%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP130-3.004 : 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 : n014.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 12:35:59 PM UTC 2026
% Result : Satisfiable 9.80s 1.75s
% Output : Saturation 1.23s
% 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,
greater(e_1,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
greater(e_4,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y,Z] :
( equalish(Y,Z)
| ~ cycle(X,Z)
| ~ cycle(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X] :
( 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(f17,axiom,
cycle(e_4,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,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(f19,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(f20,axiom,
! [X,Y] :
( ~ greater(Y,X)
| ~ product(X,e_1,Y)
| ~ cycle(X,e_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,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(f22,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [X,Y] :
( 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(f39,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
! [X,Y,Z1,Z2] :
( product(Z2,Y,X)
| ~ product(X,Z1,Z2)
| ~ product(X,Y,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,plain,
next(e_0,e_1),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
next(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f45,plain,
next(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f46,plain,
next(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f47,plain,
greater(e_1,e_0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f48,plain,
greater(e_2,e_0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f49,plain,
greater(e_3,e_0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f50,plain,
greater(e_4,e_0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f51,plain,
greater(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f52,plain,
greater(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f53,plain,
greater(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f54,plain,
greater(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f55,plain,
greater(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f56,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f57,plain,
! [Y,Z] :
( equalish(Y,Z)
| ! [X] :
( ~ cycle(X,Z)
| ~ cycle(X,Y) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f58,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ cycle(X0,X2)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [X0] :
( cycle(X0,e_3)
| cycle(X0,e_2)
| cycle(X0,e_1)
| cycle(X0,e_0)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f60,plain,
cycle(e_4,e_0),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f61,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)],[f18]) ).
fof(f62,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)],[f61]) ).
fof(f63,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)],[f19]) ).
fof(f64,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)],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ product(X0,e_1,X1)
| ~ cycle(X0,e_0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f66,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)],[f21]) ).
fof(f67,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)],[f66]) ).
fof(f68,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f69,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f70,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f71,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f72,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f73,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f74,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f75,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f76,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f77,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f78,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f79,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f80,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f81,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f82,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f83,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f84,plain,
! [X0,X1] :
( 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)],[f38]) ).
fof(f85,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f86,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f87,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f89,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
! [X,Y,Z2] :
( product(Z2,Y,X)
| ! [Z1] :
( ~ product(X,Z1,Z2)
| ~ product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( product(X3,X1,X0)
| ~ product(X0,X2,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f94,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f59,f70]) ).
fof(f95,plain,
( cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f59,f69]) ).
fof(f96,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f59,f68]) ).
fof(f97,definition,
( sQ0_spl
<=> cycle(e_4,e_0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( sQ0_spl
| ~ cycle(e_4,e_0) ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,definition,
( sQ1_spl
<=> cycle(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f101,plain,
( ~ sQ1_spl
| cycle(e_4,e_1) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,definition,
( sQ2_spl
<=> cycle(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f104,plain,
( ~ sQ2_spl
| cycle(e_4,e_2) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,definition,
( sQ3_spl
<=> cycle(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f107,plain,
( ~ sQ3_spl
| cycle(e_4,e_3) ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f110,definition,
( sQ4_spl
<=> cycle(e_3,e_0) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( ~ sQ4_spl
| cycle(e_3,e_0) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f112,plain,
( sQ4_spl
| ~ cycle(e_3,e_0) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,definition,
( sQ5_spl
<=> cycle(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( ~ sQ5_spl
| cycle(e_3,e_1) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f115,plain,
( sQ5_spl
| ~ cycle(e_3,e_1) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,definition,
( sQ6_spl
<=> cycle(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( ~ sQ6_spl
| cycle(e_3,e_2) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f118,plain,
( sQ6_spl
| ~ cycle(e_3,e_2) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,definition,
( sQ7_spl
<=> cycle(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f120,plain,
( ~ sQ7_spl
| cycle(e_3,e_3) ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f121,plain,
( sQ7_spl
| ~ cycle(e_3,e_3) ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f94,f110,f113,f116,f119]) ).
fof(f123,definition,
( sQ8_spl
<=> cycle(e_2,e_0) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( ~ sQ8_spl
| cycle(e_2,e_0) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f125,plain,
( sQ8_spl
| ~ cycle(e_2,e_0) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,definition,
( sQ9_spl
<=> cycle(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f127,plain,
( ~ sQ9_spl
| cycle(e_2,e_1) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f128,plain,
( sQ9_spl
| ~ cycle(e_2,e_1) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,definition,
( sQ10_spl
<=> cycle(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ10_spl
| cycle(e_2,e_2) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f131,plain,
( sQ10_spl
| ~ cycle(e_2,e_2) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,definition,
( sQ11_spl
<=> cycle(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( ~ sQ11_spl
| cycle(e_2,e_3) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f134,plain,
( sQ11_spl
| ~ cycle(e_2,e_3) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f95,f123,f126,f129,f132]) ).
fof(f136,definition,
( sQ12_spl
<=> cycle(e_1,e_0) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ12_spl
| cycle(e_1,e_0) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f138,plain,
( sQ12_spl
| ~ cycle(e_1,e_0) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,definition,
( sQ13_spl
<=> cycle(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( ~ sQ13_spl
| cycle(e_1,e_1) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f141,plain,
( sQ13_spl
| ~ cycle(e_1,e_1) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,definition,
( sQ14_spl
<=> cycle(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( ~ sQ14_spl
| cycle(e_1,e_2) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f144,plain,
( sQ14_spl
| ~ cycle(e_1,e_2) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f145,definition,
( sQ15_spl
<=> cycle(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ15_spl
| cycle(e_1,e_3) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f147,plain,
( sQ15_spl
| ~ cycle(e_1,e_3) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f96,f136,f139,f142,f145]) ).
fof(f149,plain,
! [X0] :
( 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)],[f84,f71]) ).
fof(f150,plain,
! [X0] :
( 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)],[f84,f70]) ).
fof(f151,plain,
! [X0] :
( 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)],[f84,f69]) ).
fof(f152,plain,
! [X0] :
( 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)],[f84,f68]) ).
fof(f153,plain,
( 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)],[f149,f71]) ).
fof(f154,plain,
( 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)],[f149,f70]) ).
fof(f155,plain,
( 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)],[f149,f69]) ).
fof(f156,plain,
( 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)],[f149,f68]) ).
fof(f157,definition,
( sQ16_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ16_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f159,plain,
( sQ16_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,definition,
( sQ17_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( ~ sQ17_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f162,plain,
( sQ17_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,definition,
( sQ18_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( ~ sQ18_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f165,plain,
( sQ18_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,definition,
( sQ19_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ19_spl
| product(e_4,e_4,e_4) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f168,plain,
( sQ19_spl
| ~ product(e_4,e_4,e_4) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f153,f157,f160,f163,f166]) ).
fof(f170,definition,
( sQ20_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( ~ sQ20_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f172,plain,
( sQ20_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,definition,
( sQ21_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( ~ sQ21_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f175,plain,
( sQ21_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,definition,
( sQ22_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( ~ sQ22_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f178,plain,
( sQ22_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,definition,
( sQ23_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ23_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f181,plain,
( sQ23_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f154,f170,f173,f176,f179]) ).
fof(f183,definition,
( sQ24_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( ~ sQ24_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f185,plain,
( sQ24_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,definition,
( sQ25_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ25_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f188,plain,
( sQ25_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,definition,
( sQ26_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f190,plain,
( ~ sQ26_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f191,plain,
( sQ26_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,definition,
( sQ27_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ27_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f194,plain,
( sQ27_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f155,f183,f186,f189,f192]) ).
fof(f196,definition,
( sQ28_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ28_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f198,plain,
( sQ28_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,definition,
( sQ29_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ29_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f201,plain,
( sQ29_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,definition,
( sQ30_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ30_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,definition,
( sQ31_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( ~ sQ31_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f207,plain,
( sQ31_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f156,f196,f199,f202,f205]) ).
fof(f209,plain,
( 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)],[f150,f71]) ).
fof(f210,plain,
( 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)],[f150,f70]) ).
fof(f211,plain,
( 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)],[f150,f69]) ).
fof(f212,plain,
( 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)],[f150,f68]) ).
fof(f213,definition,
( sQ32_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ32_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f215,plain,
( sQ32_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,definition,
( sQ33_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( ~ sQ33_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f218,plain,
( sQ33_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,definition,
( sQ34_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ34_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f221,plain,
( sQ34_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,definition,
( sQ35_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ35_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f224,plain,
( sQ35_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f209,f213,f216,f219,f222]) ).
fof(f226,definition,
( sQ36_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ36_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f228,plain,
( sQ36_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,definition,
( sQ37_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ37_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f231,plain,
( sQ37_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,definition,
( sQ38_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ38_spl
| product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f234,plain,
( sQ38_spl
| ~ product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,definition,
( sQ39_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ39_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f237,plain,
( sQ39_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f210,f226,f229,f232,f235]) ).
fof(f239,definition,
( sQ40_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ40_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f241,plain,
( sQ40_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,definition,
( sQ41_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( ~ sQ41_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f244,plain,
( sQ41_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,definition,
( sQ42_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( ~ sQ42_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f247,plain,
( sQ42_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,definition,
( sQ43_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ43_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f250,plain,
( sQ43_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f211,f239,f242,f245,f248]) ).
fof(f252,definition,
( sQ44_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ44_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f254,plain,
( sQ44_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,definition,
( sQ45_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( ~ sQ45_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f257,plain,
( sQ45_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,definition,
( sQ46_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ46_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f260,plain,
( sQ46_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,definition,
( sQ47_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( ~ sQ47_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f263,plain,
( sQ47_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f212,f252,f255,f258,f261]) ).
fof(f265,plain,
( 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)],[f151,f71]) ).
fof(f266,plain,
( 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)],[f151,f70]) ).
fof(f267,plain,
( 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)],[f151,f69]) ).
fof(f268,plain,
( 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)],[f151,f68]) ).
fof(f269,definition,
( sQ48_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( ~ sQ48_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f271,plain,
( sQ48_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,definition,
( sQ49_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ49_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f274,plain,
( sQ49_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,definition,
( sQ50_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ50_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f277,plain,
( sQ50_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ51_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ51_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f280,plain,
( sQ51_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f265,f269,f272,f275,f278]) ).
fof(f282,definition,
( sQ52_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ52_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f284,plain,
( sQ52_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,definition,
( sQ53_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ53_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f287,plain,
( sQ53_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,definition,
( sQ54_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ54_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f290,plain,
( sQ54_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ55_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ55_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f293,plain,
( sQ55_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f266,f282,f285,f288,f291]) ).
fof(f295,definition,
( sQ56_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ56_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f297,plain,
( sQ56_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,definition,
( sQ57_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ57_spl
| product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f300,plain,
( sQ57_spl
| ~ product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,definition,
( sQ58_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ58_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f303,plain,
( sQ58_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,definition,
( sQ59_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ59_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f306,plain,
( sQ59_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f267,f295,f298,f301,f304]) ).
fof(f308,definition,
( sQ60_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ60_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f310,plain,
( sQ60_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,definition,
( sQ61_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ61_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f313,plain,
( sQ61_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,definition,
( sQ62_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ62_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f316,plain,
( sQ62_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,definition,
( sQ63_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ63_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f319,plain,
( sQ63_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f268,f308,f311,f314,f317]) ).
fof(f321,plain,
( 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)],[f152,f71]) ).
fof(f322,plain,
( 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)],[f152,f70]) ).
fof(f323,plain,
( 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)],[f152,f69]) ).
fof(f324,plain,
( 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)],[f152,f68]) ).
fof(f325,definition,
( sQ64_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( ~ sQ64_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f327,plain,
( sQ64_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,definition,
( sQ65_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f329,plain,
( ~ sQ65_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f330,plain,
( sQ65_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,definition,
( sQ66_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f332,plain,
( ~ sQ66_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f333,plain,
( sQ66_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,definition,
( sQ67_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ67_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f336,plain,
( sQ67_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f321,f325,f328,f331,f334]) ).
fof(f338,definition,
( sQ68_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( ~ sQ68_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f340,plain,
( sQ68_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,definition,
( sQ69_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( ~ sQ69_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f343,plain,
( sQ69_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,definition,
( sQ70_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f345,plain,
( ~ sQ70_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f346,plain,
( sQ70_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,definition,
( sQ71_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( ~ sQ71_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f349,plain,
( sQ71_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f322,f338,f341,f344,f347]) ).
fof(f351,definition,
( sQ72_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( ~ sQ72_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f353,plain,
( sQ72_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,definition,
( sQ73_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ73_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f356,plain,
( sQ73_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,definition,
( sQ74_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( ~ sQ74_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f359,plain,
( sQ74_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,definition,
( sQ75_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ75_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f362,plain,
( sQ75_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,plain,
( sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f323,f351,f354,f357,f360]) ).
fof(f364,definition,
( sQ76_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ76_spl
| product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f366,plain,
( sQ76_spl
| ~ product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,definition,
( sQ77_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ77_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f369,plain,
( sQ77_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,definition,
( sQ78_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ78_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f372,plain,
( sQ78_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,definition,
( sQ79_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( ~ sQ79_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f375,plain,
( sQ79_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f324,f364,f367,f370,f373]) ).
fof(f377,plain,
! [X0] :
( equalish(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f60,f58]) ).
fof(f378,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_3)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f146,f58]) ).
fof(f379,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_2)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f143,f58]) ).
fof(f380,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_1)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f140,f58]) ).
fof(f381,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f137,f58]) ).
fof(f382,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f62,f137]) ).
fof(f383,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f62,f140]) ).
fof(f384,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f62,f143]) ).
fof(f385,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f62,f146]) ).
fof(f386,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f62,f60]) ).
fof(f387,plain,
! [X0,X1,X2,X3] :
( equalish(e_4,X3)
| ~ next(X2,X3)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f62,f50]) ).
fof(f388,plain,
! [X0,X1,X2,X3] :
( equalish(e_3,X3)
| ~ next(X2,X3)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f62,f49]) ).
fof(f389,plain,
! [X0,X1,X2,X3] :
( equalish(e_2,X3)
| ~ next(X2,X3)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f62,f48]) ).
fof(f390,plain,
! [X0,X1,X2,X3] :
( equalish(e_1,X3)
| ~ next(X2,X3)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f62,f47]) ).
fof(f391,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ next(e_1,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f64,f137]) ).
fof(f392,plain,
! [X0,X1,X2,X3] :
( ~ sQ12_spl
| ~ greater(X1,X3)
| ~ greater(e_1,X0)
| ~ next(e_1,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f64,f137]) ).
fof(f393,plain,
! [X0,X1] :
( ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ next(e_4,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f64,f60]) ).
fof(f394,plain,
! [X0,X1,X2,X3] :
( ~ greater(X1,X3)
| ~ greater(e_4,X0)
| ~ next(e_4,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f64,f60]) ).
fof(f395,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f64,f137]) ).
fof(f396,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f64,f140]) ).
fof(f397,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f64,f143]) ).
fof(f398,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f64,f146]) ).
fof(f399,plain,
! [X0,X1,X2] :
( ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f64,f60]) ).
fof(f401,plain,
! [X0,X1,X2] :
( ~ greater(X0,X2)
| ~ next(e_4,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f64,f56]) ).
fof(f403,plain,
! [X0,X1,X2] :
( ~ greater(X0,X2)
| ~ next(e_4,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f64,f55]) ).
fof(f405,plain,
! [X0,X1,X2] :
( ~ greater(X0,X2)
| ~ next(e_4,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f64,f53]) ).
fof(f407,plain,
! [X0,X1,X2] :
( ~ greater(X0,X2)
| ~ next(e_4,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f64,f50]) ).
fof(f408,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f64,f54]) ).
fof(f409,plain,
! [X0,X1,X2] :
( ~ greater(X0,X2)
| ~ next(e_3,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f64,f54]) ).
fof(f410,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f64,f52]) ).
fof(f411,plain,
! [X0,X1,X2] :
( ~ greater(X0,X2)
| ~ next(e_3,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f64,f52]) ).
fof(f412,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f64,f49]) ).
fof(f413,plain,
! [X0,X1,X2] :
( ~ greater(X0,X2)
| ~ next(e_3,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f64,f49]) ).
fof(f414,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f64,f51]) ).
fof(f415,plain,
! [X0,X1,X2] :
( ~ greater(X0,X2)
| ~ next(e_2,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f64,f51]) ).
fof(f416,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f64,f48]) ).
fof(f417,plain,
! [X0,X1,X2] :
( ~ greater(X0,X2)
| ~ next(e_2,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f64,f48]) ).
fof(f418,plain,
! [X0] :
( ~ next(e_1,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f64,f47]) ).
fof(f419,plain,
! [X0,X1,X2] :
( ~ greater(X0,X2)
| ~ next(e_1,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f64,f47]) ).
fof(f420,plain,
! [X0,X1,X2] :
( ~ greater(X1,X0)
| ~ next(X1,X2)
| ~ cycle(X2,e_3)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f64,f56]) ).
fof(f421,plain,
! [X0,X1,X2] :
( ~ greater(X1,X0)
| ~ next(X1,X2)
| ~ cycle(X2,e_2)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f64,f55]) ).
fof(f422,plain,
! [X0,X1,X2] :
( ~ greater(X1,X0)
| ~ next(X1,X2)
| ~ cycle(X2,e_1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f64,f53]) ).
fof(f423,plain,
! [X0,X1,X2] :
( ~ greater(X1,X0)
| ~ next(X1,X2)
| ~ cycle(X2,e_0)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f64,f50]) ).
fof(f424,plain,
! [X0,X1,X2] :
( ~ greater(X1,X0)
| ~ next(X1,X2)
| ~ cycle(X2,e_2)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f64,f54]) ).
fof(f425,plain,
! [X0,X1,X2] :
( ~ greater(X1,X0)
| ~ next(X1,X2)
| ~ cycle(X2,e_1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f64,f52]) ).
fof(f426,plain,
! [X0,X1,X2] :
( ~ greater(X1,X0)
| ~ next(X1,X2)
| ~ cycle(X2,e_0)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f64,f49]) ).
fof(f427,plain,
! [X0,X1,X2] :
( ~ greater(X1,X0)
| ~ next(X1,X2)
| ~ cycle(X2,e_1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f64,f51]) ).
fof(f428,plain,
! [X0,X1,X2] :
( ~ greater(X1,X0)
| ~ next(X1,X2)
| ~ cycle(X2,e_0)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f64,f48]) ).
fof(f429,plain,
! [X0,X1,X2] :
( ~ greater(X1,X0)
| ~ next(X1,X2)
| ~ cycle(X2,e_0)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f64,f47]) ).
fof(f430,definition,
! [X0,X1] :
( sQ80_spl
<=> ( ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f431,plain,
! [X0,X1] :
( ~ sQ80_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,definition,
( sQ81_spl
<=> next(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( sQ81_spl
| ~ next(e_1,e_1) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,plain,
( ~ sQ12_spl
| ~ sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f391,f430,f433,f136]) ).
fof(f437,definition,
! [X0,X1] :
( sQ82_spl
<=> ( ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f438,plain,
! [X0,X1] :
( ~ sQ82_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ83_spl
<=> next(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( sQ83_spl
| ~ next(e_4,e_4) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( ~ sQ83_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f393,f437,f440]) ).
fof(f444,definition,
( sQ84_spl
<=> cycle(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( sQ84_spl
| ~ cycle(e_3,e_4) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,definition,
! [X0] :
( sQ85_spl
<=> ( ~ next(e_4,X0)
| ~ cycle(X0,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f448,plain,
! [X0] :
( ~ sQ85_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_3) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f451,definition,
! [X0,X1,X2] :
( sQ86_spl
<=> ( ~ greater(X0,X2)
| ~ next(e_4,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f452,plain,
! [X0,X1,X2] :
( ~ sQ86_spl
| ~ greater(X0,X2)
| ~ next(e_4,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_3,X0) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( ~ sQ0_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f401,f451,f97]) ).
fof(f455,definition,
( sQ87_spl
<=> cycle(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( sQ87_spl
| ~ cycle(e_2,e_4) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,definition,
! [X0] :
( sQ88_spl
<=> ( ~ next(e_4,X0)
| ~ cycle(X0,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f459,plain,
! [X0] :
( ~ sQ88_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_2) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f462,definition,
! [X0,X1,X2] :
( sQ89_spl
<=> ( ~ greater(X0,X2)
| ~ next(e_4,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f463,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ greater(X0,X2)
| ~ next(e_4,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_2,X0) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,plain,
( ~ sQ0_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f403,f462,f97]) ).
fof(f466,definition,
( sQ90_spl
<=> cycle(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( sQ90_spl
| ~ cycle(e_1,e_4) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,definition,
! [X0] :
( sQ91_spl
<=> ( ~ next(e_4,X0)
| ~ cycle(X0,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f470,plain,
! [X0] :
( ~ sQ91_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_1) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f473,definition,
! [X0,X1,X2] :
( sQ92_spl
<=> ( ~ greater(X0,X2)
| ~ next(e_4,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f474,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| ~ greater(X0,X2)
| ~ next(e_4,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_1,X0) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,plain,
( ~ sQ0_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f405,f473,f97]) ).
fof(f477,definition,
( sQ93_spl
<=> cycle(e_0,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( sQ93_spl
| ~ cycle(e_0,e_4) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,definition,
! [X0] :
( sQ94_spl
<=> ( ~ next(e_4,X0)
| ~ cycle(X0,e_0) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f481,plain,
! [X0] :
( ~ sQ94_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_0) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f484,definition,
! [X0,X1,X2] :
( sQ95_spl
<=> ( ~ greater(X0,X2)
| ~ next(e_4,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f485,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| ~ greater(X0,X2)
| ~ next(e_4,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_0,X0) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( ~ sQ0_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f407,f484,f97]) ).
fof(f488,definition,
! [X0] :
( sQ96_spl
<=> ( ~ next(e_3,X0)
| ~ cycle(X0,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f489,plain,
! [X0] :
( ~ sQ96_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_2) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,plain,
( sQ96_spl
| ~ sQ4_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f408,f132,f110,f488]) ).
fof(f492,definition,
! [X0,X1,X2] :
( sQ97_spl
<=> ( ~ greater(X0,X2)
| ~ next(e_3,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f493,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| ~ greater(X0,X2)
| ~ next(e_3,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_2,X0) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,plain,
( ~ sQ4_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f409,f492,f110]) ).
fof(f496,definition,
! [X0] :
( sQ98_spl
<=> ( ~ next(e_3,X0)
| ~ cycle(X0,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f497,plain,
! [X0] :
( ~ sQ98_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_1) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,plain,
( sQ98_spl
| ~ sQ4_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f410,f145,f110,f496]) ).
fof(f500,definition,
! [X0,X1,X2] :
( sQ99_spl
<=> ( ~ greater(X0,X2)
| ~ next(e_3,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f501,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| ~ greater(X0,X2)
| ~ next(e_3,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_1,X0) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( ~ sQ4_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f411,f500,f110]) ).
fof(f504,definition,
( sQ100_spl
<=> cycle(e_0,e_3) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( sQ100_spl
| ~ cycle(e_0,e_3) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,definition,
! [X0] :
( sQ101_spl
<=> ( ~ next(e_3,X0)
| ~ cycle(X0,e_0) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f508,plain,
! [X0] :
( ~ sQ101_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_0) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,plain,
( sQ101_spl
| ~ sQ4_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f412,f504,f110,f507]) ).
fof(f511,definition,
! [X0,X1,X2] :
( sQ102_spl
<=> ( ~ greater(X0,X2)
| ~ next(e_3,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f512,plain,
! [X0,X1,X2] :
( ~ sQ102_spl
| ~ greater(X0,X2)
| ~ next(e_3,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_0,X0) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,plain,
( ~ sQ4_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f413,f511,f110]) ).
fof(f515,definition,
! [X0] :
( sQ103_spl
<=> ( ~ next(e_2,X0)
| ~ cycle(X0,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f516,plain,
! [X0] :
( ~ sQ103_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_1) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( sQ103_spl
| ~ sQ8_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f414,f142,f123,f515]) ).
fof(f519,definition,
! [X0,X1,X2] :
( sQ104_spl
<=> ( ~ greater(X0,X2)
| ~ next(e_2,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f520,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ greater(X0,X2)
| ~ next(e_2,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_1,X0) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( ~ sQ8_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f415,f519,f123]) ).
fof(f523,definition,
( sQ105_spl
<=> cycle(e_0,e_2) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( sQ105_spl
| ~ cycle(e_0,e_2) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
! [X0] :
( sQ106_spl
<=> ( ~ next(e_2,X0)
| ~ cycle(X0,e_0) ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f527,plain,
! [X0] :
( ~ sQ106_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_0) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( sQ106_spl
| ~ sQ8_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f416,f523,f123,f526]) ).
fof(f530,definition,
! [X0,X1,X2] :
( sQ107_spl
<=> ( ~ greater(X0,X2)
| ~ next(e_2,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f531,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ greater(X0,X2)
| ~ next(e_2,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_0,X0) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( ~ sQ8_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f417,f530,f123]) ).
fof(f534,definition,
( sQ108_spl
<=> cycle(e_0,e_1) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( sQ108_spl
| ~ cycle(e_0,e_1) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,definition,
! [X0] :
( sQ109_spl
<=> ( ~ next(e_1,X0)
| ~ cycle(X0,e_0) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f538,plain,
! [X0] :
( ~ sQ109_spl
| ~ next(e_1,X0)
| ~ cycle(X0,e_0) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( sQ109_spl
| ~ sQ12_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f418,f534,f136,f537]) ).
fof(f541,definition,
! [X0,X1,X2] :
( sQ110_spl
<=> ( ~ greater(X0,X2)
| ~ next(e_1,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f542,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ greater(X0,X2)
| ~ next(e_1,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_0,X0) ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( ~ sQ12_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f419,f541,f136]) ).
fof(f545,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f99,f60]) ).
fof(f546,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f545]) ).
fof(f547,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f130,f64]) ).
fof(f548,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f130,f62]) ).
fof(f549,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_2)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f130,f58]) ).
fof(f550,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f127,f64]) ).
fof(f551,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f127,f62]) ).
fof(f552,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_1)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f127,f58]) ).
fof(f553,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f120,f64]) ).
fof(f554,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f120,f62]) ).
fof(f555,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f120,f58]) ).
fof(f556,plain,
equalish(e_0,e_0),
inference(resolution,[status(thm)],[f377,f60]) ).
fof(f557,plain,
! [X0,X1] :
( ~ sQ31_spl
| equalish(e_4,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f206,f67]) ).
fof(f558,plain,
( ~ sQ31_spl
| ~ greater(e_4,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f206,f65]) ).
fof(f559,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f206,f90]) ).
fof(f560,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f206,f88]) ).
fof(f561,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f206,f86]) ).
fof(f562,plain,
! [X0] :
( ~ sQ31_spl
| product(e_4,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f206,f92]) ).
fof(f563,definition,
! [X0] :
( sQ111_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f564,plain,
! [X0] :
( ~ sQ111_spl
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f566,definition,
! [X1] :
( sQ112_spl
<=> ( equalish(e_4,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f567,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_4,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,plain,
( ~ sQ31_spl
| sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f557,f563,f566,f205]) ).
fof(f570,definition,
( sQ113_spl
<=> greater(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( sQ113_spl
| ~ greater(e_4,e_4) ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f573,plain,
( ~ sQ31_spl
| ~ sQ113_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f558,f97,f570,f205]) ).
fof(f574,plain,
! [X0,X1] :
( ~ sQ30_spl
| equalish(e_3,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f203,f67]) ).
fof(f575,plain,
( ~ sQ30_spl
| ~ greater(e_3,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f203,f65]) ).
fof(f576,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f203,f90]) ).
fof(f577,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f203,f88]) ).
fof(f578,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f203,f86]) ).
fof(f579,plain,
! [X0] :
( ~ sQ30_spl
| product(e_3,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f203,f92]) ).
fof(f580,definition,
! [X1] :
( sQ114_spl
<=> ( equalish(e_3,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f581,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_3,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,plain,
( ~ sQ30_spl
| sQ114_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f574,f563,f580,f202]) ).
fof(f584,definition,
( sQ115_spl
<=> greater(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( sQ115_spl
| ~ greater(e_3,e_4) ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( ~ sQ30_spl
| ~ sQ115_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f575,f97,f584,f202]) ).
fof(f588,plain,
! [X0,X1] :
( ~ sQ29_spl
| equalish(e_2,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f200,f67]) ).
fof(f589,plain,
( ~ sQ29_spl
| ~ greater(e_2,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f200,f65]) ).
fof(f590,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f200,f90]) ).
fof(f591,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f200,f88]) ).
fof(f592,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f200,f86]) ).
fof(f593,plain,
! [X0] :
( ~ sQ29_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f200,f92]) ).
fof(f594,definition,
! [X1] :
( sQ116_spl
<=> ( equalish(e_2,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f595,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,plain,
( ~ sQ29_spl
| sQ116_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f588,f563,f594,f199]) ).
fof(f598,definition,
( sQ117_spl
<=> greater(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( sQ117_spl
| ~ greater(e_2,e_4) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,plain,
( ~ sQ29_spl
| ~ sQ117_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f589,f97,f598,f199]) ).
fof(f602,plain,
! [X0,X1] :
( ~ sQ28_spl
| equalish(e_1,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f197,f67]) ).
fof(f603,plain,
( ~ sQ28_spl
| ~ greater(e_1,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f197,f65]) ).
fof(f604,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f197,f90]) ).
fof(f605,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f197,f88]) ).
fof(f606,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f197,f86]) ).
fof(f607,plain,
! [X0] :
( ~ sQ28_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f197,f92]) ).
fof(f608,definition,
! [X1] :
( sQ118_spl
<=> ( equalish(e_1,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f609,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_1,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,plain,
( ~ sQ28_spl
| sQ118_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f602,f563,f608,f196]) ).
fof(f612,definition,
( sQ119_spl
<=> greater(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f614,plain,
( sQ119_spl
| ~ greater(e_1,e_4) ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,plain,
( ~ sQ28_spl
| ~ sQ119_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f603,f97,f612,f196]) ).
fof(f616,plain,
! [X0,X1] :
( equalish(e_4,X1)
| ~ next(e_0,X1)
| ~ next(X0,e_4)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f386,f50]) ).
fof(f617,plain,
! [X0,X1] :
( equalish(e_3,X1)
| ~ next(e_0,X1)
| ~ next(X0,e_4)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f386,f49]) ).
fof(f618,plain,
! [X0,X1] :
( equalish(e_2,X1)
| ~ next(e_0,X1)
| ~ next(X0,e_4)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f386,f48]) ).
fof(f619,plain,
! [X0,X1] :
( equalish(e_1,X1)
| ~ next(e_0,X1)
| ~ next(X0,e_4)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f386,f47]) ).
fof(f620,definition,
! [X0] :
( sQ120_spl
<=> ( ~ next(X0,e_4)
| ~ cycle(X0,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f621,plain,
! [X0] :
( ~ sQ120_spl
| ~ next(X0,e_4)
| ~ cycle(X0,e_4) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,definition,
! [X1] :
( sQ121_spl
<=> ( equalish(e_4,X1)
| ~ next(e_0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f624,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_4,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,plain,
( sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f616,f620,f623]) ).
fof(f627,definition,
! [X0] :
( sQ122_spl
<=> ( ~ next(X0,e_4)
| ~ cycle(X0,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f628,plain,
! [X0] :
( ~ sQ122_spl
| ~ next(X0,e_4)
| ~ cycle(X0,e_3) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,definition,
! [X1] :
( sQ123_spl
<=> ( equalish(e_3,X1)
| ~ next(e_0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f631,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_3,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,plain,
( sQ123_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f617,f627,f630]) ).
fof(f634,definition,
! [X0] :
( sQ124_spl
<=> ( ~ next(X0,e_4)
| ~ cycle(X0,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f635,plain,
! [X0] :
( ~ sQ124_spl
| ~ next(X0,e_4)
| ~ cycle(X0,e_2) ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f637,definition,
! [X1] :
( sQ125_spl
<=> ( equalish(e_2,X1)
| ~ next(e_0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f638,plain,
! [X0] :
( ~ sQ125_spl
| equalish(e_2,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f640,plain,
( sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f618,f634,f637]) ).
fof(f641,definition,
! [X0] :
( sQ126_spl
<=> ( ~ next(X0,e_4)
| ~ cycle(X0,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f642,plain,
! [X0] :
( ~ sQ126_spl
| ~ next(X0,e_4)
| ~ cycle(X0,e_1) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,definition,
! [X1] :
( sQ127_spl
<=> ( equalish(e_1,X1)
| ~ next(e_0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f645,plain,
! [X0] :
( ~ sQ127_spl
| equalish(e_1,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,plain,
( sQ127_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f619,f641,f644]) ).
fof(f648,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f388,f120]) ).
fof(f649,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f389,f130]) ).
fof(f650,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f390,f127]) ).
fof(f651,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f390,f140]) ).
fof(f652,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ next(e_4,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f394,f120]) ).
fof(f653,plain,
! [X0,X1] :
( ~ sQ9_spl
| ~ greater(X1,e_1)
| ~ greater(e_4,X0)
| ~ next(e_4,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f394,f127]) ).
fof(f654,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ greater(X1,e_2)
| ~ greater(e_4,X0)
| ~ next(e_4,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f394,f130]) ).
fof(f655,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ greater(X1,e_1)
| ~ greater(e_4,X0)
| ~ next(e_4,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f394,f140]) ).
fof(f657,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f394,f56]) ).
fof(f658,plain,
! [X0,X1,X2] :
( ~ greater(X0,X2)
| ~ next(e_4,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f394,f56]) ).
fof(f659,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f394,f55]) ).
fof(f660,plain,
! [X0,X1,X2] :
( ~ greater(X0,X2)
| ~ next(e_4,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f394,f55]) ).
fof(f661,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f394,f53]) ).
fof(f662,plain,
! [X0,X1,X2] :
( ~ greater(X0,X2)
| ~ next(e_4,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f394,f53]) ).
fof(f663,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f394,f50]) ).
fof(f664,plain,
! [X0,X1,X2] :
( ~ greater(X0,X2)
| ~ next(e_4,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f394,f50]) ).
fof(f665,plain,
! [X0,X1] :
( ~ greater(e_4,X0)
| ~ next(e_4,X1)
| ~ cycle(X1,e_3)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f394,f56]) ).
fof(f666,plain,
! [X0,X1] :
( ~ greater(e_4,X0)
| ~ next(e_4,X1)
| ~ cycle(X1,e_2)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f394,f55]) ).
fof(f667,plain,
! [X0,X1] :
( ~ greater(e_4,X0)
| ~ next(e_4,X1)
| ~ cycle(X1,e_1)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f394,f53]) ).
fof(f668,plain,
! [X0,X1] :
( ~ greater(e_4,X0)
| ~ next(e_4,X1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f394,f50]) ).
fof(f669,plain,
! [X0,X1] :
( ~ greater(e_4,X0)
| ~ next(e_4,X1)
| ~ cycle(X1,e_2)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f394,f54]) ).
fof(f670,plain,
! [X0,X1] :
( ~ greater(e_4,X0)
| ~ next(e_4,X1)
| ~ cycle(X1,e_1)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f394,f52]) ).
fof(f671,plain,
! [X0,X1] :
( ~ greater(e_4,X0)
| ~ next(e_4,X1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f394,f49]) ).
fof(f672,plain,
! [X0,X1] :
( ~ greater(e_4,X0)
| ~ next(e_4,X1)
| ~ cycle(X1,e_1)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f394,f51]) ).
fof(f673,plain,
! [X0,X1] :
( ~ greater(e_4,X0)
| ~ next(e_4,X1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f394,f48]) ).
fof(f674,plain,
! [X0,X1] :
( ~ greater(e_4,X0)
| ~ next(e_4,X1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f394,f47]) ).
fof(f675,definition,
! [X0,X1] :
( sQ128_spl
<=> ( ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f676,plain,
! [X0,X1] :
( ~ sQ128_spl
| ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,definition,
( sQ129_spl
<=> next(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f680,plain,
( sQ129_spl
| ~ next(e_4,e_3) ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,plain,
( ~ sQ7_spl
| ~ sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f652,f675,f678,f119]) ).
fof(f682,definition,
! [X0,X1] :
( sQ130_spl
<=> ( ~ greater(X1,e_1)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f683,plain,
! [X0,X1] :
( ~ sQ130_spl
| ~ greater(X1,e_1)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f685,definition,
( sQ131_spl
<=> next(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f687,plain,
( sQ131_spl
| ~ next(e_4,e_2) ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f688,plain,
( ~ sQ9_spl
| ~ sQ131_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f653,f682,f685,f126]) ).
fof(f689,definition,
! [X0,X1] :
( sQ132_spl
<=> ( ~ greater(X1,e_2)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f690,plain,
! [X0,X1] :
( ~ sQ132_spl
| ~ greater(X1,e_2)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f689]) ).
fof(f692,plain,
( ~ sQ10_spl
| ~ sQ131_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f654,f689,f685,f129]) ).
fof(f693,definition,
( sQ133_spl
<=> next(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( sQ133_spl
| ~ next(e_4,e_1) ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,plain,
( ~ sQ13_spl
| ~ sQ133_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f655,f682,f693,f139]) ).
fof(f698,plain,
( sQ85_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f657,f444,f447]) ).
fof(f699,plain,
( sQ88_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f659,f455,f458]) ).
fof(f700,plain,
( sQ91_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f661,f466,f469]) ).
fof(f701,plain,
( sQ94_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f663,f477,f480]) ).
fof(f702,definition,
! [X0] :
( sQ134_spl
<=> ( ~ greater(e_4,X0)
| ~ cycle(X0,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f703,plain,
! [X0] :
( ~ sQ134_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_4) ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f705,plain,
( sQ85_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f665,f702,f447]) ).
fof(f706,plain,
( sQ88_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f666,f702,f458]) ).
fof(f707,plain,
( sQ91_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f667,f702,f469]) ).
fof(f708,plain,
( sQ94_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f668,f702,f480]) ).
fof(f709,definition,
! [X0] :
( sQ135_spl
<=> ( ~ greater(e_4,X0)
| ~ cycle(X0,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f710,plain,
! [X0] :
( ~ sQ135_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_3) ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f712,plain,
( sQ88_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f669,f709,f458]) ).
fof(f713,plain,
( sQ91_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f670,f709,f469]) ).
fof(f714,plain,
( sQ94_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f671,f709,f480]) ).
fof(f715,definition,
! [X0] :
( sQ136_spl
<=> ( ~ greater(e_4,X0)
| ~ cycle(X0,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f716,plain,
! [X0] :
( ~ sQ136_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_2) ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,plain,
( sQ91_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f672,f715,f469]) ).
fof(f719,plain,
( sQ94_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f673,f715,f480]) ).
