%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP128-3.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:35:54 PM UTC 2026
% Result : Satisfiable 5.65s 6.18s
% Output : Saturation 5.65s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
next(e_0,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
greater(e_1,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
greater(e_4,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y,Z] :
( equalish(Y,Z)
| ~ cycle(X,Z)
| ~ cycle(X,Y) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
cycle(e_4,e_0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X,Y] :
( ~ greater(Y,X)
| ~ product(X,e_1,Y)
| ~ cycle(X,e_0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
! [X,Y,Z1,Z2] :
( product(X,Z1,Z2)
| ~ product(Z1,Y,Z2)
| ~ product(X,Y,Z1) ),
file('/export/starexec/sandbox2/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,Z1,Z2] :
( product(X,Z1,Z2)
| ! [Y] :
( ~ product(Z1,Y,Z2)
| ~ product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( product(X0,X2,X3)
| ~ product(X2,X1,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(f102,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(f105,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(f108,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(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(f204,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(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] :
( ~ 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(f388,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(f389,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(f390,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(f391,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(f392,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(f393,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(f394,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(f395,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(f396,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(f397,plain,
! [X0,X1] :
( ~ sQ80_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,definition,
( sQ81_spl
<=> next(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( sQ81_spl
| ~ next(e_1,e_1) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,plain,
( ~ sQ12_spl
| ~ sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f387,f396,f399,f136]) ).
fof(f403,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(f404,plain,
! [X0,X1] :
( ~ sQ82_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,definition,
( sQ83_spl
<=> next(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( sQ83_spl
| ~ next(e_4,e_4) ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( ~ sQ83_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f389,f403,f406]) ).
fof(f410,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(f411,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(f412,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f133,f58]) ).
fof(f414,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(f415,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_2)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f130,f58]) ).
fof(f416,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(f417,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(f418,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_1)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f127,f58]) ).
fof(f419,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(e_2,X0)
| ~ next(e_2,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f64]) ).
fof(f420,plain,
! [X0,X1,X2,X3] :
( ~ sQ8_spl
| ~ greater(X1,X3)
| ~ greater(e_2,X0)
| ~ next(e_2,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f64]) ).
fof(f422,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f64]) ).
fof(f423,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f62]) ).
fof(f424,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f124,f58]) ).
fof(f425,definition,
! [X0,X1] :
( sQ84_spl
<=> ( ~ greater(X1,e_0)
| ~ greater(e_2,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f426,plain,
! [X0,X1] :
( ~ sQ84_spl
| ~ greater(X1,e_0)
| ~ greater(e_2,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,definition,
( sQ85_spl
<=> next(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( sQ85_spl
| ~ next(e_2,e_2) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( ~ sQ8_spl
| ~ sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f419,f425,f428,f123]) ).
fof(f433,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(f434,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(f435,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f120,f58]) ).
fof(f436,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(f437,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(f438,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f117,f58]) ).
fof(f439,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(f440,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(f441,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_1)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f114,f58]) ).
fof(f442,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ next(e_3,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f111,f64]) ).
fof(f443,plain,
! [X0,X1,X2,X3] :
( ~ sQ4_spl
| ~ greater(X1,X3)
| ~ greater(e_3,X0)
| ~ next(e_3,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f111,f64]) ).
fof(f445,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f111,f64]) ).
fof(f446,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f111,f62]) ).
fof(f447,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f111,f58]) ).
fof(f448,definition,
! [X0,X1] :
( sQ86_spl
<=> ( ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f449,plain,
! [X0,X1] :
( ~ sQ86_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,definition,
( sQ87_spl
<=> next(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( sQ87_spl
| ~ next(e_3,e_3) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( ~ sQ4_spl
| ~ sQ87_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f442,f448,f451,f110]) ).
fof(f456,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(f457,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(f458,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_3)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f107,f58]) ).
fof(f459,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(f460,plain,
( ~ sQ31_spl
| ~ greater(e_4,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f206,f65]) ).
fof(f461,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f206,f90]) ).
fof(f462,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f206,f88]) ).
fof(f463,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f206,f86]) ).
fof(f464,plain,
! [X0] :
( ~ sQ31_spl
| product(X0,e_4,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f206,f92]) ).
fof(f465,definition,
! [X0] :
( sQ88_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f466,plain,
! [X0] :
( ~ sQ88_spl
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,definition,
! [X1] :
( sQ89_spl
<=> ( equalish(e_4,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f469,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_4,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,plain,
( ~ sQ31_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f459,f465,f468,f205]) ).
fof(f472,definition,
( sQ90_spl
<=> greater(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( sQ90_spl
| ~ greater(e_4,e_4) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( ~ sQ31_spl
| ~ sQ90_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f460,f97,f472,f205]) ).
fof(f476,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(f477,plain,
( ~ sQ30_spl
| ~ greater(e_3,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f203,f65]) ).
fof(f478,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f203,f90]) ).
fof(f479,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f203,f88]) ).
fof(f480,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f203,f86]) ).
fof(f481,plain,
! [X0] :
( ~ sQ30_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f203,f92]) ).
fof(f482,definition,
! [X1] :
( sQ91_spl
<=> ( equalish(e_3,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f483,plain,
! [X0] :
( ~ sQ91_spl
| equalish(e_3,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,plain,
( ~ sQ30_spl
| sQ91_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f476,f465,f482,f202]) ).
fof(f486,definition,
( sQ92_spl
<=> greater(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( sQ92_spl
| ~ greater(e_3,e_4) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( ~ sQ30_spl
| ~ sQ92_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f477,f97,f486,f202]) ).
fof(f490,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(f491,plain,
( ~ sQ29_spl
| ~ greater(e_2,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f200,f65]) ).
fof(f492,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f200,f90]) ).
fof(f493,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f200,f88]) ).
fof(f494,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f200,f86]) ).
fof(f495,plain,
! [X0] :
( ~ sQ29_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f200,f92]) ).
fof(f496,definition,
! [X1] :
( sQ93_spl
<=> ( equalish(e_2,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f497,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,plain,
( ~ sQ29_spl
| sQ93_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f490,f465,f496,f199]) ).
fof(f500,definition,
( sQ94_spl
<=> greater(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( sQ94_spl
| ~ greater(e_2,e_4) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( ~ sQ29_spl
| ~ sQ94_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f491,f97,f500,f199]) ).
fof(f504,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(f505,plain,
( ~ sQ28_spl
| ~ greater(e_1,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f197,f65]) ).
fof(f506,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f197,f90]) ).
fof(f507,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f197,f88]) ).
fof(f508,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f197,f86]) ).
fof(f509,plain,
! [X0] :
( ~ sQ28_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f197,f92]) ).
fof(f510,definition,
! [X1] :
( sQ95_spl
<=> ( equalish(e_1,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f511,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,plain,
( ~ sQ28_spl
| sQ95_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f504,f465,f510,f196]) ).
fof(f514,definition,
( sQ96_spl
<=> greater(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( sQ96_spl
| ~ greater(e_1,e_4) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,plain,
( ~ sQ28_spl
| ~ sQ96_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f505,f97,f514,f196]) ).
fof(f518,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f99,f60]) ).
fof(f519,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f518]) ).
fof(f520,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(f521,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(f522,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_2)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f104,f58]) ).
fof(f523,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(f524,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(f525,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_1)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f101,f58]) ).
fof(f526,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f193,f90]) ).
fof(f527,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f193,f88]) ).
fof(f528,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f193,f86]) ).
fof(f529,plain,
! [X0] :
( ~ sQ27_spl
| product(X0,e_4,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f193,f92]) ).
fof(f530,plain,
( ~ sQ27_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f529,f193]) ).
fof(f531,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f530,f90]) ).
fof(f532,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f530,f88]) ).
fof(f533,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f530,f86]) ).
fof(f535,plain,
( ~ sQ27_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f531,f530]) ).
fof(f536,plain,
( ~ sQ27_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f532,f530]) ).
fof(f537,plain,
( ~ sQ27_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f532,f193]) ).
fof(f538,plain,
( ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f537,f77]) ).
fof(f539,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f538]) ).
fof(f540,plain,
( ~ sQ1_spl
| equalish(e_1,e_0) ),
inference(resolution,[status(thm)],[f377,f101]) ).
fof(f541,plain,
( ~ sQ2_spl
| equalish(e_2,e_0) ),
inference(resolution,[status(thm)],[f377,f104]) ).
fof(f542,plain,
( ~ sQ3_spl
| equalish(e_3,e_0) ),
inference(resolution,[status(thm)],[f377,f107]) ).
fof(f543,plain,
equalish(e_0,e_0),
inference(resolution,[status(thm)],[f377,f60]) ).
fof(f544,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f386,f114]) ).
fof(f545,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f386,f117]) ).
fof(f546,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f386,f120]) ).
fof(f547,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f386,f127]) ).
fof(f548,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f386,f130]) ).
fof(f549,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f386,f133]) ).
fof(f550,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f386,f140]) ).
fof(f551,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f386,f143]) ).
fof(f552,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f386,f146]) ).
fof(f553,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f386,f101]) ).
fof(f554,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f386,f104]) ).
fof(f555,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f386,f107]) ).
fof(f556,plain,
! [X0] :
( equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f386,f60]) ).
fof(f557,definition,
( sQ97_spl
<=> next(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( sQ97_spl
| ~ next(e_3,e_4) ),
inference(component_clause,[status(thm)],[f557]) ).
fof(f560,definition,
( sQ98_spl
<=> greater(e_1,e_0) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( sQ98_spl
| ~ greater(e_1,e_0) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,definition,
! [X0] :
( sQ99_spl
<=> ( equalish(e_1,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f564,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f566,plain,
( ~ sQ5_spl
| sQ99_spl
| ~ sQ98_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f544,f557,f560,f563,f113]) ).
fof(f567,definition,
( sQ100_spl
<=> greater(e_2,e_0) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( sQ100_spl
| ~ greater(e_2,e_0) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,definition,
! [X0] :
( sQ101_spl
<=> ( equalish(e_2,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f571,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_2,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f573,plain,
( ~ sQ6_spl
| sQ101_spl
| ~ sQ100_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f545,f557,f567,f570,f116]) ).
fof(f574,definition,
( sQ102_spl
<=> greater(e_3,e_0) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( sQ102_spl
| ~ greater(e_3,e_0) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,definition,
! [X0] :
( sQ103_spl
<=> ( equalish(e_3,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f578,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_3,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,plain,
( ~ sQ7_spl
| sQ103_spl
| ~ sQ102_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f546,f557,f574,f577,f119]) ).
fof(f581,definition,
( sQ104_spl
<=> next(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f583,plain,
( sQ104_spl
| ~ next(e_2,e_4) ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( ~ sQ9_spl
| sQ99_spl
| ~ sQ98_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f547,f581,f560,f563,f126]) ).
