%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP126-3.005 : 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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:35:51 PM UTC 2026
% Result : Satisfiable 4.80s 1.17s
% Output : Saturation 0.48s
% 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,
! [X,Y,Z1,Z2] :
( product(Z1,Z2,Y)
| ~ product(Y,X,Z2)
| ~ product(X,Y,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,Z1,Z2] :
( product(Z1,Z2,Y)
| ! [X] :
( ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f58]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( product(X2,X3,X1)
| ~ product(X1,X0,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f125,plain,
! [X0,X1] :
( product(X1,X0,X0)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f122,f124]) ).
fof(f127,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f117,f122]) ).
fof(f128,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f127,f122]) ).
fof(f129,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f119,f122]) ).
fof(f130,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f121,f122]) ).
fof(f133,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)],[f81,f93]) ).
fof(f134,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(f135,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(f136,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(f137,definition,
( sQ0_spl
<=> cycle(e_5,e_0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( sQ0_spl
| ~ cycle(e_5,e_0) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,definition,
( sQ1_spl
<=> cycle(e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ1_spl
| cycle(e_5,e_1) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f142,plain,
( sQ1_spl
| ~ cycle(e_5,e_1) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
( sQ2_spl
<=> cycle(e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ2_spl
| cycle(e_5,e_2) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f145,plain,
( sQ2_spl
| ~ cycle(e_5,e_2) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
( sQ3_spl
<=> cycle(e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( ~ sQ3_spl
| cycle(e_5,e_3) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f148,plain,
( sQ3_spl
| ~ cycle(e_5,e_3) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,definition,
( sQ4_spl
<=> cycle(e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ4_spl
| cycle(e_5,e_4) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f151,plain,
( sQ4_spl
| ~ cycle(e_5,e_4) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f153,definition,
( sQ5_spl
<=> cycle(e_4,e_0) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ5_spl
| cycle(e_4,e_0) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f155,plain,
( sQ5_spl
| ~ cycle(e_4,e_0) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,definition,
( sQ6_spl
<=> cycle(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ6_spl
| cycle(e_4,e_1) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,definition,
( sQ7_spl
<=> cycle(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ7_spl
| cycle(e_4,e_2) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( sQ7_spl
| ~ cycle(e_4,e_2) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,definition,
( sQ8_spl
<=> cycle(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ8_spl
| cycle(e_4,e_3) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f164,plain,
( sQ8_spl
| ~ cycle(e_4,e_3) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,definition,
( sQ9_spl
<=> cycle(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ9_spl
| cycle(e_4,e_4) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f167,plain,
( sQ9_spl
| ~ cycle(e_4,e_4) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f133,f153,f156,f159,f162,f165]) ).
fof(f169,definition,
( sQ10_spl
<=> cycle(e_3,e_0) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ10_spl
| cycle(e_3,e_0) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( sQ10_spl
| ~ cycle(e_3,e_0) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,definition,
( sQ11_spl
<=> cycle(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ11_spl
| cycle(e_3,e_1) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f174,plain,
( sQ11_spl
| ~ cycle(e_3,e_1) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,definition,
( sQ12_spl
<=> cycle(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( ~ sQ12_spl
| cycle(e_3,e_2) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f177,plain,
( sQ12_spl
| ~ cycle(e_3,e_2) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,definition,
( sQ13_spl
<=> cycle(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( ~ sQ13_spl
| cycle(e_3,e_3) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f180,plain,
( sQ13_spl
| ~ cycle(e_3,e_3) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,definition,
( sQ14_spl
<=> cycle(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( ~ sQ14_spl
| cycle(e_3,e_4) ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f183,plain,
( sQ14_spl
| ~ cycle(e_3,e_4) ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f184,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f134,f169,f172,f175,f178,f181]) ).
fof(f185,definition,
( sQ15_spl
<=> cycle(e_2,e_0) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ15_spl
| cycle(e_2,e_0) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f187,plain,
( sQ15_spl
| ~ cycle(e_2,e_0) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,definition,
( sQ16_spl
<=> cycle(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ16_spl
| cycle(e_2,e_1) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f190,plain,
( sQ16_spl
| ~ cycle(e_2,e_1) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,definition,
( sQ17_spl
<=> cycle(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( ~ sQ17_spl
| cycle(e_2,e_2) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f193,plain,
( sQ17_spl
| ~ cycle(e_2,e_2) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,definition,
( sQ18_spl
<=> cycle(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ18_spl
| cycle(e_2,e_3) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f196,plain,
( sQ18_spl
| ~ cycle(e_2,e_3) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,definition,
( sQ19_spl
<=> cycle(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( ~ sQ19_spl
| cycle(e_2,e_4) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f199,plain,
( sQ19_spl
| ~ cycle(e_2,e_4) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f135,f185,f188,f191,f194,f197]) ).
fof(f201,definition,
( sQ20_spl
<=> cycle(e_1,e_0) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ20_spl
| cycle(e_1,e_0) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,definition,
( sQ21_spl
<=> cycle(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ21_spl
| cycle(e_1,e_1) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f206,plain,
( sQ21_spl
| ~ cycle(e_1,e_1) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,definition,
( sQ22_spl
<=> cycle(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ22_spl
| cycle(e_1,e_2) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f209,plain,
( sQ22_spl
| ~ cycle(e_1,e_2) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,definition,
( sQ23_spl
<=> cycle(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ23_spl
| cycle(e_1,e_3) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f212,plain,
( sQ23_spl
| ~ cycle(e_1,e_3) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,definition,
( sQ24_spl
<=> cycle(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ24_spl
| cycle(e_1,e_4) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f215,plain,
( sQ24_spl
| ~ cycle(e_1,e_4) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f136,f201,f204,f207,f210,f213]) ).
fof(f217,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)],[f115,f94]) ).
fof(f218,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)],[f115,f93]) ).
fof(f219,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(f220,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(f221,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(f222,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)],[f217,f94]) ).
fof(f223,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)],[f217,f93]) ).
fof(f224,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)],[f217,f92]) ).
fof(f225,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)],[f217,f91]) ).
fof(f226,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)],[f217,f90]) ).
fof(f227,definition,
( sQ25_spl
<=> product(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( ~ sQ25_spl
| product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f229,plain,
( sQ25_spl
| ~ product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,definition,
( sQ26_spl
<=> product(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ26_spl
| product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f232,plain,
( sQ26_spl
| ~ product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,definition,
( sQ27_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( ~ sQ27_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f235,plain,
( sQ27_spl
| ~ product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,definition,
( sQ28_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ28_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f238,plain,
( sQ28_spl
| ~ product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,definition,
( sQ29_spl
<=> product(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f222,f227,f230,f233,f236,f239]) ).
fof(f243,definition,
( sQ30_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( ~ sQ30_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f245,plain,
( sQ30_spl
| ~ product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,definition,
( sQ31_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ31_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f248,plain,
( sQ31_spl
| ~ product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,definition,
( sQ32_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ32_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f251,plain,
( sQ32_spl
| ~ product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ33_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ33_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f254,plain,
( sQ33_spl
| ~ product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,definition,
( sQ34_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( ~ sQ34_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f257,plain,
( sQ34_spl
| ~ product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f223,f243,f246,f249,f252,f255]) ).
fof(f259,definition,
( sQ35_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( ~ sQ35_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f261,plain,
( sQ35_spl
| ~ product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,definition,
( sQ36_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ36_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f264,plain,
( sQ36_spl
| ~ product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
( sQ37_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ37_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f267,plain,
( sQ37_spl
| ~ product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,definition,
( sQ38_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ38_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f270,plain,
( sQ38_spl
| ~ product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,definition,
( sQ39_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( ~ sQ39_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f273,plain,
( sQ39_spl
| ~ product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f224,f259,f262,f265,f268,f271]) ).
fof(f275,definition,
( sQ40_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ40_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f277,plain,
( sQ40_spl
| ~ product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ41_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ41_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f280,plain,
( sQ41_spl
| ~ product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ42_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ42_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f283,plain,
( sQ42_spl
| ~ product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,definition,
( sQ43_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ43_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f286,plain,
( sQ43_spl
| ~ product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,definition,
( sQ44_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f288,plain,
( ~ sQ44_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f289,plain,
( sQ44_spl
| ~ product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f225,f275,f278,f281,f284,f287]) ).
fof(f291,definition,
( sQ45_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ45_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f293,plain,
( sQ45_spl
| ~ product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
( sQ46_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ46_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f296,plain,
( sQ46_spl
| ~ product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
( sQ47_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( ~ sQ47_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f299,plain,
( sQ47_spl
| ~ product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,definition,
( sQ48_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( ~ sQ48_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f302,plain,
( sQ48_spl
| ~ product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,definition,
( sQ49_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f304,plain,
( ~ sQ49_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f305,plain,
( sQ49_spl
| ~ product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f226,f291,f294,f297,f300,f303]) ).
fof(f307,plain,
( 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)],[f218,f94]) ).
fof(f308,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)],[f218,f93]) ).
fof(f309,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)],[f218,f92]) ).
fof(f310,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)],[f218,f91]) ).
fof(f311,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)],[f218,f90]) ).
fof(f312,definition,
( sQ50_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f313,plain,
( ~ sQ50_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f314,plain,
( sQ50_spl
| ~ product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,definition,
( sQ51_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( ~ sQ51_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f317,plain,
( sQ51_spl
| ~ product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,definition,
( sQ52_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ52_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f320,plain,
( sQ52_spl
| ~ product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,definition,
( sQ53_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ53_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f323,plain,
( sQ53_spl
| ~ product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,definition,
( sQ54_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ54_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f326,plain,
( sQ54_spl
| ~ product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f307,f312,f315,f318,f321,f324]) ).
fof(f328,definition,
( sQ55_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f329,plain,
( ~ sQ55_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f330,plain,
( sQ55_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,definition,
( sQ56_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f332,plain,
( ~ sQ56_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f333,plain,
( sQ56_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,definition,
( sQ57_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ57_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f336,plain,
( sQ57_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,definition,
( sQ58_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f340,definition,
( sQ59_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f341,plain,
( ~ sQ59_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f342,plain,
( sQ59_spl
| ~ product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f308,f328,f331,f334,f337,f340]) ).
fof(f344,definition,
( sQ60_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f345,plain,
( ~ sQ60_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f346,plain,
( sQ60_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,definition,
( sQ61_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( ~ sQ61_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f349,plain,
( sQ61_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,definition,
( sQ62_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f351,plain,
( ~ sQ62_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f352,plain,
( sQ62_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,definition,
( sQ63_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( ~ sQ63_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f355,plain,
( sQ63_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,definition,
( sQ64_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( ~ sQ64_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f358,plain,
( sQ64_spl
| ~ product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f309,f344,f347,f350,f353,f356]) ).
fof(f360,definition,
( sQ65_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ65_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f362,plain,
( sQ65_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,definition,
( sQ66_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( ~ sQ66_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f365,plain,
( sQ66_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,definition,
( sQ67_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ67_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f368,plain,
( sQ67_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,definition,
( sQ68_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( ~ sQ68_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f371,plain,
( sQ68_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,definition,
( sQ69_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ69_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f374,plain,
( sQ69_spl
| ~ product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f310,f360,f363,f366,f369,f372]) ).
fof(f376,definition,
( sQ70_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ70_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f378,plain,
( sQ70_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,definition,
( sQ71_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ71_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f381,plain,
( sQ71_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,definition,
( sQ72_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ72_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f384,plain,
( sQ72_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ73_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( ~ sQ73_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f387,plain,
( sQ73_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,definition,
( sQ74_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ74_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f390,plain,
( sQ74_spl
| ~ product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f311,f376,f379,f382,f385,f388]) ).
fof(f392,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)],[f219,f94]) ).
fof(f393,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)],[f219,f93]) ).
fof(f394,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)],[f219,f92]) ).
fof(f395,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)],[f219,f91]) ).
fof(f396,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)],[f219,f90]) ).
fof(f397,definition,
( sQ75_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f398,plain,
( ~ sQ75_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f399,plain,
( sQ75_spl
| ~ product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,definition,
( sQ76_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( ~ sQ76_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f402,plain,
( sQ76_spl
| ~ product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,definition,
( sQ77_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f404,plain,
( ~ sQ77_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f405,plain,
( sQ77_spl
| ~ product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,definition,
( sQ78_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f407,plain,
( ~ sQ78_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f408,plain,
( sQ78_spl
| ~ product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,definition,
( sQ79_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( ~ sQ79_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f411,plain,
( sQ79_spl
| ~ product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f392,f397,f400,f403,f406,f409]) ).
fof(f413,definition,
( sQ80_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( ~ sQ80_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f415,plain,
( sQ80_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,definition,
( sQ81_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( ~ sQ81_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f418,plain,
( sQ81_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,definition,
( sQ82_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( ~ sQ82_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f421,plain,
( sQ82_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,definition,
( sQ83_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f423,plain,
( ~ sQ83_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f424,plain,
( sQ83_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,definition,
( sQ84_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( ~ sQ84_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f427,plain,
( sQ84_spl
| ~ product(e_3,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)],[f393,f413,f416,f419,f422,f425]) ).
fof(f429,definition,
( sQ85_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( ~ sQ85_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f431,plain,
( sQ85_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,definition,
( sQ86_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( ~ sQ86_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f434,plain,
( sQ86_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,definition,
( sQ87_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f438,definition,
( sQ88_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f439,plain,
( ~ sQ88_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f440,plain,
( sQ88_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,definition,
( sQ89_spl
<=> product(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( ~ sQ89_spl
| product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f443,plain,
( sQ89_spl
| ~ product(e_3,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)],[f394,f429,f432,f435,f438,f441]) ).
fof(f445,definition,
( sQ90_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( ~ sQ90_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f447,plain,
( sQ90_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,definition,
( sQ91_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( ~ sQ91_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f450,plain,
( sQ91_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,definition,
( sQ92_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( ~ sQ92_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f453,plain,
( sQ92_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,definition,
( sQ93_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ93_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f456,plain,
( sQ93_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,definition,
( sQ94_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ94_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f459,plain,
( sQ94_spl
| ~ product(e_3,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)],[f395,f445,f448,f451,f454,f457]) ).
fof(f461,definition,
( sQ95_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ95_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f463,plain,
( sQ95_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,definition,
( sQ96_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( ~ sQ96_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f466,plain,
( sQ96_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,definition,
( sQ97_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ97_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f469,plain,
( sQ97_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,definition,
( sQ98_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ98_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f472,plain,
( sQ98_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,definition,
( sQ99_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ99_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f475,plain,
( sQ99_spl
| ~ product(e_3,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)],[f396,f461,f464,f467,f470,f473]) ).
fof(f477,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)],[f220,f94]) ).
fof(f478,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)],[f220,f93]) ).
fof(f479,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)],[f220,f92]) ).
fof(f480,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)],[f220,f91]) ).
fof(f481,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)],[f220,f90]) ).
fof(f482,definition,
( sQ100_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ100_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f484,plain,
( sQ100_spl
| ~ product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,definition,
( sQ101_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ101_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f487,plain,
( sQ101_spl
| ~ product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,definition,
( sQ102_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ102_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f490,plain,
( sQ102_spl
| ~ product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,definition,
( sQ103_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( ~ sQ103_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f493,plain,
( sQ103_spl
| ~ product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,definition,
( sQ104_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( ~ sQ104_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f496,plain,
( sQ104_spl
| ~ product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f477,f482,f485,f488,f491,f494]) ).
fof(f498,definition,
( sQ105_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( ~ sQ105_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f500,plain,
( sQ105_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,definition,
( sQ106_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( ~ sQ106_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f503,plain,
( sQ106_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,definition,
( sQ107_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( ~ sQ107_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f506,plain,
( sQ107_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,definition,
( sQ108_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f508,plain,
( ~ sQ108_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f509,plain,
( sQ108_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,definition,
( sQ109_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( ~ sQ109_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f512,plain,
( sQ109_spl
| ~ product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f478,f498,f501,f504,f507,f510]) ).
fof(f514,definition,
( sQ110_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( ~ sQ110_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f516,plain,
( sQ110_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,definition,
( sQ111_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( ~ sQ111_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f519,plain,
( sQ111_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,definition,
( sQ112_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( ~ sQ112_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f522,plain,
( sQ112_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,definition,
( sQ113_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ113_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f525,plain,
( sQ113_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ114_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ114_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f528,plain,
( sQ114_spl
| ~ product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f479,f514,f517,f520,f523,f526]) ).
fof(f530,definition,
( sQ115_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( ~ sQ115_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f532,plain,
( sQ115_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,definition,
( sQ116_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f536,definition,
( sQ117_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ117_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f538,plain,
( sQ117_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,definition,
( sQ118_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( ~ sQ118_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f541,plain,
( sQ118_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,definition,
( sQ119_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ119_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f544,plain,
( sQ119_spl
| ~ product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f480,f530,f533,f536,f539,f542]) ).
fof(f546,definition,
( sQ120_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f547,plain,
( ~ sQ120_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f548,plain,
( sQ120_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,definition,
( sQ121_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( ~ sQ121_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f551,plain,
( sQ121_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,definition,
( sQ122_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( ~ sQ122_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f554,plain,
( sQ122_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,definition,
( sQ123_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ123_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f557,plain,
( sQ123_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,definition,
( sQ124_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ124_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f560,plain,
( sQ124_spl
| ~ product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f481,f546,f549,f552,f555,f558]) ).
fof(f562,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)],[f221,f94]) ).
fof(f563,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)],[f221,f93]) ).
fof(f564,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)],[f221,f92]) ).
fof(f565,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)],[f221,f91]) ).
fof(f566,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)],[f221,f90]) ).
fof(f567,definition,
( sQ125_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( ~ sQ125_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f569,plain,
( sQ125_spl
| ~ product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,definition,
( sQ126_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( ~ sQ126_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f572,plain,
( sQ126_spl
| ~ product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f573,definition,
( sQ127_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( ~ sQ127_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f575,plain,
( sQ127_spl
| ~ product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,definition,
( sQ128_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( ~ sQ128_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f578,plain,
( sQ128_spl
| ~ product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,definition,
( sQ129_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f580,plain,
( ~ sQ129_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f581,plain,
( sQ129_spl
| ~ product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,plain,
( sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f562,f567,f570,f573,f576,f579]) ).
fof(f583,definition,
( sQ130_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f584,plain,
( ~ sQ130_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f585,plain,
( sQ130_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f586,definition,
( sQ131_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f587,plain,
( ~ sQ131_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f588,plain,
( sQ131_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,definition,
( sQ132_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f590,plain,
( ~ sQ132_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f591,plain,
( sQ132_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,definition,
( sQ133_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f593,plain,
( ~ sQ133_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f594,plain,
( sQ133_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,definition,
( sQ134_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f596,plain,
( ~ sQ134_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f597,plain,
( sQ134_spl
| ~ product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,plain,
( sQ134_spl
| sQ133_spl
| sQ132_spl
| sQ131_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f563,f583,f586,f589,f592,f595]) ).
fof(f599,definition,
( sQ135_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( ~ sQ135_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f601,plain,
( sQ135_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,definition,
( sQ136_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( ~ sQ136_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f604,plain,
( sQ136_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,definition,
( sQ137_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f606,plain,
( ~ sQ137_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f607,plain,
( sQ137_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f608,definition,
( sQ138_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f609,plain,
( ~ sQ138_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f610,plain,
( sQ138_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,definition,
( sQ139_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ139_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f613,plain,
( sQ139_spl
| ~ product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,plain,
( sQ139_spl
| sQ138_spl
| sQ137_spl
| sQ136_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f564,f599,f602,f605,f608,f611]) ).
fof(f615,definition,
( sQ140_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( ~ sQ140_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f617,plain,
( sQ140_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,definition,
( sQ141_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f619,plain,
( ~ sQ141_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f620,plain,
( sQ141_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f621,definition,
( sQ142_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( ~ sQ142_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f623,plain,
( sQ142_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,definition,
( sQ143_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f625,plain,
( ~ sQ143_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f626,plain,
( sQ143_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,definition,
( sQ144_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( ~ sQ144_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f629,plain,
( sQ144_spl
| ~ product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,plain,
( sQ144_spl
| sQ143_spl
| sQ142_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f565,f615,f618,f621,f624,f627]) ).
fof(f631,definition,
( sQ145_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f634,definition,
( sQ146_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f635,plain,
( ~ sQ146_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f636,plain,
( sQ146_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f637,definition,
( sQ147_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f638,plain,
( ~ sQ147_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f639,plain,
( sQ147_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f640,definition,
( sQ148_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( ~ sQ148_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f642,plain,
( sQ148_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,definition,
( sQ149_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f644,plain,
( ~ sQ149_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f645,plain,
( sQ149_spl
| ~ product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,plain,
( sQ149_spl
| sQ148_spl
| sQ147_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f566,f631,f634,f637,f640,f643]) ).
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,plain,
! [X0,X1,X2] :
( ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,X2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(factoring,[status(thm)],[f86]) ).
fof(f654,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(f655,plain,
! [X0,X1] :
( ~ sQ150_spl
| ~ greater(X1,e_0)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,definition,
( sQ151_spl
<=> next(e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f659,plain,
( sQ151_spl
| ~ next(e_5,e_5) ),
inference(component_clause,[status(thm)],[f657]) ).
fof(f660,plain,
( ~ sQ151_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f650,f654,f657]) ).
fof(f661,plain,
( ~ greater(e_1,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f87,f122]) ).
fof(f662,definition,
( sQ152_spl
<=> greater(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( sQ152_spl
| ~ greater(e_1,e_1) ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,plain,
( ~ sQ152_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f661,f201,f662]) ).
fof(f666,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(f667,definition,
! [X0] :
( sQ153_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f668,plain,
! [X0] :
( ~ sQ153_spl
| ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,definition,
! [X1] :
( sQ154_spl
<=> ( equalish(e_1,X1)
| ~ next(e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f671,plain,
! [X0] :
( ~ sQ154_spl
| equalish(e_1,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,plain,
( sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f666,f667,f670]) ).
fof(f674,plain,
( ~ sQ154_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f671,f60]) ).
fof(f675,plain,
( ~ sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f674,f95]) ).
fof(f676,plain,
~ sQ154_spl,
inference(contradiction_clause,[status(thm)],[f675]) ).
fof(f677,plain,
( ~ sQ153_spl
| ~ sQ24_spl
| ~ greater(e_4,e_0) ),
inference(resolution,[status(thm)],[f214,f668]) ).
fof(f678,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ greater(X1,e_4)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f214,f86]) ).
fof(f679,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| equalish(X1,X2)
| ~ next(e_4,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f214,f84]) ).
fof(f680,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_4)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f214,f80]) ).
fof(f681,plain,
( ~ sQ153_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f677,f67]) ).
fof(f682,plain,
( ~ sQ153_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f681]) ).
fof(f683,plain,
( ~ sQ153_spl
| ~ sQ23_spl
| ~ greater(e_3,e_0) ),
inference(resolution,[status(thm)],[f211,f668]) ).
fof(f684,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f211,f86]) ).
fof(f685,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f211,f84]) ).
fof(f686,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_3)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f211,f80]) ).
fof(f687,plain,
( ~ sQ153_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f683,f66]) ).
fof(f688,plain,
( ~ sQ153_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f687]) ).
fof(f689,plain,
( ~ sQ153_spl
| ~ sQ22_spl
| ~ greater(e_2,e_0) ),
inference(resolution,[status(thm)],[f208,f668]) ).
fof(f690,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f208,f86]) ).
fof(f691,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f208,f84]) ).
fof(f692,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_2)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f208,f80]) ).
fof(f693,plain,
( ~ sQ153_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f689,f65]) ).
fof(f694,plain,
( ~ sQ153_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f693]) ).
fof(f695,plain,
( ~ sQ153_spl
| ~ sQ21_spl
| ~ greater(e_1,e_0) ),
inference(resolution,[status(thm)],[f205,f668]) ).
fof(f696,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f205,f86]) ).
fof(f697,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f205,f84]) ).
fof(f698,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_1)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f205,f80]) ).
fof(f699,plain,
( ~ sQ153_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f695,f64]) ).
fof(f700,plain,
( ~ sQ153_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f699]) ).
fof(f701,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ greater(X1,e_4)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f198,f86]) ).
fof(f702,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| equalish(X1,X2)
| ~ next(e_4,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f198,f84]) ).
fof(f703,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f198,f80]) ).
fof(f704,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f86]) ).
fof(f705,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f84]) ).
fof(f706,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f195,f80]) ).
fof(f707,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f192,f86]) ).
fof(f708,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f192,f84]) ).
fof(f711,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f189,f84]) ).
fof(f713,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ greater(X1,e_0)
| ~ greater(e_2,X0)
| ~ next(e_2,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f186,f86]) ).
fof(f714,plain,
! [X0,X1,X2,X3] :
( ~ sQ15_spl
| ~ greater(X1,X3)
| ~ greater(e_2,X0)
| ~ next(e_2,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f186,f86]) ).
fof(f716,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f186,f86]) ).
fof(f717,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f186,f84]) ).
fof(f718,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f186,f80]) ).
fof(f719,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(f720,plain,
! [X0,X1] :
( ~ sQ155_spl
| ~ greater(X1,e_0)
| ~ greater(e_2,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,definition,
( sQ156_spl
<=> next(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f724,plain,
( sQ156_spl
| ~ next(e_2,e_2) ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f725,plain,
( ~ sQ15_spl
| ~ sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f713,f719,f722,f185]) ).
fof(f727,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| ~ greater(X1,e_4)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f182,f86]) ).
fof(f728,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(X1,X2)
| ~ next(e_4,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f182,f84]) ).
fof(f729,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_4)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f182,f80]) ).
fof(f730,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f179,f86]) ).
fof(f731,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f179,f84]) ).
fof(f732,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f179,f80]) ).
fof(f733,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f176,f86]) ).
fof(f734,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f176,f84]) ).
fof(f735,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_2)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f176,f80]) ).
fof(f736,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f173,f86]) ).
fof(f737,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f173,f84]) ).
fof(f738,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_1)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f173,f80]) ).
fof(f739,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ next(e_3,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f170,f86]) ).
fof(f740,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ greater(X1,X3)
| ~ greater(e_3,X0)
| ~ next(e_3,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f170,f86]) ).
fof(f742,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f170,f86]) ).
fof(f743,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f170,f84]) ).
fof(f744,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f170,f80]) ).
fof(f745,definition,
! [X0,X1] :
( sQ157_spl
<=> ( ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f746,plain,
! [X0,X1] :
( ~ sQ157_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,definition,
( sQ158_spl
<=> next(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( sQ158_spl
| ~ next(e_3,e_3) ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f751,plain,
( ~ sQ10_spl
| ~ sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f739,f745,f748,f169]) ).
fof(f753,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| ~ greater(X1,e_4)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f166,f86]) ).
fof(f754,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(X1,X2)
| ~ next(e_4,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f166,f84]) ).
fof(f755,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f166,f80]) ).
fof(f756,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f163,f86]) ).
fof(f757,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f163,f84]) ).
fof(f758,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_3)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f163,f80]) ).
fof(f759,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f160,f86]) ).
fof(f760,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f160,f84]) ).
fof(f761,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_2)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f160,f80]) ).
fof(f762,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f157,f86]) ).
fof(f763,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f157,f84]) ).
fof(f764,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_1)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f157,f80]) ).
fof(f765,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ next(e_4,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f154,f86]) ).
fof(f766,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| ~ greater(X1,X3)
| ~ greater(e_4,X0)
| ~ next(e_4,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f154,f86]) ).
fof(f768,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f154,f86]) ).
fof(f769,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f154,f84]) ).
fof(f770,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f154,f80]) ).
fof(f771,definition,
! [X0,X1] :
( sQ159_spl
<=> ( ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f772,plain,
! [X0,X1] :
( ~ sQ159_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f774,definition,
( sQ160_spl
<=> next(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( sQ160_spl
| ~ next(e_4,e_4) ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f777,plain,
( ~ sQ5_spl
| ~ sQ160_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f765,f771,f774,f153]) ).
fof(f779,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| ~ greater(X1,e_4)
| ~ greater(X2,X0)
| ~ next(X2,e_5)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f150,f86]) ).
fof(f780,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| equalish(X1,X2)
| ~ next(e_4,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f150,f84]) ).
fof(f781,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_4)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f150,f80]) ).
fof(f782,plain,
( ~ sQ4_spl
| equalish(e_4,e_0) ),
inference(resolution,[status(thm)],[f648,f150]) ).
fof(f784,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_5) ),
inference(resolution,[status(thm)],[f649,f157]) ).
fof(f785,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_4,e_5) ),
inference(resolution,[status(thm)],[f649,f160]) ).
fof(f786,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_4,e_5) ),
inference(resolution,[status(thm)],[f649,f163]) ).
fof(f787,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_4,X0)
| ~ next(e_0,X0)
| ~ greater(e_4,e_0)
| ~ next(e_4,e_5) ),
inference(resolution,[status(thm)],[f649,f166]) ).
fof(f788,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_5) ),
inference(resolution,[status(thm)],[f649,f173]) ).
fof(f789,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_3,e_5) ),
inference(resolution,[status(thm)],[f649,f176]) ).
fof(f790,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_3,e_5) ),
inference(resolution,[status(thm)],[f649,f179]) ).
fof(f791,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_4,X0)
| ~ next(e_0,X0)
| ~ greater(e_4,e_0)
| ~ next(e_3,e_5) ),
inference(resolution,[status(thm)],[f649,f182]) ).
fof(f792,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_5) ),
inference(resolution,[status(thm)],[f649,f189]) ).
fof(f793,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_5) ),
inference(resolution,[status(thm)],[f649,f192]) ).
fof(f794,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_5) ),
inference(resolution,[status(thm)],[f649,f195]) ).
fof(f795,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_4,X0)
| ~ next(e_0,X0)
| ~ greater(e_4,e_0)
| ~ next(e_2,e_5) ),
inference(resolution,[status(thm)],[f649,f198]) ).
fof(f796,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_4,X0)
| ~ next(e_0,X0)
| ~ greater(e_4,e_0)
| ~ next(e_5,e_5) ),
inference(resolution,[status(thm)],[f649,f150]) ).
fof(f797,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(f798,definition,
( sQ161_spl
<=> next(e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f800,plain,
( sQ161_spl
| ~ next(e_4,e_5) ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,definition,
( sQ162_spl
<=> greater(e_1,e_0) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f803,plain,
( sQ162_spl
| ~ greater(e_1,e_0) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,definition,
! [X0] :
( sQ163_spl
<=> ( equalish(e_1,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f805,plain,
! [X0] :
( ~ sQ163_spl
| equalish(e_1,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,plain,
( ~ sQ6_spl
| sQ163_spl
| ~ sQ162_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f784,f798,f801,f804,f156]) ).
fof(f808,definition,
( sQ164_spl
<=> greater(e_2,e_0) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f810,plain,
( sQ164_spl
| ~ greater(e_2,e_0) ),
inference(component_clause,[status(thm)],[f808]) ).
fof(f811,definition,
! [X0] :
( sQ165_spl
<=> ( equalish(e_2,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f812,plain,
! [X0] :
( ~ sQ165_spl
| equalish(e_2,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f814,plain,
( ~ sQ7_spl
| sQ165_spl
| ~ sQ164_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f785,f798,f808,f811,f159]) ).
fof(f815,definition,
( sQ166_spl
<=> greater(e_3,e_0) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( sQ166_spl
| ~ greater(e_3,e_0) ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f818,definition,
! [X0] :
( sQ167_spl
<=> ( equalish(e_3,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f819,plain,
! [X0] :
( ~ sQ167_spl
| equalish(e_3,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f818]) ).
fof(f821,plain,
( ~ sQ8_spl
| sQ167_spl
| ~ sQ166_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f786,f798,f815,f818,f162]) ).
fof(f822,definition,
( sQ168_spl
<=> greater(e_4,e_0) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f824,plain,
( sQ168_spl
| ~ greater(e_4,e_0) ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,definition,
! [X0] :
( sQ169_spl
<=> ( equalish(e_4,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f826,plain,
! [X0] :
( ~ sQ169_spl
| equalish(e_4,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,plain,
( ~ sQ9_spl
| sQ169_spl
| ~ sQ168_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f787,f798,f822,f825,f165]) ).
fof(f829,definition,
( sQ170_spl
<=> next(e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( sQ170_spl
| ~ next(e_3,e_5) ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,plain,
( ~ sQ11_spl
| sQ163_spl
| ~ sQ162_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f788,f829,f801,f804,f172]) ).
fof(f833,plain,
( ~ sQ12_spl
| sQ165_spl
| ~ sQ164_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f789,f829,f808,f811,f175]) ).
fof(f834,plain,
( ~ sQ13_spl
| sQ167_spl
| ~ sQ166_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f790,f829,f815,f818,f178]) ).
fof(f835,plain,
( ~ sQ14_spl
| sQ169_spl
| ~ sQ168_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f791,f829,f822,f825,f181]) ).
fof(f836,definition,
( sQ171_spl
<=> next(e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f838,plain,
( sQ171_spl
| ~ next(e_2,e_5) ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,plain,
( ~ sQ16_spl
| sQ163_spl
| ~ sQ162_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f792,f836,f801,f804,f188]) ).
fof(f840,plain,
( ~ sQ17_spl
| sQ165_spl
| ~ sQ164_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f793,f836,f808,f811,f191]) ).
fof(f841,plain,
( ~ sQ18_spl
| sQ167_spl
| ~ sQ166_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f794,f836,f815,f818,f194]) ).
fof(f842,plain,
( ~ sQ19_spl
| sQ169_spl
| ~ sQ168_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f795,f836,f822,f825,f197]) ).
fof(f843,plain,
( ~ sQ4_spl
| sQ169_spl
| ~ sQ168_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f796,f657,f822,f825,f149]) ).
fof(f844,definition,
( sQ172_spl
<=> greater(e_0,e_0) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f846,plain,
( sQ172_spl
| ~ greater(e_0,e_0) ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f847,definition,
! [X0] :
( sQ173_spl
<=> ( equalish(e_0,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f848,plain,
! [X0] :
( ~ sQ173_spl
| equalish(e_0,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f850,plain,
( sQ173_spl
| ~ sQ172_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f797,f657,f844,f847]) ).
fof(f851,plain,
( sQ168_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f824,f67]) ).
fof(f852,plain,
sQ168_spl,
inference(contradiction_clause,[status(thm)],[f851]) ).
fof(f853,plain,
( sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f800,f63]) ).
fof(f854,plain,
sQ161_spl,
inference(contradiction_clause,[status(thm)],[f853]) ).
fof(f855,plain,
( sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f817,f66]) ).
fof(f856,plain,
sQ166_spl,
inference(contradiction_clause,[status(thm)],[f855]) ).
fof(f857,plain,
( sQ164_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f810,f65]) ).
fof(f858,plain,
sQ164_spl,
inference(contradiction_clause,[status(thm)],[f857]) ).
fof(f859,plain,
( sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f803,f64]) ).
fof(f860,plain,
sQ162_spl,
inference(contradiction_clause,[status(thm)],[f859]) ).
fof(f861,plain,
! [X0,X1] :
( ~ sQ9_spl
| ~ greater(X1,e_4)
| ~ greater(e_5,X0)
| ~ next(e_5,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f166]) ).
fof(f862,plain,
! [X0,X1] :
( ~ sQ11_spl
| ~ greater(X1,e_1)
| ~ greater(e_5,X0)
| ~ next(e_5,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f173]) ).
fof(f863,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(X1,e_2)
| ~ greater(e_5,X0)
| ~ next(e_5,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f176]) ).
fof(f864,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ greater(X1,e_3)
| ~ greater(e_5,X0)
| ~ next(e_5,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f179]) ).
fof(f865,plain,
! [X0,X1] :
( ~ sQ14_spl
| ~ greater(X1,e_4)
| ~ greater(e_5,X0)
| ~ next(e_5,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f182]) ).
fof(f866,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ greater(X1,e_1)
| ~ greater(e_5,X0)
| ~ next(e_5,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f189]) ).
fof(f867,plain,
! [X0,X1] :
( ~ sQ17_spl
| ~ greater(X1,e_2)
| ~ greater(e_5,X0)
| ~ next(e_5,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f192]) ).
fof(f868,plain,
! [X0,X1] :
( ~ sQ18_spl
| ~ greater(X1,e_3)
| ~ greater(e_5,X0)
| ~ next(e_5,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f195]) ).
fof(f869,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ greater(X1,e_4)
| ~ greater(e_5,X0)
| ~ next(e_5,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f198]) ).
fof(f870,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ greater(X1,e_4)
| ~ greater(e_5,X0)
| ~ next(e_5,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f651,f150]) ).
fof(f872,definition,
! [X0,X1] :
( sQ174_spl
<=> ( ~ greater(X1,e_4)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f873,plain,
! [X0,X1] :
( ~ sQ174_spl
| ~ greater(X1,e_4)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f872]) ).