fof(f720,definition,
! [X0] :
( sQ137_spl
<=> ( ~ greater(e_4,X0)
| ~ cycle(X0,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f721,plain,
! [X0] :
( ~ sQ137_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_1) ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,plain,
( sQ94_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f674,f720,f480]) ).
fof(f725,plain,
! [X0] :
( ~ greater(X0,e_0)
| ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f399,f56]) ).
fof(f726,plain,
! [X0] :
( ~ greater(X0,e_0)
| ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f399,f55]) ).
fof(f727,plain,
! [X0] :
( ~ greater(X0,e_0)
| ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f399,f53]) ).
fof(f728,plain,
( ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f399,f50]) ).
fof(f729,plain,
! [X0] :
( ~ greater(X0,e_0)
| ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f399,f50]) ).
fof(f730,plain,
! [X0] :
( ~ greater(X0,e_0)
| ~ next(e_3,e_4)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f399,f54]) ).
fof(f731,plain,
! [X0] :
( ~ greater(X0,e_0)
| ~ next(e_3,e_4)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f399,f52]) ).
fof(f732,plain,
( ~ next(e_3,e_4)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f399,f49]) ).
fof(f733,plain,
! [X0] :
( ~ greater(X0,e_0)
| ~ next(e_3,e_4)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f399,f49]) ).
fof(f734,plain,
! [X0] :
( ~ greater(X0,e_0)
| ~ next(e_2,e_4)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f399,f51]) ).
fof(f735,plain,
( ~ next(e_2,e_4)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f399,f48]) ).
fof(f736,plain,
! [X0] :
( ~ greater(X0,e_0)
| ~ next(e_2,e_4)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f399,f48]) ).
fof(f737,plain,
( ~ next(e_1,e_4)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f399,f47]) ).
fof(f738,plain,
! [X0] :
( ~ greater(X0,e_0)
| ~ next(e_1,e_4)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f399,f47]) ).
fof(f739,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ next(X1,e_4)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f399,f50]) ).
fof(f740,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ next(X1,e_4)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f399,f49]) ).
fof(f741,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ next(X1,e_4)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f399,f48]) ).
fof(f742,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ next(X1,e_4)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f399,f47]) ).
fof(f744,definition,
! [X0] :
( sQ138_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f745,plain,
! [X0] :
( ~ sQ138_spl
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f725,f744,f97,f440]) ).
fof(f748,definition,
! [X0] :
( sQ139_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f749,plain,
! [X0] :
( ~ sQ139_spl
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f751,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f726,f748,f97,f440]) ).
fof(f752,definition,
! [X0] :
( sQ140_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f753,plain,
! [X0] :
( ~ sQ140_spl
| ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f727,f752,f97,f440]) ).
fof(f756,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f728,f477,f97,f440]) ).
fof(f757,definition,
! [X0] :
( sQ141_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f758,plain,
! [X0] :
( ~ sQ141_spl
| ~ greater(X0,e_0)
| ~ cycle(e_0,X0) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f760,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f729,f757,f97,f440]) ).
fof(f761,definition,
( sQ142_spl
<=> next(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( sQ142_spl
| ~ next(e_3,e_4) ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f764,plain,
( ~ sQ142_spl
| ~ sQ4_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f730,f748,f110,f761]) ).
fof(f765,plain,
( ~ sQ142_spl
| ~ sQ4_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f731,f752,f110,f761]) ).
fof(f766,plain,
( ~ sQ142_spl
| ~ sQ4_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f732,f504,f110,f761]) ).
fof(f767,plain,
( ~ sQ142_spl
| ~ sQ4_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f733,f757,f110,f761]) ).
fof(f768,definition,
( sQ143_spl
<=> next(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f770,plain,
( sQ143_spl
| ~ next(e_2,e_4) ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( ~ sQ143_spl
| ~ sQ8_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f734,f752,f123,f768]) ).
fof(f772,plain,
( ~ sQ143_spl
| ~ sQ8_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f735,f523,f123,f768]) ).
fof(f773,plain,
( ~ sQ143_spl
| ~ sQ8_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f736,f757,f123,f768]) ).
fof(f774,definition,
( sQ144_spl
<=> next(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( sQ144_spl
| ~ next(e_1,e_4) ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f777,plain,
( ~ sQ144_spl
| ~ sQ12_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f737,f534,f136,f774]) ).
fof(f778,plain,
( ~ sQ144_spl
| ~ sQ12_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f738,f757,f136,f774]) ).
fof(f779,plain,
( sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f763,f46]) ).
fof(f780,plain,
sQ142_spl,
inference(contradiction_clause,[status(thm)],[f779]) ).
fof(f782,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f420,f55]) ).
fof(f783,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f420,f53]) ).
fof(f784,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f420,f50]) ).
fof(f785,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f420,f54]) ).
fof(f786,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f420,f52]) ).
fof(f787,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f420,f49]) ).
fof(f788,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f420,f51]) ).
fof(f789,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f420,f48]) ).
fof(f790,plain,
! [X0] :
( ~ next(e_1,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f420,f47]) ).
fof(f792,plain,
( sQ85_spl
| ~ sQ0_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f782,f455,f97,f447]) ).
fof(f793,plain,
( sQ85_spl
| ~ sQ0_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f783,f466,f97,f447]) ).
fof(f794,plain,
( sQ85_spl
| ~ sQ0_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f784,f477,f97,f447]) ).
fof(f795,definition,
! [X0] :
( sQ145_spl
<=> ( ~ next(e_3,X0)
| ~ cycle(X0,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f796,plain,
! [X0] :
( ~ sQ145_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_3) ),
inference(component_clause,[status(thm)],[f795]) ).
fof(f798,plain,
( sQ145_spl
| ~ sQ4_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f785,f455,f110,f795]) ).
fof(f799,plain,
( sQ145_spl
| ~ sQ4_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f786,f466,f110,f795]) ).
fof(f800,plain,
( sQ145_spl
| ~ sQ4_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f787,f477,f110,f795]) ).
fof(f801,definition,
! [X0] :
( sQ146_spl
<=> ( ~ next(e_2,X0)
| ~ cycle(X0,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f802,plain,
! [X0] :
( ~ sQ146_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_3) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( sQ146_spl
| ~ sQ8_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f788,f466,f123,f801]) ).
fof(f805,plain,
( sQ146_spl
| ~ sQ8_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f789,f477,f123,f801]) ).
fof(f806,definition,
! [X0] :
( sQ147_spl
<=> ( ~ next(e_1,X0)
| ~ cycle(X0,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f807,plain,
! [X0] :
( ~ sQ147_spl
| ~ next(e_1,X0)
| ~ cycle(X0,e_3) ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( sQ147_spl
| ~ sQ12_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f790,f477,f136,f806]) ).
fof(f810,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ greater(X1,X0)
| ~ next(X1,e_2)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f421,f130]) ).
fof(f811,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f421,f56]) ).
fof(f813,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f421,f53]) ).
fof(f814,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f421,f50]) ).
fof(f815,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f421,f54]) ).
fof(f816,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f421,f52]) ).
fof(f817,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f421,f49]) ).
fof(f818,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f421,f51]) ).
fof(f819,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f421,f48]) ).
fof(f820,plain,
! [X0] :
( ~ next(e_1,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f421,f47]) ).
fof(f821,plain,
( sQ88_spl
| ~ sQ0_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f811,f444,f97,f458]) ).
fof(f823,plain,
( sQ88_spl
| ~ sQ0_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f813,f466,f97,f458]) ).
fof(f824,plain,
( sQ88_spl
| ~ sQ0_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f814,f477,f97,f458]) ).
fof(f825,plain,
( sQ96_spl
| ~ sQ4_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f815,f455,f110,f488]) ).
fof(f826,plain,
( sQ96_spl
| ~ sQ4_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f816,f466,f110,f488]) ).
fof(f827,plain,
( sQ96_spl
| ~ sQ4_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f817,f477,f110,f488]) ).
fof(f828,definition,
! [X0] :
( sQ148_spl
<=> ( ~ next(e_2,X0)
| ~ cycle(X0,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f829,plain,
! [X0] :
( ~ sQ148_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_2) ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f831,plain,
( sQ148_spl
| ~ sQ8_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f818,f466,f123,f828]) ).
fof(f832,plain,
( sQ148_spl
| ~ sQ8_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f819,f477,f123,f828]) ).
fof(f833,definition,
! [X0] :
( sQ149_spl
<=> ( ~ next(e_1,X0)
| ~ cycle(X0,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f834,plain,
! [X0] :
( ~ sQ149_spl
| ~ next(e_1,X0)
| ~ cycle(X0,e_2) ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,plain,
( sQ149_spl
| ~ sQ12_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f820,f477,f136,f833]) ).
fof(f837,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ greater(X1,X0)
| ~ next(X1,e_1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f422,f140]) ).
fof(f838,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f422,f56]) ).
fof(f839,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f422,f55]) ).
fof(f841,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f422,f50]) ).
fof(f842,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f422,f54]) ).
fof(f843,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f422,f52]) ).
fof(f844,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f422,f49]) ).
fof(f845,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f422,f51]) ).
fof(f846,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f422,f48]) ).
fof(f847,plain,
! [X0] :
( ~ next(e_1,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f422,f47]) ).
fof(f848,plain,
( sQ91_spl
| ~ sQ0_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f838,f444,f97,f469]) ).
fof(f849,plain,
( sQ91_spl
| ~ sQ0_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f839,f455,f97,f469]) ).
fof(f851,plain,
( sQ91_spl
| ~ sQ0_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f841,f477,f97,f469]) ).
fof(f852,plain,
( sQ98_spl
| ~ sQ4_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f842,f455,f110,f496]) ).
fof(f853,plain,
( sQ98_spl
| ~ sQ4_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f843,f466,f110,f496]) ).
fof(f854,plain,
( sQ98_spl
| ~ sQ4_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f844,f477,f110,f496]) ).
fof(f855,plain,
( sQ103_spl
| ~ sQ8_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f845,f466,f123,f515]) ).
fof(f856,plain,
( sQ103_spl
| ~ sQ8_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f846,f477,f123,f515]) ).
fof(f857,definition,
! [X0] :
( sQ150_spl
<=> ( ~ next(e_1,X0)
| ~ cycle(X0,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f858,plain,
! [X0] :
( ~ sQ150_spl
| ~ next(e_1,X0)
| ~ cycle(X0,e_1) ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f860,plain,
( sQ150_spl
| ~ sQ12_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f847,f477,f136,f857]) ).
fof(f861,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f423,f56]) ).
fof(f862,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f423,f55]) ).
fof(f863,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f423,f53]) ).
fof(f865,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f423,f54]) ).
fof(f866,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f423,f52]) ).
fof(f867,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f423,f49]) ).
fof(f868,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f423,f51]) ).
fof(f869,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f423,f48]) ).
fof(f870,plain,
! [X0] :
( ~ next(e_1,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f423,f47]) ).
fof(f871,plain,
( sQ94_spl
| ~ sQ0_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f861,f444,f97,f480]) ).
fof(f872,plain,
( sQ94_spl
| ~ sQ0_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f862,f455,f97,f480]) ).
fof(f873,plain,
( sQ94_spl
| ~ sQ0_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f863,f466,f97,f480]) ).
fof(f875,plain,
( sQ101_spl
| ~ sQ4_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f865,f455,f110,f507]) ).
fof(f876,plain,
( sQ101_spl
| ~ sQ4_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f866,f466,f110,f507]) ).
fof(f877,plain,
( sQ101_spl
| ~ sQ4_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f867,f477,f110,f507]) ).
fof(f878,plain,
( sQ106_spl
| ~ sQ8_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f868,f466,f123,f526]) ).
fof(f879,plain,
( sQ106_spl
| ~ sQ8_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f869,f477,f123,f526]) ).
fof(f880,plain,
( sQ109_spl
| ~ sQ12_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f870,f477,f136,f537]) ).
fof(f881,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_3) ),
inference(resolution,[status(thm)],[f424,f56]) ).
fof(f882,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f424,f55]) ).
fof(f883,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f424,f53]) ).
fof(f884,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f424,f50]) ).
fof(f886,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f424,f52]) ).
fof(f887,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f424,f49]) ).
fof(f888,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f424,f51]) ).
fof(f889,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f424,f48]) ).
fof(f890,plain,
! [X0] :
( ~ next(e_1,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f424,f47]) ).
fof(f891,plain,
( sQ88_spl
| ~ sQ0_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f881,f119,f97,f458]) ).
fof(f892,plain,
( sQ88_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f882,f132,f97,f458]) ).
fof(f893,plain,
( sQ88_spl
| ~ sQ0_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f883,f145,f97,f458]) ).
fof(f894,plain,
( sQ88_spl
| ~ sQ0_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f884,f504,f97,f458]) ).
fof(f896,plain,
( sQ96_spl
| ~ sQ4_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f886,f145,f110,f488]) ).
fof(f897,plain,
( sQ96_spl
| ~ sQ4_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f887,f504,f110,f488]) ).
fof(f898,plain,
( sQ148_spl
| ~ sQ8_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f888,f145,f123,f828]) ).
fof(f899,plain,
( sQ148_spl
| ~ sQ8_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f889,f504,f123,f828]) ).
fof(f900,plain,
( sQ149_spl
| ~ sQ12_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f890,f504,f136,f833]) ).
fof(f901,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ greater(X1,X0)
| ~ next(X1,e_3)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f117,f421]) ).
fof(f902,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f117,f389]) ).
fof(f903,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ greater(X1,e_2)
| ~ greater(e_4,X0)
| ~ next(e_4,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f117,f394]) ).
fof(f904,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f117,f64]) ).
fof(f905,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f117,f62]) ).
fof(f906,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f117,f58]) ).
fof(f907,plain,
( ~ sQ6_spl
| ~ sQ129_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f903,f689,f678,f116]) ).
fof(f908,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ greater(X1,X0)
| ~ next(X1,e_1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f425,f140]) ).
fof(f909,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_3) ),
inference(resolution,[status(thm)],[f425,f56]) ).
fof(f910,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f425,f55]) ).
fof(f911,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f425,f53]) ).
fof(f912,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f425,f50]) ).
fof(f913,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f425,f54]) ).
fof(f915,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f425,f49]) ).
fof(f916,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f425,f51]) ).
fof(f917,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f425,f48]) ).
fof(f918,plain,
! [X0] :
( ~ next(e_1,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f425,f47]) ).
fof(f919,plain,
( sQ91_spl
| ~ sQ0_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f909,f119,f97,f469]) ).
fof(f920,plain,
( sQ91_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f910,f132,f97,f469]) ).
fof(f921,plain,
( sQ91_spl
| ~ sQ0_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f911,f145,f97,f469]) ).
fof(f922,plain,
( sQ91_spl
| ~ sQ0_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f912,f504,f97,f469]) ).
fof(f923,plain,
( sQ98_spl
| ~ sQ4_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f913,f132,f110,f496]) ).
fof(f925,plain,
( sQ98_spl
| ~ sQ4_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f915,f504,f110,f496]) ).
fof(f926,plain,
( sQ103_spl
| ~ sQ8_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f916,f145,f123,f515]) ).
fof(f927,plain,
( sQ103_spl
| ~ sQ8_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f917,f504,f123,f515]) ).
fof(f928,plain,
( sQ150_spl
| ~ sQ12_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f918,f504,f136,f857]) ).
fof(f929,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ greater(X1,X0)
| ~ next(X1,e_3)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f114,f425]) ).
fof(f930,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ greater(X1,X0)
| ~ next(X1,e_3)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f114,f422]) ).
fof(f931,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f114,f390]) ).
fof(f932,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ greater(X1,e_1)
| ~ greater(e_4,X0)
| ~ next(e_4,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f114,f394]) ).
fof(f933,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f114,f64]) ).
fof(f934,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f114,f62]) ).
fof(f935,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_1)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f114,f58]) ).
fof(f936,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f932,f682,f678,f113]) ).
fof(f937,plain,
( ~ sQ3_spl
| equalish(e_3,e_0) ),
inference(resolution,[status(thm)],[f107,f377]) ).
fof(f938,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ greater(X1,X0)
| ~ next(X1,e_4)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f107,f420]) ).
fof(f939,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f107,f388]) ).
fof(f940,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ next(e_4,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f107,f394]) ).
fof(f941,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f107,f64]) ).
fof(f942,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f107,f62]) ).
fof(f943,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_3)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f107,f58]) ).
fof(f944,plain,
( ~ sQ3_spl
| ~ sQ83_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f940,f675,f440,f106]) ).
fof(f945,plain,
( ~ sQ2_spl
| equalish(e_2,e_0) ),
inference(resolution,[status(thm)],[f104,f377]) ).
fof(f946,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ greater(X1,X0)
| ~ next(X1,e_4)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f104,f421]) ).
fof(f947,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f104,f389]) ).
fof(f948,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ greater(X1,e_2)
| ~ greater(e_4,X0)
| ~ next(e_4,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f104,f394]) ).
fof(f949,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f104,f64]) ).
fof(f950,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f104,f62]) ).
fof(f951,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_2)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f104,f58]) ).
fof(f952,plain,
( ~ sQ2_spl
| ~ sQ83_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f948,f689,f440,f103]) ).
fof(f953,plain,
( ~ sQ1_spl
| equalish(e_1,e_0) ),
inference(resolution,[status(thm)],[f101,f377]) ).
fof(f954,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ greater(X1,X0)
| ~ next(X1,e_4)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f101,f425]) ).
fof(f955,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ greater(X1,X0)
| ~ next(X1,e_4)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f101,f422]) ).
fof(f956,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f101,f390]) ).
fof(f957,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ greater(X1,e_1)
| ~ greater(e_4,X0)
| ~ next(e_4,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f101,f394]) ).
fof(f958,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f101,f64]) ).
fof(f959,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f101,f62]) ).
fof(f960,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_1)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f101,f58]) ).
fof(f961,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f957,f682,f440,f100]) ).
fof(f962,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_3) ),
inference(resolution,[status(thm)],[f426,f56]) ).
fof(f963,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f426,f55]) ).
fof(f964,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f426,f53]) ).
fof(f965,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f426,f50]) ).
fof(f966,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f426,f54]) ).
fof(f967,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f426,f52]) ).
fof(f969,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f426,f51]) ).
fof(f970,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f426,f48]) ).
fof(f971,plain,
! [X0] :
( ~ next(e_1,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f426,f47]) ).
fof(f972,plain,
( sQ94_spl
| ~ sQ0_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f962,f119,f97,f480]) ).
fof(f973,plain,
( sQ94_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f963,f132,f97,f480]) ).
fof(f974,plain,
( sQ94_spl
| ~ sQ0_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f964,f145,f97,f480]) ).
fof(f975,plain,
( sQ94_spl
| ~ sQ0_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f965,f504,f97,f480]) ).
fof(f976,plain,
( sQ101_spl
| ~ sQ4_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f966,f132,f110,f507]) ).
fof(f977,plain,
( sQ101_spl
| ~ sQ4_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f967,f145,f110,f507]) ).
fof(f979,plain,
( sQ106_spl
| ~ sQ8_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f969,f145,f123,f526]) ).
fof(f980,plain,
( sQ106_spl
| ~ sQ8_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f970,f504,f123,f526]) ).
fof(f981,plain,
( sQ109_spl
| ~ sQ12_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f971,f504,f136,f537]) ).
fof(f982,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ greater(X1,X0)
| ~ next(X1,e_3)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f427,f114]) ).
fof(f983,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ greater(X1,X0)
| ~ next(X1,e_1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f427,f140]) ).
fof(f984,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_2) ),
inference(resolution,[status(thm)],[f427,f56]) ).
fof(f985,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[f427,f55]) ).
fof(f986,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f427,f53]) ).
fof(f987,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f427,f50]) ).
fof(f988,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[f427,f54]) ).
fof(f989,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f427,f52]) ).
fof(f990,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f427,f49]) ).
fof(f992,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f427,f48]) ).
fof(f993,plain,
! [X0] :
( ~ next(e_1,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f427,f47]) ).
fof(f994,plain,
( sQ91_spl
| ~ sQ0_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f984,f116,f97,f469]) ).
fof(f995,plain,
( sQ91_spl
| ~ sQ0_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f985,f129,f97,f469]) ).
fof(f996,plain,
( sQ91_spl
| ~ sQ0_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f986,f142,f97,f469]) ).
fof(f997,plain,
( sQ91_spl
| ~ sQ0_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f987,f523,f97,f469]) ).
fof(f998,plain,
( sQ98_spl
| ~ sQ4_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f988,f129,f110,f496]) ).
fof(f999,plain,
( sQ98_spl
| ~ sQ4_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f989,f142,f110,f496]) ).
fof(f1000,plain,
( sQ98_spl
| ~ sQ4_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f990,f523,f110,f496]) ).
fof(f1002,plain,
( sQ103_spl
| ~ sQ8_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f992,f523,f123,f515]) ).
fof(f1003,plain,
( sQ150_spl
| ~ sQ12_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f993,f523,f136,f857]) ).
fof(f1004,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_2) ),
inference(resolution,[status(thm)],[f428,f56]) ).
fof(f1005,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[f428,f55]) ).
fof(f1006,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f428,f53]) ).
fof(f1007,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f428,f50]) ).
fof(f1008,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[f428,f54]) ).
fof(f1009,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f428,f52]) ).
fof(f1010,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f428,f49]) ).
fof(f1011,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f428,f51]) ).
fof(f1013,plain,
! [X0] :
( ~ next(e_1,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f428,f47]) ).
fof(f1014,plain,
( sQ94_spl
| ~ sQ0_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1004,f116,f97,f480]) ).
fof(f1015,plain,
( sQ94_spl
| ~ sQ0_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1005,f129,f97,f480]) ).
fof(f1016,plain,
( sQ94_spl
| ~ sQ0_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1006,f142,f97,f480]) ).
fof(f1017,plain,
( sQ94_spl
| ~ sQ0_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f1007,f523,f97,f480]) ).
fof(f1018,plain,
( sQ101_spl
| ~ sQ4_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1008,f129,f110,f507]) ).
fof(f1019,plain,
( sQ101_spl
| ~ sQ4_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1009,f142,f110,f507]) ).
fof(f1020,plain,
( sQ101_spl
| ~ sQ4_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f1010,f523,f110,f507]) ).
fof(f1021,plain,
( sQ106_spl
| ~ sQ8_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1011,f142,f123,f526]) ).
fof(f1023,plain,
( sQ109_spl
| ~ sQ12_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f1013,f523,f136,f537]) ).
fof(f1024,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_1) ),
inference(resolution,[status(thm)],[f429,f56]) ).
fof(f1025,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_1) ),
inference(resolution,[status(thm)],[f429,f55]) ).
fof(f1026,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_1) ),
inference(resolution,[status(thm)],[f429,f53]) ).
fof(f1027,plain,
! [X0] :
( ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f429,f50]) ).
fof(f1028,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_1) ),
inference(resolution,[status(thm)],[f429,f54]) ).
fof(f1029,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_1) ),
inference(resolution,[status(thm)],[f429,f52]) ).
fof(f1030,plain,
! [X0] :
( ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f429,f49]) ).
fof(f1031,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_1) ),
inference(resolution,[status(thm)],[f429,f51]) ).
fof(f1032,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f429,f48]) ).
fof(f1034,plain,
( sQ94_spl
| ~ sQ0_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1024,f113,f97,f480]) ).
fof(f1035,plain,
( sQ94_spl
| ~ sQ0_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1025,f126,f97,f480]) ).
fof(f1036,plain,
( sQ94_spl
| ~ sQ0_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1026,f139,f97,f480]) ).
fof(f1037,plain,
( sQ94_spl
| ~ sQ0_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f1027,f534,f97,f480]) ).
fof(f1038,plain,
( sQ101_spl
| ~ sQ4_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1028,f126,f110,f507]) ).
fof(f1039,plain,
( sQ101_spl
| ~ sQ4_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1029,f139,f110,f507]) ).
fof(f1040,plain,
( sQ101_spl
| ~ sQ4_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f1030,f534,f110,f507]) ).
fof(f1041,plain,
( sQ106_spl
| ~ sQ8_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1031,f139,f123,f526]) ).
fof(f1042,plain,
( sQ106_spl
| ~ sQ8_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f1032,f534,f123,f526]) ).
fof(f1044,plain,
! [X0] :
( ~ sQ82_spl
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f438,f56]) ).
fof(f1045,plain,
! [X0] :
( ~ sQ82_spl
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f438,f55]) ).
fof(f1046,plain,
! [X0] :
( ~ sQ82_spl
| ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f438,f53]) ).
fof(f1047,plain,
( ~ sQ82_spl
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f438,f50]) ).
fof(f1048,plain,
! [X0] :
( ~ sQ82_spl
| ~ greater(X0,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f438,f50]) ).
fof(f1049,plain,
! [X0] :
( ~ sQ82_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f438,f50]) ).
fof(f1050,plain,
! [X0] :
( ~ sQ82_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f438,f49]) ).
fof(f1051,plain,
! [X0] :
( ~ sQ82_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f438,f48]) ).
fof(f1052,plain,
! [X0] :
( ~ sQ82_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f438,f47]) ).
fof(f1053,plain,
! [X0,X1] :
( ~ sQ14_spl
| ~ greater(X1,X0)
| ~ next(X1,e_1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f143,f421]) ).
fof(f1054,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f143,f389]) ).
fof(f1055,plain,
! [X0,X1] :
( ~ sQ14_spl
| ~ greater(X1,e_2)
| ~ greater(e_4,X0)
| ~ next(e_4,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f143,f394]) ).
fof(f1056,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f143,f64]) ).
fof(f1057,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f143,f62]) ).
fof(f1058,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_2)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f143,f58]) ).
fof(f1059,plain,
( ~ sQ14_spl
| ~ sQ133_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1055,f689,f693,f142]) ).
fof(f1067,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ greater(X1,X0)
| ~ next(X1,e_3)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f117,f421]) ).
fof(f1068,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f117,f389]) ).
fof(f1070,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f117,f64]) ).
fof(f1071,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f117,f62]) ).
fof(f1072,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f117,f58]) ).
fof(f1074,plain,
! [X0] :
( ~ sQ110_spl
| ~ next(e_1,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f542,f56]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ110_spl
| ~ next(e_1,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f542,f55]) ).
fof(f1076,plain,
! [X0] :
( ~ sQ110_spl
| ~ next(e_1,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f542,f53]) ).
fof(f1077,plain,
! [X0] :
( ~ sQ110_spl
| ~ next(e_1,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f542,f50]) ).
fof(f1078,plain,
! [X0] :
( ~ sQ110_spl
| ~ next(e_1,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f542,f54]) ).
fof(f1079,plain,
! [X0] :
( ~ sQ110_spl
| ~ next(e_1,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f542,f52]) ).
fof(f1080,plain,
! [X0] :
( ~ sQ110_spl
| ~ next(e_1,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f542,f49]) ).
fof(f1081,plain,
! [X0] :
( ~ sQ110_spl
| ~ next(e_1,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f542,f51]) ).
fof(f1082,plain,
! [X0] :
( ~ sQ110_spl
| ~ next(e_1,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f542,f48]) ).
fof(f1083,plain,
! [X0] :
( ~ sQ110_spl
| ~ next(e_1,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f542,f47]) ).
fof(f1084,plain,
( ~ sQ110_spl
| sQ147_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1074,f477,f806,f541]) ).
fof(f1085,plain,
( ~ sQ110_spl
| sQ149_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1075,f477,f833,f541]) ).
fof(f1086,plain,
( ~ sQ110_spl
| sQ150_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1076,f477,f857,f541]) ).
fof(f1087,plain,
( ~ sQ110_spl
| sQ109_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1077,f477,f537,f541]) ).
fof(f1088,plain,
( ~ sQ110_spl
| sQ149_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f1078,f504,f833,f541]) ).
fof(f1089,plain,
( ~ sQ110_spl
| sQ150_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f1079,f504,f857,f541]) ).
fof(f1090,plain,
( ~ sQ110_spl
| sQ109_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f1080,f504,f537,f541]) ).
fof(f1091,plain,
( ~ sQ110_spl
| sQ150_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f1081,f523,f857,f541]) ).
fof(f1092,plain,
( ~ sQ110_spl
| sQ109_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f1082,f523,f537,f541]) ).
fof(f1093,plain,
( ~ sQ110_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f1083,f534,f537,f541]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ107_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f531,f56]) ).
fof(f1096,plain,
! [X0] :
( ~ sQ107_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f531,f55]) ).
fof(f1097,plain,
! [X0] :
( ~ sQ107_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f531,f53]) ).
fof(f1098,plain,
! [X0] :
( ~ sQ107_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f531,f50]) ).
fof(f1099,plain,
! [X0] :
( ~ sQ107_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f531,f54]) ).
fof(f1100,plain,
! [X0] :
( ~ sQ107_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f531,f52]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ107_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f531,f49]) ).
fof(f1102,plain,
! [X0] :
( ~ sQ107_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f531,f51]) ).
fof(f1103,plain,
! [X0] :
( ~ sQ107_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f531,f48]) ).
fof(f1104,plain,
! [X0] :
( ~ sQ107_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f531,f47]) ).
fof(f1105,plain,
( ~ sQ107_spl
| sQ146_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1095,f477,f801,f530]) ).
fof(f1106,plain,
( ~ sQ107_spl
| sQ148_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1096,f477,f828,f530]) ).
fof(f1107,plain,
( ~ sQ107_spl
| sQ103_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1097,f477,f515,f530]) ).
fof(f1108,plain,
( ~ sQ107_spl
| sQ106_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1098,f477,f526,f530]) ).
fof(f1109,plain,
( ~ sQ107_spl
| sQ148_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f1099,f504,f828,f530]) ).
fof(f1110,plain,
( ~ sQ107_spl
| sQ103_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f1100,f504,f515,f530]) ).
fof(f1111,plain,
( ~ sQ107_spl
| sQ106_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f1101,f504,f526,f530]) ).
fof(f1112,plain,
( ~ sQ107_spl
| sQ103_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f1102,f523,f515,f530]) ).
fof(f1113,plain,
( ~ sQ107_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f1103,f523,f526,f530]) ).
fof(f1114,plain,
( ~ sQ107_spl
| sQ106_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f1104,f534,f526,f530]) ).
fof(f1116,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f193,f90]) ).
fof(f1117,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f193,f88]) ).
fof(f1118,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f193,f86]) ).
fof(f1119,plain,
! [X0] :
( ~ sQ27_spl
| product(e_4,X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f193,f92]) ).
fof(f1120,plain,
! [X0] :
( ~ sQ27_spl
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f149,f1119]) ).
fof(f1121,plain,
( ~ sQ27_spl
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f1120,f71]) ).
fof(f1122,plain,
( ~ sQ27_spl
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1120,f70]) ).
fof(f1124,plain,
( ~ sQ27_spl
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f1120,f68]) ).
fof(f1125,plain,
( ~ sQ27_spl
| sQ19_spl
| sQ18_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f1121,f157,f163,f166,f192]) ).
fof(f1126,plain,
( ~ sQ27_spl
| sQ23_spl
| sQ22_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f1122,f170,f176,f179,f192]) ).
fof(f1128,plain,
( ~ sQ27_spl
| sQ31_spl
| sQ30_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f1124,f196,f202,f205,f192]) ).
fof(f1137,plain,
! [X0] :
( ~ sQ31_spl
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f149,f562]) ).
fof(f1138,plain,
( ~ sQ31_spl
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f1137,f71]) ).
fof(f1139,plain,
( ~ sQ31_spl
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1137,f70]) ).
fof(f1140,plain,
( ~ sQ31_spl
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f1137,f69]) ).
fof(f1142,plain,
( ~ sQ31_spl
| sQ19_spl
| sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1138,f160,f163,f166,f205]) ).
fof(f1143,plain,
( ~ sQ31_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1139,f173,f176,f179,f205]) ).
fof(f1144,plain,
( ~ sQ31_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1140,f186,f189,f192,f205]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f190,f90]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f190,f88]) ).
fof(f1156,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f190,f86]) ).
fof(f1157,plain,
! [X0] :
( ~ sQ26_spl
| product(e_3,X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f190,f92]) ).
fof(f1158,plain,
( ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1154,f190]) ).
fof(f1159,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1155,f190]) ).
fof(f1160,plain,
( ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1156,f190]) ).
fof(f1161,plain,
! [X0] :
( ~ sQ104_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f520,f56]) ).
fof(f1162,plain,
! [X0] :
( ~ sQ104_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f520,f55]) ).
fof(f1163,plain,
! [X0] :
( ~ sQ104_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f520,f53]) ).
fof(f1164,plain,
! [X0] :
( ~ sQ104_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f520,f50]) ).
fof(f1165,plain,
! [X0] :
( ~ sQ104_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f520,f54]) ).
fof(f1166,plain,
! [X0] :
( ~ sQ104_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f520,f52]) ).
fof(f1167,plain,
! [X0] :
( ~ sQ104_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f520,f49]) ).
fof(f1168,plain,
! [X0] :
( ~ sQ104_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f520,f51]) ).
fof(f1169,plain,
! [X0] :
( ~ sQ104_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f520,f48]) ).
fof(f1170,plain,
! [X0] :
( ~ sQ104_spl
| ~ next(e_2,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_1,e_1) ),
inference(resolution,[status(thm)],[f520,f47]) ).
fof(f1171,plain,
( ~ sQ104_spl
| sQ146_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f1161,f466,f801,f519]) ).
fof(f1172,plain,
( ~ sQ104_spl
| sQ148_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f1162,f466,f828,f519]) ).
fof(f1173,plain,
( ~ sQ104_spl
| sQ103_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f1163,f466,f515,f519]) ).
fof(f1174,plain,
( ~ sQ104_spl
| sQ106_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f1164,f466,f526,f519]) ).
fof(f1175,plain,
( ~ sQ104_spl
| sQ148_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1165,f145,f828,f519]) ).
fof(f1176,plain,
( ~ sQ104_spl
| sQ103_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1166,f145,f515,f519]) ).
fof(f1177,plain,
( ~ sQ104_spl
| sQ106_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1167,f145,f526,f519]) ).
fof(f1178,plain,
( ~ sQ104_spl
| sQ103_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1168,f142,f515,f519]) ).
fof(f1179,plain,
( ~ sQ104_spl
| sQ106_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1169,f142,f526,f519]) ).
fof(f1180,plain,
( ~ sQ104_spl
| sQ106_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1170,f139,f526,f519]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ102_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f512,f56]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ102_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f512,f55]) ).
fof(f1183,plain,
! [X0] :
( ~ sQ102_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f512,f53]) ).
fof(f1184,plain,
! [X0] :
( ~ sQ102_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f512,f50]) ).
fof(f1185,plain,
! [X0] :
( ~ sQ102_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f512,f54]) ).
fof(f1186,plain,
! [X0] :
( ~ sQ102_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f512,f52]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ102_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f512,f49]) ).
fof(f1188,plain,
! [X0] :
( ~ sQ102_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f512,f51]) ).
fof(f1189,plain,
! [X0] :
( ~ sQ102_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f512,f48]) ).
fof(f1190,plain,
! [X0] :
( ~ sQ102_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f512,f47]) ).
fof(f1191,plain,
( ~ sQ102_spl
| sQ145_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1181,f477,f795,f511]) ).
fof(f1192,plain,
( ~ sQ102_spl
| sQ96_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1182,f477,f488,f511]) ).
fof(f1193,plain,
( ~ sQ102_spl
| sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1183,f477,f496,f511]) ).
fof(f1194,plain,
( ~ sQ102_spl
| sQ101_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1184,f477,f507,f511]) ).
fof(f1195,plain,
( ~ sQ102_spl
| sQ96_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f1185,f504,f488,f511]) ).
fof(f1196,plain,
( ~ sQ102_spl
| sQ98_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f1186,f504,f496,f511]) ).
fof(f1197,plain,
( ~ sQ102_spl
| sQ101_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f1187,f504,f507,f511]) ).
fof(f1198,plain,
( ~ sQ102_spl
| sQ98_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f1188,f523,f496,f511]) ).
fof(f1199,plain,
( ~ sQ102_spl
| sQ101_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f1189,f523,f507,f511]) ).
fof(f1200,plain,
( ~ sQ102_spl
| sQ101_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f1190,f534,f507,f511]) ).
fof(f1201,plain,
( ~ sQ101_spl
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f508,f60]) ).
fof(f1202,plain,
( ~ sQ101_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f1201,f761,f507]) ).
fof(f1203,plain,
! [X0] :
( ~ sQ99_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f501,f56]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ99_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f501,f55]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ99_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f501,f53]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ99_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f501,f50]) ).
fof(f1207,plain,
! [X0] :
( ~ sQ99_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f501,f54]) ).
fof(f1208,plain,
! [X0] :
( ~ sQ99_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f501,f52]) ).
fof(f1209,plain,
! [X0] :
( ~ sQ99_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f501,f49]) ).
fof(f1210,plain,
! [X0] :
( ~ sQ99_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f501,f51]) ).
fof(f1211,plain,
! [X0] :
( ~ sQ99_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f501,f48]) ).
fof(f1212,plain,
! [X0] :
( ~ sQ99_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_1,e_1) ),
inference(resolution,[status(thm)],[f501,f47]) ).
fof(f1213,plain,
( ~ sQ99_spl
| sQ145_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f1203,f466,f795,f500]) ).
fof(f1214,plain,
( ~ sQ99_spl
| sQ96_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f1204,f466,f488,f500]) ).
fof(f1215,plain,
( ~ sQ99_spl
| sQ98_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f1205,f466,f496,f500]) ).
fof(f1216,plain,
( ~ sQ99_spl
| sQ101_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f1206,f466,f507,f500]) ).
fof(f1217,plain,
( ~ sQ99_spl
| sQ96_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1207,f145,f488,f500]) ).
fof(f1218,plain,
( ~ sQ99_spl
| sQ98_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1208,f145,f496,f500]) ).
fof(f1219,plain,
( ~ sQ99_spl
| sQ101_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1209,f145,f507,f500]) ).
fof(f1220,plain,
( ~ sQ99_spl
| sQ98_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1210,f142,f496,f500]) ).
fof(f1221,plain,
( ~ sQ99_spl
| sQ101_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1211,f142,f507,f500]) ).
fof(f1222,plain,
( ~ sQ99_spl
| sQ101_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1212,f139,f507,f500]) ).
fof(f1223,plain,
( ~ sQ106_spl
| ~ sQ12_spl
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f137,f527]) ).
fof(f1224,plain,
( ~ sQ109_spl
| ~ sQ12_spl
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f137,f538]) ).
fof(f1225,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ next(e_1,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f137,f399]) ).
fof(f1228,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ next(e_4,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f137,f394]) ).
fof(f1233,plain,
( ~ sQ12_spl
| ~ sQ144_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1225,f430,f774,f136]) ).
fof(f1235,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f1228,f437,f693,f136]) ).