fof(f585,plain,
( ~ sQ10_spl
| sQ101_spl
| ~ sQ100_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f548,f581,f567,f570,f129]) ).
fof(f586,plain,
( ~ sQ11_spl
| sQ103_spl
| ~ sQ102_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f549,f581,f574,f577,f132]) ).
fof(f587,definition,
( sQ105_spl
<=> next(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( sQ105_spl
| ~ next(e_1,e_4) ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,plain,
( ~ sQ13_spl
| sQ99_spl
| ~ sQ98_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f550,f587,f560,f563,f139]) ).
fof(f591,plain,
( ~ sQ14_spl
| sQ101_spl
| ~ sQ100_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f551,f587,f567,f570,f142]) ).
fof(f592,plain,
( ~ sQ15_spl
| sQ103_spl
| ~ sQ102_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f552,f587,f574,f577,f145]) ).
fof(f593,plain,
( ~ sQ1_spl
| sQ99_spl
| ~ sQ98_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f553,f406,f560,f563,f100]) ).
fof(f594,plain,
( ~ sQ2_spl
| sQ101_spl
| ~ sQ100_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f554,f406,f567,f570,f103]) ).
fof(f595,plain,
( ~ sQ3_spl
| sQ103_spl
| ~ sQ102_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f555,f406,f574,f577,f106]) ).
fof(f596,definition,
( sQ106_spl
<=> greater(e_0,e_0) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( sQ106_spl
| ~ greater(e_0,e_0) ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,definition,
! [X0] :
( sQ107_spl
<=> ( equalish(e_0,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f600,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_0,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,plain,
( sQ107_spl
| ~ sQ106_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f556,f406,f596,f599]) ).
fof(f603,plain,
( sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f576,f49]) ).
fof(f604,plain,
sQ102_spl,
inference(contradiction_clause,[status(thm)],[f603]) ).
fof(f605,plain,
( sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f569,f48]) ).
fof(f606,plain,
sQ100_spl,
inference(contradiction_clause,[status(thm)],[f605]) ).
fof(f607,plain,
( sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f562,f47]) ).
fof(f608,plain,
sQ98_spl,
inference(contradiction_clause,[status(thm)],[f607]) ).
fof(f609,plain,
( sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f559,f46]) ).
fof(f610,plain,
sQ97_spl,
inference(contradiction_clause,[status(thm)],[f609]) ).
fof(f611,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)],[f390,f120]) ).
fof(f612,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)],[f390,f127]) ).
fof(f613,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)],[f390,f130]) ).
fof(f614,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)],[f390,f133]) ).
fof(f615,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)],[f390,f140]) ).
fof(f616,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)],[f390,f143]) ).
fof(f617,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)],[f390,f146]) ).
fof(f618,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)],[f390,f101]) ).
fof(f619,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)],[f390,f104]) ).
fof(f620,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)],[f390,f107]) ).
fof(f622,definition,
! [X0,X1] :
( sQ108_spl
<=> ( ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f623,plain,
! [X0,X1] :
( ~ sQ108_spl
| ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f622]) ).
fof(f625,definition,
( sQ109_spl
<=> next(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f627,plain,
( sQ109_spl
| ~ next(e_4,e_3) ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,plain,
( ~ sQ7_spl
| ~ sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f611,f622,f625,f119]) ).
fof(f629,definition,
! [X0,X1] :
( sQ110_spl
<=> ( ~ greater(X1,e_1)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f630,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ greater(X1,e_1)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,definition,
( sQ111_spl
<=> next(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( sQ111_spl
| ~ next(e_4,e_2) ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f635,plain,
( ~ sQ9_spl
| ~ sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f612,f629,f632,f126]) ).
fof(f636,definition,
! [X0,X1] :
( sQ112_spl
<=> ( ~ greater(X1,e_2)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f637,plain,
! [X0,X1] :
( ~ sQ112_spl
| ~ greater(X1,e_2)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,plain,
( ~ sQ10_spl
| ~ sQ111_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f613,f636,f632,f129]) ).
fof(f640,plain,
( ~ sQ11_spl
| ~ sQ111_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f614,f622,f632,f132]) ).
fof(f641,definition,
( sQ113_spl
<=> next(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f643,plain,
( sQ113_spl
| ~ next(e_4,e_1) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,plain,
( ~ sQ13_spl
| ~ sQ113_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f615,f629,f641,f139]) ).
fof(f645,plain,
( ~ sQ14_spl
| ~ sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f616,f636,f641,f142]) ).
fof(f646,plain,
( ~ sQ15_spl
| ~ sQ113_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f617,f622,f641,f145]) ).
fof(f647,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f618,f629,f406,f100]) ).
fof(f648,plain,
( ~ sQ2_spl
| ~ sQ83_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f619,f636,f406,f103]) ).
fof(f649,plain,
( ~ sQ3_spl
| ~ sQ83_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f620,f622,f406,f106]) ).
fof(f653,plain,
( ~ sQ9_spl
| ~ sQ82_spl
| ~ greater(e_1,e_0)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f404,f127]) ).
fof(f654,plain,
( ~ sQ13_spl
| ~ sQ82_spl
| ~ greater(e_1,e_0)
| ~ greater(e_4,e_1) ),
inference(resolution,[status(thm)],[f404,f140]) ).
fof(f655,plain,
( ~ sQ82_spl
| ~ greater(e_0,e_0)
| ~ greater(e_4,e_4) ),
inference(resolution,[status(thm)],[f404,f60]) ).
fof(f656,definition,
( sQ114_spl
<=> greater(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f658,plain,
( sQ114_spl
| ~ greater(e_4,e_2) ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,plain,
( ~ sQ9_spl
| ~ sQ82_spl
| ~ sQ98_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f653,f656,f560,f403,f126]) ).
fof(f660,definition,
( sQ115_spl
<=> greater(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f662,plain,
( sQ115_spl
| ~ greater(e_4,e_1) ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f663,plain,
( ~ sQ13_spl
| ~ sQ82_spl
| ~ sQ98_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f654,f660,f560,f403,f139]) ).
fof(f664,plain,
( ~ sQ82_spl
| ~ sQ106_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f655,f472,f596,f403]) ).
fof(f665,plain,
( sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f662,f53]) ).
fof(f666,plain,
sQ115_spl,
inference(contradiction_clause,[status(thm)],[f665]) ).
fof(f667,plain,
( sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f658,f55]) ).
fof(f668,plain,
sQ114_spl,
inference(contradiction_clause,[status(thm)],[f667]) ).
fof(f669,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,f390]) ).
fof(f671,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(f672,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(f673,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f117,f58]) ).
fof(f674,plain,
( ~ sQ6_spl
| ~ sQ109_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f669,f636,f625,f116]) ).
fof(f685,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(f686,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(f690,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ next(e_3,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f111,f395]) ).
fof(f693,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ next(e_4,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f111,f390]) ).
fof(f694,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f111,f386]) ).
fof(f699,plain,
( ~ sQ4_spl
| ~ sQ97_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f690,f448,f557,f110]) ).
fof(f701,plain,
( ~ sQ4_spl
| ~ sQ109_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f693,f403,f625,f110]) ).
fof(f702,plain,
( ~ sQ4_spl
| sQ107_spl
| ~ sQ106_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f694,f557,f596,f599,f110]) ).
fof(f706,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(f707,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(f708,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f120,f58]) ).
fof(f711,plain,
( ~ sQ30_spl
| ~ sQ26_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f190,f479]) ).
fof(f712,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f190,f90]) ).
fof(f713,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f190,f88]) ).
fof(f714,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f190,f86]) ).
fof(f715,plain,
! [X0] :
( ~ sQ26_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f190,f92]) ).
fof(f716,plain,
( ~ sQ30_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f711,f75]) ).
fof(f717,plain,
( ~ sQ30_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f716]) ).
fof(f718,plain,
( ~ sQ29_spl
| ~ sQ25_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f187,f493]) ).
fof(f719,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f187,f90]) ).
fof(f720,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f187,f88]) ).
fof(f721,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f187,f86]) ).
fof(f722,plain,
! [X0] :
( ~ sQ25_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f187,f92]) ).
fof(f723,plain,
( ~ sQ29_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f718,f75]) ).
fof(f724,plain,
( ~ sQ29_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f723]) ).
fof(f725,plain,
( ~ sQ28_spl
| ~ sQ24_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f184,f507]) ).
fof(f726,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f184,f90]) ).
fof(f727,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f184,f88]) ).
fof(f728,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f184,f86]) ).
fof(f729,plain,
! [X0] :
( ~ sQ24_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f184,f92]) ).
fof(f730,plain,
( ~ sQ28_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f725,f75]) ).
fof(f731,plain,
( ~ sQ28_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f730]) ).
fof(f732,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f180,f90]) ).
fof(f733,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f180,f88]) ).
fof(f734,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f180,f86]) ).
fof(f735,plain,
! [X0] :
( ~ sQ23_spl
| product(X0,e_4,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f180,f92]) ).
fof(f736,plain,
( ~ sQ23_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f735,f180]) ).
fof(f737,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f736,f90]) ).
fof(f738,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f736,f88]) ).
fof(f739,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f736,f86]) ).
fof(f741,plain,
( ~ sQ23_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f737,f736]) ).
fof(f743,plain,
( ~ sQ23_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f738,f180]) ).
fof(f744,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f743,f80]) ).
fof(f745,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f744]) ).
fof(f746,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f177,f90]) ).
fof(f747,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f177,f88]) ).
fof(f748,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f177,f86]) ).
fof(f749,plain,
! [X0] :
( ~ sQ22_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f177,f92]) ).
fof(f750,plain,
( ~ sQ22_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f746,f177]) ).
fof(f751,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f747,f177]) ).
fof(f753,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f174,f748]) ).
fof(f754,plain,
( ~ sQ25_spl
| ~ sQ21_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f174,f720]) ).
fof(f755,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f174,f90]) ).
fof(f756,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f174,f88]) ).
fof(f757,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f174,f86]) ).
fof(f758,plain,
! [X0] :
( ~ sQ21_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f174,f92]) ).
fof(f759,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f753,f76]) ).
fof(f760,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f759]) ).
fof(f761,plain,
( ~ sQ28_spl
| ~ sQ20_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f171,f507]) ).
fof(f762,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f171,f90]) ).
fof(f763,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f171,f88]) ).
fof(f764,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f171,f86]) ).
fof(f765,plain,
! [X0] :
( ~ sQ20_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f171,f92]) ).
fof(f766,plain,
( ~ sQ28_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f761,f78]) ).
fof(f767,plain,
( ~ sQ28_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f766]) ).