fof(f875,definition,
( sQ175_spl
<=> next(e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f877,plain,
( sQ175_spl
| ~ next(e_5,e_4) ),
inference(component_clause,[status(thm)],[f875]) ).
fof(f878,plain,
( ~ sQ9_spl
| ~ sQ175_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f861,f872,f875,f165]) ).
fof(f879,definition,
! [X0,X1] :
( sQ176_spl
<=> ( ~ greater(X1,e_1)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f880,plain,
! [X0,X1] :
( ~ sQ176_spl
| ~ greater(X1,e_1)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f882,definition,
( sQ177_spl
<=> next(e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f884,plain,
( sQ177_spl
| ~ next(e_5,e_3) ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f885,plain,
( ~ sQ11_spl
| ~ sQ177_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f862,f879,f882,f172]) ).
fof(f886,definition,
! [X0,X1] :
( sQ178_spl
<=> ( ~ greater(X1,e_2)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f887,plain,
! [X0,X1] :
( ~ sQ178_spl
| ~ greater(X1,e_2)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f886]) ).
fof(f889,plain,
( ~ sQ12_spl
| ~ sQ177_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f863,f886,f882,f175]) ).
fof(f890,definition,
! [X0,X1] :
( sQ179_spl
<=> ( ~ greater(X1,e_3)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f891,plain,
! [X0,X1] :
( ~ sQ179_spl
| ~ greater(X1,e_3)
| ~ greater(e_5,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f893,plain,
( ~ sQ13_spl
| ~ sQ177_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f864,f890,f882,f178]) ).
fof(f894,plain,
( ~ sQ14_spl
| ~ sQ177_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f865,f872,f882,f181]) ).
fof(f895,definition,
( sQ180_spl
<=> next(e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f897,plain,
( sQ180_spl
| ~ next(e_5,e_2) ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f898,plain,
( ~ sQ16_spl
| ~ sQ180_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f866,f879,f895,f188]) ).
fof(f899,plain,
( ~ sQ17_spl
| ~ sQ180_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f867,f886,f895,f191]) ).
fof(f900,plain,
( ~ sQ18_spl
| ~ sQ180_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f868,f890,f895,f194]) ).
fof(f901,plain,
( ~ sQ19_spl
| ~ sQ180_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f869,f872,f895,f197]) ).
fof(f902,plain,
( ~ sQ4_spl
| ~ sQ151_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f870,f872,f657,f149]) ).
fof(f904,plain,
( ~ sQ153_spl
| ~ sQ20_spl
| ~ greater(e_0,e_0) ),
inference(resolution,[status(thm)],[f202,f668]) ).
fof(f905,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ next(e_1,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f202,f86]) ).
fof(f906,plain,
! [X0,X1,X2,X3] :
( ~ sQ20_spl
| ~ greater(X1,X3)
| ~ greater(e_1,X0)
| ~ next(e_1,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f202,f86]) ).
fof(f907,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ greater(X1,e_0)
| ~ greater(e_5,X0)
| ~ next(e_5,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f202,f651]) ).
fof(f908,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_5) ),
inference(resolution,[status(thm)],[f202,f649]) ).
fof(f910,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f202,f86]) ).
fof(f911,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f202,f84]) ).
fof(f912,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f202,f80]) ).
fof(f913,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(f914,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f916,definition,
( sQ182_spl
<=> next(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f918,plain,
( sQ182_spl
| ~ next(e_1,e_1) ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f919,plain,
( ~ sQ20_spl
| ~ sQ182_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f905,f913,f916,f201]) ).
fof(f920,definition,
( sQ183_spl
<=> next(e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f922,plain,
( sQ183_spl
| ~ next(e_5,e_1) ),
inference(component_clause,[status(thm)],[f920]) ).
fof(f923,plain,
( ~ sQ20_spl
| ~ sQ183_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f907,f654,f920,f201]) ).
fof(f924,definition,
( sQ184_spl
<=> next(e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f926,plain,
( sQ184_spl
| ~ next(e_1,e_5) ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f927,plain,
( ~ sQ20_spl
| sQ173_spl
| ~ sQ172_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f908,f924,f844,f847,f201]) ).
fof(f929,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ next(e_1,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f652,f202]) ).
fof(f931,plain,
( ~ sQ20_spl
| ~ sQ184_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f929,f913,f924,f201]) ).
fof(f937,plain,
( ~ sQ20_spl
| ~ sQ150_spl
| ~ greater(e_0,e_0)
| ~ greater(e_5,e_1) ),
inference(resolution,[status(thm)],[f655,f202]) ).
fof(f938,plain,
( ~ sQ11_spl
| ~ sQ150_spl
| ~ greater(e_1,e_0)
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f655,f173]) ).
fof(f939,plain,
( ~ sQ16_spl
| ~ sQ150_spl
| ~ greater(e_1,e_0)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f655,f189]) ).
fof(f940,plain,
( ~ sQ150_spl
| ~ greater(e_0,e_0)
| ~ greater(e_5,e_5) ),
inference(resolution,[status(thm)],[f655,f82]) ).
fof(f941,definition,
( sQ185_spl
<=> greater(e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f943,plain,
( sQ185_spl
| ~ greater(e_5,e_1) ),
inference(component_clause,[status(thm)],[f941]) ).
fof(f944,plain,
( ~ sQ20_spl
| ~ sQ150_spl
| ~ sQ172_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f937,f941,f844,f654,f201]) ).
fof(f945,definition,
( sQ186_spl
<=> greater(e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f947,plain,
( sQ186_spl
| ~ greater(e_5,e_3) ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f948,plain,
( ~ sQ11_spl
| ~ sQ150_spl
| ~ sQ162_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f938,f945,f801,f654,f172]) ).
fof(f949,definition,
( sQ187_spl
<=> greater(e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f951,plain,
( sQ187_spl
| ~ greater(e_5,e_2) ),
inference(component_clause,[status(thm)],[f949]) ).
fof(f952,plain,
( ~ sQ16_spl
| ~ sQ150_spl
| ~ sQ162_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f939,f949,f801,f654,f188]) ).
fof(f953,definition,
( sQ188_spl
<=> greater(e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f955,plain,
( sQ188_spl
| ~ greater(e_5,e_5) ),
inference(component_clause,[status(thm)],[f953]) ).
fof(f956,plain,
( ~ sQ150_spl
| ~ sQ172_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f940,f953,f844,f654]) ).
fof(f957,plain,
( sQ187_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f951,f75]) ).
fof(f958,plain,
sQ187_spl,
inference(contradiction_clause,[status(thm)],[f957]) ).
fof(f959,plain,
( sQ186_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f947,f77]) ).
fof(f960,plain,
sQ186_spl,
inference(contradiction_clause,[status(thm)],[f959]) ).
fof(f961,plain,
( sQ185_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f943,f72]) ).
fof(f962,plain,
sQ185_spl,
inference(contradiction_clause,[status(thm)],[f961]) ).
fof(f963,plain,
( ~ sQ3_spl
| equalish(e_3,e_0) ),
inference(resolution,[status(thm)],[f147,f648]) ).
fof(f964,plain,
( ~ sQ150_spl
| ~ sQ3_spl
| ~ greater(e_3,e_0)
| ~ greater(e_5,e_5) ),
inference(resolution,[status(thm)],[f147,f655]) ).
fof(f965,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ greater(X1,e_3)
| ~ greater(e_5,X0)
| ~ next(e_5,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f147,f651]) ).
fof(f966,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_5,e_5) ),
inference(resolution,[status(thm)],[f147,f649]) ).
fof(f967,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_5)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f147,f86]) ).
fof(f968,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f147,f84]) ).
fof(f969,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_3)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f147,f80]) ).
fof(f970,plain,
( ~ sQ150_spl
| ~ sQ3_spl
| ~ sQ166_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f964,f953,f815,f146,f654]) ).
fof(f971,plain,
( ~ sQ3_spl
| ~ sQ151_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f965,f890,f657,f146]) ).
fof(f972,plain,
( ~ sQ3_spl
| sQ167_spl
| ~ sQ166_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f966,f657,f815,f818,f146]) ).
fof(f973,plain,
( ~ sQ2_spl
| equalish(e_2,e_0) ),
inference(resolution,[status(thm)],[f144,f648]) ).
fof(f974,plain,
( ~ sQ150_spl
| ~ sQ2_spl
| ~ greater(e_2,e_0)
| ~ greater(e_5,e_5) ),
inference(resolution,[status(thm)],[f144,f655]) ).
fof(f975,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ greater(X1,e_2)
| ~ greater(e_5,X0)
| ~ next(e_5,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f144,f651]) ).
fof(f976,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_5,e_5) ),
inference(resolution,[status(thm)],[f144,f649]) ).
fof(f977,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_5)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f144,f86]) ).
fof(f978,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f144,f84]) ).
fof(f979,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_2)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f144,f80]) ).
fof(f980,plain,
( ~ sQ150_spl
| ~ sQ2_spl
| ~ sQ164_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f974,f953,f808,f143,f654]) ).
fof(f981,plain,
( ~ sQ2_spl
| ~ sQ151_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f975,f886,f657,f143]) ).
fof(f982,plain,
( ~ sQ2_spl
| sQ165_spl
| ~ sQ164_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f976,f657,f808,f811,f143]) ).
fof(f983,plain,
( ~ sQ1_spl
| equalish(e_1,e_0) ),
inference(resolution,[status(thm)],[f141,f648]) ).
fof(f984,plain,
( ~ sQ150_spl
| ~ sQ1_spl
| ~ greater(e_1,e_0)
| ~ greater(e_5,e_5) ),
inference(resolution,[status(thm)],[f141,f655]) ).
fof(f985,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ greater(X1,e_1)
| ~ greater(e_5,X0)
| ~ next(e_5,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f141,f651]) ).
fof(f986,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_5,e_5) ),
inference(resolution,[status(thm)],[f141,f649]) ).
fof(f987,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_5)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f141,f86]) ).
fof(f988,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f141,f84]) ).
fof(f989,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_1)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f141,f80]) ).
fof(f990,plain,
( ~ sQ150_spl
| ~ sQ1_spl
| ~ sQ162_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f984,f953,f801,f140,f654]) ).
fof(f991,plain,
( ~ sQ1_spl
| ~ sQ151_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f985,f879,f657,f140]) ).
fof(f992,plain,
( ~ sQ1_spl
| sQ163_spl
| ~ sQ162_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f986,f657,f801,f804,f140]) ).
fof(f993,plain,
( ~ sQ150_spl
| ~ sQ8_spl
| ~ greater(e_3,e_0)
| ~ greater(e_5,e_4) ),
inference(resolution,[status(thm)],[f163,f655]) ).
fof(f994,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ greater(X1,e_3)
| ~ greater(e_5,X0)
| ~ next(e_5,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f163,f651]) ).
fof(f996,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f163,f86]) ).
fof(f997,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f163,f84]) ).
fof(f998,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_3)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f163,f80]) ).
fof(f999,definition,
( sQ189_spl
<=> greater(e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( sQ189_spl
| ~ greater(e_5,e_4) ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,plain,
( ~ sQ150_spl
| ~ sQ8_spl
| ~ sQ166_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f993,f999,f815,f162,f654]) ).
fof(f1003,plain,
( ~ sQ8_spl
| ~ sQ175_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f994,f890,f875,f162]) ).
fof(f1005,plain,
( sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1001,f78]) ).
fof(f1006,plain,
sQ189_spl,
inference(contradiction_clause,[status(thm)],[f1005]) ).
fof(f1007,plain,
( ~ sQ150_spl
| ~ sQ17_spl
| ~ greater(e_2,e_0)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f192,f655]) ).
fof(f1013,plain,
( ~ sQ150_spl
| ~ sQ17_spl
| ~ sQ164_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f1007,f949,f808,f191,f654]) ).
fof(f1016,plain,
( ~ sQ150_spl
| ~ sQ12_spl
| ~ greater(e_2,e_0)
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f176,f655]) ).
fof(f1022,plain,
( ~ sQ150_spl
| ~ sQ12_spl
| ~ sQ164_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f1016,f945,f808,f175,f654]) ).
fof(f1025,plain,
( ~ sQ150_spl
| ~ sQ7_spl
| ~ greater(e_2,e_0)
| ~ greater(e_5,e_4) ),
inference(resolution,[status(thm)],[f160,f655]) ).
fof(f1026,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ greater(X1,e_2)
| ~ greater(e_5,X0)
| ~ next(e_5,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f160,f651]) ).
fof(f1028,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f160,f86]) ).
fof(f1029,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f160,f84]) ).
fof(f1030,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_2)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f160,f80]) ).
fof(f1031,plain,
( ~ sQ150_spl
| ~ sQ7_spl
| ~ sQ164_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f1025,f999,f808,f159,f654]) ).
fof(f1032,plain,
( ~ sQ7_spl
| ~ sQ175_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1026,f886,f875,f159]) ).
fof(f1034,plain,
( ~ sQ150_spl
| ~ sQ18_spl
| ~ greater(e_3,e_0)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f195,f655]) ).
fof(f1037,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f86]) ).
fof(f1038,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f84]) ).
fof(f1039,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f195,f80]) ).
fof(f1040,plain,
( ~ sQ150_spl
| ~ sQ18_spl
| ~ sQ166_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f1034,f949,f815,f194,f654]) ).
fof(f1043,plain,
( ~ sQ150_spl
| ~ sQ13_spl
| ~ greater(e_3,e_0)
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f179,f655]) ).
fof(f1046,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f179,f86]) ).
fof(f1047,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f179,f84]) ).
fof(f1048,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f179,f80]) ).
fof(f1049,plain,
( ~ sQ150_spl
| ~ sQ13_spl
| ~ sQ166_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f1043,f945,f815,f178,f654]) ).
fof(f1053,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ next(e_4,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f154,f652]) ).
fof(f1056,plain,
( ~ sQ150_spl
| ~ sQ5_spl
| ~ greater(e_0,e_0)
| ~ greater(e_5,e_4) ),
inference(resolution,[status(thm)],[f154,f655]) ).
fof(f1057,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ greater(X1,e_0)
| ~ greater(e_5,X0)
| ~ next(e_5,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f154,f651]) ).
fof(f1058,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_5) ),
inference(resolution,[status(thm)],[f154,f649]) ).
fof(f1064,plain,
( ~ sQ5_spl
| ~ sQ161_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1053,f771,f798,f153]) ).
fof(f1066,plain,
( ~ sQ150_spl
| ~ sQ5_spl
| ~ sQ172_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f1056,f999,f844,f153,f654]) ).
fof(f1067,plain,
( ~ sQ5_spl
| ~ sQ175_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1057,f654,f875,f153]) ).
fof(f1068,plain,
( ~ sQ5_spl
| sQ173_spl
| ~ sQ172_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f1058,f798,f844,f847,f153]) ).
fof(f1070,plain,
( ~ sQ150_spl
| ~ sQ19_spl
| ~ greater(e_4,e_0)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f198,f655]) ).
fof(f1076,plain,
( ~ sQ150_spl
| ~ sQ19_spl
| ~ sQ168_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f1070,f949,f822,f197,f654]) ).
fof(f1079,plain,
( ~ sQ150_spl
| ~ sQ14_spl
| ~ greater(e_4,e_0)
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f182,f655]) ).
fof(f1082,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| ~ greater(X1,e_4)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f182,f86]) ).
fof(f1083,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(X1,X2)
| ~ next(e_4,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f182,f84]) ).
fof(f1084,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_4)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f182,f80]) ).
fof(f1085,plain,
( ~ sQ150_spl
| ~ sQ14_spl
| ~ sQ168_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f1079,f945,f822,f181,f654]) ).
fof(f1088,plain,
( ~ sQ150_spl
| ~ sQ9_spl
| ~ greater(e_4,e_0)
| ~ greater(e_5,e_4) ),
inference(resolution,[status(thm)],[f166,f655]) ).
fof(f1091,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| ~ greater(X1,e_4)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f166,f86]) ).
fof(f1092,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(X1,X2)
| ~ next(e_4,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f166,f84]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f166,f80]) ).
fof(f1094,plain,
( ~ sQ150_spl
| ~ sQ9_spl
| ~ sQ168_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f1088,f999,f822,f165,f654]) ).
fof(f1098,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ greater(X1,e_0)
| ~ greater(e_2,X0)
| ~ next(e_2,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f186,f652]) ).
fof(f1100,plain,
! [X0,X1,X2,X3] :
( ~ sQ15_spl
| ~ greater(X1,X3)
| ~ greater(e_2,X0)
| ~ next(e_2,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f186,f86]) ).
fof(f1101,plain,
( ~ sQ150_spl
| ~ sQ15_spl
| ~ greater(e_0,e_0)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f186,f655]) ).
fof(f1102,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ greater(X1,e_0)
| ~ greater(e_5,X0)
| ~ next(e_5,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f186,f651]) ).
fof(f1103,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_2,e_5) ),
inference(resolution,[status(thm)],[f186,f649]) ).
fof(f1105,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f186,f86]) ).
fof(f1106,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f186,f84]) ).
fof(f1107,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f186,f80]) ).
fof(f1109,plain,
( ~ sQ15_spl
| ~ sQ171_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f1098,f719,f836,f185]) ).
fof(f1111,plain,
( ~ sQ150_spl
| ~ sQ15_spl
| ~ sQ172_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f1101,f949,f844,f185,f654]) ).
fof(f1112,plain,
( ~ sQ15_spl
| ~ sQ180_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1102,f654,f895,f185]) ).
fof(f1113,plain,
( ~ sQ15_spl
| sQ173_spl
| ~ sQ172_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f1103,f836,f844,f847,f185]) ).
fof(f1116,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ next(e_3,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f170,f652]) ).
fof(f1119,plain,
( ~ sQ150_spl
| ~ sQ10_spl
| ~ greater(e_0,e_0)
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f170,f655]) ).
fof(f1120,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ greater(X1,e_0)
| ~ greater(e_5,X0)
| ~ next(e_5,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f170,f651]) ).
fof(f1121,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_5) ),
inference(resolution,[status(thm)],[f170,f649]) ).
fof(f1127,plain,
( ~ sQ10_spl
| ~ sQ170_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1116,f745,f829,f169]) ).
fof(f1129,plain,
( ~ sQ150_spl
| ~ sQ10_spl
| ~ sQ172_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f1119,f945,f844,f169,f654]) ).
fof(f1130,plain,
( ~ sQ10_spl
| ~ sQ177_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1120,f654,f882,f169]) ).
fof(f1131,plain,
( ~ sQ10_spl
| sQ173_spl
| ~ sQ172_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f1121,f829,f844,f847,f169]) ).
fof(f1153,plain,
( ~ sQ49_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f304,f129]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f304,f121]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f304,f119]) ).
fof(f1156,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f304,f117]) ).
fof(f1157,plain,
! [X0] :
( ~ sQ49_spl
| product(X0,e_5,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f304,f124]) ).
fof(f1158,definition,
! [X0] :
( sQ190_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1159,plain,
! [X0] :
( ~ sQ190_spl
| ~ greater(X0,e_0)
| ~ cycle(e_5,X0) ),
inference(component_clause,[status(thm)],[f1158]) ).
fof(f1161,definition,
! [X1] :
( sQ191_spl
<=> ( equalish(e_5,X1)
| ~ next(e_5,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1162,plain,
! [X0] :
( ~ sQ191_spl
| equalish(e_5,X0)
| ~ next(e_5,X0) ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1166,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1153,f98]) ).
fof(f1167,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f1166]) ).
fof(f1168,plain,
( ~ sQ4_spl
| equalish(e_4,e_0) ),
inference(resolution,[status(thm)],[f150,f648]) ).
fof(f1169,plain,
( ~ sQ150_spl
| ~ sQ4_spl
| ~ greater(e_4,e_0)
| ~ greater(e_5,e_5) ),
inference(resolution,[status(thm)],[f150,f655]) ).
fof(f1172,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| ~ greater(X1,e_4)
| ~ greater(X2,X0)
| ~ next(X2,e_5)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f150,f86]) ).
fof(f1173,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| equalish(X1,X2)
| ~ next(e_4,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f150,f84]) ).
fof(f1174,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_4)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f150,f80]) ).
fof(f1175,plain,
( ~ sQ150_spl
| ~ sQ4_spl
| ~ sQ168_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f1169,f953,f822,f149,f654]) ).
fof(f1182,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_5)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f147,f86]) ).
fof(f1183,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_5)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f147,f84]) ).
fof(f1184,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_3)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f147,f80]) ).
fof(f1188,plain,
! [X0,X1] :
( ~ sQ48_spl
| equalish(e_4,X1)
| ~ next(e_5,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f301,f89]) ).
fof(f1189,plain,
( ~ sQ48_spl
| ~ greater(e_4,e_5)
| ~ cycle(e_5,e_0) ),
inference(resolution,[status(thm)],[f301,f87]) ).
fof(f1190,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f301,f121]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f301,f119]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f301,f117]) ).
fof(f1193,plain,
! [X0] :
( ~ sQ48_spl
| product(X0,e_4,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f301,f124]) ).
fof(f1194,definition,
! [X1] :
( sQ192_spl
<=> ( equalish(e_4,X1)
| ~ next(e_5,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1195,plain,
! [X0] :
( ~ sQ192_spl
| equalish(e_4,X0)
| ~ next(e_5,X0) ),
inference(component_clause,[status(thm)],[f1194]) ).
fof(f1197,plain,
( ~ sQ48_spl
| sQ192_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1188,f1158,f1194,f300]) ).
fof(f1198,definition,
( sQ193_spl
<=> greater(e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1200,plain,
( sQ193_spl
| ~ greater(e_4,e_5) ),
inference(component_clause,[status(thm)],[f1198]) ).
fof(f1201,plain,
( ~ sQ48_spl
| ~ sQ193_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1189,f137,f1198,f300]) ).
fof(f1202,plain,
! [X0,X1] :
( ~ sQ47_spl
| equalish(e_3,X1)
| ~ next(e_5,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f298,f89]) ).
fof(f1203,plain,
( ~ sQ47_spl
| ~ greater(e_3,e_5)
| ~ cycle(e_5,e_0) ),
inference(resolution,[status(thm)],[f298,f87]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f298,f121]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f298,f119]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f298,f117]) ).
fof(f1207,plain,
! [X0] :
( ~ sQ47_spl
| product(X0,e_3,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f298,f124]) ).
fof(f1208,definition,
! [X1] :
( sQ194_spl
<=> ( equalish(e_3,X1)
| ~ next(e_5,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1209,plain,
! [X0] :
( ~ sQ194_spl
| equalish(e_3,X0)
| ~ next(e_5,X0) ),
inference(component_clause,[status(thm)],[f1208]) ).
fof(f1211,plain,
( ~ sQ47_spl
| sQ194_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1202,f1158,f1208,f297]) ).
fof(f1212,definition,
( sQ195_spl
<=> greater(e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1214,plain,
( sQ195_spl
| ~ greater(e_3,e_5) ),
inference(component_clause,[status(thm)],[f1212]) ).
fof(f1215,plain,
( ~ sQ47_spl
| ~ sQ195_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1203,f137,f1212,f297]) ).
fof(f1216,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f139,f82]) ).
fof(f1217,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f1216]) ).
fof(f1218,plain,
! [X0,X1] :
( ~ sQ46_spl
| equalish(e_2,X1)
| ~ next(e_5,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f295,f89]) ).
fof(f1219,plain,
( ~ sQ46_spl
| ~ greater(e_2,e_5)
| ~ cycle(e_5,e_0) ),
inference(resolution,[status(thm)],[f295,f87]) ).
fof(f1220,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f295,f121]) ).
fof(f1221,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f295,f119]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f295,f117]) ).
fof(f1223,plain,
! [X0] :
( ~ sQ46_spl
| product(X0,e_2,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f295,f124]) ).
fof(f1224,definition,
! [X1] :
( sQ196_spl
<=> ( equalish(e_2,X1)
| ~ next(e_5,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1225,plain,
! [X0] :
( ~ sQ196_spl
| equalish(e_2,X0)
| ~ next(e_5,X0) ),
inference(component_clause,[status(thm)],[f1224]) ).
fof(f1227,plain,
( ~ sQ46_spl
| sQ196_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1218,f1158,f1224,f294]) ).
fof(f1228,definition,
( sQ197_spl
<=> greater(e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1230,plain,
( sQ197_spl
| ~ greater(e_2,e_5) ),
inference(component_clause,[status(thm)],[f1228]) ).
fof(f1231,plain,
( ~ sQ46_spl
| ~ sQ197_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1219,f137,f1228,f294]) ).
fof(f1234,plain,
( ~ sQ45_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f292,f130]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f292,f121]) ).
fof(f1236,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f292,f119]) ).
fof(f1237,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f292,f117]) ).
fof(f1238,plain,
! [X0] :
( ~ sQ45_spl
| product(X0,e_1,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f292,f124]) ).
fof(f1239,definition,
! [X1] :
( sQ198_spl
<=> ( equalish(e_1,X1)
| ~ next(e_5,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1240,plain,
! [X0] :
( ~ sQ198_spl
| equalish(e_1,X0)
| ~ next(e_5,X0) ),
inference(component_clause,[status(thm)],[f1239]) ).
fof(f1243,definition,
( sQ199_spl
<=> greater(e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1245,plain,
( sQ199_spl
| ~ greater(e_1,e_5) ),
inference(component_clause,[status(thm)],[f1243]) ).
fof(f1247,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1234,f111]) ).
fof(f1248,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f1247]) ).
fof(f1249,plain,
( ~ sQ44_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f288,f129]) ).
fof(f1250,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f288,f121]) ).
fof(f1251,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f288,f119]) ).
fof(f1252,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f288,f117]) ).
fof(f1253,plain,
! [X0] :
( ~ sQ44_spl
| product(X0,e_5,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f288,f124]) ).
fof(f1254,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1249,f102]) ).
fof(f1255,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f1254]) ).
fof(f1256,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f285,f121]) ).
fof(f1257,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f285,f119]) ).
fof(f1258,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f285,f117]) ).
fof(f1259,plain,
! [X0] :
( ~ sQ43_spl
| product(X0,e_4,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f285,f124]) ).
fof(f1263,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f282,f1258]) ).
fof(f1264,plain,
( ~ sQ47_spl
| ~ sQ42_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f282,f1205]) ).
fof(f1265,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f282,f121]) ).
fof(f1266,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f282,f119]) ).
fof(f1267,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f282,f117]) ).
fof(f1268,plain,
! [X0] :
( ~ sQ42_spl
| product(X0,e_3,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f282,f124]) ).
fof(f1269,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1263,f105]) ).
fof(f1270,plain,
( ~ sQ43_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1269]) ).
fof(f1271,plain,
( ~ sQ41_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f279,f130]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f279,f121]) ).
fof(f1273,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f279,f119]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f279,f117]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ41_spl
| product(X0,e_2,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f279,f124]) ).
fof(f1276,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1271,f112]) ).
fof(f1277,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f1276]) ).
fof(f1278,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f276,f121]) ).
fof(f1279,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f276,f119]) ).
fof(f1280,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f276,f117]) ).
fof(f1281,plain,
! [X0] :
( ~ sQ40_spl
| product(X0,e_1,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f276,f124]) ).
fof(f1283,plain,
( ~ sQ39_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f272,f129]) ).
fof(f1284,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f272,f121]) ).
fof(f1285,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f272,f119]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f272,f117]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ39_spl
| product(X0,e_5,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f272,f124]) ).
fof(f1288,plain,
( ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1283,f106]) ).
fof(f1289,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f1288]) ).
fof(f1290,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f269,f121]) ).
fof(f1291,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f269,f119]) ).
fof(f1292,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f269,f117]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ38_spl
| product(X0,e_4,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f269,f124]) ).
fof(f1295,plain,
( ~ sQ37_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f266,f130]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f266,f121]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f266,f119]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f266,f117]) ).
fof(f1299,plain,
! [X0] :
( ~ sQ37_spl
| product(X0,e_3,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f266,f124]) ).
fof(f1302,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f263,f121]) ).
fof(f1303,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f263,f119]) ).
fof(f1304,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f263,f117]) ).
fof(f1305,plain,
! [X0] :
( ~ sQ36_spl
| product(X0,e_2,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f263,f124]) ).
fof(f1306,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f260,f121]) ).
fof(f1307,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f260,f119]) ).
fof(f1308,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_1)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f260,f117]) ).
fof(f1309,plain,
! [X0] :
( ~ sQ35_spl
| product(X0,e_1,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f260,f124]) ).
fof(f1310,plain,
( ~ sQ34_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f256,f129]) ).
fof(f1311,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f256,f121]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f256,f119]) ).
fof(f1313,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f256,f117]) ).
fof(f1314,plain,
! [X0] :
( ~ sQ34_spl
| product(X0,e_5,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f256,f124]) ).
fof(f1315,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1310,f110]) ).
fof(f1316,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f1315]) ).
fof(f1317,plain,
( ~ sQ33_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f253,f130]) ).
fof(f1318,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f253,f121]) ).
fof(f1319,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f253,f119]) ).
fof(f1320,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f253,f117]) ).
fof(f1321,plain,
! [X0] :
( ~ sQ33_spl
| product(X0,e_4,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f253,f124]) ).
fof(f1322,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1317,f114]) ).
fof(f1323,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f1322]) ).
fof(f1324,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f250,f121]) ).
fof(f1325,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f250,f119]) ).
fof(f1326,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f250,f117]) ).
fof(f1327,plain,
! [X0] :
( ~ sQ32_spl
| product(X0,e_3,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f250,f124]) ).
fof(f1328,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f247,f121]) ).
fof(f1329,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f247,f119]) ).
fof(f1330,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f247,f117]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ31_spl
| product(X0,e_2,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f247,f124]) ).
fof(f1332,plain,
( ~ sQ35_spl
| ~ sQ40_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1279,f260]) ).
fof(f1334,plain,
( ~ sQ35_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1332,f104]) ).
fof(f1335,plain,
( ~ sQ35_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1334]) ).
fof(f1338,plain,
( ~ sQ36_spl
| ~ sQ38_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1292,f263]) ).
fof(f1340,plain,
( ~ sQ36_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1338,f101]) ).
fof(f1341,plain,
( ~ sQ36_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1340]) ).
fof(f1342,plain,
( ~ sQ31_spl
| ~ sQ46_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1221,f247]) ).
fof(f1343,plain,
( ~ sQ36_spl
| ~ sQ46_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1221,f263]) ).
fof(f1344,plain,
( ~ sQ31_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1342,f107]) ).
fof(f1345,plain,
( ~ sQ31_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1344]) ).
fof(f1346,plain,
( ~ sQ36_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1343,f103]) ).
fof(f1347,plain,
( ~ sQ36_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1346]) ).
fof(f1351,plain,
( ~ sQ32_spl
| ~ sQ42_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1266,f250]) ).
fof(f1352,plain,
( ~ sQ32_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1351,f108]) ).
fof(f1353,plain,
( ~ sQ32_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1352]) ).
fof(f1354,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1295,f113]) ).
fof(f1355,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f1354]) ).
fof(f1356,plain,
( ~ sQ35_spl
| ~ sQ30_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f244,f1307]) ).
fof(f1357,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f244,f121]) ).
fof(f1358,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f244,f119]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f244,f117]) ).
fof(f1360,plain,
! [X0] :
( ~ sQ30_spl
| product(X0,e_1,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f244,f124]) ).
fof(f1361,plain,
( ~ sQ35_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1356,f109]) ).
fof(f1362,plain,
( ~ sQ35_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1361]) ).
fof(f1363,plain,
! [X0,X1] :
( ~ sQ74_spl
| equalish(e_5,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f389,f89]) ).
fof(f1364,plain,
( ~ sQ74_spl
| ~ greater(e_5,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f389,f87]) ).
fof(f1365,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f389,f121]) ).
fof(f1366,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f389,f119]) ).
fof(f1367,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f389,f117]) ).
fof(f1368,plain,
! [X0] :
( ~ sQ74_spl
| product(X0,e_5,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f389,f124]) ).
fof(f1369,definition,
! [X0] :
( sQ200_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1370,plain,
! [X0] :
( ~ sQ200_spl
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(component_clause,[status(thm)],[f1369]) ).
fof(f1372,definition,
! [X1] :
( sQ201_spl
<=> ( equalish(e_5,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1373,plain,
! [X0] :
( ~ sQ201_spl
| equalish(e_5,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f1372]) ).
fof(f1375,plain,
( ~ sQ74_spl
| sQ201_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1363,f1369,f1372,f388]) ).
fof(f1376,plain,
( ~ sQ74_spl
| ~ sQ189_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1364,f153,f999,f388]) ).
fof(f1379,plain,
( ~ sQ73_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f386,f129]) ).
fof(f1380,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f386,f121]) ).
fof(f1381,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f386,f119]) ).
fof(f1382,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f386,f117]) ).
fof(f1383,plain,
! [X0] :
( ~ sQ73_spl
| product(X0,e_4,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f386,f124]) ).
fof(f1384,definition,
! [X1] :
( sQ202_spl
<=> ( equalish(e_4,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1385,plain,
! [X0] :
( ~ sQ202_spl
| equalish(e_4,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f1384]) ).
fof(f1388,definition,
( sQ203_spl
<=> greater(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1390,plain,
( sQ203_spl
| ~ greater(e_4,e_4) ),
inference(component_clause,[status(thm)],[f1388]) ).
fof(f1392,plain,
( ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1379,f97]) ).
fof(f1393,plain,
~ sQ73_spl,
inference(contradiction_clause,[status(thm)],[f1392]) ).
fof(f1394,plain,
! [X0,X1] :
( ~ sQ72_spl
| equalish(e_3,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f383,f89]) ).
fof(f1395,plain,
( ~ sQ72_spl
| ~ greater(e_3,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f383,f87]) ).
fof(f1396,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f383,f121]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f383,f119]) ).
fof(f1398,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f383,f117]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ72_spl
| product(X0,e_3,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f383,f124]) ).
fof(f1400,definition,
! [X1] :
( sQ204_spl
<=> ( equalish(e_3,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1401,plain,
! [X0] :
( ~ sQ204_spl
| equalish(e_3,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f1400]) ).
fof(f1403,plain,
( ~ sQ72_spl
| sQ204_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1394,f1369,f1400,f382]) ).
fof(f1404,definition,
( sQ205_spl
<=> greater(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1406,plain,
( sQ205_spl
| ~ greater(e_3,e_4) ),
inference(component_clause,[status(thm)],[f1404]) ).
fof(f1407,plain,
( ~ sQ72_spl
| ~ sQ205_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1395,f153,f1404,f382]) ).
fof(f1408,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f380,f1220]) ).
fof(f1409,plain,
! [X0,X1] :
( ~ sQ71_spl
| equalish(e_2,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f380,f89]) ).
fof(f1410,plain,
( ~ sQ71_spl
| ~ greater(e_2,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f380,f87]) ).
fof(f1411,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f380,f121]) ).
fof(f1412,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f380,f119]) ).
fof(f1413,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f380,f117]) ).
fof(f1414,plain,
! [X0] :
( ~ sQ71_spl
| product(X0,e_2,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f380,f124]) ).
fof(f1415,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1408,f110]) ).
fof(f1416,plain,
( ~ sQ46_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1415]) ).
fof(f1419,plain,
( ~ sQ70_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f377,f130]) ).
fof(f1420,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f377,f121]) ).
fof(f1421,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f377,f119]) ).
fof(f1422,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f377,f117]) ).
fof(f1423,plain,
! [X0] :
( ~ sQ70_spl
| product(X0,e_1,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f377,f124]) ).
fof(f1424,definition,
! [X1] :
( sQ206_spl
<=> ( equalish(e_1,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1425,plain,
! [X0] :
( ~ sQ206_spl
| equalish(e_1,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f1424]) ).
fof(f1428,definition,
( sQ207_spl
<=> greater(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1430,plain,
( sQ207_spl
| ~ greater(e_1,e_4) ),
inference(component_clause,[status(thm)],[f1428]) ).
fof(f1432,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1419,f107]) ).
fof(f1433,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f1432]) ).
fof(f1434,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f373,f121]) ).
fof(f1435,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f373,f119]) ).
fof(f1436,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f373,f117]) ).
fof(f1437,plain,
! [X0] :
( ~ sQ69_spl
| product(X0,e_5,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f373,f124]) ).
fof(f1443,plain,
( ~ sQ68_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f370,f129]) ).
fof(f1444,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f370,f121]) ).
fof(f1445,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f370,f119]) ).
fof(f1446,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f370,f117]) ).
fof(f1447,plain,
! [X0] :
( ~ sQ68_spl
| product(X0,e_4,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f370,f124]) ).
fof(f1450,plain,
( ~ sQ72_spl
| ~ sQ67_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f367,f1397]) ).
fof(f1451,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f367,f121]) ).