fof(f1237,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f187,f1156]) ).
fof(f1238,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f187,f1157]) ).
fof(f1239,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f187,f90]) ).
fof(f1240,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f187,f88]) ).
fof(f1241,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f187,f86]) ).
fof(f1242,plain,
! [X0] :
( ~ sQ25_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f187,f92]) ).
fof(f1243,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1237,f76]) ).
fof(f1244,plain,
( ~ sQ26_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1243]) ).
fof(f1245,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f184,f1156]) ).
fof(f1246,plain,
( ~ sQ28_spl
| ~ sQ24_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f184,f605]) ).
fof(f1247,plain,
( ~ sQ28_spl
| ~ sQ24_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f184,f607]) ).
fof(f1248,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f184,f90]) ).
fof(f1249,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f184,f88]) ).
fof(f1250,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f184,f86]) ).
fof(f1251,plain,
! [X0] :
( ~ sQ24_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f184,f92]) ).
fof(f1252,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1245,f73]) ).
fof(f1253,plain,
( ~ sQ26_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1252]) ).
fof(f1262,plain,
( ~ sQ27_spl
| ~ sQ23_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f180,f1117]) ).
fof(f1263,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f180,f90]) ).
fof(f1264,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f180,f88]) ).
fof(f1265,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f180,f86]) ).
fof(f1266,plain,
! [X0] :
( ~ sQ23_spl
| product(e_4,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f180,f92]) ).
fof(f1267,plain,
( ~ sQ27_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1262,f79]) ).
fof(f1268,plain,
( ~ sQ27_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1267]) ).
fof(f1269,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f177,f90]) ).
fof(f1270,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f177,f88]) ).
fof(f1271,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f177,f86]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ22_spl
| product(e_3,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f177,f92]) ).
fof(f1273,plain,
( ~ sQ22_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f1272,f177]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1273,f90]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1273,f88]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1273,f86]) ).
fof(f1277,plain,
! [X0] :
( ~ sQ22_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1273,f92]) ).
fof(f1278,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1274,f1273]) ).
fof(f1280,plain,
( ~ sQ22_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1276,f1273]) ).
fof(f1284,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f174,f1271]) ).
fof(f1285,plain,
( ~ sQ27_spl
| ~ sQ21_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f174,f1119]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f174,f90]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f174,f88]) ).
fof(f1288,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f174,f86]) ).
fof(f1289,plain,
! [X0] :
( ~ sQ21_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f174,f92]) ).
fof(f1290,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1284,f76]) ).
fof(f1291,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1290]) ).
fof(f1292,plain,
! [X0] :
( ~ sQ97_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f493,f56]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ97_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f493,f55]) ).
fof(f1294,plain,
! [X0] :
( ~ sQ97_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f493,f53]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ97_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f493,f50]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ97_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f493,f54]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ97_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f493,f52]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ97_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f493,f49]) ).
fof(f1299,plain,
! [X0] :
( ~ sQ97_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[f493,f51]) ).
fof(f1300,plain,
! [X0] :
( ~ sQ97_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[f493,f48]) ).
fof(f1301,plain,
! [X0] :
( ~ sQ97_spl
| ~ next(e_3,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_2,e_1) ),
inference(resolution,[status(thm)],[f493,f47]) ).
fof(f1302,plain,
( ~ sQ97_spl
| sQ145_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f1292,f455,f795,f492]) ).
fof(f1303,plain,
( ~ sQ97_spl
| sQ96_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f1293,f455,f488,f492]) ).
fof(f1304,plain,
( ~ sQ97_spl
| sQ98_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f1294,f455,f496,f492]) ).
fof(f1305,plain,
( ~ sQ97_spl
| sQ101_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f1295,f455,f507,f492]) ).
fof(f1306,plain,
( ~ sQ97_spl
| sQ96_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1296,f132,f488,f492]) ).
fof(f1307,plain,
( ~ sQ97_spl
| sQ98_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1297,f132,f496,f492]) ).
fof(f1308,plain,
( ~ sQ97_spl
| sQ101_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1298,f132,f507,f492]) ).
fof(f1309,plain,
( ~ sQ97_spl
| sQ98_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1299,f129,f496,f492]) ).
fof(f1310,plain,
( ~ sQ97_spl
| sQ101_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1300,f129,f507,f492]) ).
fof(f1311,plain,
( ~ sQ97_spl
| sQ101_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1301,f126,f507,f492]) ).
fof(f1312,plain,
( ~ sQ6_spl
| ~ sQ96_spl
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f489,f117]) ).
fof(f1313,plain,
( ~ sQ10_spl
| ~ sQ96_spl
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f489,f130]) ).
fof(f1314,plain,
! [X0] :
( ~ sQ95_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f485,f56]) ).
fof(f1315,plain,
! [X0] :
( ~ sQ95_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f485,f55]) ).
fof(f1316,plain,
! [X0] :
( ~ sQ95_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f485,f53]) ).
fof(f1318,plain,
! [X0] :
( ~ sQ95_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f485,f54]) ).
fof(f1319,plain,
! [X0] :
( ~ sQ95_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f485,f52]) ).
fof(f1320,plain,
! [X0] :
( ~ sQ95_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f485,f49]) ).
fof(f1321,plain,
! [X0] :
( ~ sQ95_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f485,f51]) ).
fof(f1322,plain,
! [X0] :
( ~ sQ95_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f485,f48]) ).
fof(f1323,plain,
! [X0] :
( ~ sQ95_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f485,f47]) ).
fof(f1324,plain,
( ~ sQ95_spl
| sQ85_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1314,f477,f447,f484]) ).
fof(f1325,plain,
( ~ sQ95_spl
| sQ88_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1315,f477,f458,f484]) ).
fof(f1326,plain,
( ~ sQ95_spl
| sQ91_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1316,f477,f469,f484]) ).
fof(f1328,plain,
( ~ sQ95_spl
| sQ88_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f1318,f504,f458,f484]) ).
fof(f1329,plain,
( ~ sQ95_spl
| sQ91_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f1319,f504,f469,f484]) ).
fof(f1330,plain,
( ~ sQ95_spl
| sQ94_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f1320,f504,f480,f484]) ).
fof(f1331,plain,
( ~ sQ95_spl
| sQ91_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f1321,f523,f469,f484]) ).
fof(f1332,plain,
( ~ sQ95_spl
| sQ94_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f1322,f523,f480,f484]) ).
fof(f1333,plain,
( ~ sQ95_spl
| sQ94_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f1323,f534,f480,f484]) ).
fof(f1334,plain,
( ~ sQ12_spl
| ~ sQ94_spl
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f481,f137]) ).
fof(f1335,plain,
( ~ sQ94_spl
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f481,f60]) ).
fof(f1336,plain,
! [X0] :
( ~ sQ92_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f474,f56]) ).
fof(f1337,plain,
! [X0] :
( ~ sQ92_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f474,f55]) ).
fof(f1339,plain,
! [X0] :
( ~ sQ92_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f474,f50]) ).
fof(f1340,plain,
! [X0] :
( ~ sQ92_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f474,f54]) ).
fof(f1341,plain,
! [X0] :
( ~ sQ92_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f474,f52]) ).
fof(f1342,plain,
! [X0] :
( ~ sQ92_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f474,f49]) ).
fof(f1343,plain,
! [X0] :
( ~ sQ92_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f474,f51]) ).
fof(f1344,plain,
! [X0] :
( ~ sQ92_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f474,f48]) ).
fof(f1345,plain,
! [X0] :
( ~ sQ92_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_1,e_1) ),
inference(resolution,[status(thm)],[f474,f47]) ).
fof(f1346,plain,
( ~ sQ92_spl
| sQ85_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f1336,f466,f447,f473]) ).
fof(f1347,plain,
( ~ sQ92_spl
| sQ88_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f1337,f466,f458,f473]) ).
fof(f1349,plain,
( ~ sQ92_spl
| sQ94_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f1339,f466,f480,f473]) ).
fof(f1350,plain,
( ~ sQ92_spl
| sQ88_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1340,f145,f458,f473]) ).
fof(f1351,plain,
( ~ sQ92_spl
| sQ91_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1341,f145,f469,f473]) ).
fof(f1352,plain,
( ~ sQ92_spl
| sQ94_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1342,f145,f480,f473]) ).
fof(f1353,plain,
( ~ sQ92_spl
| sQ91_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1343,f142,f469,f473]) ).
fof(f1354,plain,
( ~ sQ92_spl
| sQ94_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1344,f142,f480,f473]) ).
fof(f1355,plain,
( ~ sQ92_spl
| sQ94_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1345,f139,f480,f473]) ).
fof(f1356,plain,
! [X0] :
( ~ sQ89_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_3)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f463,f56]) ).
fof(f1358,plain,
! [X0] :
( ~ sQ89_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f463,f53]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ89_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f463,f50]) ).
fof(f1360,plain,
! [X0] :
( ~ sQ89_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f463,f54]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ89_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f463,f52]) ).
fof(f1362,plain,
! [X0] :
( ~ sQ89_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f463,f49]) ).
fof(f1363,plain,
! [X0] :
( ~ sQ89_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[f463,f51]) ).
fof(f1364,plain,
! [X0] :
( ~ sQ89_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[f463,f48]) ).
fof(f1365,plain,
! [X0] :
( ~ sQ89_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_2,e_1) ),
inference(resolution,[status(thm)],[f463,f47]) ).
fof(f1366,plain,
( ~ sQ89_spl
| sQ85_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f1356,f455,f447,f462]) ).
fof(f1368,plain,
( ~ sQ89_spl
| sQ91_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f1358,f455,f469,f462]) ).
fof(f1369,plain,
( ~ sQ89_spl
| sQ94_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f1359,f455,f480,f462]) ).
fof(f1370,plain,
( ~ sQ89_spl
| sQ88_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1360,f132,f458,f462]) ).
fof(f1371,plain,
( ~ sQ89_spl
| sQ91_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1361,f132,f469,f462]) ).
fof(f1372,plain,
( ~ sQ89_spl
| sQ94_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1362,f132,f480,f462]) ).
fof(f1373,plain,
( ~ sQ89_spl
| sQ91_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1363,f129,f469,f462]) ).
fof(f1374,plain,
( ~ sQ89_spl
| sQ94_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1364,f129,f480,f462]) ).
fof(f1375,plain,
( ~ sQ89_spl
| sQ94_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1365,f126,f480,f462]) ).
fof(f1376,plain,
( ~ sQ6_spl
| ~ sQ88_spl
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f459,f117]) ).
fof(f1377,plain,
( ~ sQ10_spl
| ~ sQ88_spl
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f459,f130]) ).
fof(f1379,plain,
! [X0] :
( ~ sQ86_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f452,f55]) ).
fof(f1380,plain,
! [X0] :
( ~ sQ86_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f452,f53]) ).
fof(f1381,plain,
! [X0] :
( ~ sQ86_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f452,f50]) ).
fof(f1382,plain,
! [X0] :
( ~ sQ86_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_2)
| ~ cycle(e_3,e_3) ),
inference(resolution,[status(thm)],[f452,f54]) ).
fof(f1383,plain,
! [X0] :
( ~ sQ86_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_3,e_3) ),
inference(resolution,[status(thm)],[f452,f52]) ).
fof(f1384,plain,
! [X0] :
( ~ sQ86_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_3,e_3) ),
inference(resolution,[status(thm)],[f452,f49]) ).
fof(f1385,plain,
! [X0] :
( ~ sQ86_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_1)
| ~ cycle(e_3,e_2) ),
inference(resolution,[status(thm)],[f452,f51]) ).
fof(f1386,plain,
! [X0] :
( ~ sQ86_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_3,e_2) ),
inference(resolution,[status(thm)],[f452,f48]) ).
fof(f1387,plain,
! [X0] :
( ~ sQ86_spl
| ~ next(e_4,X0)
| ~ cycle(X0,e_0)
| ~ cycle(e_3,e_1) ),
inference(resolution,[status(thm)],[f452,f47]) ).
fof(f1389,plain,
( ~ sQ86_spl
| sQ88_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f1379,f444,f458,f451]) ).
fof(f1390,plain,
( ~ sQ86_spl
| sQ91_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f1380,f444,f469,f451]) ).
fof(f1391,plain,
( ~ sQ86_spl
| sQ94_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f1381,f444,f480,f451]) ).
fof(f1392,plain,
( ~ sQ86_spl
| sQ88_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1382,f119,f458,f451]) ).
fof(f1393,plain,
( ~ sQ86_spl
| sQ91_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1383,f119,f469,f451]) ).
fof(f1394,plain,
( ~ sQ86_spl
| sQ94_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1384,f119,f480,f451]) ).
fof(f1395,plain,
( ~ sQ86_spl
| sQ91_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1385,f116,f469,f451]) ).
fof(f1396,plain,
( ~ sQ86_spl
| sQ94_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1386,f116,f480,f451]) ).
fof(f1397,plain,
( ~ sQ86_spl
| sQ94_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1387,f113,f480,f451]) ).
fof(f1418,plain,
( ~ sQ28_spl
| ~ sQ20_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f171,f605]) ).
fof(f1419,plain,
( ~ sQ28_spl
| ~ sQ20_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f171,f607]) ).
fof(f1420,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f171,f90]) ).
fof(f1421,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f171,f88]) ).
fof(f1422,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f171,f86]) ).
fof(f1423,plain,
! [X0] :
( ~ sQ20_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f171,f92]) ).
fof(f1424,plain,
( ~ sQ28_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1418,f78]) ).
fof(f1425,plain,
( ~ sQ28_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1424]) ).
fof(f1426,plain,
( ~ sQ23_spl
| ~ sQ19_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f167,f1264]) ).
fof(f1427,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f90]) ).
fof(f1428,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f167,f88]) ).
fof(f1429,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f167,f86]) ).
fof(f1431,plain,
( ~ sQ23_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1426,f83]) ).
fof(f1432,plain,
( ~ sQ23_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1431]) ).
fof(f1433,plain,
( ~ sQ23_spl
| ~ sQ18_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f1266]) ).
fof(f1434,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f164,f90]) ).
fof(f1435,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f164,f88]) ).
fof(f1436,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f164,f86]) ).
fof(f1437,plain,
! [X0] :
( ~ sQ18_spl
| product(e_3,X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f164,f92]) ).
fof(f1438,plain,
( ~ sQ23_spl
| ~ sQ18_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f1433,f166,f163,f179]) ).
fof(f1439,plain,
( ~ sQ25_spl
| ~ sQ17_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f161,f1240]) ).
fof(f1440,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f161,f90]) ).
fof(f1441,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f161,f88]) ).
fof(f1442,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f161,f86]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ17_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f161,f92]) ).
fof(f1444,plain,
( ~ sQ25_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1439,f82]) ).
fof(f1445,plain,
( ~ sQ25_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1444]) ).
fof(f1446,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f158,f90]) ).
fof(f1447,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f158,f88]) ).
fof(f1448,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f158,f86]) ).
fof(f1449,plain,
! [X0] :
( ~ sQ16_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f158,f92]) ).
fof(f1450,plain,
! [X0,X1] :
( ~ sQ47_spl
| equalish(e_4,X1)
| ~ next(e_3,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f262,f67]) ).
fof(f1451,plain,
( ~ sQ47_spl
| ~ greater(e_4,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f262,f65]) ).
fof(f1452,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f262,f90]) ).
fof(f1453,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f262,f88]) ).
fof(f1454,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f262,f86]) ).
fof(f1455,plain,
! [X0] :
( ~ sQ47_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f262,f92]) ).
fof(f1456,definition,
! [X1] :
( sQ151_spl
<=> ( equalish(e_4,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ151_spl
| equalish(e_4,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f1456]) ).
fof(f1459,plain,
( ~ sQ47_spl
| sQ151_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f1450,f744,f1456,f261]) ).
fof(f1460,definition,
( sQ152_spl
<=> greater(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1462,plain,
( sQ152_spl
| ~ greater(e_4,e_3) ),
inference(component_clause,[status(thm)],[f1460]) ).
fof(f1463,plain,
( ~ sQ47_spl
| ~ sQ152_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1451,f110,f1460,f261]) ).
fof(f1464,plain,
( sQ152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1462,f56]) ).
fof(f1465,plain,
sQ152_spl,
inference(contradiction_clause,[status(thm)],[f1464]) ).
fof(f1466,plain,
! [X0,X1] :
( ~ sQ46_spl
| equalish(e_3,X1)
| ~ next(e_3,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f259,f67]) ).
fof(f1467,plain,
( ~ sQ46_spl
| ~ greater(e_3,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f259,f65]) ).
fof(f1468,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f259,f90]) ).
fof(f1469,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f259,f88]) ).
fof(f1470,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f259,f86]) ).
fof(f1471,plain,
! [X0] :
( ~ sQ46_spl
| product(e_3,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f259,f92]) ).
fof(f1472,definition,
! [X1] :
( sQ153_spl
<=> ( equalish(e_3,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1473,plain,
! [X0] :
( ~ sQ153_spl
| equalish(e_3,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f1472]) ).
fof(f1475,plain,
( ~ sQ46_spl
| sQ153_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f1466,f744,f1472,f258]) ).
fof(f1476,definition,
( sQ154_spl
<=> greater(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1478,plain,
( sQ154_spl
| ~ greater(e_3,e_3) ),
inference(component_clause,[status(thm)],[f1476]) ).
fof(f1479,plain,
( ~ sQ46_spl
| ~ sQ154_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1467,f110,f1476,f258]) ).
fof(f1488,plain,
( ~ sQ16_spl
| ~ sQ29_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f593,f158]) ).
fof(f1489,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1488,f90]) ).
fof(f1490,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ29_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1488,f88]) ).
fof(f1491,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ29_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1488,f86]) ).
fof(f1492,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ29_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1488,f92]) ).
fof(f1493,plain,
( ~ sQ16_spl
| ~ sQ29_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1489,f1488]) ).
fof(f1494,plain,
( ~ sQ16_spl
| ~ sQ29_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1490,f1488]) ).
fof(f1496,plain,
( ~ sQ16_spl
| ~ sQ29_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f1492,f1488]) ).
fof(f1497,plain,
( ~ sQ16_spl
| ~ sQ29_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1496,f160,f199,f157]) ).
fof(f1513,plain,
! [X0,X1] :
( ~ sQ45_spl
| equalish(e_2,X1)
| ~ next(e_3,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f256,f67]) ).
fof(f1514,plain,
( ~ sQ45_spl
| ~ greater(e_2,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f256,f65]) ).
fof(f1515,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f256,f90]) ).
fof(f1516,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f256,f88]) ).
fof(f1517,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f256,f86]) ).
fof(f1518,plain,
! [X0] :
( ~ sQ45_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f256,f92]) ).
fof(f1519,definition,
! [X1] :
( sQ155_spl
<=> ( equalish(e_2,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1520,plain,
! [X0] :
( ~ sQ155_spl
| equalish(e_2,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f1519]) ).
fof(f1522,plain,
( ~ sQ45_spl
| sQ155_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f1513,f744,f1519,f255]) ).
fof(f1523,definition,
( sQ156_spl
<=> greater(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1525,plain,
( sQ156_spl
| ~ greater(e_2,e_3) ),
inference(component_clause,[status(thm)],[f1523]) ).
fof(f1526,plain,
( ~ sQ45_spl
| ~ sQ156_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1514,f110,f1523,f255]) ).
fof(f1527,plain,
( ~ sQ28_spl
| ~ sQ44_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f253,f604]) ).
fof(f1528,plain,
! [X0,X1] :
( ~ sQ44_spl
| equalish(e_1,X1)
| ~ next(e_3,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f253,f67]) ).
fof(f1529,plain,
( ~ sQ44_spl
| ~ greater(e_1,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f253,f65]) ).
fof(f1530,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f253,f90]) ).
fof(f1531,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f253,f88]) ).
fof(f1532,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f253,f86]) ).
fof(f1533,plain,
! [X0] :
( ~ sQ44_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f253,f92]) ).
fof(f1534,plain,
( ~ sQ28_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1527,f80]) ).
fof(f1535,plain,
( ~ sQ28_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1534]) ).
fof(f1536,plain,
! [X0] :
( ~ sQ46_spl
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f150,f1471]) ).
fof(f1537,plain,
( ~ sQ46_spl
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1536,f71]) ).
fof(f1538,plain,
( ~ sQ46_spl
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1536,f70]) ).
fof(f1539,plain,
( ~ sQ46_spl
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f1536,f69]) ).
fof(f1541,plain,
( ~ sQ46_spl
| sQ35_spl
| sQ34_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f1537,f216,f219,f222,f258]) ).
fof(f1542,plain,
( ~ sQ46_spl
| sQ39_spl
| sQ38_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f1538,f229,f232,f235,f258]) ).
fof(f1543,plain,
( ~ sQ46_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f1539,f242,f245,f248,f258]) ).
fof(f1553,plain,
( ~ sQ22_spl
| ~ sQ43_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f249,f1275]) ).
fof(f1554,plain,
( ~ sQ27_spl
| ~ sQ43_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f249,f1116]) ).
fof(f1555,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f249,f90]) ).
fof(f1556,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f249,f88]) ).
fof(f1557,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f249,f86]) ).
fof(f1558,plain,
! [X0] :
( ~ sQ43_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f249,f92]) ).
fof(f1559,plain,
( ~ sQ22_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1553,f76]) ).
fof(f1560,plain,
( ~ sQ22_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1559]) ).
fof(f1569,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f246,f90]) ).
fof(f1570,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f246,f88]) ).
fof(f1571,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f246,f86]) ).
fof(f1572,plain,
! [X0] :
( ~ sQ42_spl
| product(e_3,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f246,f92]) ).
fof(f1573,plain,
! [X0] :
( ~ sQ42_spl
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f150,f1572]) ).
fof(f1574,plain,
( ~ sQ42_spl
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f1573,f71]) ).
fof(f1575,plain,
( ~ sQ42_spl
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f1573,f70]) ).
fof(f1577,plain,
( ~ sQ42_spl
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f1573,f68]) ).
fof(f1578,plain,
( ~ sQ42_spl
| sQ35_spl
| sQ34_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f1574,f213,f219,f222,f245]) ).
fof(f1579,plain,
( ~ sQ42_spl
| sQ39_spl
| sQ38_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1575,f226,f232,f235,f245]) ).
fof(f1581,plain,
( ~ sQ42_spl
| sQ47_spl
| sQ46_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f1577,f252,f258,f261,f245]) ).
fof(f1590,plain,
( ~ sQ45_spl
| ~ sQ41_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f243,f1516]) ).
fof(f1591,plain,
( ~ sQ25_spl
| ~ sQ41_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f243,f1239]) ).
fof(f1592,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f243,f90]) ).
fof(f1593,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f243,f88]) ).
fof(f1594,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f243,f86]) ).
fof(f1595,plain,
! [X0] :
( ~ sQ41_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f243,f92]) ).
fof(f1596,plain,
( ~ sQ45_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1590,f75]) ).
fof(f1597,plain,
( ~ sQ45_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1596]) ).
fof(f1598,plain,
( ~ sQ25_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1591,f80]) ).
fof(f1599,plain,
( ~ sQ25_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1598]) ).
fof(f1600,plain,
( ~ sQ28_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1246,f75]) ).
fof(f1601,plain,
( ~ sQ28_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1600]) ).
fof(f1626,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ46_spl
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1573,f1471]) ).
fof(f1628,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1273,f90]) ).
fof(f1629,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1273,f88]) ).
fof(f1630,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1273,f86]) ).
fof(f1632,plain,
( ~ sQ46_spl
| ~ sQ40_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f240,f1471]) ).
fof(f1633,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f240,f90]) ).
fof(f1634,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f240,f88]) ).
fof(f1635,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f240,f86]) ).
fof(f1636,plain,
! [X0] :
( ~ sQ40_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f240,f92]) ).
fof(f1637,plain,
( ~ sQ42_spl
| ~ sQ38_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f233,f1570]) ).
fof(f1638,plain,
( ~ sQ46_spl
| ~ sQ38_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f233,f1469]) ).
fof(f1639,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f90]) ).
fof(f1640,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f233,f88]) ).
fof(f1641,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f233,f86]) ).
fof(f1643,plain,
( ~ sQ42_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1637,f79]) ).
fof(f1644,plain,
( ~ sQ42_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1643]) ).
fof(f1645,plain,
( ~ sQ42_spl
| ~ sQ37_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f230,f1572]) ).
fof(f1646,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f230,f90]) ).
fof(f1647,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f230,f88]) ).
fof(f1648,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f230,f86]) ).
fof(f1649,plain,
! [X0] :
( ~ sQ37_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f230,f92]) ).
fof(f1650,plain,
( ~ sQ42_spl
| ~ sQ37_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f1645,f232,f229,f245]) ).
fof(f1651,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f227,f90]) ).
fof(f1652,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f227,f88]) ).
fof(f1653,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f227,f86]) ).
fof(f1654,plain,
! [X0] :
( ~ sQ36_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f227,f92]) ).
fof(f1655,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f223,f90]) ).
fof(f1656,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f223,f88]) ).
fof(f1657,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f223,f86]) ).
fof(f1658,plain,
! [X0] :
( ~ sQ35_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f223,f92]) ).
fof(f1659,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f220,f90]) ).
fof(f1660,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f220,f88]) ).
fof(f1661,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f220,f86]) ).
fof(f1662,plain,
! [X0] :
( ~ sQ34_spl
| product(e_3,X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f220,f92]) ).
fof(f1672,plain,
( ~ sQ35_spl
| ~ sQ22_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1275,f223]) ).
fof(f1674,plain,
( ~ sQ35_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1672,f83]) ).
fof(f1675,plain,
( ~ sQ35_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1674]) ).
fof(f1676,plain,
( ~ sQ36_spl
| ~ sQ22_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1276,f227]) ).
fof(f1678,plain,
( ~ sQ36_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1676,f74]) ).
fof(f1679,plain,
( ~ sQ36_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1678]) ).
fof(f1688,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f1626,f71]) ).
fof(f1689,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f1626,f70]) ).
fof(f1692,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| sQ35_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1688,f219,f222,f258,f245]) ).
fof(f1693,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| sQ39_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f1689,f232,f235,f258,f245]) ).
fof(f1696,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ46_spl
| ~ sQ34_spl
| product(e_3,X0,e_3)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1626,f1662]) ).
fof(f1698,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| ~ sQ34_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f1696,f70]) ).
fof(f1699,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| ~ sQ34_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f1696,f69]) ).
fof(f1700,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| ~ sQ34_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f1696,f68]) ).
fof(f1701,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| ~ sQ34_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f1698,f232,f219,f258,f245]) ).
fof(f1702,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ34_spl
| product(e_3,X0,e_3)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1573,f1662]) ).
fof(f1703,plain,
! [X0] :
( ~ sQ34_spl
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f150,f1662]) ).
fof(f1705,plain,
( ~ sQ42_spl
| ~ sQ34_spl
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f1702,f70]) ).
fof(f1707,plain,
( ~ sQ42_spl
| ~ sQ34_spl
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f1702,f68]) ).
fof(f1709,plain,
( ~ sQ42_spl
| ~ sQ34_spl
| sQ38_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1705,f226,f232,f219,f245]) ).
fof(f1711,plain,
( ~ sQ42_spl
| ~ sQ34_spl
| sQ46_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f1707,f252,f258,f219,f245]) ).
fof(f1727,plain,
( ~ sQ40_spl
| ~ sQ47_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f1455,f240]) ).
fof(f1728,plain,
( ~ sQ40_spl
| ~ sQ47_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1727,f189,f261,f239]) ).
fof(f1729,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1453,f1273]) ).
fof(f1730,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1729,f78]) ).
fof(f1731,plain,
( ~ sQ22_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1730]) ).
fof(f1740,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f217,f1657]) ).
fof(f1741,plain,
( ~ sQ42_spl
| ~ sQ33_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f217,f1572]) ).
fof(f1742,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f217,f90]) ).
fof(f1743,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f217,f88]) ).
fof(f1744,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f217,f86]) ).
fof(f1745,plain,
! [X0] :
( ~ sQ33_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f217,f92]) ).
fof(f1746,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1740,f77]) ).
fof(f1747,plain,
( ~ sQ35_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1746]) ).
fof(f1748,plain,
! [X0] :
( ~ sQ46_spl
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f150,f1471]) ).
fof(f1749,plain,
( ~ sQ46_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1638,f78]) ).
fof(f1750,plain,
( ~ sQ46_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1749]) ).
fof(f1759,plain,
( ~ sQ45_spl
| ~ sQ32_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f214,f1518]) ).
fof(f1760,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f214,f90]) ).
fof(f1761,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f214,f88]) ).
fof(f1762,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f214,f86]) ).
fof(f1763,plain,
! [X0] :
( ~ sQ32_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f214,f92]) ).
fof(f1764,plain,
( ~ sQ18_spl
| ~ sQ45_spl
| ~ sQ32_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1759,f1434]) ).
fof(f1765,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ32_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1759,f90]) ).
fof(f1766,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1759,f88]) ).
fof(f1767,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1759,f86]) ).
fof(f1768,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ32_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1759,f92]) ).
fof(f1769,plain,
( ~ sQ18_spl
| ~ sQ45_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1764,f77]) ).
fof(f1770,plain,
( ~ sQ18_spl
| ~ sQ45_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1769]) ).
fof(f1771,plain,
! [X0,X1] :
( ~ sQ63_spl
| equalish(e_4,X1)
| ~ next(e_2,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f318,f67]) ).
fof(f1772,plain,
( ~ sQ63_spl
| ~ greater(e_4,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f318,f65]) ).
fof(f1773,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f318,f90]) ).
fof(f1774,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f318,f88]) ).
fof(f1775,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f318,f86]) ).
fof(f1776,plain,
! [X0] :
( ~ sQ63_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f318,f92]) ).
fof(f1777,definition,
! [X1] :
( sQ157_spl
<=> ( equalish(e_4,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1778,plain,
! [X0] :
( ~ sQ157_spl
| equalish(e_4,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f1777]) ).
fof(f1780,plain,
( ~ sQ63_spl
| sQ157_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f1771,f748,f1777,f317]) ).
fof(f1781,definition,
( sQ158_spl
<=> greater(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1783,plain,
( sQ158_spl
| ~ greater(e_4,e_2) ),
inference(component_clause,[status(thm)],[f1781]) ).
fof(f1784,plain,
( ~ sQ63_spl
| ~ sQ158_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1772,f123,f1781,f317]) ).
fof(f1785,plain,
( sQ158_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1783,f55]) ).
fof(f1786,plain,
sQ158_spl,
inference(contradiction_clause,[status(thm)],[f1785]) ).
fof(f1787,plain,
! [X0,X1] :
( ~ sQ62_spl
| equalish(e_3,X1)
| ~ next(e_2,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f315,f67]) ).
fof(f1788,plain,
( ~ sQ62_spl
| ~ greater(e_3,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f315,f65]) ).
fof(f1789,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f315,f90]) ).
fof(f1790,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f315,f88]) ).
fof(f1791,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f315,f86]) ).
fof(f1792,plain,
! [X0] :
( ~ sQ62_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f315,f92]) ).
fof(f1793,definition,
! [X1] :
( sQ159_spl
<=> ( equalish(e_3,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1794,plain,
! [X0] :
( ~ sQ159_spl
| equalish(e_3,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f1793]) ).
fof(f1796,plain,
( ~ sQ62_spl
| sQ159_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f1787,f748,f1793,f314]) ).
fof(f1797,definition,
( sQ160_spl
<=> greater(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1799,plain,
( sQ160_spl
| ~ greater(e_3,e_2) ),
inference(component_clause,[status(thm)],[f1797]) ).
fof(f1800,plain,
( ~ sQ62_spl
| ~ sQ160_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1788,f123,f1797,f314]) ).
fof(f1801,plain,
( sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1799,f54]) ).
fof(f1802,plain,
sQ160_spl,
inference(contradiction_clause,[status(thm)],[f1801]) ).
fof(f1803,plain,
( ~ sQ45_spl
| ~ sQ61_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f312,f1515]) ).
fof(f1804,plain,
! [X0,X1] :
( ~ sQ61_spl
| equalish(e_2,X1)
| ~ next(e_2,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f312,f67]) ).
fof(f1805,plain,
( ~ sQ61_spl
| ~ greater(e_2,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f312,f65]) ).
fof(f1806,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f312,f90]) ).
fof(f1807,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f312,f88]) ).
fof(f1808,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f312,f86]) ).
fof(f1809,plain,
! [X0] :
( ~ sQ61_spl
| product(e_2,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f312,f92]) ).
fof(f1810,plain,
( ~ sQ45_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1803,f76]) ).
fof(f1811,plain,
( ~ sQ45_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1810]) ).
fof(f1812,plain,
( ~ sQ28_spl
| ~ sQ60_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f309,f604]) ).
fof(f1813,plain,
! [X0,X1] :
( ~ sQ60_spl
| equalish(e_1,X1)
| ~ next(e_2,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f309,f67]) ).
fof(f1814,plain,
( ~ sQ60_spl
| ~ greater(e_1,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f309,f65]) ).
fof(f1815,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f309,f90]) ).
fof(f1816,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f309,f88]) ).
fof(f1817,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f309,f86]) ).
fof(f1818,plain,
! [X0] :
( ~ sQ60_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f309,f92]) ).
fof(f1819,plain,
( ~ sQ28_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1812,f77]) ).
fof(f1820,plain,
( ~ sQ28_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1819]) ).
fof(f1821,plain,
( ~ sQ43_spl
| ~ sQ59_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f305,f1555]) ).
fof(f1822,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f305,f90]) ).
fof(f1823,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f305,f88]) ).
fof(f1824,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f305,f86]) ).
fof(f1825,plain,
! [X0] :
( ~ sQ59_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f305,f92]) ).
fof(f1826,plain,
( ~ sQ43_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1821,f76]) ).
fof(f1827,plain,
( ~ sQ43_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1826]) ).
fof(f1828,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f302,f90]) ).
fof(f1829,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f302,f88]) ).
fof(f1830,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f302,f86]) ).
fof(f1831,plain,
! [X0] :
( ~ sQ58_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f302,f92]) ).
fof(f1848,plain,
( ~ sQ33_spl
| ~ sQ22_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f1273,f1745]) ).
fof(f1853,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ22_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1848,f90]) ).
fof(f1854,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1848,f88]) ).
fof(f1855,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1848,f86]) ).
fof(f1856,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ22_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1848,f92]) ).
fof(f1858,plain,
( ~ sQ22_spl
| ~ sQ32_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f1763,f1273]) ).
fof(f1859,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1858,f90]) ).
fof(f1860,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1858,f88]) ).
fof(f1861,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1858,f86]) ).
fof(f1862,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ32_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1858,f92]) ).
fof(f1866,plain,
( ~ sQ33_spl
| ~ sQ22_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1853,f1848]) ).
fof(f1869,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ46_spl
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1703,f1471]) ).
fof(f1871,plain,
( ~ sQ34_spl
| ~ sQ46_spl
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1869,f70]) ).
fof(f1872,plain,
( ~ sQ34_spl
| ~ sQ46_spl
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f1869,f69]) ).
fof(f1875,plain,
( ~ sQ34_spl
| ~ sQ46_spl
| sQ38_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f1871,f229,f232,f258,f219]) ).
fof(f1876,plain,
( ~ sQ34_spl
| ~ sQ46_spl
| sQ42_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f1872,f242,f245,f258,f219]) ).
fof(f1892,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ22_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1848,f92]) ).
fof(f1899,plain,
( ~ sQ33_spl
| ~ sQ22_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1856,f1848]) ).
fof(f1900,plain,
( ~ sQ22_spl
| ~ sQ33_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1899,f1630]) ).
fof(f1901,plain,
( ~ sQ41_spl
| ~ sQ33_spl
| ~ sQ22_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f1899,f1595]) ).
fof(f1902,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1899,f90]) ).
fof(f1903,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1899,f88]) ).
fof(f1904,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ22_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1899,f86]) ).
fof(f1905,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ22_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1899,f92]) ).
fof(f1906,plain,
( ~ sQ22_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1900,f77]) ).
fof(f1907,plain,
( ~ sQ22_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1906]) ).
fof(f1916,plain,
( ~ sQ25_spl
| ~ sQ57_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f299,f1239]) ).
fof(f1917,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f90]) ).
fof(f1918,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f299,f88]) ).
fof(f1919,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f299,f86]) ).
fof(f1921,plain,
( ~ sQ25_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1916,f77]) ).
fof(f1922,plain,
( ~ sQ25_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1921]) ).
fof(f1923,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1273,f90]) ).
fof(f1924,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1273,f88]) ).
fof(f1925,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1273,f86]) ).
fof(f1926,plain,
! [X0] :
( ~ sQ22_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1273,f92]) ).
fof(f1927,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f296,f90]) ).
fof(f1928,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f296,f88]) ).
fof(f1929,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f296,f86]) ).
fof(f1930,plain,
! [X0] :
( ~ sQ56_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f296,f92]) ).
fof(f1931,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f292,f90]) ).
fof(f1932,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f292,f88]) ).
fof(f1933,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f292,f86]) ).
fof(f1934,plain,
! [X0] :
( ~ sQ55_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f292,f92]) ).
fof(f1935,plain,
( ~ sQ38_spl
| ~ sQ54_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f289,f1639]) ).
fof(f1936,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f289,f90]) ).
fof(f1937,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f289,f88]) ).
fof(f1938,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f289,f86]) ).
fof(f1939,plain,
! [X0] :
( ~ sQ54_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f289,f92]) ).
fof(f1940,plain,
( ~ sQ38_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1935,f76]) ).
fof(f1941,plain,
( ~ sQ38_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1940]) ).
fof(f1942,plain,
( ~ sQ46_spl
| ~ sQ40_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1632,f245,f239,f258]) ).
fof(f1943,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f286,f90]) ).
fof(f1944,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f286,f88]) ).
fof(f1945,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f286,f86]) ).
fof(f1946,plain,
! [X0] :
( ~ sQ53_spl
| product(e_2,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f286,f92]) ).
fof(f1947,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f283,f90]) ).
fof(f1948,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f283,f88]) ).
fof(f1949,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f283,f86]) ).
fof(f1950,plain,
! [X0] :
( ~ sQ52_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f283,f92]) ).
fof(f1951,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f279,f90]) ).
fof(f1952,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f279,f88]) ).
fof(f1953,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f279,f86]) ).
fof(f1954,plain,
! [X0] :
( ~ sQ51_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f279,f92]) ).
fof(f1955,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f276,f90]) ).
fof(f1956,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f276,f88]) ).
fof(f1957,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f276,f86]) ).
fof(f1958,plain,
! [X0] :
( ~ sQ50_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f276,f92]) ).
fof(f1967,plain,
( ~ sQ53_spl
| ~ sQ56_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1930,f286]) ).
fof(f1968,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1967,f90]) ).
fof(f1969,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ56_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1967,f88]) ).