fof(f768,plain,
( ~ sQ25_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f754,f79]) ).
fof(f769,plain,
( ~ sQ25_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f768]) ).
fof(f770,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f90]) ).
fof(f771,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f167,f88]) ).
fof(f772,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f167,f86]) ).
fof(f774,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f770,f167]) ).
fof(f777,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f164,f772]) ).
fof(f778,plain,
( ~ sQ26_spl
| ~ sQ18_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f164,f713]) ).
fof(f779,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f164,f90]) ).
fof(f780,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f164,f88]) ).
fof(f781,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f164,f86]) ).
fof(f782,plain,
! [X0] :
( ~ sQ18_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f92]) ).
fof(f783,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f777,f80]) ).
fof(f784,plain,
( ~ sQ19_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f783]) ).
fof(f785,plain,
( ~ sQ21_spl
| ~ sQ17_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f161,f756]) ).
fof(f786,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f161,f90]) ).
fof(f787,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f161,f88]) ).
fof(f788,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f161,f86]) ).
fof(f789,plain,
! [X0] :
( ~ sQ17_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f161,f92]) ).
fof(f790,plain,
( ~ sQ21_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f785,f83]) ).
fof(f791,plain,
( ~ sQ21_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f790]) ).
fof(f792,plain,
( ~ sQ28_spl
| ~ sQ16_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f158,f507]) ).
fof(f793,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f158,f90]) ).
fof(f794,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f158,f88]) ).
fof(f795,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f158,f86]) ).
fof(f796,plain,
! [X0] :
( ~ sQ16_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f158,f92]) ).
fof(f797,plain,
( ~ sQ28_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f792,f81]) ).
fof(f798,plain,
( ~ sQ28_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f797]) ).
fof(f799,plain,
( ~ sQ26_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f778,f82]) ).
fof(f800,plain,
( ~ sQ26_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f799]) ).
fof(f801,plain,
( ~ sQ28_spl
| ~ sQ47_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f262,f509]) ).
fof(f802,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(f803,plain,
( ~ sQ47_spl
| ~ greater(e_4,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f262,f65]) ).
fof(f804,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f262,f90]) ).
fof(f805,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f262,f88]) ).
fof(f806,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f262,f86]) ).
fof(f807,plain,
! [X0] :
( ~ sQ47_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f262,f92]) ).
fof(f808,definition,
! [X0] :
( sQ116_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f809,plain,
! [X0] :
( ~ sQ116_spl
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(component_clause,[status(thm)],[f808]) ).
fof(f811,definition,
! [X1] :
( sQ117_spl
<=> ( equalish(e_4,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f812,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_4,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f814,plain,
( ~ sQ47_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f802,f808,f811,f261]) ).
fof(f815,definition,
( sQ118_spl
<=> greater(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( sQ118_spl
| ~ greater(e_4,e_3) ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f818,plain,
( ~ sQ47_spl
| ~ sQ118_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f803,f110,f815,f261]) ).
fof(f819,plain,
( sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f817,f56]) ).
fof(f820,plain,
sQ118_spl,
inference(contradiction_clause,[status(thm)],[f819]) ).
fof(f821,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(f822,plain,
( ~ sQ46_spl
| ~ greater(e_3,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f259,f65]) ).
fof(f823,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f259,f90]) ).
fof(f824,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f259,f88]) ).
fof(f825,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f259,f86]) ).
fof(f826,plain,
! [X0] :
( ~ sQ46_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f259,f92]) ).
fof(f827,definition,
! [X1] :
( sQ119_spl
<=> ( equalish(e_3,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f828,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_3,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f830,plain,
( ~ sQ46_spl
| sQ119_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f821,f808,f827,f258]) ).
fof(f831,definition,
( sQ120_spl
<=> greater(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( sQ120_spl
| ~ greater(e_3,e_3) ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f834,plain,
( ~ sQ46_spl
| ~ sQ120_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f822,f110,f831,f258]) ).
fof(f835,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(f836,plain,
( ~ sQ45_spl
| ~ greater(e_2,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f256,f65]) ).
fof(f837,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f256,f90]) ).
fof(f838,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f256,f88]) ).
fof(f839,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f256,f86]) ).
fof(f840,plain,
! [X0] :
( ~ sQ45_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f256,f92]) ).
fof(f841,definition,
! [X1] :
( sQ121_spl
<=> ( equalish(e_2,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f842,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_2,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,plain,
( ~ sQ45_spl
| sQ121_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f835,f808,f841,f255]) ).
fof(f845,definition,
( sQ122_spl
<=> greater(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( sQ122_spl
| ~ greater(e_2,e_3) ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f848,plain,
( ~ sQ45_spl
| ~ sQ122_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f836,f110,f845,f255]) ).
fof(f849,plain,
( ~ sQ28_spl
| ~ sQ44_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f253,f506]) ).
fof(f850,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(f851,plain,
( ~ sQ44_spl
| ~ greater(e_1,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f253,f65]) ).
fof(f852,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f253,f90]) ).
fof(f853,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f253,f88]) ).
fof(f854,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f253,f86]) ).
fof(f855,plain,
! [X0] :
( ~ sQ44_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f253,f92]) ).
fof(f856,plain,
( ~ sQ28_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f849,f80]) ).
fof(f857,plain,
( ~ sQ28_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f856]) ).
fof(f858,plain,
( ~ sQ26_spl
| ~ sQ43_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f249,f715]) ).
fof(f859,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f249,f90]) ).
fof(f860,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f249,f88]) ).
fof(f861,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f249,f86]) ).
fof(f862,plain,
! [X0] :
( ~ sQ43_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f249,f92]) ).
fof(f863,plain,
( ~ sQ46_spl
| ~ sQ26_spl
| ~ sQ43_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f858,f824]) ).
fof(f864,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ43_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f858,f90]) ).
fof(f865,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f858,f88]) ).
fof(f866,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ43_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f858,f86]) ).
fof(f867,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ43_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f858,f92]) ).
fof(f868,plain,
( ~ sQ46_spl
| ~ sQ26_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f863,f81]) ).
fof(f869,plain,
( ~ sQ46_spl
| ~ sQ26_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f868]) ).
fof(f870,plain,
( ~ sQ26_spl
| ~ sQ42_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f246,f712]) ).
fof(f871,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f246,f90]) ).
fof(f872,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f246,f88]) ).
fof(f873,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f246,f86]) ).
fof(f874,plain,
! [X0] :
( ~ sQ42_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f246,f92]) ).
fof(f875,plain,
( ~ sQ26_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f870,f80]) ).
fof(f876,plain,
( ~ sQ26_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f875]) ).
fof(f877,plain,
( ~ sQ45_spl
| ~ sQ41_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f243,f838]) ).
fof(f878,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f243,f90]) ).
fof(f879,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f243,f88]) ).
fof(f880,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f243,f86]) ).
fof(f881,plain,
! [X0] :
( ~ sQ41_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f243,f92]) ).
fof(f882,plain,
( ~ sQ45_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f877,f75]) ).
fof(f883,plain,
( ~ sQ45_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f882]) ).
fof(f884,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f240,f90]) ).
fof(f885,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f240,f88]) ).
fof(f886,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f240,f86]) ).
fof(f887,plain,
! [X0] :
( ~ sQ40_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f240,f92]) ).
fof(f888,plain,
( ~ sQ40_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f884,f240]) ).
fof(f889,plain,
( ~ sQ40_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f885,f240]) ).
fof(f890,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f886,f240]) ).
fof(f891,plain,
( ~ sQ21_spl
| ~ sQ39_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f236,f758]) ).
fof(f892,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f236,f90]) ).
fof(f893,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f236,f88]) ).
fof(f894,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f236,f86]) ).
fof(f895,plain,
! [X0] :
( ~ sQ39_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f236,f92]) ).
fof(f897,plain,
( ~ sQ39_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f893,f236]) ).
fof(f898,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f90]) ).
fof(f899,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f233,f88]) ).
fof(f900,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f233,f86]) ).
fof(f902,plain,
( ~ sQ45_spl
| ~ sQ37_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f230,f838]) ).
fof(f903,plain,
( ~ sQ21_spl
| ~ sQ37_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f230,f755]) ).
fof(f904,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f230,f90]) ).
fof(f905,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f230,f88]) ).
fof(f906,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f230,f86]) ).
fof(f907,plain,
! [X0] :
( ~ sQ37_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f230,f92]) ).
fof(f908,plain,
( ~ sQ45_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f902,f78]) ).
fof(f909,plain,
( ~ sQ45_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f908]) ).
fof(f910,plain,
( ~ sQ40_spl
| ~ sQ36_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f227,f885]) ).
fof(f911,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f227,f90]) ).
fof(f912,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f227,f88]) ).
fof(f913,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f227,f86]) ).
fof(f914,plain,
! [X0] :
( ~ sQ36_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f227,f92]) ).
fof(f915,plain,
( ~ sQ40_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f910,f79]) ).
fof(f916,plain,
( ~ sQ40_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f915]) ).
fof(f917,plain,
( ~ sQ39_spl
| ~ sQ35_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f223,f893]) ).
fof(f918,plain,
( ~ sQ19_spl
| ~ sQ35_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f223,f770]) ).
fof(f919,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f223,f90]) ).
fof(f920,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f223,f88]) ).
fof(f921,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f223,f86]) ).
fof(f922,plain,
! [X0] :
( ~ sQ35_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f223,f92]) ).
fof(f923,plain,
( ~ sQ39_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f917,f83]) ).
fof(f924,plain,
( ~ sQ39_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f923]) ).
fof(f925,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f220,f90]) ).
fof(f926,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f220,f88]) ).
fof(f927,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f220,f86]) ).
fof(f928,plain,
! [X0] :
( ~ sQ34_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f220,f92]) ).
fof(f929,plain,
( ~ sQ45_spl
| ~ sQ33_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f217,f838]) ).
fof(f930,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f217,f90]) ).
fof(f931,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f217,f88]) ).
fof(f932,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f217,f86]) ).
fof(f933,plain,
! [X0] :
( ~ sQ33_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f217,f92]) ).
fof(f934,plain,
( ~ sQ45_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f929,f81]) ).
fof(f935,plain,
( ~ sQ45_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f934]) ).
fof(f936,plain,
( ~ sQ40_spl
| ~ sQ32_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f214,f885]) ).
fof(f937,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f214,f90]) ).
fof(f938,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f214,f88]) ).
fof(f939,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f214,f86]) ).
fof(f940,plain,
! [X0] :
( ~ sQ32_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f214,f92]) ).
fof(f941,plain,
( ~ sQ40_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f936,f82]) ).
fof(f942,plain,
( ~ sQ40_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f941]) ).
