(e_0,e_2) ),
inference(resolution,[status(thm)],[f3069,f60]) ).
fof(f4267,plain,
( ~ sQ198_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1215,f62]) ).
fof(f4268,plain,
( ~ sQ198_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4267,f97]) ).
fof(f4269,plain,
~ sQ198_spl,
inference(contradiction_clause,[status(thm)],[f4268]) ).
fof(f4270,plain,
( ~ sQ264_spl
| equalish(e_0,e_4) ),
inference(resolution,[status(thm)],[f3474,f62]) ).
fof(f4301,plain,
( ~ sQ256_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f3082,f60]) ).
fof(f4302,plain,
( ~ sQ256_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4301,f104]) ).
fof(f4303,plain,
~ sQ256_spl,
inference(contradiction_clause,[status(thm)],[f4302]) ).
fof(f4335,plain,
( ~ sQ206_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1334,f61]) ).
fof(f4336,plain,
( ~ sQ206_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4335,f96]) ).
fof(f4337,plain,
~ sQ206_spl,
inference(contradiction_clause,[status(thm)],[f4336]) ).
fof(f4338,plain,
( ~ sQ194_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1184,f62]) ).
fof(f4339,plain,
( ~ sQ194_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4338,f105]) ).
fof(f4340,plain,
~ sQ194_spl,
inference(contradiction_clause,[status(thm)],[f4339]) ).
fof(f4341,plain,
( ~ sQ208_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1344,f61]) ).
fof(f4342,plain,
( ~ sQ208_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4341,f100]) ).
fof(f4343,plain,
~ sQ208_spl,
inference(contradiction_clause,[status(thm)],[f4342]) ).
fof(f4344,plain,
( ~ sQ213_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1757,f63]) ).
fof(f4345,plain,
( ~ sQ213_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4344,f102]) ).
fof(f4346,plain,
~ sQ213_spl,
inference(contradiction_clause,[status(thm)],[f4345]) ).
fof(f4377,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ6_spl
| equalish(e_4,X0)
| ~ next(e_1,X0)
| ~ greater(e_4,e_0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f710,f146]) ).
fof(f4382,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| sQ258_spl
| ~ sQ166_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f4377,f3212,f810,f3143,f152,f145]) ).
fof(f4387,plain,
( ~ sQ30_spl
| ~ sQ53_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f1508,f239]) ).
fof(f4391,plain,
( ~ sQ99_spl
| ~ sQ53_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f315,f1711]) ).
fof(f4399,plain,
( ~ sQ28_spl
| ~ sQ107_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f506,f1164]) ).
fof(f4400,plain,
( ~ sQ112_spl
| ~ sQ107_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f506,f2003]) ).
fof(f4406,plain,
( ~ sQ112_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4400,f95]) ).
fof(f4407,plain,
( ~ sQ112_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f4406]) ).
fof(f4408,plain,
( ~ sQ107_spl
| ~ sQ52_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1513,f506]) ).
fof(f4409,plain,
( ~ sQ107_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4408,f112]) ).
fof(f4410,plain,
( ~ sQ107_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f4409]) ).
fof(f4411,plain,
( ~ sQ30_spl
| ~ sQ53_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f4387,f451,f314,f238]) ).
fof(f4414,plain,
( ~ sQ86_spl
| ~ sQ28_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f229,f1864]) ).
fof(f4425,plain,
( ~ sQ113_spl
| ~ sQ146_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f636,f1998]) ).
fof(f4426,plain,
( ~ sQ131_spl
| ~ sQ146_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f636,f2326]) ).
fof(f4435,plain,
( ~ sQ131_spl
| ~ sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4426,f97]) ).
fof(f4436,plain,
( ~ sQ131_spl
| ~ sQ146_spl ),
inference(contradiction_clause,[status(thm)],[f4435]) ).
fof(f4439,plain,
( ~ sQ29_spl
| ~ sQ62_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f4103,f641,f351,f231]) ).
fof(f4440,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2371,f102]) ).
fof(f4441,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f4440]) ).
fof(f4446,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_4,X0)
| ~ next(e_4,X0)
| ~ greater(e_4,e_0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f727,f146]) ).
fof(f4447,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ4_spl
| equalish(e_1,X0)
| ~ next(e_4,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f727,f153]) ).
fof(f4448,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ4_spl
| equalish(e_1,X0)
| ~ next(e_4,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f727,f397]) ).
fof(f4449,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ4_spl
| equalish(e_0,X0)
| ~ next(e_4,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f727,f166]) ).
fof(f4450,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_0,X0)
| ~ next(e_4,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_3) ),
inference(resolution,[status(thm)],[f727,f82]) ).
fof(f4451,plain,
( ~ sQ4_spl
| sQ217_spl
| ~ sQ166_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f4446,f967,f810,f1781,f145]) ).
fof(f4452,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| sQ215_spl
| ~ sQ160_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f4447,f3026,f789,f1771,f145,f152]) ).