fof(f1452,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f367,f119]) ).
fof(f1453,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f367,f117]) ).
fof(f1454,plain,
! [X0] :
( ~ sQ67_spl
| product(X0,e_3,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f367,f124]) ).
fof(f1455,plain,
( ~ sQ72_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1450,f99]) ).
fof(f1456,plain,
( ~ sQ72_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f1455]) ).
fof(f1457,plain,
( ~ sQ66_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f364,f130]) ).
fof(f1458,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f364,f121]) ).
fof(f1459,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f364,f119]) ).
fof(f1460,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f364,f117]) ).
fof(f1461,plain,
! [X0] :
( ~ sQ66_spl
| product(X0,e_2,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f364,f124]) ).
fof(f1462,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1457,f108]) ).
fof(f1463,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f1462]) ).
fof(f1464,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f361,f121]) ).
fof(f1465,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f361,f119]) ).
fof(f1466,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f361,f117]) ).
fof(f1467,plain,
! [X0] :
( ~ sQ65_spl
| product(X0,e_1,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f361,f124]) ).
fof(f1471,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f357,f121]) ).
fof(f1472,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f357,f119]) ).
fof(f1473,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f357,f117]) ).
fof(f1474,plain,
! [X0] :
( ~ sQ64_spl
| product(X0,e_5,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f357,f124]) ).
fof(f1479,plain,
( ~ sQ63_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f354,f129]) ).
fof(f1480,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f354,f121]) ).
fof(f1481,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f354,f119]) ).
fof(f1482,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f354,f117]) ).
fof(f1483,plain,
! [X0] :
( ~ sQ63_spl
| product(X0,e_4,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f354,f124]) ).
fof(f1487,plain,
( ~ sQ62_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f351,f130]) ).
fof(f1488,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f351,f121]) ).
fof(f1489,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f351,f119]) ).
fof(f1490,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f351,f117]) ).
fof(f1491,plain,
! [X0] :
( ~ sQ62_spl
| product(X0,e_3,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f351,f124]) ).
fof(f1494,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f348,f121]) ).
fof(f1495,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f348,f119]) ).
fof(f1496,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f348,f117]) ).
fof(f1497,plain,
! [X0] :
( ~ sQ61_spl
| product(X0,e_2,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f348,f124]) ).
fof(f1501,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f345,f1496]) ).
fof(f1502,plain,
( ~ sQ65_spl
| ~ sQ60_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f345,f1465]) ).
fof(f1503,plain,
( ~ sQ35_spl
| ~ sQ60_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f345,f1306]) ).
fof(f1504,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f345,f121]) ).
fof(f1505,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f345,f119]) ).
fof(f1506,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f345,f117]) ).
fof(f1507,plain,
! [X0] :
( ~ sQ60_spl
| product(X0,e_1,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f345,f124]) ).
fof(f1508,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1501,f95]) ).
fof(f1509,plain,
( ~ sQ61_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1508]) ).
fof(f1510,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f341,f121]) ).
fof(f1511,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f341,f119]) ).
fof(f1512,plain,
( ~ sQ59_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f341,f127]) ).
fof(f1513,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_5)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f341,f117]) ).
fof(f1514,plain,
( ~ sQ59_spl
| product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f341,f125]) ).
fof(f1515,plain,
! [X0] :
( ~ sQ59_spl
| product(X0,e_5,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f341,f124]) ).
fof(f1516,plain,
( ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1512,f114]) ).
fof(f1517,plain,
~ sQ59_spl,
inference(contradiction_clause,[status(thm)],[f1516]) ).
fof(f1519,plain,
( ~ sQ32_spl
| ~ sQ57_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f335,f1324]) ).
fof(f1520,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f335,f121]) ).
fof(f1521,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f335,f119]) ).
fof(f1522,plain,
( ~ sQ57_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f335,f127]) ).
fof(f1523,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f335,f117]) ).
fof(f1524,plain,
( ~ sQ57_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f335,f125]) ).
fof(f1525,plain,
! [X0] :
( ~ sQ57_spl
| product(X0,e_3,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f335,f124]) ).
fof(f1529,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f332,f121]) ).
fof(f1530,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f332,f119]) ).
fof(f1531,plain,
( ~ sQ56_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f332,f127]) ).
fof(f1532,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f332,f117]) ).
fof(f1533,plain,
( ~ sQ56_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f332,f125]) ).
fof(f1534,plain,
! [X0] :
( ~ sQ56_spl
| product(X0,e_2,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f332,f124]) ).
fof(f1537,plain,
( ~ sQ65_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1502,f104]) ).
fof(f1538,plain,
( ~ sQ65_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1537]) ).
fof(f1539,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1479,f105]) ).
fof(f1540,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f1539]) ).
fof(f1541,plain,
( ~ sQ65_spl
| ~ sQ55_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f329,f1465]) ).
fof(f1542,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f329,f121]) ).
fof(f1543,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f329,f119]) ).
fof(f1544,plain,
( ~ sQ55_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f329,f127]) ).
fof(f1545,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f329,f117]) ).
fof(f1546,plain,
( ~ sQ55_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f329,f125]) ).
fof(f1547,plain,
! [X0] :
( ~ sQ55_spl
| product(X0,e_1,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f329,f124]) ).
fof(f1548,plain,
( ~ sQ65_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1541,f108]) ).
fof(f1549,plain,
( ~ sQ65_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1548]) ).
fof(f1553,plain,
( ~ sQ54_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f325,f130]) ).
fof(f1554,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f325,f121]) ).
fof(f1555,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f325,f119]) ).
fof(f1556,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f325,f117]) ).
fof(f1557,plain,
! [X0] :
( ~ sQ54_spl
| product(X0,e_5,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f325,f124]) ).
fof(f1559,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1553,f110]) ).
fof(f1560,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f1559]) ).
fof(f1561,plain,
( ~ sQ32_spl
| ~ sQ53_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f322,f1327]) ).
fof(f1562,plain,
( ~ sQ53_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f322,f129]) ).
fof(f1563,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f322,f121]) ).
fof(f1564,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f322,f119]) ).
fof(f1565,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f322,f117]) ).
fof(f1566,plain,
! [X0] :
( ~ sQ53_spl
| product(X0,e_4,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f322,f124]) ).
fof(f1567,plain,
( ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1562,f114]) ).
fof(f1568,plain,
~ sQ53_spl,
inference(contradiction_clause,[status(thm)],[f1567]) ).
fof(f1569,plain,
( ~ sQ32_spl
| ~ sQ52_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f319,f1327]) ).
fof(f1570,plain,
( ~ sQ72_spl
| ~ sQ52_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f319,f1397]) ).
fof(f1571,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f319,f121]) ).
fof(f1572,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f319,f119]) ).
fof(f1573,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f319,f117]) ).
fof(f1574,plain,
! [X0] :
( ~ sQ52_spl
| product(X0,e_3,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f319,f124]) ).
fof(f1575,plain,
( ~ sQ72_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1570,f111]) ).
fof(f1576,plain,
( ~ sQ72_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1575]) ).
fof(f1577,plain,
( ~ sQ32_spl
| ~ sQ51_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f316,f1327]) ).
fof(f1578,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f316,f121]) ).
fof(f1579,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f316,f119]) ).
fof(f1580,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f316,f117]) ).
fof(f1581,plain,
! [X0] :
( ~ sQ51_spl
| product(X0,e_2,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f316,f124]) ).
fof(f1582,plain,
( ~ sQ32_spl
| ~ sQ50_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f313,f1327]) ).
fof(f1583,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f313,f121]) ).
fof(f1584,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f313,f119]) ).
fof(f1585,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f313,f117]) ).
fof(f1586,plain,
! [X0] :
( ~ sQ50_spl
| product(X0,e_1,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f313,f124]) ).
fof(f1587,plain,
! [X0,X1] :
( ~ sQ99_spl
| equalish(e_5,X1)
| ~ next(e_3,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f474,f89]) ).
fof(f1588,plain,
( ~ sQ99_spl
| ~ greater(e_5,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f474,f87]) ).
fof(f1589,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f474,f121]) ).
fof(f1590,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f474,f119]) ).
fof(f1591,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f474,f117]) ).
fof(f1592,plain,
! [X0] :
( ~ sQ99_spl
| product(X0,e_5,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f474,f124]) ).
fof(f1593,definition,
! [X0] :
( sQ208_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1594,plain,
! [X0] :
( ~ sQ208_spl
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(component_clause,[status(thm)],[f1593]) ).
fof(f1596,definition,
! [X1] :
( sQ209_spl
<=> ( equalish(e_5,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1597,plain,
! [X0] :
( ~ sQ209_spl
| equalish(e_5,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f1596]) ).
fof(f1599,plain,
( ~ sQ99_spl
| sQ209_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1587,f1593,f1596,f473]) ).
fof(f1600,plain,
( ~ sQ99_spl
| ~ sQ186_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1588,f169,f945,f473]) ).
fof(f1601,plain,
! [X0,X1] :
( ~ sQ98_spl
| equalish(e_4,X1)
| ~ next(e_3,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f471,f89]) ).
fof(f1602,plain,
( ~ sQ98_spl
| ~ greater(e_4,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f471,f87]) ).
fof(f1603,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f471,f121]) ).
fof(f1604,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f471,f119]) ).
fof(f1605,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f471,f117]) ).
fof(f1606,plain,
! [X0] :
( ~ sQ98_spl
| product(X0,e_4,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f471,f124]) ).
fof(f1607,definition,
! [X1] :
( sQ210_spl
<=> ( equalish(e_4,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1608,plain,
! [X0] :
( ~ sQ210_spl
| equalish(e_4,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f1607]) ).
fof(f1610,plain,
( ~ sQ98_spl
| sQ210_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1601,f1593,f1607,f470]) ).
fof(f1611,definition,
( sQ211_spl
<=> greater(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1613,plain,
( sQ211_spl
| ~ greater(e_4,e_3) ),
inference(component_clause,[status(thm)],[f1611]) ).
fof(f1614,plain,
( ~ sQ98_spl
| ~ sQ211_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1602,f169,f1611,f470]) ).
fof(f1615,plain,
( sQ211_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1613,f76]) ).
fof(f1616,plain,
sQ211_spl,
inference(contradiction_clause,[status(thm)],[f1615]) ).
fof(f1620,plain,
( ~ sQ97_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f468,f129]) ).
fof(f1621,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f468,f121]) ).
fof(f1622,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f468,f119]) ).
fof(f1623,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f468,f117]) ).
fof(f1624,plain,
! [X0] :
( ~ sQ97_spl
| product(X0,e_3,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f468,f124]) ).
fof(f1627,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1577,f121]) ).
fof(f1630,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| product(X0,e_5,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1577,f124]) ).
fof(f1634,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ50_spl
| product(X0,e_5,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1582,f124]) ).
fof(f1635,plain,
( ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ51_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1627,f1582]) ).
fof(f1637,plain,
( ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1635,f95]) ).
fof(f1638,plain,
( ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1637]) ).
fof(f1639,plain,
( ~ sQ50_spl
| ~ sQ30_spl
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f1360,f313]) ).
fof(f1642,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1639,f121]) ).
fof(f1643,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1639,f119]) ).
fof(f1644,plain,
( ~ sQ50_spl
| ~ sQ30_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1639,f127]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ30_spl
| equalish(X0,e_5)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1639,f117]) ).
fof(f1646,plain,
( ~ sQ50_spl
| ~ sQ30_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f1639,f125]) ).
fof(f1647,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ30_spl
| product(X0,e_5,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1639,f124]) ).
fof(f1648,definition,
! [X1] :
( sQ212_spl
<=> ( equalish(e_5,X1)
| ~ next(e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1649,plain,
! [X0] :
( ~ sQ212_spl
| equalish(e_5,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f1648]) ).
fof(f1653,plain,
( ~ sQ50_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1644,f111]) ).
fof(f1654,plain,
( ~ sQ50_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1653]) ).
fof(f1660,plain,
( ~ sQ212_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1649,f60]) ).
fof(f1661,plain,
( ~ sQ212_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1660,f112]) ).
fof(f1662,plain,
~ sQ212_spl,
inference(contradiction_clause,[status(thm)],[f1661]) ).
fof(f1666,plain,
( ~ sQ50_spl
| ~ sQ65_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1465,f313]) ).
fof(f1667,plain,
( ~ sQ50_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1666,f112]) ).
fof(f1668,plain,
( ~ sQ50_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1667]) ).
fof(f1669,plain,
( ~ sQ47_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1264,f99]) ).
fof(f1670,plain,
( ~ sQ47_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1669]) ).
fof(f1671,plain,
( ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1443,f101]) ).
fof(f1672,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f1671]) ).
fof(f1684,plain,
( ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ96_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f465,f1634]) ).
fof(f1685,plain,
( ~ sQ46_spl
| ~ sQ96_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f465,f1220]) ).
fof(f1686,plain,
! [X0,X1] :
( ~ sQ96_spl
| equalish(e_2,X1)
| ~ next(e_3,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f465,f89]) ).
fof(f1687,plain,
( ~ sQ96_spl
| ~ greater(e_2,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f465,f87]) ).
fof(f1688,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f465,f121]) ).
fof(f1689,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f465,f119]) ).
fof(f1690,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f465,f117]) ).
fof(f1691,plain,
! [X0] :
( ~ sQ96_spl
| product(X0,e_2,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f465,f124]) ).
fof(f1692,plain,
( ~ sQ46_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1685,f106]) ).
fof(f1693,plain,
( ~ sQ46_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f1692]) ).
fof(f1694,plain,
( ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ95_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f462,f1634]) ).
fof(f1697,plain,
( ~ sQ95_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f462,f130]) ).
fof(f1698,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f462,f121]) ).
fof(f1699,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f462,f119]) ).
fof(f1700,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f462,f117]) ).
fof(f1701,plain,
! [X0] :
( ~ sQ95_spl
| product(X0,e_1,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f462,f124]) ).
fof(f1702,definition,
! [X1] :
( sQ213_spl
<=> ( equalish(e_1,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1703,plain,
! [X0] :
( ~ sQ213_spl
| equalish(e_1,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f1702]) ).
fof(f1706,definition,
( sQ214_spl
<=> greater(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1708,plain,
( sQ214_spl
| ~ greater(e_1,e_3) ),
inference(component_clause,[status(thm)],[f1706]) ).
fof(f1710,plain,
( ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1697,f103]) ).
fof(f1711,plain,
~ sQ95_spl,
inference(contradiction_clause,[status(thm)],[f1710]) ).
fof(f1712,definition,
! [X1] :
( sQ215_spl
<=> ( equalish(e_2,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1713,plain,
! [X0] :
( ~ sQ215_spl
| equalish(e_2,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f1712]) ).
fof(f1715,plain,
( ~ sQ96_spl
| sQ215_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1686,f1593,f1712,f464]) ).
fof(f1716,definition,
( sQ216_spl
<=> greater(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1718,plain,
( sQ216_spl
| ~ greater(e_2,e_3) ),
inference(component_clause,[status(thm)],[f1716]) ).
fof(f1719,plain,
( ~ sQ96_spl
| ~ sQ216_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1687,f169,f1716,f464]) ).
fof(f1720,plain,
( ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ96_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f1691,f1582]) ).
fof(f1721,plain,
( ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ96_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1720,f281,f464,f312,f249]) ).
fof(f1729,plain,
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ94_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f458,f1630]) ).
fof(f1730,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f458,f121]) ).
fof(f1731,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f458,f119]) ).
fof(f1732,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f458,f117]) ).
fof(f1733,plain,
! [X0] :
( ~ sQ94_spl
| product(X0,e_5,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f458,f124]) ).
fof(f1734,plain,
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ93_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f455,f1630]) ).
fof(f1735,plain,
( ~ sQ43_spl
| ~ sQ93_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f455,f1256]) ).
fof(f1736,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f455,f121]) ).
fof(f1737,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f455,f119]) ).
fof(f1738,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f455,f117]) ).
fof(f1739,plain,
! [X0] :
( ~ sQ93_spl
| product(X0,e_4,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f455,f124]) ).
fof(f1740,plain,
( ~ sQ43_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1735,f106]) ).
fof(f1741,plain,
( ~ sQ43_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f1740]) ).
fof(f1742,plain,
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ92_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f452,f1630]) ).
fof(f1743,plain,
( ~ sQ92_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f452,f129]) ).
fof(f1744,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f452,f121]) ).
fof(f1745,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f452,f119]) ).
fof(f1746,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f452,f117]) ).
fof(f1747,plain,
! [X0] :
( ~ sQ92_spl
| product(X0,e_3,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f452,f124]) ).
fof(f1748,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1743,f100]) ).
fof(f1749,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f1748]) ).
fof(f1750,plain,
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ91_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f449,f1630]) ).
fof(f1752,plain,
( ~ sQ91_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f449,f130]) ).
fof(f1753,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f449,f121]) ).
fof(f1754,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f449,f119]) ).
fof(f1755,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f449,f117]) ).
fof(f1756,plain,
! [X0] :
( ~ sQ91_spl
| product(X0,e_2,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f449,f124]) ).
fof(f1759,plain,
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ90_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f446,f1630]) ).
fof(f1760,plain,
( ~ sQ65_spl
| ~ sQ90_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f446,f1464]) ).
fof(f1761,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f446,f121]) ).
fof(f1762,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f446,f119]) ).
fof(f1763,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f446,f117]) ).
fof(f1764,plain,
! [X0] :
( ~ sQ90_spl
| product(X0,e_1,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f446,f124]) ).
fof(f1765,plain,
( ~ sQ65_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1760,f105]) ).
fof(f1766,plain,
( ~ sQ65_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f1765]) ).
fof(f1767,plain,
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ89_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f442,f1627]) ).
fof(f1768,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f442,f121]) ).
fof(f1769,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f442,f119]) ).
fof(f1770,plain,
( ~ sQ89_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f442,f127]) ).
fof(f1771,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_5)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f442,f117]) ).
fof(f1772,plain,
( ~ sQ89_spl
| product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f442,f125]) ).
fof(f1773,plain,
! [X0] :
( ~ sQ89_spl
| product(X0,e_5,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f442,f124]) ).
fof(f1774,plain,
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1767,f104]) ).
fof(f1775,plain,
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1774]) ).
fof(f1776,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f439,f121]) ).
fof(f1777,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f439,f119]) ).
fof(f1778,plain,
( ~ sQ88_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f439,f127]) ).
fof(f1779,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f439,f117]) ).
fof(f1780,plain,
( ~ sQ88_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f439,f125]) ).
fof(f1781,plain,
! [X0] :
( ~ sQ88_spl
| product(X0,e_4,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f439,f124]) ).
fof(f1782,plain,
( ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1778,f109]) ).
fof(f1783,plain,
~ sQ88_spl,
inference(contradiction_clause,[status(thm)],[f1782]) ).
fof(f1788,plain,
( ~ sQ36_spl
| ~ sQ86_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f433,f1302]) ).
fof(f1789,plain,
( ~ sQ61_spl
| ~ sQ86_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f433,f1494]) ).
fof(f1790,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f433,f121]) ).
fof(f1791,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f433,f119]) ).
fof(f1792,plain,
( ~ sQ86_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f433,f127]) ).
fof(f1793,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f433,f117]) ).
fof(f1794,plain,
( ~ sQ86_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f433,f125]) ).
fof(f1795,plain,
! [X0] :
( ~ sQ86_spl
| product(X0,e_2,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f433,f124]) ).
fof(f1798,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f430,f121]) ).
fof(f1799,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f430,f119]) ).
fof(f1800,plain,
( ~ sQ85_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f430,f127]) ).
fof(f1801,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f430,f117]) ).
fof(f1802,plain,
( ~ sQ85_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f430,f125]) ).
fof(f1803,plain,
! [X0] :
( ~ sQ85_spl
| product(X0,e_1,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f430,f124]) ).
fof(f1804,plain,
( ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1800,f96]) ).
fof(f1805,plain,
~ sQ85_spl,
inference(contradiction_clause,[status(thm)],[f1804]) ).
fof(f1806,plain,
( ~ sQ61_spl
| ~ sQ84_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f426,f1497]) ).
fof(f1807,plain,
( ~ sQ94_spl
| ~ sQ84_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f426,f1731]) ).
fof(f1808,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f426,f121]) ).
fof(f1809,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f426,f119]) ).
fof(f1810,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f426,f117]) ).
fof(f1811,plain,
! [X0] :
( ~ sQ84_spl
| product(X0,e_5,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f426,f124]) ).
fof(f1812,plain,
( ~ sQ94_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1807,f108]) ).
fof(f1813,plain,
( ~ sQ94_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f1812]) ).
fof(f1815,plain,
( ~ sQ83_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f423,f130]) ).
fof(f1816,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f423,f121]) ).
fof(f1817,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f423,f119]) ).
fof(f1818,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f423,f117]) ).
fof(f1819,plain,
! [X0] :
( ~ sQ83_spl
| product(X0,e_4,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f423,f124]) ).
fof(f1821,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1815,f105]) ).
fof(f1822,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f1821]) ).
fof(f1824,plain,
( ~ sQ82_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f420,f129]) ).
fof(f1825,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f420,f121]) ).
fof(f1826,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f420,f119]) ).
fof(f1827,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f420,f117]) ).
fof(f1828,plain,
! [X0] :
( ~ sQ82_spl
| product(X0,e_3,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f420,f124]) ).
fof(f1830,plain,
( ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1824,f109]) ).
fof(f1831,plain,
~ sQ82_spl,
inference(contradiction_clause,[status(thm)],[f1830]) ).
fof(f1832,plain,
( ~ sQ61_spl
| ~ sQ81_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f417,f1497]) ).
fof(f1833,plain,
( ~ sQ96_spl
| ~ sQ81_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f417,f1689]) ).
fof(f1834,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f417,f121]) ).
fof(f1835,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f417,f119]) ).
fof(f1836,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f417,f117]) ).
fof(f1837,plain,
! [X0] :
( ~ sQ81_spl
| product(X0,e_2,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f417,f124]) ).
fof(f1838,plain,
( ~ sQ96_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1833,f107]) ).
fof(f1839,plain,
( ~ sQ96_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f1838]) ).
fof(f1840,plain,
( ~ sQ61_spl
| ~ sQ80_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f414,f1497]) ).
fof(f1841,plain,
( ~ sQ90_spl
| ~ sQ80_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f414,f1762]) ).
fof(f1842,plain,
( ~ sQ30_spl
| ~ sQ80_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f414,f1357]) ).
fof(f1843,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f414,f121]) ).
fof(f1844,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f414,f119]) ).
fof(f1845,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f414,f117]) ).
fof(f1846,plain,
! [X0] :
( ~ sQ80_spl
| product(X0,e_1,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f414,f124]) ).
fof(f1847,plain,
( ~ sQ90_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1841,f108]) ).
fof(f1848,plain,
( ~ sQ90_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f1847]) ).
fof(f1849,plain,
( ~ sQ30_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1842,f106]) ).
fof(f1850,plain,
( ~ sQ30_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f1849]) ).
fof(f1851,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1840,f121]) ).
fof(f1852,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1840,f119]) ).
fof(f1853,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1840,f117]) ).
fof(f1854,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| product(X0,e_4,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1840,f124]) ).
fof(f1860,plain,
( ~ sQ51_spl
| ~ sQ32_spl
| ~ sQ94_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1729,f1578]) ).
fof(f1861,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1729,f121]) ).
fof(f1862,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1729,f119]) ).
fof(f1863,plain,
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ94_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1729,f127]) ).
fof(f1864,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f1729,f117]) ).
fof(f1865,plain,
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ94_spl
| product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f1729,f125]) ).
fof(f1866,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ94_spl
| product(X0,e_2,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f1729,f124]) ).
fof(f1869,plain,
( ~ sQ51_spl
| ~ sQ32_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1860,f114]) ).
fof(f1870,plain,
( ~ sQ51_spl
| ~ sQ32_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f1869]) ).
fof(f1872,plain,
( ~ sQ61_spl
| ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ93_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1734,f1495]) ).
fof(f1879,plain,
( ~ sQ61_spl
| ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1872,f113]) ).
fof(f1880,plain,
( ~ sQ61_spl
| ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f1879]) ).
fof(f1885,plain,
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ93_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f1739,f1577]) ).
fof(f1886,plain,
( ~ sQ51_spl
| ~ sQ32_spl
| ~ sQ93_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f1885,f1581]) ).
fof(f1889,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ93_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1885,f117]) ).
fof(f1892,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ32_spl
| ~ sQ93_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1886,f121]) ).
fof(f1893,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ32_spl
| ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1886,f119]) ).
fof(f1894,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ32_spl
| ~ sQ93_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1886,f117]) ).
fof(f1898,plain,
( ~ sQ80_spl
| ~ sQ60_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f1507,f414]) ).
fof(f1901,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1898,f121]) ).
fof(f1902,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1898,f119]) ).
fof(f1903,plain,
( ~ sQ80_spl
| ~ sQ60_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1898,f127]) ).
fof(f1904,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ60_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1898,f117]) ).
fof(f1905,plain,
( ~ sQ80_spl
| ~ sQ60_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f1898,f125]) ).
fof(f1906,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ60_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1898,f124]) ).
fof(f1907,definition,
! [X1] :
( sQ217_spl
<=> ( equalish(e_4,X1)
| ~ next(e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1908,plain,
! [X0] :
( ~ sQ217_spl
| equalish(e_4,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f1907]) ).
fof(f1911,definition,
( sQ218_spl
<=> greater(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1913,plain,
( sQ218_spl
| ~ greater(e_4,e_1) ),
inference(component_clause,[status(thm)],[f1911]) ).
fof(f1915,plain,
( ~ sQ80_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1903,f107]) ).
fof(f1916,plain,
( ~ sQ80_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1915]) ).
fof(f1917,plain,
( sQ218_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1913,f71]) ).
fof(f1918,plain,
sQ218_spl,
inference(contradiction_clause,[status(thm)],[f1917]) ).
fof(f1924,plain,
( ~ sQ217_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1908,f60]) ).
fof(f1925,plain,
( ~ sQ217_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1924,f108]) ).
fof(f1926,plain,
~ sQ217_spl,
inference(contradiction_clause,[status(thm)],[f1925]) ).
fof(f1933,plain,
( ~ sQ79_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f410,f130]) ).
fof(f1934,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f410,f121]) ).
fof(f1935,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f410,f119]) ).
fof(f1936,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f410,f117]) ).
fof(f1937,plain,
! [X0] :
( ~ sQ79_spl
| product(X0,e_5,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f410,f124]) ).
fof(f1939,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1933,f106]) ).
fof(f1940,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f1939]) ).
fof(f1941,plain,
( ~ sQ36_spl
| ~ sQ78_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f407,f1305]) ).
fof(f1942,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f407,f121]) ).
fof(f1943,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f407,f119]) ).
fof(f1944,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f407,f117]) ).
fof(f1945,plain,
! [X0] :
( ~ sQ78_spl
| product(X0,e_4,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f407,f124]) ).
fof(f1946,plain,
( ~ sQ36_spl
| ~ sQ77_spl
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f404,f1305]) ).
fof(f1947,plain,
( ~ sQ77_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f404,f129]) ).
fof(f1948,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f404,f121]) ).
fof(f1949,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f404,f119]) ).
fof(f1950,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f404,f117]) ).
fof(f1951,plain,
! [X0] :
( ~ sQ77_spl
| product(X0,e_3,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f404,f124]) ).
fof(f1952,plain,
( ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1947,f113]) ).
fof(f1953,plain,
~ sQ77_spl,
inference(contradiction_clause,[status(thm)],[f1952]) ).
fof(f1954,plain,
( ~ sQ36_spl
| ~ sQ76_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f401,f1305]) ).
fof(f1955,plain,
( ~ sQ96_spl
| ~ sQ76_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f401,f1689]) ).
fof(f1956,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f401,f121]) ).
fof(f1957,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f401,f119]) ).
fof(f1958,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_2)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f401,f117]) ).
fof(f1959,plain,
! [X0] :
( ~ sQ76_spl
| product(X0,e_2,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f401,f124]) ).
fof(f1960,plain,
( ~ sQ96_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1955,f111]) ).
fof(f1961,plain,
( ~ sQ96_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f1960]) ).
fof(f1962,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f398,f1305]) ).
fof(f1963,plain,
( ~ sQ80_spl
| ~ sQ75_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f398,f1844]) ).
fof(f1964,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f398,f121]) ).
fof(f1965,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f398,f119]) ).
fof(f1966,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f398,f117]) ).
fof(f1967,plain,
! [X0] :
( ~ sQ75_spl
| product(X0,e_1,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f398,f124]) ).
fof(f1968,plain,
( ~ sQ80_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1963,f114]) ).
fof(f1969,plain,
( ~ sQ80_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f1968]) ).
fof(f1970,plain,
! [X0,X1] :
( ~ sQ124_spl
| equalish(e_5,X1)
| ~ next(e_2,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f559,f89]) ).
fof(f1971,plain,
( ~ sQ124_spl
| ~ greater(e_5,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f559,f87]) ).
fof(f1972,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f559,f121]) ).
fof(f1973,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f559,f119]) ).
fof(f1974,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f559,f117]) ).
fof(f1975,plain,
! [X0] :
( ~ sQ124_spl
| product(X0,e_5,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f559,f124]) ).
fof(f1976,definition,
! [X0] :
( sQ219_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1977,plain,
! [X0] :
( ~ sQ219_spl
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(component_clause,[status(thm)],[f1976]) ).
fof(f1979,definition,
! [X1] :
( sQ220_spl
<=> ( equalish(e_5,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1980,plain,
! [X0] :
( ~ sQ220_spl
| equalish(e_5,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f1979]) ).
fof(f1982,plain,
( ~ sQ124_spl
| sQ220_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f1970,f1976,f1979,f558]) ).
fof(f1983,plain,
( ~ sQ124_spl
| ~ sQ187_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1971,f185,f949,f558]) ).
fof(f1984,plain,
! [X0,X1] :
( ~ sQ123_spl
| equalish(e_4,X1)
| ~ next(e_2,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f556,f89]) ).
fof(f1985,plain,
( ~ sQ123_spl
| ~ greater(e_4,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f556,f87]) ).
fof(f1986,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f556,f121]) ).
fof(f1987,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f556,f119]) ).
fof(f1988,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f556,f117]) ).
fof(f1989,plain,
! [X0] :
( ~ sQ123_spl
| product(X0,e_4,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f556,f124]) ).
fof(f1990,definition,
! [X1] :
( sQ221_spl
<=> ( equalish(e_4,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1991,plain,
! [X0] :
( ~ sQ221_spl
| equalish(e_4,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f1990]) ).
fof(f1993,plain,
( ~ sQ123_spl
| sQ221_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f1984,f1976,f1990,f555]) ).
fof(f1994,definition,
( sQ222_spl
<=> greater(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1996,plain,
( sQ222_spl
| ~ greater(e_4,e_2) ),
inference(component_clause,[status(thm)],[f1994]) ).
fof(f1997,plain,
( ~ sQ123_spl
| ~ sQ222_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1985,f185,f1994,f555]) ).
fof(f1998,plain,
( sQ222_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1996,f74]) ).
fof(f1999,plain,
sQ222_spl,
inference(contradiction_clause,[status(thm)],[f1998]) ).
fof(f2000,plain,
( ~ sQ72_spl
| ~ sQ122_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f553,f1396]) ).
fof(f2001,plain,
! [X0,X1] :
( ~ sQ122_spl
| equalish(e_3,X1)
| ~ next(e_2,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f553,f89]) ).
fof(f2002,plain,
( ~ sQ122_spl
| ~ greater(e_3,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f553,f87]) ).
fof(f2003,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f553,f121]) ).
fof(f2004,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f553,f119]) ).
fof(f2005,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f553,f117]) ).
fof(f2006,plain,
! [X0] :
( ~ sQ122_spl
| product(X0,e_3,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f553,f124]) ).
fof(f2007,plain,
( ~ sQ72_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2000,f101]) ).
fof(f2008,plain,
( ~ sQ72_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f2007]) ).
fof(f2012,plain,
( ~ sQ121_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f550,f129]) ).
fof(f2013,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f550,f121]) ).
fof(f2014,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f550,f119]) ).
fof(f2015,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f550,f117]) ).
fof(f2016,plain,
! [X0] :
( ~ sQ121_spl
| product(X0,e_2,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f550,f124]) ).
fof(f2019,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1941,f121]) ).
fof(f2020,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ78_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1941,f119]) ).
fof(f2021,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ78_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1941,f117]) ).
fof(f2022,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ78_spl
| product(X0,e_5,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1941,f124]) ).
fof(f2027,plain,
( ~ sQ36_spl
| ~ sQ78_spl
| ~ sQ94_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1730,f1941]) ).
fof(f2028,plain,
( ~ sQ36_spl
| ~ sQ78_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2027,f109]) ).
fof(f2029,plain,
( ~ sQ36_spl
| ~ sQ78_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f2028]) ).
fof(f2030,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1962,f121]) ).
fof(f2031,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1962,f119]) ).
fof(f2032,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1962,f117]) ).
fof(f2033,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| product(X0,e_5,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1962,f124]) ).
fof(f2044,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ69_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1434,f1962]) ).
fof(f2045,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2044,f97]) ).
fof(f2046,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f2045]) ).
fof(f2047,plain,
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1577,f1764]) ).
fof(f2051,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| product(X0,e_5,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1577,f124]) ).
fof(f2061,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2047,f121]) ).
fof(f2062,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2047,f119]) ).
fof(f2063,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl
| equalish(X0,e_3)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2047,f117]) ).
fof(f2064,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl
| product(X0,e_3,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f2047,f124]) ).
fof(f2069,plain,
( ~ sQ120_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f547,f130]) ).
fof(f2070,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f547,f121]) ).
fof(f2071,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f547,f119]) ).
fof(f2072,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f547,f117]) ).
fof(f2073,plain,
! [X0] :
( ~ sQ120_spl
| product(X0,e_1,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f547,f124]) ).
fof(f2074,definition,
! [X1] :
( sQ223_spl
<=> ( equalish(e_1,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f2075,plain,
! [X0] :
( ~ sQ223_spl
| equalish(e_1,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f2074]) ).
fof(f2078,definition,
( sQ224_spl
<=> greater(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2080,plain,
( sQ224_spl
| ~ greater(e_1,e_2) ),
inference(component_clause,[status(thm)],[f2078]) ).
fof(f2082,plain,
( ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2069,f99]) ).
fof(f2083,plain,
~ sQ120_spl,
inference(contradiction_clause,[status(thm)],[f2082]) ).
fof(f2086,definition,
! [X1] :
( sQ225_spl
<=> ( equalish(e_2,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f2087,plain,
! [X0] :
( ~ sQ225_spl
| equalish(e_2,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f2086]) ).
fof(f2089,plain,
( ~ sQ71_spl
| sQ225_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1409,f1369,f2086,f379]) ).
fof(f2090,definition,
( sQ226_spl
<=> greater(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f2092,plain,
( sQ226_spl
| ~ greater(e_2,e_4) ),
inference(component_clause,[status(thm)],[f2090]) ).
fof(f2093,plain,
( ~ sQ71_spl
| ~ sQ226_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1410,f153,f2090,f379]) ).
fof(f2094,definition,
! [X1] :
( sQ227_spl
<=> ( equalish(e_3,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f2095,plain,
! [X0] :
( ~ sQ227_spl
| equalish(e_3,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f2094]) ).
fof(f2097,plain,
( ~ sQ122_spl
| sQ227_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f2001,f1976,f2094,f552]) ).
fof(f2098,definition,
( sQ228_spl
<=> greater(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f2100,plain,
( sQ228_spl
| ~ greater(e_3,e_2) ),
inference(component_clause,[status(thm)],[f2098]) ).
fof(f2101,plain,
( ~ sQ122_spl
| ~ sQ228_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2002,f185,f2098,f552]) ).
fof(f2102,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1487,f109]) ).
fof(f2103,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f2102]) ).
fof(f2104,plain,
( sQ228_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2100,f73]) ).
fof(f2105,plain,
sQ228_spl,
inference(contradiction_clause,[status(thm)],[f2104]) ).
fof(f2106,definition,
! [X1] :
( sQ229_spl
<=> ( equalish(e_2,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2107,plain,
! [X0] :
( ~ sQ229_spl
| equalish(e_2,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f2106]) ).
fof(f2110,definition,
( sQ230_spl
<=> greater(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2112,plain,
( sQ230_spl
| ~ greater(e_2,e_2) ),
inference(component_clause,[status(thm)],[f2110]) ).
fof(f2114,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2012,f95]) ).
fof(f2115,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f2114]) ).
fof(f2116,definition,
! [X1] :
( sQ231_spl
<=> ( equalish(e_3,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2117,plain,
! [X0] :
( ~ sQ231_spl
| equalish(e_3,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f2116]) ).