fof(f943,plain,
( ~ sQ28_spl
| ~ sQ63_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f318,f509]) ).
fof(f944,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(f945,plain,
( ~ sQ63_spl
| ~ greater(e_4,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f318,f65]) ).
fof(f946,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f318,f90]) ).
fof(f947,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f318,f88]) ).
fof(f948,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f318,f86]) ).
fof(f949,plain,
! [X0] :
( ~ sQ63_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f318,f92]) ).
fof(f950,definition,
! [X0] :
( sQ123_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f951,plain,
! [X0] :
( ~ sQ123_spl
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(component_clause,[status(thm)],[f950]) ).
fof(f953,definition,
! [X1] :
( sQ124_spl
<=> ( equalish(e_4,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f954,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_4,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f953]) ).
fof(f956,plain,
( ~ sQ63_spl
| sQ124_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f944,f950,f953,f317]) ).
fof(f957,plain,
( ~ sQ63_spl
| ~ sQ114_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f945,f123,f656,f317]) ).
fof(f958,plain,
( ~ sQ34_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f928,f220]) ).
fof(f960,plain,
( ~ sQ34_spl
| ~ sQ38_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f899,f220]) ).
fof(f961,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f899,f233]) ).
fof(f962,plain,
( ~ sQ34_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f960,f83]) ).
fof(f963,plain,
( ~ sQ34_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f962]) ).
fof(f964,plain,
( ~ sQ34_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f958,f232,f219]) ).
fof(f965,plain,
( ~ sQ21_spl
| ~ sQ39_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f891,f216,f235,f173]) ).
fof(f966,plain,
( ~ sQ26_spl
| ~ sQ43_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f858,f219,f248,f189]) ).
fof(f967,plain,
( ~ sQ19_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f918,f80]) ).
fof(f968,plain,
( ~ sQ19_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f967]) ).
fof(f969,plain,
( ~ sQ28_spl
| ~ sQ47_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f801,f213,f261,f196]) ).
fof(f970,plain,
( ~ sQ47_spl
| ~ sQ62_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f315,f807]) ).
fof(f971,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(f972,plain,
( ~ sQ62_spl
| ~ greater(e_3,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f315,f65]) ).
fof(f973,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f315,f90]) ).
fof(f974,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f315,f88]) ).
fof(f975,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f315,f86]) ).
fof(f976,plain,
! [X0] :
( ~ sQ62_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f315,f92]) ).
fof(f977,definition,
! [X1] :
( sQ125_spl
<=> ( equalish(e_3,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f978,plain,
! [X0] :
( ~ sQ125_spl
| equalish(e_3,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f977]) ).
fof(f980,plain,
( ~ sQ62_spl
| sQ125_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f971,f950,f977,f314]) ).
fof(f981,definition,
( sQ126_spl
<=> greater(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f983,plain,
( sQ126_spl
| ~ greater(e_3,e_2) ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f984,plain,
( ~ sQ62_spl
| ~ sQ126_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f972,f123,f981,f314]) ).
fof(f985,plain,
( sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f983,f54]) ).
fof(f986,plain,
sQ126_spl,
inference(contradiction_clause,[status(thm)],[f985]) ).
fof(f987,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(f988,plain,
( ~ sQ61_spl
| ~ greater(e_2,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f312,f65]) ).
fof(f989,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f312,f90]) ).
fof(f990,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f312,f88]) ).
fof(f991,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f312,f86]) ).
fof(f992,plain,
! [X0] :
( ~ sQ61_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f312,f92]) ).
fof(f993,definition,
! [X1] :
( sQ127_spl
<=> ( equalish(e_2,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f994,plain,
! [X0] :
( ~ sQ127_spl
| equalish(e_2,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f993]) ).
fof(f996,plain,
( ~ sQ61_spl
| sQ127_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f987,f950,f993,f311]) ).
fof(f997,definition,
( sQ128_spl
<=> greater(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f999,plain,
( sQ128_spl
| ~ greater(e_2,e_2) ),
inference(component_clause,[status(thm)],[f997]) ).
fof(f1000,plain,
( ~ sQ61_spl
| ~ sQ128_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f988,f123,f997,f311]) ).
fof(f1001,plain,
( ~ sQ28_spl
| ~ sQ60_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f309,f506]) ).
fof(f1002,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(f1003,plain,
( ~ sQ60_spl
| ~ greater(e_1,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f309,f65]) ).
fof(f1004,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f309,f90]) ).
fof(f1005,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f309,f88]) ).
fof(f1006,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f309,f86]) ).
fof(f1007,plain,
! [X0] :
( ~ sQ60_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f309,f92]) ).
fof(f1008,plain,
( ~ sQ28_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1001,f77]) ).
fof(f1009,plain,
( ~ sQ28_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1008]) ).
fof(f1010,plain,
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ62_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f970,f758]) ).
fof(f1011,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ62_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f970,f90]) ).
fof(f1012,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f970,f88]) ).
fof(f1013,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f970,f86]) ).
fof(f1014,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ62_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f970,f92]) ).
fof(f1015,plain,
( ~ sQ33_spl
| ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ62_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1010,f930]) ).
fof(f1016,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ62_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1010,f90]) ).
fof(f1017,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1010,f88]) ).
fof(f1018,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ62_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1010,f86]) ).
fof(f1019,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ62_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1010,f92]) ).
fof(f1020,plain,
( ~ sQ33_spl
| ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1015,f76]) ).
fof(f1021,plain,
( ~ sQ33_spl
| ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1020]) ).
fof(f1022,plain,
( ~ sQ26_spl
| ~ sQ59_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f305,f715]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f305,f90]) ).
fof(f1024,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f305,f88]) ).
fof(f1025,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f305,f86]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ59_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f305,f92]) ).
fof(f1027,plain,
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f1022,f940]) ).
fof(f1028,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ59_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1022,f90]) ).
fof(f1030,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ59_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1022,f86]) ).
fof(f1031,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ59_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1022,f92]) ).
fof(f1032,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1027,f911]) ).
fof(f1035,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1027,f86]) ).
fof(f1036,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1027,f92]) ).
fof(f1037,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1032,f76]) ).
fof(f1038,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1037]) ).
fof(f1039,plain,
( ~ sQ41_spl
| ~ sQ58_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f302,f881]) ).
fof(f1040,plain,
( ~ sQ26_spl
| ~ sQ58_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f302,f712]) ).
fof(f1041,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f302,f90]) ).
fof(f1042,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f302,f88]) ).
fof(f1043,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f302,f86]) ).
fof(f1044,plain,
! [X0] :
( ~ sQ58_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f302,f92]) ).
fof(f1045,plain,
( ~ sQ26_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1040,f77]) ).
fof(f1046,plain,
( ~ sQ26_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1045]) ).
fof(f1047,plain,
( ~ sQ61_spl
| ~ sQ57_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f299,f990]) ).
fof(f1048,plain,
( ~ sQ41_spl
| ~ sQ57_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f299,f878]) ).
fof(f1049,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f90]) ).
fof(f1050,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f299,f88]) ).
fof(f1051,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f299,f86]) ).
fof(f1053,plain,
( ~ sQ61_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1047,f75]) ).
fof(f1054,plain,
( ~ sQ61_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1053]) ).
fof(f1055,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f296,f90]) ).
fof(f1056,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f296,f88]) ).
fof(f1057,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f296,f86]) ).
fof(f1058,plain,
! [X0] :
( ~ sQ56_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f296,f92]) ).
fof(f1059,plain,
( ~ sQ56_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1055,f296]) ).
fof(f1061,plain,
( ~ sQ56_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1057,f296]) ).
fof(f1062,plain,
( ~ sQ39_spl
| ~ sQ55_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f292,f892]) ).
fof(f1063,plain,
( ~ sQ21_spl
| ~ sQ55_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f292,f758]) ).
fof(f1064,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f292,f90]) ).
fof(f1065,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f292,f88]) ).
fof(f1066,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f292,f86]) ).
fof(f1067,plain,
! [X0] :
( ~ sQ55_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f292,f92]) ).
fof(f1068,plain,
( ~ sQ39_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1062,f76]) ).
fof(f1069,plain,
( ~ sQ39_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1068]) ).
fof(f1070,plain,
( ~ sQ39_spl
| ~ sQ54_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f289,f895]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f289,f90]) ).
fof(f1072,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f289,f88]) ).
fof(f1073,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f289,f86]) ).
fof(f1074,plain,
! [X0] :
( ~ sQ54_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f289,f92]) ).
fof(f1075,plain,
( ~ sQ39_spl
| ~ sQ54_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f1070,f291,f288,f235]) ).
fof(f1076,plain,
( ~ sQ61_spl
| ~ sQ53_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f286,f990]) ).
fof(f1077,plain,
( ~ sQ21_spl
| ~ sQ53_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f286,f755]) ).
fof(f1078,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f286,f90]) ).
fof(f1079,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f286,f88]) ).
fof(f1080,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f286,f86]) ).
fof(f1081,plain,
! [X0] :
( ~ sQ53_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f286,f92]) ).
fof(f1082,plain,
( ~ sQ61_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1076,f78]) ).
fof(f1083,plain,
( ~ sQ61_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1082]) ).
fof(f1084,plain,
( ~ sQ56_spl
| ~ sQ52_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f283,f1056]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f283,f90]) ).
fof(f1086,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f283,f88]) ).
fof(f1087,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f283,f86]) ).
fof(f1088,plain,
! [X0] :
( ~ sQ52_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f283,f92]) ).
fof(f1089,plain,
( ~ sQ56_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1084,f79]) ).
fof(f1090,plain,
( ~ sQ56_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1089]) ).
fof(f1091,plain,
( ~ sQ41_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1048,f76]) ).
fof(f1092,plain,
( ~ sQ41_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1091]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ55_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1063,f90]) ).
fof(f1094,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1063,f88]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ55_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1063,f86]) ).
fof(f1096,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ55_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1063,f92]) ).
fof(f1097,plain,
( ~ sQ21_spl
| ~ sQ55_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1093,f1063]) ).
fof(f1098,plain,
( ~ sQ21_spl
| ~ sQ55_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1094,f1063]) ).
fof(f1100,plain,
( ~ sQ21_spl
| ~ sQ55_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f1096,f1063]) ).
fof(f1101,plain,
( ~ sQ21_spl
| ~ sQ55_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f1100,f298,f291,f173]) ).
fof(f1102,plain,
( ~ sQ47_spl
| ~ sQ62_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f970,f291,f314,f261]) ).
fof(f1103,plain,
( ~ sQ21_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1077,f77]) ).
fof(f1104,plain,
( ~ sQ21_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1103]) ).
fof(f1107,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1022,f88]) ).
fof(f1109,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ59_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1022,f92]) ).
fof(f1110,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1027,f90]) ).