fof(f1970,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1967,f86]) ).
fof(f1971,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ56_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1967,f92]) ).
fof(f1972,plain,
( ~ sQ53_spl
| ~ sQ56_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1968,f1967]) ).
fof(f1973,plain,
( ~ sQ53_spl
| ~ sQ56_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1968,f286]) ).
fof(f1974,plain,
( ~ sQ53_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1973,f75]) ).
fof(f1975,plain,
( ~ sQ53_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1974]) ).
fof(f1976,plain,
( ~ sQ50_spl
| ~ sQ55_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f1934,f276]) ).
fof(f1977,plain,
( ~ sQ50_spl
| ~ sQ55_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1976,f160,f291,f275]) ).
fof(f1978,plain,
( ~ sQ52_spl
| ~ sQ62_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1792,f283]) ).
fof(f1979,plain,
( ~ sQ40_spl
| ~ sQ52_spl
| ~ sQ62_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f1978,f1636]) ).
fof(f1980,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1978,f90]) ).
fof(f1981,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1978,f88]) ).
fof(f1982,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ62_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1978,f86]) ).
fof(f1983,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ62_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1978,f92]) ).
fof(f1984,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ52_spl
| ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1979,f90]) ).
fof(f1985,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ52_spl
| ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1979,f88]) ).
fof(f1986,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ52_spl
| ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1979,f86]) ).
fof(f1987,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ52_spl
| ~ sQ62_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1979,f92]) ).
fof(f1988,plain,
( ~ sQ52_spl
| ~ sQ62_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1980,f1978]) ).
fof(f1990,plain,
( ~ sQ52_spl
| ~ sQ62_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1982,f1978]) ).
fof(f1991,plain,
( ~ sQ40_spl
| ~ sQ52_spl
| ~ sQ62_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1984,f1979]) ).
fof(f1994,plain,
( ~ sQ51_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f1954,f279]) ).
fof(f1995,plain,
( ~ sQ51_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1994,f160,f278]) ).
fof(f2005,plain,
( ~ sQ34_spl
| 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)],[f1703,f70]) ).
fof(f2006,plain,
( ~ sQ34_spl
| 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)],[f1703,f69]) ).
fof(f2007,plain,
( ~ sQ34_spl
| 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)],[f1703,f68]) ).
fof(f2009,plain,
( ~ sQ34_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f2005,f226,f229,f232,f219]) ).
fof(f2010,plain,
( ~ sQ34_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f2006,f239,f242,f245,f219]) ).
fof(f2011,plain,
( ~ sQ34_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f2007,f252,f255,f258,f219]) ).
fof(f2012,plain,
( ~ sQ52_spl
| ~ sQ62_spl
| ~ sQ22_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1273,f1982]) ).
fof(f2013,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1273,f90]) ).
fof(f2014,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1273,f88]) ).
fof(f2015,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1273,f86]) ).
fof(f2016,plain,
! [X0] :
( ~ sQ22_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1273,f92]) ).
fof(f2017,plain,
( ~ sQ52_spl
| ~ sQ62_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2012,f82]) ).
fof(f2018,plain,
( ~ sQ52_spl
| ~ sQ62_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2017]) ).
fof(f2019,plain,
( ~ sQ22_spl
| ~ sQ34_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f1662,f1273]) ).
fof(f2020,plain,
( ~ sQ52_spl
| ~ sQ63_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1776,f283]) ).
fof(f2021,plain,
( ~ sQ52_spl
| ~ sQ63_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f2020,f173,f317,f282]) ).
fof(f2023,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f2019,f90]) ).
fof(f2024,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f2019,f88]) ).
fof(f2025,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f2019,f86]) ).
fof(f2030,plain,
( ~ sQ22_spl
| ~ sQ34_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1630,f2019]) ).
fof(f2032,plain,
( ~ sQ22_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2030,f80]) ).
fof(f2033,plain,
( ~ sQ22_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f2032]) ).
fof(f2050,plain,
( ~ sQ56_spl
| ~ sQ49_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f273,f1930]) ).
fof(f2051,plain,
( ~ sQ33_spl
| ~ sQ49_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f273,f1742]) ).
fof(f2052,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f273,f90]) ).
fof(f2053,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f273,f88]) ).
fof(f2054,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f273,f86]) ).
fof(f2055,plain,
! [X0] :
( ~ sQ49_spl
| product(e_2,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f273,f92]) ).
fof(f2056,plain,
( ~ sQ33_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2051,f76]) ).
fof(f2057,plain,
( ~ sQ33_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f2056]) ).
fof(f2058,plain,
( ~ sQ52_spl
| ~ sQ48_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f270,f1948]) ).
fof(f2059,plain,
( ~ sQ63_spl
| ~ sQ48_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f270,f1776]) ).
fof(f2060,plain,
( ~ sQ16_spl
| ~ sQ48_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f270,f1446]) ).
fof(f2061,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f270,f90]) ).
fof(f2062,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f270,f88]) ).
fof(f2063,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f270,f86]) ).
fof(f2064,plain,
! [X0] :
( ~ sQ48_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f270,f92]) ).
fof(f2065,plain,
( ~ sQ52_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2058,f83]) ).
fof(f2066,plain,
( ~ sQ52_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f2065]) ).
fof(f2067,plain,
( ~ sQ16_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2060,f77]) ).
fof(f2068,plain,
( ~ sQ16_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f2067]) ).
fof(f2069,plain,
! [X0,X1] :
( ~ sQ79_spl
| equalish(e_4,X1)
| ~ next(e_1,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f374,f67]) ).
fof(f2070,plain,
( ~ sQ79_spl
| ~ greater(e_4,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f374,f65]) ).
fof(f2071,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f374,f90]) ).
fof(f2072,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f374,f88]) ).
fof(f2073,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f374,f86]) ).
fof(f2074,plain,
! [X0] :
( ~ sQ79_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f374,f92]) ).
fof(f2075,definition,
! [X1] :
( sQ161_spl
<=> ( equalish(e_4,X1)
| ~ next(e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f2076,plain,
! [X0] :
( ~ sQ161_spl
| equalish(e_4,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f2075]) ).
fof(f2078,plain,
( ~ sQ79_spl
| sQ161_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f2069,f752,f2075,f373]) ).
fof(f2079,definition,
( sQ162_spl
<=> greater(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f2081,plain,
( sQ162_spl
| ~ greater(e_4,e_1) ),
inference(component_clause,[status(thm)],[f2079]) ).
fof(f2082,plain,
( ~ sQ79_spl
| ~ sQ162_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2070,f136,f2079,f373]) ).
fof(f2083,plain,
( sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2081,f53]) ).
fof(f2084,plain,
sQ162_spl,
inference(contradiction_clause,[status(thm)],[f2083]) ).
fof(f2085,plain,
! [X0,X1] :
( ~ sQ78_spl
| equalish(e_3,X1)
| ~ next(e_1,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f371,f67]) ).
fof(f2086,plain,
( ~ sQ78_spl
| ~ greater(e_3,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f371,f65]) ).
fof(f2087,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f371,f90]) ).
fof(f2088,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f371,f88]) ).
fof(f2089,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f371,f86]) ).
fof(f2090,plain,
! [X0] :
( ~ sQ78_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f371,f92]) ).
fof(f2091,definition,
! [X1] :
( sQ163_spl
<=> ( equalish(e_3,X1)
| ~ next(e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f2092,plain,
! [X0] :
( ~ sQ163_spl
| equalish(e_3,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f2091]) ).
fof(f2094,plain,
( ~ sQ78_spl
| sQ163_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f2085,f752,f2091,f370]) ).
fof(f2095,definition,
( sQ164_spl
<=> greater(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f2097,plain,
( sQ164_spl
| ~ greater(e_3,e_1) ),
inference(component_clause,[status(thm)],[f2095]) ).
fof(f2098,plain,
( ~ sQ78_spl
| ~ sQ164_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2086,f136,f2095,f370]) ).
fof(f2099,plain,
( sQ164_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2097,f52]) ).
fof(f2100,plain,
sQ164_spl,
inference(contradiction_clause,[status(thm)],[f2099]) ).
fof(f2101,plain,
! [X0,X1] :
( ~ sQ77_spl
| equalish(e_2,X1)
| ~ next(e_1,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f368,f67]) ).
fof(f2102,plain,
( ~ sQ77_spl
| ~ greater(e_2,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f368,f65]) ).
fof(f2103,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f368,f90]) ).
fof(f2104,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f368,f88]) ).
fof(f2105,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f368,f86]) ).
fof(f2106,plain,
! [X0] :
( ~ sQ77_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f368,f92]) ).
fof(f2107,definition,
! [X1] :
( sQ165_spl
<=> ( equalish(e_2,X1)
| ~ next(e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f2108,plain,
! [X0] :
( ~ sQ165_spl
| equalish(e_2,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f2107]) ).
fof(f2110,plain,
( ~ sQ77_spl
| sQ165_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f2101,f752,f2107,f367]) ).
fof(f2111,definition,
( sQ166_spl
<=> greater(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f2113,plain,
( sQ166_spl
| ~ greater(e_2,e_1) ),
inference(component_clause,[status(thm)],[f2111]) ).
fof(f2114,plain,
( ~ sQ77_spl
| ~ sQ166_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2102,f136,f2111,f367]) ).
fof(f2115,plain,
( sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2113,f51]) ).
fof(f2116,plain,
sQ166_spl,
inference(contradiction_clause,[status(thm)],[f2115]) ).
fof(f2117,plain,
( ~ sQ28_spl
| ~ sQ76_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f365,f604]) ).
fof(f2118,plain,
! [X0,X1] :
( ~ sQ76_spl
| equalish(e_1,X1)
| ~ next(e_1,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f365,f67]) ).
fof(f2119,plain,
( ~ sQ76_spl
| ~ greater(e_1,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f365,f65]) ).
fof(f2120,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f90]) ).
fof(f2121,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f365,f88]) ).
fof(f2122,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f365,f86]) ).
fof(f2124,plain,
( ~ sQ28_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2117,f74]) ).
fof(f2125,plain,
( ~ sQ28_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f2124]) ).
fof(f2126,definition,
! [X1] :
( sQ167_spl
<=> ( equalish(e_1,X1)
| ~ next(e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f2127,plain,
! [X0] :
( ~ sQ167_spl
| equalish(e_1,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f2126]) ).
fof(f2129,plain,
( ~ sQ76_spl
| sQ167_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f2118,f752,f2126,f364]) ).
fof(f2130,definition,
( sQ168_spl
<=> greater(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f2132,plain,
( sQ168_spl
| ~ greater(e_1,e_1) ),
inference(component_clause,[status(thm)],[f2130]) ).
fof(f2133,plain,
( ~ sQ76_spl
| ~ sQ168_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2119,f136,f2130,f364]) ).
fof(f2134,definition,
! [X1] :
( sQ169_spl
<=> ( equalish(e_1,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f2135,plain,
! [X0] :
( ~ sQ169_spl
| equalish(e_1,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f2134]) ).
fof(f2137,plain,
( ~ sQ44_spl
| sQ169_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f1528,f744,f2134,f252]) ).
fof(f2138,definition,
( sQ170_spl
<=> greater(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f2140,plain,
( sQ170_spl
| ~ greater(e_1,e_3) ),
inference(component_clause,[status(thm)],[f2138]) ).
fof(f2141,plain,
( ~ sQ44_spl
| ~ sQ170_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1529,f110,f2138,f252]) ).
fof(f2142,definition,
! [X1] :
( sQ171_spl
<=> ( equalish(e_1,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f2143,plain,
! [X0] :
( ~ sQ171_spl
| equalish(e_1,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f2142]) ).
fof(f2145,plain,
( ~ sQ60_spl
| sQ171_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f1813,f748,f2142,f308]) ).
fof(f2146,definition,
( sQ172_spl
<=> greater(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f2148,plain,
( sQ172_spl
| ~ greater(e_1,e_2) ),
inference(component_clause,[status(thm)],[f2146]) ).
fof(f2149,plain,
( ~ sQ60_spl
| ~ sQ172_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1814,f123,f2146,f308]) ).
fof(f2158,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2120,f365]) ).
fof(f2161,plain,
( ~ sQ76_spl
| ~ sQ44_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1530,f365]) ).
fof(f2162,plain,
( ~ sQ76_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2161,f73]) ).
fof(f2163,plain,
( ~ sQ76_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f2162]) ).
fof(f2164,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f361,f90]) ).
fof(f2165,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f361,f88]) ).
fof(f2166,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f361,f86]) ).
fof(f2167,plain,
! [X0] :
( ~ sQ75_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f361,f92]) ).
fof(f2168,plain,
( ~ sQ75_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2164,f361]) ).
fof(f2169,plain,
( ~ sQ75_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2165,f361]) ).
fof(f2170,plain,
( ~ sQ75_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2166,f361]) ).
fof(f2171,plain,
( ~ sQ75_spl
| ~ sQ74_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f358,f2166]) ).
fof(f2172,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f358,f90]) ).
fof(f2173,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f358,f88]) ).
fof(f2174,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f358,f86]) ).
fof(f2175,plain,
! [X0] :
( ~ sQ74_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f358,f92]) ).
fof(f2176,plain,
( ~ sQ75_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2171,f80]) ).
fof(f2177,plain,
( ~ sQ75_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f2176]) ).
fof(f2178,plain,
( ~ sQ57_spl
| ~ sQ73_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f355,f1917]) ).
fof(f2179,plain,
( ~ sQ41_spl
| ~ sQ73_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f355,f1592]) ).
fof(f2180,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f355,f90]) ).
fof(f2181,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f355,f88]) ).
fof(f2182,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f355,f86]) ).
fof(f2183,plain,
! [X0] :
( ~ sQ73_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f355,f92]) ).
fof(f2184,plain,
( ~ sQ57_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2178,f72]) ).
fof(f2185,plain,
( ~ sQ57_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f2184]) ).
fof(f2186,plain,
( ~ sQ76_spl
| ~ sQ72_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f352,f2121]) ).
fof(f2187,plain,
( ~ sQ56_spl
| ~ sQ72_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f352,f1927]) ).
fof(f2188,plain,
( ~ sQ24_spl
| ~ sQ72_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f352,f1248]) ).
fof(f2189,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f352,f90]) ).
fof(f2190,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f352,f88]) ).
fof(f2191,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f352,f86]) ).
fof(f2192,plain,
! [X0] :
( ~ sQ72_spl
| product(e_1,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f352,f92]) ).
fof(f2193,plain,
( ~ sQ76_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2186,f75]) ).
fof(f2194,plain,
( ~ sQ76_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f2193]) ).
fof(f2195,plain,
( ~ sQ41_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2179,f73]) ).
fof(f2196,plain,
( ~ sQ41_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f2195]) ).
fof(f2197,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f348,f90]) ).
fof(f2198,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f348,f88]) ).
fof(f2199,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f348,f86]) ).
fof(f2200,plain,
! [X0] :
( ~ sQ71_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f348,f92]) ).
fof(f2201,plain,
( ~ sQ54_spl
| ~ sQ70_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f345,f1936]) ).
fof(f2202,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f345,f90]) ).
fof(f2203,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f345,f88]) ).
fof(f2204,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f345,f86]) ).
fof(f2205,plain,
! [X0] :
( ~ sQ70_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f345,f92]) ).
fof(f2206,plain,
( ~ sQ54_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2201,f72]) ).
fof(f2207,plain,
( ~ sQ54_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f2206]) ).
fof(f2208,plain,
( ~ sQ21_spl
| ~ sQ69_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f342,f1286]) ).
fof(f2209,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f342,f90]) ).
fof(f2210,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f342,f88]) ).
fof(f2211,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f342,f86]) ).
fof(f2212,plain,
! [X0] :
( ~ sQ69_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f342,f92]) ).
fof(f2213,plain,
( ~ sQ21_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2208,f74]) ).
fof(f2214,plain,
( ~ sQ21_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f2213]) ).
fof(f2215,plain,
( ~ sQ76_spl
| ~ sQ68_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f339,f2121]) ).
fof(f2216,plain,
( ~ sQ36_spl
| ~ sQ68_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f339,f1651]) ).
fof(f2217,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f339,f90]) ).
fof(f2218,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f339,f88]) ).
fof(f2219,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f339,f86]) ).
fof(f2220,plain,
! [X0] :
( ~ sQ68_spl
| product(e_1,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f339,f92]) ).
fof(f2221,plain,
( ~ sQ76_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2215,f78]) ).
fof(f2222,plain,
( ~ sQ76_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f2221]) ).
fof(f2223,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f335,f90]) ).
fof(f2224,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f335,f88]) ).
fof(f2225,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f335,f86]) ).
fof(f2226,plain,
! [X0] :
( ~ sQ67_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f335,f92]) ).
fof(f2227,plain,
( ~ sQ50_spl
| ~ sQ66_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f332,f1955]) ).
fof(f2228,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f332,f90]) ).
fof(f2229,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f332,f88]) ).
fof(f2230,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f332,f86]) ).
fof(f2231,plain,
! [X0] :
( ~ sQ66_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f332,f92]) ).
fof(f2232,plain,
( ~ sQ50_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2227,f72]) ).
fof(f2233,plain,
( ~ sQ50_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f2232]) ).
fof(f2234,plain,
( ~ sQ33_spl
| ~ sQ65_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f329,f1742]) ).
fof(f2235,plain,
( ~ sQ17_spl
| ~ sQ65_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f329,f1440]) ).
fof(f2236,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f329,f90]) ).
fof(f2237,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f329,f88]) ).
fof(f2238,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f329,f86]) ).
fof(f2239,plain,
! [X0] :
( ~ sQ65_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f329,f92]) ).
fof(f2240,plain,
( ~ sQ33_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2234,f73]) ).
fof(f2241,plain,
( ~ sQ33_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f2240]) ).
fof(f2242,plain,
( ~ sQ69_spl
| ~ sQ74_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f2175,f342]) ).
fof(f2243,plain,
( ~ sQ36_spl
| ~ sQ69_spl
| ~ sQ74_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2242,f1653]) ).
fof(f2244,plain,
( ~ sQ36_spl
| ~ sQ69_spl
| ~ sQ74_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2242,f1652]) ).
fof(f2245,plain,
( ~ sQ46_spl
| ~ sQ69_spl
| ~ sQ74_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f2242,f1471]) ).
fof(f2246,plain,
( ~ sQ36_spl
| ~ sQ69_spl
| ~ sQ74_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2242,f1651]) ).
fof(f2247,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2242,f90]) ).
fof(f2248,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2242,f88]) ).
fof(f2249,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f2242,f86]) ).
fof(f2250,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ74_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f2242,f92]) ).
fof(f2251,plain,
( ~ sQ46_spl
| ~ sQ69_spl
| ~ sQ74_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f2245,f232,f357,f341,f258]) ).
fof(f2252,plain,
( ~ sQ66_spl
| ~ sQ71_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f2200,f332]) ).
fof(f2253,plain,
( ~ sQ66_spl
| ~ sQ71_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f2252,f157,f347,f331]) ).
fof(f2254,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1488,f90]) ).
fof(f2255,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ29_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1488,f88]) ).
fof(f2256,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ29_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1488,f86]) ).
fof(f2257,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ29_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1488,f92]) ).
fof(f2259,plain,
( ~ sQ67_spl
| ~ sQ16_spl
| ~ sQ29_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1489,f335]) ).
fof(f2260,plain,
( ~ sQ67_spl
| ~ sQ16_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2259,f72]) ).
fof(f2261,plain,
( ~ sQ67_spl
| ~ sQ16_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f2260]) ).
fof(f2262,plain,
! [X0] :
( ~ sQ53_spl
| product(e_2,X0,e_4)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f151,f1946]) ).
fof(f2263,plain,
( ~ sQ53_spl
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f2262,f71]) ).
fof(f2265,plain,
( ~ sQ53_spl
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f2262,f69]) ).
fof(f2266,plain,
( ~ sQ53_spl
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f2262,f68]) ).
fof(f2267,plain,
( ~ sQ53_spl
| sQ51_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f2263,f269,f272,f278,f285]) ).
fof(f2269,plain,
( ~ sQ53_spl
| sQ59_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f2265,f295,f298,f304,f285]) ).
fof(f2270,plain,
( ~ sQ53_spl
| sQ63_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f2266,f308,f311,f317,f285]) ).
fof(f2271,definition,
! [X1] :
( sQ173_spl
<=> ( equalish(e_2,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f2272,plain,
! [X0] :
( ~ sQ173_spl
| equalish(e_2,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f2271]) ).
fof(f2274,plain,
( ~ sQ61_spl
| sQ173_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f1804,f748,f2271,f311]) ).
fof(f2275,definition,
( sQ174_spl
<=> greater(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f2277,plain,
( sQ174_spl
| ~ greater(e_2,e_2) ),
inference(component_clause,[status(thm)],[f2275]) ).
fof(f2278,plain,
( ~ sQ61_spl
| ~ sQ174_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1805,f123,f2275,f311]) ).
fof(f2279,plain,
( ~ sQ76_spl
| ~ sQ60_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1815,f365]) ).
fof(f2280,plain,
( ~ sQ76_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2279,f72]) ).
fof(f2281,plain,
( ~ sQ76_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2280]) ).
fof(f2282,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ61_spl
| product(e_2,X0,e_4)
| product(e_2,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f2262,f1809]) ).
fof(f2283,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f2282,f71]) ).
fof(f2285,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f2282,f69]) ).
fof(f2287,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| sQ51_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2283,f272,f278,f311,f285]) ).
fof(f2289,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| sQ59_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f2285,f298,f304,f311,f285]) ).
fof(f2291,plain,
( ~ sQ76_spl
| ~ sQ64_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f326,f2121]) ).
fof(f2292,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f326,f90]) ).
fof(f2293,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f326,f88]) ).
fof(f2294,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f326,f86]) ).
fof(f2295,plain,
! [X0] :
( ~ sQ64_spl
| product(e_1,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f326,f92]) ).
fof(f2296,plain,
( ~ sQ76_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2291,f81]) ).
fof(f2297,plain,
( ~ sQ76_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f2296]) ).
fof(f2298,plain,
( ~ sQ17_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2235,f74]) ).
fof(f2299,plain,
( ~ sQ17_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f2298]) ).
fof(f2300,plain,
( ~ sQ56_spl
| ~ sQ49_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f2050,f328,f272,f295]) ).
fof(f2310,plain,
( ~ sQ36_spl
| ~ sQ52_spl
| ~ sQ62_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1978,f1653]) ).
fof(f2311,plain,
( ~ sQ37_spl
| ~ sQ52_spl
| ~ sQ62_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1978,f1647]) ).
fof(f2312,plain,
( ~ sQ41_spl
| ~ sQ52_spl
| ~ sQ62_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1978,f1593]) ).
fof(f2313,plain,
( ~ sQ41_spl
| ~ sQ52_spl
| ~ sQ62_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f1978,f1595]) ).
fof(f2314,plain,
( ~ sQ21_spl
| ~ sQ52_spl
| ~ sQ62_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1978,f1286]) ).
fof(f2315,plain,
( ~ sQ37_spl
| ~ sQ52_spl
| ~ sQ62_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1978,f1646]) ).
fof(f2316,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1978,f90]) ).
fof(f2317,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1978,f88]) ).
fof(f2318,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ62_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1978,f86]) ).
fof(f2319,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ62_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1978,f92]) ).
fof(f2320,plain,
( ~ sQ36_spl
| ~ sQ52_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2310,f75]) ).
fof(f2321,plain,
( ~ sQ36_spl
| ~ sQ52_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2320]) ).
fof(f2324,plain,
( ~ sQ51_spl
| ~ sQ16_spl
| ~ sQ29_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f1488,f1954]) ).
fof(f2326,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1488,f90]) ).
fof(f2327,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ29_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1488,f88]) ).
fof(f2328,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ29_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1488,f86]) ).
fof(f2329,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ29_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1488,f92]) ).
fof(f2333,plain,
( ~ sQ17_spl
| ~ sQ51_spl
| ~ sQ16_spl
| ~ sQ29_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2324,f1441]) ).
fof(f2334,plain,
( ~ sQ24_spl
| ~ sQ51_spl
| ~ sQ16_spl
| ~ sQ29_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f2324,f1251]) ).
fof(f2335,plain,
( ~ sQ17_spl
| ~ sQ51_spl
| ~ sQ16_spl
| ~ sQ29_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2324,f1440]) ).
fof(f2336,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ16_spl
| ~ sQ29_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2324,f90]) ).
fof(f2337,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ16_spl
| ~ sQ29_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2324,f88]) ).
fof(f2338,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ16_spl
| ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f2324,f86]) ).
fof(f2339,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ16_spl
| ~ sQ29_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f2324,f92]) ).
fof(f2342,plain,
( sQ51_spl
| ~ sQ16_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f280,f1488]) ).
fof(f2343,plain,
( sQ51_spl
| ~ sQ16_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f2342]) ).
fof(f2355,plain,
( ~ sQ35_spl
| ~ sQ39_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f236,f1658]) ).
fof(f2356,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f236,f90]) ).
fof(f2357,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f236,f88]) ).
fof(f2358,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f236,f86]) ).
fof(f2359,plain,
! [X0] :
( ~ sQ39_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f236,f92]) ).
fof(f2360,plain,
( ~ sQ35_spl
| ~ sQ39_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f2355,f176,f235,f222]) ).
fof(f2361,plain,
( ~ sQ80_spl
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f431,f47]) ).
fof(f2362,plain,
! [X0] :
( ~ sQ80_spl
| ~ greater(X0,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f431,f47]) ).
fof(f2363,plain,
! [X0] :
( ~ sQ80_spl
| ~ greater(e_1,X0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f431,f50]) ).
fof(f2364,plain,
! [X0] :
( ~ sQ80_spl
| ~ greater(e_1,X0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f431,f49]) ).
fof(f2365,plain,
! [X0] :
( ~ sQ80_spl
| ~ greater(e_1,X0)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f431,f48]) ).
fof(f2366,plain,
! [X0] :
( ~ sQ80_spl
| ~ greater(e_1,X0)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f431,f47]) ).
fof(f2367,plain,
( ~ sQ6_spl
| ~ sQ124_spl
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f635,f117]) ).
fof(f2368,plain,
( ~ sQ10_spl
| ~ sQ124_spl
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f635,f130]) ).
fof(f2369,plain,
( ~ sQ6_spl
| ~ sQ124_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f2367,f761,f634,f116]) ).
fof(f2378,plain,
( ~ sQ39_spl
| ~ sQ33_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f1745,f236]) ).
fof(f2379,plain,
( ~ sQ54_spl
| ~ sQ39_spl
| ~ sQ33_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f2378,f1939]) ).
fof(f2380,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f2378,f90]) ).
fof(f2381,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2378,f88]) ).
fof(f2382,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2378,f86]) ).
fof(f2383,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ33_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2378,f92]) ).
fof(f2384,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ39_spl
| ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2379,f90]) ).
fof(f2385,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ39_spl
| ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2379,f88]) ).
fof(f2386,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ39_spl
| ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f2379,f86]) ).
fof(f2387,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ39_spl
| ~ sQ33_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f2379,f92]) ).
fof(f2388,plain,
( ~ sQ39_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2380,f2378]) ).
fof(f2389,plain,
( ~ sQ39_spl
| ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2381,f2378]) ).
fof(f2392,plain,
( ~ sQ85_spl
| ~ sQ7_spl
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f120,f448]) ).
fof(f2393,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ greater(X1,X0)
| ~ next(X1,e_3)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f120,f420]) ).
fof(f2400,plain,
( ~ sQ46_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f259,f1470]) ).
fof(f2401,plain,
( ~ sQ37_spl
| ~ sQ46_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f259,f1649]) ).
fof(f2402,plain,
( ~ sQ46_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f259,f1469]) ).
fof(f2403,plain,
( ~ sQ62_spl
| ~ sQ46_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f259,f1789]) ).
fof(f2404,plain,
( ~ sQ46_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f259,f1468]) ).
fof(f2411,plain,
( ~ sQ62_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2403,f79]) ).
fof(f2412,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f2411]) ).
fof(f2416,plain,
( ~ sQ54_spl
| ~ sQ37_spl
| ~ sQ46_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f2401,f1939]) ).
fof(f2417,plain,
( ~ sQ46_spl
| ~ sQ37_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2401,f1468]) ).
fof(f2418,plain,
! [X0,X1] :
( ~ sQ37_spl
| ~ sQ46_spl
| equalish(e_3,X1)
| ~ next(e_2,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f2401,f67]) ).
fof(f2419,plain,
( ~ sQ37_spl
| ~ sQ46_spl
| ~ greater(e_3,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f2401,f65]) ).
fof(f2420,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2401,f90]) ).
fof(f2421,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2401,f88]) ).
fof(f2422,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2401,f86]) ).
fof(f2423,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ46_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f2401,f92]) ).
fof(f2426,plain,
( ~ sQ46_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2417,f76]) ).
fof(f2427,plain,
( ~ sQ46_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f2426]) ).
fof(f2428,plain,
( ~ sQ39_spl
| ~ sQ33_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f2378,f288,f216,f235]) ).
fof(f2446,plain,
( ~ sQ20_spl
| ~ sQ69_spl
| ~ sQ74_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f2242,f1420]) ).
fof(f2447,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2242,f90]) ).
fof(f2448,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2242,f88]) ).
fof(f2449,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f2242,f86]) ).
fof(f2450,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ74_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f2242,f92]) ).
fof(f2451,plain,
( ~ sQ20_spl
| ~ sQ69_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2446,f80]) ).
fof(f2452,plain,
( ~ sQ20_spl
| ~ sQ69_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f2451]) ).
fof(f2469,plain,
( ~ sQ17_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f161,f1442]) ).
fof(f2470,plain,
( ~ sQ29_spl
| ~ sQ17_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f161,f591]) ).
fof(f2471,plain,
( ~ sQ17_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f161,f1441]) ).
fof(f2472,plain,
( ~ sQ24_spl
| ~ sQ17_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f161,f1251]) ).
fof(f2478,plain,
( ~ sQ29_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2470,f81]) ).
fof(f2479,plain,
( ~ sQ29_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2478]) ).
fof(f2480,plain,
( ~ sQ29_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f200,f592]) ).
fof(f2481,plain,
( ~ sQ29_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f200,f591]) ).
fof(f2482,plain,
( ~ sQ24_spl
| ~ sQ29_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f200,f1251]) ).
fof(f2483,plain,
( ~ sQ45_spl
| ~ sQ29_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f200,f1515]) ).
fof(f2484,plain,
( ~ sQ29_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f200,f590]) ).
fof(f2491,plain,
( ~ sQ24_spl
| ~ sQ29_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f2482,f373,f199,f183]) ).
fof(f2492,plain,
( ~ sQ45_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2483,f83]) ).
fof(f2493,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f2492]) ).
fof(f2494,plain,
( ~ sQ22_spl
| ~ sQ32_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f1858,f344,f213,f176]) ).
fof(f2495,plain,
( ~ sQ45_spl
| ~ sQ32_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f1759,f275,f213,f255]) ).
fof(f2496,plain,
! [X0] :
( ~ sQ82_spl
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f438,f56]) ).
fof(f2498,plain,
! [X0] :
( ~ sQ82_spl
| ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f438,f53]) ).
fof(f2499,plain,
( ~ sQ82_spl
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f438,f50]) ).
fof(f2500,plain,
! [X0] :
( ~ sQ82_spl
| ~ greater(X0,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f438,f50]) ).
fof(f2501,plain,
! [X0] :
( ~ sQ82_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f438,f50]) ).
fof(f2502,plain,
! [X0] :
( ~ sQ82_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f438,f49]) ).
fof(f2503,plain,
! [X0] :
( ~ sQ82_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f438,f48]) ).
fof(f2504,plain,
! [X0] :
( ~ sQ82_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f438,f47]) ).
fof(f2505,plain,
( ~ sQ7_spl
| ~ sQ122_spl
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f628,f120]) ).
fof(f2506,plain,
( ~ sQ7_spl
| ~ sQ122_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f2505,f761,f627,f119]) ).
fof(f2539,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1273,f90]) ).
fof(f2540,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1273,f88]) ).
fof(f2541,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1273,f86]) ).
fof(f2542,plain,
! [X0] :
( ~ sQ22_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1273,f92]) ).
fof(f2543,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ49_spl
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f2262,f2055]) ).
fof(f2546,plain,
( ~ sQ53_spl
| ~ sQ49_spl
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f2543,f69]) ).
fof(f2547,plain,
( ~ sQ53_spl
| ~ sQ49_spl
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f2543,f68]) ).
fof(f2550,plain,
( ~ sQ53_spl
| ~ sQ49_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f2546,f295,f298,f272,f285]) ).
fof(f2551,plain,
( ~ sQ53_spl
| ~ sQ49_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f2547,f308,f311,f272,f285]) ).
fof(f2552,plain,
( ~ sQ63_spl
| ~ sQ48_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f2059,f160,f269,f317]) ).
fof(f2561,plain,
! [X0] :
( ~ sQ49_spl
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f151,f2055]) ).
fof(f2563,plain,
( ~ sQ49_spl
| 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)],[f2561,f70]) ).
fof(f2564,plain,
( ~ sQ49_spl
| 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)],[f2561,f69]) ).
fof(f2565,plain,
( ~ sQ49_spl
| 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)],[f2561,f68]) ).
fof(f2567,plain,
( ~ sQ49_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f2563,f282,f285,f288,f272]) ).
fof(f2568,plain,
( ~ sQ49_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f2564,f295,f298,f301,f272]) ).
fof(f2569,plain,
( ~ sQ49_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f2565,f308,f311,f314,f272]) ).
fof(f2570,plain,
( ~ sQ21_spl
| ~ sQ52_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2314,f80]) ).
fof(f2571,plain,
( ~ sQ21_spl
| ~ sQ52_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2570]) ).
fof(f2572,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ61_spl
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f2561,f1809]) ).
fof(f2574,plain,
( ~ sQ49_spl
| ~ sQ61_spl
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f2572,f70]) ).
fof(f2575,plain,
( ~ sQ49_spl
| ~ sQ61_spl
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f2572,f69]) ).
fof(f2578,plain,
( ~ sQ49_spl
| ~ sQ61_spl
| sQ54_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f2574,f285,f288,f311,f272]) ).
fof(f2579,plain,
( ~ sQ49_spl
| ~ sQ61_spl
| sQ58_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f2575,f298,f301,f311,f272]) ).
fof(f2581,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ61_spl
| product(e_2,X0,e_4)
| product(e_2,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2262,f1809]) ).
fof(f2584,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| product(e_2,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2581,f2055]) ).
fof(f2585,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f2584,f71]) ).
fof(f2586,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f2584,f70]) ).
fof(f2587,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f2584,f69]) ).
fof(f2588,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f2584,f68]) ).
fof(f2589,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2585,f90]) ).
fof(f2590,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f2585,f88]) ).
fof(f2591,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f2585,f86]) ).
fof(f2593,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2586,f90]) ).
fof(f2594,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f2586,f88]) ).
fof(f2595,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2586,f86]) ).
fof(f2596,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| product(e_2,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2586,f92]) ).
fof(f2597,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f2587,f90]) ).
fof(f2598,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f2587,f88]) ).
fof(f2599,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f2587,f86]) ).
fof(f2603,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2588,f90]) ).
fof(f2604,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f2588,f88]) ).
fof(f2605,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2588,f86]) ).
fof(f2609,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2589,f2585]) ).
fof(f2610,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2590,f2588]) ).
fof(f2611,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f2590,f2587]) ).
fof(f2612,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f2590,f2586]) ).
fof(f2613,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2590,f2585]) ).
fof(f2614,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2610,f74]) ).
fof(f2615,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f2614]) ).
fof(f2616,plain,
! [X0] :
( ~ sQ61_spl
| product(e_2,X0,e_4)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f151,f1809]) ).
fof(f2617,plain,
( ~ sQ61_spl
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f2616,f71]) ).
fof(f2618,plain,
( ~ sQ61_spl
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f2616,f70]) ).
fof(f2619,plain,
( ~ sQ61_spl
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f2616,f69]) ).
fof(f2621,plain,
( ~ sQ61_spl
| sQ51_spl
| sQ50_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2617,f272,f275,f278,f311]) ).
fof(f2622,plain,
( ~ sQ61_spl
| sQ55_spl
| sQ54_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f2618,f285,f288,f291,f311]) ).
fof(f2623,plain,
( ~ sQ61_spl
| sQ59_spl
| sQ58_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f2619,f298,f301,f304,f311]) ).
fof(f2633,plain,
( ~ sQ125_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f638,f43]) ).
fof(f2634,plain,
( ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2633,f75]) ).
fof(f2635,plain,
~ sQ125_spl,
inference(contradiction_clause,[status(thm)],[f2634]) ).
fof(f2636,plain,
! [X0] :
( ~ sQ130_spl
| ~ greater(X0,e_1)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f683,f56]) ).
fof(f2637,plain,
! [X0] :
( ~ sQ130_spl
| ~ greater(X0,e_1)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f683,f55]) ).
fof(f2638,plain,
( ~ sQ130_spl
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f683,f53]) ).
fof(f2639,plain,
! [X0] :
( ~ sQ130_spl
| ~ greater(X0,e_1)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f683,f53]) ).
fof(f2640,plain,
! [X0] :
( ~ sQ130_spl
| ~ greater(X0,e_1)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f683,f50]) ).
fof(f2641,plain,
! [X0] :
( ~ sQ130_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f683,f53]) ).
fof(f2642,plain,
! [X0] :
( ~ sQ130_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f683,f52]) ).
fof(f2643,plain,
! [X0] :
( ~ sQ130_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f683,f51]) ).
fof(f2644,plain,
! [X0] :
( ~ sQ132_spl
| ~ greater(X0,e_2)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f690,f56]) ).
fof(f2645,plain,
( ~ sQ132_spl
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f690,f55]) ).
fof(f2646,plain,
! [X0] :
( ~ sQ132_spl
| ~ greater(X0,e_2)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f690,f55]) ).
fof(f2647,plain,
! [X0] :
( ~ sQ132_spl
| ~ greater(X0,e_2)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f690,f53]) ).
fof(f2648,plain,
! [X0] :
( ~ sQ132_spl
| ~ greater(X0,e_2)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f690,f50]) ).
fof(f2649,plain,
! [X0] :
( ~ sQ132_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f690,f55]) ).
fof(f2650,plain,
! [X0] :
( ~ sQ132_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f690,f54]) ).
fof(f2651,plain,
( ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f739,f56]) ).
fof(f2652,plain,
( ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f739,f55]) ).
fof(f2653,plain,
( ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f739,f53]) ).
fof(f2655,plain,
( ~ next(e_3,e_4)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f739,f54]) ).
fof(f2656,plain,
( ~ next(e_3,e_4)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f739,f52]) ).
fof(f2657,plain,
( ~ next(e_3,e_4)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f739,f49]) ).