fof(f4453,plain,
( ~ sQ76_spl
| ~ sQ4_spl
| sQ215_spl
| ~ sQ160_spl
| ~ sQ245_spl ),
inference(split_clause,[status(thm)],[f4448,f2786,f789,f1771,f145,f396]) ).
fof(f4454,plain,
( ~ sQ10_spl
| ~ sQ4_spl
| sQ261_spl
| ~ sQ170_spl
| ~ sQ237_spl ),
inference(split_clause,[status(thm)],[f4449,f2641,f832,f3218,f145,f165]) ).
fof(f4455,plain,
( ~ sQ4_spl
| sQ261_spl
| ~ sQ170_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f4450,f867,f832,f3218,f145]) ).
fof(f4457,plain,
( ~ sQ146_spl
| ~ sQ85_spl
| ~ sQ118_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f3402,f2187]) ).
fof(f4458,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ118_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f3402,f121]) ).
fof(f4459,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ118_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f3402,f119]) ).
fof(f4460,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ118_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f3402,f117]) ).
fof(f4461,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ118_spl
| product(e_5,e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f3402,f124]) ).
fof(f4462,plain,
( ~ sQ146_spl
| ~ sQ85_spl
| ~ sQ118_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f4457,f276,f540,f429,f635]) ).
fof(f4463,plain,
( ~ sQ130_spl
| ~ sQ106_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f3907,f524,f502,f584]) ).
fof(f4464,plain,
( ~ sQ113_spl
| ~ sQ146_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f4425,f483,f635,f524]) ).
fof(f4465,plain,
( ~ sQ100_spl
| ~ sQ143_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2218,f502,f625,f483]) ).
fof(f4466,plain,
( ~ sQ146_spl
| ~ sQ112_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f2006,f636]) ).
fof(f4467,plain,
( ~ sQ46_spl
| ~ sQ146_spl
| ~ sQ112_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f4466,f1565]) ).
fof(f4468,plain,
! [X0] :
( ~ sQ146_spl
| ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f4466,f121]) ).
fof(f4469,plain,
! [X0] :
( ~ sQ146_spl
| ~ sQ112_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f4466,f119]) ).
fof(f4470,plain,
! [X0] :
( ~ sQ146_spl
| ~ sQ112_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f4466,f117]) ).
fof(f4471,plain,
! [X0] :
( ~ sQ146_spl
| ~ sQ112_spl
| product(e_1,e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f4466,f124]) ).
fof(f4475,plain,
( ~ sQ146_spl
| ~ sQ112_spl
| ~ sQ118_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1951,f4466]) ).
fof(f4476,plain,
( ~ sQ146_spl
| ~ sQ112_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4475,f97]) ).
fof(f4477,plain,
( ~ sQ146_spl
| ~ sQ112_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f4476]) ).
fof(f4478,plain,
( ~ sQ146_spl
| ~ sQ113_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f1998,f636]) ).
fof(f4480,plain,
( ~ sQ24_spl
| ~ sQ74_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f390,f1225]) ).
fof(f4481,plain,
( ~ sQ29_spl
| ~ sQ74_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f390,f1148]) ).
fof(f4482,plain,
( ~ sQ138_spl
| ~ sQ74_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f390,f2262]) ).
fof(f4485,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f390,f121]) ).
fof(f4486,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f390,f119]) ).
fof(f4487,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f390,f117]) ).
fof(f4488,plain,
! [X0] :
( ~ sQ74_spl
| product(e_5,e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f390,f124]) ).
fof(f4489,plain,
( ~ sQ24_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4480,f108]) ).
fof(f4490,plain,
( ~ sQ24_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f4489]) ).
fof(f4491,plain,
( ~ sQ86_spl
| ~ sQ28_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f4414,f238,f228,f432]) ).
fof(f4492,plain,
( ~ sQ71_spl
| ~ sQ102_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f4151,f373,f489,f380]) ).
fof(f4527,plain,
( ~ sQ146_spl
| ~ sQ112_spl
| ~ sQ49_spl
| product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f1540,f4466]) ).
fof(f4528,plain,
( ~ sQ146_spl
| ~ sQ112_spl
| ~ sQ49_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f4527,f612,f301,f521,f635]) ).
fof(f4529,plain,
( ~ sQ46_spl
| ~ sQ146_spl
| ~ sQ112_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f4467,f250,f521,f635,f292]) ).
fof(f4530,plain,
( sQ115_spl
| ~ sQ146_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f533,f4466]) ).
fof(f4531,plain,
( sQ115_spl
| ~ sQ146_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f4530]) ).
fof(f4532,plain,
( ~ sQ136_spl
| ~ sQ29_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f4167,f238,f231,f603]) ).
fof(f4533,plain,
( ~ sQ130_spl
| ~ sQ48_spl
| ~ sQ115_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f4135,f2335]) ).