fof(f2120,definition,
( sQ232_spl
<=> greater(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2122,plain,
( sQ232_spl
| ~ greater(e_3,e_3) ),
inference(component_clause,[status(thm)],[f2120]) ).
fof(f2124,plain,
( ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1620,f96]) ).
fof(f2125,plain,
~ sQ97_spl,
inference(contradiction_clause,[status(thm)],[f2124]) ).
fof(f2129,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ50_spl
| product(X0,e_5,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1582,f124]) ).
fof(f2130,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ81_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1832,f121]) ).
fof(f2131,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ81_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1832,f119]) ).
fof(f2132,plain,
( ~ sQ61_spl
| ~ sQ81_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1832,f127]) ).
fof(f2133,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ81_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1832,f117]) ).
fof(f2134,plain,
( ~ sQ61_spl
| ~ sQ81_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f1832,f125]) ).
fof(f2135,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ81_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1832,f124]) ).
fof(f2136,plain,
( ~ sQ61_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2132,f108]) ).
fof(f2137,plain,
( ~ sQ61_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f2136]) ).
fof(f2138,plain,
( ~ sQ35_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1503,f110]) ).
fof(f2139,plain,
( ~ sQ35_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2138]) ).
fof(f2150,plain,
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ123_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f1989,f1840]) ).
fof(f2151,plain,
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ123_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f2150,f331,f555,f413,f347]) ).
fof(f2152,plain,
( ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ99_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f1592,f1582]) ).
fof(f2154,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2152,f121]) ).
fof(f2155,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2152,f119]) ).
fof(f2156,plain,
( ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ99_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f2152,f127]) ).
fof(f2157,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ99_spl
| equalish(X0,e_3)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f2152,f117]) ).
fof(f2158,plain,
( ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ99_spl
| product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f2152,f125]) ).
fof(f2159,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ99_spl
| product(X0,e_3,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f2152,f124]) ).
fof(f2162,plain,
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ122_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f2006,f1840]) ).
fof(f2163,plain,
( ~ sQ80_spl
| ~ sQ61_spl
| ~ sQ122_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f2162,f1846]) ).
fof(f2164,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ122_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2162,f121]) ).
fof(f2165,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ122_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2162,f119]) ).
fof(f2166,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ122_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2162,f117]) ).
fof(f2168,plain,
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ122_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f2163,f1854]) ).
fof(f2169,plain,
( ~ sQ47_spl
| ~ sQ80_spl
| ~ sQ61_spl
| ~ sQ122_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2163,f1204]) ).
fof(f2172,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ61_spl
| ~ sQ122_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2163,f121]) ).
fof(f2173,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ61_spl
| ~ sQ122_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2163,f119]) ).
fof(f2174,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ61_spl
| ~ sQ122_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2163,f117]) ).
fof(f2175,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ61_spl
| ~ sQ122_spl
| product(X0,e_3,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2163,f124]) ).
fof(f2176,plain,
( ~ sQ47_spl
| ~ sQ80_spl
| ~ sQ61_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2169,f102]) ).
fof(f2177,plain,
( ~ sQ47_spl
| ~ sQ80_spl
| ~ sQ61_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f2176]) ).
fof(f2178,plain,
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ124_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1975,f1840]) ).
fof(f2179,plain,
( ~ sQ31_spl
| ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ124_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f2178,f1331]) ).
fof(f2180,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ124_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2178,f121]) ).
fof(f2181,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2178,f119]) ).
fof(f2182,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ124_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2178,f117]) ).
fof(f2183,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ124_spl
| product(X0,e_2,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2178,f124]) ).
fof(f2185,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ124_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f2179,f121]) ).
fof(f2186,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ124_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2179,f119]) ).
fof(f2187,plain,
( ~ sQ31_spl
| ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ124_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2179,f127]) ).
fof(f2188,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f2179,f117]) ).
fof(f2189,plain,
( ~ sQ31_spl
| ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ124_spl
| product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f2179,f125]) ).
fof(f2190,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ124_spl
| product(X0,e_5,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f2179,f124]) ).
fof(f2193,plain,
( ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1531,f101]) ).
fof(f2194,plain,
~ sQ56_spl,
inference(contradiction_clause,[status(thm)],[f2193]) ).
fof(f2195,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ76_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1954,f121]) ).
fof(f2196,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ76_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1954,f119]) ).
fof(f2197,plain,
( ~ sQ36_spl
| ~ sQ76_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1954,f127]) ).
fof(f2198,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ76_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1954,f117]) ).
fof(f2199,plain,
( ~ sQ36_spl
| ~ sQ76_spl
| product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f1954,f125]) ).
fof(f2200,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ76_spl
| product(X0,e_5,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1954,f124]) ).
fof(f2201,plain,
( ~ sQ36_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2197,f112]) ).
fof(f2202,plain,
( ~ sQ36_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f2201]) ).
fof(f2203,plain,
( ~ sQ31_spl
| ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2187,f112]) ).
fof(f2204,plain,
( ~ sQ31_spl
| ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f2203]) ).
fof(f2208,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| product(X0,e_4,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1840,f124]) ).
fof(f2212,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ124_spl
| product(X0,e_2,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2178,f124]) ).
fof(f2226,plain,
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ124_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1975,f1840]) ).
fof(f2227,plain,
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ124_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f2226,f315,f558,f413,f347]) ).
fof(f2228,plain,
( ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1752,f104]) ).
fof(f2229,plain,
~ sQ91_spl,
inference(contradiction_clause,[status(thm)],[f2228]) ).
fof(f2230,plain,
( ~ sQ122_spl
| ~ sQ36_spl
| ~ sQ75_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f1962,f2006]) ).
fof(f2235,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ36_spl
| ~ sQ75_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2230,f121]) ).
fof(f2236,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ36_spl
| ~ sQ75_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f2230,f119]) ).
fof(f2237,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ36_spl
| ~ sQ75_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f2230,f117]) ).
fof(f2239,plain,
( ~ sQ122_spl
| ~ sQ36_spl
| ~ sQ75_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f1967,f2230]) ).
fof(f2240,plain,
( ~ sQ47_spl
| ~ sQ122_spl
| ~ sQ36_spl
| ~ sQ75_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2239,f1204]) ).
fof(f2247,plain,
( ~ sQ47_spl
| ~ sQ122_spl
| ~ sQ36_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2240,f102]) ).
fof(f2248,plain,
( ~ sQ47_spl
| ~ sQ122_spl
| ~ sQ36_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f2247]) ).
fof(f2251,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f86]) ).
fof(f2252,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f84]) ).
fof(f2253,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f195,f80]) ).
fof(f2258,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f179,f86]) ).
fof(f2259,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f179,f84]) ).
fof(f2260,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f179,f80]) ).
fof(f2265,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| ~ greater(X1,e_4)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f166,f86]) ).
fof(f2266,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(X1,X2)
| ~ next(e_4,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f166,f84]) ).
fof(f2267,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f166,f80]) ).
fof(f2270,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f543,f121]) ).
fof(f2271,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f543,f119]) ).
fof(f2272,plain,
( ~ sQ119_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f543,f127]) ).
fof(f2273,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f543,f117]) ).
fof(f2274,plain,
( ~ sQ119_spl
| product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f543,f125]) ).
fof(f2275,plain,
! [X0] :
( ~ sQ119_spl
| product(X0,e_5,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f543,f124]) ).
fof(f2276,plain,
( ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2272,f112]) ).
fof(f2277,plain,
~ sQ119_spl,
inference(contradiction_clause,[status(thm)],[f2276]) ).
fof(f2279,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f540,f121]) ).
fof(f2280,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f540,f119]) ).
fof(f2281,plain,
( ~ sQ118_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f540,f127]) ).
fof(f2282,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f540,f117]) ).
fof(f2283,plain,
( ~ sQ118_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f540,f125]) ).
fof(f2284,plain,
! [X0] :
( ~ sQ118_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f540,f124]) ).
fof(f2287,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f537,f121]) ).
fof(f2288,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f537,f119]) ).
fof(f2289,plain,
( ~ sQ117_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f537,f127]) ).
fof(f2290,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f537,f117]) ).
fof(f2291,plain,
( ~ sQ117_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f537,f125]) ).
fof(f2292,plain,
! [X0] :
( ~ sQ117_spl
| product(X0,e_3,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f537,f124]) ).
fof(f2293,plain,
( ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2289,f104]) ).
fof(f2294,plain,
~ sQ117_spl,
inference(contradiction_clause,[status(thm)],[f2293]) ).
fof(f2298,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ124_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f1975,f1962]) ).
fof(f2299,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2298,f121]) ).
fof(f2300,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f2298,f119]) ).
fof(f2301,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ124_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2298,f127]) ).
fof(f2302,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ124_spl
| equalish(X0,e_2)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f2298,f117]) ).
fof(f2303,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ124_spl
| product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f2298,f125]) ).
fof(f2304,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ124_spl
| product(X0,e_2,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f2298,f124]) ).
fof(f2305,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2301,f102]) ).
fof(f2306,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f2305]) ).
fof(f2307,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1989,f1962]) ).
fof(f2309,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2307,f121]) ).
fof(f2310,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f2307,f119]) ).
fof(f2311,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2307,f117]) ).
fof(f2312,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| product(X0,e_2,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2307,f124]) ).
fof(f2314,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ32_spl
| ~ sQ50_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1582,f2031]) ).
fof(f2316,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ50_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1582,f119]) ).
fof(f2317,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ50_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1582,f117]) ).
fof(f2319,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ32_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2314,f104]) ).
fof(f2320,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ32_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f2319]) ).
fof(f2324,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| ~ sQ50_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f1586,f2307]) ).
fof(f2325,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| ~ sQ50_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f2324,f2033]) ).
fof(f2335,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2325,f121]) ).
fof(f2336,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| ~ sQ50_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2325,f119]) ).
fof(f2337,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2325,f117]) ).
fof(f2348,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| ~ sQ52_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1574,f2307]) ).
fof(f2350,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| ~ sQ52_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2348,f121]) ).
fof(f2351,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2348,f119]) ).
fof(f2352,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| ~ sQ52_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2348,f117]) ).
fof(f2353,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| ~ sQ52_spl
| product(X0,e_4,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2348,f124]) ).
fof(f2358,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ78_spl
| product(X0,e_5,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1941,f124]) ).
fof(f2363,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f531,f121]) ).
fof(f2364,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f531,f119]) ).
fof(f2365,plain,
( ~ sQ115_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f531,f127]) ).
fof(f2366,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f531,f117]) ).
fof(f2367,plain,
( ~ sQ115_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f531,f125]) ).
fof(f2368,plain,
! [X0] :
( ~ sQ115_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f531,f124]) ).
fof(f2371,plain,
( ~ sQ90_spl
| ~ sQ114_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f527,f1764]) ).
fof(f2372,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f527,f121]) ).
fof(f2373,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f527,f119]) ).
fof(f2374,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f527,f117]) ).
fof(f2375,plain,
! [X0] :
( ~ sQ114_spl
| product(X0,e_5,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f527,f124]) ).
fof(f2379,plain,
! [X0,X1] :
( ~ sQ90_spl
| ~ sQ114_spl
| equalish(e_3,X1)
| ~ next(e_5,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f2371,f89]) ).
fof(f2380,plain,
( ~ sQ90_spl
| ~ sQ114_spl
| ~ greater(e_3,e_5)
| ~ cycle(e_5,e_0) ),
inference(resolution,[status(thm)],[f2371,f87]) ).
fof(f2381,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ114_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2371,f121]) ).
fof(f2382,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ114_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2371,f119]) ).
fof(f2383,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ114_spl
| equalish(X0,e_3)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2371,f117]) ).
fof(f2384,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ114_spl
| product(X0,e_3,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f2371,f124]) ).
fof(f2385,plain,
( ~ sQ90_spl
| ~ sQ114_spl
| sQ194_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f2379,f1158,f1208,f526,f445]) ).
fof(f2386,plain,
( ~ sQ90_spl
| ~ sQ114_spl
| ~ sQ195_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2380,f137,f1212,f526,f445]) ).
fof(f2387,plain,
( ~ sQ90_spl
| ~ sQ113_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f524,f1764]) ).
fof(f2388,plain,
( ~ sQ123_spl
| ~ sQ113_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f524,f1987]) ).
fof(f2389,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f524,f121]) ).
fof(f2390,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f524,f119]) ).
fof(f2391,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f524,f117]) ).
fof(f2392,plain,
! [X0] :
( ~ sQ113_spl
| product(X0,e_4,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f524,f124]) ).
fof(f2393,plain,
( ~ sQ90_spl
| ~ sQ113_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f2387,f382,f523,f445]) ).
fof(f2394,plain,
( ~ sQ123_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2388,f103]) ).
fof(f2395,plain,
( ~ sQ123_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f2394]) ).
fof(f2397,plain,
( ~ sQ112_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f521,f130]) ).
fof(f2398,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f521,f121]) ).
fof(f2399,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f521,f119]) ).
fof(f2400,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f521,f117]) ).
fof(f2401,plain,
! [X0] :
( ~ sQ112_spl
| product(X0,e_3,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f521,f124]) ).
fof(f2403,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2397,f100]) ).
fof(f2404,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f2403]) ).
fof(f2406,plain,
( ~ sQ111_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f518,f129]) ).
fof(f2407,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f518,f121]) ).
fof(f2408,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f518,f119]) ).
fof(f2409,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f518,f117]) ).
fof(f2410,plain,
! [X0] :
( ~ sQ111_spl
| product(X0,e_2,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f518,f124]) ).
fof(f2412,plain,
( ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2406,f104]) ).
fof(f2413,plain,
~ sQ111_spl,
inference(contradiction_clause,[status(thm)],[f2412]) ).
fof(f2414,plain,
( ~ sQ90_spl
| ~ sQ110_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f515,f1764]) ).
fof(f2415,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f515,f121]) ).
fof(f2416,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f515,f119]) ).
fof(f2417,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f515,f117]) ).
fof(f2418,plain,
! [X0] :
( ~ sQ110_spl
| product(X0,e_1,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f515,f124]) ).
fof(f2419,plain,
( ~ sQ69_spl
| ~ sQ109_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f511,f1437]) ).
fof(f2420,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f511,f121]) ).
fof(f2421,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f511,f119]) ).
fof(f2422,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f511,f117]) ).
fof(f2423,plain,
! [X0] :
( ~ sQ109_spl
| product(X0,e_5,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f511,f124]) ).
fof(f2425,plain,
( ~ sQ108_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f508,f130]) ).
fof(f2426,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f508,f121]) ).
fof(f2427,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f508,f119]) ).
fof(f2428,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f508,f117]) ).
fof(f2429,plain,
! [X0] :
( ~ sQ108_spl
| product(X0,e_4,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f508,f124]) ).
fof(f2431,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2425,f101]) ).
fof(f2432,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f2431]) ).
fof(f2433,plain,
( ~ sQ69_spl
| ~ sQ107_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f505,f1437]) ).
fof(f2434,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f505,f121]) ).
fof(f2435,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f505,f119]) ).
fof(f2436,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f505,f117]) ).
fof(f2437,plain,
! [X0] :
( ~ sQ107_spl
| product(X0,e_3,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f505,f124]) ).
fof(f2438,plain,
( ~ sQ69_spl
| ~ sQ106_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f502,f1437]) ).
fof(f2439,plain,
( ~ sQ106_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f502,f129]) ).
fof(f2440,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f502,f121]) ).
fof(f2441,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f502,f119]) ).
fof(f2442,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f502,f117]) ).
fof(f2443,plain,
! [X0] :
( ~ sQ106_spl
| product(X0,e_2,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f502,f124]) ).
fof(f2444,plain,
( ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2439,f108]) ).
fof(f2445,plain,
~ sQ106_spl,
inference(contradiction_clause,[status(thm)],[f2444]) ).
fof(f2446,plain,
( ~ sQ69_spl
| ~ sQ105_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f499,f1437]) ).
fof(f2447,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f499,f121]) ).
fof(f2448,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f499,f119]) ).
fof(f2449,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f499,f117]) ).
fof(f2450,plain,
! [X0] :
( ~ sQ105_spl
| product(X0,e_1,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f499,f124]) ).
fof(f2452,plain,
( ~ sQ104_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f495,f130]) ).
fof(f2453,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f495,f121]) ).
fof(f2454,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f495,f119]) ).
fof(f2455,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f495,f117]) ).
fof(f2456,plain,
! [X0] :
( ~ sQ104_spl
| product(X0,e_5,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f495,f124]) ).
fof(f2458,plain,
( ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2452,f102]) ).
fof(f2459,plain,
~ sQ104_spl,
inference(contradiction_clause,[status(thm)],[f2458]) ).
fof(f2463,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ84_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1806,f121]) ).
fof(f2464,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ84_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1806,f119]) ).
fof(f2465,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ84_spl
| equalish(X0,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1806,f117]) ).
fof(f2466,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ84_spl
| product(X0,e_4,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1806,f124]) ).
fof(f2470,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2414,f121]) ).
fof(f2471,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2414,f119]) ).
fof(f2472,plain,
( ~ sQ90_spl
| ~ sQ110_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2414,f127]) ).
fof(f2473,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ110_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f2414,f117]) ).
fof(f2474,plain,
( ~ sQ90_spl
| ~ sQ110_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f2414,f125]) ).
fof(f2475,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ110_spl
| product(X0,e_3,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f2414,f124]) ).
fof(f2479,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2419,f121]) ).
fof(f2480,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f2419,f119]) ).
fof(f2481,plain,
( ~ sQ69_spl
| ~ sQ109_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f2419,f127]) ).
fof(f2482,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ109_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f2419,f117]) ).
fof(f2483,plain,
( ~ sQ69_spl
| ~ sQ109_spl
| product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f2419,f125]) ).
fof(f2484,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ109_spl
| product(X0,e_4,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f2419,f124]) ).
fof(f2487,plain,
( sQ43_spl
| ~ sQ61_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f286,f1806]) ).
fof(f2488,plain,
( sQ43_spl
| ~ sQ61_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f2487]) ).
fof(f2489,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ107_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2433,f121]) ).
fof(f2490,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ107_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2433,f119]) ).
fof(f2491,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ107_spl
| equalish(X0,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2433,f117]) ).
fof(f2492,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ107_spl
| product(X0,e_4,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f2433,f124]) ).
fof(f2493,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2446,f121]) ).
fof(f2494,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ105_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2446,f119]) ).
fof(f2495,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ105_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f2446,f117]) ).
fof(f2496,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ105_spl
| product(X0,e_4,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2446,f124]) ).
fof(f2500,plain,
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ107_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2489,f2446]) ).
fof(f2502,plain,
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2500,f96]) ).
fof(f2503,plain,
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f2502]) ).
fof(f2507,plain,
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ47_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f1207,f2446]) ).
fof(f2508,plain,
( ~ sQ84_spl
| ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ47_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f2507,f1811]) ).
fof(f2509,plain,
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ47_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2507,f1435]) ).
fof(f2510,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2507,f121]) ).
fof(f2511,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2507,f119]) ).
fof(f2512,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ47_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2507,f117]) ).
fof(f2513,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ47_spl
| product(X0,e_5,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2507,f124]) ).
fof(f2514,plain,
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2509,f104]) ).
fof(f2515,plain,
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f2514]) ).
fof(f2516,plain,
( ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2156,f106]) ).
fof(f2517,plain,
( ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f2516]) ).
fof(f2518,plain,
( ~ sQ90_spl
| ~ sQ114_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f2371,f297,f526,f445]) ).
fof(f2520,plain,
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ48_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f1193,f2446]) ).
fof(f2521,plain,
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ48_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f2520,f340,f300,f498,f372]) ).
fof(f2522,definition,
! [X1] :
( sQ233_spl
<=> ( equalish(e_3,X1)
| ~ next(e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2523,plain,
! [X0] :
( ~ sQ233_spl
| equalish(e_3,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f2522]) ).
fof(f2526,definition,
( sQ234_spl
<=> greater(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2528,plain,
( sQ234_spl
| ~ greater(e_3,e_1) ),
inference(component_clause,[status(thm)],[f2526]) ).
fof(f2530,plain,
( ~ sQ90_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2472,f103]) ).
fof(f2531,plain,
( ~ sQ90_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f2530]) ).
fof(f2532,plain,
( sQ234_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2528,f70]) ).
fof(f2533,plain,
sQ234_spl,
inference(contradiction_clause,[status(thm)],[f2532]) ).
fof(f2534,plain,
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1577,f1764]) ).
fof(f2538,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| product(X0,e_5,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1577,f124]) ).
fof(f2539,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ90_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1759,f121]) ).
fof(f2540,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ90_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1759,f119]) ).
fof(f2541,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1759,f117]) ).
fof(f2542,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ90_spl
| product(X0,e_2,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1759,f124]) ).
fof(f2548,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl
| product(X0,e_3,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f2534,f124]) ).
fof(f2551,plain,
( ~ sQ233_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2523,f60]) ).
fof(f2552,plain,
( ~ sQ233_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2551,f104]) ).
fof(f2553,plain,
~ sQ233_spl,
inference(contradiction_clause,[status(thm)],[f2552]) ).
fof(f2564,plain,
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f2542,f2534]) ).
fof(f2573,plain,
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ124_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1973,f1577]) ).
fof(f2574,plain,
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2573,f103]) ).
fof(f2575,plain,
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f2574]) ).
fof(f2576,plain,
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ103_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f492,f2466]) ).
fof(f2577,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f492,f121]) ).
fof(f2578,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f492,f119]) ).
fof(f2579,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f492,f117]) ).
fof(f2580,plain,
! [X0] :
( ~ sQ103_spl
| product(X0,e_4,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f492,f124]) ).
fof(f2581,plain,
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ103_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f2576,f340,f491,f425,f347]) ).
fof(f2582,plain,
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ102_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f489,f2466]) ).
fof(f2583,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f489,f121]) ).
fof(f2584,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f489,f119]) ).
fof(f2585,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f489,f117]) ).
fof(f2586,plain,
! [X0] :
( ~ sQ102_spl
| product(X0,e_3,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f489,f124]) ).
fof(f2587,plain,
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ101_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f486,f2466]) ).
fof(f2588,plain,
( ~ sQ101_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f486,f129]) ).
fof(f2589,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f486,f121]) ).
fof(f2590,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f486,f119]) ).
fof(f2591,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f486,f117]) ).
fof(f2592,plain,
! [X0] :
( ~ sQ101_spl
| product(X0,e_2,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f486,f124]) ).
fof(f2593,plain,
( ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2588,f112]) ).
fof(f2594,plain,
~ sQ101_spl,
inference(contradiction_clause,[status(thm)],[f2593]) ).
fof(f2595,plain,
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ100_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f483,f2466]) ).
fof(f2596,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f483,f121]) ).
fof(f2597,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f483,f119]) ).
fof(f2598,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f483,f117]) ).
fof(f2599,plain,
! [X0] :
( ~ sQ100_spl
| product(X0,e_1,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f483,f124]) ).
fof(f2603,plain,
! [X0] :
( ~ sQ149_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f644,f121]) ).
fof(f2604,plain,
! [X0] :
( ~ sQ149_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f644,f119]) ).
fof(f2605,plain,
( ~ sQ149_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f644,f127]) ).
fof(f2606,plain,
! [X0] :
( ~ sQ149_spl
| equalish(X0,e_5)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f644,f117]) ).
fof(f2607,plain,
( ~ sQ149_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f644,f125]) ).
fof(f2608,plain,
! [X0] :
( ~ sQ149_spl
| product(X0,e_5,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f644,f124]) ).
fof(f2613,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f641,f121]) ).
fof(f2614,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f641,f119]) ).
fof(f2615,plain,
( ~ sQ148_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f641,f127]) ).
fof(f2616,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f641,f117]) ).
fof(f2617,plain,
( ~ sQ148_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f641,f125]) ).
fof(f2618,plain,
! [X0] :
( ~ sQ148_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f641,f124]) ).
fof(f2621,plain,
( ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2615,f107]) ).
fof(f2622,plain,
~ sQ148_spl,
inference(contradiction_clause,[status(thm)],[f2621]) ).
fof(f2625,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f638,f121]) ).
fof(f2626,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f638,f119]) ).
fof(f2627,plain,
( ~ sQ147_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f638,f127]) ).
fof(f2628,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f638,f117]) ).
fof(f2629,plain,
( ~ sQ147_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f638,f125]) ).
fof(f2630,plain,
! [X0] :
( ~ sQ147_spl
| product(X0,e_3,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f638,f124]) ).
fof(f2633,plain,
( ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2627,f103]) ).
fof(f2634,plain,
~ sQ147_spl,
inference(contradiction_clause,[status(thm)],[f2633]) ).
fof(f2637,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f635,f121]) ).
fof(f2638,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f635,f119]) ).
fof(f2639,plain,
( ~ sQ146_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f635,f127]) ).
fof(f2640,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f635,f117]) ).
fof(f2641,plain,
( ~ sQ146_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f635,f125]) ).
fof(f2642,plain,
! [X0] :
( ~ sQ146_spl
| product(X0,e_2,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f635,f124]) ).
fof(f2643,definition,
! [X1] :
( sQ235_spl
<=> ( equalish(e_2,X1)
| ~ next(e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2644,plain,
! [X0] :
( ~ sQ235_spl
| equalish(e_2,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f2643]) ).
fof(f2647,definition,
( sQ236_spl
<=> greater(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2649,plain,
( sQ236_spl
| ~ greater(e_2,e_1) ),
inference(component_clause,[status(thm)],[f2647]) ).
fof(f2651,plain,
( ~ sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2639,f99]) ).
fof(f2652,plain,
~ sQ146_spl,
inference(contradiction_clause,[status(thm)],[f2651]) ).
fof(f2653,plain,
( sQ236_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2649,f69]) ).
fof(f2654,plain,
sQ236_spl,
inference(contradiction_clause,[status(thm)],[f2653]) ).
fof(f2655,plain,
( ~ sQ100_spl
| ~ sQ43_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f1259,f483]) ).
fof(f2656,plain,
( ~ sQ102_spl
| ~ sQ43_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f1259,f489]) ).
fof(f2657,plain,
( ~ sQ102_spl
| ~ sQ43_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f2656,f425,f284,f488]) ).
fof(f2658,plain,
( ~ sQ71_spl
| ~ sQ100_spl
| ~ sQ43_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f2655,f1414]) ).
fof(f2659,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ43_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f2655,f121]) ).
fof(f2660,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f2655,f119]) ).
fof(f2661,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ43_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f2655,f117]) ).
fof(f2663,plain,
( ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f2658,f2599]) ).
fof(f2664,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ100_spl
| ~ sQ43_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2658,f121]) ).
fof(f2665,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ100_spl
| ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f2658,f119]) ).
fof(f2666,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ100_spl
| ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2658,f117]) ).
fof(f2689,plain,
( ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| ~ sQ51_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1579,f2663]) ).
fof(f2690,plain,
( ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2689,f98]) ).
fof(f2691,plain,
( ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f2690]) ).
fof(f2692,plain,
( ~ sQ100_spl
| ~ sQ43_spl
| ~ sQ32_spl
| ~ sQ50_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1582,f2660]) ).
fof(f2693,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1582,f121]) ).
fof(f2697,plain,
( ~ sQ100_spl
| ~ sQ43_spl
| ~ sQ32_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2692,f105]) ).
fof(f2698,plain,
( ~ sQ100_spl
| ~ sQ43_spl
| ~ sQ32_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f2697]) ).
fof(f2720,plain,
( ~ sQ100_spl
| ~ sQ110_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2416,f483]) ).
fof(f2721,plain,
( ~ sQ100_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2720,f113]) ).
fof(f2722,plain,
( ~ sQ100_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f2721]) ).
fof(f2723,plain,
( ~ sQ123_spl
| ~ sQ144_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f628,f1989]) ).
fof(f2724,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f628,f121]) ).
fof(f2725,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f628,f119]) ).
fof(f2726,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f628,f117]) ).
fof(f2727,plain,
! [X0] :
( ~ sQ144_spl
| product(X0,e_5,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f628,f124]) ).
fof(f2728,plain,
( ~ sQ123_spl
| ~ sQ144_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f2723,f246,f627,f555]) ).
fof(f2729,plain,
( ~ sQ123_spl
| ~ sQ143_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f625,f1989]) ).
fof(f2730,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f625,f121]) ).
fof(f2731,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f625,f119]) ).
fof(f2732,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f625,f117]) ).
fof(f2733,plain,
! [X0] :
( ~ sQ143_spl
| product(X0,e_4,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f625,f124]) ).
fof(f2734,plain,
( ~ sQ123_spl
| ~ sQ143_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f2729,f331,f624,f555]) ).
fof(f2735,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f622,f1989]) ).
fof(f2736,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f622,f121]) ).
fof(f2737,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f622,f119]) ).
fof(f2738,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f622,f117]) ).
fof(f2739,plain,
! [X0] :
( ~ sQ142_spl
| product(X0,e_3,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f622,f124]) ).
fof(f2741,plain,
( ~ sQ141_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f619,f130]) ).
fof(f2742,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f619,f121]) ).
fof(f2743,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f619,f119]) ).
fof(f2744,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f619,f117]) ).
fof(f2745,plain,
! [X0] :
( ~ sQ141_spl
| product(X0,e_2,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f619,f124]) ).
fof(f2747,plain,
( ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2741,f95]) ).
fof(f2748,plain,
~ sQ141_spl,
inference(contradiction_clause,[status(thm)],[f2747]) ).
fof(f2749,plain,
( ~ sQ123_spl
| ~ sQ140_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f616,f1989]) ).
fof(f2750,plain,
( ~ sQ140_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f616,f129]) ).
fof(f2751,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f616,f121]) ).
fof(f2752,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f616,f119]) ).
fof(f2753,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f616,f117]) ).
fof(f2754,plain,
! [X0] :
( ~ sQ140_spl
| product(X0,e_1,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f616,f124]) ).
fof(f2755,plain,
( ~ sQ140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2750,f99]) ).
fof(f2756,plain,
~ sQ140_spl,
inference(contradiction_clause,[status(thm)],[f2755]) ).
fof(f2757,plain,
( ~ sQ99_spl
| ~ sQ139_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f612,f1592]) ).
fof(f2758,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f612,f121]) ).
fof(f2759,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f612,f119]) ).
fof(f2760,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f612,f117]) ).
fof(f2761,plain,
! [X0] :
( ~ sQ139_spl
| product(X0,e_5,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f612,f124]) ).
fof(f2762,plain,
( ~ sQ99_spl
| ~ sQ138_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f609,f1592]) ).
fof(f2763,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f609,f121]) ).
fof(f2764,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f609,f119]) ).
fof(f2765,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f609,f117]) ).
fof(f2766,plain,
! [X0] :
( ~ sQ138_spl
| product(X0,e_4,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f609,f124]) ).
fof(f2767,plain,
( ~ sQ99_spl
| ~ sQ138_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f2762,f318,f608,f473]) ).
fof(f2769,plain,
( ~ sQ137_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f606,f130]) ).
fof(f2770,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f606,f121]) ).
fof(f2771,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f606,f119]) ).
fof(f2772,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f606,f117]) ).
fof(f2773,plain,
! [X0] :
( ~ sQ137_spl
| product(X0,e_3,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f606,f124]) ).
fof(f2775,plain,
( ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2769,f96]) ).
fof(f2776,plain,
~ sQ137_spl,
inference(contradiction_clause,[status(thm)],[f2775]) ).
fof(f2777,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f603,f1592]) ).
fof(f2778,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f603,f121]) ).
fof(f2779,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f603,f119]) ).
fof(f2780,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f603,f117]) ).
fof(f2781,plain,
! [X0] :
( ~ sQ136_spl
| product(X0,e_2,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f603,f124]) ).
fof(f2782,plain,
( ~ sQ76_spl
| ~ sQ69_spl
| ~ sQ107_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2433,f1958]) ).
fof(f2786,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ107_spl
| product(X0,e_4,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f2433,f124]) ).
fof(f2787,plain,
( ~ sQ76_spl
| ~ sQ69_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2782,f108]) ).
fof(f2788,plain,
( ~ sQ76_spl
| ~ sQ69_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f2787]) ).
fof(f2789,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ142_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2735,f121]) ).
fof(f2790,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ142_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2735,f119]) ).
fof(f2791,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ142_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2735,f117]) ).
fof(f2792,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ142_spl
| product(X0,e_2,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2735,f124]) ).
fof(f2793,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ139_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2757,f121]) ).
fof(f2794,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ139_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2757,f119]) ).
fof(f2795,plain,
( ~ sQ99_spl
| ~ sQ139_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f2757,f127]) ).
fof(f2796,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ139_spl
| equalish(X0,e_3)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f2757,f117]) ).
fof(f2797,plain,
( ~ sQ99_spl
| ~ sQ139_spl
| product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f2757,f125]) ).
fof(f2798,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ139_spl
| product(X0,e_3,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f2757,f124]) ).
fof(f2799,plain,
( ~ sQ99_spl
| ~ sQ139_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2795,f106]) ).
fof(f2800,plain,
( ~ sQ99_spl
| ~ sQ139_spl ),
inference(contradiction_clause,[status(thm)],[f2799]) ).
fof(f2804,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| product(X0,e_3,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2777,f124]) ).
fof(f2808,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ60_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f1507,f2735]) ).
fof(f2826,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ42_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f1268,f2777]) ).
fof(f2828,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2826,f121]) ).
fof(f2829,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f2826,f119]) ).
fof(f2830,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ42_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2826,f127]) ).
fof(f2831,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ42_spl
| equalish(X0,e_5)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f2826,f117]) ).
fof(f2832,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ42_spl
| product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f2826,f125]) ).
fof(f2833,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ42_spl
| product(X0,e_5,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f2826,f124]) ).
fof(f2836,plain,
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ38_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f1293,f2433]) ).
fof(f2837,plain,
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ38_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f2836,f340,f268,f504,f372]) ).
fof(f2838,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ64_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f1474,f2735]) ).
fof(f2839,plain,
( ~ sQ42_spl
| ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ64_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f2838,f1268]) ).
fof(f2840,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ64_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2838,f1987]) ).
fof(f2841,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ64_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2838,f121]) ).
fof(f2842,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ64_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2838,f119]) ).
fof(f2843,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2838,f117]) ).
fof(f2844,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ64_spl
| product(X0,e_4,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2838,f124]) ).
fof(f2845,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2840,f111]) ).
fof(f2846,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f2845]) ).
fof(f2847,plain,
( sQ81_spl
| ~ sQ123_spl
| ~ sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f418,f2735]) ).
fof(f2848,plain,
( sQ81_spl
| ~ sQ123_spl
| ~ sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f2847]) ).
fof(f2849,plain,
( ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2281,f108]) ).
fof(f2850,plain,
~ sQ118_spl,
inference(contradiction_clause,[status(thm)],[f2849]) ).
fof(f2852,plain,
( ~ sQ36_spl
| ~ sQ78_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f1941,f372,f406,f262]) ).
fof(f2853,plain,
( ~ sQ142_spl
| ~ sQ123_spl
| ~ sQ60_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f2808,f2739]) ).
fof(f2868,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ107_spl
| product(X0,e_4,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f2433,f124]) ).
fof(f2869,plain,
! [X0] :
( ~ sQ142_spl
| ~ sQ123_spl
| ~ sQ60_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2853,f121]) ).
fof(f2870,plain,
! [X0] :
( ~ sQ142_spl
| ~ sQ123_spl
| ~ sQ60_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2853,f119]) ).
fof(f2871,plain,
! [X0] :
( ~ sQ142_spl
| ~ sQ123_spl
| ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2853,f117]) ).
fof(f2879,plain,
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f1305,f2433]) ).
fof(f2883,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f2879,f121]) ).
fof(f2884,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2879,f119]) ).
fof(f2885,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f2879,f117]) ).
fof(f2889,plain,
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f2437,f2879]) ).
fof(f2890,plain,
( ~ sQ78_spl
| ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f2889,f1945]) ).
fof(f2906,plain,
( ~ sQ99_spl
| ~ sQ135_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f600,f1592]) ).
fof(f2908,plain,
( ~ sQ135_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f600,f129]) ).
fof(f2909,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f600,f121]) ).
fof(f2910,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f600,f119]) ).
fof(f2911,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f600,f117]) ).
fof(f2912,plain,
! [X0] :
( ~ sQ135_spl
| product(X0,e_1,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f600,f124]) ).
fof(f2915,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2830,f113]) ).
fof(f2916,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f2915]) ).
fof(f2917,plain,
( ~ sQ71_spl
| ~ sQ134_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f596,f1414]) ).
fof(f2918,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f596,f121]) ).
fof(f2919,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f596,f119]) ).
fof(f2920,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f596,f117]) ).
fof(f2921,plain,
! [X0] :
( ~ sQ134_spl
| product(X0,e_5,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f596,f124]) ).
fof(f2922,plain,
( ~ sQ71_spl
| ~ sQ134_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f2917,f284,f595,f379]) ).
fof(f2923,plain,
( ~ sQ133_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f593,f130]) ).