fof(f2658,plain,
( ~ next(e_2,e_4)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f739,f51]) ).
fof(f2659,plain,
( ~ next(e_2,e_4)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f739,f48]) ).
fof(f2660,plain,
( ~ next(e_1,e_4)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f739,f47]) ).
fof(f2661,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f2651,f444,f97,f440]) ).
fof(f2662,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f2652,f455,f97,f440]) ).
fof(f2663,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f2653,f466,f97,f440]) ).
fof(f2665,plain,
( ~ sQ142_spl
| ~ sQ4_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f2655,f455,f110,f761]) ).
fof(f2666,plain,
( ~ sQ142_spl
| ~ sQ4_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f2656,f466,f110,f761]) ).
fof(f2667,plain,
( ~ sQ142_spl
| ~ sQ4_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2657,f477,f110,f761]) ).
fof(f2668,plain,
( ~ sQ143_spl
| ~ sQ8_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f2658,f466,f123,f768]) ).
fof(f2669,plain,
( ~ sQ143_spl
| ~ sQ8_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2659,f477,f123,f768]) ).
fof(f2670,plain,
( ~ sQ144_spl
| ~ sQ12_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2660,f477,f136,f774]) ).
fof(f2672,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f167,f560]) ).
fof(f2673,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f1428]) ).
fof(f2679,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2672,f81]) ).
fof(f2680,plain,
( ~ sQ31_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2679]) ).
fof(f2690,plain,
( ~ sQ16_spl
| ~ sQ31_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f206,f1449]) ).
fof(f2692,plain,
( ~ sQ31_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f206,f560]) ).
fof(f2693,plain,
( ~ sQ47_spl
| ~ sQ31_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f206,f1452]) ).
fof(f2694,plain,
( ~ sQ31_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f206,f559]) ).
fof(f2701,plain,
( ~ sQ16_spl
| ~ sQ31_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f2690,f373,f205,f157]) ).
fof(f2703,plain,
( ~ sQ47_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2693,f83]) ).
fof(f2704,plain,
( ~ sQ47_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2703]) ).
fof(f2707,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ31_spl
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1120,f562]) ).
fof(f2708,plain,
( ~ sQ27_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1554,f80]) ).
fof(f2709,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2708]) ).
fof(f2710,plain,
( ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_3) ),
inference(resolution,[status(thm)],[f740,f56]) ).
fof(f2711,plain,
( ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f740,f55]) ).
fof(f2712,plain,
( ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f740,f53]) ).
fof(f2713,plain,
( ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f740,f50]) ).
fof(f2714,plain,
( ~ next(e_3,e_4)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f740,f54]) ).
fof(f2715,plain,
( ~ next(e_3,e_4)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f740,f52]) ).
fof(f2717,plain,
( ~ next(e_2,e_4)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f740,f51]) ).
fof(f2718,plain,
( ~ next(e_2,e_4)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f740,f48]) ).
fof(f2719,plain,
( ~ next(e_1,e_4)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f740,f47]) ).
fof(f2720,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2710,f119,f97,f440]) ).
fof(f2721,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2711,f132,f97,f440]) ).
fof(f2722,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2712,f145,f97,f440]) ).
fof(f2723,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f2713,f504,f97,f440]) ).
fof(f2724,plain,
( ~ sQ142_spl
| ~ sQ4_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2714,f132,f110,f761]) ).
fof(f2725,plain,
( ~ sQ142_spl
| ~ sQ4_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2715,f145,f110,f761]) ).
fof(f2727,plain,
( ~ sQ143_spl
| ~ sQ8_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2717,f145,f123,f768]) ).
fof(f2728,plain,
( ~ sQ143_spl
| ~ sQ8_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f2718,f504,f123,f768]) ).
fof(f2729,plain,
( ~ sQ144_spl
| ~ sQ12_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f2719,f504,f136,f774]) ).
fof(f2730,plain,
( ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_2) ),
inference(resolution,[status(thm)],[f741,f56]) ).
fof(f2731,plain,
( ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[f741,f55]) ).
fof(f2732,plain,
( ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f741,f53]) ).
fof(f2733,plain,
( ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f741,f50]) ).
fof(f2734,plain,
( ~ next(e_3,e_4)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[f741,f54]) ).
fof(f2735,plain,
( ~ next(e_3,e_4)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f741,f52]) ).
fof(f2736,plain,
( ~ next(e_3,e_4)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f741,f49]) ).
fof(f2737,plain,
( ~ next(e_2,e_4)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f741,f51]) ).
fof(f2739,plain,
( ~ next(e_1,e_4)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f741,f47]) ).
fof(f2740,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2730,f116,f97,f440]) ).
fof(f2741,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2731,f129,f97,f440]) ).
fof(f2742,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2732,f142,f97,f440]) ).
fof(f2743,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f2733,f523,f97,f440]) ).
fof(f2744,plain,
( ~ sQ142_spl
| ~ sQ4_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2734,f129,f110,f761]) ).
fof(f2745,plain,
( ~ sQ142_spl
| ~ sQ4_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2735,f142,f110,f761]) ).
fof(f2746,plain,
( ~ sQ142_spl
| ~ sQ4_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f2736,f523,f110,f761]) ).
fof(f2747,plain,
( ~ sQ143_spl
| ~ sQ8_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2737,f142,f123,f768]) ).
fof(f2749,plain,
( ~ sQ144_spl
| ~ sQ12_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f2739,f523,f136,f774]) ).
fof(f2750,plain,
( ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_1) ),
inference(resolution,[status(thm)],[f742,f56]) ).
fof(f2751,plain,
( ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_1) ),
inference(resolution,[status(thm)],[f742,f55]) ).
fof(f2752,plain,
( ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_1) ),
inference(resolution,[status(thm)],[f742,f53]) ).
fof(f2753,plain,
( ~ next(e_4,e_4)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f742,f50]) ).
fof(f2754,plain,
( ~ next(e_3,e_4)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_1) ),
inference(resolution,[status(thm)],[f742,f54]) ).
fof(f2755,plain,
( ~ next(e_3,e_4)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_1) ),
inference(resolution,[status(thm)],[f742,f52]) ).
fof(f2756,plain,
( ~ next(e_3,e_4)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f742,f49]) ).
fof(f2757,plain,
( ~ next(e_2,e_4)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_1) ),
inference(resolution,[status(thm)],[f742,f51]) ).
fof(f2758,plain,
( ~ next(e_2,e_4)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f742,f48]) ).
fof(f2760,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2750,f113,f97,f440]) ).
fof(f2761,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2751,f126,f97,f440]) ).
fof(f2762,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2752,f139,f97,f440]) ).
fof(f2763,plain,
( ~ sQ83_spl
| ~ sQ0_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f2753,f534,f97,f440]) ).
fof(f2764,plain,
( ~ sQ142_spl
| ~ sQ4_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2754,f126,f110,f761]) ).
fof(f2765,plain,
( ~ sQ142_spl
| ~ sQ4_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2755,f139,f110,f761]) ).
fof(f2766,plain,
( ~ sQ142_spl
| ~ sQ4_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f2756,f534,f110,f761]) ).
fof(f2767,plain,
( ~ sQ143_spl
| ~ sQ8_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2757,f139,f123,f768]) ).
fof(f2768,plain,
( ~ sQ143_spl
| ~ sQ8_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f2758,f534,f123,f768]) ).
fof(f2786,plain,
( ~ sQ31_spl
| ~ sQ18_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1437,f206]) ).
fof(f2787,plain,
( ~ sQ31_spl
| ~ sQ18_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f2786,f261,f163,f205]) ).
fof(f2788,plain,
( ~ sQ31_spl
| ~ sQ17_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f1443,f206]) ).
fof(f2789,plain,
( ~ sQ31_spl
| ~ sQ17_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f2788,f559]) ).
fof(f2790,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ17_spl
| equalish(e_4,X1)
| ~ next(e_2,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f2788,f67]) ).
fof(f2791,plain,
( ~ sQ31_spl
| ~ sQ17_spl
| ~ greater(e_4,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f2788,f65]) ).
fof(f2792,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2788,f90]) ).
fof(f2793,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ17_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2788,f88]) ).
fof(f2794,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ17_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2788,f86]) ).
fof(f2795,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ17_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f2788,f92]) ).
fof(f2796,plain,
( ~ sQ31_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2789,f77]) ).
fof(f2797,plain,
( ~ sQ31_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2796]) ).
fof(f2814,plain,
( ~ sQ141_spl
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f758,f50]) ).
fof(f2815,plain,
( ~ sQ141_spl
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f758,f49]) ).
fof(f2816,plain,
( ~ sQ141_spl
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f758,f48]) ).
fof(f2817,plain,
( ~ sQ141_spl
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f758,f47]) ).
fof(f2818,plain,
( ~ sQ140_spl
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f753,f50]) ).
fof(f2820,plain,
( ~ sQ140_spl
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f753,f48]) ).
fof(f2821,plain,
( ~ sQ140_spl
| ~ cycle(e_1,e_1) ),
inference(resolution,[status(thm)],[f753,f47]) ).
fof(f2822,plain,
( ~ sQ139_spl
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f749,f50]) ).
fof(f2823,plain,
( ~ sQ139_spl
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f749,f49]) ).
fof(f2824,plain,
( ~ sQ139_spl
| ~ cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[f749,f48]) ).
fof(f2825,plain,
( ~ sQ139_spl
| ~ cycle(e_2,e_1) ),
inference(resolution,[status(thm)],[f749,f47]) ).
fof(f2826,plain,
( ~ sQ139_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2824,f130]) ).
fof(f2827,plain,
( ~ sQ139_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2826]) ).
fof(f2828,plain,
( ~ sQ139_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2823,f132,f748]) ).
fof(f2829,plain,
( ~ sQ9_spl
| ~ sQ139_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f127,f2825]) ).
fof(f2830,plain,
( ~ sQ9_spl
| ~ sQ139_spl ),
inference(contradiction_clause,[status(thm)],[f2829]) ).
fof(f2834,plain,
! [X0,X1] :
( ~ sQ11_spl
| ~ greater(X1,X0)
| ~ next(X1,e_2)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f133,f420]) ).
fof(f2835,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f133,f388]) ).
fof(f2836,plain,
! [X0,X1] :
( ~ sQ11_spl
| ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ next(e_4,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f133,f394]) ).
fof(f2837,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f133,f64]) ).
fof(f2838,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f133,f62]) ).
fof(f2839,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f133,f58]) ).
fof(f2840,plain,
( ~ sQ11_spl
| ~ sQ131_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f2836,f675,f685,f132]) ).
fof(f2843,plain,
( ~ sQ58_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f302,f1830]) ).
fof(f2844,plain,
( ~ sQ62_spl
| ~ sQ58_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f302,f1790]) ).
fof(f2845,plain,
( ~ sQ54_spl
| ~ sQ58_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f302,f1937]) ).
fof(f2846,plain,
( ~ sQ54_spl
| ~ sQ58_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f302,f1939]) ).
fof(f2847,plain,
( ~ sQ58_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f302,f1829]) ).
fof(f2848,plain,
( ~ sQ58_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f302,f1828]) ).
fof(f2853,plain,
( ~ sQ62_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2844,f75]) ).
fof(f2854,plain,
( ~ sQ62_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f2853]) ).
fof(f2855,plain,
( ~ sQ45_spl
| ~ sQ52_spl
| ~ sQ62_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1978,f1516]) ).
fof(f2857,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1978,f90]) ).
fof(f2858,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1978,f88]) ).
fof(f2859,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ62_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1978,f86]) ).
fof(f2860,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ62_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1978,f92]) ).
fof(f2861,plain,
( ~ sQ45_spl
| ~ sQ52_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2855,f78]) ).
fof(f2862,plain,
( ~ sQ45_spl
| ~ sQ52_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2861]) ).
fof(f2863,plain,
( ~ sQ34_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f220,f1661]) ).
fof(f2864,plain,
( ~ sQ36_spl
| ~ sQ34_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f220,f1654]) ).
fof(f2865,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f220,f1660]) ).
fof(f2866,plain,
( ~ sQ34_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f220,f1659]) ).
fof(f2871,plain,
( ~ sQ36_spl
| ~ sQ34_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f2864,f331,f219,f226]) ).
fof(f2872,plain,
( ~ sQ34_spl
| ~ sQ66_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2228,f220]) ).
fof(f2873,plain,
( ~ sQ34_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2872,f78]) ).
fof(f2874,plain,
( ~ sQ34_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f2873]) ).
fof(f2875,plain,
( ~ sQ34_spl
| ~ sQ37_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1649,f220]) ).
fof(f2876,plain,
( ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ37_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2875,f2054]) ).
fof(f2877,plain,
( ~ sQ54_spl
| ~ sQ34_spl
| ~ sQ37_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2875,f1937]) ).
fof(f2878,plain,
( ~ sQ54_spl
| ~ sQ34_spl
| ~ sQ37_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f2875,f1939]) ).
fof(f2879,plain,
( ~ sQ62_spl
| ~ sQ34_spl
| ~ sQ37_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2875,f1790]) ).
fof(f2880,plain,
( ~ sQ34_spl
| ~ sQ37_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2875,f1659]) ).
fof(f2881,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2875,f90]) ).
fof(f2882,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ37_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2875,f88]) ).
fof(f2883,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f2875,f86]) ).
fof(f2884,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ37_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2875,f92]) ).
fof(f2885,plain,
( ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2876,f79]) ).
fof(f2886,plain,
( ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f2885]) ).
fof(f2887,plain,
( ~ sQ82_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f1045,f748,f437]) ).
fof(f2897,plain,
( ~ sQ138_spl
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f745,f50]) ).
fof(f2898,plain,
( ~ sQ138_spl
| ~ cycle(e_3,e_3) ),
inference(resolution,[status(thm)],[f745,f49]) ).
fof(f2899,plain,
( ~ sQ138_spl
| ~ cycle(e_3,e_2) ),
inference(resolution,[status(thm)],[f745,f48]) ).
fof(f2900,plain,
( ~ sQ138_spl
| ~ cycle(e_3,e_1) ),
inference(resolution,[status(thm)],[f745,f47]) ).
fof(f2901,plain,
( ~ sQ138_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2898,f119,f744]) ).
fof(f2902,plain,
( ~ sQ140_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2820,f142,f752]) ).
fof(f2903,plain,
( ~ sQ56_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2187,f72]) ).
fof(f2904,plain,
( ~ sQ56_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f2903]) ).
fof(f2913,plain,
! [X0] :
( ~ sQ68_spl
| product(e_1,X0,e_4)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f152,f2220]) ).
fof(f2914,plain,
( ~ sQ96_spl
| ~ sQ14_spl
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f143,f489]) ).
fof(f2915,plain,
( ~ sQ88_spl
| ~ sQ14_spl
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f143,f459]) ).
fof(f2916,plain,
! [X0,X1] :
( ~ sQ14_spl
| ~ greater(X1,X0)
| ~ next(X1,e_1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f143,f421]) ).
fof(f2917,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f143,f389]) ).
fof(f2919,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f143,f64]) ).
fof(f2920,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f143,f62]) ).
fof(f2921,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_2)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f143,f58]) ).
fof(f2923,plain,
( ~ sQ45_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f256,f1517]) ).
fof(f2924,plain,
( ~ sQ33_spl
| ~ sQ45_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f256,f1743]) ).
fof(f2925,plain,
( ~ sQ40_spl
| ~ sQ45_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f256,f1636]) ).
fof(f2926,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f256,f1516]) ).
fof(f2927,plain,
( ~ sQ45_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f256,f1515]) ).
fof(f2934,plain,
( ~ sQ33_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2924,f74]) ).
fof(f2935,plain,
( ~ sQ33_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f2934]) ).
fof(f2936,plain,
( ~ sQ40_spl
| ~ sQ45_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f2925,f370,f255,f239]) ).
fof(f2939,plain,
( ~ sQ36_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2216,f73]) ).
fof(f2940,plain,
( ~ sQ36_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f2939]) ).
fof(f2942,plain,
( ~ sQ7_spl
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f553,f56]) ).
fof(f2943,plain,
! [X0] :
( ~ sQ7_spl
| ~ greater(X0,e_3)
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f553,f56]) ).
fof(f2944,plain,
! [X0] :
( ~ sQ7_spl
| ~ greater(X0,e_3)
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f553,f55]) ).
fof(f2945,plain,
! [X0] :
( ~ sQ7_spl
| ~ greater(X0,e_3)
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f553,f53]) ).
fof(f2946,plain,
! [X0] :
( ~ sQ7_spl
| ~ greater(X0,e_3)
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f553,f50]) ).
fof(f2947,plain,
! [X0] :
( ~ sQ7_spl
| ~ greater(X0,e_3)
| ~ next(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f553,f54]) ).
fof(f2948,plain,
! [X0] :
( ~ sQ7_spl
| ~ greater(X0,e_3)
| ~ next(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f553,f52]) ).
fof(f2949,plain,
! [X0] :
( ~ sQ7_spl
| ~ greater(X0,e_3)
| ~ next(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f553,f49]) ).
fof(f2950,plain,
! [X0] :
( ~ sQ7_spl
| ~ greater(X0,e_3)
| ~ next(e_2,e_3)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f553,f51]) ).
fof(f2951,plain,
! [X0] :
( ~ sQ7_spl
| ~ greater(X0,e_3)
| ~ next(e_2,e_3)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f553,f48]) ).
fof(f2952,plain,
! [X0] :
( ~ sQ7_spl
| ~ greater(X0,e_3)
| ~ next(e_1,e_3)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f553,f47]) ).
fof(f2953,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ greater(X1,X0)
| ~ next(X1,e_3)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f553,f56]) ).
fof(f2955,plain,
( ~ sQ7_spl
| ~ sQ129_spl
| ~ sQ0_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f2942,f444,f97,f678,f119]) ).
fof(f2956,definition,
! [X0] :
( sQ175_spl
<=> ( ~ greater(X0,e_3)
| ~ cycle(e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f2957,plain,
! [X0] :
( ~ sQ175_spl
| ~ greater(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(component_clause,[status(thm)],[f2956]) ).
fof(f2959,plain,
( ~ sQ7_spl
| ~ sQ129_spl
| ~ sQ0_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f2943,f2956,f97,f678,f119]) ).
fof(f2960,definition,
! [X0] :
( sQ176_spl
<=> ( ~ greater(X0,e_3)
| ~ cycle(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f2961,plain,
! [X0] :
( ~ sQ176_spl
| ~ greater(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(component_clause,[status(thm)],[f2960]) ).
fof(f2963,plain,
( ~ sQ7_spl
| ~ sQ129_spl
| ~ sQ0_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f2944,f2960,f97,f678,f119]) ).
fof(f2964,definition,
! [X0] :
( sQ177_spl
<=> ( ~ greater(X0,e_3)
| ~ cycle(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f2965,plain,
! [X0] :
( ~ sQ177_spl
| ~ greater(X0,e_3)
| ~ cycle(e_1,X0) ),
inference(component_clause,[status(thm)],[f2964]) ).
fof(f2967,plain,
( ~ sQ7_spl
| ~ sQ129_spl
| ~ sQ0_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f2945,f2964,f97,f678,f119]) ).
fof(f2968,definition,
! [X0] :
( sQ178_spl
<=> ( ~ greater(X0,e_3)
| ~ cycle(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f2969,plain,
! [X0] :
( ~ sQ178_spl
| ~ greater(X0,e_3)
| ~ cycle(e_0,X0) ),
inference(component_clause,[status(thm)],[f2968]) ).
fof(f2971,plain,
( ~ sQ7_spl
| ~ sQ129_spl
| ~ sQ0_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f2946,f2968,f97,f678,f119]) ).
fof(f2972,definition,
( sQ179_spl
<=> next(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f2974,plain,
( sQ179_spl
| ~ next(e_3,e_3) ),
inference(component_clause,[status(thm)],[f2972]) ).
fof(f2975,plain,
( ~ sQ7_spl
| ~ sQ179_spl
| ~ sQ4_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f2947,f2960,f110,f2972,f119]) ).
fof(f2976,plain,
( ~ sQ7_spl
| ~ sQ179_spl
| ~ sQ4_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f2948,f2964,f110,f2972,f119]) ).
fof(f2977,plain,
( ~ sQ7_spl
| ~ sQ179_spl
| ~ sQ4_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f2949,f2968,f110,f2972,f119]) ).
fof(f2978,definition,
( sQ180_spl
<=> next(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f2980,plain,
( sQ180_spl
| ~ next(e_2,e_3) ),
inference(component_clause,[status(thm)],[f2978]) ).
fof(f2981,plain,
( ~ sQ7_spl
| ~ sQ180_spl
| ~ sQ8_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f2950,f2964,f123,f2978,f119]) ).
fof(f2982,plain,
( ~ sQ7_spl
| ~ sQ180_spl
| ~ sQ8_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f2951,f2968,f123,f2978,f119]) ).
fof(f2983,definition,
( sQ181_spl
<=> next(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f2985,plain,
( sQ181_spl
| ~ next(e_1,e_3) ),
inference(component_clause,[status(thm)],[f2983]) ).
fof(f2986,plain,
( ~ sQ7_spl
| ~ sQ181_spl
| ~ sQ12_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f2952,f2968,f136,f2983,f119]) ).
fof(f2987,plain,
( sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2980,f45]) ).
fof(f2988,plain,
sQ180_spl,
inference(contradiction_clause,[status(thm)],[f2987]) ).
fof(f2989,plain,
! [X0,X1] :
( ~ sQ7_spl
| equalish(e_4,X1)
| ~ next(e_3,X1)
| ~ next(X0,e_3)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f554,f50]) ).
fof(f2990,plain,
! [X0,X1] :
( ~ sQ7_spl
| equalish(e_3,X1)
| ~ next(e_3,X1)
| ~ next(X0,e_3)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f554,f49]) ).
fof(f2991,plain,
! [X0,X1] :
( ~ sQ7_spl
| equalish(e_2,X1)
| ~ next(e_3,X1)
| ~ next(X0,e_3)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f554,f48]) ).
fof(f2992,plain,
! [X0,X1] :
( ~ sQ7_spl
| equalish(e_1,X1)
| ~ next(e_3,X1)
| ~ next(X0,e_3)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f554,f47]) ).
fof(f2993,definition,
! [X0] :
( sQ182_spl
<=> ( ~ next(X0,e_3)
| ~ cycle(X0,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f2994,plain,
! [X0] :
( ~ sQ182_spl
| ~ next(X0,e_3)
| ~ cycle(X0,e_4) ),
inference(component_clause,[status(thm)],[f2993]) ).
fof(f2996,plain,
( ~ sQ7_spl
| sQ151_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f2989,f2993,f1456,f119]) ).
fof(f2997,definition,
! [X0] :
( sQ183_spl
<=> ( ~ next(X0,e_3)
| ~ cycle(X0,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f2998,plain,
! [X0] :
( ~ sQ183_spl
| ~ next(X0,e_3)
| ~ cycle(X0,e_3) ),
inference(component_clause,[status(thm)],[f2997]) ).
fof(f3000,plain,
( ~ sQ7_spl
| sQ153_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f2990,f2997,f1472,f119]) ).
fof(f3001,definition,
! [X0] :
( sQ184_spl
<=> ( ~ next(X0,e_3)
| ~ cycle(X0,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f3002,plain,
! [X0] :
( ~ sQ184_spl
| ~ next(X0,e_3)
| ~ cycle(X0,e_2) ),
inference(component_clause,[status(thm)],[f3001]) ).
fof(f3004,plain,
( ~ sQ7_spl
| sQ155_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f2991,f3001,f1519,f119]) ).
fof(f3005,definition,
! [X0] :
( sQ185_spl
<=> ( ~ next(X0,e_3)
| ~ cycle(X0,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f3006,plain,
! [X0] :
( ~ sQ185_spl
| ~ next(X0,e_3)
| ~ cycle(X0,e_1) ),
inference(component_clause,[status(thm)],[f3005]) ).
fof(f3008,plain,
( ~ sQ7_spl
| sQ169_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f2992,f3005,f2134,f119]) ).
fof(f3009,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ sQ12_spl
| ~ greater(X1,e_3)
| ~ greater(e_1,X0)
| ~ next(e_1,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f137,f553]) ).
fof(f3012,plain,
( ~ sQ94_spl
| ~ sQ12_spl
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f137,f481]) ).
fof(f3021,definition,
! [X0,X1] :
( sQ186_spl
<=> ( ~ greater(X1,e_3)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f3022,plain,
! [X0,X1] :
( ~ sQ186_spl
| ~ greater(X1,e_3)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f3021]) ).
fof(f3024,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| ~ sQ181_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f3009,f3021,f2983,f136,f119]) ).
fof(f3074,plain,
( ~ sQ7_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f555,f120]) ).
fof(f3075,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ7_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f648,f130]) ).
fof(f3076,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ7_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f648,f137]) ).
fof(f3077,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ next(e_3,X0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f648,f120]) ).
fof(f3078,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f648,f60]) ).
fof(f3079,definition,
( sQ187_spl
<=> next(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f3081,plain,
( sQ187_spl
| ~ next(e_3,e_2) ),
inference(component_clause,[status(thm)],[f3079]) ).
fof(f3082,plain,
( ~ sQ10_spl
| ~ sQ7_spl
| sQ159_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f3075,f3079,f1793,f119,f129]) ).
fof(f3083,definition,
( sQ188_spl
<=> next(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f3085,plain,
( sQ188_spl
| ~ next(e_3,e_1) ),
inference(component_clause,[status(thm)],[f3083]) ).
fof(f3086,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| sQ123_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f3076,f3083,f630,f119,f136]) ).
fof(f3087,plain,
( ~ sQ7_spl
| sQ153_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f3077,f2972,f1472,f119]) ).
fof(f3088,plain,
( ~ sQ7_spl
| sQ123_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f3078,f761,f630,f119]) ).
fof(f3090,plain,
( ~ sQ7_spl
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f2393,f55]) ).
fof(f3091,plain,
( ~ sQ7_spl
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f2393,f53]) ).
fof(f3092,plain,
( ~ sQ7_spl
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f2393,f50]) ).
fof(f3093,plain,
( ~ sQ7_spl
| ~ next(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f2393,f54]) ).
fof(f3094,plain,
( ~ sQ7_spl
| ~ next(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f2393,f52]) ).
fof(f3095,plain,
( ~ sQ7_spl
| ~ next(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f2393,f49]) ).
fof(f3096,plain,
( ~ sQ7_spl
| ~ next(e_2,e_3)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f2393,f51]) ).
fof(f3097,plain,
( ~ sQ7_spl
| ~ next(e_2,e_3)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f2393,f48]) ).
fof(f3098,plain,
( ~ sQ7_spl
| ~ next(e_1,e_3)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f2393,f47]) ).
fof(f3100,plain,
( ~ sQ7_spl
| ~ sQ129_spl
| ~ sQ0_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f3090,f455,f97,f678,f119]) ).
fof(f3101,plain,
( ~ sQ7_spl
| ~ sQ129_spl
| ~ sQ0_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3091,f466,f97,f678,f119]) ).
fof(f3102,plain,
( ~ sQ7_spl
| ~ sQ129_spl
| ~ sQ0_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3092,f477,f97,f678,f119]) ).
fof(f3103,plain,
( ~ sQ7_spl
| ~ sQ179_spl
| ~ sQ4_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f3093,f455,f110,f2972,f119]) ).
fof(f3104,plain,
( ~ sQ7_spl
| ~ sQ179_spl
| ~ sQ4_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3094,f466,f110,f2972,f119]) ).
fof(f3105,plain,
( ~ sQ7_spl
| ~ sQ179_spl
| ~ sQ4_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3095,f477,f110,f2972,f119]) ).
fof(f3106,plain,
( ~ sQ7_spl
| ~ sQ180_spl
| ~ sQ8_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3096,f466,f123,f2978,f119]) ).
fof(f3107,plain,
( ~ sQ7_spl
| ~ sQ180_spl
| ~ sQ8_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3097,f477,f123,f2978,f119]) ).
fof(f3108,plain,
( ~ sQ7_spl
| ~ sQ181_spl
| ~ sQ12_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3098,f477,f136,f2983,f119]) ).
fof(f3109,plain,
( ~ sQ54_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f289,f1938]) ).
fof(f3110,plain,
( ~ sQ54_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f289,f1937]) ).
fof(f3111,plain,
( ~ sQ54_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f289,f1939]) ).
fof(f3112,plain,
( ~ sQ54_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f289,f1936]) ).
fof(f3117,plain,
( ~ sQ37_spl
| ~ sQ54_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3111,f1648]) ).
fof(f3118,plain,
( ~ sQ33_spl
| ~ sQ54_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f3111,f1743]) ).
fof(f3119,plain,
( ~ sQ37_spl
| ~ sQ54_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3111,f1647]) ).
fof(f3120,plain,
( ~ sQ40_spl
| ~ sQ54_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f3111,f1636]) ).
fof(f3121,plain,
( ~ sQ69_spl
| ~ sQ54_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f3111,f2209]) ).
fof(f3123,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f3111,f90]) ).
fof(f3124,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f3111,f88]) ).
fof(f3125,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f3111,f86]) ).
fof(f3126,plain,
! [X0] :
( ~ sQ54_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f3111,f92]) ).
fof(f3127,plain,
( ~ sQ33_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3118,f80]) ).
fof(f3128,plain,
( ~ sQ33_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f3127]) ).
fof(f3138,plain,
( ~ sQ51_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f279,f1953]) ).
fof(f3139,plain,
( ~ sQ51_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f279,f1952]) ).
fof(f3140,plain,
( ~ sQ51_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f279,f1954]) ).
fof(f3141,plain,
( ~ sQ51_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f279,f1951]) ).
fof(f3146,plain,
( ~ sQ16_spl
| ~ sQ51_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f3140,f1448]) ).
fof(f3149,plain,
( ~ sQ26_spl
| ~ sQ51_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f3140,f1157]) ).
fof(f3150,plain,
( ~ sQ33_spl
| ~ sQ51_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f3140,f1742]) ).
fof(f3151,plain,
( ~ sQ17_spl
| ~ sQ51_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3140,f1440]) ).
fof(f3152,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f3140,f90]) ).
fof(f3153,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f3140,f88]) ).
fof(f3154,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f3140,f86]) ).
fof(f3155,plain,
! [X0] :
( ~ sQ51_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f3140,f92]) ).
fof(f3156,plain,
( ~ sQ16_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3146,f75]) ).
fof(f3157,plain,
( ~ sQ16_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f3156]) ).
fof(f3158,plain,
( ~ sQ26_spl
| ~ sQ51_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f3149,f222,f278,f189]) ).
fof(f3159,plain,
( ~ sQ33_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3150,f83]) ).
fof(f3160,plain,
( ~ sQ33_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f3159]) ).
fof(f3169,plain,
! [X0] :
( ~ sQ72_spl
| product(e_1,X0,e_4)
| product(e_1,X0,e_3)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f152,f2192]) ).
fof(f3170,plain,
( ~ sQ72_spl
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f3169,f71]) ).
fof(f3171,plain,
( ~ sQ72_spl
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f3169,f70]) ).
fof(f3173,plain,
( ~ sQ72_spl
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f3169,f68]) ).
fof(f3174,plain,
( ~ sQ72_spl
| sQ67_spl
| sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f3170,f325,f331,f334,f351]) ).
fof(f3175,plain,
( ~ sQ72_spl
| sQ71_spl
| sQ70_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f3171,f338,f344,f347,f351]) ).
fof(f3177,plain,
( ~ sQ72_spl
| sQ79_spl
| sQ78_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f3173,f364,f370,f373,f351]) ).
fof(f3186,plain,
( ~ sQ85_spl
| ~ sQ11_spl
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f133,f448]) ).
fof(f3189,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ11_spl
| equalish(e_3,X0)
| ~ next(e_3,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f133,f648]) ).
fof(f3194,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| sQ153_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f3189,f3079,f1472,f132,f119]) ).
fof(f3196,plain,
( ~ sQ96_spl
| ~ sQ14_spl
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f143,f489]) ).
fof(f3197,plain,
( ~ sQ88_spl
| ~ sQ14_spl
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f143,f459]) ).
fof(f3198,plain,
! [X0,X1] :
( ~ sQ14_spl
| ~ greater(X1,X0)
| ~ next(X1,e_1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f143,f421]) ).
fof(f3199,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f143,f389]) ).
fof(f3200,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ14_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f143,f648]) ).
fof(f3202,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f143,f64]) ).
fof(f3203,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f143,f62]) ).
fof(f3204,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_2)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f143,f58]) ).
fof(f3205,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sQ159_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f3200,f3083,f1793,f142,f119]) ).
fof(f3207,plain,
( ~ sQ123_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f631,f43]) ).
fof(f3208,plain,
( ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3207,f78]) ).
fof(f3209,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f3208]) ).
fof(f3210,plain,
( ~ sQ140_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2821,f139,f752]) ).
fof(f3211,plain,
( ~ sQ138_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2900,f113,f744]) ).
fof(f3220,plain,
! [X0] :
( ~ sQ64_spl
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f152,f2295]) ).
fof(f3222,plain,
( ~ sQ64_spl
| 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)],[f3220,f70]) ).
fof(f3223,plain,
( ~ sQ64_spl
| 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)],[f3220,f69]) ).
fof(f3224,plain,
( ~ sQ64_spl
| 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)],[f3220,f68]) ).
fof(f3226,plain,
( ~ sQ64_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f3222,f338,f341,f344,f325]) ).
fof(f3227,plain,
( ~ sQ64_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f3223,f351,f354,f357,f325]) ).
fof(f3228,plain,
( ~ sQ64_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f3224,f364,f367,f370,f325]) ).
fof(f3237,plain,
( ~ sQ103_spl
| ~ sQ5_spl
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f114,f516]) ).
fof(f3238,plain,
( ~ sQ98_spl
| ~ sQ5_spl
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f114,f497]) ).
fof(f3239,plain,
( ~ sQ126_spl
| ~ sQ5_spl
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f114,f642]) ).
fof(f3240,plain,
( ~ sQ91_spl
| ~ sQ5_spl
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f114,f470]) ).
fof(f3249,plain,
( ~ sQ103_spl
| ~ sQ5_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f3237,f2978,f113,f515]) ).
fof(f3250,plain,
( ~ sQ126_spl
| ~ sQ5_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f3239,f761,f113,f641]) ).
fof(f3273,plain,
( ~ sQ94_spl
| ~ sQ12_spl
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f137,f481]) ).
fof(f3322,plain,
( ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f262,f1454]) ).
fof(f3323,plain,
( ~ sQ32_spl
| ~ sQ47_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f262,f1763]) ).
fof(f3324,plain,
( ~ sQ47_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f262,f1453]) ).
fof(f3325,plain,
( ~ sQ63_spl
| ~ sQ47_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f262,f1773]) ).
fof(f3326,plain,
( ~ sQ47_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f262,f1452]) ).
fof(f3333,plain,
( ~ sQ32_spl
| ~ sQ47_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f3323,f370,f261,f213]) ).
fof(f3334,plain,
( ~ sQ63_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3325,f79]) ).
fof(f3335,plain,
( ~ sQ63_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f3334]) ).
fof(f3354,plain,
( ~ sQ47_spl
| ~ sQ33_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f1745,f262]) ).
fof(f3355,plain,
( ~ sQ47_spl
| ~ sQ33_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f3354,f314,f216,f261]) ).
fof(f3364,plain,
( ~ sQ67_spl
| ~ sQ24_spl
| ~ sQ17_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2472,f2225]) ).
fof(f3365,plain,
( ~ sQ67_spl
| ~ sQ24_spl
| ~ sQ17_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2472,f2224]) ).
fof(f3366,plain,
( ~ sQ67_spl
| ~ sQ24_spl
| ~ sQ17_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f2472,f2226]) ).
fof(f3367,plain,
( ~ sQ67_spl
| ~ sQ24_spl
| ~ sQ17_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2472,f2223]) ).
fof(f3368,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ17_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f2472,f90]) ).
fof(f3369,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ17_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2472,f88]) ).
fof(f3370,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ17_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f2472,f86]) ).
fof(f3371,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ17_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2472,f92]) ).
fof(f3372,plain,
( ~ sQ67_spl
| ~ sQ24_spl
| ~ sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f3366,f157,f160,f183,f334]) ).
fof(f3373,plain,
( ~ sQ33_spl
| ~ sQ52_spl
| ~ sQ62_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1978,f1743]) ).
fof(f3374,plain,
( ~ sQ43_spl
| ~ sQ52_spl
| ~ sQ62_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f1978,f1558]) ).
fof(f3375,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1978,f90]) ).
fof(f3376,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1978,f88]) ).
fof(f3377,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ62_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1978,f86]) ).
fof(f3378,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ62_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1978,f92]) ).
fof(f3379,plain,
( ~ sQ33_spl
| ~ sQ52_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3373,f80]) ).
fof(f3380,plain,
( ~ sQ33_spl
| ~ sQ52_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f3379]) ).
fof(f3381,plain,
( ~ sQ47_spl
| ~ sQ43_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1556,f262]) ).
fof(f3382,plain,
( ~ sQ47_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3381,f72]) ).
fof(f3383,plain,
( ~ sQ47_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f3382]) ).
fof(f3384,plain,
( ~ sQ70_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f345,f2204]) ).
fof(f3385,plain,
( ~ sQ66_spl
| ~ sQ70_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f345,f2229]) ).
fof(f3386,plain,
( ~ sQ70_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f345,f2203]) ).
fof(f3387,plain,
( ~ sQ70_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f345,f2205]) ).
fof(f3388,plain,
( ~ sQ38_spl
| ~ sQ70_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f345,f1639]) ).
fof(f3389,plain,
( ~ sQ70_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f345,f2202]) ).
fof(f3390,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f345,f90]) ).
fof(f3391,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f345,f88]) ).
fof(f3392,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f345,f86]) ).
fof(f3393,plain,
! [X0] :
( ~ sQ70_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f345,f92]) ).
fof(f3394,plain,
( ~ sQ66_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3385,f80]) ).
fof(f3395,plain,
( ~ sQ66_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f3394]) ).
fof(f3396,plain,
( ~ sQ38_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3388,f73]) ).
fof(f3397,plain,
( ~ sQ38_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f3396]) ).
fof(f3398,plain,
( ~ sQ11_spl
| ~ sQ145_spl
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f796,f133]) ).
fof(f3399,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f2122]) ).
fof(f3400,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f2121]) ).
fof(f3401,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f2120]) ).
fof(f3411,plain,
( ~ sQ134_spl
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f703,f56]) ).
fof(f3412,plain,
( ~ sQ134_spl
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f703,f55]) ).
fof(f3413,plain,
( ~ sQ134_spl
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f703,f53]) ).
fof(f3414,plain,
( ~ sQ134_spl
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f703,f50]) ).