fof(f4534,plain,
( ~ sQ99_spl
| ~ sQ48_spl
| ~ sQ115_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f4135,f1709]) ).
fof(f4535,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ115_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4135,f121]) ).
fof(f4536,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ115_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f4135,f119]) ).
fof(f4537,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ115_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f4135,f117]) ).
fof(f4538,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ115_spl
| product(e_5,e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f4135,f124]) ).
fof(f4539,plain,
( ~ sQ130_spl
| ~ sQ48_spl
| ~ sQ115_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f4533,f351,f531,f298,f584]) ).
fof(f4540,plain,
( ~ sQ99_spl
| ~ sQ48_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4534,f103]) ).
fof(f4541,plain,
( ~ sQ99_spl
| ~ sQ48_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f4540]) ).
fof(f4542,plain,
( ~ sQ23_spl
| ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2219,f113]) ).
fof(f4543,plain,
( ~ sQ23_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f4542]) ).
fof(f4551,plain,
( ~ sQ85_spl
| ~ sQ118_spl
| ~ sQ147_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f2175,f3402]) ).
fof(f4552,plain,
( ~ sQ85_spl
| ~ sQ118_spl
| ~ sQ147_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f4551,f225,f638,f540,f429]) ).
fof(f4591,plain,
( ~ sQ131_spl
| ~ sQ99_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f474,f2328]) ).
fof(f4593,plain,
( ~ sQ44_spl
| ~ sQ99_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f474,f1270]) ).
fof(f4601,plain,
( ~ sQ131_spl
| ~ sQ99_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f4591,f361,f473,f587]) ).
fof(f4602,plain,
( ~ sQ44_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4593,f108]) ).
fof(f4603,plain,
( ~ sQ44_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f4602]) ).
fof(f4606,plain,
( ~ sQ130_spl
| ~ sQ89_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f4000,f351,f441,f584]) ).
fof(f4607,plain,
( ~ sQ142_spl
| ~ sQ69_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f4119,f212,f373,f622]) ).
fof(f4608,plain,
( ~ sQ29_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4481,f107]) ).
fof(f4609,plain,
( ~ sQ29_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f4608]) ).
fof(f4610,plain,
( ~ sQ23_spl
| ~ sQ42_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f4009,f445,f276,f212]) ).
fof(f4611,plain,
( ~ sQ64_spl
| ~ sQ146_spl
| ~ sQ113_spl
| product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f4478,f1662]) ).
fof(f4612,plain,
! [X0] :
( ~ sQ146_spl
| ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f4478,f121]) ).
fof(f4613,plain,
! [X0] :
( ~ sQ146_spl
| ~ sQ113_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f4478,f119]) ).
fof(f4614,plain,
! [X0] :
( ~ sQ146_spl
| ~ sQ113_spl
| equalish(X0,e_1)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f4478,f117]) ).
fof(f4615,plain,
! [X0] :
( ~ sQ146_spl
| ~ sQ113_spl
| product(e_1,e_5,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f4478,f124]) ).
fof(f4616,plain,
( ~ sQ64_spl
| ~ sQ146_spl
| ~ sQ113_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f4611,f596,f524,f635,f357]) ).
fof(f4617,plain,
( ~ sQ99_spl
| ~ sQ132_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f2321,f474]) ).
fof(f4618,plain,
( ~ sQ146_spl
| ~ sQ113_spl
| ~ sQ61_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f3806,f4478]) ).
fof(f4648,plain,
( ~ sQ99_spl
| ~ sQ89_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1834,f474]) ).
fof(f4649,plain,
( ~ sQ99_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4648,f96]) ).
fof(f4650,plain,
( ~ sQ99_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f4649]) ).
fof(f4651,plain,
( ~ sQ140_spl
| ~ sQ46_spl
| ~ sQ115_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f1973,f2246]) ).
fof(f4652,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ115_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1973,f121]) ).
fof(f4653,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ115_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1973,f119]) ).
fof(f4654,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ115_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1973,f117]) ).
fof(f4655,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ115_spl
| product(e_5,e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1973,f124]) ).
fof(f4656,plain,
( ~ sQ99_spl
| ~ sQ131_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f2328,f474]) ).
fof(f4675,plain,
( ~ sQ99_spl
| ~ sQ29_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1147,f474]) ).
fof(f4676,plain,
( ~ sQ99_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4675,f109]) ).
fof(f4677,plain,
( ~ sQ99_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f4676]) ).
fof(f4678,plain,
( ~ sQ138_spl
| ~ sQ74_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f4482,f438,f389,f609]) ).
fof(f4679,plain,
( ~ sQ99_spl
| ~ sQ132_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f4617,f377,f590,f473]) ).
fof(f4680,plain,
( ~ sQ99_spl
| ~ sQ130_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f2335,f474]) ).
fof(f4681,plain,
( ~ sQ99_spl
| ~ sQ130_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f4680,f345,f584,f473]) ).