fof(f1111,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1027,f88]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1027,f86]) ).
fof(f1114,plain,
( ~ sQ26_spl
| ~ sQ59_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1028,f1022]) ).
fof(f1115,plain,
( ~ sQ19_spl
| ~ sQ51_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f279,f770]) ).
fof(f1116,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f279,f90]) ).
fof(f1117,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f279,f88]) ).
fof(f1118,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f279,f86]) ).
fof(f1119,plain,
! [X0] :
( ~ sQ51_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f279,f92]) ).
fof(f1120,plain,
( ~ sQ19_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1115,f77]) ).
fof(f1121,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1120]) ).
fof(f1122,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f273,f90]) ).
fof(f1123,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f273,f88]) ).
fof(f1124,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f273,f86]) ).
fof(f1125,plain,
! [X0] :
( ~ sQ49_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f273,f92]) ).
fof(f1126,plain,
( ~ sQ32_spl
| ~ sQ48_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f270,f937]) ).
fof(f1127,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f270,f90]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f270,f88]) ).
fof(f1129,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f270,f86]) ).
fof(f1130,plain,
! [X0] :
( ~ sQ48_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f270,f92]) ).
fof(f1131,plain,
( ~ sQ32_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1126,f76]) ).
fof(f1132,plain,
( ~ sQ32_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1131]) ).
fof(f1133,plain,
( ~ sQ47_spl
| ~ sQ79_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f374,f804]) ).
fof(f1134,plain,
( ~ sQ28_spl
| ~ sQ79_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f374,f509]) ).
fof(f1135,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(f1136,plain,
( ~ sQ79_spl
| ~ greater(e_4,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f374,f65]) ).
fof(f1137,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f374,f90]) ).
fof(f1138,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f374,f88]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f374,f86]) ).
fof(f1140,plain,
! [X0] :
( ~ sQ79_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f374,f92]) ).
fof(f1141,plain,
( ~ sQ47_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1133,f73]) ).
fof(f1142,plain,
( ~ sQ47_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f1141]) ).
fof(f1143,plain,
( ~ sQ47_spl
| ~ sQ78_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f371,f807]) ).
fof(f1144,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(f1145,plain,
( ~ sQ78_spl
| ~ greater(e_3,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f371,f65]) ).
fof(f1146,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f371,f90]) ).
fof(f1147,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f371,f88]) ).
fof(f1148,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f371,f86]) ).
fof(f1149,plain,
! [X0] :
( ~ sQ78_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f371,f92]) ).
fof(f1150,definition,
! [X0] :
( sQ129_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1151,plain,
! [X0] :
( ~ sQ129_spl
| ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(component_clause,[status(thm)],[f1150]) ).
fof(f1153,definition,
! [X1] :
( sQ130_spl
<=> ( equalish(e_3,X1)
| ~ next(e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ130_spl
| equalish(e_3,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f1153]) ).
fof(f1156,plain,
( ~ sQ78_spl
| sQ130_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1144,f1150,f1153,f370]) ).
fof(f1157,definition,
( sQ131_spl
<=> greater(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1159,plain,
( sQ131_spl
| ~ greater(e_3,e_1) ),
inference(component_clause,[status(thm)],[f1157]) ).
fof(f1160,plain,
( ~ sQ78_spl
| ~ sQ131_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1145,f136,f1157,f370]) ).
fof(f1161,plain,
( sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1159,f52]) ).
fof(f1162,plain,
sQ131_spl,
inference(contradiction_clause,[status(thm)],[f1161]) ).
fof(f1163,plain,
( ~ sQ61_spl
| ~ sQ77_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f368,f992]) ).
fof(f1164,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(f1165,plain,
( ~ sQ77_spl
| ~ greater(e_2,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f368,f65]) ).
fof(f1166,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f368,f90]) ).
fof(f1167,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f368,f88]) ).
fof(f1168,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f368,f86]) ).
fof(f1169,plain,
! [X0] :
( ~ sQ77_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f368,f92]) ).
fof(f1170,definition,
! [X1] :
( sQ132_spl
<=> ( equalish(e_2,X1)
| ~ next(e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1171,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_2,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f1170]) ).
fof(f1173,plain,
( ~ sQ77_spl
| sQ132_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1164,f1150,f1170,f367]) ).
fof(f1174,definition,
( sQ133_spl
<=> greater(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1176,plain,
( sQ133_spl
| ~ greater(e_2,e_1) ),
inference(component_clause,[status(thm)],[f1174]) ).
fof(f1177,plain,
( ~ sQ77_spl
| ~ sQ133_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1165,f136,f1174,f367]) ).
fof(f1178,plain,
( sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1176,f51]) ).
fof(f1179,plain,
sQ133_spl,
inference(contradiction_clause,[status(thm)],[f1178]) ).
fof(f1180,plain,
( ~ sQ28_spl
| ~ sQ76_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f365,f506]) ).
fof(f1181,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(f1182,plain,
( ~ sQ76_spl
| ~ greater(e_1,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f365,f65]) ).
fof(f1183,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f90]) ).
fof(f1184,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f365,f88]) ).
fof(f1185,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f365,f86]) ).
fof(f1187,plain,
( ~ sQ28_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1180,f74]) ).
fof(f1188,plain,
( ~ sQ28_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f1187]) ).
fof(f1189,plain,
( ~ sQ59_spl
| ~ sQ61_spl
| ~ sQ77_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f1163,f1026]) ).
fof(f1190,plain,
( ~ sQ41_spl
| ~ sQ61_spl
| ~ sQ77_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1163,f878]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ77_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1163,f90]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ77_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1163,f88]) ).
fof(f1193,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ77_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1163,f86]) ).
fof(f1194,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ77_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1163,f92]) ).
fof(f1195,plain,
( ~ sQ41_spl
| ~ sQ61_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1190,f73]) ).
fof(f1196,plain,
( ~ sQ41_spl
| ~ sQ61_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f1195]) ).
fof(f1197,plain,
( ~ sQ28_spl
| ~ sQ63_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f943,f269,f317,f196]) ).
fof(f1198,plain,
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1143,f758]) ).
fof(f1199,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ78_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1143,f90]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ78_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1143,f88]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1143,f86]) ).
fof(f1202,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ78_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1143,f92]) ).
fof(f1203,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1198,f90]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1198,f88]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1198,f86]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1198,f92]) ).
fof(f1208,plain,
( ~ sQ49_spl
| ~ sQ26_spl
| ~ sQ59_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1030,f273]) ).
fof(f1209,plain,
( ~ sQ26_spl
| ~ sQ59_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1030,f1022]) ).
fof(f1210,plain,
( ~ sQ49_spl
| ~ sQ26_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1208,f76]) ).
fof(f1211,plain,
( ~ sQ49_spl
| ~ sQ26_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1210]) ).
fof(f1214,plain,
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1035,f1027]) ).
fof(f1215,plain,
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ26_spl
| ~ sQ59_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f1031,f1198]) ).
fof(f1216,plain,
( ~ sQ41_spl
| ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ26_spl
| ~ sQ59_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1215,f881]) ).
fof(f1217,plain,
( ~ sQ26_spl
| ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ59_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1215,f712]) ).
fof(f1218,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ26_spl
| ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1215,f90]) ).
fof(f1219,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ26_spl
| ~ sQ59_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1215,f88]) ).
fof(f1220,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ26_spl
| ~ sQ59_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1215,f86]) ).
fof(f1221,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ26_spl
| ~ sQ59_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1215,f92]) ).
fof(f1222,plain,
( ~ sQ26_spl
| ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1217,f74]) ).
fof(f1223,plain,
( ~ sQ26_spl
| ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1222]) ).
fof(f1224,plain,
( ~ sQ47_spl
| ~ sQ78_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1199,f1143]) ).
fof(f1225,plain,
( ~ sQ47_spl
| ~ sQ78_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1200,f1143]) ).
fof(f1226,plain,
( ~ sQ47_spl
| ~ sQ78_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1201,f1143]) ).
fof(f1229,plain,
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1205,f1198]) ).
fof(f1230,plain,
( ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ75_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f361,f1200]) ).
fof(f1231,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f361,f715]) ).
fof(f1232,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f361,f90]) ).
fof(f1233,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f361,f88]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f361,f86]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ75_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f361,f92]) ).
fof(f1236,plain,
( ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1230,f76]) ).
fof(f1237,plain,
( ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f1236]) ).
fof(f1238,plain,
( ~ sQ78_spl
| ~ sQ74_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f358,f1147]) ).
fof(f1239,plain,
( ~ sQ41_spl
| ~ sQ74_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f358,f881]) ).
fof(f1240,plain,
( ~ sQ26_spl
| ~ sQ74_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f358,f712]) ).
fof(f1241,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f358,f90]) ).
fof(f1242,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f358,f88]) ).
fof(f1243,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f358,f86]) ).
fof(f1244,plain,
! [X0] :
( ~ sQ74_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f358,f92]) ).
fof(f1245,plain,
( ~ sQ78_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1238,f75]) ).
fof(f1246,plain,
( ~ sQ78_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f1245]) ).
fof(f1247,plain,
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ73_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f355,f1204]) ).
fof(f1248,plain,
( ~ sQ56_spl
| ~ sQ73_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f355,f1058]) ).
fof(f1249,plain,
( ~ sQ41_spl
| ~ sQ73_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f355,f878]) ).
fof(f1250,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f355,f90]) ).
fof(f1251,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f355,f88]) ).
fof(f1252,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f355,f86]) ).
fof(f1253,plain,
! [X0] :
( ~ sQ73_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f355,f92]) ).
fof(f1254,plain,
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1247,f77]) ).
fof(f1255,plain,
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1254]) ).
fof(f1256,plain,
( ~ sQ56_spl
| ~ sQ72_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f352,f1055]) ).
fof(f1257,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f352,f90]) ).
fof(f1258,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f352,f88]) ).
fof(f1259,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f352,f86]) ).
fof(f1260,plain,
! [X0] :
( ~ sQ72_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f352,f92]) ).
fof(f1261,plain,
( ~ sQ56_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1256,f72]) ).
fof(f1262,plain,
( ~ sQ56_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f1261]) ).
fof(f1263,plain,
( ~ sQ21_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f903,f80]) ).
fof(f1264,plain,
( ~ sQ21_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1263]) ).
fof(f1265,definition,
! [X1] :
( sQ134_spl
<=> ( equalish(e_4,X1)
| ~ next(e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1266,plain,
! [X0] :
( ~ sQ134_spl
| equalish(e_4,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f1265]) ).
fof(f1268,plain,
( ~ sQ79_spl
| sQ134_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1135,f1150,f1265,f373]) ).
fof(f1269,plain,
( ~ sQ79_spl
| ~ sQ115_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1136,f136,f660,f373]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ59_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1022,f86]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1231,f90]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1231,f88]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1231,f86]) ).