fof(f3415,plain,
( ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f217,f1744]) ).
fof(f3416,plain,
( ~ sQ40_spl
| ~ sQ33_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f217,f1636]) ).
fof(f3417,plain,
( ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f217,f1743]) ).
fof(f3418,plain,
( ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f217,f1742]) ).
fof(f3423,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1641]) ).
fof(f3424,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1640]) ).
fof(f3425,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1639]) ).
fof(f3430,plain,
( ~ sQ128_spl
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f676,f56]) ).
fof(f3431,plain,
! [X0] :
( ~ sQ128_spl
| ~ greater(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f676,f56]) ).
fof(f3432,plain,
! [X0] :
( ~ sQ128_spl
| ~ greater(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f676,f55]) ).
fof(f3433,plain,
! [X0] :
( ~ sQ128_spl
| ~ greater(X0,e_3)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f676,f53]) ).
fof(f3434,plain,
! [X0] :
( ~ sQ128_spl
| ~ greater(X0,e_3)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f676,f50]) ).
fof(f3435,plain,
! [X0] :
( ~ sQ128_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f676,f56]) ).
fof(f3436,plain,
( ~ sQ127_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f645,f43]) ).
fof(f3437,plain,
( ~ sQ5_spl
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_3) ),
inference(resolution,[status(thm)],[f929,f56]) ).
fof(f3438,plain,
( ~ sQ5_spl
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f929,f55]) ).
fof(f3439,plain,
( ~ sQ5_spl
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f929,f53]) ).
fof(f3440,plain,
( ~ sQ5_spl
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f929,f50]) ).
fof(f3441,plain,
( ~ sQ5_spl
| ~ next(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f929,f54]) ).
fof(f3442,plain,
( ~ sQ5_spl
| ~ next(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f929,f52]) ).
fof(f3443,plain,
( ~ sQ5_spl
| ~ next(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f929,f49]) ).
fof(f3444,plain,
( ~ sQ5_spl
| ~ next(e_2,e_3)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f929,f51]) ).
fof(f3445,plain,
( ~ sQ5_spl
| ~ next(e_2,e_3)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f929,f48]) ).
fof(f3446,plain,
( ~ sQ5_spl
| ~ next(e_1,e_3)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f929,f47]) ).
fof(f3447,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| ~ sQ0_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f3437,f119,f97,f678,f113]) ).
fof(f3448,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3438,f132,f97,f678,f113]) ).
fof(f3449,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| ~ sQ0_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f3439,f145,f97,f678,f113]) ).
fof(f3450,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| ~ sQ0_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f3440,f504,f97,f678,f113]) ).
fof(f3451,plain,
( ~ sQ5_spl
| ~ sQ179_spl
| ~ sQ4_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3441,f132,f110,f2972,f113]) ).
fof(f3452,plain,
( ~ sQ5_spl
| ~ sQ179_spl
| ~ sQ4_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f3442,f145,f110,f2972,f113]) ).
fof(f3453,plain,
( ~ sQ5_spl
| ~ sQ179_spl
| ~ sQ4_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f3443,f504,f110,f2972,f113]) ).
fof(f3454,plain,
( ~ sQ5_spl
| ~ sQ180_spl
| ~ sQ8_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f3444,f145,f123,f2978,f113]) ).
fof(f3455,plain,
( ~ sQ5_spl
| ~ sQ180_spl
| ~ sQ8_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f3445,f504,f123,f2978,f113]) ).
fof(f3456,plain,
( ~ sQ5_spl
| ~ sQ181_spl
| ~ sQ12_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f3446,f504,f136,f2983,f113]) ).
fof(f3459,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f3416,f2212]) ).
fof(f3461,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ33_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f3416,f90]) ).
fof(f3462,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f3416,f88]) ).
fof(f3463,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f3416,f86]) ).
fof(f3464,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ33_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f3416,f92]) ).
fof(f3472,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3459,f92]) ).
fof(f3473,plain,
( ~ sQ5_spl
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f930,f56]) ).
fof(f3474,plain,
( ~ sQ5_spl
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f930,f55]) ).
fof(f3475,plain,
( ~ sQ5_spl
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f930,f53]) ).
fof(f3476,plain,
( ~ sQ5_spl
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f930,f50]) ).
fof(f3477,plain,
( ~ sQ5_spl
| ~ next(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f930,f54]) ).
fof(f3478,plain,
( ~ sQ5_spl
| ~ next(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f930,f52]) ).
fof(f3479,plain,
( ~ sQ5_spl
| ~ next(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f930,f49]) ).
fof(f3480,plain,
( ~ sQ5_spl
| ~ next(e_2,e_3)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f930,f51]) ).
fof(f3481,plain,
( ~ sQ5_spl
| ~ next(e_2,e_3)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f930,f48]) ).
fof(f3482,plain,
( ~ sQ5_spl
| ~ next(e_1,e_3)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f930,f47]) ).
fof(f3483,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| ~ sQ0_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f3473,f444,f97,f678,f113]) ).
fof(f3484,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| ~ sQ0_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f3474,f455,f97,f678,f113]) ).
fof(f3485,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| ~ sQ0_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3475,f466,f97,f678,f113]) ).
fof(f3486,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| ~ sQ0_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3476,f477,f97,f678,f113]) ).
fof(f3487,plain,
( ~ sQ5_spl
| ~ sQ179_spl
| ~ sQ4_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f3477,f455,f110,f2972,f113]) ).
fof(f3488,plain,
( ~ sQ5_spl
| ~ sQ179_spl
| ~ sQ4_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3478,f466,f110,f2972,f113]) ).
fof(f3489,plain,
( ~ sQ5_spl
| ~ sQ179_spl
| ~ sQ4_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3479,f477,f110,f2972,f113]) ).
fof(f3490,plain,
( ~ sQ5_spl
| ~ sQ180_spl
| ~ sQ8_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3480,f466,f123,f2978,f113]) ).
fof(f3491,plain,
( ~ sQ5_spl
| ~ sQ180_spl
| ~ sQ8_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3481,f477,f123,f2978,f113]) ).
fof(f3492,plain,
( ~ sQ5_spl
| ~ sQ181_spl
| ~ sQ12_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3482,f477,f136,f2983,f113]) ).
fof(f3493,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ5_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f931,f137]) ).
fof(f3494,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ5_spl
| equalish(e_1,X0)
| ~ next(e_3,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f931,f133]) ).
fof(f3495,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f931,f114]) ).
fof(f3496,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f931,f60]) ).
fof(f3497,plain,
( ~ sQ12_spl
| ~ sQ5_spl
| sQ127_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f3493,f3083,f644,f113,f136]) ).
fof(f3498,plain,
( ~ sQ11_spl
| ~ sQ5_spl
| sQ169_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f3494,f3079,f2134,f113,f132]) ).
fof(f3499,plain,
( ~ sQ5_spl
| sQ167_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f3495,f2972,f2126,f113]) ).
fof(f3500,plain,
( ~ sQ5_spl
| sQ127_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f3496,f761,f644,f113]) ).
fof(f3501,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ sQ5_spl
| ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ next(e_1,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f933,f137]) ).
fof(f3503,plain,
! [X0] :
( ~ sQ5_spl
| ~ greater(X0,e_1)
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f933,f56]) ).
fof(f3504,plain,
! [X0] :
( ~ sQ5_spl
| ~ greater(X0,e_1)
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f933,f55]) ).
fof(f3506,plain,
! [X0] :
( ~ sQ5_spl
| ~ greater(X0,e_1)
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f933,f53]) ).
fof(f3507,plain,
! [X0] :
( ~ sQ5_spl
| ~ greater(X0,e_1)
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f933,f50]) ).
fof(f3508,plain,
! [X0] :
( ~ sQ5_spl
| ~ greater(X0,e_1)
| ~ next(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f933,f54]) ).
fof(f3510,plain,
! [X0] :
( ~ sQ5_spl
| ~ greater(X0,e_1)
| ~ next(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f933,f52]) ).
fof(f3511,plain,
! [X0] :
( ~ sQ5_spl
| ~ greater(X0,e_1)
| ~ next(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f933,f49]) ).
fof(f3512,plain,
( ~ sQ5_spl
| ~ next(e_2,e_3)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f933,f51]) ).
fof(f3513,plain,
! [X0] :
( ~ sQ5_spl
| ~ greater(X0,e_1)
| ~ next(e_2,e_3)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f933,f51]) ).
fof(f3514,plain,
! [X0] :
( ~ sQ5_spl
| ~ greater(X0,e_1)
| ~ next(e_2,e_3)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f933,f48]) ).
fof(f3515,plain,
! [X0] :
( ~ sQ5_spl
| ~ greater(X0,e_1)
| ~ next(e_1,e_3)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f933,f47]) ).
fof(f3519,definition,
! [X0,X1] :
( sQ189_spl
<=> ( ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f3520,plain,
! [X0,X1] :
( ~ sQ189_spl
| ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f3519]) ).
fof(f3522,plain,
( ~ sQ12_spl
| ~ sQ5_spl
| ~ sQ181_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f3501,f3519,f2983,f113,f136]) ).
fof(f3524,definition,
! [X0] :
( sQ190_spl
<=> ( ~ greater(X0,e_1)
| ~ cycle(e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f3525,plain,
! [X0] :
( ~ sQ190_spl
| ~ greater(X0,e_1)
| ~ cycle(e_3,X0) ),
inference(component_clause,[status(thm)],[f3524]) ).
fof(f3527,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| ~ sQ0_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f3503,f3524,f97,f678,f113]) ).
fof(f3528,definition,
! [X0] :
( sQ191_spl
<=> ( ~ greater(X0,e_1)
| ~ cycle(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f3529,plain,
! [X0] :
( ~ sQ191_spl
| ~ greater(X0,e_1)
| ~ cycle(e_2,X0) ),
inference(component_clause,[status(thm)],[f3528]) ).
fof(f3531,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| ~ sQ0_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f3504,f3528,f97,f678,f113]) ).
fof(f3533,definition,
! [X0] :
( sQ192_spl
<=> ( ~ greater(X0,e_1)
| ~ cycle(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f3534,plain,
! [X0] :
( ~ sQ192_spl
| ~ greater(X0,e_1)
| ~ cycle(e_1,X0) ),
inference(component_clause,[status(thm)],[f3533]) ).
fof(f3536,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| ~ sQ0_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f3506,f3533,f97,f678,f113]) ).
fof(f3537,definition,
! [X0] :
( sQ193_spl
<=> ( ~ greater(X0,e_1)
| ~ cycle(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f3538,plain,
! [X0] :
( ~ sQ193_spl
| ~ greater(X0,e_1)
| ~ cycle(e_0,X0) ),
inference(component_clause,[status(thm)],[f3537]) ).
fof(f3540,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| ~ sQ0_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f3507,f3537,f97,f678,f113]) ).
fof(f3541,plain,
( ~ sQ5_spl
| ~ sQ179_spl
| ~ sQ4_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f3508,f3528,f110,f2972,f113]) ).
fof(f3543,plain,
( ~ sQ5_spl
| ~ sQ179_spl
| ~ sQ4_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f3510,f3533,f110,f2972,f113]) ).
fof(f3544,plain,
( ~ sQ5_spl
| ~ sQ179_spl
| ~ sQ4_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f3511,f3537,f110,f2972,f113]) ).
fof(f3545,plain,
( ~ sQ5_spl
| ~ sQ180_spl
| ~ sQ8_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3512,f142,f123,f2978,f113]) ).
fof(f3546,plain,
( ~ sQ5_spl
| ~ sQ180_spl
| ~ sQ8_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f3513,f3533,f123,f2978,f113]) ).
fof(f3547,plain,
( ~ sQ5_spl
| ~ sQ180_spl
| ~ sQ8_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f3514,f3537,f123,f2978,f113]) ).
fof(f3548,plain,
( ~ sQ5_spl
| ~ sQ181_spl
| ~ sQ12_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f3515,f3537,f136,f2983,f113]) ).
fof(f3549,plain,
! [X0,X1] :
( ~ sQ5_spl
| equalish(e_4,X1)
| ~ next(e_1,X1)
| ~ next(X0,e_3)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f934,f50]) ).
fof(f3550,plain,
! [X0,X1] :
( ~ sQ5_spl
| equalish(e_3,X1)
| ~ next(e_1,X1)
| ~ next(X0,e_3)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f934,f49]) ).
fof(f3551,plain,
! [X0,X1] :
( ~ sQ5_spl
| equalish(e_2,X1)
| ~ next(e_1,X1)
| ~ next(X0,e_3)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f934,f48]) ).
fof(f3552,plain,
! [X0,X1] :
( ~ sQ5_spl
| equalish(e_1,X1)
| ~ next(e_1,X1)
| ~ next(X0,e_3)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f934,f47]) ).
fof(f3553,plain,
( ~ sQ5_spl
| sQ161_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f3549,f2993,f2075,f113]) ).
fof(f3554,plain,
( ~ sQ5_spl
| sQ163_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f3550,f2997,f2091,f113]) ).
fof(f3555,plain,
( ~ sQ5_spl
| sQ165_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f3551,f3001,f2107,f113]) ).
fof(f3556,plain,
( ~ sQ5_spl
| sQ167_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f3552,f3005,f2126,f113]) ).
fof(f3557,plain,
( ~ sQ62_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f315,f1791]) ).
fof(f3558,plain,
( ~ sQ62_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f315,f1790]) ).
fof(f3559,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f315,f1934]) ).
fof(f3560,plain,
( ~ sQ62_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f315,f1789]) ).
fof(f3570,plain,
( ~ sQ29_spl
| ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3559,f591]) ).
fof(f3572,plain,
( ~ sQ29_spl
| ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3559,f590]) ).
fof(f3573,plain,
! [X0,X1] :
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_2,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f3559,f67]) ).
fof(f3574,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ greater(e_2,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f3559,f65]) ).
fof(f3575,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3559,f90]) ).
fof(f3576,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f3559,f88]) ).
fof(f3577,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f3559,f86]) ).
fof(f3578,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f3559,f92]) ).
fof(f3579,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| sQ116_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f3573,f563,f594,f314,f291]) ).
fof(f3580,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ117_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f3574,f97,f598,f314,f291]) ).
fof(f3581,plain,
( ~ sQ73_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f355,f2182]) ).
fof(f3582,plain,
( ~ sQ69_spl
| ~ sQ73_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f355,f2210]) ).
fof(f3583,plain,
( ~ sQ73_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f355,f2181]) ).
fof(f3584,plain,
( ~ sQ73_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f355,f2183]) ).
fof(f3585,plain,
( ~ sQ73_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f355,f2180]) ).
fof(f3586,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f355,f90]) ).
fof(f3587,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f355,f88]) ).
fof(f3588,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f355,f86]) ).
fof(f3589,plain,
! [X0] :
( ~ sQ73_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f355,f92]) ).
fof(f3590,plain,
( ~ sQ69_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3582,f76]) ).
fof(f3591,plain,
( ~ sQ69_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f3590]) ).
fof(f3592,plain,
( sQ29_spl
| ~ sQ55_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f201,f3559]) ).
fof(f3593,plain,
( sQ29_spl
| ~ sQ55_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f3592]) ).
fof(f3594,plain,
( ~ sQ40_spl
| ~ sQ33_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f3416,f331,f216,f239]) ).
fof(f3595,plain,
( ~ sQ27_spl
| ~ sQ21_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1285,f179,f173,f192]) ).
fof(f3596,plain,
( ~ sQ47_spl
| ~ sQ70_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f3387,f1455]) ).
fof(f3597,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3387,f90]) ).
fof(f3598,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f3387,f88]) ).
fof(f3599,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f3387,f86]) ).
fof(f3600,plain,
! [X0] :
( ~ sQ70_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f3387,f92]) ).
fof(f3601,plain,
( ~ sQ47_spl
| ~ sQ70_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3596,f176,f344,f261]) ).
fof(f3602,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3577,f3559]) ).
fof(f3603,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3576,f3559]) ).
fof(f3604,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3575,f3559]) ).
fof(f3605,plain,
( ~ sQ33_spl
| ~ sQ41_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1595,f217]) ).
fof(f3606,plain,
( ~ sQ33_spl
| ~ sQ41_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f3605,f275,f242,f216]) ).
fof(f3607,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1157,f3559]) ).
fof(f3608,plain,
( ~ sQ33_spl
| ~ sQ40_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1636,f217]) ).
fof(f3612,plain,
( ~ sQ48_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3459,f2061]) ).
fof(f3613,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f3459,f90]) ).
fof(f3614,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f3459,f88]) ).
fof(f3615,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f3459,f86]) ).
fof(f3616,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3459,f92]) ).
fof(f3621,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ40_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f3608,f92]) ).
fof(f3622,plain,
( ~ sQ33_spl
| ~ sQ40_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3463,f3608]) ).
fof(f3623,plain,
( ~ sQ33_spl
| ~ sQ40_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3462,f3608]) ).
fof(f3624,plain,
( ~ sQ33_spl
| ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3461,f3608]) ).
fof(f3625,plain,
( ~ sQ5_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f935,f114]) ).
fof(f3626,plain,
( ~ sQ5_spl
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_2) ),
inference(resolution,[status(thm)],[f982,f56]) ).
fof(f3627,plain,
( ~ sQ5_spl
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[f982,f55]) ).
fof(f3628,plain,
( ~ sQ5_spl
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f982,f53]) ).
fof(f3629,plain,
( ~ sQ5_spl
| ~ next(e_4,e_3)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f982,f50]) ).
fof(f3630,plain,
( ~ sQ5_spl
| ~ next(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[f982,f54]) ).
fof(f3631,plain,
( ~ sQ5_spl
| ~ next(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f982,f52]) ).
fof(f3632,plain,
( ~ sQ5_spl
| ~ next(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f982,f49]) ).
fof(f3634,plain,
( ~ sQ5_spl
| ~ next(e_2,e_3)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f982,f48]) ).
fof(f3635,plain,
( ~ sQ5_spl
| ~ next(e_1,e_3)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f982,f47]) ).
fof(f3636,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| ~ sQ0_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3626,f116,f97,f678,f113]) ).
fof(f3637,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| ~ sQ0_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3627,f129,f97,f678,f113]) ).
fof(f3638,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| ~ sQ0_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3628,f142,f97,f678,f113]) ).
fof(f3639,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| ~ sQ0_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f3629,f523,f97,f678,f113]) ).
fof(f3640,plain,
( ~ sQ5_spl
| ~ sQ179_spl
| ~ sQ4_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3630,f129,f110,f2972,f113]) ).
fof(f3641,plain,
( ~ sQ5_spl
| ~ sQ179_spl
| ~ sQ4_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3631,f142,f110,f2972,f113]) ).
fof(f3642,plain,
( ~ sQ5_spl
| ~ sQ179_spl
| ~ sQ4_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f3632,f523,f110,f2972,f113]) ).
fof(f3644,plain,
( ~ sQ5_spl
| ~ sQ180_spl
| ~ sQ8_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f3634,f523,f123,f2978,f113]) ).
fof(f3645,plain,
( ~ sQ5_spl
| ~ sQ181_spl
| ~ sQ12_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f3635,f523,f136,f2983,f113]) ).
fof(f3646,plain,
( ~ sQ55_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f292,f1933]) ).
fof(f3647,plain,
( ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f292,f1932]) ).
fof(f3648,plain,
( ~ sQ48_spl
| ~ sQ55_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f292,f2064]) ).
fof(f3649,plain,
( ~ sQ55_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f292,f1931]) ).
fof(f3654,plain,
( ~ sQ11_spl
| ~ sQ122_spl
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f628,f133]) ).
fof(f3655,plain,
( ~ sQ11_spl
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f2834,f56]) ).
fof(f3656,plain,
( ~ sQ11_spl
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f2834,f55]) ).
fof(f3657,plain,
( ~ sQ11_spl
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f2834,f53]) ).
fof(f3658,plain,
( ~ sQ11_spl
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f2834,f50]) ).
fof(f3659,plain,
( ~ sQ11_spl
| ~ next(e_3,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f2834,f54]) ).
fof(f3660,plain,
( ~ sQ11_spl
| ~ next(e_3,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f2834,f52]) ).
fof(f3661,plain,
( ~ sQ11_spl
| ~ next(e_3,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f2834,f49]) ).
fof(f3662,plain,
( ~ sQ11_spl
| ~ next(e_2,e_2)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f2834,f51]) ).
fof(f3663,plain,
( ~ sQ11_spl
| ~ next(e_2,e_2)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f2834,f48]) ).
fof(f3664,plain,
( ~ sQ11_spl
| ~ next(e_1,e_2)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f2834,f47]) ).
fof(f3665,plain,
( ~ sQ11_spl
| ~ sQ131_spl
| ~ sQ0_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f3655,f444,f97,f685,f132]) ).
fof(f3666,plain,
( ~ sQ11_spl
| ~ sQ131_spl
| ~ sQ0_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f3656,f455,f97,f685,f132]) ).
fof(f3667,plain,
( ~ sQ11_spl
| ~ sQ131_spl
| ~ sQ0_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3657,f466,f97,f685,f132]) ).
fof(f3668,plain,
( ~ sQ11_spl
| ~ sQ131_spl
| ~ sQ0_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3658,f477,f97,f685,f132]) ).
fof(f3669,plain,
( ~ sQ11_spl
| ~ sQ187_spl
| ~ sQ4_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f3659,f455,f110,f3079,f132]) ).
fof(f3670,plain,
( ~ sQ11_spl
| ~ sQ187_spl
| ~ sQ4_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3660,f466,f110,f3079,f132]) ).
fof(f3671,plain,
( ~ sQ11_spl
| ~ sQ187_spl
| ~ sQ4_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3661,f477,f110,f3079,f132]) ).
fof(f3672,definition,
( sQ194_spl
<=> next(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f3674,plain,
( sQ194_spl
| ~ next(e_2,e_2) ),
inference(component_clause,[status(thm)],[f3672]) ).
fof(f3675,plain,
( ~ sQ11_spl
| ~ sQ194_spl
| ~ sQ8_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3662,f466,f123,f3672,f132]) ).
fof(f3676,plain,
( ~ sQ11_spl
| ~ sQ194_spl
| ~ sQ8_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3663,f477,f123,f3672,f132]) ).
fof(f3677,definition,
( sQ195_spl
<=> next(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f3679,plain,
( sQ195_spl
| ~ next(e_1,e_2) ),
inference(component_clause,[status(thm)],[f3677]) ).
fof(f3680,plain,
( ~ sQ11_spl
| ~ sQ195_spl
| ~ sQ12_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3664,f477,f136,f3677,f132]) ).
fof(f3681,plain,
( sQ195_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3679,f44]) ).
fof(f3682,plain,
sQ195_spl,
inference(contradiction_clause,[status(thm)],[f3681]) ).
fof(f3683,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ11_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f2835,f137]) ).
fof(f3684,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,X0)
| ~ next(e_3,X0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f2835,f133]) ).
fof(f3685,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ11_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f2835,f114]) ).
fof(f3686,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f2835,f60]) ).
fof(f3687,definition,
( sQ196_spl
<=> next(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f3689,plain,
( sQ196_spl
| ~ next(e_2,e_1) ),
inference(component_clause,[status(thm)],[f3687]) ).
fof(f3690,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| sQ123_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f3683,f3687,f630,f132,f136]) ).
fof(f3691,plain,
( ~ sQ11_spl
| sQ153_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f3684,f3672,f1472,f132]) ).
fof(f3692,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| sQ163_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f3685,f2978,f2091,f132,f113]) ).
fof(f3693,plain,
( ~ sQ11_spl
| sQ123_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f3686,f768,f630,f132]) ).
fof(f3694,plain,
( ~ sQ69_spl
| ~ sQ48_spl
| ~ sQ55_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3648,f2211]) ).
fof(f3695,plain,
( ~ sQ69_spl
| ~ sQ48_spl
| ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3648,f2210]) ).
fof(f3696,plain,
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f3648,f2167]) ).
fof(f3697,plain,
( ~ sQ69_spl
| ~ sQ48_spl
| ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3648,f2209]) ).
fof(f3698,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f3648,f90]) ).
fof(f3699,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f3648,f88]) ).
fof(f3700,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ55_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f3648,f86]) ).
fof(f3701,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ55_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f3648,f92]) ).
fof(f3703,plain,
( ~ sQ20_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3696,f1421]) ).
fof(f3706,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3696,f90]) ).
fof(f3707,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f3696,f88]) ).
fof(f3708,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f3696,f86]) ).
fof(f3709,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f3696,f92]) ).
fof(f3710,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f1919]) ).
fof(f3711,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f1918]) ).
fof(f3712,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f1917]) ).
fof(f3717,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f1429]) ).
fof(f3718,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f1428]) ).
fof(f3719,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f1427]) ).
fof(f3724,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ sQ11_spl
| ~ greater(X1,e_3)
| ~ greater(e_1,X0)
| ~ next(e_1,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f2837,f137]) ).
fof(f3727,plain,
! [X0] :
( ~ sQ11_spl
| ~ greater(X0,e_3)
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f2837,f56]) ).
fof(f3728,plain,
! [X0] :
( ~ sQ11_spl
| ~ greater(X0,e_3)
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f2837,f55]) ).
fof(f3729,plain,
! [X0] :
( ~ sQ11_spl
| ~ greater(X0,e_3)
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f2837,f53]) ).
fof(f3730,plain,
! [X0] :
( ~ sQ11_spl
| ~ greater(X0,e_3)
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f2837,f50]) ).
fof(f3731,plain,
! [X0] :
( ~ sQ11_spl
| ~ greater(X0,e_3)
| ~ next(e_3,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f2837,f54]) ).
fof(f3732,plain,
! [X0] :
( ~ sQ11_spl
| ~ greater(X0,e_3)
| ~ next(e_3,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f2837,f52]) ).
fof(f3733,plain,
! [X0] :
( ~ sQ11_spl
| ~ greater(X0,e_3)
| ~ next(e_3,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f2837,f49]) ).
fof(f3734,plain,
! [X0] :
( ~ sQ11_spl
| ~ greater(X0,e_3)
| ~ next(e_2,e_2)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f2837,f51]) ).
fof(f3735,plain,
! [X0] :
( ~ sQ11_spl
| ~ greater(X0,e_3)
| ~ next(e_2,e_2)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f2837,f48]) ).
fof(f3736,plain,
! [X0] :
( ~ sQ11_spl
| ~ greater(X0,e_3)
| ~ next(e_1,e_2)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f2837,f47]) ).
fof(f3738,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ195_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f3724,f3021,f3677,f132,f136]) ).
fof(f3741,plain,
( ~ sQ11_spl
| ~ sQ131_spl
| ~ sQ0_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f3727,f2956,f97,f685,f132]) ).
fof(f3742,plain,
( ~ sQ11_spl
| ~ sQ131_spl
| ~ sQ0_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f3728,f2960,f97,f685,f132]) ).
fof(f3743,plain,
( ~ sQ11_spl
| ~ sQ131_spl
| ~ sQ0_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f3729,f2964,f97,f685,f132]) ).
fof(f3744,plain,
( ~ sQ11_spl
| ~ sQ131_spl
| ~ sQ0_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f3730,f2968,f97,f685,f132]) ).
fof(f3745,plain,
( ~ sQ11_spl
| ~ sQ187_spl
| ~ sQ4_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f3731,f2960,f110,f3079,f132]) ).
fof(f3746,plain,
( ~ sQ11_spl
| ~ sQ187_spl
| ~ sQ4_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f3732,f2964,f110,f3079,f132]) ).
fof(f3747,plain,
( ~ sQ11_spl
| ~ sQ187_spl
| ~ sQ4_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f3733,f2968,f110,f3079,f132]) ).
fof(f3748,plain,
( ~ sQ11_spl
| ~ sQ194_spl
| ~ sQ8_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f3734,f2964,f123,f3672,f132]) ).
fof(f3749,plain,
( ~ sQ11_spl
| ~ sQ194_spl
| ~ sQ8_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f3735,f2968,f123,f3672,f132]) ).
fof(f3750,plain,
( ~ sQ11_spl
| ~ sQ195_spl
| ~ sQ12_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f3736,f2968,f136,f3677,f132]) ).
fof(f3751,plain,
! [X0,X1] :
( ~ sQ11_spl
| equalish(e_4,X1)
| ~ next(e_3,X1)
| ~ next(X0,e_2)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f2838,f50]) ).
fof(f3752,plain,
! [X0,X1] :
( ~ sQ11_spl
| equalish(e_3,X1)
| ~ next(e_3,X1)
| ~ next(X0,e_2)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f2838,f49]) ).
fof(f3753,plain,
! [X0,X1] :
( ~ sQ11_spl
| equalish(e_2,X1)
| ~ next(e_3,X1)
| ~ next(X0,e_2)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f2838,f48]) ).
fof(f3754,plain,
! [X0,X1] :
( ~ sQ11_spl
| equalish(e_1,X1)
| ~ next(e_3,X1)
| ~ next(X0,e_2)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f2838,f47]) ).
fof(f3755,definition,
! [X0] :
( sQ197_spl
<=> ( ~ next(X0,e_2)
| ~ cycle(X0,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f3756,plain,
! [X0] :
( ~ sQ197_spl
| ~ next(X0,e_2)
| ~ cycle(X0,e_4) ),
inference(component_clause,[status(thm)],[f3755]) ).
fof(f3758,plain,
( ~ sQ11_spl
| sQ151_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f3751,f3755,f1456,f132]) ).
fof(f3759,definition,
! [X0] :
( sQ198_spl
<=> ( ~ next(X0,e_2)
| ~ cycle(X0,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f3760,plain,
! [X0] :
( ~ sQ198_spl
| ~ next(X0,e_2)
| ~ cycle(X0,e_3) ),
inference(component_clause,[status(thm)],[f3759]) ).
fof(f3762,plain,
( ~ sQ11_spl
| sQ153_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f3752,f3759,f1472,f132]) ).
fof(f3763,definition,
! [X0] :
( sQ199_spl
<=> ( ~ next(X0,e_2)
| ~ cycle(X0,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f3764,plain,
! [X0] :
( ~ sQ199_spl
| ~ next(X0,e_2)
| ~ cycle(X0,e_2) ),
inference(component_clause,[status(thm)],[f3763]) ).
fof(f3766,plain,
( ~ sQ11_spl
| sQ155_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f3753,f3763,f1519,f132]) ).
fof(f3767,definition,
! [X0] :
( sQ200_spl
<=> ( ~ next(X0,e_2)
| ~ cycle(X0,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f3768,plain,
! [X0] :
( ~ sQ200_spl
| ~ next(X0,e_2)
| ~ cycle(X0,e_1) ),
inference(component_clause,[status(thm)],[f3767]) ).
fof(f3770,plain,
( ~ sQ11_spl
| sQ169_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f3754,f3767,f2134,f132]) ).
fof(f3771,plain,
( ~ sQ11_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2839,f133]) ).
fof(f3772,plain,
( ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f190,f1156]) ).
fof(f3773,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f190,f1155]) ).
fof(f3774,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f190,f1423]) ).
fof(f3775,plain,
( ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f190,f1154]) ).
fof(f3782,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f3774,f2231]) ).
fof(f3784,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ26_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3774,f90]) ).
fof(f3785,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f3774,f88]) ).
fof(f3786,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f3774,f86]) ).
fof(f3787,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ26_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f3774,f92]) ).
fof(f3788,plain,
( ~ sQ40_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3782,f1635]) ).
fof(f3789,plain,
( ~ sQ40_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3782,f1634]) ).
fof(f3791,plain,
( ~ sQ40_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3782,f1633]) ).
fof(f3792,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f3782,f90]) ).
fof(f3793,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f3782,f88]) ).
fof(f3794,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f3782,f86]) ).
fof(f3795,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f3782,f92]) ).
fof(f3796,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1641]) ).
fof(f3797,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1640]) ).
fof(f3798,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1639]) ).
fof(f3803,plain,
( ~ sQ111_spl
| ~ cycle(e_4,e_4) ),
inference(resolution,[status(thm)],[f564,f50]) ).
fof(f3804,plain,
( ~ sQ111_spl
| ~ cycle(e_4,e_3) ),
inference(resolution,[status(thm)],[f564,f49]) ).
fof(f3805,plain,
( ~ sQ111_spl
| ~ cycle(e_4,e_2) ),
inference(resolution,[status(thm)],[f564,f48]) ).
fof(f3806,plain,
( ~ sQ111_spl
| ~ cycle(e_4,e_1) ),
inference(resolution,[status(thm)],[f564,f47]) ).
fof(f3807,plain,
( ~ sQ80_spl
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f2362,f50]) ).
fof(f3808,plain,
( ~ sQ80_spl
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f2362,f49]) ).
fof(f3809,plain,
( ~ sQ80_spl
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f2362,f48]) ).
fof(f3810,plain,
( ~ sQ80_spl
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f2362,f47]) ).
fof(f3811,plain,
( ~ sQ80_spl
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f2363,f47]) ).
fof(f3812,plain,
( ~ sQ80_spl
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f2364,f47]) ).
fof(f3813,plain,
( ~ sQ80_spl
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f2365,f47]) ).
fof(f3814,plain,
( ~ sQ80_spl
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f2366,f47]) ).
fof(f3815,plain,
( ~ sQ130_spl
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f2636,f53]) ).
fof(f3816,plain,
( ~ sQ130_spl
| ~ cycle(e_3,e_3) ),
inference(resolution,[status(thm)],[f2636,f52]) ).
fof(f3817,plain,
( ~ sQ130_spl
| ~ cycle(e_3,e_2) ),
inference(resolution,[status(thm)],[f2636,f51]) ).
fof(f3818,plain,
( ~ sQ130_spl
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f2637,f53]) ).
fof(f3819,plain,
( ~ sQ130_spl
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f2637,f52]) ).
fof(f3820,plain,
( ~ sQ130_spl
| ~ cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[f2637,f51]) ).
fof(f3821,plain,
( ~ sQ130_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3819,f132,f682]) ).
fof(f3822,plain,
( ~ sQ157_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1778,f45]) ).
fof(f3823,plain,
( ~ sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3822,f83]) ).
fof(f3824,plain,
~ sQ157_spl,
inference(contradiction_clause,[status(thm)],[f3823]) ).
fof(f3825,plain,
( ~ sQ151_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1457,f46]) ).
fof(f3827,plain,
( ~ sQ140_spl
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f753,f50]) ).
fof(f3828,plain,
( ~ sQ140_spl
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f753,f49]) ).
fof(f3829,plain,
( ~ sQ140_spl
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f753,f48]) ).
fof(f3830,plain,
( ~ sQ140_spl
| ~ cycle(e_1,e_1) ),
inference(resolution,[status(thm)],[f753,f47]) ).
fof(f3831,plain,
( ~ sQ153_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1473,f46]) ).
fof(f3832,plain,
( ~ sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3831,f80]) ).
fof(f3833,plain,
~ sQ153_spl,
inference(contradiction_clause,[status(thm)],[f3832]) ).
fof(f3834,plain,
( ~ sQ54_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f3111,f229,f288]) ).
fof(f3835,plain,
( ~ sQ69_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3121,f78]) ).
fof(f3836,plain,
( ~ sQ69_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f3835]) ).
fof(f3845,plain,
! [X0] :
( ~ sQ23_spl
| product(e_4,X0,e_4)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f149,f1266]) ).
fof(f3846,plain,
( ~ sQ23_spl
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f3845,f71]) ).
fof(f3848,plain,
( ~ sQ23_spl
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f3845,f69]) ).
fof(f3849,plain,
( ~ sQ23_spl
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f3845,f68]) ).
fof(f3850,plain,
( ~ sQ23_spl
| sQ19_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f3846,f157,f160,f166,f179]) ).
fof(f3852,plain,
( ~ sQ23_spl
| sQ27_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f3848,f183,f186,f192,f179]) ).
fof(f3853,plain,
( ~ sQ23_spl
| sQ31_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f3849,f196,f199,f205,f179]) ).
fof(f3870,plain,
( ~ sQ62_spl
| ~ sQ54_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1939,f315]) ).
fof(f3871,plain,
! [X0,X1] :
( ~ sQ12_spl
| equalish(e_4,X1)
| ~ next(e_0,X1)
| ~ next(X0,e_1)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f382,f50]) ).
fof(f3872,plain,
! [X0,X1] :
( ~ sQ12_spl
| equalish(e_3,X1)
| ~ next(e_0,X1)
| ~ next(X0,e_1)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f382,f49]) ).
fof(f3873,plain,
! [X0,X1] :
( ~ sQ12_spl
| equalish(e_2,X1)
| ~ next(e_0,X1)
| ~ next(X0,e_1)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f382,f48]) ).
fof(f3874,plain,
! [X0,X1] :
( ~ sQ12_spl
| equalish(e_1,X1)
| ~ next(e_0,X1)
| ~ next(X0,e_1)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f382,f47]) ).
fof(f3875,definition,
! [X0] :
( sQ201_spl
<=> ( ~ next(X0,e_1)
| ~ cycle(X0,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f3876,plain,
! [X0] :
( ~ sQ201_spl
| ~ next(X0,e_1)
| ~ cycle(X0,e_4) ),
inference(component_clause,[status(thm)],[f3875]) ).
fof(f3878,plain,
( ~ sQ12_spl
| sQ121_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f3871,f3875,f623,f136]) ).
fof(f3879,definition,
! [X0] :
( sQ202_spl
<=> ( ~ next(X0,e_1)
| ~ cycle(X0,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f3880,plain,
! [X0] :
( ~ sQ202_spl
| ~ next(X0,e_1)
| ~ cycle(X0,e_3) ),
inference(component_clause,[status(thm)],[f3879]) ).
fof(f3882,plain,
( ~ sQ12_spl
| sQ123_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f3872,f3879,f630,f136]) ).
fof(f3883,definition,
! [X0] :
( sQ203_spl
<=> ( ~ next(X0,e_1)
| ~ cycle(X0,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f3884,plain,
! [X0] :
( ~ sQ203_spl
| ~ next(X0,e_1)
| ~ cycle(X0,e_2) ),
inference(component_clause,[status(thm)],[f3883]) ).
fof(f3886,plain,
( ~ sQ12_spl
| sQ125_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f3873,f3883,f637,f136]) ).
fof(f3887,definition,
! [X0] :
( sQ204_spl
<=> ( ~ next(X0,e_1)
| ~ cycle(X0,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f3888,plain,
! [X0] :
( ~ sQ204_spl
| ~ next(X0,e_1)
| ~ cycle(X0,e_1) ),
inference(component_clause,[status(thm)],[f3887]) ).
fof(f3890,plain,
( ~ sQ12_spl
| sQ127_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f3874,f3887,f644,f136]) ).
fof(f3891,plain,
( ~ sQ45_spl
| ~ sQ62_spl
| ~ sQ54_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3870,f1516]) ).