fof(f4682,plain,
( ~ sQ110_spl
| ~ sQ99_spl
| ~ sQ131_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f4656,f2019]) ).
fof(f4683,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ131_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f4656,f121]) ).
fof(f4684,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ131_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f4656,f119]) ).
fof(f4685,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ131_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f4656,f117]) ).
fof(f4686,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ131_spl
| product(e_1,e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f4656,f124]) ).
fof(f4687,plain,
( ~ sQ110_spl
| ~ sQ99_spl
| ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4682,f110]) ).
fof(f4688,plain,
( ~ sQ110_spl
| ~ sQ99_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f4687]) ).
fof(f4690,plain,
( ~ sQ99_spl
| ~ sQ131_spl
| ~ sQ54_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f1499,f4656]) ).
fof(f4691,plain,
( ~ sQ99_spl
| ~ sQ131_spl
| ~ sQ54_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f4690,f625,f317,f587,f473]) ).
fof(f4733,plain,
( ~ sQ90_spl
| ~ sQ43_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f280,f1828]) ).
fof(f4742,plain,
( ~ sQ90_spl
| ~ sQ43_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f4733,f305,f279,f445]) ).
fof(f4746,plain,
( ~ sQ142_spl
| ~ sQ147_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f639,f2229]) ).
fof(f4747,plain,
( ~ sQ118_spl
| ~ sQ147_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f639,f1952]) ).
fof(f4756,plain,
( ~ sQ142_spl
| ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4746,f95]) ).
fof(f4757,plain,
( ~ sQ142_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f4756]) ).
fof(f4760,plain,
( ~ sQ43_spl
| ~ sQ92_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f1812,f280]) ).
fof(f4762,plain,
( ~ sQ143_spl
| ~ sQ34_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f251,f2224]) ).
fof(f4771,plain,
( ~ sQ43_spl
| ~ sQ106_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f503,f1287]) ).
fof(f4779,plain,
( ~ sQ112_spl
| ~ sQ131_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f588,f2006]) ).
fof(f4785,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ0_spl
| equalish(e_4,X0)
| ~ next(e_0,X0)
| ~ greater(e_4,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f961,f162]) ).
fof(f4786,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f961,f134]) ).
fof(f4787,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ0_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f961,f397]) ).
fof(f4788,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ0_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f961,f166]) ).
fof(f4789,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_3) ),
inference(resolution,[status(thm)],[f961,f82]) ).
fof(f4790,plain,
( ~ sQ9_spl
| ~ sQ0_spl
| sQ167_spl
| ~ sQ166_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f4785,f3026,f810,f813,f133,f161]) ).
fof(f4791,plain,
( ~ sQ0_spl
| sQ171_spl
| ~ sQ170_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f4786,f967,f832,f835,f133]) ).
fof(f4792,plain,
( ~ sQ76_spl
| ~ sQ0_spl
| sQ161_spl
| ~ sQ160_spl
| ~ sQ245_spl ),
inference(split_clause,[status(thm)],[f4787,f2786,f789,f792,f133,f396]) ).
fof(f4793,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| sQ171_spl
| ~ sQ170_spl
| ~ sQ237_spl ),
inference(split_clause,[status(thm)],[f4788,f2641,f832,f835,f133,f165]) ).
fof(f4794,plain,
( ~ sQ0_spl
| sQ171_spl
| ~ sQ170_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f4789,f867,f832,f835,f133]) ).
fof(f4795,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ6_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f153,f961]) ).
fof(f4804,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| sQ161_spl
| ~ sQ160_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f4795,f3026,f789,f792,f152,f133]) ).
fof(f4823,plain,
( ~ sQ34_spl
| ~ sQ26_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f223,f1408]) ).
fof(f4835,plain,
( ~ sQ135_spl
| ~ sQ74_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f390,f2295]) ).
fof(f4843,plain,
( ~ sQ99_spl
| ~ sQ48_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f299,f1711]) ).
fof(f4851,plain,
( ~ sQ20_spl
| ~ sQ112_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f522,f1257]) ).
fof(f4859,plain,
( ~ sQ86_spl
| ~ sQ118_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f541,f1864]) ).
fof(f4867,plain,
( ~ sQ106_spl
| ~ sQ135_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f601,f2058]) ).
fof(f4881,plain,
( ~ sQ65_spl
| ~ sQ86_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f433,f1648]) ).
fof(f4889,plain,
( ~ sQ147_spl
| ~ sQ54_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f318,f2175]) ).
fof(f4897,plain,
( ~ sQ48_spl
| ~ sQ20_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f204,f1544]) ).
fof(f4904,plain,
( ~ sQ62_spl
| ~ sQ100_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f484,f1680]) ).
fof(f4913,plain,
( ~ sQ100_spl
| ~ sQ143_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f626,f2113]) ).
fof(f4921,plain,
( ~ sQ26_spl
| ~ sQ62_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f352,f1198]) ).