fof(f1277,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1231,f92]) ).
fof(f1280,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ59_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1028,f1231]) ).
fof(f1282,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1280,f72]) ).
fof(f1283,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1282]) ).
fof(f1284,plain,
( ~ sQ26_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1240,f74]) ).
fof(f1285,plain,
( ~ sQ26_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f1284]) ).
fof(f1286,plain,
( ~ sQ26_spl
| ~ sQ59_spl
| ~ sQ33_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f933,f1022]) ).
fof(f1287,plain,
( ~ sQ26_spl
| ~ sQ59_spl
| ~ sQ33_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f1286,f285,f216,f304,f189]) ).
fof(f1288,plain,
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ75_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f1231,f940]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1288,f90]) ).
fof(f1294,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ75_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1288,f88]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1288,f86]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ75_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1288,f92]) ).
fof(f1297,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1274,f1231]) ).
fof(f1298,plain,
( ~ sQ21_spl
| ~ sQ71_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f348,f758]) ).
fof(f1299,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f348,f90]) ).
fof(f1300,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f348,f88]) ).
fof(f1301,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f348,f86]) ).
fof(f1302,plain,
! [X0] :
( ~ sQ71_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f348,f92]) ).
fof(f1303,plain,
( ~ sQ36_spl
| ~ sQ70_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f345,f914]) ).
fof(f1304,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f345,f90]) ).
fof(f1305,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f345,f88]) ).
fof(f1306,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f345,f86]) ).
fof(f1307,plain,
! [X0] :
( ~ sQ70_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f345,f92]) ).
fof(f1308,plain,
( ~ sQ54_spl
| ~ sQ69_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f342,f1074]) ).
fof(f1309,plain,
( ~ sQ21_spl
| ~ sQ69_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f342,f755]) ).
fof(f1310,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f342,f90]) ).
fof(f1311,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f342,f88]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f342,f86]) ).
fof(f1313,plain,
! [X0] :
( ~ sQ69_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f342,f92]) ).
fof(f1314,plain,
( ~ sQ54_spl
| ~ sQ69_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f1308,f357,f341,f288]) ).
fof(f1315,plain,
( ~ sQ21_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1309,f74]) ).
fof(f1316,plain,
( ~ sQ21_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f1315]) ).
fof(f1317,plain,
( ~ sQ19_spl
| ~ sQ67_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f335,f770]) ).
fof(f1318,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f335,f90]) ).
fof(f1319,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f335,f88]) ).
fof(f1320,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f335,f86]) ).
fof(f1321,plain,
! [X0] :
( ~ sQ67_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f335,f92]) ).
fof(f1322,plain,
( ~ sQ19_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1317,f74]) ).
fof(f1323,plain,
( ~ sQ19_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f1322]) ).
fof(f1324,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f329,f90]) ).
fof(f1325,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f329,f88]) ).
fof(f1326,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f329,f86]) ).
fof(f1327,plain,
! [X0] :
( ~ sQ65_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f329,f92]) ).
fof(f1328,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f326,f90]) ).
fof(f1329,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f326,f88]) ).
fof(f1330,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f326,f86]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ64_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f326,f92]) ).
fof(f1332,plain,
( ~ sQ7_spl
| ~ sQ80_spl
| ~ greater(e_3,e_0)
| ~ greater(e_1,e_3) ),
inference(resolution,[status(thm)],[f397,f120]) ).
fof(f1333,plain,
( ~ sQ10_spl
| ~ sQ80_spl
| ~ greater(e_2,e_0)
| ~ greater(e_1,e_2) ),
inference(resolution,[status(thm)],[f397,f130]) ).
fof(f1334,plain,
( ~ sQ14_spl
| ~ sQ80_spl
| ~ greater(e_2,e_0)
| ~ greater(e_1,e_1) ),
inference(resolution,[status(thm)],[f397,f143]) ).
fof(f1335,plain,
( ~ sQ80_spl
| ~ greater(e_0,e_0)
| ~ greater(e_1,e_4) ),
inference(resolution,[status(thm)],[f397,f60]) ).
fof(f1336,definition,
( sQ135_spl
<=> greater(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1338,plain,
( sQ135_spl
| ~ greater(e_1,e_3) ),
inference(component_clause,[status(thm)],[f1336]) ).
fof(f1339,plain,
( ~ sQ7_spl
| ~ sQ80_spl
| ~ sQ102_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f1332,f1336,f574,f396,f119]) ).
fof(f1340,definition,
( sQ136_spl
<=> greater(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1342,plain,
( sQ136_spl
| ~ greater(e_1,e_2) ),
inference(component_clause,[status(thm)],[f1340]) ).
fof(f1343,plain,
( ~ sQ10_spl
| ~ sQ80_spl
| ~ sQ100_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f1333,f1340,f567,f396,f129]) ).
fof(f1344,definition,
( sQ137_spl
<=> greater(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1346,plain,
( sQ137_spl
| ~ greater(e_1,e_1) ),
inference(component_clause,[status(thm)],[f1344]) ).
fof(f1347,plain,
( ~ sQ14_spl
| ~ sQ80_spl
| ~ sQ100_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f1334,f1344,f567,f396,f142]) ).
fof(f1348,plain,
( ~ sQ80_spl
| ~ sQ106_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f1335,f514,f596,f396]) ).
fof(f1349,plain,
( ~ sQ70_spl
| ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1275,f345]) ).
fof(f1351,plain,
( ~ sQ70_spl
| ~ sQ26_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1349,f80]) ).
fof(f1352,plain,
( ~ sQ70_spl
| ~ sQ26_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f1351]) ).
fof(f1353,plain,
( ~ sQ64_spl
| ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1276,f326]) ).
fof(f1354,plain,
( ~ sQ65_spl
| ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1276,f329]) ).
fof(f1356,plain,
( ~ sQ64_spl
| ~ sQ26_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1353,f73]) ).
fof(f1357,plain,
( ~ sQ64_spl
| ~ sQ26_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f1356]) ).
fof(f1358,plain,
( ~ sQ65_spl
| ~ sQ26_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1354,f76]) ).
fof(f1359,plain,
( ~ sQ65_spl
| ~ sQ26_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f1358]) ).
fof(f1360,plain,
( ~ sQ21_spl
| ~ sQ71_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f1298,f328,f347,f173]) ).
fof(f1361,plain,
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1293,f1288]) ).
fof(f1363,plain,
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1295,f1288]) ).
fof(f1364,plain,
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ75_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f1296,f1288]) ).
fof(f1365,plain,
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ75_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f1364,f364,f360,f189,f213]) ).
fof(f1366,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f933,f1231]) ).
fof(f1367,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f1366,f341,f216,f360,f189]) ).
fof(f1368,plain,
( ~ sQ62_spl
| ~ sQ26_spl
| ~ sQ59_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1022,f974]) ).
fof(f1373,plain,
( ~ sQ62_spl
| ~ sQ26_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1368,f81]) ).
fof(f1374,plain,
( ~ sQ62_spl
| ~ sQ26_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1373]) ).
fof(f1380,plain,
( ~ sQ26_spl
| ~ sQ59_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1107,f1022]) ).
fof(f1386,plain,
( ~ sQ26_spl
| ~ sQ59_spl
| ~ sQ54_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1072,f1022]) ).
fof(f1387,plain,
( ~ sQ26_spl
| ~ sQ59_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1386,f83]) ).
fof(f1388,plain,
( ~ sQ26_spl
| ~ sQ59_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1387]) ).
fof(f1391,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(f1392,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(f1393,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f117,f58]) ).
fof(f1396,plain,
( ~ sQ28_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f197,f508]) ).
fof(f1397,plain,
( ~ sQ28_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f197,f507]) ).
fof(f1398,plain,
( ~ sQ78_spl
| ~ sQ28_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f197,f1149]) ).
fof(f1399,plain,
( ~ sQ28_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f197,f506]) ).
fof(f1406,plain,
( ~ sQ78_spl
| ~ sQ28_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1398,f202,f196,f370]) ).
fof(f1409,definition,
! [X1] :
( sQ138_spl
<=> ( equalish(e_1,X1)
| ~ next(e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1410,plain,
! [X0] :
( ~ sQ138_spl
| equalish(e_1,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f1409]) ).
fof(f1412,plain,
( ~ sQ76_spl
| sQ138_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1181,f1150,f1409,f364]) ).
fof(f1413,plain,
( ~ sQ76_spl
| ~ sQ137_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1182,f136,f1344,f364]) ).
fof(f1414,definition,
! [X1] :
( sQ139_spl
<=> ( equalish(e_1,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1415,plain,
! [X0] :
( ~ sQ139_spl
| equalish(e_1,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f1414]) ).
fof(f1417,plain,
( ~ sQ44_spl
| sQ139_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f850,f808,f1414,f252]) ).
fof(f1418,plain,
( ~ sQ44_spl
| ~ sQ135_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f851,f110,f1336,f252]) ).
fof(f1419,definition,
! [X1] :
( sQ140_spl
<=> ( equalish(e_1,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1420,plain,
! [X0] :
( ~ sQ140_spl
| equalish(e_1,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f1419]) ).
fof(f1422,plain,
( ~ sQ60_spl
| sQ140_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f1002,f950,f1419,f308]) ).
fof(f1423,plain,
( ~ sQ60_spl
| ~ sQ136_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1003,f123,f1340,f308]) ).
fof(f1424,plain,
( ~ sQ6_spl
| ~ sQ84_spl
| ~ greater(e_2,e_0)
| ~ greater(e_2,e_3) ),
inference(resolution,[status(thm)],[f426,f117]) ).
fof(f1425,plain,
( ~ sQ10_spl
| ~ sQ84_spl
| ~ greater(e_2,e_0)
| ~ greater(e_2,e_2) ),
inference(resolution,[status(thm)],[f426,f130]) ).
fof(f1426,plain,
( ~ sQ14_spl
| ~ sQ84_spl
| ~ greater(e_2,e_0)
| ~ greater(e_2,e_1) ),
inference(resolution,[status(thm)],[f426,f143]) ).
fof(f1427,plain,
( ~ sQ84_spl
| ~ greater(e_0,e_0)
| ~ greater(e_2,e_4) ),
inference(resolution,[status(thm)],[f426,f60]) ).
fof(f1428,plain,
( ~ sQ6_spl
| ~ sQ84_spl
| ~ sQ100_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f1424,f845,f567,f425,f116]) ).
fof(f1429,plain,
( ~ sQ10_spl
| ~ sQ84_spl
| ~ sQ100_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f1425,f997,f567,f425,f129]) ).
fof(f1430,plain,
( ~ sQ14_spl
| ~ sQ84_spl
| ~ sQ100_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f1426,f1174,f567,f425,f142]) ).