fof(f3892,plain,
( ~ sQ43_spl
| ~ sQ62_spl
| ~ sQ54_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f3870,f1558]) ).
fof(f3893,plain,
( ~ sQ45_spl
| ~ sQ62_spl
| ~ sQ54_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3870,f1515]) ).
fof(f3894,plain,
! [X0,X1] :
( ~ sQ62_spl
| ~ sQ54_spl
| equalish(e_2,X1)
| ~ next(e_3,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f3870,f67]) ).
fof(f3895,plain,
( ~ sQ62_spl
| ~ sQ54_spl
| ~ greater(e_2,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f3870,f65]) ).
fof(f3896,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3870,f90]) ).
fof(f3897,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ54_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f3870,f88]) ).
fof(f3898,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ54_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f3870,f86]) ).
fof(f3899,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ54_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f3870,f92]) ).
fof(f3900,plain,
( ~ sQ62_spl
| ~ sQ54_spl
| sQ155_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f3894,f744,f1519,f288,f314]) ).
fof(f3901,plain,
( ~ sQ62_spl
| ~ sQ54_spl
| ~ sQ156_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3895,f110,f1523,f288,f314]) ).
fof(f3902,plain,
( ~ sQ62_spl
| ~ sQ43_spl
| ~ sQ54_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f3892,f1789]) ).
fof(f3903,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ62_spl
| ~ sQ54_spl
| equalish(e_3,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f3892,f67]) ).
fof(f3904,plain,
( ~ sQ43_spl
| ~ sQ62_spl
| ~ sQ54_spl
| ~ greater(e_3,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f3892,f65]) ).
fof(f3905,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ62_spl
| ~ sQ54_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f3892,f90]) ).
fof(f3906,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ62_spl
| ~ sQ54_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f3892,f88]) ).
fof(f3907,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ62_spl
| ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f3892,f86]) ).
fof(f3908,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ62_spl
| ~ sQ54_spl
| product(e_3,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f3892,f92]) ).
fof(f3909,plain,
( ~ sQ62_spl
| ~ sQ43_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3902,f82]) ).
fof(f3910,plain,
( ~ sQ62_spl
| ~ sQ43_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f3909]) ).
fof(f3916,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ40_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f3608,f92]) ).
fof(f3917,plain,
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f3459,f1792]) ).
fof(f3921,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3459,f92]) ).
fof(f3928,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f3559,f92]) ).
fof(f3935,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ55_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f3648,f92]) ).
fof(f3936,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f3696,f593]) ).
fof(f3940,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f3696,f92]) ).
fof(f3942,plain,
! [X0,X1] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(e_4,X1)
| ~ next(e_3,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f3607,f67]) ).
fof(f3943,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| ~ greater(e_4,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f3607,f65]) ).
fof(f3944,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3607,f90]) ).
fof(f3945,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f3607,f88]) ).
fof(f3946,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f3607,f86]) ).
fof(f3947,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f3607,f92]) ).
fof(f3948,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| sQ151_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f3942,f744,f1456,f189,f314,f291]) ).
fof(f3949,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| ~ sQ152_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3943,f110,f1460,f189,f314,f291]) ).
fof(f3954,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ26_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f3774,f92]) ).
fof(f3955,plain,
( ~ sQ47_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f3782,f1455]) ).
fof(f3959,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f3782,f92]) ).
fof(f3963,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f3917,f86]) ).
fof(f3967,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3936,f88]) ).
fof(f3971,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f3955,f90]) ).
fof(f3972,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f3955,f88]) ).
fof(f3973,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f3955,f86]) ).
fof(f3978,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3577,f3559]) ).
fof(f3979,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3576,f3559]) ).
fof(f3980,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3575,f3559]) ).
fof(f3981,plain,
( ~ sQ48_spl
| ~ sQ55_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3700,f3648]) ).
fof(f3982,plain,
( ~ sQ48_spl
| ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3699,f3648]) ).
fof(f3985,plain,
( ~ sQ48_spl
| ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3698,f3648]) ).
fof(f3988,plain,
( ~ sQ5_spl
| ~ sQ98_spl
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f497,f114]) ).
fof(f3989,plain,
( ~ sQ12_spl
| ~ sQ106_spl
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f527,f137]) ).
fof(f3990,plain,
( ~ sQ106_spl
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f527,f60]) ).
fof(f3991,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3613,f3459]) ).
fof(f3993,plain,
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3707,f3696]) ).
fof(f3995,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3794,f3782]) ).
fof(f3996,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3786,f3774]) ).
fof(f3997,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3785,f3774]) ).
fof(f3998,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3784,f3774]) ).
fof(f3999,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3793,f3782]) ).
fof(f4000,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3792,f3782]) ).
fof(f4001,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3944,f3607]) ).
fof(f4002,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3945,f3607]) ).
fof(f4003,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3946,f3607]) ).
fof(f4006,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3967,f3936]) ).
fof(f4008,plain,
( ~ sQ47_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3971,f3955]) ).
fof(f4009,plain,
( ~ sQ47_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3972,f3955]) ).
fof(f4012,plain,
( ~ sQ109_spl
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f538,f60]) ).
fof(f4018,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| ~ greater(X0,X2)
| ~ next(e_1,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f392,f47]) ).
fof(f4019,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(e_1,X0)
| ~ next(e_1,X1)
| ~ cycle(X1,e_3)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f392,f56]) ).
fof(f4020,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(e_1,X0)
| ~ next(e_1,X1)
| ~ cycle(X1,e_2)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f392,f55]) ).
fof(f4021,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(e_1,X0)
| ~ next(e_1,X1)
| ~ cycle(X1,e_1)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f392,f53]) ).
fof(f4022,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(e_1,X0)
| ~ next(e_1,X1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f392,f50]) ).
fof(f4023,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(e_1,X0)
| ~ next(e_1,X1)
| ~ cycle(X1,e_2)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f392,f54]) ).
fof(f4024,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(e_1,X0)
| ~ next(e_1,X1)
| ~ cycle(X1,e_1)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f392,f52]) ).
fof(f4025,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(e_1,X0)
| ~ next(e_1,X1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f392,f49]) ).
fof(f4026,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(e_1,X0)
| ~ next(e_1,X1)
| ~ cycle(X1,e_1)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f392,f51]) ).
fof(f4027,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(e_1,X0)
| ~ next(e_1,X1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f392,f48]) ).
fof(f4028,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(e_1,X0)
| ~ next(e_1,X1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f392,f47]) ).
fof(f4034,definition,
! [X0] :
( sQ205_spl
<=> ( ~ greater(e_1,X0)
| ~ cycle(X0,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f4035,plain,
! [X0] :
( ~ sQ205_spl
| ~ greater(e_1,X0)
| ~ cycle(X0,e_4) ),
inference(component_clause,[status(thm)],[f4034]) ).
fof(f4037,plain,
( ~ sQ12_spl
| sQ147_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f4019,f4034,f806,f136]) ).
fof(f4038,plain,
( ~ sQ12_spl
| sQ149_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f4020,f4034,f833,f136]) ).
fof(f4039,plain,
( ~ sQ12_spl
| sQ150_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f4021,f4034,f857,f136]) ).
fof(f4040,plain,
( ~ sQ12_spl
| sQ109_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f4022,f4034,f537,f136]) ).
fof(f4041,definition,
! [X0] :
( sQ206_spl
<=> ( ~ greater(e_1,X0)
| ~ cycle(X0,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f4042,plain,
! [X0] :
( ~ sQ206_spl
| ~ greater(e_1,X0)
| ~ cycle(X0,e_3) ),
inference(component_clause,[status(thm)],[f4041]) ).
fof(f4044,plain,
( ~ sQ12_spl
| sQ149_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f4023,f4041,f833,f136]) ).
fof(f4045,plain,
( ~ sQ12_spl
| sQ150_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f4024,f4041,f857,f136]) ).
fof(f4046,plain,
( ~ sQ12_spl
| sQ109_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f4025,f4041,f537,f136]) ).
fof(f4047,definition,
! [X0] :
( sQ207_spl
<=> ( ~ greater(e_1,X0)
| ~ cycle(X0,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f4048,plain,
! [X0] :
( ~ sQ207_spl
| ~ greater(e_1,X0)
| ~ cycle(X0,e_2) ),
inference(component_clause,[status(thm)],[f4047]) ).
fof(f4050,plain,
( ~ sQ12_spl
| sQ150_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f4026,f4047,f857,f136]) ).
fof(f4051,plain,
( ~ sQ12_spl
| sQ109_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f4027,f4047,f537,f136]) ).
fof(f4052,definition,
! [X0] :
( sQ208_spl
<=> ( ~ greater(e_1,X0)
| ~ cycle(X0,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f4053,plain,
! [X0] :
( ~ sQ208_spl
| ~ greater(e_1,X0)
| ~ cycle(X0,e_1) ),
inference(component_clause,[status(thm)],[f4052]) ).
fof(f4055,plain,
( ~ sQ12_spl
| sQ109_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f4028,f4052,f537,f136]) ).
fof(f4056,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1641]) ).
fof(f4057,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1640]) ).
fof(f4058,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1639]) ).
fof(f4065,plain,
! [X0] :
( ~ sQ12_spl
| ~ greater(X0,e_0)
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f395,f56]) ).
fof(f4066,plain,
! [X0] :
( ~ sQ12_spl
| ~ greater(X0,e_0)
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f395,f55]) ).
fof(f4067,plain,
! [X0] :
( ~ sQ12_spl
| ~ greater(X0,e_0)
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f395,f53]) ).
fof(f4068,plain,
( ~ sQ12_spl
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f395,f50]) ).
fof(f4069,plain,
! [X0] :
( ~ sQ12_spl
| ~ greater(X0,e_0)
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f395,f50]) ).
fof(f4070,plain,
! [X0] :
( ~ sQ12_spl
| ~ greater(X0,e_0)
| ~ next(e_3,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f395,f54]) ).
fof(f4071,plain,
! [X0] :
( ~ sQ12_spl
| ~ greater(X0,e_0)
| ~ next(e_3,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f395,f52]) ).
fof(f4072,plain,
( ~ sQ12_spl
| ~ next(e_3,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f395,f49]) ).
fof(f4073,plain,
! [X0] :
( ~ sQ12_spl
| ~ greater(X0,e_0)
| ~ next(e_3,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f395,f49]) ).
fof(f4074,plain,
! [X0] :
( ~ sQ12_spl
| ~ greater(X0,e_0)
| ~ next(e_2,e_1)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f395,f51]) ).
fof(f4075,plain,
( ~ sQ12_spl
| ~ next(e_2,e_1)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f395,f48]) ).
fof(f4076,plain,
! [X0] :
( ~ sQ12_spl
| ~ greater(X0,e_0)
| ~ next(e_2,e_1)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f395,f48]) ).
fof(f4077,plain,
( ~ sQ12_spl
| ~ next(e_1,e_1)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f395,f47]) ).
fof(f4078,plain,
! [X0] :
( ~ sQ12_spl
| ~ greater(X0,e_0)
| ~ next(e_1,e_1)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f395,f47]) ).
fof(f4079,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(X1,X0)
| ~ next(X1,e_1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f395,f50]) ).
fof(f4080,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(X1,X0)
| ~ next(X1,e_1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f395,f49]) ).
fof(f4081,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(X1,X0)
| ~ next(X1,e_1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f395,f48]) ).
fof(f4082,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ greater(X1,X0)
| ~ next(X1,e_1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f395,f47]) ).
fof(f4085,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f4065,f744,f97,f693,f136]) ).
fof(f4086,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f4066,f748,f97,f693,f136]) ).
fof(f4087,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f4067,f752,f97,f693,f136]) ).
fof(f4088,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f4068,f477,f97,f693,f136]) ).
fof(f4089,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f4069,f757,f97,f693,f136]) ).
fof(f4090,plain,
( ~ sQ12_spl
| ~ sQ188_spl
| ~ sQ4_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f4070,f748,f110,f3083,f136]) ).
fof(f4091,plain,
( ~ sQ12_spl
| ~ sQ188_spl
| ~ sQ4_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f4071,f752,f110,f3083,f136]) ).
fof(f4092,plain,
( ~ sQ12_spl
| ~ sQ188_spl
| ~ sQ4_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f4072,f504,f110,f3083,f136]) ).
fof(f4093,plain,
( ~ sQ12_spl
| ~ sQ188_spl
| ~ sQ4_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f4073,f757,f110,f3083,f136]) ).
fof(f4094,plain,
( ~ sQ12_spl
| ~ sQ196_spl
| ~ sQ8_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f4074,f752,f123,f3687,f136]) ).
fof(f4095,plain,
( ~ sQ12_spl
| ~ sQ196_spl
| ~ sQ8_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f4075,f523,f123,f3687,f136]) ).
fof(f4096,plain,
( ~ sQ12_spl
| ~ sQ196_spl
| ~ sQ8_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f4076,f757,f123,f3687,f136]) ).
fof(f4097,plain,
( ~ sQ81_spl
| ~ sQ12_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f4077,f534,f136,f433]) ).
fof(f4098,plain,
( ~ sQ81_spl
| ~ sQ12_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f4078,f757,f136,f433]) ).
fof(f4099,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f1429]) ).
fof(f4100,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f1428]) ).
fof(f4101,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f1427]) ).
fof(f4106,plain,
( ~ sQ121_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f624,f43]) ).
fof(f4107,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4106,f81]) ).
fof(f4108,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f4107]) ).
fof(f4109,plain,
( ~ sQ11_spl
| ~ sQ145_spl
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f796,f133]) ).
fof(f4110,plain,
( ~ sQ5_spl
| ~ sQ150_spl
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f858,f114]) ).
fof(f4111,plain,
( ~ sQ178_spl
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f2969,f56]) ).
fof(f4112,plain,
( ~ sQ159_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1794,f45]) ).
fof(f4113,plain,
( ~ sQ155_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1520,f46]) ).
fof(f4114,plain,
( ~ sQ155_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4113,f77]) ).
fof(f4115,plain,
~ sQ155_spl,
inference(contradiction_clause,[status(thm)],[f4114]) ).
fof(f4116,plain,
( ~ sQ40_spl
| ~ sQ52_spl
| ~ sQ62_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f1979,f344,f314,f282,f239]) ).
fof(f4118,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f362,f3774]) ).
fof(f4119,plain,
( sQ75_spl
| ~ sQ20_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f4118]) ).
fof(f4120,plain,
( ~ sQ41_spl
| ~ sQ52_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2312,f79]) ).
fof(f4121,plain,
( ~ sQ41_spl
| ~ sQ52_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f4120]) ).
fof(f4122,plain,
( ~ sQ48_spl
| ~ sQ55_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f3648,f341,f291,f269]) ).
fof(f4124,plain,
( ~ sQ57_spl
| ~ sQ59_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f1825,f299]) ).
fof(f4125,plain,
( ~ sQ57_spl
| ~ sQ59_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f4124,f186,f304,f298]) ).
fof(f4129,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3559,f90]) ).
fof(f4130,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f3559,f88]) ).
fof(f4131,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f3559,f86]) ).
fof(f4132,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f3559,f92]) ).
fof(f4139,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ26_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f3774,f92]) ).
fof(f4140,plain,
( ~ sQ35_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f3607,f1658]) ).
fof(f4143,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3607,f90]) ).
fof(f4144,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f3607,f88]) ).
fof(f4145,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f3607,f86]) ).
fof(f4146,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f3607,f92]) ).
fof(f4149,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3577,f3559]) ).
fof(f4150,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3576,f3559]) ).
fof(f4151,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3575,f3559]) ).
fof(f4152,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f3696,f593]) ).
fof(f4156,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f3696,f92]) ).
fof(f4157,plain,
( ~ sQ48_spl
| ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ55_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f3936,f2064]) ).
fof(f4164,plain,
( ~ sQ134_spl
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f703,f56]) ).
fof(f4165,plain,
( ~ sQ134_spl
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f703,f55]) ).
fof(f4166,plain,
( ~ sQ134_spl
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f703,f53]) ).
fof(f4167,plain,
( ~ sQ134_spl
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f703,f50]) ).
fof(f4169,plain,
( ~ sQ132_spl
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f690,f55]) ).
fof(f4173,plain,
! [X0] :
( ~ sQ132_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f690,f55]) ).
fof(f4175,plain,
( ~ sQ11_spl
| ~ sQ146_spl
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f802,f133]) ).
fof(f4180,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f3782,f92]) ).
fof(f4186,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ35_spl
| ~ sQ26_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f4140,f3577]) ).
fof(f4187,plain,
( ~ sQ20_spl
| ~ sQ35_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f4140,f1423]) ).
fof(f4188,plain,
( ~ sQ62_spl
| ~ sQ35_spl
| ~ sQ55_spl
| ~ sQ26_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f4140,f1789]) ).
fof(f4189,plain,
! [X0,X1] :
( ~ sQ35_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(e_3,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f4140,f67]) ).
fof(f4190,plain,
( ~ sQ35_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| ~ greater(e_3,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f4140,f65]) ).
fof(f4191,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f4140,f90]) ).
fof(f4192,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f4140,f88]) ).
fof(f4193,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f4140,f86]) ).
fof(f4194,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| product(e_3,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f4140,f92]) ).
fof(f4195,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ35_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4186,f79]) ).
fof(f4196,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ35_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f4195]) ).
fof(f4205,plain,
( ~ sQ62_spl
| ~ sQ53_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f1946,f315]) ).
fof(f4206,plain,
( ~ sQ26_spl
| ~ sQ51_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f3140,f1157]) ).
fof(f4211,plain,
( ~ sQ62_spl
| ~ sQ53_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f4205,f1791]) ).
fof(f4212,plain,
( ~ sQ59_spl
| ~ sQ62_spl
| ~ sQ53_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f4205,f1825]) ).
fof(f4213,plain,
! [X0,X1] :
( ~ sQ62_spl
| ~ sQ53_spl
| equalish(e_2,X1)
| ~ next(e_2,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f4205,f67]) ).
fof(f4214,plain,
( ~ sQ62_spl
| ~ sQ53_spl
| ~ greater(e_2,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f4205,f65]) ).
fof(f4215,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f4205,f90]) ).
fof(f4216,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ53_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f4205,f88]) ).
fof(f4217,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f4205,f86]) ).
fof(f4218,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ53_spl
| product(e_2,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f4205,f92]) ).
fof(f4219,plain,
( ~ sQ62_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4211,f76]) ).
fof(f4220,plain,
( ~ sQ62_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f4219]) ).
fof(f4234,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ40_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f3608,f92]) ).
fof(f4239,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3459,f92]) ).
fof(f4241,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f3917,f90]) ).
fof(f4242,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f3917,f88]) ).
fof(f4254,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ55_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f4157,f92]) ).
fof(f4261,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f3559,f92]) ).
fof(f4269,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3607,f90]) ).
fof(f4270,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f3607,f88]) ).
fof(f4271,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f3607,f86]) ).
fof(f4272,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f3607,f92]) ).
fof(f4279,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f3696,f92]) ).
fof(f4280,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3786,f3774]) ).
fof(f4281,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3785,f3774]) ).
fof(f4282,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3784,f3774]) ).
fof(f4283,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3794,f3782]) ).
fof(f4284,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3793,f3782]) ).
fof(f4285,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3792,f3782]) ).
fof(f4287,plain,
( ~ sQ47_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3972,f3955]) ).
fof(f4288,plain,
( ~ sQ33_spl
| ~ sQ40_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3463,f3608]) ).
fof(f4289,plain,
( ~ sQ33_spl
| ~ sQ40_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3462,f3608]) ).
fof(f4290,plain,
( ~ sQ33_spl
| ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3461,f3608]) ).
fof(f4291,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f4129,f3559]) ).
fof(f4292,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f4130,f3559]) ).
fof(f4293,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4131,f3559]) ).
fof(f4295,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1454,f3607]) ).
fof(f4296,plain,
( ~ sQ128_spl
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f676,f56]) ).
fof(f4298,plain,
! [X0] :
( ~ sQ128_spl
| ~ greater(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f676,f55]) ).
fof(f4299,plain,
! [X0] :
( ~ sQ128_spl
| ~ greater(X0,e_3)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f676,f53]) ).
fof(f4300,plain,
! [X0] :
( ~ sQ128_spl
| ~ greater(X0,e_3)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f676,f50]) ).
fof(f4301,plain,
! [X0] :
( ~ sQ128_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f676,f56]) ).
fof(f4302,plain,
( ~ sQ135_spl
| ~ cycle(e_3,e_3) ),
inference(resolution,[status(thm)],[f710,f56]) ).
fof(f4303,plain,
( ~ sQ135_spl
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f710,f55]) ).
fof(f4304,plain,
( ~ sQ135_spl
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f710,f53]) ).
fof(f4305,plain,
( ~ sQ135_spl
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f710,f50]) ).
fof(f4306,plain,
( ~ sQ135_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f4303,f132,f709]) ).
fof(f4307,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3615,f3459]) ).
fof(f4308,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3614,f3459]) ).
fof(f4309,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3613,f3459]) ).
fof(f4311,plain,
( ~ sQ48_spl
| ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3699,f4157]) ).
fof(f4314,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3967,f4152]) ).
fof(f4317,plain,
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3707,f3696]) ).
fof(f4320,plain,
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f4241,f3917]) ).
fof(f4322,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| ~ sQ59_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1822,f3774]) ).
fof(f4323,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4322,f72]) ).
fof(f4324,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f4323]) ).
fof(f4341,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ27_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f1119,f3559]) ).
fof(f4342,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ27_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f4341,f205,f192,f314,f291]) ).
fof(f4351,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| ~ sQ59_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1823,f4152]) ).
fof(f4352,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4351,f79]) ).
fof(f4353,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f4352]) ).
fof(f4354,plain,
( ~ sQ136_spl
| ~ cycle(e_3,e_2) ),
inference(resolution,[status(thm)],[f716,f56]) ).
fof(f4355,plain,
( ~ sQ136_spl
| ~ cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[f716,f55]) ).
fof(f4356,plain,
( ~ sQ136_spl
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f716,f53]) ).
fof(f4357,plain,
( ~ sQ136_spl
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f716,f50]) ).
fof(f4358,plain,
( ~ sQ11_spl
| ~ sQ147_spl
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f807,f133]) ).
fof(f4359,plain,
( ~ sQ11_spl
| ~ sQ147_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f4358,f3677,f806,f132]) ).
fof(f4373,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ40_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f3608,f92]) ).
fof(f4378,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ26_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f3774,f92]) ).
fof(f4383,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3459,f92]) ).
fof(f4384,plain,
( ~ sQ33_spl
| ~ sQ40_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3463,f3608]) ).
fof(f4385,plain,
( ~ sQ33_spl
| ~ sQ40_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3462,f3608]) ).
fof(f4395,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f3782,f92]) ).
fof(f4401,plain,
( ~ sQ47_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3607,f1454]) ).
fof(f4403,plain,
( ~ sQ47_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3607,f1453]) ).
fof(f4407,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3607,f90]) ).
fof(f4408,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f3607,f88]) ).
fof(f4409,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f3607,f86]) ).
fof(f4410,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f3607,f92]) ).
fof(f4413,plain,
( ~ sQ33_spl
| ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3461,f3608]) ).
fof(f4414,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3786,f3774]) ).
fof(f4415,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3785,f3774]) ).
fof(f4416,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3784,f3774]) ).
fof(f4417,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3615,f3459]) ).
fof(f4418,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3614,f3459]) ).
fof(f4419,plain,
( ~ sQ137_spl
| ~ cycle(e_3,e_1) ),
inference(resolution,[status(thm)],[f721,f56]) ).
fof(f4420,plain,
( ~ sQ137_spl
| ~ cycle(e_2,e_1) ),
inference(resolution,[status(thm)],[f721,f55]) ).
fof(f4421,plain,
( ~ sQ137_spl
| ~ cycle(e_1,e_1) ),
inference(resolution,[status(thm)],[f721,f53]) ).
fof(f4422,plain,
( ~ sQ137_spl
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f721,f50]) ).
fof(f4423,plain,
( ~ sQ137_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f4419,f113,f720]) ).
fof(f4424,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3613,f3459]) ).
fof(f4425,plain,
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3963,f3917]) ).
fof(f4426,plain,
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f4241,f3917]) ).
fof(f4427,plain,
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f4242,f3917]) ).
fof(f4428,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3794,f3782]) ).
fof(f4429,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3793,f3782]) ).
fof(f4430,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3792,f3782]) ).
fof(f4431,plain,
( ~ sQ47_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3971,f3955]) ).
fof(f4432,plain,
( ~ sQ47_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3972,f3955]) ).
fof(f4434,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1641]) ).
fof(f4435,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1640]) ).
fof(f4436,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1639]) ).
fof(f4441,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f1919]) ).
fof(f4442,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f1918]) ).
fof(f4443,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f1917]) ).
fof(f4448,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f1429]) ).
fof(f4449,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f1428]) ).
fof(f4450,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f1427]) ).
fof(f4455,plain,
( ~ sQ169_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2135,f46]) ).
fof(f4456,plain,
( ~ sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4455,f74]) ).
fof(f4457,plain,
~ sQ169_spl,
inference(contradiction_clause,[status(thm)],[f4456]) ).
fof(f4458,plain,
( ~ sQ163_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2092,f44]) ).
fof(f4459,plain,
( ~ sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4458,f79]) ).
fof(f4460,plain,
~ sQ163_spl,
inference(contradiction_clause,[status(thm)],[f4459]) ).
fof(f4461,plain,
( ~ sQ140_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f3828,f145,f752]) ).
fof(f4463,plain,
( ~ sQ136_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4355,f129,f715]) ).
fof(f4464,plain,
( ~ sQ130_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3820,f129,f682]) ).
fof(f4473,plain,
( ~ sQ68_spl
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f2913,f71]) ).
fof(f4475,plain,
( ~ sQ68_spl
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f2913,f69]) ).
fof(f4476,plain,
( ~ sQ68_spl
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f2913,f68]) ).
fof(f4477,plain,
( ~ sQ68_spl
| sQ67_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f4473,f325,f328,f334,f338]) ).
fof(f4479,plain,
( ~ sQ68_spl
| sQ75_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f4475,f351,f354,f360,f338]) ).
fof(f4480,plain,
( ~ sQ68_spl
| sQ79_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f4476,f364,f367,f373,f338]) ).
fof(f4489,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ72_spl
| product(e_1,X0,e_3)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3220,f2192]) ).
fof(f4490,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ72_spl
| product(e_1,X0,e_4)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f2913,f2192]) ).
fof(f4492,plain,
( ~ sQ64_spl
| ~ sQ72_spl
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f4489,f70]) ).
fof(f4494,plain,
( ~ sQ64_spl
| ~ sQ72_spl
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f4489,f68]) ).
fof(f4496,plain,
( ~ sQ64_spl
| ~ sQ72_spl
| sQ70_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f4492,f338,f344,f351,f325]) ).
fof(f4498,plain,
( ~ sQ64_spl
| ~ sQ72_spl
| sQ78_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f4494,f364,f370,f351,f325]) ).
fof(f4499,plain,
( ~ sQ68_spl
| ~ sQ72_spl
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f4490,f71]) ).
fof(f4502,plain,
( ~ sQ68_spl
| ~ sQ72_spl
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f4490,f68]) ).
fof(f4503,plain,
( ~ sQ68_spl
| ~ sQ72_spl
| sQ67_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f4499,f325,f334,f351,f338]) ).
fof(f4506,plain,
( ~ sQ68_spl
| ~ sQ72_spl
| sQ79_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f4502,f364,f373,f351,f338]) ).
fof(f4513,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f3559,f92]) ).
fof(f4516,plain,
( ~ sQ68_spl
| ~ sQ33_spl
| ~ sQ40_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f3608,f2220]) ).
fof(f4518,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f3608,f90]) ).
fof(f4520,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ40_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f3608,f86]) ).
fof(f4521,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ40_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f3608,f92]) ).
fof(f4522,plain,
( ~ sQ68_spl
| ~ sQ33_spl
| ~ sQ40_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f4516,f325,f239,f216,f338]) ).
fof(f4535,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ26_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f3774,f92]) ).
fof(f4536,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f4129,f3559]) ).
fof(f4537,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f4130,f3559]) ).
fof(f4538,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4131,f3559]) ).
fof(f4539,plain,
( ~ sQ33_spl
| ~ sQ40_spl
| ~ sQ66_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2228,f3608]) ).
fof(f4540,plain,
( ~ sQ33_spl
| ~ sQ40_spl
| ~ sQ66_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2230,f3608]) ).
fof(f4541,plain,
( ~ sQ122_spl
| ~ sQ15_spl
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f146,f628]) ).
fof(f4542,plain,
( ~ sQ85_spl
| ~ sQ15_spl
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f146,f448]) ).
fof(f4543,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ greater(X1,X0)
| ~ next(X1,e_1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f146,f420]) ).
fof(f4544,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f146,f388]) ).
fof(f4545,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ15_spl
| equalish(e_1,X0)
| ~ next(e_3,X0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f146,f931]) ).
fof(f4546,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ next(e_4,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f146,f394]) ).
fof(f4547,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f146,f64]) ).
fof(f4548,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f146,f62]) ).
fof(f4549,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_3)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f146,f58]) ).
fof(f4550,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| sQ169_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f4545,f3083,f2134,f145,f113]) ).
fof(f4551,plain,
( ~ sQ15_spl
| ~ sQ133_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f4546,f675,f693,f145]) ).
fof(f4552,plain,
( ~ sQ96_spl
| ~ sQ10_spl
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f130,f489]) ).
fof(f4554,plain,
( ~ sQ88_spl
| ~ sQ10_spl
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f130,f459]) ).
fof(f4557,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ10_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f130,f931]) ).
fof(f4562,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| sQ171_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f4557,f3079,f2142,f129,f113]) ).
fof(f4564,plain,
( ~ sQ47_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3607,f1454]) ).
fof(f4565,plain,
( ~ sQ33_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f3607,f1745]) ).
fof(f4570,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3607,f90]) ).
fof(f4571,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f3607,f88]) ).
fof(f4572,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f3607,f86]) ).
fof(f4573,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f3607,f92]) ).
fof(f4580,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3459,f92]) ).
fof(f4581,plain,
( ~ sQ33_spl
| ~ sQ40_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3462,f3608]) ).
fof(f4586,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f3782,f92]) ).
fof(f4587,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3786,f3774]) ).
fof(f4588,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3785,f3774]) ).
fof(f4603,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ55_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f4157,f92]) ).
fof(f4613,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f3696,f92]) ).
fof(f4614,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3784,f3774]) ).
fof(f4616,plain,
( ~ sQ48_spl
| ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3699,f4157]) ).
fof(f4619,plain,
( ~ sQ15_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f378,f146]) ).
fof(f4620,plain,
! [X0,X1] :
( ~ sQ15_spl
| equalish(e_4,X1)
| ~ next(e_3,X1)
| ~ next(X0,e_1)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f385,f50]) ).
fof(f4621,plain,
! [X0,X1] :
( ~ sQ15_spl
| equalish(e_3,X1)
| ~ next(e_3,X1)
| ~ next(X0,e_1)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f385,f49]) ).
fof(f4622,plain,
! [X0,X1] :
( ~ sQ15_spl
| equalish(e_2,X1)
| ~ next(e_3,X1)
| ~ next(X0,e_1)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f385,f48]) ).
fof(f4623,plain,
! [X0,X1] :
( ~ sQ15_spl
| equalish(e_1,X1)
| ~ next(e_3,X1)
| ~ next(X0,e_1)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f385,f47]) ).
fof(f4624,plain,
( ~ sQ15_spl
| sQ151_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f4620,f3875,f1456,f145]) ).
fof(f4625,plain,
( ~ sQ15_spl
| sQ153_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f4621,f3879,f1472,f145]) ).
fof(f4626,plain,
( ~ sQ15_spl
| sQ155_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f4622,f3883,f1519,f145]) ).
fof(f4627,plain,
( ~ sQ15_spl
| sQ169_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f4623,f3887,f2134,f145]) ).
fof(f4631,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f4565,f90]) ).
fof(f4632,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f4565,f88]) ).
fof(f4633,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f4565,f86]) ).
fof(f4638,plain,
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f4241,f3917]) ).
fof(f4640,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3615,f3459]) ).
fof(f4641,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3614,f3459]) ).
fof(f4642,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3613,f3459]) ).
fof(f4644,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3967,f4152]) ).
fof(f4645,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3794,f3782]) ).
fof(f4646,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3793,f3782]) ).
fof(f4647,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3792,f3782]) ).
fof(f4648,plain,
( ~ sQ47_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3971,f3955]) ).
fof(f4649,plain,
( ~ sQ47_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3972,f3955]) ).
fof(f4652,plain,
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3707,f3696]) ).
fof(f4654,plain,
( ~ sQ33_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4631,f4565]) ).
fof(f4655,plain,
( ~ sQ33_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f4632,f4565]) ).
fof(f4656,plain,
( ~ sQ33_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f4633,f4565]) ).
fof(f4657,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| ~ sQ79_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2071,f3607]) ).
fof(f4658,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4657,f78]) ).
fof(f4659,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f4658]) ).
fof(f4661,plain,
( ~ sQ15_spl
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f398,f56]) ).
fof(f4662,plain,
! [X0] :
( ~ sQ15_spl
| ~ greater(X0,e_3)
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f398,f56]) ).
fof(f4663,plain,
! [X0] :
( ~ sQ15_spl
| ~ greater(X0,e_3)
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f398,f55]) ).
fof(f4664,plain,
! [X0] :
( ~ sQ15_spl
| ~ greater(X0,e_3)
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f398,f53]) ).
fof(f4665,plain,
! [X0] :
( ~ sQ15_spl
| ~ greater(X0,e_3)
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f398,f50]) ).
fof(f4666,plain,
! [X0] :
( ~ sQ15_spl
| ~ greater(X0,e_3)
| ~ next(e_3,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f398,f54]) ).
fof(f4667,plain,
! [X0] :
( ~ sQ15_spl
| ~ greater(X0,e_3)
| ~ next(e_3,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f398,f52]) ).
fof(f4668,plain,
! [X0] :
( ~ sQ15_spl
| ~ greater(X0,e_3)
| ~ next(e_3,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f398,f49]) ).
fof(f4669,plain,
! [X0] :
( ~ sQ15_spl
| ~ greater(X0,e_3)
| ~ next(e_2,e_1)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f398,f51]) ).
fof(f4670,plain,
! [X0] :
( ~ sQ15_spl
| ~ greater(X0,e_3)
| ~ next(e_2,e_1)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f398,f48]) ).
fof(f4671,plain,
! [X0] :
( ~ sQ15_spl
| ~ greater(X0,e_3)
| ~ next(e_1,e_1)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f398,f47]) ).
fof(f4672,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ greater(X1,X0)
| ~ next(X1,e_1)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f398,f56]) ).
fof(f4674,plain,
( ~ sQ15_spl
| ~ sQ133_spl
| ~ sQ0_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f4661,f444,f97,f693,f145]) ).
fof(f4675,plain,
( ~ sQ15_spl
| ~ sQ133_spl
| ~ sQ0_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f4662,f2956,f97,f693,f145]) ).
fof(f4676,plain,
( ~ sQ15_spl
| ~ sQ133_spl
| ~ sQ0_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f4663,f2960,f97,f693,f145]) ).
fof(f4677,plain,
( ~ sQ15_spl
| ~ sQ133_spl
| ~ sQ0_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f4664,f2964,f97,f693,f145]) ).
fof(f4678,plain,
( ~ sQ15_spl
| ~ sQ133_spl
| ~ sQ0_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f4665,f2968,f97,f693,f145]) ).
fof(f4679,plain,
( ~ sQ15_spl
| ~ sQ188_spl
| ~ sQ4_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f4666,f2960,f110,f3083,f145]) ).
fof(f4680,plain,
( ~ sQ15_spl
| ~ sQ188_spl
| ~ sQ4_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f4667,f2964,f110,f3083,f145]) ).
fof(f4681,plain,
( ~ sQ15_spl
| ~ sQ188_spl
| ~ sQ4_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f4668,f2968,f110,f3083,f145]) ).
fof(f4682,plain,
( ~ sQ15_spl
| ~ sQ196_spl
| ~ sQ8_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f4669,f2964,f123,f3687,f145]) ).
fof(f4683,plain,
( ~ sQ15_spl
| ~ sQ196_spl
| ~ sQ8_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f4670,f2968,f123,f3687,f145]) ).
fof(f4684,plain,
( ~ sQ15_spl
| ~ sQ81_spl
| ~ sQ12_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f4671,f2968,f136,f433,f145]) ).
fof(f4685,plain,
( ~ sQ109_spl
| ~ sQ12_spl
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f137,f538]) ).
fof(f4687,plain,
( ~ sQ94_spl
| ~ sQ12_spl
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f137,f481]) ).
fof(f4727,plain,
( ~ sQ19_spl
| ~ sQ51_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f3140,f1429]) ).
fof(f4731,plain,
! [X0] :
( ~ sQ51_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f3140,f92]) ).
fof(f4732,plain,
( ~ sQ19_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4727,f77]) ).
fof(f4733,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f4732]) ).
fof(f4750,plain,
( ~ sQ47_spl
| ~ sQ26_spl
| ~ sQ51_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f4206,f1453]) ).
fof(f4751,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ51_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f4206,f90]) ).
fof(f4752,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f4206,f88]) ).
fof(f4753,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f4206,f86]) ).
fof(f4754,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ51_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f4206,f92]) ).
fof(f4755,plain,
( ~ sQ47_spl
| ~ sQ26_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4750,f81]) ).
fof(f4756,plain,
( ~ sQ47_spl
| ~ sQ26_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f4755]) ).
fof(f4773,plain,
( ~ sQ51_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3152,f3140]) ).
fof(f4774,plain,
( ~ sQ51_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3153,f3140]) ).
fof(f4775,plain,
( ~ sQ51_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3154,f3140]) ).
fof(f4776,plain,
( ~ sQ51_spl
| ~ sQ27_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f1119,f3140]) ).
fof(f4777,plain,
( ~ sQ51_spl
| ~ sQ27_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f4776,f166,f192,f278]) ).
fof(f4778,plain,
( ~ sQ24_spl
| ~ sQ17_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2472,f334,f160,f183]) ).
fof(f4807,plain,
( ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f262,f1454]) ).
fof(f4808,plain,
( ~ sQ35_spl
| ~ sQ47_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f262,f1656]) ).
fof(f4809,plain,
( ~ sQ35_spl
| ~ sQ47_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f262,f1658]) ).
fof(f4810,plain,
( ~ sQ47_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f262,f1453]) ).
fof(f4818,plain,
( ~ sQ35_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4808,f74]) ).
fof(f4819,plain,
( ~ sQ35_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f4818]) ).
fof(f4822,plain,
( ~ sQ5_spl
| ~ sQ98_spl
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f497,f114]) ).
fof(f4852,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f3559,f92]) ).