fof(f4929,plain,
( ~ sQ74_spl
| ~ sQ92_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f452,f4488]) ).
fof(f4952,plain,
( ~ sQ196_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1200,f62]) ).
fof(f4953,plain,
( ~ sQ196_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4952,f101]) ).
fof(f4954,plain,
~ sQ196_spl,
inference(contradiction_clause,[status(thm)],[f4953]) ).
fof(f4955,plain,
( ~ sQ201_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1278,f61]) ).
fof(f4956,plain,
( ~ sQ201_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4955,f113]) ).
fof(f4957,plain,
~ sQ201_spl,
inference(contradiction_clause,[status(thm)],[f4956]) ).
fof(f4958,plain,
( ~ sQ202_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1289,f61]) ).
fof(f4959,plain,
( ~ sQ202_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4958,f109]) ).
fof(f4960,plain,
~ sQ202_spl,
inference(contradiction_clause,[status(thm)],[f4959]) ).
fof(f4962,plain,
( ~ sQ6_spl
| ~ sQ252_spl
| ~ greater(e_1,e_2)
| ~ greater(e_1,e_2) ),
inference(resolution,[status(thm)],[f2942,f153]) ).
fof(f4963,plain,
( ~ sQ0_spl
| ~ sQ252_spl
| ~ greater(e_0,e_2)
| ~ greater(e_1,e_3) ),
inference(resolution,[status(thm)],[f2942,f134]) ).
fof(f4964,plain,
( ~ sQ76_spl
| ~ sQ252_spl
| ~ greater(e_1,e_2)
| ~ greater(e_1,e_4) ),
inference(resolution,[status(thm)],[f2942,f397]) ).
fof(f4966,plain,
( ~ sQ252_spl
| ~ greater(e_0,e_2)
| ~ greater(e_1,e_5) ),
inference(resolution,[status(thm)],[f2942,f82]) ).
fof(f4967,plain,
( ~ sQ6_spl
| ~ sQ252_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f4962,f1337,f2941,f152]) ).
fof(f4968,plain,
( ~ sQ0_spl
| ~ sQ252_spl
| ~ sQ232_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f4963,f1218,f2584,f2941,f133]) ).
fof(f4969,plain,
( ~ sQ76_spl
| ~ sQ252_spl
| ~ sQ207_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f4964,f1775,f1337,f2941,f396]) ).
fof(f4971,plain,
( ~ sQ252_spl
| ~ sQ232_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f4966,f2203,f2584,f2941]) ).
fof(f4972,plain,
( ~ sQ6_spl
| ~ sQ239_spl
| ~ greater(e_1,e_3)
| ~ greater(e_1,e_2) ),
inference(resolution,[status(thm)],[f2660,f153]) ).
fof(f4973,plain,
( ~ sQ0_spl
| ~ sQ239_spl
| ~ greater(e_0,e_3)
| ~ greater(e_1,e_3) ),
inference(resolution,[status(thm)],[f2660,f134]) ).
fof(f4974,plain,
( ~ sQ76_spl
| ~ sQ239_spl
| ~ greater(e_1,e_3)
| ~ greater(e_1,e_4) ),
inference(resolution,[status(thm)],[f2660,f397]) ).
fof(f4976,plain,
( ~ sQ239_spl
| ~ greater(e_0,e_3)
| ~ greater(e_1,e_5) ),
inference(resolution,[status(thm)],[f2660,f82]) ).
fof(f4977,plain,
( ~ sQ6_spl
| ~ sQ239_spl
| ~ sQ199_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f4972,f1337,f1218,f2659,f152]) ).
fof(f4978,plain,
( ~ sQ0_spl
| ~ sQ239_spl
| ~ sQ231_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f4973,f1218,f2557,f2659,f133]) ).
fof(f4979,plain,
( ~ sQ76_spl
| ~ sQ239_spl
| ~ sQ199_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f4974,f1775,f1218,f2659,f396]) ).
fof(f4981,plain,
( ~ sQ239_spl
| ~ sQ231_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f4976,f2203,f2557,f2659]) ).
fof(f4982,plain,
( ~ sQ261_spl
| equalish(e_0,e_5) ),
inference(resolution,[status(thm)],[f3219,f63]) ).
fof(f4983,plain,
( ~ sQ215_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1772,f63]) ).
fof(f4984,plain,
( ~ sQ215_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4983,f98]) ).
fof(f4985,plain,
~ sQ215_spl,
inference(contradiction_clause,[status(thm)],[f4984]) ).
fof(f4986,plain,
( ~ sQ217_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1782,f63]) ).
fof(f4987,plain,
( ~ sQ217_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4986,f110]) ).
fof(f4988,plain,
~ sQ217_spl,
inference(contradiction_clause,[status(thm)],[f4987]) ).
fof(f4989,plain,
( ~ sQ254_spl
| equalish(e_0,e_3) ),
inference(resolution,[status(thm)],[f3033,f61]) ).