fof(f1431,plain,
( ~ sQ84_spl
| ~ sQ106_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f1427,f500,f596,f425]) ).
fof(f1434,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(f1435,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(f1436,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f120,f58]) ).
fof(f1439,plain,
( ~ sQ48_spl
| ~ sQ50_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f276,f1129]) ).
fof(f1440,plain,
( ~ sQ58_spl
| ~ sQ50_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f276,f1042]) ).
fof(f1441,plain,
( ~ sQ33_spl
| ~ sQ50_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f276,f933]) ).
fof(f1442,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f276,f90]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f276,f88]) ).
fof(f1444,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f276,f86]) ).
fof(f1445,plain,
! [X0] :
( ~ sQ50_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f276,f92]) ).
fof(f1446,plain,
( ~ sQ48_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1439,f78]) ).
fof(f1447,plain,
( ~ sQ48_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1446]) ).
fof(f1448,plain,
( ~ sQ7_spl
| ~ sQ86_spl
| ~ greater(e_3,e_0)
| ~ greater(e_3,e_3) ),
inference(resolution,[status(thm)],[f449,f120]) ).
fof(f1449,plain,
( ~ sQ10_spl
| ~ sQ86_spl
| ~ greater(e_2,e_0)
| ~ greater(e_3,e_2) ),
inference(resolution,[status(thm)],[f449,f130]) ).
fof(f1450,plain,
( ~ sQ14_spl
| ~ sQ86_spl
| ~ greater(e_2,e_0)
| ~ greater(e_3,e_1) ),
inference(resolution,[status(thm)],[f449,f143]) ).
fof(f1451,plain,
( ~ sQ86_spl
| ~ greater(e_0,e_0)
| ~ greater(e_3,e_4) ),
inference(resolution,[status(thm)],[f449,f60]) ).
fof(f1452,plain,
( ~ sQ7_spl
| ~ sQ86_spl
| ~ sQ102_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f1448,f831,f574,f448,f119]) ).
fof(f1453,plain,
( ~ sQ10_spl
| ~ sQ86_spl
| ~ sQ100_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f1449,f981,f567,f448,f129]) ).
fof(f1454,plain,
( ~ sQ14_spl
| ~ sQ86_spl
| ~ sQ100_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f1450,f1157,f567,f448,f142]) ).
fof(f1455,plain,
( ~ sQ86_spl
| ~ sQ106_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f1451,f486,f596,f448]) ).
fof(f1456,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(e_2,X0)
| ~ next(e_2,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f395]) ).
fof(f1459,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ next(e_4,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f390]) ).
fof(f1460,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f124,f386]) ).
fof(f1462,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f64]) ).
fof(f1463,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f62]) ).
fof(f1464,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f124,f58]) ).
fof(f1465,plain,
( ~ sQ8_spl
| ~ sQ104_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f1456,f425,f581,f123]) ).
fof(f1467,plain,
( ~ sQ8_spl
| ~ sQ111_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f1459,f403,f632,f123]) ).
fof(f1468,plain,
( ~ sQ8_spl
| sQ107_spl
| ~ sQ106_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f1460,f581,f596,f599,f123]) ).
fof(f1470,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,f395]) ).
fof(f1473,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,f390]) ).
fof(f1474,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f137,f386]) ).
fof(f1477,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)],[f137,f62]) ).
fof(f1478,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f137,f58]) ).
fof(f1479,plain,
( ~ sQ12_spl
| ~ sQ105_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1470,f396,f587,f136]) ).
fof(f1481,plain,
( ~ sQ12_spl
| ~ sQ113_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f1473,f403,f641,f136]) ).
fof(f1482,plain,
( ~ sQ12_spl
| sQ107_spl
| ~ sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f1474,f587,f596,f599,f136]) ).
fof(f1486,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(f1487,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(f1488,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f117,f58]) ).
fof(f1491,plain,
( ~ sQ76_spl
| ~ sQ68_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f339,f1184]) ).
fof(f1492,plain,
( ~ sQ20_spl
| ~ sQ68_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f339,f762]) ).
fof(f1493,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f339,f90]) ).
fof(f1494,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f339,f88]) ).
fof(f1495,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f339,f86]) ).
fof(f1496,plain,
! [X0] :
( ~ sQ68_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f339,f92]) ).
fof(f1497,plain,
( ~ sQ76_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1491,f78]) ).
fof(f1498,plain,
( ~ sQ76_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f1497]) ).
fof(f1499,plain,
( ~ sQ6_spl
| ~ sQ82_spl
| ~ greater(e_2,e_0)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f404,f117]) ).
fof(f1500,plain,
( ~ sQ12_spl
| ~ sQ82_spl
| ~ greater(e_0,e_0)
| ~ greater(e_4,e_1) ),
inference(resolution,[status(thm)],[f404,f137]) ).
fof(f1501,plain,
( ~ sQ8_spl
| ~ sQ82_spl
| ~ greater(e_0,e_0)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f404,f124]) ).
fof(f1503,plain,
( ~ sQ6_spl
| ~ sQ82_spl
| ~ sQ100_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f1499,f815,f567,f403,f116]) ).
fof(f1504,plain,
( ~ sQ12_spl
| ~ sQ82_spl
| ~ sQ106_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f1500,f660,f596,f403,f136]) ).
fof(f1505,plain,
( ~ sQ8_spl
| ~ sQ82_spl
| ~ sQ106_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f1501,f656,f596,f403,f123]) ).
fof(f1507,plain,
( ~ sQ20_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1492,f74]) ).
fof(f1508,plain,
( ~ sQ20_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f1507]) ).
fof(f1511,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(f1512,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(f1513,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f120,f58]) ).
fof(f1518,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(f1519,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(f1520,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_1)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f127,f58]) ).
fof(f1530,plain,
( ~ sQ103_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f578,f43]) ).
fof(f1531,plain,
( ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1530,f78]) ).
fof(f1532,plain,
~ sQ103_spl,
inference(contradiction_clause,[status(thm)],[f1531]) ).
fof(f1547,plain,
( ~ sQ101_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f571,f43]) ).
fof(f1548,plain,
( ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1547,f75]) ).
fof(f1549,plain,
~ sQ101_spl,
inference(contradiction_clause,[status(thm)],[f1548]) ).
fof(f1550,plain,
( ~ sQ67_spl
| ~ sQ66_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f332,f1320]) ).
fof(f1551,plain,
( ~ sQ65_spl
| ~ sQ66_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f332,f1326]) ).
fof(f1552,plain,
( ~ sQ74_spl
| ~ sQ66_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f332,f1242]) ).
fof(f1553,plain,
( ~ sQ33_spl
| ~ sQ66_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f332,f933]) ).
fof(f1554,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f332,f90]) ).
fof(f1555,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f332,f88]) ).
fof(f1556,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f332,f86]) ).
fof(f1557,plain,
! [X0] :
( ~ sQ66_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f332,f92]) ).
fof(f1558,plain,
( ~ sQ67_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1550,f80]) ).
fof(f1559,plain,
( ~ sQ67_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f1558]) ).
fof(f1560,plain,
( ~ sQ65_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1551,f79]) ).
fof(f1561,plain,
( ~ sQ65_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f1560]) ).
fof(f1562,plain,
( ~ sQ99_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f564,f43]) ).
fof(f1563,plain,
( ~ sQ64_spl
| ~ sQ65_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f329,f1330]) ).
fof(f1564,plain,
( ~ sQ65_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f329,f1326]) ).
fof(f1565,plain,
( ~ sQ69_spl
| ~ sQ65_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f329,f1311]) ).
fof(f1566,plain,
( ~ sQ77_spl
| ~ sQ65_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f329,f1167]) ).
fof(f1567,plain,
( ~ sQ65_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f329,f1325]) ).
fof(f1568,plain,
( ~ sQ17_spl
| ~ sQ65_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f329,f786]) ).
fof(f1569,plain,
( ~ sQ51_spl
| ~ sQ65_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f329,f1119]) ).
fof(f1570,plain,
( ~ sQ33_spl
| ~ sQ65_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f329,f930]) ).
fof(f1571,plain,
( ~ sQ48_spl
| ~ sQ65_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f329,f1130]) ).
fof(f1572,plain,
( ~ sQ65_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f329,f1324]) ).
fof(f1577,plain,
( ~ sQ64_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1563,f75]) ).
fof(f1578,plain,
( ~ sQ64_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1577]) ).
fof(f1579,plain,
( ~ sQ107_spl
| equalish(e_0,e_1) ),
inference(resolution,[status(thm)],[f600,f43]) ).
fof(f1580,plain,
( ~ sQ4_spl
| ~ sQ108_spl
| ~ greater(e_0,e_3)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f623,f111]) ).
fof(f1581,plain,
( ~ sQ13_spl
| ~ sQ108_spl
| ~ greater(e_1,e_3)
| ~ greater(e_4,e_1) ),
inference(resolution,[status(thm)],[f623,f140]) ).
fof(f1582,plain,
( ~ sQ9_spl
| ~ sQ108_spl
| ~ greater(e_1,e_3)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f623,f127]) ).
fof(f1583,plain,
( ~ sQ108_spl
| ~ greater(e_0,e_3)
| ~ greater(e_4,e_4) ),
inference(resolution,[status(thm)],[f623,f60]) ).
fof(f1584,definition,
( sQ141_spl
<=> greater(e_0,e_3) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1586,plain,
( sQ141_spl
| ~ greater(e_0,e_3) ),
inference(component_clause,[status(thm)],[f1584]) ).
fof(f1587,plain,
( ~ sQ4_spl
| ~ sQ108_spl
| ~ sQ141_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f1580,f815,f1584,f622,f110]) ).
fof(f1588,plain,
( ~ sQ13_spl
| ~ sQ108_spl
| ~ sQ135_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f1581,f660,f1336,f622,f139]) ).
fof(f1589,plain,
( ~ sQ9_spl
| ~ sQ108_spl
| ~ sQ135_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f1582,f656,f1336,f622,f126]) ).
fof(f1590,plain,
( ~ sQ108_spl
| ~ sQ141_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f1583,f472,f1584,f622]) ).
fof(f1593,plain,
! [X0,X1,X2,X3] :
( ~ sQ8_spl
| ~ greater(X1,X3)
| ~ greater(e_2,X0)
| ~ next(e_2,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f64]) ).
fof(f1594,plain,
( ~ sQ108_spl
| ~ sQ8_spl
| ~ greater(e_0,e_3)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f124,f623]) ).
fof(f1598,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f64]) ).
fof(f1599,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f62]) ).
fof(f1600,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f124,f58]) ).