fof(f2924,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f593,f121]) ).
fof(f2925,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f593,f119]) ).
fof(f2926,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f593,f117]) ).
fof(f2927,plain,
! [X0] :
( ~ sQ133_spl
| product(X0,e_4,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f593,f124]) ).
fof(f2928,plain,
( ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2923,f97]) ).
fof(f2929,plain,
~ sQ133_spl,
inference(contradiction_clause,[status(thm)],[f2928]) ).
fof(f2933,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ31_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1328,f2735]) ).
fof(f2934,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2933,f106]) ).
fof(f2935,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2934]) ).
fof(f2936,plain,
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f1582,f1606]) ).
fof(f2941,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2936,f121]) ).
fof(f2942,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2936,f119]) ).
fof(f2943,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2936,f117]) ).
fof(f2945,plain,
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ90_spl
| ~ sQ114_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2382,f2936]) ).
fof(f2946,plain,
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ90_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2945,f107]) ).
fof(f2947,plain,
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ90_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f2946]) ).
fof(f2951,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| product(X0,e_3,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2777,f124]) ).
fof(f2952,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1569,f121]) ).
fof(f2953,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1569,f119]) ).
fof(f2954,plain,
( ~ sQ32_spl
| ~ sQ52_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1569,f127]) ).
fof(f2955,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ52_spl
| equalish(X0,e_5)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1569,f117]) ).
fof(f2956,plain,
( ~ sQ32_spl
| ~ sQ52_spl
| product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f1569,f125]) ).
fof(f2957,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ52_spl
| product(X0,e_5,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1569,f124]) ).
fof(f2958,plain,
( ~ sQ32_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2954,f113]) ).
fof(f2959,plain,
( ~ sQ32_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f2958]) ).
fof(f2963,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ50_spl
| product(X0,e_5,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1582,f124]) ).
fof(f2975,plain,
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1586,f2936]) ).
fof(f2976,plain,
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ46_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f1223,f2446]) ).
fof(f2977,plain,
( ~ sQ123_spl
| ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2975,f1986]) ).
fof(f2984,plain,
( ~ sQ123_spl
| ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2977,f104]) ).
fof(f2985,plain,
( ~ sQ123_spl
| ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f2984]) ).
fof(f2986,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ90_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1759,f121]) ).
fof(f2987,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ90_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1759,f119]) ).
fof(f2988,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1759,f117]) ).
fof(f2989,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ90_spl
| product(X0,e_2,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1759,f124]) ).
fof(f2992,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2534,f121]) ).
fof(f2993,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2534,f119]) ).
fof(f2994,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl
| equalish(X0,e_3)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2534,f117]) ).
fof(f2995,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl
| product(X0,e_3,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f2534,f124]) ).
fof(f2998,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2564,f121]) ).
fof(f2999,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2564,f119]) ).
fof(f3000,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2564,f117]) ).
fof(f3001,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl
| product(X0,e_1,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2564,f124]) ).
fof(f3005,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| product(X0,e_5,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1577,f124]) ).
fof(f3006,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2777,f121]) ).
fof(f3007,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2777,f119]) ).
fof(f3008,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| equalish(X0,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2777,f117]) ).
fof(f3009,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| product(X0,e_3,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2777,f124]) ).
fof(f3022,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ40_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f1281,f2777]) ).
fof(f3026,plain,
( ~ sQ136_spl
| ~ sQ99_spl
| ~ sQ40_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f3022,f2781]) ).
fof(f3031,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ40_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f3022,f117]) ).
fof(f3035,plain,
( ~ sQ102_spl
| ~ sQ136_spl
| ~ sQ99_spl
| ~ sQ40_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f3026,f2586]) ).
fof(f3036,plain,
! [X0] :
( ~ sQ136_spl
| ~ sQ99_spl
| ~ sQ40_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f3026,f121]) ).
fof(f3037,plain,
! [X0] :
( ~ sQ136_spl
| ~ sQ99_spl
| ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f3026,f119]) ).
fof(f3038,plain,
! [X0] :
( ~ sQ136_spl
| ~ sQ99_spl
| ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f3026,f117]) ).
fof(f3042,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ136_spl
| ~ sQ99_spl
| ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f3035,f121]) ).
fof(f3043,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ136_spl
| ~ sQ99_spl
| ~ sQ40_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f3035,f119]) ).
fof(f3044,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ136_spl
| ~ sQ99_spl
| ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f3035,f117]) ).
fof(f3048,plain,
( sQ102_spl
| ~ sQ99_spl
| ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f490,f2777]) ).
fof(f3049,plain,
( sQ102_spl
| ~ sQ99_spl
| ~ sQ136_spl ),
inference(contradiction_clause,[status(thm)],[f3048]) ).
fof(f3050,plain,
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1325,f2534]) ).
fof(f3051,plain,
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3050,f97]) ).
fof(f3052,plain,
( ~ sQ90_spl
| ~ sQ32_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f3051]) ).
fof(f3053,plain,
( sQ114_spl
| ~ sQ32_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f528,f1577]) ).
fof(f3054,plain,
( sQ114_spl
| ~ sQ32_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f3053]) ).
fof(f3055,plain,
( ~ sQ142_spl
| ~ sQ132_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f590,f2737]) ).
fof(f3056,plain,
( ~ sQ32_spl
| ~ sQ132_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f590,f1324]) ).
fof(f3057,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f590,f121]) ).
fof(f3058,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f590,f119]) ).
fof(f3059,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f590,f117]) ).
fof(f3060,plain,
! [X0] :
( ~ sQ132_spl
| product(X0,e_3,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f590,f124]) ).
fof(f3061,plain,
( ~ sQ142_spl
| ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3055,f108]) ).
fof(f3062,plain,
( ~ sQ142_spl
| ~ sQ132_spl ),
inference(contradiction_clause,[status(thm)],[f3061]) ).
fof(f3063,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ131_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f587,f2789]) ).
fof(f3064,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f587,f121]) ).
fof(f3065,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f587,f119]) ).
fof(f3066,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f587,f117]) ).
fof(f3067,plain,
! [X0] :
( ~ sQ131_spl
| product(X0,e_2,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f587,f124]) ).
fof(f3068,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3063,f96]) ).
fof(f3069,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f3068]) ).
fof(f3070,plain,
( ~ sQ130_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f584,f129]) ).
fof(f3071,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f584,f121]) ).
fof(f3072,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f584,f119]) ).
fof(f3073,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f584,f117]) ).
fof(f3074,plain,
! [X0] :
( ~ sQ130_spl
| product(X0,e_1,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f584,f124]) ).
fof(f3075,plain,
( ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3070,f107]) ).
fof(f3076,plain,
~ sQ130_spl,
inference(contradiction_clause,[status(thm)],[f3075]) ).
fof(f3077,plain,
( ~ sQ129_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f580,f130]) ).
fof(f3078,plain,
! [X0] :
( ~ sQ129_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f580,f121]) ).
fof(f3079,plain,
! [X0] :
( ~ sQ129_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f580,f119]) ).
fof(f3080,plain,
! [X0] :
( ~ sQ129_spl
| equalish(X0,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f580,f117]) ).
fof(f3081,plain,
! [X0] :
( ~ sQ129_spl
| product(X0,e_5,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f580,f124]) ).
fof(f3082,plain,
( ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3077,f98]) ).
fof(f3083,plain,
~ sQ129_spl,
inference(contradiction_clause,[status(thm)],[f3082]) ).
fof(f3084,plain,
! [X0] :
( ~ sQ128_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f577,f121]) ).
fof(f3085,plain,
! [X0] :
( ~ sQ128_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f577,f119]) ).
fof(f3086,plain,
! [X0] :
( ~ sQ128_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f577,f117]) ).
fof(f3087,plain,
! [X0] :
( ~ sQ128_spl
| product(X0,e_4,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f577,f124]) ).
fof(f3088,plain,
( ~ sQ142_spl
| ~ sQ127_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f574,f2737]) ).
fof(f3089,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f574,f121]) ).
fof(f3090,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f574,f119]) ).
fof(f3091,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f574,f117]) ).
fof(f3092,plain,
! [X0] :
( ~ sQ127_spl
| product(X0,e_3,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f574,f124]) ).
fof(f3093,plain,
( ~ sQ142_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3088,f112]) ).
fof(f3094,plain,
( ~ sQ142_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f3093]) ).
fof(f3095,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f571,f121]) ).
fof(f3096,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f571,f119]) ).
fof(f3097,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f571,f117]) ).
fof(f3098,plain,
! [X0] :
( ~ sQ126_spl
| product(X0,e_2,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f571,f124]) ).
fof(f3099,plain,
( ~ sQ125_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f568,f129]) ).
fof(f3100,plain,
! [X0] :
( ~ sQ125_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f568,f121]) ).
fof(f3101,plain,
! [X0] :
( ~ sQ125_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f568,f119]) ).
fof(f3102,plain,
! [X0] :
( ~ sQ125_spl
| equalish(X0,e_1)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f568,f117]) ).
fof(f3103,plain,
! [X0] :
( ~ sQ125_spl
| product(X0,e_1,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f568,f124]) ).
fof(f3104,plain,
( ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3099,f111]) ).
fof(f3105,plain,
~ sQ125_spl,
inference(contradiction_clause,[status(thm)],[f3104]) ).
fof(f3109,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| product(X0,e_3,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2777,f124]) ).
fof(f3113,plain,
( ~ sQ126_spl
| ~ sQ90_spl
| ~ sQ114_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f2384,f571]) ).
fof(f3114,plain,
( ~ sQ128_spl
| ~ sQ90_spl
| ~ sQ114_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f2384,f577]) ).
fof(f3115,plain,
( ~ sQ128_spl
| ~ sQ90_spl
| ~ sQ114_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f3114,f356,f526,f445,f576]) ).
fof(f3116,plain,
( ~ sQ90_spl
| ~ sQ126_spl
| ~ sQ114_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f3113,f1764]) ).
fof(f3135,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ43_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f1259,f2777]) ).
fof(f3136,plain,
( ~ sQ60_spl
| ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ43_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f3135,f1507]) ).
fof(f3137,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ43_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f3135,f2791]) ).
fof(f3138,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ43_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3135,f121]) ).
fof(f3139,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f3135,f119]) ).
fof(f3140,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ43_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f3135,f117]) ).
fof(f3141,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ43_spl
| product(X0,e_5,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f3135,f124]) ).
fof(f3142,plain,
( ~ sQ60_spl
| ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ43_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f3136,f300,f284,f602,f473,f344]) ).
fof(f3143,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3137,f112]) ).
fof(f3144,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f3143]) ).
fof(f3145,plain,
( ~ sQ142_spl
| ~ sQ123_spl
| ~ sQ60_spl
| ~ sQ84_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f1811,f2853]) ).
fof(f3146,plain,
( ~ sQ142_spl
| ~ sQ123_spl
| ~ sQ60_spl
| ~ sQ84_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f3145,f573,f425,f344,f555,f621]) ).
fof(f3151,plain,
( ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f2976,f2450]) ).
fof(f3152,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ46_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f2976,f121]) ).
fof(f3153,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2976,f119]) ).
fof(f3154,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ46_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f2976,f117]) ).
fof(f3156,plain,
( ~ sQ126_spl
| ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f3151,f3098]) ).
fof(f3159,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3151,f121]) ).
fof(f3160,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f3151,f119]) ).
fof(f3161,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f3151,f117]) ).
fof(f3165,plain,
! [X0] :
( ~ sQ126_spl
| ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f3156,f121]) ).
fof(f3166,plain,
! [X0] :
( ~ sQ126_spl
| ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f3156,f119]) ).
fof(f3167,plain,
( ~ sQ126_spl
| ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f3156,f127]) ).
fof(f3168,plain,
! [X0] :
( ~ sQ126_spl
| ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f3156,f117]) ).
fof(f3169,plain,
( ~ sQ126_spl
| ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f3156,f125]) ).
fof(f3170,plain,
! [X0] :
( ~ sQ126_spl
| ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f3156,f124]) ).
fof(f3171,plain,
( ~ sQ126_spl
| ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3167,f95]) ).
fof(f3172,plain,
( ~ sQ126_spl
| ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f3171]) ).
fof(f3182,plain,
( ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f2496,f3151]) ).
fof(f3183,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f3182,f121]) ).
fof(f3184,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f3182,f119]) ).
fof(f3185,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f3182,f117]) ).
fof(f3192,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ76_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1957,f2735]) ).
fof(f3193,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3192,f110]) ).
fof(f3194,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f3193]) ).
fof(f3198,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ43_spl
| product(X0,e_5,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2655,f124]) ).
fof(f3199,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ100_spl
| ~ sQ43_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2658,f121]) ).
fof(f3200,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ100_spl
| ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f2658,f119]) ).
fof(f3201,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ100_spl
| ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2658,f117]) ).
fof(f3203,plain,
( ~ sQ134_spl
| ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f2663,f2921]) ).
fof(f3206,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2663,f121]) ).
fof(f3207,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2663,f119]) ).
fof(f3208,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2663,f117]) ).
fof(f3212,plain,
! [X0] :
( ~ sQ134_spl
| ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f3203,f121]) ).
fof(f3213,plain,
! [X0] :
( ~ sQ134_spl
| ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f3203,f119]) ).
fof(f3214,plain,
! [X0] :
( ~ sQ134_spl
| ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| equalish(X0,e_1)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f3203,f117]) ).
fof(f3219,plain,
( ~ sQ9_spl
| ~ sQ155_spl
| ~ greater(e_4,e_0)
| ~ greater(e_2,e_4) ),
inference(resolution,[status(thm)],[f720,f166]) ).
fof(f3220,plain,
( ~ sQ13_spl
| ~ sQ155_spl
| ~ greater(e_3,e_0)
| ~ greater(e_2,e_3) ),
inference(resolution,[status(thm)],[f720,f179]) ).
fof(f3221,plain,
( ~ sQ18_spl
| ~ sQ155_spl
| ~ greater(e_3,e_0)
| ~ greater(e_2,e_2) ),
inference(resolution,[status(thm)],[f720,f195]) ).
fof(f3222,plain,
( ~ sQ20_spl
| ~ sQ155_spl
| ~ greater(e_0,e_0)
| ~ greater(e_2,e_1) ),
inference(resolution,[status(thm)],[f720,f202]) ).
fof(f3223,plain,
( ~ sQ155_spl
| ~ greater(e_0,e_0)
| ~ greater(e_2,e_5) ),
inference(resolution,[status(thm)],[f720,f82]) ).
fof(f3224,plain,
( ~ sQ9_spl
| ~ sQ155_spl
| ~ sQ168_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f3219,f2090,f822,f719,f165]) ).
fof(f3225,plain,
( ~ sQ13_spl
| ~ sQ155_spl
| ~ sQ166_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f3220,f1716,f815,f719,f178]) ).
fof(f3226,plain,
( ~ sQ18_spl
| ~ sQ155_spl
| ~ sQ166_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f3221,f2110,f815,f719,f194]) ).
fof(f3227,plain,
( ~ sQ20_spl
| ~ sQ155_spl
| ~ sQ172_spl
| ~ sQ236_spl ),
inference(split_clause,[status(thm)],[f3222,f2647,f844,f719,f201]) ).
fof(f3228,plain,
( ~ sQ155_spl
| ~ sQ172_spl
| ~ sQ197_spl ),
inference(split_clause,[status(thm)],[f3223,f1228,f844,f719]) ).
fof(f3238,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ126_spl
| ~ sQ114_spl
| product(X0,e_3,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f3116,f124]) ).
fof(f3247,plain,
( ~ sQ90_spl
| ~ sQ126_spl
| ~ sQ114_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f3098,f3116]) ).
fof(f3248,plain,
( ~ sQ114_spl
| ~ sQ90_spl
| ~ sQ126_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f3247,f2375]) ).
fof(f3251,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ126_spl
| ~ sQ114_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f3247,f117]) ).
fof(f3254,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ90_spl
| ~ sQ126_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f3248,f121]) ).
fof(f3255,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ90_spl
| ~ sQ126_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f3248,f119]) ).
fof(f3256,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ90_spl
| ~ sQ126_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f3248,f117]) ).
fof(f3265,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ60_spl
| ~ sQ98_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1603,f2808]) ).
fof(f3266,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ60_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3265,f100]) ).
fof(f3267,plain,
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ60_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f3266]) ).
fof(f3271,plain,
( ~ sQ142_spl
| ~ sQ67_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1451,f622]) ).
fof(f3272,plain,
( ~ sQ142_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3271,f97]) ).
fof(f3273,plain,
( ~ sQ142_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f3272]) ).
fof(f3278,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ105_spl
| product(X0,e_4,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2446,f124]) ).
fof(f3293,plain,
( ~ sQ30_spl
| ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f3182,f1357]) ).
fof(f3298,plain,
( ~ sQ30_spl
| ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3293,f102]) ).
fof(f3299,plain,
( ~ sQ30_spl
| ~ sQ105_spl
| ~ sQ69_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f3298]) ).
fof(f3304,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| product(X0,e_3,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2777,f124]) ).
fof(f3332,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f160,f86]) ).
fof(f3333,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f160,f84]) ).
fof(f3334,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_2)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f160,f80]) ).
fof(f3337,plain,
( ~ sQ7_spl
| ~ sQ157_spl
| ~ greater(e_2,e_0)
| ~ greater(e_3,e_4) ),
inference(resolution,[status(thm)],[f746,f160]) ).
fof(f3338,plain,
( ~ sQ17_spl
| ~ sQ157_spl
| ~ greater(e_2,e_0)
| ~ greater(e_3,e_2) ),
inference(resolution,[status(thm)],[f746,f192]) ).
fof(f3339,plain,
( ~ sQ12_spl
| ~ sQ157_spl
| ~ greater(e_2,e_0)
| ~ greater(e_3,e_3) ),
inference(resolution,[status(thm)],[f746,f176]) ).
fof(f3340,plain,
( ~ sQ20_spl
| ~ sQ157_spl
| ~ greater(e_0,e_0)
| ~ greater(e_3,e_1) ),
inference(resolution,[status(thm)],[f746,f202]) ).
fof(f3341,plain,
( ~ sQ157_spl
| ~ greater(e_0,e_0)
| ~ greater(e_3,e_5) ),
inference(resolution,[status(thm)],[f746,f82]) ).
fof(f3342,plain,
( ~ sQ7_spl
| ~ sQ157_spl
| ~ sQ164_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f3337,f1404,f808,f745,f159]) ).
fof(f3343,plain,
( ~ sQ17_spl
| ~ sQ157_spl
| ~ sQ164_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f3338,f2098,f808,f745,f191]) ).
fof(f3344,plain,
( ~ sQ12_spl
| ~ sQ157_spl
| ~ sQ164_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f3339,f2120,f808,f745,f175]) ).
fof(f3345,plain,
( ~ sQ20_spl
| ~ sQ157_spl
| ~ sQ172_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f3340,f2526,f844,f745,f201]) ).
fof(f3346,plain,
( ~ sQ157_spl
| ~ sQ172_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f3341,f1212,f844,f745]) ).
fof(f3359,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| product(X0,e_5,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1577,f124]) ).
fof(f3365,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ93_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1885,f121]) ).
fof(f3366,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| ~ sQ93_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1885,f119]) ).
fof(f3411,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f189,f84]) ).
fof(f3412,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_1)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f189,f80]) ).
fof(f3417,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f173,f86]) ).
fof(f3418,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f173,f84]) ).
fof(f3419,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_1)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f173,f80]) ).
fof(f3424,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f163,f86]) ).
fof(f3425,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f163,f84]) ).
fof(f3426,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_3)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f163,f80]) ).
fof(f3429,plain,
( ~ sQ8_spl
| ~ sQ159_spl
| ~ greater(e_3,e_0)
| ~ greater(e_4,e_4) ),
inference(resolution,[status(thm)],[f772,f163]) ).
fof(f3430,plain,
( ~ sQ11_spl
| ~ sQ159_spl
| ~ greater(e_1,e_0)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f772,f173]) ).
fof(f3431,plain,
( ~ sQ16_spl
| ~ sQ159_spl
| ~ greater(e_1,e_0)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f772,f189]) ).
fof(f3432,plain,
( ~ sQ20_spl
| ~ sQ159_spl
| ~ greater(e_0,e_0)
| ~ greater(e_4,e_1) ),
inference(resolution,[status(thm)],[f772,f202]) ).
fof(f3433,plain,
( ~ sQ159_spl
| ~ greater(e_0,e_0)
| ~ greater(e_4,e_5) ),
inference(resolution,[status(thm)],[f772,f82]) ).
fof(f3434,plain,
( ~ sQ8_spl
| ~ sQ159_spl
| ~ sQ166_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f3429,f1388,f815,f771,f162]) ).
fof(f3435,plain,
( ~ sQ11_spl
| ~ sQ159_spl
| ~ sQ162_spl
| ~ sQ211_spl ),
inference(split_clause,[status(thm)],[f3430,f1611,f801,f771,f172]) ).
fof(f3436,plain,
( ~ sQ16_spl
| ~ sQ159_spl
| ~ sQ162_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f3431,f1994,f801,f771,f188]) ).
fof(f3437,plain,
( ~ sQ20_spl
| ~ sQ159_spl
| ~ sQ172_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f3432,f1911,f844,f771,f201]) ).
fof(f3438,plain,
( ~ sQ159_spl
| ~ sQ172_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f3433,f1198,f844,f771]) ).
fof(f3445,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f86]) ).
fof(f3446,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f84]) ).
fof(f3447,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f195,f80]) ).
fof(f3452,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f179,f86]) ).
fof(f3453,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f179,f84]) ).
fof(f3454,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f179,f80]) ).
fof(f3459,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| ~ greater(X1,e_4)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f166,f86]) ).
fof(f3460,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(X1,X2)
| ~ next(e_4,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f166,f84]) ).
fof(f3461,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f166,f80]) ).
fof(f3464,plain,
( ~ sQ169_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f826,f59]) ).
fof(f3465,plain,
( ~ sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3464,f107]) ).
fof(f3466,plain,
~ sQ169_spl,
inference(contradiction_clause,[status(thm)],[f3465]) ).
fof(f3469,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f160,f86]) ).
fof(f3470,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f160,f84]) ).
fof(f3471,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_2)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f160,f80]) ).
fof(f3474,plain,
( ~ sQ167_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f819,f59]) ).
fof(f3475,plain,
( ~ sQ167_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3474,f103]) ).
fof(f3476,plain,
~ sQ167_spl,
inference(contradiction_clause,[status(thm)],[f3475]) ).
fof(f3477,plain,
( ~ sQ165_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f812,f59]) ).
fof(f3478,plain,
( ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3477,f99]) ).
fof(f3479,plain,
~ sQ165_spl,
inference(contradiction_clause,[status(thm)],[f3478]) ).
fof(f3483,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| ~ greater(X1,X3)
| ~ greater(e_4,X0)
| ~ next(e_4,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f154,f86]) ).
fof(f3487,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f154,f86]) ).
fof(f3488,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f154,f84]) ).
fof(f3489,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f154,f80]) ).
fof(f3497,plain,
( ~ sQ173_spl
| equalish(e_0,e_1) ),
inference(resolution,[status(thm)],[f848,f59]) ).
fof(f3498,plain,
( ~ sQ5_spl
| ~ sQ174_spl
| ~ greater(e_0,e_4)
| ~ greater(e_5,e_4) ),
inference(resolution,[status(thm)],[f873,f154]) ).
fof(f3499,plain,
( ~ sQ13_spl
| ~ sQ174_spl
| ~ greater(e_3,e_4)
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f873,f179]) ).
fof(f3500,plain,
( ~ sQ18_spl
| ~ sQ174_spl
| ~ greater(e_3,e_4)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f873,f195]) ).
fof(f3501,plain,
( ~ sQ20_spl
| ~ sQ174_spl
| ~ greater(e_0,e_4)
| ~ greater(e_5,e_1) ),
inference(resolution,[status(thm)],[f873,f202]) ).
fof(f3502,plain,
( ~ sQ174_spl
| ~ greater(e_0,e_4)
| ~ greater(e_5,e_5) ),
inference(resolution,[status(thm)],[f873,f82]) ).
fof(f3503,definition,
( sQ237_spl
<=> greater(e_0,e_4) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f3505,plain,
( sQ237_spl
| ~ greater(e_0,e_4) ),
inference(component_clause,[status(thm)],[f3503]) ).
fof(f3506,plain,
( ~ sQ5_spl
| ~ sQ174_spl
| ~ sQ237_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f3498,f999,f3503,f872,f153]) ).
fof(f3507,plain,
( ~ sQ13_spl
| ~ sQ174_spl
| ~ sQ205_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f3499,f945,f1404,f872,f178]) ).
fof(f3508,plain,
( ~ sQ18_spl
| ~ sQ174_spl
| ~ sQ205_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f3500,f949,f1404,f872,f194]) ).
fof(f3509,plain,
( ~ sQ20_spl
| ~ sQ174_spl
| ~ sQ237_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f3501,f941,f3503,f872,f201]) ).
fof(f3510,plain,
( ~ sQ174_spl
| ~ sQ237_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f3502,f953,f3503,f872]) ).
fof(f3525,plain,
( ~ sQ12_spl
| ~ sQ179_spl
| ~ greater(e_2,e_3)
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f891,f176]) ).
fof(f3526,plain,
( ~ sQ17_spl
| ~ sQ179_spl
| ~ greater(e_2,e_3)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f891,f192]) ).
fof(f3527,plain,
( ~ sQ5_spl
| ~ sQ179_spl
| ~ greater(e_0,e_3)
| ~ greater(e_5,e_4) ),
inference(resolution,[status(thm)],[f891,f154]) ).
fof(f3528,plain,
( ~ sQ20_spl
| ~ sQ179_spl
| ~ greater(e_0,e_3)
| ~ greater(e_5,e_1) ),
inference(resolution,[status(thm)],[f891,f202]) ).
fof(f3529,plain,
( ~ sQ179_spl
| ~ greater(e_0,e_3)
| ~ greater(e_5,e_5) ),
inference(resolution,[status(thm)],[f891,f82]) ).
fof(f3530,plain,
( ~ sQ12_spl
| ~ sQ179_spl
| ~ sQ216_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f3525,f945,f1716,f890,f175]) ).
fof(f3531,plain,
( ~ sQ17_spl
| ~ sQ179_spl
| ~ sQ216_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f3526,f949,f1716,f890,f191]) ).
fof(f3532,definition,
( sQ238_spl
<=> greater(e_0,e_3) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f3534,plain,
( sQ238_spl
| ~ greater(e_0,e_3) ),
inference(component_clause,[status(thm)],[f3532]) ).
fof(f3535,plain,
( ~ sQ5_spl
| ~ sQ179_spl
| ~ sQ238_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f3527,f999,f3532,f890,f153]) ).
fof(f3536,plain,
( ~ sQ20_spl
| ~ sQ179_spl
| ~ sQ238_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f3528,f941,f3532,f890,f201]) ).
fof(f3537,plain,
( ~ sQ179_spl
| ~ sQ238_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f3529,f953,f3532,f890]) ).
fof(f3540,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f86]) ).
fof(f3541,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f84]) ).
fof(f3542,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f195,f80]) ).
fof(f3547,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f179,f86]) ).
fof(f3548,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f179,f84]) ).
fof(f3549,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f179,f80]) ).
fof(f3552,plain,
( ~ sQ13_spl
| ~ sQ178_spl
| ~ greater(e_3,e_2)
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f887,f179]) ).
fof(f3553,plain,
( ~ sQ18_spl
| ~ sQ178_spl
| ~ greater(e_3,e_2)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f887,f195]) ).
fof(f3554,plain,
( ~ sQ5_spl
| ~ sQ178_spl
| ~ greater(e_0,e_2)
| ~ greater(e_5,e_4) ),
inference(resolution,[status(thm)],[f887,f154]) ).
fof(f3555,plain,
( ~ sQ20_spl
| ~ sQ178_spl
| ~ greater(e_0,e_2)
| ~ greater(e_5,e_1) ),
inference(resolution,[status(thm)],[f887,f202]) ).
fof(f3556,plain,
( ~ sQ178_spl
| ~ greater(e_0,e_2)
| ~ greater(e_5,e_5) ),
inference(resolution,[status(thm)],[f887,f82]) ).
fof(f3557,plain,
( ~ sQ13_spl
| ~ sQ178_spl
| ~ sQ228_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f3552,f945,f2098,f886,f178]) ).
fof(f3558,plain,
( ~ sQ18_spl
| ~ sQ178_spl
| ~ sQ228_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f3553,f949,f2098,f886,f194]) ).
fof(f3559,definition,
( sQ239_spl
<=> greater(e_0,e_2) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f3561,plain,
( sQ239_spl
| ~ greater(e_0,e_2) ),
inference(component_clause,[status(thm)],[f3559]) ).
fof(f3562,plain,
( ~ sQ5_spl
| ~ sQ178_spl
| ~ sQ239_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f3554,f999,f3559,f886,f153]) ).
fof(f3563,plain,
( ~ sQ20_spl
| ~ sQ178_spl
| ~ sQ239_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f3555,f941,f3559,f886,f201]) ).
fof(f3564,plain,
( ~ sQ178_spl
| ~ sQ239_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f3556,f953,f3559,f886]) ).
fof(f3572,plain,
( ~ sQ12_spl
| ~ sQ176_spl
| ~ greater(e_2,e_1)
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f880,f176]) ).
fof(f3573,plain,
( ~ sQ18_spl
| ~ sQ176_spl
| ~ greater(e_3,e_1)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f880,f195]) ).
fof(f3574,plain,
( ~ sQ5_spl
| ~ sQ176_spl
| ~ greater(e_0,e_1)
| ~ greater(e_5,e_4) ),
inference(resolution,[status(thm)],[f880,f154]) ).
fof(f3575,plain,
( ~ sQ20_spl
| ~ sQ176_spl
| ~ greater(e_0,e_1)
| ~ greater(e_5,e_1) ),
inference(resolution,[status(thm)],[f880,f202]) ).
fof(f3576,plain,
( ~ sQ176_spl
| ~ greater(e_0,e_1)
| ~ greater(e_5,e_5) ),
inference(resolution,[status(thm)],[f880,f82]) ).
fof(f3577,plain,
( ~ sQ12_spl
| ~ sQ176_spl
| ~ sQ236_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f3572,f945,f2647,f879,f175]) ).
fof(f3578,plain,
( ~ sQ18_spl
| ~ sQ176_spl
| ~ sQ234_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f3573,f949,f2526,f879,f194]) ).
fof(f3579,definition,
( sQ240_spl
<=> greater(e_0,e_1) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f3581,plain,
( sQ240_spl
| ~ greater(e_0,e_1) ),
inference(component_clause,[status(thm)],[f3579]) ).
fof(f3582,plain,
( ~ sQ5_spl
| ~ sQ176_spl
| ~ sQ240_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f3574,f999,f3579,f879,f153]) ).
fof(f3583,plain,
( ~ sQ20_spl
| ~ sQ176_spl
| ~ sQ240_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f3575,f941,f3579,f879,f201]) ).
fof(f3584,plain,
( ~ sQ176_spl
| ~ sQ240_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f3576,f953,f3579,f879]) ).
fof(f3587,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f179,f86]) ).
fof(f3588,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f179,f84]) ).
fof(f3589,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f179,f80]) ).
fof(f3592,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ20_spl
| ~ greater(X1,e_3)
| ~ greater(e_1,X0)
| ~ next(e_1,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f906,f179]) ).
fof(f3593,plain,
! [X0,X1] :
( ~ sQ18_spl
| ~ sQ20_spl
| ~ greater(X1,e_3)
| ~ greater(e_1,X0)
| ~ next(e_1,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f906,f195]) ).
fof(f3594,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ20_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ next(e_1,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f906,f154]) ).
fof(f3597,definition,
! [X0,X1] :
( sQ241_spl
<=> ( ~ greater(X1,e_3)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f3598,plain,
! [X0,X1] :
( ~ sQ241_spl
| ~ greater(X1,e_3)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f3597]) ).
fof(f3600,definition,
( sQ242_spl
<=> next(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f3602,plain,
( sQ242_spl
| ~ next(e_1,e_3) ),
inference(component_clause,[status(thm)],[f3600]) ).
fof(f3603,plain,
( ~ sQ13_spl
| ~ sQ20_spl
| ~ sQ242_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f3592,f3597,f3600,f201,f178]) ).
fof(f3604,definition,
( sQ243_spl
<=> next(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f3606,plain,
( sQ243_spl
| ~ next(e_1,e_2) ),
inference(component_clause,[status(thm)],[f3604]) ).
fof(f3607,plain,
( ~ sQ18_spl
| ~ sQ20_spl
| ~ sQ243_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f3593,f3597,f3604,f201,f194]) ).
fof(f3608,definition,
( sQ244_spl
<=> next(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f3610,plain,
( sQ244_spl
| ~ next(e_1,e_4) ),
inference(component_clause,[status(thm)],[f3608]) ).
fof(f3611,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| ~ sQ244_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f3594,f913,f3608,f201,f153]) ).
fof(f3614,plain,
( sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3606,f60]) ).
fof(f3615,plain,
sQ243_spl,
inference(contradiction_clause,[status(thm)],[f3614]) ).
fof(f3616,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sQ12_spl
| ~ greater(X1,e_2)
| ~ greater(e_1,X0)
| ~ next(e_1,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f176,f906]) ).
fof(f3622,definition,
! [X0,X1] :
( sQ245_spl
<=> ( ~ greater(X1,e_2)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f3623,plain,
! [X0,X1] :
( ~ sQ245_spl
| ~ greater(X1,e_2)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f3622]) ).
fof(f3625,plain,
( ~ sQ20_spl
| ~ sQ12_spl
| ~ sQ242_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f3616,f3622,f3600,f175,f201]) ).
fof(f3631,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f179,f86]) ).
fof(f3632,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f179,f84]) ).
fof(f3633,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f179,f80]) ).
fof(f3637,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ20_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ next(e_4,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f910,f154]) ).
fof(f3640,definition,
( sQ246_spl
<=> next(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f3642,plain,
( sQ246_spl
| ~ next(e_4,e_1) ),
inference(component_clause,[status(thm)],[f3640]) ).
fof(f3643,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| ~ sQ246_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f3637,f771,f3640,f201,f153]) ).
fof(f3646,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ20_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f911,f179]) ).
fof(f3647,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ20_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f911,f195]) ).
fof(f3648,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ20_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f911,f154]) ).
fof(f3649,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f911,f202]) ).
fof(f3650,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_1) ),
inference(resolution,[status(thm)],[f911,f82]) ).
fof(f3651,definition,
( sQ247_spl
<=> next(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f3653,plain,
( sQ247_spl
| ~ next(e_3,e_1) ),
inference(component_clause,[status(thm)],[f3651]) ).
fof(f3654,plain,
( ~ sQ13_spl
| ~ sQ20_spl
| sQ167_spl
| ~ sQ166_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f3646,f3651,f815,f818,f201,f178]) ).
fof(f3655,definition,
( sQ248_spl
<=> next(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f3657,plain,
( sQ248_spl
| ~ next(e_2,e_1) ),
inference(component_clause,[status(thm)],[f3655]) ).
fof(f3658,plain,
( ~ sQ18_spl
| ~ sQ20_spl
| sQ167_spl
| ~ sQ166_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f3647,f3655,f815,f818,f201,f194]) ).
fof(f3659,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| sQ173_spl
| ~ sQ172_spl
| ~ sQ246_spl ),
inference(split_clause,[status(thm)],[f3648,f3640,f844,f847,f201,f153]) ).
fof(f3660,plain,
( ~ sQ20_spl
| sQ173_spl
| ~ sQ172_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f3649,f916,f844,f847,f201]) ).
fof(f3661,plain,
( ~ sQ20_spl
| sQ173_spl
| ~ sQ172_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f3650,f920,f844,f847,f201]) ).
fof(f3663,plain,
( ~ sQ13_spl
| ~ sQ181_spl
| ~ greater(e_3,e_0)
| ~ greater(e_1,e_3) ),
inference(resolution,[status(thm)],[f914,f179]) ).
fof(f3664,plain,
( ~ sQ18_spl
| ~ sQ181_spl
| ~ greater(e_3,e_0)
| ~ greater(e_1,e_2) ),
inference(resolution,[status(thm)],[f914,f195]) ).
fof(f3665,plain,
( ~ sQ5_spl
| ~ sQ181_spl
| ~ greater(e_0,e_0)
| ~ greater(e_1,e_4) ),
inference(resolution,[status(thm)],[f914,f154]) ).
fof(f3667,plain,
( ~ sQ181_spl
| ~ greater(e_0,e_0)
| ~ greater(e_1,e_5) ),
inference(resolution,[status(thm)],[f914,f82]) ).
fof(f3668,plain,
( ~ sQ13_spl
| ~ sQ181_spl
| ~ sQ166_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f3663,f1706,f815,f913,f178]) ).