fof(f4990,plain,
( ~ sQ258_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f3144,f60]) ).
fof(f4991,plain,
( ~ sQ258_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4990,f108]) ).
fof(f4992,plain,
~ sQ258_spl,
inference(contradiction_clause,[status(thm)],[f4991]) ).
fof(f4994,plain,
( ~ sQ191_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1155,f62]) ).
fof(f4995,plain,
( ~ sQ191_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4994,f114]) ).
fof(f4996,plain,
~ sQ191_spl,
inference(contradiction_clause,[status(thm)],[f4995]) ).
fof(f4997,plain,
( ~ sQ6_spl
| ~ sQ244_spl
| ~ greater(e_1,e_3)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f2784,f153]) ).
fof(f4998,plain,
( ~ sQ0_spl
| ~ sQ244_spl
| ~ greater(e_0,e_3)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f2784,f134]) ).
fof(f4999,plain,
( ~ sQ76_spl
| ~ sQ244_spl
| ~ greater(e_1,e_3)
| ~ greater(e_4,e_4) ),
inference(resolution,[status(thm)],[f2784,f397]) ).
fof(f5000,plain,
( ~ sQ10_spl
| ~ sQ244_spl
| ~ greater(e_0,e_3)
| ~ greater(e_4,e_1) ),
inference(resolution,[status(thm)],[f2784,f166]) ).
fof(f5001,plain,
( ~ sQ244_spl
| ~ greater(e_0,e_3)
| ~ greater(e_4,e_5) ),
inference(resolution,[status(thm)],[f2784,f82]) ).
fof(f5002,plain,
( ~ sQ6_spl
| ~ sQ244_spl
| ~ sQ199_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f4997,f1292,f1218,f2783,f152]) ).
fof(f5003,plain,
( ~ sQ0_spl
| ~ sQ244_spl
| ~ sQ231_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f4998,f1169,f2557,f2783,f133]) ).
fof(f5004,plain,
( ~ sQ76_spl
| ~ sQ244_spl
| ~ sQ199_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f4999,f1785,f1218,f2783,f396]) ).
fof(f5005,plain,
( ~ sQ10_spl
| ~ sQ244_spl
| ~ sQ231_spl
| ~ sQ229_spl ),
inference(split_clause,[status(thm)],[f5000,f2435,f2557,f2783,f165]) ).
fof(f5006,plain,
( ~ sQ244_spl
| ~ sQ231_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f5001,f2162,f2557,f2783]) ).
fof(f5007,plain,
( ~ sQ6_spl
| ~ sQ249_spl
| ~ greater(e_1,e_1)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f2832,f153]) ).
fof(f5008,plain,
( ~ sQ0_spl
| ~ sQ249_spl
| ~ greater(e_0,e_1)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f2832,f134]) ).
fof(f5009,plain,
( ~ sQ76_spl
| ~ sQ249_spl
| ~ greater(e_1,e_1)
| ~ greater(e_4,e_4) ),
inference(resolution,[status(thm)],[f2832,f397]) ).
fof(f5010,plain,
( ~ sQ10_spl
| ~ sQ249_spl
| ~ greater(e_0,e_1)
| ~ greater(e_4,e_1) ),
inference(resolution,[status(thm)],[f2832,f166]) ).
fof(f5011,plain,
( ~ sQ249_spl
| ~ greater(e_0,e_1)
| ~ greater(e_4,e_5) ),
inference(resolution,[status(thm)],[f2832,f82]) ).
fof(f5012,plain,
( ~ sQ6_spl
| ~ sQ249_spl
| ~ sQ152_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f5007,f1292,f661,f2831,f152]) ).
fof(f5013,plain,
( ~ sQ0_spl
| ~ sQ249_spl
| ~ sQ234_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f5008,f1169,f2614,f2831,f133]) ).
fof(f5014,plain,
( ~ sQ76_spl
| ~ sQ249_spl
| ~ sQ152_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f5009,f1785,f661,f2831,f396]) ).
fof(f5015,plain,
( ~ sQ10_spl
| ~ sQ249_spl
| ~ sQ234_spl
| ~ sQ229_spl ),
inference(split_clause,[status(thm)],[f5010,f2435,f2614,f2831,f165]) ).
fof(f5016,plain,
( ~ sQ249_spl
| ~ sQ234_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f5011,f2162,f2614,f2831]) ).
fof(f5017,plain,
( ~ sQ6_spl
| ~ sQ251_spl
| ~ greater(e_1,e_4)
| ~ greater(e_1,e_2) ),
inference(resolution,[status(thm)],[f2928,f153]) ).
fof(f5018,plain,
( ~ sQ0_spl
| ~ sQ251_spl
| ~ greater(e_0,e_4)
| ~ greater(e_1,e_3) ),
inference(resolution,[status(thm)],[f2928,f134]) ).