fof(f4871,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ40_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f3608,f92]) ).
fof(f4875,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3459,f92]) ).
fof(f4877,plain,
( ~ sQ47_spl
| ~ sQ33_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f1745,f262]) ).
fof(f4878,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1157,f3559]) ).
fof(f4880,plain,
( ~ sQ55_spl
| ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f4152,f1932]) ).
fof(f4890,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ55_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f4157,f92]) ).
fof(f4894,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ26_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3774,f90]) ).
fof(f4895,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f3774,f88]) ).
fof(f4896,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f3774,f86]) ).
fof(f4897,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ26_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f3774,f92]) ).
fof(f4902,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f3782,f92]) ).
fof(f4912,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f3696,f92]) ).
fof(f4913,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f4129,f3559]) ).
fof(f4914,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f4130,f3559]) ).
fof(f4915,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4131,f3559]) ).
fof(f4916,plain,
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3963,f3917]) ).
fof(f4917,plain,
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f4241,f3917]) ).
fof(f4918,plain,
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f4242,f3917]) ).
fof(f4919,plain,
( ~ sQ33_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4631,f4565]) ).
fof(f4920,plain,
( ~ sQ33_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f4632,f4565]) ).
fof(f4925,plain,
( ~ sQ33_spl
| ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f4633,f4565]) ).
fof(f4926,plain,
( ~ sQ33_spl
| ~ sQ40_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3462,f3608]) ).
fof(f4927,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3615,f3459]) ).
fof(f4928,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3614,f3459]) ).
fof(f4929,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3613,f3459]) ).
fof(f4930,plain,
( ~ sQ33_spl
| ~ sQ40_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f4520,f3608]) ).
fof(f4931,plain,
( ~ sQ33_spl
| ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f4518,f3608]) ).
fof(f4932,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3794,f3782]) ).
fof(f4933,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3793,f3782]) ).
fof(f4934,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3792,f3782]) ).
fof(f4935,plain,
( ~ sQ47_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3971,f3955]) ).
fof(f4936,plain,
( ~ sQ47_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3972,f3955]) ).
fof(f4939,plain,
( ~ sQ48_spl
| ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3699,f4157]) ).
fof(f4942,plain,
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3707,f3696]) ).
fof(f4944,plain,
( ~ sQ106_spl
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f527,f60]) ).
fof(f4945,plain,
( ~ sQ10_spl
| ~ sQ96_spl
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f489,f130]) ).
fof(f4946,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ77_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2103,f3559]) ).
fof(f4947,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4946,f81]) ).
fof(f4948,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f4947]) ).
fof(f4949,plain,
( ~ sQ106_spl
| ~ sQ12_spl
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f137,f527]) ).
fof(f4950,plain,
( ~ sQ109_spl
| ~ sQ12_spl
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f137,f538]) ).
fof(f4952,plain,
( ~ sQ94_spl
| ~ sQ12_spl
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f137,f481]) ).
fof(f4988,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ sQ10_spl
| ~ greater(X1,e_2)
| ~ greater(e_1,X0)
| ~ next(e_1,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f547,f137]) ).
fof(f4990,plain,
! [X0] :
( ~ sQ10_spl
| ~ greater(X0,e_2)
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f547,f56]) ).
fof(f4991,plain,
( ~ sQ10_spl
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f547,f55]) ).
fof(f4992,plain,
! [X0] :
( ~ sQ10_spl
| ~ greater(X0,e_2)
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f547,f55]) ).
fof(f4993,plain,
! [X0] :
( ~ sQ10_spl
| ~ greater(X0,e_2)
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f547,f53]) ).
fof(f4994,plain,
! [X0] :
( ~ sQ10_spl
| ~ greater(X0,e_2)
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f547,f50]) ).
fof(f4995,plain,
( ~ sQ10_spl
| ~ next(e_3,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f547,f54]) ).
fof(f4996,plain,
! [X0] :
( ~ sQ10_spl
| ~ greater(X0,e_2)
| ~ next(e_3,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f547,f54]) ).
fof(f4997,plain,
! [X0] :
( ~ sQ10_spl
| ~ greater(X0,e_2)
| ~ next(e_3,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f547,f52]) ).
fof(f4998,plain,
! [X0] :
( ~ sQ10_spl
| ~ greater(X0,e_2)
| ~ next(e_3,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f547,f49]) ).
fof(f4999,plain,
! [X0] :
( ~ sQ10_spl
| ~ greater(X0,e_2)
| ~ next(e_2,e_2)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f547,f51]) ).
fof(f5000,plain,
! [X0] :
( ~ sQ10_spl
| ~ greater(X0,e_2)
| ~ next(e_2,e_2)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f547,f48]) ).
fof(f5001,plain,
! [X0] :
( ~ sQ10_spl
| ~ greater(X0,e_2)
| ~ next(e_1,e_2)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f547,f47]) ).
fof(f5003,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ greater(X1,X0)
| ~ next(X1,e_2)
| ~ cycle(X1,e_0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f547,f54]) ).
fof(f5004,definition,
! [X0,X1] :
( sQ209_spl
<=> ( ~ greater(X1,e_2)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f5005,plain,
! [X0,X1] :
( ~ sQ209_spl
| ~ greater(X1,e_2)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f5004]) ).
fof(f5007,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| ~ sQ195_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f4988,f5004,f3677,f129,f136]) ).
fof(f5009,definition,
! [X0] :
( sQ210_spl
<=> ( ~ greater(X0,e_2)
| ~ cycle(e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f5010,plain,
! [X0] :
( ~ sQ210_spl
| ~ greater(X0,e_2)
| ~ cycle(e_3,X0) ),
inference(component_clause,[status(thm)],[f5009]) ).
fof(f5012,plain,
( ~ sQ10_spl
| ~ sQ131_spl
| ~ sQ0_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f4990,f5009,f97,f685,f129]) ).
fof(f5013,plain,
( ~ sQ10_spl
| ~ sQ131_spl
| ~ sQ0_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f4991,f455,f97,f685,f129]) ).
fof(f5014,definition,
! [X0] :
( sQ211_spl
<=> ( ~ greater(X0,e_2)
| ~ cycle(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f5015,plain,
! [X0] :
( ~ sQ211_spl
| ~ greater(X0,e_2)
| ~ cycle(e_2,X0) ),
inference(component_clause,[status(thm)],[f5014]) ).
fof(f5017,plain,
( ~ sQ10_spl
| ~ sQ131_spl
| ~ sQ0_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f4992,f5014,f97,f685,f129]) ).
fof(f5018,definition,
! [X0] :
( sQ212_spl
<=> ( ~ greater(X0,e_2)
| ~ cycle(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f5019,plain,
! [X0] :
( ~ sQ212_spl
| ~ greater(X0,e_2)
| ~ cycle(e_1,X0) ),
inference(component_clause,[status(thm)],[f5018]) ).
fof(f5021,plain,
( ~ sQ10_spl
| ~ sQ131_spl
| ~ sQ0_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f4993,f5018,f97,f685,f129]) ).
fof(f5022,definition,
! [X0] :
( sQ213_spl
<=> ( ~ greater(X0,e_2)
| ~ cycle(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f5023,plain,
! [X0] :
( ~ sQ213_spl
| ~ greater(X0,e_2)
| ~ cycle(e_0,X0) ),
inference(component_clause,[status(thm)],[f5022]) ).
fof(f5025,plain,
( ~ sQ10_spl
| ~ sQ131_spl
| ~ sQ0_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f4994,f5022,f97,f685,f129]) ).
fof(f5026,plain,
( ~ sQ10_spl
| ~ sQ187_spl
| ~ sQ4_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f4995,f132,f110,f3079,f129]) ).
fof(f5027,plain,
( ~ sQ10_spl
| ~ sQ187_spl
| ~ sQ4_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f4996,f5014,f110,f3079,f129]) ).
fof(f5028,plain,
( ~ sQ10_spl
| ~ sQ187_spl
| ~ sQ4_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f4997,f5018,f110,f3079,f129]) ).
fof(f5029,plain,
( ~ sQ10_spl
| ~ sQ187_spl
| ~ sQ4_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f4998,f5022,f110,f3079,f129]) ).
fof(f5030,plain,
( ~ sQ10_spl
| ~ sQ194_spl
| ~ sQ8_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f4999,f5018,f123,f3672,f129]) ).
fof(f5031,plain,
( ~ sQ10_spl
| ~ sQ194_spl
| ~ sQ8_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f5000,f5022,f123,f3672,f129]) ).
fof(f5032,plain,
( ~ sQ10_spl
| ~ sQ195_spl
| ~ sQ12_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f5001,f5022,f136,f3677,f129]) ).
fof(f5033,plain,
! [X0,X1] :
( ~ sQ10_spl
| equalish(e_4,X1)
| ~ next(e_2,X1)
| ~ next(X0,e_2)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f548,f50]) ).
fof(f5034,plain,
! [X0,X1] :
( ~ sQ10_spl
| equalish(e_3,X1)
| ~ next(e_2,X1)
| ~ next(X0,e_2)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f548,f49]) ).
fof(f5035,plain,
! [X0,X1] :
( ~ sQ10_spl
| equalish(e_2,X1)
| ~ next(e_2,X1)
| ~ next(X0,e_2)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f548,f48]) ).
fof(f5036,plain,
! [X0,X1] :
( ~ sQ10_spl
| equalish(e_1,X1)
| ~ next(e_2,X1)
| ~ next(X0,e_2)
| ~ cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f548,f47]) ).
fof(f5037,plain,
( ~ sQ10_spl
| sQ157_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f5033,f3755,f1777,f129]) ).
fof(f5038,plain,
( ~ sQ10_spl
| sQ159_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f5034,f3759,f1793,f129]) ).
fof(f5039,plain,
( ~ sQ10_spl
| sQ173_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f5035,f3763,f2271,f129]) ).
fof(f5040,plain,
( ~ sQ10_spl
| sQ171_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f5036,f3767,f2142,f129]) ).
fof(f5041,plain,
( ~ sQ10_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f549,f130]) ).
fof(f5042,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ10_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f649,f137]) ).
fof(f5043,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f649,f130]) ).
fof(f5044,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ10_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f649,f114]) ).
fof(f5045,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f649,f60]) ).
fof(f5046,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| sQ125_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f5042,f3687,f637,f129,f136]) ).
fof(f5047,plain,
( ~ sQ10_spl
| sQ173_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f5043,f3672,f2271,f129]) ).
fof(f5048,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| sQ165_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f5044,f2978,f2107,f129,f113]) ).
fof(f5049,plain,
( ~ sQ10_spl
| sQ125_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f5045,f768,f637,f129]) ).
fof(f5050,plain,
( ~ sQ10_spl
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f810,f56]) ).
fof(f5052,plain,
( ~ sQ10_spl
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f810,f53]) ).
fof(f5053,plain,
( ~ sQ10_spl
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f810,f50]) ).
fof(f5054,plain,
( ~ sQ10_spl
| ~ next(e_3,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f810,f54]) ).
fof(f5055,plain,
( ~ sQ10_spl
| ~ next(e_3,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f810,f52]) ).
fof(f5056,plain,
( ~ sQ10_spl
| ~ next(e_3,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f810,f49]) ).
fof(f5057,plain,
( ~ sQ10_spl
| ~ next(e_2,e_2)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f810,f51]) ).
fof(f5058,plain,
( ~ sQ10_spl
| ~ next(e_2,e_2)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f810,f48]) ).
fof(f5059,plain,
( ~ sQ10_spl
| ~ next(e_1,e_2)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f810,f47]) ).
fof(f5060,plain,
( ~ sQ10_spl
| ~ sQ131_spl
| ~ sQ0_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f5050,f444,f97,f685,f129]) ).
fof(f5062,plain,
( ~ sQ10_spl
| ~ sQ131_spl
| ~ sQ0_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f5052,f466,f97,f685,f129]) ).
fof(f5063,plain,
( ~ sQ10_spl
| ~ sQ131_spl
| ~ sQ0_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f5053,f477,f97,f685,f129]) ).
fof(f5064,plain,
( ~ sQ10_spl
| ~ sQ187_spl
| ~ sQ4_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f5054,f455,f110,f3079,f129]) ).
fof(f5065,plain,
( ~ sQ10_spl
| ~ sQ187_spl
| ~ sQ4_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f5055,f466,f110,f3079,f129]) ).
fof(f5066,plain,
( ~ sQ10_spl
| ~ sQ187_spl
| ~ sQ4_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f5056,f477,f110,f3079,f129]) ).
fof(f5067,plain,
( ~ sQ10_spl
| ~ sQ194_spl
| ~ sQ8_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f5057,f466,f123,f3672,f129]) ).
fof(f5068,plain,
( ~ sQ10_spl
| ~ sQ194_spl
| ~ sQ8_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f5058,f477,f123,f3672,f129]) ).
fof(f5069,plain,
( ~ sQ10_spl
| ~ sQ195_spl
| ~ sQ12_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f5059,f477,f136,f3677,f129]) ).
fof(f5070,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1641]) ).
fof(f5071,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1640]) ).
fof(f5072,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1639]) ).
fof(f5077,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f1919]) ).
fof(f5078,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f1918]) ).
fof(f5079,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f1917]) ).
fof(f5084,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f1429]) ).
fof(f5085,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f1428]) ).
fof(f5086,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f1427]) ).
fof(f5091,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f2122]) ).
fof(f5092,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f2121]) ).
fof(f5093,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f2120]) ).
fof(f5102,plain,
( ~ sQ167_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f2127,f44]) ).
fof(f5103,plain,
( ~ sQ167_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5102,f72]) ).
fof(f5104,plain,
~ sQ167_spl,
inference(contradiction_clause,[status(thm)],[f5103]) ).
fof(f5105,plain,
( ~ sQ141_spl
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f758,f50]) ).
fof(f5106,plain,
( ~ sQ141_spl
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f758,f49]) ).
fof(f5107,plain,
( ~ sQ141_spl
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f758,f48]) ).
fof(f5108,plain,
( ~ sQ141_spl
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f758,f47]) ).
fof(f5109,plain,
( ~ sQ10_spl
| ~ sQ149_spl
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f834,f130]) ).
fof(f5110,plain,
( ~ sQ10_spl
| ~ sQ149_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f5109,f3677,f833,f129]) ).
fof(f5111,plain,
( ~ sQ205_spl
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f4035,f47]) ).
fof(f5112,plain,
( ~ sQ10_spl
| ~ sQ184_spl
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f3002,f130]) ).
fof(f5113,plain,
( ~ sQ10_spl
| ~ sQ184_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f5112,f2978,f3001,f129]) ).
fof(f5114,plain,
( ~ sQ10_spl
| ~ sQ148_spl
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f829,f130]) ).
fof(f5115,plain,
( ~ sQ128_spl
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f676,f56]) ).
fof(f5117,plain,
! [X0] :
( ~ sQ128_spl
| ~ greater(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f676,f55]) ).
fof(f5118,plain,
! [X0] :
( ~ sQ128_spl
| ~ greater(X0,e_3)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f676,f53]) ).
fof(f5119,plain,
! [X0] :
( ~ sQ128_spl
| ~ greater(X0,e_3)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f676,f50]) ).
fof(f5120,plain,
! [X0] :
( ~ sQ128_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f676,f56]) ).
fof(f5121,plain,
( ~ sQ134_spl
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f703,f56]) ).
fof(f5122,plain,
( ~ sQ134_spl
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f703,f55]) ).
fof(f5123,plain,
( ~ sQ134_spl
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f703,f53]) ).
fof(f5124,plain,
( ~ sQ134_spl
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f703,f50]) ).
fof(f5126,plain,
( ~ sQ132_spl
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f690,f55]) ).
fof(f5130,plain,
! [X0] :
( ~ sQ132_spl
| ~ greater(e_4,X0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f690,f55]) ).
fof(f5132,plain,
( ~ sQ80_spl
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f431,f47]) ).
fof(f5133,plain,
! [X0] :
( ~ sQ80_spl
| ~ greater(X0,e_0)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f431,f47]) ).
fof(f5134,plain,
! [X0] :
( ~ sQ80_spl
| ~ greater(e_1,X0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f431,f50]) ).
fof(f5135,plain,
! [X0] :
( ~ sQ80_spl
| ~ greater(e_1,X0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f431,f49]) ).
fof(f5138,plain,
( ~ sQ10_spl
| ~ sQ203_spl
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f3884,f130]) ).
fof(f5139,plain,
( ~ sQ173_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2272,f45]) ).
fof(f5140,plain,
( ~ sQ173_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5139,f76]) ).
fof(f5141,plain,
~ sQ173_spl,
inference(contradiction_clause,[status(thm)],[f5140]) ).
fof(f5143,plain,
( ~ sQ178_spl
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f2969,f56]) ).
fof(f5144,plain,
( ~ sQ177_spl
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f2965,f56]) ).
fof(f5145,plain,
( ~ sQ176_spl
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f2961,f56]) ).
fof(f5146,plain,
( ~ sQ128_spl
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f3431,f56]) ).
fof(f5160,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| ~ greater(X0,X2)
| ~ next(e_1,X1)
| ~ cycle(X1,X2)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f392,f47]) ).
fof(f5222,plain,
( ~ sQ193_spl
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f3538,f53]) ).
fof(f5223,plain,
( ~ sQ193_spl
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f3538,f52]) ).
fof(f5224,plain,
( ~ sQ193_spl
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f3538,f51]) ).
fof(f5225,plain,
( ~ sQ132_spl
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f2644,f55]) ).
fof(f5226,plain,
( ~ sQ132_spl
| ~ cycle(e_3,e_3) ),
inference(resolution,[status(thm)],[f2644,f54]) ).
fof(f5227,plain,
( ~ sQ132_spl
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f2646,f55]) ).
fof(f5228,plain,
( ~ sQ132_spl
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f2646,f54]) ).
fof(f5229,plain,
( ~ sQ132_spl
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f2647,f55]) ).
fof(f5230,plain,
( ~ sQ132_spl
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f2647,f54]) ).
fof(f5231,plain,
( ~ sQ132_spl
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f2648,f55]) ).
fof(f5232,plain,
( ~ sQ132_spl
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f2648,f54]) ).
fof(f5233,plain,
( ~ sQ140_spl
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f753,f50]) ).
fof(f5234,plain,
( ~ sQ140_spl
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f753,f49]) ).
fof(f5235,plain,
( ~ sQ140_spl
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f753,f48]) ).
fof(f5236,plain,
( ~ sQ140_spl
| ~ cycle(e_1,e_1) ),
inference(resolution,[status(thm)],[f753,f47]) ).
fof(f5237,plain,
( ~ sQ132_spl
| ~ cycle(e_3,e_3) ),
inference(resolution,[status(thm)],[f2650,f56]) ).
fof(f5238,plain,
( ~ sQ132_spl
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f2650,f55]) ).
fof(f5239,plain,
( ~ sQ132_spl
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f2650,f53]) ).
fof(f5240,plain,
( ~ sQ132_spl
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f2650,f50]) ).
fof(f5241,plain,
( ~ sQ159_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1794,f45]) ).
fof(f5242,plain,
( ~ sQ206_spl
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f4042,f47]) ).
fof(f5243,plain,
( ~ sQ192_spl
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f3534,f53]) ).
fof(f5244,plain,
( ~ sQ192_spl
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f3534,f52]) ).
fof(f5245,plain,
( ~ sQ192_spl
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f3534,f51]) ).
fof(f5246,plain,
( ~ sQ165_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2108,f44]) ).
fof(f5247,plain,
( ~ sQ5_spl
| ~ sQ204_spl
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f3888,f114]) ).
fof(f5248,plain,
( ~ sQ171_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2143,f45]) ).
fof(f5249,plain,
( ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5248,f73]) ).
fof(f5250,plain,
~ sQ171_spl,
inference(contradiction_clause,[status(thm)],[f5249]) ).
fof(f5251,plain,
( ~ sQ161_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2076,f44]) ).
fof(f5252,plain,
( ~ sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5251,f82]) ).
fof(f5253,plain,
~ sQ161_spl,
inference(contradiction_clause,[status(thm)],[f5252]) ).
fof(f5254,plain,
! [X0] :
( ~ sQ186_spl
| ~ greater(X0,e_3)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f3022,f47]) ).
fof(f5255,plain,
! [X0] :
( ~ sQ186_spl
| ~ greater(e_1,X0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f3022,f56]) ).
fof(f5256,plain,
( ~ sQ80_spl
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f2365,f47]) ).
fof(f5257,plain,
( ~ sQ80_spl
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f2366,f47]) ).
fof(f5258,plain,
( ~ sQ5_spl
| ~ sQ185_spl
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f3006,f114]) ).
fof(f5259,plain,
( ~ sQ191_spl
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f3529,f53]) ).
fof(f5260,plain,
( ~ sQ191_spl
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f3529,f52]) ).
fof(f5261,plain,
( ~ sQ191_spl
| ~ cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[f3529,f51]) ).
fof(f5262,plain,
( ~ sQ191_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f5261,f129,f3528]) ).
fof(f5263,plain,
( ~ sQ10_spl
| ~ sQ199_spl
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f3764,f130]) ).
fof(f5264,plain,
( ~ sQ5_spl
| ~ sQ200_spl
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f3768,f114]) ).
fof(f5265,plain,
( ~ sQ190_spl
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f3525,f53]) ).
fof(f5266,plain,
( ~ sQ190_spl
| ~ cycle(e_3,e_3) ),
inference(resolution,[status(thm)],[f3525,f52]) ).
fof(f5267,plain,
( ~ sQ190_spl
| ~ cycle(e_3,e_2) ),
inference(resolution,[status(thm)],[f3525,f51]) ).
fof(f5268,plain,
! [X0] :
( ~ sQ189_spl
| ~ greater(X0,e_1)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f3520,f47]) ).
fof(f5269,plain,
! [X0] :
( ~ sQ189_spl
| ~ greater(e_1,X0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f3520,f53]) ).
fof(f5270,plain,
! [X0] :
( ~ sQ189_spl
| ~ greater(e_1,X0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f3520,f52]) ).
fof(f5271,plain,
! [X0] :
( ~ sQ189_spl
| ~ greater(e_1,X0)
| ~ cycle(X0,e_2) ),
inference(resolution,[status(thm)],[f3520,f51]) ).
fof(f5272,plain,
( ~ sQ12_spl
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f4079,f56]) ).
fof(f5273,plain,
( ~ sQ12_spl
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f4079,f55]) ).
fof(f5274,plain,
( ~ sQ12_spl
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f4079,f53]) ).
fof(f5276,plain,
( ~ sQ12_spl
| ~ next(e_3,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f4079,f54]) ).
fof(f5277,plain,
( ~ sQ12_spl
| ~ next(e_3,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f4079,f52]) ).
fof(f5278,plain,
( ~ sQ12_spl
| ~ next(e_3,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f4079,f49]) ).
fof(f5279,plain,
( ~ sQ12_spl
| ~ next(e_2,e_1)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f4079,f51]) ).
fof(f5280,plain,
( ~ sQ12_spl
| ~ next(e_2,e_1)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f4079,f48]) ).
fof(f5281,plain,
( ~ sQ12_spl
| ~ next(e_1,e_1)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_4) ),
inference(resolution,[status(thm)],[f4079,f47]) ).
fof(f5282,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f5272,f444,f97,f693,f136]) ).
fof(f5283,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f5273,f455,f97,f693,f136]) ).
fof(f5284,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f5274,f466,f97,f693,f136]) ).
fof(f5286,plain,
( ~ sQ12_spl
| ~ sQ188_spl
| ~ sQ4_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f5276,f455,f110,f3083,f136]) ).
fof(f5287,plain,
( ~ sQ12_spl
| ~ sQ188_spl
| ~ sQ4_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f5277,f466,f110,f3083,f136]) ).
fof(f5288,plain,
( ~ sQ12_spl
| ~ sQ188_spl
| ~ sQ4_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f5278,f477,f110,f3083,f136]) ).
fof(f5289,plain,
( ~ sQ12_spl
| ~ sQ196_spl
| ~ sQ8_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f5279,f466,f123,f3687,f136]) ).
fof(f5290,plain,
( ~ sQ12_spl
| ~ sQ196_spl
| ~ sQ8_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f5280,f477,f123,f3687,f136]) ).
fof(f5291,plain,
( ~ sQ81_spl
| ~ sQ12_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f5281,f477,f136,f433]) ).
fof(f5292,plain,
( ~ sQ12_spl
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_3) ),
inference(resolution,[status(thm)],[f4080,f56]) ).
fof(f5293,plain,
( ~ sQ12_spl
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f4080,f55]) ).
fof(f5294,plain,
( ~ sQ12_spl
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f4080,f53]) ).
fof(f5295,plain,
( ~ sQ12_spl
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f4080,f50]) ).
fof(f5296,plain,
( ~ sQ12_spl
| ~ next(e_3,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f4080,f54]) ).
fof(f5297,plain,
( ~ sQ12_spl
| ~ next(e_3,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f4080,f52]) ).
fof(f5299,plain,
( ~ sQ12_spl
| ~ next(e_2,e_1)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f4080,f51]) ).
fof(f5300,plain,
( ~ sQ12_spl
| ~ next(e_2,e_1)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f4080,f48]) ).
fof(f5301,plain,
( ~ sQ12_spl
| ~ next(e_1,e_1)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f4080,f47]) ).
fof(f5302,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f5292,f119,f97,f693,f136]) ).
fof(f5303,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f5293,f132,f97,f693,f136]) ).
fof(f5304,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f5294,f145,f97,f693,f136]) ).
fof(f5305,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f5295,f504,f97,f693,f136]) ).
fof(f5306,plain,
( ~ sQ12_spl
| ~ sQ188_spl
| ~ sQ4_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f5296,f132,f110,f3083,f136]) ).
fof(f5307,plain,
( ~ sQ12_spl
| ~ sQ188_spl
| ~ sQ4_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f5297,f145,f110,f3083,f136]) ).
fof(f5309,plain,
( ~ sQ12_spl
| ~ sQ196_spl
| ~ sQ8_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f5299,f145,f123,f3687,f136]) ).
fof(f5310,plain,
( ~ sQ12_spl
| ~ sQ196_spl
| ~ sQ8_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f5300,f504,f123,f3687,f136]) ).
fof(f5311,plain,
( ~ sQ81_spl
| ~ sQ12_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f5301,f504,f136,f433]) ).
fof(f5312,plain,
( ~ sQ12_spl
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_2) ),
inference(resolution,[status(thm)],[f4081,f56]) ).
fof(f5313,plain,
( ~ sQ12_spl
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[f4081,f55]) ).
fof(f5314,plain,
( ~ sQ12_spl
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f4081,f53]) ).
fof(f5315,plain,
( ~ sQ12_spl
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f4081,f50]) ).
fof(f5316,plain,
( ~ sQ12_spl
| ~ next(e_3,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[f4081,f54]) ).
fof(f5317,plain,
( ~ sQ12_spl
| ~ next(e_3,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f4081,f52]) ).
fof(f5318,plain,
( ~ sQ12_spl
| ~ next(e_3,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f4081,f49]) ).
fof(f5319,plain,
( ~ sQ12_spl
| ~ next(e_2,e_1)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_2) ),
inference(resolution,[status(thm)],[f4081,f51]) ).
fof(f5321,plain,
( ~ sQ12_spl
| ~ next(e_1,e_1)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_2) ),
inference(resolution,[status(thm)],[f4081,f47]) ).
fof(f5322,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f5312,f116,f97,f693,f136]) ).
fof(f5323,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f5313,f129,f97,f693,f136]) ).
fof(f5324,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5314,f142,f97,f693,f136]) ).
fof(f5325,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f5315,f523,f97,f693,f136]) ).
fof(f5326,plain,
( ~ sQ12_spl
| ~ sQ188_spl
| ~ sQ4_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f5316,f129,f110,f3083,f136]) ).
fof(f5327,plain,
( ~ sQ12_spl
| ~ sQ188_spl
| ~ sQ4_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5317,f142,f110,f3083,f136]) ).
fof(f5328,plain,
( ~ sQ12_spl
| ~ sQ188_spl
| ~ sQ4_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f5318,f523,f110,f3083,f136]) ).
fof(f5329,plain,
( ~ sQ12_spl
| ~ sQ196_spl
| ~ sQ8_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5319,f142,f123,f3687,f136]) ).
fof(f5331,plain,
( ~ sQ81_spl
| ~ sQ12_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f5321,f523,f136,f433]) ).
fof(f5332,plain,
( ~ sQ12_spl
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_1) ),
inference(resolution,[status(thm)],[f4082,f56]) ).
fof(f5333,plain,
( ~ sQ12_spl
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_1) ),
inference(resolution,[status(thm)],[f4082,f55]) ).
fof(f5334,plain,
( ~ sQ12_spl
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_1) ),
inference(resolution,[status(thm)],[f4082,f53]) ).
fof(f5335,plain,
( ~ sQ12_spl
| ~ next(e_4,e_1)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f4082,f50]) ).
fof(f5336,plain,
( ~ sQ12_spl
| ~ next(e_3,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_2,e_1) ),
inference(resolution,[status(thm)],[f4082,f54]) ).
fof(f5337,plain,
( ~ sQ12_spl
| ~ next(e_3,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_1) ),
inference(resolution,[status(thm)],[f4082,f52]) ).
fof(f5338,plain,
( ~ sQ12_spl
| ~ next(e_3,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f4082,f49]) ).
fof(f5339,plain,
( ~ sQ12_spl
| ~ next(e_2,e_1)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_1) ),
inference(resolution,[status(thm)],[f4082,f51]) ).
fof(f5340,plain,
( ~ sQ12_spl
| ~ next(e_2,e_1)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_1) ),
inference(resolution,[status(thm)],[f4082,f48]) ).
fof(f5342,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f5332,f113,f97,f693,f136]) ).
fof(f5343,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5333,f126,f97,f693,f136]) ).
fof(f5344,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f5334,f139,f97,f693,f136]) ).
fof(f5345,plain,
( ~ sQ12_spl
| ~ sQ133_spl
| ~ sQ0_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f5335,f534,f97,f693,f136]) ).
fof(f5346,plain,
( ~ sQ12_spl
| ~ sQ188_spl
| ~ sQ4_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5336,f126,f110,f3083,f136]) ).
fof(f5347,plain,
( ~ sQ12_spl
| ~ sQ188_spl
| ~ sQ4_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f5337,f139,f110,f3083,f136]) ).
fof(f5348,plain,
( ~ sQ12_spl
| ~ sQ188_spl
| ~ sQ4_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f5338,f534,f110,f3083,f136]) ).
fof(f5349,plain,
( ~ sQ12_spl
| ~ sQ196_spl
| ~ sQ8_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f5339,f139,f123,f3687,f136]) ).
fof(f5350,plain,
( ~ sQ12_spl
| ~ sQ196_spl
| ~ sQ8_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f5340,f534,f123,f3687,f136]) ).
fof(f5352,plain,
( ~ sQ10_spl
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_3,e_3) ),
inference(resolution,[status(thm)],[f5003,f56]) ).
fof(f5353,plain,
( ~ sQ10_spl
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[f5003,f55]) ).
fof(f5354,plain,
( ~ sQ10_spl
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f5003,f53]) ).
fof(f5355,plain,
( ~ sQ10_spl
| ~ next(e_4,e_2)
| ~ cycle(e_4,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f5003,f50]) ).
fof(f5357,plain,
( ~ sQ10_spl
| ~ next(e_3,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f5003,f52]) ).
fof(f5358,plain,
( ~ sQ10_spl
| ~ next(e_3,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f5003,f49]) ).
fof(f5359,plain,
( ~ sQ10_spl
| ~ next(e_2,e_2)
| ~ cycle(e_2,e_0)
| ~ cycle(e_1,e_3) ),
inference(resolution,[status(thm)],[f5003,f51]) ).
fof(f5360,plain,
( ~ sQ10_spl
| ~ next(e_2,e_2)
| ~ cycle(e_2,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f5003,f48]) ).
fof(f5361,plain,
( ~ sQ10_spl
| ~ next(e_1,e_2)
| ~ cycle(e_1,e_0)
| ~ cycle(e_0,e_3) ),
inference(resolution,[status(thm)],[f5003,f47]) ).
fof(f5362,plain,
( ~ sQ10_spl
| ~ sQ131_spl
| ~ sQ0_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f5352,f119,f97,f685,f129]) ).
fof(f5363,plain,
( ~ sQ10_spl
| ~ sQ131_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f5353,f132,f97,f685,f129]) ).
fof(f5364,plain,
( ~ sQ10_spl
| ~ sQ131_spl
| ~ sQ0_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f5354,f145,f97,f685,f129]) ).
fof(f5365,plain,
( ~ sQ10_spl
| ~ sQ131_spl
| ~ sQ0_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f5355,f504,f97,f685,f129]) ).
fof(f5367,plain,
( ~ sQ10_spl
| ~ sQ187_spl
| ~ sQ4_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f5357,f145,f110,f3079,f129]) ).
fof(f5368,plain,
( ~ sQ10_spl
| ~ sQ187_spl
| ~ sQ4_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f5358,f504,f110,f3079,f129]) ).
fof(f5369,plain,
( ~ sQ10_spl
| ~ sQ194_spl
| ~ sQ8_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f5359,f145,f123,f3672,f129]) ).
fof(f5370,plain,
( ~ sQ10_spl
| ~ sQ194_spl
| ~ sQ8_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f5360,f504,f123,f3672,f129]) ).
fof(f5371,plain,
( ~ sQ10_spl
| ~ sQ195_spl
| ~ sQ12_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f5361,f504,f136,f3677,f129]) ).
fof(f5372,plain,
! [X0] :
( ~ sQ209_spl
| ~ greater(X0,e_2)
| ~ cycle(e_0,X0) ),
inference(resolution,[status(thm)],[f5005,f47]) ).
fof(f5373,plain,
! [X0] :
( ~ sQ209_spl
| ~ greater(e_1,X0)
| ~ cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f5005,f55]) ).
fof(f5374,plain,
! [X0] :
( ~ sQ209_spl
| ~ greater(e_1,X0)
| ~ cycle(X0,e_3) ),
inference(resolution,[status(thm)],[f5005,f54]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ4_spl
| sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| ~ sQ11_spl
| sQ12_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ17_spl
| sQ19_spl
| sQ20_spl
| ~ sQ21_spl
| ~ sQ22_spl
| ~ sQ23_spl
| ~ sQ24_spl
| ~ sQ25_spl
| sQ26_spl
| ~ sQ27_spl
| ~ sQ28_spl
| sQ29_spl
| ~ sQ31_spl
| ~ sQ32_spl
| sQ33_spl
| ~ sQ34_spl
| ~ sQ35_spl
| sQ38_spl
| ~ sQ39_spl
| sQ40_spl
| ~ sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| sQ47_spl
| sQ48_spl
| ~ sQ49_spl
| ~ sQ50_spl
| ~ sQ51_spl
| ~ sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| sQ55_spl
| sQ57_spl
| ~ sQ58_spl
| ~ sQ59_spl
| ~ sQ60_spl
| ~ sQ61_spl
| sQ62_spl
| ~ sQ63_spl
| ~ sQ64_spl
| ~ sQ65_spl
| sQ66_spl
| ~ sQ68_spl
| sQ69_spl
| ~ sQ70_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| ~ sQ74_spl
| sQ75_spl
| sQ76_spl
| ~ sQ77_spl
| ~ sQ78_spl
| ~ sQ79_spl
| sQ80_spl
| ~ sQ81_spl
| ~ sQ82_spl
| ~ sQ83_spl
| ~ sQ84_spl
| sQ85_spl
| sQ86_spl
| ~ sQ87_spl
| sQ88_spl
| sQ89_spl
| ~ sQ90_spl
| sQ91_spl
| sQ92_spl
| ~ sQ93_spl
| sQ94_spl
| sQ95_spl
| sQ96_spl
| ~ sQ97_spl
| sQ98_spl
| ~ sQ99_spl
| ~ sQ100_spl
| ~ sQ101_spl
| ~ sQ102_spl
| ~ sQ103_spl
| ~ sQ104_spl
| ~ sQ105_spl
| sQ106_spl
| ~ sQ107_spl
| ~ sQ108_spl
| sQ109_spl
| sQ110_spl
| sQ111_spl
| sQ112_spl
| ~ sQ113_spl
| sQ114_spl
| ~ sQ115_spl
| sQ116_spl
| ~ sQ117_spl
| sQ118_spl
| ~ sQ119_spl
| sQ120_spl
| ~ sQ121_spl
| sQ122_spl
| ~ sQ123_spl
| sQ124_spl
| ~ sQ125_spl
| ~ sQ126_spl
| sQ127_spl
| sQ128_spl
| ~ sQ129_spl
| ~ sQ130_spl
| ~ sQ131_spl
| sQ132_spl
| ~ sQ133_spl
| sQ134_spl
| ~ sQ136_spl
| ~ sQ137_spl
| ~ sQ138_spl
| ~ sQ139_spl
| sQ140_spl
| sQ141_spl
| sQ142_spl
| ~ sQ143_spl
| ~ sQ144_spl
| sQ145_spl
| sQ146_spl
| sQ148_spl
| ~ sQ149_spl
| sQ150_spl
| sQ151_spl
| sQ152_spl
| ~ sQ153_spl
| ~ sQ154_spl
| ~ sQ155_spl
| ~ sQ156_spl
| ~ sQ157_spl
| sQ158_spl
| sQ159_spl
| sQ160_spl
| ~ sQ161_spl
| sQ162_spl
| ~ sQ163_spl
| sQ164_spl
| sQ165_spl
| sQ166_spl
| ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ169_spl
| ~ sQ170_spl
| ~ sQ171_spl
| ~ sQ172_spl
| ~ sQ173_spl
| ~ sQ174_spl
| sQ175_spl
| sQ176_spl
| sQ177_spl
| sQ178_spl
| ~ sQ179_spl
| sQ180_spl
| ~ sQ181_spl
| sQ182_spl
| sQ183_spl
| ~ sQ184_spl
| sQ185_spl
| sQ186_spl
| ~ sQ187_spl
| ~ sQ188_spl
| sQ189_spl
| sQ190_spl
| ~ sQ191_spl
| sQ192_spl
| sQ193_spl
| ~ 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 ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP130-3.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 % Computer : n014.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.43 % DateTime : Sun Sep 20 20:01:05 UTC 2026
% 0.19/0.43 % CPUTime :
% 0.19/0.44 % Drodi V4.1.1
% 9.80/1.75 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 9.80/1.75 % SZS output start Saturation for theBenchmark
% See solution above
% 1.23/1.84 % Elapsed time: 1.385716 seconds
% 1.23/1.84 % CPU time: 10.086459 seconds
% 1.23/1.84 % Total memory used: 31.735 MB
% 1.23/1.84 % Net memory used: 30.348 MB
%------------------------------------------------------------------------------