fof(f3669,plain,
( ~ sQ18_spl
| ~ sQ181_spl
| ~ sQ166_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f3664,f2078,f815,f913,f194]) ).
fof(f3670,plain,
( ~ sQ5_spl
| ~ sQ181_spl
| ~ sQ172_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f3665,f1428,f844,f913,f153]) ).
fof(f3672,plain,
( ~ sQ181_spl
| ~ sQ172_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f3667,f1243,f844,f913]) ).
fof(f3674,plain,
( ~ sQ75_spl
| ~ sQ38_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f269,f1967]) ).
fof(f3682,plain,
( ~ sQ134_spl
| ~ sQ75_spl
| ~ sQ38_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f3674,f2921]) ).
fof(f3685,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ sQ38_spl
| equalish(e_3,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f3674,f89]) ).
fof(f3686,plain,
( ~ sQ75_spl
| ~ sQ38_spl
| ~ greater(e_3,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f3674,f87]) ).
fof(f3687,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f3674,f121]) ).
fof(f3688,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ38_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f3674,f119]) ).
fof(f3689,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f3674,f117]) ).
fof(f3690,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ38_spl
| product(X0,e_3,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f3674,f124]) ).
fof(f3691,plain,
( ~ sQ75_spl
| ~ sQ38_spl
| sQ204_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f3685,f1369,f1400,f268,f397]) ).
fof(f3692,plain,
( ~ sQ75_spl
| ~ sQ38_spl
| ~ sQ205_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3686,f153,f1404,f268,f397]) ).
fof(f3694,plain,
( ~ sQ38_spl
| ~ sQ134_spl
| ~ sQ75_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f3682,f1293]) ).
fof(f3709,plain,
( ~ sQ190_spl
| ~ greater(e_0,e_0) ),
inference(resolution,[status(thm)],[f1159,f82]) ).
fof(f3710,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ5_spl
| ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ next(e_4,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f766,f179]) ).
fof(f3711,plain,
! [X0,X1] :
( ~ sQ18_spl
| ~ sQ5_spl
| ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ next(e_4,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f766,f195]) ).
fof(f3715,definition,
! [X0,X1] :
( sQ249_spl
<=> ( ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f3716,plain,
! [X0,X1] :
( ~ sQ249_spl
| ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f3715]) ).
fof(f3718,definition,
( sQ250_spl
<=> next(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f3720,plain,
( sQ250_spl
| ~ next(e_4,e_3) ),
inference(component_clause,[status(thm)],[f3718]) ).
fof(f3721,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ250_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f3710,f3715,f3718,f153,f178]) ).
fof(f3722,definition,
( sQ251_spl
<=> next(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f3724,plain,
( sQ251_spl
| ~ next(e_4,e_2) ),
inference(component_clause,[status(thm)],[f3722]) ).
fof(f3725,plain,
( ~ sQ18_spl
| ~ sQ5_spl
| ~ sQ251_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f3711,f3715,f3722,f153,f194]) ).
fof(f3735,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ5_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f769,f179]) ).
fof(f3736,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ5_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f769,f195]) ).
fof(f3737,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f769,f154]) ).
fof(f3738,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ5_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f769,f202]) ).
fof(f3739,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_4) ),
inference(resolution,[status(thm)],[f769,f82]) ).
fof(f3740,definition,
( sQ252_spl
<=> next(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f3742,plain,
( sQ252_spl
| ~ next(e_3,e_4) ),
inference(component_clause,[status(thm)],[f3740]) ).
fof(f3743,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| sQ167_spl
| ~ sQ166_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f3735,f3740,f815,f818,f153,f178]) ).
fof(f3744,definition,
( sQ253_spl
<=> next(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f3746,plain,
( sQ253_spl
| ~ next(e_2,e_4) ),
inference(component_clause,[status(thm)],[f3744]) ).
fof(f3747,plain,
( ~ sQ18_spl
| ~ sQ5_spl
| sQ167_spl
| ~ sQ166_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f3736,f3744,f815,f818,f153,f194]) ).
fof(f3748,plain,
( ~ sQ5_spl
| sQ173_spl
| ~ sQ172_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f3737,f774,f844,f847,f153]) ).
fof(f3749,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| sQ173_spl
| ~ sQ172_spl
| ~ sQ244_spl ),
inference(split_clause,[status(thm)],[f3738,f3608,f844,f847,f153,f201]) ).
fof(f3750,plain,
( ~ sQ5_spl
| sQ173_spl
| ~ sQ172_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f3739,f875,f844,f847,f153]) ).
fof(f3751,plain,
( sQ252_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3742,f62]) ).
fof(f3752,plain,
sQ252_spl,
inference(contradiction_clause,[status(thm)],[f3751]) ).
fof(f3753,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ12_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f176,f769]) ).
fof(f3754,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ12_spl
| ~ greater(X1,e_2)
| ~ greater(e_4,X0)
| ~ next(e_4,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f176,f766]) ).
fof(f3755,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ12_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f176,f911]) ).
fof(f3762,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| sQ165_spl
| ~ sQ164_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f3753,f3740,f808,f811,f175,f153]) ).
fof(f3763,definition,
! [X0,X1] :
( sQ254_spl
<=> ( ~ greater(X1,e_2)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f3764,plain,
! [X0,X1] :
( ~ sQ254_spl
| ~ greater(X1,e_2)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f3763]) ).
fof(f3766,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| ~ sQ250_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f3754,f3763,f3718,f175,f153]) ).
fof(f3767,plain,
( ~ sQ20_spl
| ~ sQ12_spl
| sQ165_spl
| ~ sQ164_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f3755,f3651,f808,f811,f175,f201]) ).
fof(f3771,plain,
( sQ72_spl
| ~ sQ75_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f384,f3674]) ).
fof(f3772,plain,
( sQ72_spl
| ~ sQ75_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f3771]) ).
fof(f3773,plain,
( ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2908,f103]) ).
fof(f3774,plain,
~ sQ135_spl,
inference(contradiction_clause,[status(thm)],[f3773]) ).
fof(f3775,plain,
( ~ sQ69_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2481,f110]) ).
fof(f3776,plain,
( ~ sQ69_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f3775]) ).
fof(f3777,plain,
( ~ sQ69_spl
| ~ sQ107_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f2433,f406,f504,f372]) ).
fof(f3778,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1522,f105]) ).
fof(f3779,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f3778]) ).
fof(f3780,plain,
( ~ sQ102_spl
| ~ sQ61_spl
| ~ sQ84_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1806,f2586]) ).
fof(f3784,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ84_spl
| product(X0,e_4,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1806,f124]) ).
fof(f3785,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ100_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f2595,f121]) ).
fof(f3786,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ100_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f2595,f119]) ).
fof(f3787,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ100_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f2595,f117]) ).
fof(f3788,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ100_spl
| product(X0,e_5,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2595,f124]) ).
fof(f3801,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ61_spl
| ~ sQ84_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f3780,f121]) ).
fof(f3802,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ61_spl
| ~ sQ84_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f3780,f119]) ).
fof(f3803,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ61_spl
| ~ sQ84_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f3780,f117]) ).
fof(f3808,plain,
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ102_spl
| ~ sQ100_spl
| ~ sQ43_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2659,f2582]) ).
fof(f3810,plain,
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ102_spl
| ~ sQ100_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3808,f103]) ).
fof(f3811,plain,
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ102_spl
| ~ sQ100_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f3810]) ).
fof(f3825,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f86]) ).
fof(f3826,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f84]) ).
fof(f3827,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f195,f80]) ).
fof(f3834,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ10_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ next(e_3,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f170,f768]) ).
fof(f3835,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sQ10_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ next(e_3,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f170,f910]) ).
fof(f3840,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ10_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f170,f769]) ).
fof(f3841,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ10_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ next(e_4,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f170,f766]) ).
fof(f3842,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ10_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f170,f911]) ).
fof(f3843,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sQ10_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ next(e_1,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f170,f906]) ).
fof(f3850,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| ~ sQ252_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f3834,f745,f3740,f169,f153]) ).
fof(f3851,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| ~ sQ247_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f3835,f745,f3651,f169,f201]) ).
fof(f3855,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| sQ173_spl
| ~ sQ172_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f3840,f3740,f844,f847,f169,f153]) ).
fof(f3856,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| ~ sQ250_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f3841,f771,f3718,f169,f153]) ).
fof(f3857,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| sQ173_spl
| ~ sQ172_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f3842,f3651,f844,f847,f169,f201]) ).
fof(f3858,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| ~ sQ242_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f3843,f913,f3600,f169,f201]) ).
fof(f3862,plain,
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ100_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f2599,f1806]) ).
fof(f3863,plain,
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ100_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f3862,f379,f482,f425,f347]) ).
fof(f3875,plain,
( ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f3198,f2663]) ).
fof(f3876,plain,
( ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| ~ sQ131_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f3067,f2663]) ).
fof(f3877,plain,
( ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| ~ sQ131_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f3876,f530,f586,f284,f379,f482]) ).
fof(f3879,plain,
( ~ sQ43_spl
| ~ sQ100_spl
| ~ sQ71_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f3875,f1259]) ).
fof(f3880,plain,
( ~ sQ75_spl
| ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f3875,f1964]) ).
fof(f3881,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f3875,f121]) ).
fof(f3882,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f3875,f119]) ).
fof(f3883,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| equalish(X0,e_1)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f3875,f117]) ).
fof(f3884,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| product(X0,e_1,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f3875,f124]) ).
fof(f3885,plain,
( ~ sQ75_spl
| ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3880,f100]) ).
fof(f3886,plain,
( ~ sQ75_spl
| ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f3885]) ).
fof(f3888,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ102_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f2582,f1474]) ).
fof(f3893,plain,
( ~ sQ84_spl
| ~ sQ102_spl
| ~ sQ61_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f3780,f1811]) ).
fof(f3898,plain,
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ64_spl
| ~ sQ102_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f3888,f2464]) ).
fof(f3899,plain,
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ102_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f3888,f2489]) ).
fof(f3900,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f3888,f121]) ).
fof(f3901,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f3888,f119]) ).
fof(f3902,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ102_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f3888,f127]) ).
fof(f3903,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ102_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f3888,f117]) ).
fof(f3904,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ102_spl
| product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f3888,f125]) ).
fof(f3905,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ102_spl
| product(X0,e_4,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f3888,f124]) ).
fof(f3906,plain,
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ64_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3898,f112]) ).
fof(f3907,plain,
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ64_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f3906]) ).
fof(f3923,plain,
( ~ sQ84_spl
| ~ sQ102_spl
| ~ sQ61_spl
| ~ sQ127_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f3089,f3893]) ).
fof(f3924,plain,
( ~ sQ84_spl
| ~ sQ102_spl
| ~ sQ61_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3923,f99]) ).
fof(f3925,plain,
( ~ sQ84_spl
| ~ sQ102_spl
| ~ sQ61_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f3924]) ).
fof(f3928,plain,
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ28_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f237,f2489]) ).
fof(f3929,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f237,f121]) ).
fof(f3930,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f237,f119]) ).
fof(f3931,plain,
( ~ sQ28_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f237,f127]) ).
fof(f3932,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f237,f117]) ).
fof(f3933,plain,
( ~ sQ28_spl
| product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f237,f125]) ).
fof(f3934,plain,
! [X0] :
( ~ sQ28_spl
| product(X0,e_4,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f237,f124]) ).
fof(f3937,plain,
( ~ sQ90_spl
| ~ sQ114_spl
| ~ sQ27_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f234,f2382]) ).
fof(f3938,plain,
( ~ sQ102_spl
| ~ sQ27_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f234,f2583]) ).
fof(f3939,plain,
( ~ sQ127_spl
| ~ sQ27_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f234,f3089]) ).
fof(f3940,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f234,f121]) ).
fof(f3941,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f234,f119]) ).
fof(f3942,plain,
( ~ sQ27_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f234,f127]) ).
fof(f3943,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f234,f117]) ).
fof(f3944,plain,
( ~ sQ27_spl
| product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f234,f125]) ).
fof(f3945,plain,
! [X0] :
( ~ sQ27_spl
| product(X0,e_3,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f234,f124]) ).
fof(f3946,plain,
( ~ sQ90_spl
| ~ sQ114_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3937,f111]) ).
fof(f3947,plain,
( ~ sQ90_spl
| ~ sQ114_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f3946]) ).
fof(f3949,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f231,f121]) ).
fof(f3950,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f231,f119]) ).
fof(f3951,plain,
( ~ sQ26_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f231,f127]) ).
fof(f3952,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f231,f117]) ).
fof(f3953,plain,
( ~ sQ26_spl
| product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f231,f125]) ).
fof(f3954,plain,
! [X0] :
( ~ sQ26_spl
| product(X0,e_2,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f231,f124]) ).
fof(f3958,plain,
( ~ sQ50_spl
| ~ sQ25_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f228,f1583]) ).
fof(f3959,plain,
( ~ sQ75_spl
| ~ sQ25_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f228,f1964]) ).
fof(f3960,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f228,f121]) ).
fof(f3961,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f228,f119]) ).
fof(f3962,plain,
( ~ sQ25_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f228,f127]) ).
fof(f3963,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_1)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f228,f117]) ).
fof(f3964,plain,
( ~ sQ25_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f228,f125]) ).
fof(f3965,plain,
! [X0] :
( ~ sQ25_spl
| product(X0,e_1,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f228,f124]) ).
fof(f3969,plain,
( ~ sQ114_spl
| ~ sQ90_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f446,f2375]) ).
fof(f3971,plain,
( ~ sQ75_spl
| ~ sQ90_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f446,f1965]) ).
fof(f3977,plain,
( ~ sQ114_spl
| ~ sQ90_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f3969,f570,f445,f526]) ).
fof(f3978,plain,
( ~ sQ75_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3971,f102]) ).
fof(f3979,plain,
( ~ sQ75_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f3978]) ).
fof(f3982,plain,
( ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2365,f95]) ).
fof(f3983,plain,
~ sQ115_spl,
inference(contradiction_clause,[status(thm)],[f3982]) ).
fof(f3984,plain,
( ~ sQ143_spl
| ~ sQ36_spl
| ~ sQ75_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1962,f2732]) ).
fof(f3988,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| product(X0,e_5,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1962,f124]) ).
fof(f3989,plain,
( ~ sQ143_spl
| ~ sQ36_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3984,f114]) ).
fof(f3990,plain,
( ~ sQ143_spl
| ~ sQ36_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f3989]) ).
fof(f3996,plain,
( ~ sQ102_spl
| ~ sQ122_spl
| ~ sQ36_spl
| ~ sQ75_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f2239,f2584]) ).
fof(f3997,plain,
( ~ sQ107_spl
| ~ sQ122_spl
| ~ sQ36_spl
| ~ sQ75_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2239,f2435]) ).
fof(f4000,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ36_spl
| ~ sQ75_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2239,f121]) ).
fof(f4001,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ36_spl
| ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2239,f119]) ).
fof(f4002,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ36_spl
| ~ sQ75_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2239,f117]) ).
fof(f4004,plain,
( ~ sQ102_spl
| ~ sQ122_spl
| ~ sQ36_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3996,f98]) ).
fof(f4005,plain,
( ~ sQ102_spl
| ~ sQ122_spl
| ~ sQ36_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f4004]) ).
fof(f4006,plain,
( ~ sQ107_spl
| ~ sQ122_spl
| ~ sQ36_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3997,f97]) ).
fof(f4007,plain,
( ~ sQ107_spl
| ~ sQ122_spl
| ~ sQ36_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f4006]) ).
fof(f4020,plain,
( ~ sQ122_spl
| ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ144_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f2727,f2239]) ).
fof(f4030,plain,
( ~ sQ138_spl
| ~ sQ96_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f465,f2766]) ).
fof(f4032,plain,
( ~ sQ71_spl
| ~ sQ96_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f465,f1411]) ).
fof(f4040,plain,
( ~ sQ71_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4032,f105]) ).
fof(f4041,plain,
( ~ sQ71_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f4040]) ).
fof(f4044,plain,
! [X0] :
( ~ sQ138_spl
| ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f4030,f121]) ).
fof(f4045,plain,
! [X0] :
( ~ sQ138_spl
| ~ sQ96_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f4030,f119]) ).
fof(f4046,plain,
! [X0] :
( ~ sQ138_spl
| ~ sQ96_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f4030,f117]) ).
fof(f4047,plain,
! [X0] :
( ~ sQ138_spl
| ~ sQ96_spl
| product(X0,e_1,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f4030,f124]) ).
fof(f4051,plain,
( ~ sQ138_spl
| ~ sQ96_spl
| ~ sQ65_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f1467,f4030]) ).
fof(f4052,plain,
( ~ sQ138_spl
| ~ sQ96_spl
| ~ sQ65_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f4051,f640,f360,f464,f608]) ).
fof(f4053,plain,
( ~ sQ96_spl
| ~ sQ136_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f2781,f465]) ).
fof(f4054,plain,
( ~ sQ96_spl
| ~ sQ136_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f4053,f530,f602,f464]) ).
fof(f4055,plain,
( ~ sQ138_spl
| ~ sQ96_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f4030,f498,f464,f608]) ).
fof(f4060,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ84_spl
| product(X0,e_4,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1806,f124]) ).
fof(f4065,plain,
( ~ sQ51_spl
| ~ sQ102_spl
| ~ sQ61_spl
| ~ sQ84_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f3780,f1579]) ).
fof(f4070,plain,
( ~ sQ51_spl
| ~ sQ102_spl
| ~ sQ61_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4065,f106]) ).
fof(f4071,plain,
( ~ sQ51_spl
| ~ sQ102_spl
| ~ sQ61_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f4070]) ).
fof(f4091,plain,
( ~ sQ96_spl
| ~ sQ139_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f2761,f465]) ).
fof(f4092,plain,
( ~ sQ96_spl
| ~ sQ139_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f4091,f482,f611,f464]) ).
fof(f4093,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3962,f98]) ).
fof(f4094,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f4093]) ).
fof(f4095,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3931,f110]) ).
fof(f4096,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f4095]) ).
fof(f4097,plain,
( ~ sQ10_spl
| ~ sQ159_spl
| ~ greater(e_0,e_0)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f772,f170]) ).
fof(f4098,plain,
( ~ sQ18_spl
| ~ sQ159_spl
| ~ greater(e_3,e_0)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f772,f195]) ).
fof(f4099,plain,
( ~ sQ5_spl
| ~ sQ159_spl
| ~ greater(e_0,e_0)
| ~ greater(e_4,e_4) ),
inference(resolution,[status(thm)],[f772,f154]) ).
fof(f4102,plain,
( ~ sQ10_spl
| ~ sQ159_spl
| ~ sQ172_spl
| ~ sQ211_spl ),
inference(split_clause,[status(thm)],[f4097,f1611,f844,f771,f169]) ).
fof(f4103,plain,
( ~ sQ18_spl
| ~ sQ159_spl
| ~ sQ166_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f4098,f1994,f815,f771,f194]) ).
fof(f4104,plain,
( ~ sQ5_spl
| ~ sQ159_spl
| ~ sQ172_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f4099,f1388,f844,f771,f153]) ).
fof(f4109,plain,
( ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2605,f111]) ).
fof(f4110,plain,
~ sQ149_spl,
inference(contradiction_clause,[status(thm)],[f4109]) ).
fof(f4111,plain,
( ~ sQ159_spl
| ~ sQ19_spl
| ~ greater(e_4,e_0)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f198,f772]) ).
fof(f4112,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ19_spl
| equalish(e_4,X0)
| ~ next(e_0,X0)
| ~ greater(e_4,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f198,f769]) ).
fof(f4113,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ19_spl
| ~ greater(X1,e_4)
| ~ greater(e_4,X0)
| ~ next(e_4,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f198,f766]) ).
fof(f4114,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ19_spl
| equalish(e_4,X0)
| ~ next(e_0,X0)
| ~ greater(e_4,e_0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f198,f911]) ).
fof(f4115,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sQ19_spl
| ~ greater(X1,e_4)
| ~ greater(e_1,X0)
| ~ next(e_1,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f198,f906]) ).
fof(f4121,plain,
( ~ sQ159_spl
| ~ sQ19_spl
| ~ sQ168_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f4111,f1994,f822,f197,f771]) ).
fof(f4122,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sQ169_spl
| ~ sQ168_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f4112,f3744,f822,f825,f197,f153]) ).
fof(f4123,definition,
! [X0,X1] :
( sQ255_spl
<=> ( ~ greater(X1,e_4)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f4124,plain,
! [X0,X1] :
( ~ sQ255_spl
| ~ greater(X1,e_4)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f4123]) ).
fof(f4126,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| ~ sQ251_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f4113,f4123,f3722,f197,f153]) ).
fof(f4127,plain,
( ~ sQ20_spl
| ~ sQ19_spl
| sQ169_spl
| ~ sQ168_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f4114,f3655,f822,f825,f197,f201]) ).
fof(f4128,definition,
! [X0,X1] :
( sQ256_spl
<=> ( ~ greater(X1,e_4)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f4129,plain,
! [X0,X1] :
( ~ sQ256_spl
| ~ greater(X1,e_4)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f4128]) ).
fof(f4131,plain,
( ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ243_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f4115,f4128,f3604,f197,f201]) ).
fof(f4134,plain,
( ~ sQ159_spl
| ~ sQ17_spl
| ~ greater(e_2,e_0)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f192,f772]) ).
fof(f4135,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ17_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f192,f769]) ).
fof(f4136,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ17_spl
| ~ greater(X1,e_2)
| ~ greater(e_4,X0)
| ~ next(e_4,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f192,f766]) ).
fof(f4137,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ17_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f192,f911]) ).
fof(f4138,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sQ17_spl
| ~ greater(X1,e_2)
| ~ greater(e_1,X0)
| ~ next(e_1,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f192,f906]) ).
fof(f4144,plain,
( ~ sQ159_spl
| ~ sQ17_spl
| ~ sQ164_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f4134,f1994,f808,f191,f771]) ).
fof(f4145,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sQ165_spl
| ~ sQ164_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f4135,f3744,f808,f811,f191,f153]) ).
fof(f4146,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| ~ sQ251_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f4136,f3763,f3722,f191,f153]) ).
fof(f4147,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| sQ165_spl
| ~ sQ164_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f4137,f3655,f808,f811,f191,f201]) ).
fof(f4148,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| ~ sQ243_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f4138,f3622,f3604,f191,f201]) ).
fof(f4151,plain,
( ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1792,f100]) ).
fof(f4152,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f4151]) ).
fof(f4153,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ11_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f173,f911]) ).
fof(f4154,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sQ11_spl
| ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ next(e_1,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f173,f906]) ).
fof(f4157,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f173,f86]) ).
fof(f4158,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f173,f84]) ).
fof(f4159,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_1)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f173,f80]) ).
fof(f4160,plain,
( ~ sQ20_spl
| ~ sQ11_spl
| sQ163_spl
| ~ sQ162_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f4153,f3651,f801,f804,f172,f201]) ).
fof(f4161,definition,
! [X0,X1] :
( sQ257_spl
<=> ( ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f4162,plain,
! [X0,X1] :
( ~ sQ257_spl
| ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f4161]) ).
fof(f4164,plain,
( ~ sQ20_spl
| ~ sQ11_spl
| ~ sQ242_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f4154,f4161,f3600,f172,f201]) ).
fof(f4167,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ6_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f157,f911]) ).
fof(f4168,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sQ6_spl
| ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ next(e_1,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f157,f906]) ).
fof(f4169,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ greater(X1,e_1)
| ~ greater(e_5,X0)
| ~ next(e_5,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f157,f651]) ).
fof(f4174,plain,
( ~ sQ20_spl
| ~ sQ6_spl
| sQ163_spl
| ~ sQ162_spl
| ~ sQ246_spl ),
inference(split_clause,[status(thm)],[f4167,f3640,f801,f804,f156,f201]) ).
fof(f4175,plain,
( ~ sQ20_spl
| ~ sQ6_spl
| ~ sQ244_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f4168,f4161,f3608,f156,f201]) ).
fof(f4176,plain,
( ~ sQ6_spl
| ~ sQ175_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f4169,f879,f875,f156]) ).
fof(f4178,plain,
( ~ sQ132_spl
| ~ sQ100_spl
| ~ sQ43_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2655,f3059]) ).
fof(f4179,plain,
( ~ sQ72_spl
| ~ sQ100_spl
| ~ sQ43_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f2655,f1399]) ).
fof(f4180,plain,
( ~ sQ144_spl
| ~ sQ100_spl
| ~ sQ43_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2655,f2725]) ).
fof(f4185,plain,
( ~ sQ132_spl
| ~ sQ100_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4178,f113]) ).
fof(f4186,plain,
( ~ sQ132_spl
| ~ sQ100_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f4185]) ).
fof(f4187,plain,
( ~ sQ144_spl
| ~ sQ100_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4180,f108]) ).
fof(f4188,plain,
( ~ sQ144_spl
| ~ sQ100_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f4187]) ).
fof(f4192,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ100_spl
| ~ sQ43_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f4179,f121]) ).
fof(f4193,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ100_spl
| ~ sQ43_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f4179,f119]) ).
fof(f4194,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ100_spl
| ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f4179,f117]) ).
fof(f4195,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ100_spl
| ~ sQ43_spl
| product(X0,e_4,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f4179,f124]) ).
fof(f4199,plain,
( ~ sQ72_spl
| ~ sQ100_spl
| ~ sQ43_spl
| ~ sQ76_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f1959,f4179]) ).
fof(f4200,plain,
( ~ sQ72_spl
| ~ sQ100_spl
| ~ sQ43_spl
| ~ sQ76_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f4199,f366,f400,f284,f482,f382]) ).
fof(f4201,plain,
( ~ sQ100_spl
| ~ sQ43_spl
| ~ sQ74_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f1368,f2655]) ).
fof(f4202,plain,
( ~ sQ100_spl
| ~ sQ43_spl
| ~ sQ74_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f4201,f236,f388,f284,f482]) ).
fof(f4204,plain,
( ~ sQ51_spl
| ~ sQ31_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f247,f1581]) ).
fof(f4206,plain,
( ~ sQ131_spl
| ~ sQ31_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f247,f3064]) ).
fof(f4212,plain,
( ~ sQ51_spl
| ~ sQ31_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f4204,f539,f246,f315]) ).
fof(f4213,plain,
( ~ sQ131_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4206,f111]) ).
fof(f4214,plain,
( ~ sQ131_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f4213]) ).
fof(f4215,plain,
( ~ sQ31_spl
| ~ sQ52_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1574,f247]) ).
fof(f4216,plain,
( ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ52_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f4215,f2417]) ).
fof(f4217,plain,
( ~ sQ94_spl
| ~ sQ31_spl
| ~ sQ52_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f4215,f1733]) ).
fof(f4218,plain,
( ~ sQ103_spl
| ~ sQ31_spl
| ~ sQ52_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f4215,f2578]) ).
fof(f4219,plain,
( ~ sQ138_spl
| ~ sQ31_spl
| ~ sQ52_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f4215,f2763]) ).
fof(f4220,plain,
( ~ sQ38_spl
| ~ sQ31_spl
| ~ sQ52_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f4215,f1290]) ).
fof(f4221,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ52_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f4215,f121]) ).
fof(f4222,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f4215,f119]) ).
fof(f4223,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ52_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f4215,f117]) ).
fof(f4224,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ52_spl
| product(X0,e_4,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f4215,f124]) ).
fof(f4225,plain,
( ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4216,f107]) ).
fof(f4226,plain,
( ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f4225]) ).
fof(f4227,plain,
( ~ sQ103_spl
| ~ sQ31_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4218,f106]) ).
fof(f4228,plain,
( ~ sQ103_spl
| ~ sQ31_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f4227]) ).
fof(f4229,plain,
( ~ sQ138_spl
| ~ sQ31_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4219,f99]) ).
fof(f4230,plain,
( ~ sQ138_spl
| ~ sQ31_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f4229]) ).
fof(f4231,plain,
( ~ sQ38_spl
| ~ sQ31_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4220,f102]) ).
fof(f4232,plain,
( ~ sQ38_spl
| ~ sQ31_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f4231]) ).
fof(f4233,plain,
( ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3951,f102]) ).
fof(f4234,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f4233]) ).
fof(f4235,plain,
( ~ sQ76_spl
| ~ sQ38_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f269,f1959]) ).
fof(f4237,plain,
( ~ sQ43_spl
| ~ sQ38_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f269,f1257]) ).
fof(f4244,plain,
( ~ sQ43_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4237,f104]) ).
fof(f4245,plain,
( ~ sQ43_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f4244]) ).
fof(f4254,plain,
( ~ sQ105_spl
| ~ sQ65_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f361,f2450]) ).
fof(f4261,plain,
( ~ sQ105_spl
| ~ sQ65_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f4254,f634,f360,f498]) ).
fof(f4262,plain,
( ~ sQ65_spl
| ~ sQ76_spl
| ~ sQ38_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f4235,f1466]) ).
fof(f4263,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f4235,f121]) ).
fof(f4264,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ38_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f4235,f119]) ).
fof(f4265,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f4235,f117]) ).
fof(f4266,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ38_spl
| product(X0,e_3,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f4235,f124]) ).
fof(f4267,plain,
( ~ sQ65_spl
| ~ sQ76_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4262,f103]) ).
fof(f4268,plain,
( ~ sQ65_spl
| ~ sQ76_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f4267]) ).
fof(f4272,plain,
( ~ sQ64_spl
| ~ sQ32_spl
| ~ sQ50_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1582,f1471]) ).
fof(f4276,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ50_spl
| product(X0,e_5,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1582,f124]) ).
fof(f4277,plain,
( ~ sQ64_spl
| ~ sQ32_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4272,f97]) ).
fof(f4278,plain,
( ~ sQ64_spl
| ~ sQ32_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f4277]) ).
fof(f4294,plain,
( ~ sQ127_spl
| ~ sQ69_spl
| ~ sQ105_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2446,f3091]) ).
fof(f4295,plain,
( ~ sQ143_spl
| ~ sQ69_spl
| ~ sQ105_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2446,f2731]) ).
fof(f4299,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ105_spl
| product(X0,e_4,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2446,f124]) ).
fof(f4300,plain,
( ~ sQ127_spl
| ~ sQ69_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4294,f109]) ).
fof(f4301,plain,
( ~ sQ127_spl
| ~ sQ69_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f4300]) ).
fof(f4302,plain,
( ~ sQ143_spl
| ~ sQ69_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4295,f112]) ).
fof(f4303,plain,
( ~ sQ143_spl
| ~ sQ69_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f4302]) ).
fof(f4320,plain,
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ138_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f2766,f2975]) ).
fof(f4322,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ138_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f4320,f121]) ).
fof(f4323,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ138_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f4320,f119]) ).
fof(f4324,plain,
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ138_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f4320,f127]) ).
fof(f4325,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ138_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f4320,f117]) ).
fof(f4326,plain,
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ138_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f4320,f125]) ).
fof(f4327,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ138_spl
| product(X0,e_1,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f4320,f124]) ).
fof(f4328,plain,
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ138_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4324,f97]) ).
fof(f4329,plain,
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ138_spl ),
inference(contradiction_clause,[status(thm)],[f4328]) ).
fof(f4332,plain,
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ46_spl
| ~ sQ76_spl
| ~ sQ38_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f4265,f2976]) ).
fof(f4334,plain,
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ46_spl
| ~ sQ76_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4332,f113]) ).
fof(f4335,plain,
( ~ sQ69_spl
| ~ sQ105_spl
| ~ sQ46_spl
| ~ sQ76_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f4334]) ).
fof(f4343,plain,
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ136_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f2781,f2975]) ).
fof(f4344,plain,
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| ~ sQ136_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f4343,f360,f602,f312,f249,f470]) ).
fof(f4345,plain,
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f2129,f2975]) ).
fof(f4349,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ32_spl
| ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f4345,f117]) ).
fof(f4354,plain,
( ~ sQ76_spl
| ~ sQ38_spl
| ~ sQ107_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f2437,f4235]) ).
fof(f4355,plain,
( ~ sQ76_spl
| ~ sQ38_spl
| ~ sQ107_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f4354,f432,f504,f268,f400]) ).
fof(f4356,plain,
( ~ sQ76_spl
| ~ sQ38_spl
| ~ sQ105_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f2450,f4235]) ).
fof(f4357,plain,
( ~ sQ76_spl
| ~ sQ38_spl
| ~ sQ105_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f4356,f464,f498,f268,f400]) ).
fof(f4358,plain,
( ~ sQ76_spl
| ~ sQ38_spl
| ~ sQ109_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f2423,f4235]) ).
fof(f4360,plain,
( ~ sQ38_spl
| ~ sQ76_spl
| ~ sQ109_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f4358,f1293]) ).
fof(f4368,plain,
( ~ sQ124_spl
| ~ sQ38_spl
| ~ sQ76_spl
| ~ sQ109_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f4360,f1973]) ).
fof(f4369,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ76_spl
| ~ sQ109_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4360,f121]) ).
fof(f4370,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ76_spl
| ~ sQ109_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f4360,f119]) ).
fof(f4371,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ76_spl
| ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f4360,f117]) ).
fof(f4373,plain,
( ~ sQ124_spl
| ~ sQ38_spl
| ~ sQ76_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4368,f107]) ).
fof(f4374,plain,
( ~ sQ124_spl
| ~ sQ38_spl
| ~ sQ76_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f4373]) ).
fof(f4376,plain,
( ~ sQ124_spl
| ~ sQ126_spl
| ~ sQ90_spl
| ~ sQ114_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f3113,f1973]) ).
fof(f4381,plain,
( ~ sQ124_spl
| ~ sQ126_spl
| ~ sQ90_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4376,f103]) ).
fof(f4382,plain,
( ~ sQ124_spl
| ~ sQ126_spl
| ~ sQ90_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f4381]) ).
fof(f4386,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ84_spl
| product(X0,e_4,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1806,f124]) ).
fof(f4391,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ50_spl
| product(X0,e_5,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1582,f124]) ).
fof(f4412,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ17_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f708,f157]) ).
fof(f4413,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ17_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f708,f173]) ).
fof(f4414,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f708,f192]) ).
fof(f4415,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ17_spl
| equalish(e_0,X0)
| ~ next(e_2,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f708,f202]) ).
fof(f4416,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_0,X0)
| ~ next(e_2,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_2) ),
inference(resolution,[status(thm)],[f708,f82]) ).
fof(f4417,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sQ223_spl
| ~ sQ162_spl
| ~ sQ251_spl ),
inference(split_clause,[status(thm)],[f4412,f3722,f801,f2074,f191,f156]) ).
fof(f4418,definition,
( sQ258_spl
<=> next(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f4420,plain,
( sQ258_spl
| ~ next(e_3,e_2) ),
inference(component_clause,[status(thm)],[f4418]) ).
fof(f4421,plain,
( ~ sQ11_spl
| ~ sQ17_spl
| sQ223_spl
| ~ sQ162_spl
| ~ sQ258_spl ),
inference(split_clause,[status(thm)],[f4413,f4418,f801,f2074,f191,f172]) ).
fof(f4422,plain,
( ~ sQ17_spl
| sQ229_spl
| ~ sQ164_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f4414,f722,f808,f2106,f191]) ).
fof(f4423,definition,
! [X0] :
( sQ259_spl
<=> ( equalish(e_0,X0)
| ~ next(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f4424,plain,
! [X0] :
( ~ sQ259_spl
| equalish(e_0,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f4423]) ).
fof(f4426,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| sQ259_spl
| ~ sQ172_spl
| ~ sQ243_spl ),
inference(split_clause,[status(thm)],[f4415,f3604,f844,f4423,f191,f201]) ).
fof(f4427,plain,
( ~ sQ17_spl
| sQ259_spl
| ~ sQ172_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f4416,f895,f844,f4423,f191]) ).
fof(f4449,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ105_spl
| product(X0,e_4,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2446,f124]) ).
fof(f4493,plain,
( ~ sQ124_spl
| ~ sQ142_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f2739,f559]) ).
fof(f4498,plain,
( ~ sQ76_spl
| ~ sQ124_spl
| ~ sQ142_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f4493,f1959]) ).
fof(f4499,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ142_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f4493,f121]) ).
fof(f4500,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ142_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f4493,f119]) ).
fof(f4501,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ142_spl
| equalish(X0,e_1)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f4493,f117]) ).
fof(f4502,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ142_spl
| product(X0,e_1,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f4493,f124]) ).
fof(f4503,plain,
( ~ sQ124_spl
| ~ sQ76_spl
| ~ sQ142_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f4498,f1975]) ).
fof(f4504,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ124_spl
| ~ sQ142_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f4498,f121]) ).
fof(f4505,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ124_spl
| ~ sQ142_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f4498,f119]) ).
fof(f4506,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ124_spl
| ~ sQ142_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f4498,f117]) ).
fof(f4548,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ11_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f737,f157]) ).
fof(f4549,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f737,f173]) ).