fof(f5019,plain,
( ~ sQ76_spl
| ~ sQ251_spl
| ~ greater(e_1,e_4)
| ~ greater(e_1,e_4) ),
inference(resolution,[status(thm)],[f2928,f397]) ).
fof(f5021,plain,
( ~ sQ251_spl
| ~ greater(e_0,e_4)
| ~ greater(e_1,e_5) ),
inference(resolution,[status(thm)],[f2928,f82]) ).
fof(f5022,plain,
( ~ sQ6_spl
| ~ sQ251_spl
| ~ sQ216_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f5017,f1337,f1775,f2927,f152]) ).
fof(f5023,plain,
( ~ sQ0_spl
| ~ sQ251_spl
| ~ sQ230_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f5018,f1218,f2517,f2927,f133]) ).
fof(f5024,plain,
( ~ sQ76_spl
| ~ sQ251_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f5019,f1775,f2927,f396]) ).
fof(f5026,plain,
( ~ sQ251_spl
| ~ sQ230_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f5021,f2203,f2517,f2927]) ).
fof(f5027,plain,
( ~ sQ6_spl
| ~ sQ257_spl
| ~ greater(e_1,e_1)
| ~ greater(e_3,e_2) ),
inference(resolution,[status(thm)],[f3121,f153]) ).
fof(f5028,plain,
( ~ sQ0_spl
| ~ sQ257_spl
| ~ greater(e_0,e_1)
| ~ greater(e_3,e_3) ),
inference(resolution,[status(thm)],[f3121,f134]) ).
fof(f5032,plain,
( ~ sQ6_spl
| ~ sQ257_spl
| ~ sQ152_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f5027,f1309,f661,f3120,f152]) ).
fof(f5033,plain,
( ~ sQ0_spl
| ~ sQ257_spl
| ~ sQ234_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f5028,f1187,f2614,f3120,f133]) ).
fof(f5037,plain,
( ~ sQ0_spl
| ~ sQ190_spl
| ~ greater(e_0,e_0) ),
inference(resolution,[status(thm)],[f1152,f134]) ).
fof(f5048,plain,
( ~ sQ6_spl
| ~ sQ200_spl
| ~ greater(e_1,e_0) ),
inference(resolution,[status(thm)],[f1275,f153]) ).
fof(f5049,plain,
( ~ sQ6_spl
| ~ sQ200_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f5048,f789,f1274,f152]) ).
fof(f5050,plain,
! [X0] :
( ~ sQ146_spl
| ~ sQ113_spl
| ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4618,f121]) ).
fof(f5051,plain,
! [X0] :
( ~ sQ146_spl
| ~ sQ113_spl
| ~ sQ61_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f4618,f119]) ).
fof(f5052,plain,
! [X0] :
( ~ sQ146_spl
| ~ sQ113_spl
| ~ sQ61_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f4618,f117]) ).
fof(f5053,plain,
! [X0] :
( ~ sQ146_spl
| ~ sQ113_spl
| ~ sQ61_spl
| product(e_5,e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f4618,f124]) ).
fof(f5054,plain,
( ~ sQ92_spl
| ~ sQ70_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1611,f452]) ).
fof(f5055,plain,
( ~ sQ146_spl
| ~ sQ113_spl
| ~ sQ61_spl
| ~ sQ140_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f2246,f4618]) ).
fof(f5056,plain,
( ~ sQ100_spl
| ~ sQ61_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f3806,f484]) ).
fof(f5057,plain,
( ~ sQ86_spl
| ~ sQ69_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f1619,f433]) ).
fof(f5058,plain,
( ~ sQ99_spl
| ~ sQ132_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f2321,f474]) ).
fof(f5104,plain,
( ~ sQ24_spl
| ~ sQ42_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f277,f1227]) ).
fof(f5116,plain,
( ~ sQ113_spl
| ~ sQ146_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f636,f1998]) ).
fof(f5144,plain,
( ~ sQ99_spl
| ~ sQ53_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f315,f1711]) ).
fof(f5152,plain,
( ~ sQ28_spl
| ~ sQ107_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f506,f1164]) ).
fof(f5160,plain,
( ~ sQ86_spl
| ~ sQ28_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f229,f1864]) ).
fof(f5172,plain,
( ~ sQ49_spl
| ~ sQ70_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f378,f1540]) ).
fof(f5180,plain,
( ~ sQ107_spl
| ~ sQ140_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f617,f2046]) ).
fof(f5188,plain,
( ~ sQ30_spl
| ~ sQ116_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f535,f1444]) ).
fof(f5196,plain,
( ~ sQ92_spl
| ~ sQ113_spl
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f525,f1812]) ).
fof(f5204,plain,
( ~ sQ42_spl
| ~ sQ61_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f349,f1304]) ).
fof(f5212,plain,
( ~ sQ146_spl
| ~ sQ49_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f302,f2187]) ).
fof(f5220,plain,
( ~ sQ116_spl
| ~ sQ132_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f591,f1967]) ).