fof(f4550,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ11_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f737,f192]) ).
fof(f4551,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ11_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f737,f202]) ).
fof(f4552,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_3) ),
inference(resolution,[status(thm)],[f737,f82]) ).
fof(f4553,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| sQ154_spl
| ~ sQ162_spl
| ~ sQ250_spl ),
inference(split_clause,[status(thm)],[f4548,f3718,f801,f670,f172,f156]) ).
fof(f4554,plain,
( ~ sQ11_spl
| sQ154_spl
| ~ sQ162_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f4549,f748,f801,f670,f172]) ).
fof(f4555,definition,
( sQ260_spl
<=> next(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f4557,plain,
( sQ260_spl
| ~ next(e_2,e_3) ),
inference(component_clause,[status(thm)],[f4555]) ).
fof(f4558,plain,
( ~ sQ17_spl
| ~ sQ11_spl
| sQ235_spl
| ~ sQ164_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f4550,f4555,f808,f2643,f172,f191]) ).
fof(f4559,definition,
! [X0] :
( sQ261_spl
<=> ( equalish(e_0,X0)
| ~ next(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f4560,plain,
! [X0] :
( ~ sQ261_spl
| equalish(e_0,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f4559]) ).
fof(f4562,plain,
( ~ sQ20_spl
| ~ sQ11_spl
| sQ261_spl
| ~ sQ172_spl
| ~ sQ242_spl ),
inference(split_clause,[status(thm)],[f4551,f3600,f844,f4559,f172,f201]) ).
fof(f4563,plain,
( ~ sQ11_spl
| sQ261_spl
| ~ sQ172_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f4552,f882,f844,f4559,f172]) ).
fof(f4564,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ12_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ greater(e_2,e_0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f176,f708]) ).
fof(f4572,plain,
( ~ sQ17_spl
| ~ sQ12_spl
| sQ229_spl
| ~ sQ164_spl
| ~ sQ258_spl ),
inference(split_clause,[status(thm)],[f4564,f4418,f808,f2106,f175,f191]) ).
fof(f4578,plain,
( ~ sQ113_spl
| ~ sQ90_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f446,f2392]) ).
fof(f4586,plain,
( ~ sQ72_spl
| ~ sQ113_spl
| ~ sQ90_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f4578,f1399]) ).
fof(f4589,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ90_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f4578,f121]) ).
fof(f4590,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ90_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f4578,f119]) ).
fof(f4591,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f4578,f117]) ).
fof(f4592,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ90_spl
| product(X0,e_2,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f4578,f124]) ).
fof(f4594,plain,
( ~ sQ90_spl
| ~ sQ72_spl
| ~ sQ113_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f4586,f1764]) ).
fof(f4617,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ6_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ greater(e_2,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f763,f176]) ).
fof(f4618,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f763,f157]) ).
fof(f4619,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ6_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f763,f192]) ).
fof(f4620,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ6_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f763,f202]) ).
fof(f4621,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_4) ),
inference(resolution,[status(thm)],[f763,f82]) ).
fof(f4622,plain,
( ~ sQ12_spl
| ~ sQ6_spl
| sQ235_spl
| ~ sQ164_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f4617,f3740,f808,f2643,f156,f175]) ).
fof(f4623,plain,
( ~ sQ6_spl
| sQ154_spl
| ~ sQ162_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f4618,f774,f801,f670,f156]) ).
fof(f4624,plain,
( ~ sQ17_spl
| ~ sQ6_spl
| sQ235_spl
| ~ sQ164_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f4619,f3744,f808,f2643,f156,f191]) ).
fof(f4625,plain,
( ~ sQ20_spl
| ~ sQ6_spl
| sQ261_spl
| ~ sQ172_spl
| ~ sQ244_spl ),
inference(split_clause,[status(thm)],[f4620,f3608,f844,f4559,f156,f201]) ).
fof(f4626,plain,
( ~ sQ6_spl
| sQ261_spl
| ~ sQ172_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f4621,f875,f844,f4559,f156]) ).
fof(f4627,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ13_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ greater(e_3,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f179,f763]) ).
fof(f4632,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f179,f86]) ).
fof(f4633,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f179,f84]) ).
fof(f4634,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f179,f80]) ).
fof(f4635,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sQ233_spl
| ~ sQ166_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f4627,f3740,f815,f2522,f178,f156]) ).
fof(f4640,plain,
( sQ260_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4557,f61]) ).
fof(f4641,plain,
sQ260_spl,
inference(contradiction_clause,[status(thm)],[f4640]) ).
fof(f4642,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ19_spl
| equalish(e_4,X0)
| ~ next(e_1,X0)
| ~ greater(e_4,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f198,f763]) ).
fof(f4647,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ greater(X1,e_4)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f198,f86]) ).
fof(f4648,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| equalish(X1,X2)
| ~ next(e_4,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f198,f84]) ).
fof(f4649,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f198,f80]) ).
fof(f4650,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sQ217_spl
| ~ sQ168_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f4642,f3744,f822,f1907,f197,f156]) ).
fof(f4655,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ sQ10_spl
| ~ greater(X1,e_1)
| ~ greater(e_3,X0)
| ~ next(e_3,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f170,f762]) ).
fof(f4661,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ10_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f170,f763]) ).
fof(f4670,definition,
! [X0,X1] :
( sQ262_spl
<=> ( ~ greater(X1,e_1)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f4671,plain,
! [X0,X1] :
( ~ sQ262_spl
| ~ greater(X1,e_1)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f4670]) ).
fof(f4673,plain,
( ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ252_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f4655,f4670,f3740,f169,f156]) ).
fof(f4678,plain,
( ~ sQ6_spl
| ~ sQ10_spl
| sQ261_spl
| ~ sQ172_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f4661,f3740,f844,f4559,f169,f156]) ).
fof(f4684,plain,
( ~ sQ124_spl
| ~ sQ143_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f2733,f559]) ).
fof(f4685,plain,
( ~ sQ124_spl
| ~ sQ143_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f4684,f243,f624,f558]) ).
fof(f4686,plain,
( ~ sQ124_spl
| ~ sQ74_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1365,f559]) ).
fof(f4687,plain,
( ~ sQ124_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4686,f101]) ).
fof(f4688,plain,
( ~ sQ124_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f4687]) ).
fof(f4691,plain,
( ~ sQ138_spl
| ~ sQ61_spl
| ~ sQ80_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1840,f2764]) ).
fof(f4692,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1840,f121]) ).
fof(f4693,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1840,f119]) ).
fof(f4694,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1840,f117]) ).
fof(f4695,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| product(X0,e_4,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1840,f124]) ).
fof(f4696,plain,
( ~ sQ138_spl
| ~ sQ61_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4691,f100]) ).
fof(f4697,plain,
( ~ sQ138_spl
| ~ sQ61_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f4696]) ).
fof(f4699,plain,
( ~ sQ67_spl
| ~ sQ105_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f499,f1454]) ).
fof(f4701,plain,
( ~ sQ100_spl
| ~ sQ105_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f499,f2597]) ).
fof(f4703,plain,
( ~ sQ80_spl
| ~ sQ105_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f499,f1843]) ).
fof(f4705,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f499,f121]) ).
fof(f4706,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f499,f119]) ).
fof(f4709,plain,
( ~ sQ100_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4701,f110]) ).
fof(f4710,plain,
( ~ sQ100_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f4709]) ).
fof(f4712,plain,
( ~ sQ96_spl
| ~ sQ67_spl
| ~ sQ105_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f4699,f1691]) ).
fof(f4713,plain,
( ~ sQ143_spl
| ~ sQ67_spl
| ~ sQ105_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f4699,f2731]) ).
fof(f4716,plain,
( ~ sQ38_spl
| ~ sQ67_spl
| ~ sQ105_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f4699,f1290]) ).
fof(f4717,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f4699,f121]) ).
fof(f4718,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ105_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f4699,f119]) ).
fof(f4719,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ105_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f4699,f117]) ).
fof(f4720,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ105_spl
| product(X0,e_4,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f4699,f124]) ).
fof(f4721,plain,
( ~ sQ143_spl
| ~ sQ67_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4713,f104]) ).
fof(f4722,plain,
( ~ sQ143_spl
| ~ sQ67_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f4721]) ).
fof(f4723,plain,
( ~ sQ38_spl
| ~ sQ67_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4716,f98]) ).
fof(f4724,plain,
( ~ sQ38_spl
| ~ sQ67_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f4723]) ).
fof(f4726,plain,
( ~ sQ105_spl
| ~ sQ96_spl
| ~ sQ67_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f4712,f2450]) ).
fof(f4729,plain,
( ~ sQ42_spl
| ~ sQ96_spl
| ~ sQ67_spl
| ~ sQ105_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f4712,f1265]) ).
fof(f4734,plain,
( ~ sQ42_spl
| ~ sQ96_spl
| ~ sQ67_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4729,f110]) ).
fof(f4735,plain,
( ~ sQ42_spl
| ~ sQ96_spl
| ~ sQ67_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f4734]) ).
fof(f4742,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| ~ sQ50_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2324,f121]) ).
fof(f4743,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2324,f119]) ).
fof(f4744,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2324,f117]) ).
fof(f4755,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| product(X0,e_5,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1962,f124]) ).
fof(f4784,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ19_spl
| ~ greater(X1,e_4)
| ~ greater(e_3,X0)
| ~ next(e_3,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f701,f170]) ).
fof(f4787,definition,
! [X0,X1] :
( sQ263_spl
<=> ( ~ greater(X1,e_4)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f4788,plain,
! [X0,X1] :
( ~ sQ263_spl
| ~ greater(X1,e_4)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f4787]) ).
fof(f4790,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| ~ sQ258_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f4784,f4787,f4418,f197,f169]) ).
fof(f4793,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ19_spl
| equalish(e_0,X0)
| ~ next(e_4,X0)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f702,f170]) ).
fof(f4794,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_4,X0)
| ~ next(e_4,X0)
| ~ greater(e_4,e_0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f702,f198]) ).
fof(f4795,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ19_spl
| equalish(e_1,X0)
| ~ next(e_4,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f702,f157]) ).
fof(f4796,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ19_spl
| equalish(e_0,X0)
| ~ next(e_4,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f702,f202]) ).
fof(f4797,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_0,X0)
| ~ next(e_4,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_2) ),
inference(resolution,[status(thm)],[f702,f82]) ).
fof(f4798,definition,
! [X0] :
( sQ264_spl
<=> ( equalish(e_0,X0)
| ~ next(e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f4799,plain,
! [X0] :
( ~ sQ264_spl
| equalish(e_0,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f4798]) ).
fof(f4801,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sQ264_spl
| ~ sQ172_spl
| ~ sQ258_spl ),
inference(split_clause,[status(thm)],[f4793,f4418,f844,f4798,f197,f169]) ).
fof(f4802,plain,
( ~ sQ19_spl
| sQ202_spl
| ~ sQ168_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f4794,f722,f822,f1384,f197]) ).
fof(f4803,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sQ206_spl
| ~ sQ162_spl
| ~ sQ251_spl ),
inference(split_clause,[status(thm)],[f4795,f3722,f801,f1424,f197,f156]) ).
fof(f4804,plain,
( ~ sQ20_spl
| ~ sQ19_spl
| sQ264_spl
| ~ sQ172_spl
| ~ sQ243_spl ),
inference(split_clause,[status(thm)],[f4796,f3604,f844,f4798,f197,f201]) ).
fof(f4805,plain,
( ~ sQ19_spl
| sQ264_spl
| ~ sQ172_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f4797,f895,f844,f4798,f197]) ).
fof(f4806,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1303,f2307]) ).
fof(f4807,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4806,f109]) ).
fof(f4808,plain,
( ~ sQ36_spl
| ~ sQ75_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f4807]) ).
fof(f4814,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ126_spl
| ~ sQ114_spl
| product(X0,e_3,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f3116,f124]) ).
fof(f4835,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ84_spl
| product(X0,e_4,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1806,f124]) ).
fof(f4878,plain,
( ~ sQ90_spl
| ~ sQ126_spl
| ~ sQ114_spl
| ~ sQ122_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2003,f3116]) ).
fof(f4879,plain,
( ~ sQ90_spl
| ~ sQ126_spl
| ~ sQ114_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4878,f112]) ).
fof(f4880,plain,
( ~ sQ90_spl
| ~ sQ126_spl
| ~ sQ114_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f4879]) ).
fof(f4882,plain,
( ~ sQ132_spl
| ~ sQ74_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f389,f3060]) ).
fof(f4894,plain,
( ~ sQ78_spl
| ~ sQ132_spl
| ~ sQ74_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f4882,f1945]) ).
fof(f4900,plain,
! [X0] :
( ~ sQ132_spl
| ~ sQ74_spl
| product(X0,e_1,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f4882,f124]) ).
fof(f4902,plain,
( ~ sQ74_spl
| ~ sQ78_spl
| ~ sQ132_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f4894,f1368]) ).
fof(f4927,plain,
( ~ sQ123_spl
| ~ sQ144_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f628,f1989]) ).
fof(f4936,plain,
( ~ sQ50_spl
| ~ sQ123_spl
| ~ sQ144_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f4927,f1586]) ).
fof(f4939,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ144_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f4927,f121]) ).
fof(f4940,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ144_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f4927,f119]) ).
fof(f4941,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ144_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f4927,f117]) ).
fof(f4942,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ144_spl
| product(X0,e_2,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f4927,f124]) ).
fof(f4944,plain,
( ~ sQ144_spl
| ~ sQ50_spl
| ~ sQ123_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f4936,f2727]) ).
fof(f4969,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f743,f170]) ).
fof(f4970,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ10_spl
| equalish(e_4,X0)
| ~ next(e_0,X0)
| ~ greater(e_4,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f743,f198]) ).
fof(f4971,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ10_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f743,f157]) ).
fof(f4972,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ10_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f743,f202]) ).
fof(f4973,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_3) ),
inference(resolution,[status(thm)],[f743,f82]) ).
fof(f4974,plain,
( ~ sQ10_spl
| sQ173_spl
| ~ sQ172_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f4969,f748,f844,f847,f169]) ).
fof(f4975,plain,
( ~ sQ19_spl
| ~ sQ10_spl
| sQ169_spl
| ~ sQ168_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f4970,f4555,f822,f825,f169,f197]) ).
fof(f4976,plain,
( ~ sQ6_spl
| ~ sQ10_spl
| sQ163_spl
| ~ sQ162_spl
| ~ sQ250_spl ),
inference(split_clause,[status(thm)],[f4971,f3718,f801,f804,f169,f156]) ).
fof(f4977,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| sQ173_spl
| ~ sQ172_spl
| ~ sQ242_spl ),
inference(split_clause,[status(thm)],[f4972,f3600,f844,f847,f169,f201]) ).
fof(f4978,plain,
( ~ sQ10_spl
| sQ173_spl
| ~ sQ172_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f4973,f882,f844,f847,f169]) ).
fof(f4979,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ18_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f195,f743]) ).
fof(f4980,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ18_spl
| ~ greater(X1,e_3)
| ~ greater(e_3,X0)
| ~ next(e_3,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f740]) ).
fof(f4981,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ18_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f195,f763]) ).
fof(f4986,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f86]) ).
fof(f4987,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f84]) ).
fof(f4988,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f195,f80]) ).
fof(f4989,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| sQ167_spl
| ~ sQ166_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f4979,f4555,f815,f818,f194,f169]) ).
fof(f4990,definition,
! [X0,X1] :
( sQ265_spl
<=> ( ~ greater(X1,e_3)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f4991,plain,
! [X0,X1] :
( ~ sQ265_spl
| ~ greater(X1,e_3)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f4990]) ).
fof(f4993,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| ~ sQ258_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f4980,f4990,f4418,f194,f169]) ).
fof(f4994,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| sQ233_spl
| ~ sQ166_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f4981,f3744,f815,f2522,f194,f156]) ).
fof(f4999,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ17_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f192,f743]) ).
fof(f5000,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ17_spl
| ~ greater(X1,e_2)
| ~ greater(e_3,X0)
| ~ next(e_3,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f192,f740]) ).
fof(f5009,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sQ165_spl
| ~ sQ164_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f4999,f4555,f808,f811,f191,f169]) ).
fof(f5010,definition,
! [X0,X1] :
( sQ266_spl
<=> ( ~ greater(X1,e_2)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f5011,plain,
! [X0,X1] :
( ~ sQ266_spl
| ~ greater(X1,e_2)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f5010]) ).
fof(f5013,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| ~ sQ258_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f5000,f5010,f4418,f191,f169]) ).
fof(f5019,plain,
( ~ sQ31_spl
| ~ sQ52_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f4215,f523,f318,f246]) ).
fof(f5034,plain,
! [X0] :
( ~ sQ144_spl
| ~ sQ50_spl
| ~ sQ123_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f4944,f119]) ).
fof(f5035,plain,
! [X0] :
( ~ sQ144_spl
| ~ sQ50_spl
| ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f4944,f117]) ).
fof(f5038,plain,
( ~ sQ144_spl
| ~ sQ50_spl
| ~ sQ123_spl
| ~ sQ100_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2596,f4944]) ).
fof(f5039,plain,
( ~ sQ144_spl
| ~ sQ50_spl
| ~ sQ123_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5038,f108]) ).
fof(f5040,plain,
( ~ sQ144_spl
| ~ sQ50_spl
| ~ sQ123_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f5039]) ).
fof(f5042,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ16_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f189,f743]) ).
fof(f5043,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ16_spl
| ~ greater(X1,e_1)
| ~ greater(e_3,X0)
| ~ next(e_3,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f189,f740]) ).
fof(f5044,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ16_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f189,f763]) ).
fof(f5045,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ16_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f189,f911]) ).
fof(f5046,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sQ16_spl
| ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ next(e_1,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f189,f906]) ).
fof(f5049,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f189,f86]) ).
fof(f5052,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sQ163_spl
| ~ sQ162_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f5042,f4555,f801,f804,f188,f169]) ).
fof(f5053,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ258_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f5043,f4670,f4418,f188,f169]) ).
fof(f5054,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sQ154_spl
| ~ sQ162_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f5044,f3744,f801,f670,f188,f156]) ).
fof(f5055,plain,
( ~ sQ20_spl
| ~ sQ16_spl
| sQ163_spl
| ~ sQ162_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f5045,f3655,f801,f804,f188,f201]) ).
fof(f5056,plain,
( ~ sQ20_spl
| ~ sQ16_spl
| ~ sQ243_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f5046,f4161,f3604,f188,f201]) ).
fof(f5065,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ126_spl
| ~ sQ114_spl
| product(X0,e_3,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f3116,f124]) ).
fof(f5087,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ84_spl
| product(X0,e_4,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1806,f124]) ).
fof(f5088,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ102_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f2582,f121]) ).
fof(f5089,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ102_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f2582,f119]) ).
fof(f5090,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ84_spl
| ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2582,f117]) ).
fof(f5096,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ102_spl
| ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f3893,f121]) ).
fof(f5097,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ102_spl
| ~ sQ61_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f3893,f119]) ).
fof(f5098,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ102_spl
| ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f3893,f117]) ).
fof(f5107,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ105_spl
| product(X0,e_4,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f4699,f124]) ).
fof(f5108,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ67_spl
| ~ sQ105_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f4712,f121]) ).
fof(f5109,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ67_spl
| ~ sQ105_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f4712,f119]) ).
fof(f5110,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ67_spl
| ~ sQ105_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f4712,f117]) ).
fof(f5127,plain,
! [X0] :
( ~ sQ132_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f4882,f121]) ).
fof(f5128,plain,
! [X0] :
( ~ sQ132_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f4882,f119]) ).
fof(f5129,plain,
! [X0] :
( ~ sQ132_spl
| ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f4882,f117]) ).
fof(f5130,plain,
! [X0] :
( ~ sQ132_spl
| ~ sQ74_spl
| product(X0,e_1,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f4882,f124]) ).
fof(f5138,plain,
( ~ sQ35_spl
| ~ sQ74_spl
| ~ sQ78_spl
| ~ sQ132_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f4902,f1309]) ).
fof(f5146,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ74_spl
| ~ sQ78_spl
| ~ sQ132_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5138,f121]) ).
fof(f5147,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ74_spl
| ~ sQ78_spl
| ~ sQ132_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f5138,f119]) ).
fof(f5148,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ74_spl
| ~ sQ78_spl
| ~ sQ132_spl
| equalish(X0,e_5)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f5138,f117]) ).
fof(f5160,plain,
( ~ sQ105_spl
| ~ sQ96_spl
| ~ sQ67_spl
| ~ sQ138_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f2766,f4726]) ).
fof(f5208,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f711,f189]) ).
fof(f5209,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ16_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f711,f170]) ).
fof(f5210,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ16_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f711,f157]) ).
fof(f5211,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ16_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f711,f202]) ).
fof(f5212,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_2) ),
inference(resolution,[status(thm)],[f711,f82]) ).
fof(f5213,plain,
( ~ sQ16_spl
| sQ154_spl
| ~ sQ162_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f5208,f722,f801,f670,f188]) ).
fof(f5214,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sQ261_spl
| ~ sQ172_spl
| ~ sQ258_spl ),
inference(split_clause,[status(thm)],[f5209,f4418,f844,f4559,f188,f169]) ).
fof(f5215,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sQ154_spl
| ~ sQ162_spl
| ~ sQ251_spl ),
inference(split_clause,[status(thm)],[f5210,f3722,f801,f670,f188,f156]) ).
fof(f5216,plain,
( ~ sQ20_spl
| ~ sQ16_spl
| sQ261_spl
| ~ sQ172_spl
| ~ sQ243_spl ),
inference(split_clause,[status(thm)],[f5211,f3604,f844,f4559,f188,f201]) ).
fof(f5217,plain,
( ~ sQ16_spl
| sQ261_spl
| ~ sQ172_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f5212,f895,f844,f4559,f188]) ).
fof(f5219,plain,
( ~ sQ6_spl
| ~ sQ200_spl
| ~ greater(e_1,e_0) ),
inference(resolution,[status(thm)],[f1370,f157]) ).
fof(f5220,plain,
( ~ sQ6_spl
| ~ sQ200_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f5219,f801,f1369,f156]) ).
fof(f5224,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1577,f121]) ).
fof(f5225,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1577,f119]) ).
fof(f5226,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1577,f117]) ).
fof(f5227,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| product(X0,e_5,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1577,f124]) ).
fof(f5239,plain,
( ~ sQ78_spl
| ~ sQ51_spl
| ~ sQ32_spl
| ~ sQ93_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1886,f1943]) ).
fof(f5244,plain,
( ~ sQ78_spl
| ~ sQ51_spl
| ~ sQ32_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5239,f102]) ).
fof(f5245,plain,
( ~ sQ78_spl
| ~ sQ51_spl
| ~ sQ32_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f5244]) ).
fof(f5249,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| product(X0,e_3,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2777,f124]) ).
fof(f5253,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ40_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3022,f121]) ).
fof(f5254,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f3022,f119]) ).
fof(f5272,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ38_spl
| product(X0,e_3,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f4235,f124]) ).
fof(f5273,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ38_spl
| ~ sQ109_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f4358,f121]) ).
fof(f5274,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ38_spl
| ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f4358,f119]) ).
fof(f5275,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ38_spl
| ~ sQ109_spl
| equalish(X0,e_2)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f4358,f117]) ).
fof(f5277,plain,
( ~ sQ114_spl
| ~ sQ38_spl
| ~ sQ76_spl
| ~ sQ109_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f4360,f2373]) ).
fof(f5282,plain,
( ~ sQ114_spl
| ~ sQ38_spl
| ~ sQ76_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5277,f109]) ).
fof(f5283,plain,
( ~ sQ114_spl
| ~ sQ38_spl
| ~ sQ76_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f5282]) ).
fof(f5284,plain,
( ~ sQ71_spl
| ~ sQ113_spl
| ~ sQ90_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f4578,f1414]) ).
fof(f5288,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ90_spl
| product(X0,e_2,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f4578,f124]) ).
fof(f5289,plain,
( ~ sQ71_spl
| ~ sQ113_spl
| ~ sQ90_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f5284,f539,f445,f523,f379]) ).
fof(f5290,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f2879,f121]) ).
fof(f5291,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2879,f119]) ).
fof(f5292,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f2879,f117]) ).
fof(f5294,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2889,f121]) ).
fof(f5295,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f2889,f119]) ).
fof(f5296,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f2889,f117]) ).
fof(f5331,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ40_spl
| ~ sQ84_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1809,f3022]) ).
fof(f5332,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ40_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5331,f97]) ).
fof(f5333,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ40_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f5332]) ).
fof(f5334,plain,
( ~ sQ102_spl
| ~ sQ136_spl
| ~ sQ99_spl
| ~ sQ40_spl
| ~ sQ131_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f3065,f3035]) ).
fof(f5335,plain,
( ~ sQ102_spl
| ~ sQ136_spl
| ~ sQ99_spl
| ~ sQ40_spl
| ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5334,f105]) ).
fof(f5336,plain,
( ~ sQ102_spl
| ~ sQ136_spl
| ~ sQ99_spl
| ~ sQ40_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f5335]) ).
fof(f5337,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ127_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f3089,f2777]) ).
fof(f5338,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5337,f99]) ).
fof(f5339,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f5338]) ).
fof(f5340,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ40_spl
| ~ sQ124_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1972,f3022]) ).
fof(f5341,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ40_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5340,f104]) ).
fof(f5342,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ40_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f5341]) ).
fof(f5343,plain,
( ~ sQ71_spl
| ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ122_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2162,f1412]) ).
fof(f5344,plain,
( ~ sQ102_spl
| ~ sQ136_spl
| ~ sQ99_spl
| ~ sQ40_spl
| ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ122_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2162,f3042]) ).
fof(f5345,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ122_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2162,f121]) ).
fof(f5346,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ122_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2162,f119]) ).
fof(f5347,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ122_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2162,f117]) ).
fof(f5348,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ122_spl
| product(X0,e_2,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2162,f124]) ).
fof(f5349,plain,
( ~ sQ71_spl
| ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5343,f103]) ).
fof(f5350,plain,
( ~ sQ71_spl
| ~ sQ61_spl
| ~ sQ80_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f5349]) ).
fof(f5351,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ107_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f2435,f2777]) ).
fof(f5352,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5351,f114]) ).
fof(f5353,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f5352]) ).
fof(f5354,plain,
( ~ sQ67_spl
| ~ sQ105_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f4699,f608,f498,f366]) ).
fof(f5380,plain,
( ~ sQ102_spl
| ~ sQ136_spl
| ~ sQ99_spl
| ~ sQ40_spl
| ~ sQ126_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f3096,f3035]) ).
fof(f5381,plain,
( ~ sQ102_spl
| ~ sQ136_spl
| ~ sQ99_spl
| ~ sQ40_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5380,f106]) ).
fof(f5382,plain,
( ~ sQ102_spl
| ~ sQ136_spl
| ~ sQ99_spl
| ~ sQ40_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f5381]) ).
fof(f5415,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ122_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2004,f2777]) ).
fof(f5416,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5415,f111]) ).
fof(f5417,plain,
( ~ sQ99_spl
| ~ sQ136_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f5416]) ).
fof(f5422,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ144_spl
| product(X0,e_2,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f4927,f124]) ).
fof(f5425,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ123_spl
| ~ sQ144_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f4936,f121]) ).
fof(f5426,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ123_spl
| ~ sQ144_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f4936,f119]) ).
fof(f5427,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ123_spl
| ~ sQ144_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f4936,f117]) ).
fof(f5431,plain,
( ~ sQ31_spl
| ~ sQ144_spl
| ~ sQ50_spl
| ~ sQ123_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f4944,f1331]) ).
fof(f5432,plain,
! [X0] :
( ~ sQ144_spl
| ~ sQ50_spl
| ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f4944,f121]) ).
fof(f5440,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ38_spl
| product(X0,e_3,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f4235,f124]) ).
fof(f5451,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ144_spl
| ~ sQ50_spl
| ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f5431,f121]) ).
fof(f5452,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ144_spl
| ~ sQ50_spl
| ~ sQ123_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f5431,f119]) ).
fof(f5453,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ144_spl
| ~ sQ50_spl
| ~ sQ123_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f5431,f117]) ).
fof(f5466,plain,
( ~ sQ38_spl
| ~ sQ76_spl
| ~ sQ109_spl
| ~ sQ67_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f1454,f4360]) ).
fof(f5478,plain,
( ~ sQ31_spl
| ~ sQ144_spl
| ~ sQ50_spl
| ~ sQ123_spl
| ~ sQ94_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1730,f5431]) ).
fof(f5479,plain,
( ~ sQ31_spl
| ~ sQ144_spl
| ~ sQ50_spl
| ~ sQ123_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5478,f96]) ).
fof(f5480,plain,
( ~ sQ31_spl
| ~ sQ144_spl
| ~ sQ50_spl
| ~ sQ123_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f5479]) ).
fof(f5481,plain,
( ~ sQ132_spl
| ~ sQ71_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f380,f3060]) ).
fof(f5496,plain,
! [X0] :
( ~ sQ132_spl
| ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f5481,f121]) ).
fof(f5497,plain,
! [X0] :
( ~ sQ132_spl
| ~ sQ71_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f5481,f119]) ).
fof(f5498,plain,
! [X0] :
( ~ sQ132_spl
| ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f5481,f117]) ).
fof(f5499,plain,
! [X0] :
( ~ sQ132_spl
| ~ sQ71_spl
| product(X0,e_1,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f5481,f124]) ).
fof(f5504,plain,
( ~ sQ132_spl
| ~ sQ71_spl
| ~ sQ93_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1739,f5481]) ).
fof(f5506,plain,
( ~ sQ71_spl
| ~ sQ132_spl
| ~ sQ93_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f5504,f1414]) ).
fof(f5514,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ132_spl
| ~ sQ93_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f5506,f121]) ).
fof(f5515,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ132_spl
| ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f5506,f119]) ).
fof(f5516,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ132_spl
| ~ sQ93_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f5506,f117]) ).
fof(f5529,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ greater(e_2,e_0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f734,f176]) ).
fof(f5530,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ12_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f734,f192]) ).
fof(f5531,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ12_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f734,f157]) ).
fof(f5532,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ12_spl
| equalish(e_0,X0)
| ~ next(e_2,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f734,f202]) ).
fof(f5533,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_0,X0)
| ~ next(e_2,X0)
| ~ greater(e_0,e_0)
| ~ next(e_5,e_3) ),
inference(resolution,[status(thm)],[f734,f82]) ).
fof(f5534,plain,
( ~ sQ12_spl
| sQ229_spl
| ~ sQ164_spl
| ~ sQ158_spl ),
inference(split_clause,[status(thm)],[f5529,f748,f808,f2106,f175]) ).
fof(f5535,plain,
( ~ sQ17_spl
| ~ sQ12_spl
| sQ229_spl
| ~ sQ164_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f5530,f4555,f808,f2106,f175,f191]) ).
fof(f5536,plain,
( ~ sQ6_spl
| ~ sQ12_spl
| sQ223_spl
| ~ sQ162_spl
| ~ sQ250_spl ),
inference(split_clause,[status(thm)],[f5531,f3718,f801,f2074,f175,f156]) ).
fof(f5537,plain,
( ~ sQ20_spl
| ~ sQ12_spl
| sQ259_spl
| ~ sQ172_spl
| ~ sQ242_spl ),
inference(split_clause,[status(thm)],[f5532,f3600,f844,f4423,f175,f201]) ).
fof(f5538,plain,
( ~ sQ12_spl
| sQ259_spl
| ~ sQ172_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f5533,f882,f844,f4423,f175]) ).
fof(f5540,plain,
( ~ sQ128_spl
| ~ sQ47_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f298,f3087]) ).
fof(f5553,plain,
( ~ sQ64_spl
| ~ sQ128_spl
| ~ sQ47_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f5540,f1474]) ).
fof(f5556,plain,
! [X0] :
( ~ sQ128_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f5540,f121]) ).
fof(f5557,plain,
! [X0] :
( ~ sQ128_spl
| ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f5540,f119]) ).
fof(f5558,plain,
! [X0] :
( ~ sQ128_spl
| ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f5540,f117]) ).
fof(f5559,plain,
! [X0] :
( ~ sQ128_spl
| ~ sQ47_spl
| product(X0,e_1,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f5540,f124]) ).
fof(f5561,plain,
( ~ sQ47_spl
| ~ sQ64_spl
| ~ sQ128_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f5553,f1207]) ).
fof(f5576,plain,
( ~ sQ12_spl
| ~ sQ208_spl
| ~ greater(e_2,e_0) ),
inference(resolution,[status(thm)],[f1594,f176]) ).
fof(f5577,plain,
( ~ sQ12_spl
| ~ sQ208_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f5576,f808,f1593,f175]) ).
fof(f5583,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f86]) ).
fof(f5584,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f84]) ).
fof(f5585,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f195,f80]) ).
fof(f5591,plain,
( ~ sQ208_spl
| ~ sQ11_spl
| ~ greater(e_1,e_0) ),
inference(resolution,[status(thm)],[f173,f1594]) ).
fof(f5592,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ11_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f173,f763]) ).
fof(f5597,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f173,f86]) ).
fof(f5598,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f173,f84]) ).
fof(f5599,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_1)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f173,f80]) ).
fof(f5600,plain,
( ~ sQ208_spl
| ~ sQ11_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f5591,f801,f172,f1593]) ).
fof(f5601,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| sQ154_spl
| ~ sQ162_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f5592,f3740,f801,f670,f172,f156]) ).
fof(f5612,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f192,f84]) ).
fof(f5613,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f192,f80]) ).
fof(f5662,plain,
( ~ sQ17_spl
| ~ sQ219_spl
| ~ greater(e_2,e_0) ),
inference(resolution,[status(thm)],[f1977,f192]) ).
fof(f5663,plain,
( ~ sQ17_spl
| ~ sQ219_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f5662,f808,f1976,f191]) ).
fof(f5664,plain,
( ~ sQ219_spl
| ~ sQ18_spl
| ~ greater(e_3,e_0) ),
inference(resolution,[status(thm)],[f195,f1977]) ).
fof(f5665,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ18_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f195,f734]) ).
fof(f5671,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f86]) ).
fof(f5672,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f84]) ).
fof(f5673,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f195,f80]) ).
fof(f5674,plain,
( ~ sQ219_spl
| ~ sQ18_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f5664,f815,f194,f1976]) ).
fof(f5675,plain,
( ~ sQ12_spl
| ~ sQ18_spl
| sQ227_spl
| ~ sQ166_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f5665,f4555,f815,f2094,f194,f175]) ).
fof(f5681,plain,
( ~ sQ219_spl
| ~ sQ19_spl
| ~ greater(e_4,e_0) ),
inference(resolution,[status(thm)],[f198,f1977]) ).
fof(f5682,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ19_spl
| equalish(e_4,X0)
| ~ next(e_2,X0)
| ~ greater(e_4,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f198,f734]) ).
fof(f5688,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ greater(X1,e_4)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f198,f86]) ).
fof(f5689,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| equalish(X1,X2)
| ~ next(e_4,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f198,f84]) ).
fof(f5690,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f198,f80]) ).
fof(f5691,plain,
( ~ sQ219_spl
| ~ sQ19_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f5681,f822,f197,f1976]) ).
fof(f5692,plain,
( ~ sQ12_spl
| ~ sQ19_spl
| sQ221_spl
| ~ sQ168_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f5682,f4555,f822,f1990,f197,f175]) ).
fof(f5698,plain,
( ~ sQ219_spl
| ~ sQ16_spl
| ~ greater(e_1,e_0) ),
inference(resolution,[status(thm)],[f189,f1977]) ).
fof(f5699,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ16_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f189,f734]) ).
fof(f5708,plain,
( ~ sQ219_spl
| ~ sQ16_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f5698,f801,f188,f1976]) ).
fof(f5709,plain,
( ~ sQ12_spl
| ~ sQ16_spl
| sQ223_spl
| ~ sQ162_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f5699,f4555,f801,f2074,f188,f175]) ).
fof(f5730,plain,
( ~ sQ225_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2087,f63]) ).
fof(f5731,plain,
( ~ sQ225_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5730,f102]) ).
fof(f5732,plain,
~ sQ225_spl,
inference(contradiction_clause,[status(thm)],[f5731]) ).
fof(f5737,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| product(X0,e_5,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1577,f124]) ).
fof(f5755,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ38_spl
| product(X0,e_3,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f3674,f124]) ).
fof(f5765,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ134_spl
| ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3694,f121]) ).
fof(f5766,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ134_spl
| ~ sQ75_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f3694,f119]) ).
fof(f5767,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ134_spl
| ~ sQ75_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f3694,f117]) ).
fof(f5772,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2446,f121]) ).
fof(f5773,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ105_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2446,f119]) ).
fof(f5774,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ105_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f2446,f117]) ).
fof(f5775,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ105_spl
| product(X0,e_4,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2446,f124]) ).
fof(f5797,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ142_spl
| product(X0,e_2,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2735,f124]) ).