fof(f5228,plain,
( ~ sQ100_spl
| ~ sQ138_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f610,f2113]) ).
fof(f5236,plain,
( ~ sQ53_spl
| ~ sQ30_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f239,f1508]) ).
fof(f5244,plain,
( ~ sQ138_spl
| ~ sQ24_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f216,f2262]) ).
fof(f5250,plain,
( ~ sQ2_spl
| ~ sQ239_spl
| ~ greater(e_2,e_3)
| ~ greater(e_1,e_3) ),
inference(resolution,[status(thm)],[f2660,f140]) ).
fof(f5251,plain,
( ~ sQ8_spl
| ~ sQ239_spl
| ~ greater(e_3,e_3)
| ~ greater(e_1,e_2) ),
inference(resolution,[status(thm)],[f2660,f159]) ).
fof(f5255,plain,
( ~ sQ2_spl
| ~ sQ239_spl
| ~ sQ197_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f5250,f1218,f1203,f2659,f139]) ).
fof(f5256,plain,
( ~ sQ8_spl
| ~ sQ239_spl
| ~ sQ195_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f5251,f1337,f1187,f2659,f158]) ).
fof(model,axiom,
( ~ sQ0_spl
| ~ sQ1_spl
| sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ16_spl
| sQ17_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
| ~ sQ34_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
| ~ sQ81_spl
| sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| sQ86_spl
| ~ sQ87_spl
| ~ sQ88_spl
| ~ sQ89_spl
| ~ sQ90_spl
| ~ sQ91_spl
| sQ92_spl
| ~ sQ93_spl
| ~ sQ94_spl
| ~ sQ95_spl
| ~ sQ96_spl
| ~ sQ97_spl
| ~ sQ98_spl
| sQ99_spl
| sQ100_spl
| ~ sQ101_spl
| ~ sQ102_spl
| ~ sQ103_spl
| ~ sQ104_spl
| ~ sQ105_spl
| ~ sQ106_spl
| sQ107_spl
| ~ sQ108_spl
| ~ sQ109_spl
| ~ sQ110_spl
| ~ sQ111_spl
| ~ sQ112_spl
| sQ113_spl
| ~ sQ114_spl
| ~ sQ115_spl
| sQ116_spl
| ~ sQ117_spl
| ~ sQ118_spl
| ~ sQ119_spl
| sQ120_spl
| ~ sQ125_spl
| ~ sQ126_spl
| ~ sQ128_spl
| sQ129_spl
| ~ sQ130_spl
| ~ sQ131_spl
| sQ132_spl
| ~ sQ133_spl
| ~ sQ134_spl
| ~ sQ135_spl
| ~ sQ136_spl
| ~ sQ137_spl
| sQ138_spl
| ~ sQ139_spl
| sQ140_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ143_spl
| ~ sQ144_spl
| ~ sQ145_spl
| sQ146_spl
| ~ sQ147_spl
| ~ sQ148_spl
| ~ sQ149_spl
| ~ sQ150_spl
| ~ sQ151_spl
| ~ sQ152_spl
| sQ153_spl
| ~ 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
| ~ sQ173_spl
| ~ sQ174_spl
| ~ sQ175_spl
| ~ sQ176_spl
| sQ179_spl
| ~ sQ180_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
| ~ sQ211_spl
| sQ212_spl
| ~ sQ213_spl
| ~ sQ214_spl
| ~ sQ215_spl
| ~ sQ216_spl
| ~ sQ217_spl
| ~ sQ218_spl
| ~ sQ219_spl
| ~ sQ220_spl
| sQ221_spl
| ~ sQ224_spl
| ~ sQ226_spl
| sQ227_spl
| ~ sQ228_spl
| sQ229_spl
| ~ sQ230_spl
| ~ sQ231_spl
| ~ sQ232_spl
| sQ233_spl
| ~ sQ234_spl
| sQ236_spl
| ~ sQ237_spl
| ~ sQ238_spl
| sQ239_spl
| ~ sQ240_spl
| ~ sQ241_spl
| ~ sQ242_spl
| ~ sQ243_spl
| ~ sQ245_spl
| ~ sQ246_spl
| sQ247_spl
| ~ sQ248_spl
| sQ253_spl
| sQ254_spl
| sQ255_spl
| ~ sQ256_spl
| ~ sQ257_spl
| ~ sQ258_spl
| sQ259_spl
| ~ sQ260_spl
| sQ261_spl
| sQ264_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP127-3.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n017.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 19:55:26 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 5.65/1.23 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 5.65/1.23 % SZS output start Saturation for theBenchmark
% See solution above
% 5.65/1.26 % Elapsed time: 0.894550 seconds
% 5.65/1.26 % CPU time: 6.712253 seconds
% 5.65/1.26 % Total memory used: 38.694 MB
% 5.65/1.26 % Net memory used: 36.535 MB
%------------------------------------------------------------------------------