fof(f5800,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ60_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2808,f121]) ).
fof(f5801,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2808,f119]) ).
fof(f5802,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ142_spl
| ~ sQ60_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2808,f117]) ).
fof(f5819,plain,
( ~ sQ38_spl
| ~ sQ134_spl
| ~ sQ75_spl
| ~ sQ72_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f1399,f3694]) ).
fof(f5820,plain,
( ~ sQ142_spl
| ~ sQ123_spl
| ~ sQ60_spl
| ~ sQ81_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f1837,f2853]) ).
fof(f5831,plain,
! [X0] :
( ~ sQ142_spl
| ~ sQ123_spl
| ~ sQ60_spl
| ~ sQ81_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f5820,f121]) ).
fof(f5832,plain,
! [X0] :
( ~ sQ142_spl
| ~ sQ123_spl
| ~ sQ60_spl
| ~ sQ81_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f5820,f119]) ).
fof(f5833,plain,
! [X0] :
( ~ sQ142_spl
| ~ sQ123_spl
| ~ sQ60_spl
| ~ sQ81_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f5820,f117]) ).
fof(f5888,plain,
( ~ sQ229_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2107,f61]) ).
fof(f5889,plain,
( ~ sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5888,f100]) ).
fof(f5890,plain,
~ sQ229_spl,
inference(contradiction_clause,[status(thm)],[f5889]) ).
fof(f5897,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f86]) ).
fof(f5898,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f195,f84]) ).
fof(f5899,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f195,f80]) ).
fof(f5907,plain,
( ~ sQ209_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1597,f62]) ).
fof(f5908,plain,
( ~ sQ209_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5907,f114]) ).
fof(f5909,plain,
~ sQ209_spl,
inference(contradiction_clause,[status(thm)],[f5908]) ).
fof(f5915,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f192,f86]) ).
fof(f5916,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f192,f84]) ).
fof(f5917,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f192,f80]) ).
fof(f5923,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ14_spl
| equalish(e_4,X0)
| ~ next(e_1,X0)
| ~ greater(e_4,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f182,f763]) ).
fof(f5924,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ14_spl
| equalish(e_4,X0)
| ~ next(e_0,X0)
| ~ greater(e_4,e_0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f182,f911]) ).
fof(f5925,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sQ14_spl
| ~ greater(X1,e_4)
| ~ greater(e_1,X0)
| ~ next(e_1,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f182,f906]) ).
fof(f5928,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| ~ greater(X1,e_4)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f182,f86]) ).
fof(f5929,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(X1,X2)
| ~ next(e_4,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f182,f84]) ).
fof(f5930,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_4)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f182,f80]) ).
fof(f5931,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sQ217_spl
| ~ sQ168_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f5923,f3740,f822,f1907,f181,f156]) ).
fof(f5932,plain,
( ~ sQ20_spl
| ~ sQ14_spl
| sQ169_spl
| ~ sQ168_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f5924,f3651,f822,f825,f181,f201]) ).
fof(f5933,plain,
( ~ sQ20_spl
| ~ sQ14_spl
| ~ sQ242_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f5925,f4128,f3600,f181,f201]) ).
fof(f5941,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ126_spl
| ~ sQ114_spl
| product(X0,e_3,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f3116,f124]) ).
fof(f5968,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ84_spl
| product(X0,e_4,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1806,f124]) ).
fof(f6054,plain,
( ~ sQ67_spl
| ~ sQ105_spl
| ~ sQ96_spl
| ~ sQ138_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f5160,f1454]) ).
fof(f6063,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ144_spl
| product(X0,e_2,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f4927,f124]) ).
fof(f6067,plain,
! [X0] :
( ~ sQ132_spl
| ~ sQ74_spl
| product(X0,e_1,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f4882,f124]) ).
fof(f6069,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ132_spl
| ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f4894,f121]) ).
fof(f6070,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ132_spl
| ~ sQ74_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f4894,f119]) ).
fof(f6071,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ132_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f4894,f117]) ).
fof(f6073,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ78_spl
| ~ sQ132_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f4902,f121]) ).
fof(f6074,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ78_spl
| ~ sQ132_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f4902,f119]) ).
fof(f6075,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ78_spl
| ~ sQ132_spl
| equalish(X0,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f4902,f117]) ).
fof(f6195,plain,
( ~ sQ221_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1991,f61]) ).
fof(f6196,plain,
( ~ sQ221_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6195,f109]) ).
fof(f6197,plain,
~ sQ221_spl,
inference(contradiction_clause,[status(thm)],[f6196]) ).
fof(f6198,plain,
( ~ sQ72_spl
| ~ sQ100_spl
| ~ sQ43_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f4179,f268,f284,f482,f382]) ).
fof(f6199,plain,
( ~ sQ113_spl
| ~ sQ90_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f4578,f586,f445,f523]) ).
fof(f6200,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f2879,f121]) ).
fof(f6201,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2879,f119]) ).
fof(f6202,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f2879,f117]) ).
fof(f6213,plain,
( ~ sQ78_spl
| ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1437,f2890]) ).
fof(f6232,plain,
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| ~ sQ31_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1329,f2889]) ).
fof(f6233,plain,
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6232,f105]) ).
fof(f6234,plain,
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ36_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f6233]) ).
fof(f6236,plain,
( ~ sQ50_spl
| ~ sQ31_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f247,f1586]) ).
fof(f6243,plain,
( ~ sQ50_spl
| ~ sQ31_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f6236,f555,f246,f312]) ).
fof(f6244,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ113_spl
| ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f4586,f121]) ).
fof(f6245,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ113_spl
| ~ sQ90_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f4586,f119]) ).
fof(f6246,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ113_spl
| ~ sQ90_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f4586,f117]) ).
fof(f6268,plain,
( ~ sQ90_spl
| ~ sQ72_spl
| ~ sQ113_spl
| ~ sQ131_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f3067,f4594]) ).
fof(f6290,plain,
( ~ sQ113_spl
| ~ sQ90_spl
| ~ sQ72_spl
| ~ sQ131_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f6268,f2392]) ).
fof(f6293,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ72_spl
| ~ sQ113_spl
| ~ sQ131_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f6268,f117]) ).
fof(f6298,plain,
( ~ sQ139_spl
| ~ sQ96_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f465,f2761]) ).
fof(f6309,plain,
( ~ sQ40_spl
| ~ sQ100_spl
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f483,f1281]) ).
fof(f6317,plain,
( ~ sQ40_spl
| ~ sQ100_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f6309,f643,f482,f275]) ).
fof(f6327,plain,
( ~ sQ100_spl
| ~ sQ42_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f1268,f483]) ).
fof(f6329,plain,
( ~ sQ96_spl
| ~ sQ100_spl
| ~ sQ42_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f6327,f1691]) ).
fof(f6332,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ42_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f6327,f121]) ).
fof(f6333,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f6327,f119]) ).
fof(f6334,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ42_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f6327,f117]) ).
fof(f6335,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ42_spl
| product(X0,e_5,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f6327,f124]) ).
fof(f6337,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ100_spl
| ~ sQ42_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f6329,f121]) ).
fof(f6338,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ100_spl
| ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f6329,f119]) ).
fof(f6339,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ100_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f6329,f117]) ).
fof(f6350,plain,
( ~ sQ143_spl
| ~ sQ124_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f559,f2733]) ).
fof(f6363,plain,
( ~ sQ51_spl
| ~ sQ143_spl
| ~ sQ124_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f6350,f1581]) ).
fof(f6366,plain,
! [X0] :
( ~ sQ143_spl
| ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f6350,f121]) ).
fof(f6367,plain,
! [X0] :
( ~ sQ143_spl
| ~ sQ124_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f6350,f119]) ).
fof(f6368,plain,
! [X0] :
( ~ sQ143_spl
| ~ sQ124_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f6350,f117]) ).
fof(f6369,plain,
! [X0] :
( ~ sQ143_spl
| ~ sQ124_spl
| product(X0,e_1,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f6350,f124]) ).
fof(f6371,plain,
( ~ sQ124_spl
| ~ sQ51_spl
| ~ sQ143_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f6363,f1975]) ).
fof(f6388,plain,
( ~ sQ48_spl
| ~ sQ127_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f574,f1193]) ).
fof(f6396,plain,
( ~ sQ60_spl
| ~ sQ48_spl
| ~ sQ127_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f6388,f1507]) ).
fof(f6399,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ127_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f6388,f121]) ).
fof(f6400,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ127_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f6388,f119]) ).
fof(f6401,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ127_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f6388,f117]) ).
fof(f6402,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ127_spl
| product(X0,e_5,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f6388,f124]) ).
fof(f6404,plain,
( ~ sQ127_spl
| ~ sQ60_spl
| ~ sQ48_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f6396,f3092]) ).
fof(f6423,plain,
( ~ sQ10_spl
| ~ sQ208_spl
| ~ greater(e_0,e_0) ),
inference(resolution,[status(thm)],[f1594,f170]) ).
fof(f6424,plain,
( ~ sQ204_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1401,f63]) ).
fof(f6425,plain,
( ~ sQ204_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6424,f106]) ).
fof(f6426,plain,
~ sQ204_spl,
inference(contradiction_clause,[status(thm)],[f6425]) ).
fof(f6427,plain,
( ~ sQ32_spl
| ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3056,f98]) ).
fof(f6428,plain,
( ~ sQ32_spl
| ~ sQ132_spl ),
inference(contradiction_clause,[status(thm)],[f6427]) ).
fof(f6432,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ51_spl
| product(X0,e_5,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1577,f124]) ).
fof(f6454,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ75_spl
| product(X0,e_5,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1962,f124]) ).
fof(f6491,plain,
( ~ sQ96_spl
| ~ sQ138_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f2766,f465]) ).
fof(f6523,plain,
( ~ sQ103_spl
| ~ sQ40_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f276,f2580]) ).
fof(f6531,plain,
( ~ sQ131_spl
| ~ sQ74_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f389,f3067]) ).
fof(f6543,plain,
( ~ sQ74_spl
| ~ sQ103_spl
| ~ sQ40_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f6523,f1368]) ).
fof(f6546,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f6523,f121]) ).
fof(f6547,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ40_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f6523,f119]) ).
fof(f6548,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f6523,f117]) ).
fof(f6549,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ40_spl
| product(X0,e_2,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f6523,f124]) ).
fof(f6558,plain,
( ~ sQ16_spl
| ~ sQ257_spl
| ~ greater(e_1,e_1)
| ~ greater(e_1,e_2) ),
inference(resolution,[status(thm)],[f4162,f189]) ).
fof(f6559,plain,
( ~ sQ10_spl
| ~ sQ257_spl
| ~ greater(e_0,e_1)
| ~ greater(e_1,e_3) ),
inference(resolution,[status(thm)],[f4162,f170]) ).
fof(f6560,plain,
( ~ sQ6_spl
| ~ sQ257_spl
| ~ greater(e_1,e_1)
| ~ greater(e_1,e_4) ),
inference(resolution,[status(thm)],[f4162,f157]) ).
fof(f6562,plain,
( ~ sQ257_spl
| ~ greater(e_0,e_1)
| ~ greater(e_1,e_5) ),
inference(resolution,[status(thm)],[f4162,f82]) ).
fof(f6563,plain,
( ~ sQ16_spl
| ~ sQ257_spl
| ~ sQ152_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f6558,f2078,f662,f4161,f188]) ).
fof(f6564,plain,
( ~ sQ10_spl
| ~ sQ257_spl
| ~ sQ240_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f6559,f1706,f3579,f4161,f169]) ).
fof(f6565,plain,
( ~ sQ6_spl
| ~ sQ257_spl
| ~ sQ152_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f6560,f1428,f662,f4161,f156]) ).
fof(f6567,plain,
( ~ sQ257_spl
| ~ sQ240_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f6562,f1243,f3579,f4161]) ).
fof(f6568,plain,
( ~ sQ16_spl
| ~ sQ262_spl
| ~ greater(e_1,e_1)
| ~ greater(e_3,e_2) ),
inference(resolution,[status(thm)],[f4671,f189]) ).
fof(f6569,plain,
( ~ sQ10_spl
| ~ sQ262_spl
| ~ greater(e_0,e_1)
| ~ greater(e_3,e_3) ),
inference(resolution,[status(thm)],[f4671,f170]) ).
fof(f6570,plain,
( ~ sQ6_spl
| ~ sQ262_spl
| ~ greater(e_1,e_1)
| ~ greater(e_3,e_4) ),
inference(resolution,[status(thm)],[f4671,f157]) ).
fof(f6571,plain,
( ~ sQ20_spl
| ~ sQ262_spl
| ~ greater(e_0,e_1)
| ~ greater(e_3,e_1) ),
inference(resolution,[status(thm)],[f4671,f202]) ).
fof(f6572,plain,
( ~ sQ262_spl
| ~ greater(e_0,e_1)
| ~ greater(e_3,e_5) ),
inference(resolution,[status(thm)],[f4671,f82]) ).
fof(f6573,plain,
( ~ sQ16_spl
| ~ sQ262_spl
| ~ sQ152_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f6568,f2098,f662,f4670,f188]) ).
fof(f6574,plain,
( ~ sQ10_spl
| ~ sQ262_spl
| ~ sQ240_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f6569,f2120,f3579,f4670,f169]) ).
fof(f6575,plain,
( ~ sQ6_spl
| ~ sQ262_spl
| ~ sQ152_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f6570,f1404,f662,f4670,f156]) ).
fof(f6576,plain,
( ~ sQ20_spl
| ~ sQ262_spl
| ~ sQ240_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f6571,f2526,f3579,f4670,f201]) ).
fof(f6577,plain,
( ~ sQ262_spl
| ~ sQ240_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f6572,f1212,f3579,f4670]) ).
fof(f6578,plain,
( ~ sQ220_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1980,f61]) ).
fof(f6579,plain,
( ~ sQ220_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6578,f113]) ).
fof(f6580,plain,
~ sQ220_spl,
inference(contradiction_clause,[status(thm)],[f6579]) ).
fof(f6581,plain,
( ~ sQ261_spl
| equalish(e_0,e_2) ),
inference(resolution,[status(thm)],[f4560,f60]) ).
fof(f6582,plain,
( ~ sQ223_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2075,f61]) ).
fof(f6583,plain,
( ~ sQ223_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6582,f96]) ).
fof(f6584,plain,
~ sQ223_spl,
inference(contradiction_clause,[status(thm)],[f6583]) ).
fof(f6586,plain,
( ~ sQ259_spl
| equalish(e_0,e_3) ),
inference(resolution,[status(thm)],[f4424,f61]) ).
fof(f6587,plain,
( ~ sQ264_spl
| equalish(e_0,e_5) ),
inference(resolution,[status(thm)],[f4799,f63]) ).
fof(f6589,plain,
( ~ sQ206_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1425,f63]) ).
fof(f6590,plain,
( ~ sQ206_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6589,f98]) ).
fof(f6591,plain,
~ sQ206_spl,
inference(contradiction_clause,[status(thm)],[f6590]) ).
fof(f6592,plain,
( ~ sQ202_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1385,f63]) ).
fof(f6593,plain,
( ~ sQ202_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6592,f110]) ).
fof(f6594,plain,
~ sQ202_spl,
inference(contradiction_clause,[status(thm)],[f6593]) ).
fof(f6596,plain,
( ~ sQ231_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f2117,f62]) ).
fof(f6597,plain,
( ~ sQ231_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6596,f105]) ).
fof(f6598,plain,
~ sQ231_spl,
inference(contradiction_clause,[status(thm)],[f6597]) ).
fof(f6599,plain,
( ~ sQ215_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1713,f62]) ).
fof(f6600,plain,
( ~ sQ215_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6599,f101]) ).
fof(f6601,plain,
~ sQ215_spl,
inference(contradiction_clause,[status(thm)],[f6600]) ).
fof(f6602,plain,
( ~ sQ213_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1703,f62]) ).
fof(f6603,plain,
( ~ sQ213_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6602,f97]) ).
fof(f6604,plain,
~ sQ213_spl,
inference(contradiction_clause,[status(thm)],[f6603]) ).
fof(f6606,plain,
( ~ sQ16_spl
| ~ sQ256_spl
| ~ greater(e_1,e_4)
| ~ greater(e_1,e_2) ),
inference(resolution,[status(thm)],[f4129,f189]) ).
fof(f6607,plain,
( ~ sQ10_spl
| ~ sQ256_spl
| ~ greater(e_0,e_4)
| ~ greater(e_1,e_3) ),
inference(resolution,[status(thm)],[f4129,f170]) ).
fof(f6608,plain,
( ~ sQ6_spl
| ~ sQ256_spl
| ~ greater(e_1,e_4)
| ~ greater(e_1,e_4) ),
inference(resolution,[status(thm)],[f4129,f157]) ).
fof(f6610,plain,
( ~ sQ256_spl
| ~ greater(e_0,e_4)
| ~ greater(e_1,e_5) ),
inference(resolution,[status(thm)],[f4129,f82]) ).
fof(f6611,plain,
( ~ sQ16_spl
| ~ sQ256_spl
| ~ sQ207_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f6606,f2078,f1428,f4128,f188]) ).
fof(f6612,plain,
( ~ sQ10_spl
| ~ sQ256_spl
| ~ sQ237_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f6607,f1706,f3503,f4128,f169]) ).
fof(f6613,plain,
( ~ sQ6_spl
| ~ sQ256_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f6608,f1428,f4128,f156]) ).
fof(f6615,plain,
( ~ sQ256_spl
| ~ sQ237_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f6610,f1243,f3503,f4128]) ).
fof(f6616,plain,
( ~ sQ16_spl
| ~ sQ245_spl
| ~ greater(e_1,e_2)
| ~ greater(e_1,e_2) ),
inference(resolution,[status(thm)],[f3623,f189]) ).
fof(f6617,plain,
( ~ sQ10_spl
| ~ sQ245_spl
| ~ greater(e_0,e_2)
| ~ greater(e_1,e_3) ),
inference(resolution,[status(thm)],[f3623,f170]) ).
fof(f6618,plain,
( ~ sQ6_spl
| ~ sQ245_spl
| ~ greater(e_1,e_2)
| ~ greater(e_1,e_4) ),
inference(resolution,[status(thm)],[f3623,f157]) ).
fof(f6620,plain,
( ~ sQ245_spl
| ~ greater(e_0,e_2)
| ~ greater(e_1,e_5) ),
inference(resolution,[status(thm)],[f3623,f82]) ).
fof(f6621,plain,
( ~ sQ16_spl
| ~ sQ245_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f6616,f2078,f3622,f188]) ).
fof(f6622,plain,
( ~ sQ10_spl
| ~ sQ245_spl
| ~ sQ239_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f6617,f1706,f3559,f3622,f169]) ).
fof(f6623,plain,
( ~ sQ6_spl
| ~ sQ245_spl
| ~ sQ224_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f6618,f1428,f2078,f3622,f156]) ).
fof(f6625,plain,
( ~ sQ245_spl
| ~ sQ239_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f6620,f1243,f3559,f3622]) ).
fof(f6626,plain,
( ~ sQ16_spl
| ~ sQ241_spl
| ~ greater(e_1,e_3)
| ~ greater(e_1,e_2) ),
inference(resolution,[status(thm)],[f3598,f189]) ).
fof(f6627,plain,
( ~ sQ10_spl
| ~ sQ241_spl
| ~ greater(e_0,e_3)
| ~ greater(e_1,e_3) ),
inference(resolution,[status(thm)],[f3598,f170]) ).
fof(f6628,plain,
( ~ sQ6_spl
| ~ sQ241_spl
| ~ greater(e_1,e_3)
| ~ greater(e_1,e_4) ),
inference(resolution,[status(thm)],[f3598,f157]) ).
fof(f6630,plain,
( ~ sQ241_spl
| ~ greater(e_0,e_3)
| ~ greater(e_1,e_5) ),
inference(resolution,[status(thm)],[f3598,f82]) ).
fof(f6631,plain,
( ~ sQ16_spl
| ~ sQ241_spl
| ~ sQ214_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f6626,f2078,f1706,f3597,f188]) ).
fof(f6632,plain,
( ~ sQ10_spl
| ~ sQ241_spl
| ~ sQ238_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f6627,f1706,f3532,f3597,f169]) ).
fof(f6633,plain,
( ~ sQ6_spl
| ~ sQ241_spl
| ~ sQ214_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f6628,f1428,f1706,f3597,f156]) ).
fof(f6635,plain,
( ~ sQ241_spl
| ~ sQ238_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f6630,f1243,f3532,f3597]) ).
fof(f6636,plain,
( ~ sQ16_spl
| ~ sQ254_spl
| ~ greater(e_1,e_2)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f3764,f189]) ).
fof(f6637,plain,
( ~ sQ10_spl
| ~ sQ254_spl
| ~ greater(e_0,e_2)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f3764,f170]) ).
fof(f6638,plain,
( ~ sQ6_spl
| ~ sQ254_spl
| ~ greater(e_1,e_2)
| ~ greater(e_4,e_4) ),
inference(resolution,[status(thm)],[f3764,f157]) ).
fof(f6639,plain,
( ~ sQ20_spl
| ~ sQ254_spl
| ~ greater(e_0,e_2)
| ~ greater(e_4,e_1) ),
inference(resolution,[status(thm)],[f3764,f202]) ).
fof(f6640,plain,
( ~ sQ254_spl
| ~ greater(e_0,e_2)
| ~ greater(e_4,e_5) ),
inference(resolution,[status(thm)],[f3764,f82]) ).
fof(f6641,plain,
( ~ sQ16_spl
| ~ sQ254_spl
| ~ sQ224_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f6636,f1994,f2078,f3763,f188]) ).
fof(f6642,plain,
( ~ sQ10_spl
| ~ sQ254_spl
| ~ sQ239_spl
| ~ sQ211_spl ),
inference(split_clause,[status(thm)],[f6637,f1611,f3559,f3763,f169]) ).
fof(f6643,plain,
( ~ sQ6_spl
| ~ sQ254_spl
| ~ sQ224_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f6638,f1388,f2078,f3763,f156]) ).
fof(f6644,plain,
( ~ sQ20_spl
| ~ sQ254_spl
| ~ sQ239_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f6639,f1911,f3559,f3763,f201]) ).
fof(f6645,plain,
( ~ sQ254_spl
| ~ sQ239_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f6640,f1198,f3559,f3763]) ).
fof(f6646,plain,
( ~ sQ16_spl
| ~ sQ249_spl
| ~ greater(e_1,e_3)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f3716,f189]) ).
fof(f6647,plain,
( ~ sQ10_spl
| ~ sQ249_spl
| ~ greater(e_0,e_3)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f3716,f170]) ).
fof(f6648,plain,
( ~ sQ6_spl
| ~ sQ249_spl
| ~ greater(e_1,e_3)
| ~ greater(e_4,e_4) ),
inference(resolution,[status(thm)],[f3716,f157]) ).
fof(f6649,plain,
( ~ sQ20_spl
| ~ sQ249_spl
| ~ greater(e_0,e_3)
| ~ greater(e_4,e_1) ),
inference(resolution,[status(thm)],[f3716,f202]) ).
fof(f6650,plain,
( ~ sQ249_spl
| ~ greater(e_0,e_3)
| ~ greater(e_4,e_5) ),
inference(resolution,[status(thm)],[f3716,f82]) ).
fof(f6651,plain,
( ~ sQ16_spl
| ~ sQ249_spl
| ~ sQ214_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f6646,f1994,f1706,f3715,f188]) ).
fof(f6652,plain,
( ~ sQ10_spl
| ~ sQ249_spl
| ~ sQ238_spl
| ~ sQ211_spl ),
inference(split_clause,[status(thm)],[f6647,f1611,f3532,f3715,f169]) ).
fof(f6653,plain,
( ~ sQ6_spl
| ~ sQ249_spl
| ~ sQ214_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f6648,f1388,f1706,f3715,f156]) ).
fof(f6654,plain,
( ~ sQ20_spl
| ~ sQ249_spl
| ~ sQ238_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f6649,f1911,f3532,f3715,f201]) ).
fof(f6655,plain,
( ~ sQ249_spl
| ~ sQ238_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f6650,f1198,f3532,f3715]) ).
fof(f6656,plain,
( ~ sQ16_spl
| ~ sQ266_spl
| ~ greater(e_1,e_2)
| ~ greater(e_3,e_2) ),
inference(resolution,[status(thm)],[f5011,f189]) ).
fof(f6657,plain,
( ~ sQ10_spl
| ~ sQ266_spl
| ~ greater(e_0,e_2)
| ~ greater(e_3,e_3) ),
inference(resolution,[status(thm)],[f5011,f170]) ).
fof(f6658,plain,
( ~ sQ6_spl
| ~ sQ266_spl
| ~ greater(e_1,e_2)
| ~ greater(e_3,e_4) ),
inference(resolution,[status(thm)],[f5011,f157]) ).
fof(f6659,plain,
( ~ sQ20_spl
| ~ sQ266_spl
| ~ greater(e_0,e_2)
| ~ greater(e_3,e_1) ),
inference(resolution,[status(thm)],[f5011,f202]) ).
fof(f6660,plain,
( ~ sQ266_spl
| ~ greater(e_0,e_2)
| ~ greater(e_3,e_5) ),
inference(resolution,[status(thm)],[f5011,f82]) ).
fof(f6661,plain,
( ~ sQ16_spl
| ~ sQ266_spl
| ~ sQ224_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f6656,f2098,f2078,f5010,f188]) ).
fof(f6662,plain,
( ~ sQ10_spl
| ~ sQ266_spl
| ~ sQ239_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f6657,f2120,f3559,f5010,f169]) ).
fof(f6663,plain,
( ~ sQ6_spl
| ~ sQ266_spl
| ~ sQ224_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f6658,f1404,f2078,f5010,f156]) ).
fof(f6664,plain,
( ~ sQ20_spl
| ~ sQ266_spl
| ~ sQ239_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f6659,f2526,f3559,f5010,f201]) ).
fof(f6665,plain,
( ~ sQ266_spl
| ~ sQ239_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f6660,f1212,f3559,f5010]) ).
fof(f6666,plain,
( ~ sQ16_spl
| ~ sQ265_spl
| ~ greater(e_1,e_3)
| ~ greater(e_3,e_2) ),
inference(resolution,[status(thm)],[f4991,f189]) ).
fof(f6667,plain,
( ~ sQ10_spl
| ~ sQ265_spl
| ~ greater(e_0,e_3)
| ~ greater(e_3,e_3) ),
inference(resolution,[status(thm)],[f4991,f170]) ).
fof(f6668,plain,
( ~ sQ6_spl
| ~ sQ265_spl
| ~ greater(e_1,e_3)
| ~ greater(e_3,e_4) ),
inference(resolution,[status(thm)],[f4991,f157]) ).
fof(f6669,plain,
( ~ sQ20_spl
| ~ sQ265_spl
| ~ greater(e_0,e_3)
| ~ greater(e_3,e_1) ),
inference(resolution,[status(thm)],[f4991,f202]) ).
fof(f6670,plain,
( ~ sQ265_spl
| ~ greater(e_0,e_3)
| ~ greater(e_3,e_5) ),
inference(resolution,[status(thm)],[f4991,f82]) ).
fof(f6671,plain,
( ~ sQ16_spl
| ~ sQ265_spl
| ~ sQ214_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f6666,f2098,f1706,f4990,f188]) ).
fof(f6672,plain,
( ~ sQ10_spl
| ~ sQ265_spl
| ~ sQ238_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f6667,f2120,f3532,f4990,f169]) ).
fof(f6673,plain,
( ~ sQ6_spl
| ~ sQ265_spl
| ~ sQ214_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f6668,f1404,f1706,f4990,f156]) ).
fof(f6674,plain,
( ~ sQ20_spl
| ~ sQ265_spl
| ~ sQ238_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f6669,f2526,f3532,f4990,f201]) ).
fof(f6675,plain,
( ~ sQ265_spl
| ~ sQ238_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f6670,f1212,f3532,f4990]) ).
fof(f6676,plain,
( ~ sQ16_spl
| ~ sQ263_spl
| ~ greater(e_1,e_4)
| ~ greater(e_3,e_2) ),
inference(resolution,[status(thm)],[f4788,f189]) ).
fof(f6677,plain,
( ~ sQ10_spl
| ~ sQ263_spl
| ~ greater(e_0,e_4)
| ~ greater(e_3,e_3) ),
inference(resolution,[status(thm)],[f4788,f170]) ).
fof(f6678,plain,
( ~ sQ6_spl
| ~ sQ263_spl
| ~ greater(e_1,e_4)
| ~ greater(e_3,e_4) ),
inference(resolution,[status(thm)],[f4788,f157]) ).
fof(f6679,plain,
( ~ sQ20_spl
| ~ sQ263_spl
| ~ greater(e_0,e_4)
| ~ greater(e_3,e_1) ),
inference(resolution,[status(thm)],[f4788,f202]) ).
fof(f6680,plain,
( ~ sQ263_spl
| ~ greater(e_0,e_4)
| ~ greater(e_3,e_5) ),
inference(resolution,[status(thm)],[f4788,f82]) ).
fof(f6681,plain,
( ~ sQ16_spl
| ~ sQ263_spl
| ~ sQ207_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f6676,f2098,f1428,f4787,f188]) ).
fof(f6682,plain,
( ~ sQ10_spl
| ~ sQ263_spl
| ~ sQ237_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f6677,f2120,f3503,f4787,f169]) ).
fof(f6683,plain,
( ~ sQ6_spl
| ~ sQ263_spl
| ~ sQ207_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f6678,f1404,f1428,f4787,f156]) ).
fof(f6684,plain,
( ~ sQ20_spl
| ~ sQ263_spl
| ~ sQ237_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f6679,f2526,f3503,f4787,f201]) ).
fof(f6685,plain,
( ~ sQ263_spl
| ~ sQ237_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f6680,f1212,f3503,f4787]) ).
fof(f6686,plain,
( ~ sQ16_spl
| ~ sQ255_spl
| ~ greater(e_1,e_4)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f4124,f189]) ).
fof(f6687,plain,
( ~ sQ10_spl
| ~ sQ255_spl
| ~ greater(e_0,e_4)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f4124,f170]) ).
fof(f6688,plain,
( ~ sQ6_spl
| ~ sQ255_spl
| ~ greater(e_1,e_4)
| ~ greater(e_4,e_4) ),
inference(resolution,[status(thm)],[f4124,f157]) ).
fof(f6689,plain,
( ~ sQ20_spl
| ~ sQ255_spl
| ~ greater(e_0,e_4)
| ~ greater(e_4,e_1) ),
inference(resolution,[status(thm)],[f4124,f202]) ).
fof(f6690,plain,
( ~ sQ255_spl
| ~ greater(e_0,e_4)
| ~ greater(e_4,e_5) ),
inference(resolution,[status(thm)],[f4124,f82]) ).
fof(f6691,plain,
( ~ sQ16_spl
| ~ sQ255_spl
| ~ sQ207_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f6686,f1994,f1428,f4123,f188]) ).
fof(f6692,plain,
( ~ sQ10_spl
| ~ sQ255_spl
| ~ sQ237_spl
| ~ sQ211_spl ),
inference(split_clause,[status(thm)],[f6687,f1611,f3503,f4123,f169]) ).
fof(f6693,plain,
( ~ sQ6_spl
| ~ sQ255_spl
| ~ sQ207_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f6688,f1388,f1428,f4123,f156]) ).
fof(f6694,plain,
( ~ sQ20_spl
| ~ sQ255_spl
| ~ sQ237_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f6689,f1911,f3503,f4123,f201]) ).
fof(f6695,plain,
( ~ sQ255_spl
| ~ sQ237_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f6690,f1198,f3503,f4123]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ5_spl
| sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| sQ16_spl
| ~ sQ17_spl
| ~ sQ18_spl
| ~ sQ19_spl
| sQ20_spl
| ~ sQ21_spl
| ~ sQ22_spl
| ~ sQ23_spl
| ~ sQ24_spl
| ~ sQ25_spl
| ~ sQ26_spl
| ~ sQ28_spl
| sQ29_spl
| ~ sQ30_spl
| ~ sQ31_spl
| sQ32_spl
| ~ sQ33_spl
| ~ sQ34_spl
| ~ sQ35_spl
| sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| ~ sQ39_spl
| sQ40_spl
| ~ sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| ~ sQ47_spl
| sQ48_spl
| ~ sQ49_spl
| ~ sQ50_spl
| sQ51_spl
| ~ sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| ~ sQ56_spl
| ~ sQ57_spl
| sQ58_spl
| ~ sQ59_spl
| sQ60_spl
| ~ sQ61_spl
| ~ sQ62_spl
| ~ sQ63_spl
| ~ sQ65_spl
| ~ sQ66_spl
| sQ67_spl
| ~ sQ68_spl
| ~ sQ69_spl
| ~ sQ70_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| sQ74_spl
| sQ75_spl
| ~ sQ76_spl
| ~ sQ77_spl
| ~ sQ78_spl
| ~ sQ79_spl
| ~ sQ80_spl
| ~ sQ81_spl
| ~ sQ82_spl
| ~ sQ83_spl
| sQ84_spl
| ~ sQ85_spl
| ~ sQ86_spl
| sQ87_spl
| ~ sQ88_spl
| ~ sQ89_spl
| ~ sQ90_spl
| ~ sQ91_spl
| ~ sQ92_spl
| sQ93_spl
| ~ sQ94_spl
| ~ sQ95_spl
| sQ96_spl
| ~ sQ97_spl
| ~ sQ98_spl
| ~ sQ99_spl
| ~ sQ100_spl
| ~ sQ101_spl
| ~ sQ102_spl
| sQ103_spl
| ~ sQ104_spl
| sQ105_spl
| ~ sQ106_spl
| ~ sQ107_spl
| ~ sQ108_spl
| ~ sQ109_spl
| ~ sQ110_spl
| ~ sQ111_spl
| ~ sQ112_spl
| sQ114_spl
| ~ sQ115_spl
| sQ116_spl
| ~ sQ117_spl
| ~ sQ118_spl
| ~ sQ119_spl
| ~ sQ120_spl
| ~ sQ121_spl
| sQ122_spl
| ~ sQ123_spl
| ~ sQ124_spl
| ~ sQ125_spl
| ~ sQ126_spl
| sQ127_spl
| ~ sQ129_spl
| ~ sQ130_spl
| sQ131_spl
| ~ sQ132_spl
| ~ sQ133_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
| ~ sQ156_spl
| ~ sQ158_spl
| ~ sQ159_spl
| ~ sQ160_spl
| sQ161_spl
| sQ162_spl
| sQ163_spl
| sQ164_spl
| ~ sQ165_spl
| sQ166_spl
| ~ sQ167_spl
| sQ168_spl
| ~ sQ169_spl
| ~ sQ170_spl
| ~ sQ171_spl
| ~ sQ172_spl
| sQ173_spl
| ~ sQ175_spl
| ~ sQ177_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
| sQ210_spl
| sQ211_spl
| ~ sQ212_spl
| ~ sQ213_spl
| ~ sQ214_spl
| ~ sQ215_spl
| ~ sQ216_spl
| ~ sQ217_spl
| sQ218_spl
| ~ sQ219_spl
| ~ sQ220_spl
| ~ sQ221_spl
| sQ222_spl
| ~ sQ223_spl
| ~ sQ224_spl
| ~ sQ225_spl
| ~ sQ226_spl
| sQ227_spl
| sQ228_spl
| ~ sQ229_spl
| ~ sQ230_spl
| ~ sQ231_spl
| ~ sQ232_spl
| ~ sQ233_spl
| sQ234_spl
| sQ235_spl
| sQ236_spl
| ~ sQ237_spl
| ~ sQ238_spl
| ~ sQ239_spl
| ~ sQ240_spl
| ~ sQ242_spl
| sQ243_spl
| ~ sQ244_spl
| ~ sQ246_spl
| ~ sQ247_spl
| ~ sQ248_spl
| ~ sQ249_spl
| ~ sQ250_spl
| ~ sQ251_spl
| sQ252_spl
| ~ sQ253_spl
| ~ sQ254_spl
| ~ sQ255_spl
| sQ257_spl
| ~ sQ258_spl
| sQ259_spl
| sQ260_spl
| sQ261_spl
| sQ262_spl
| ~ sQ263_spl
| sQ264_spl
| ~ sQ265_spl
| ~ sQ266_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP126-3.005 : 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 : n009.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
% 0.11/0.35 % DateTime : Sun Sep 20 20:00:28 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 4.80/1.17 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 4.80/1.17 % SZS output start Saturation for theBenchmark
% See solution above
% 0.48/1.22 % Elapsed time: 0.862268 seconds
% 0.48/1.22 % CPU time: 6.193272 seconds
% 0.48/1.22 % Total memory used: 36.810 MB
% 0.48/1.22 % Net memory used: 35.010 MB
%------------------------------------------------------------------------------