fof(f1603,plain,
( ~ sQ108_spl
| ~ sQ8_spl
| ~ sQ141_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f1594,f656,f1584,f123,f622]) ).
fof(f1621,plain,
( ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f217,f932]) ).
fof(f1622,plain,
( ~ sQ37_spl
| ~ sQ33_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f217,f905]) ).
fof(f1623,plain,
( ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f217,f931]) ).
fof(f1624,plain,
( ~ sQ17_spl
| ~ sQ33_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f217,f786]) ).
fof(f1625,plain,
( ~ sQ51_spl
| ~ sQ33_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f217,f1119]) ).
fof(f1626,plain,
( ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f217,f930]) ).
fof(f1627,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f217,f1130]) ).
fof(f1628,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f217,f90]) ).
fof(f1629,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f217,f88]) ).
fof(f1630,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f217,f86]) ).
fof(f1631,plain,
! [X0] :
( ~ sQ33_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f217,f92]) ).
fof(f1632,plain,
( ~ sQ37_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1622,f83]) ).
fof(f1633,plain,
( ~ sQ37_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1632]) ).
fof(f1634,plain,
( ~ sQ30_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f203,f480]) ).
fof(f1635,plain,
( ~ sQ22_spl
| ~ sQ30_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f203,f747]) ).
fof(f1636,plain,
( ~ sQ30_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f203,f479]) ).
fof(f1637,plain,
( ~ sQ30_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f203,f478]) ).
fof(f1638,plain,
( ~ sQ44_spl
| ~ sQ30_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f203,f855]) ).
fof(f1645,plain,
( ~ sQ22_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1635,f73]) ).
fof(f1646,plain,
( ~ sQ22_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1645]) ).
fof(f1647,plain,
( ~ sQ26_spl
| ~ sQ59_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f1022,f275,f304,f189]) ).
fof(f1650,plain,
( ~ sQ20_spl
| ~ sQ44_spl
| ~ sQ30_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1638,f764]) ).
fof(f1651,plain,
( ~ sQ24_spl
| ~ sQ44_spl
| ~ sQ30_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1638,f727]) ).
fof(f1652,plain,
( ~ sQ16_spl
| ~ sQ44_spl
| ~ sQ30_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1638,f794]) ).
fof(f1653,plain,
( ~ sQ20_spl
| ~ sQ44_spl
| ~ sQ30_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1638,f763]) ).
fof(f1654,plain,
( ~ sQ69_spl
| ~ sQ44_spl
| ~ sQ30_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f1638,f1313]) ).
fof(f1655,plain,
( ~ sQ20_spl
| ~ sQ44_spl
| ~ sQ30_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1638,f762]) ).
fof(f1656,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ30_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1638,f90]) ).
fof(f1657,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1638,f88]) ).
fof(f1658,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1638,f86]) ).
fof(f1659,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ30_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1638,f92]) ).
fof(f1660,plain,
( ~ sQ24_spl
| ~ sQ44_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1651,f79]) ).
fof(f1661,plain,
( ~ sQ24_spl
| ~ sQ44_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1660]) ).
fof(f1664,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(f1665,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(f1666,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_1)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f127,f58]) ).
fof(f1676,plain,
( ~ sQ37_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f230,f906]) ).
fof(f1677,plain,
( ~ sQ41_spl
| ~ sQ37_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f230,f879]) ).
fof(f1679,plain,
( ~ sQ53_spl
| ~ sQ37_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f230,f1078]) ).
fof(f1680,plain,
( ~ sQ53_spl
| ~ sQ37_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f230,f1081]) ).
fof(f1681,plain,
( ~ sQ69_spl
| ~ sQ37_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f230,f1310]) ).
fof(f1682,plain,
( ~ sQ37_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f230,f904]) ).
fof(f1683,plain,
( ~ sQ55_spl
| ~ sQ37_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f230,f1067]) ).
fof(f1688,plain,
( ~ sQ41_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1677,f79]) ).
fof(f1689,plain,
( ~ sQ41_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1688]) ).
fof(f1690,plain,
( ~ sQ13_spl
| ~ sQ112_spl
| ~ greater(e_1,e_2)
| ~ greater(e_4,e_1) ),
inference(resolution,[status(thm)],[f637,f140]) ).
fof(f1691,plain,
( ~ sQ9_spl
| ~ sQ112_spl
| ~ greater(e_1,e_2)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f637,f127]) ).
fof(f1692,plain,
( ~ sQ4_spl
| ~ sQ112_spl
| ~ greater(e_0,e_2)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f637,f111]) ).
fof(f1693,plain,
( ~ sQ112_spl
| ~ greater(e_0,e_2)
| ~ greater(e_4,e_4) ),
inference(resolution,[status(thm)],[f637,f60]) ).
fof(f1694,plain,
( ~ sQ13_spl
| ~ sQ112_spl
| ~ sQ136_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f1690,f660,f1340,f636,f139]) ).
fof(f1695,plain,
( ~ sQ9_spl
| ~ sQ112_spl
| ~ sQ136_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f1691,f656,f1340,f636,f126]) ).
fof(f1696,definition,
( sQ142_spl
<=> greater(e_0,e_2) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1698,plain,
( sQ142_spl
| ~ greater(e_0,e_2) ),
inference(component_clause,[status(thm)],[f1696]) ).
fof(f1699,plain,
( ~ sQ4_spl
| ~ sQ112_spl
| ~ sQ142_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f1692,f815,f1696,f636,f110]) ).
fof(f1700,plain,
( ~ sQ112_spl
| ~ sQ142_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f1693,f472,f1696,f636]) ).
fof(f1701,plain,
( ~ sQ13_spl
| ~ sQ110_spl
| ~ greater(e_1,e_1)
| ~ greater(e_4,e_1) ),
inference(resolution,[status(thm)],[f630,f140]) ).
fof(f1702,plain,
( ~ sQ9_spl
| ~ sQ110_spl
| ~ greater(e_1,e_1)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f630,f127]) ).
fof(f1703,plain,
( ~ sQ4_spl
| ~ sQ110_spl
| ~ greater(e_0,e_1)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f630,f111]) ).
fof(f1704,plain,
( ~ sQ110_spl
| ~ greater(e_0,e_1)
| ~ greater(e_4,e_4) ),
inference(resolution,[status(thm)],[f630,f60]) ).
fof(f1705,plain,
( ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ137_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f1701,f660,f1344,f629,f139]) ).
fof(f1706,plain,
( ~ sQ9_spl
| ~ sQ110_spl
| ~ sQ137_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f1702,f656,f1344,f629,f126]) ).
fof(f1707,definition,
( sQ143_spl
<=> greater(e_0,e_1) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1709,plain,
( sQ143_spl
| ~ greater(e_0,e_1) ),
inference(component_clause,[status(thm)],[f1707]) ).
fof(f1710,plain,
( ~ sQ4_spl
| ~ sQ110_spl
| ~ sQ143_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f1703,f815,f1707,f629,f110]) ).
fof(f1711,plain,
( ~ sQ110_spl
| ~ sQ143_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f1704,f472,f1707,f629]) ).
fof(f1712,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f292,f1080]) ).
fof(f1713,plain,
( ~ sQ55_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f292,f1066]) ).
fof(f1714,plain,
( ~ sQ59_spl
| ~ sQ55_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f292,f1024]) ).
fof(f1715,plain,
( ~ sQ51_spl
| ~ sQ55_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f292,f1117]) ).
fof(f1716,plain,
( ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f292,f1065]) ).
fof(f1717,plain,
( ~ sQ55_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f292,f1064]) ).
fof(f1718,plain,
( ~ sQ20_spl
| ~ sQ55_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f292,f765]) ).
fof(f1719,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f292,f90]) ).
fof(f1720,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f292,f88]) ).
fof(f1721,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f292,f86]) ).
fof(f1723,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1712,f82]) ).
fof(f1724,plain,
( ~ sQ53_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1723]) ).
fof(f1725,plain,
( ~ sQ59_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1714,f79]) ).
fof(f1726,plain,
( ~ sQ59_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1725]) ).
fof(f1727,plain,
( ~ sQ17_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1624,f80]) ).
fof(f1728,plain,
( ~ sQ17_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1727]) ).
fof(f1729,plain,
( ~ sQ20_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f171,f764]) ).
fof(f1730,plain,
( ~ sQ16_spl
| ~ sQ20_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f171,f794]) ).
fof(f1731,plain,
( ~ sQ20_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f171,f763]) ).
fof(f1732,plain,
( ~ sQ52_spl
| ~ sQ20_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f171,f1085]) ).
fof(f1733,plain,
( ~ sQ36_spl
| ~ sQ20_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f171,f911]) ).
fof(f1734,plain,
( ~ sQ69_spl
| ~ sQ20_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f171,f1313]) ).
fof(f1735,plain,
( ~ sQ20_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f171,f762]) ).
fof(f1740,plain,
( ~ sQ16_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1730,f80]) ).
fof(f1741,plain,
( ~ sQ16_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1740]) ).
fof(f1742,plain,
( ~ sQ52_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1732,f82]) ).
fof(f1743,plain,
( ~ sQ52_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1742]) ).
fof(f1744,plain,
( ~ sQ77_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1566,f81]) ).
fof(f1745,plain,
( ~ sQ77_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1744]) ).
fof(f1746,plain,
( ~ sQ36_spl
| ~ sQ70_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f1303,f338,f344,f226]) ).
fof(f1749,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)],[f140,f64]) ).
fof(f1750,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)],[f140,f62]) ).
fof(f1751,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_1)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f140,f58]) ).
fof(f1756,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(f1757,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(f1758,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_1)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f127,f58]) ).
fof(f1761,plain,
( ~ sQ44_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f253,f854]) ).
fof(f1762,plain,
( ~ sQ36_spl
| ~ sQ44_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f253,f912]) ).
fof(f1763,plain,
( ~ sQ44_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f253,f853]) ).
fof(f1764,plain,
( ~ sQ60_spl
| ~ sQ44_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f253,f1004]) ).
fof(f1766,plain,
( ~ sQ44_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f253,f852]) ).
fof(f1773,plain,
( ~ sQ36_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1762,f73]) ).
fof(f1774,plain,
( ~ sQ36_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1773]) ).
fof(f1775,plain,
( ~ sQ60_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1764,f79]) ).
fof(f1776,plain,
( ~ sQ60_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1775]) ).
fof(f1779,plain,
( ~ sQ44_spl
| ~ sQ77_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1169,f253]) ).
fof(f1780,plain,
( ~ sQ44_spl
| ~ sQ77_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f1779,f255,f367,f252]) ).
fof(f1782,plain,
( ~ sQ52_spl
| ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1027,f1087]) ).
fof(f1784,plain,
( ~ sQ69_spl
| ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f1027,f1313]) ).
fof(f1786,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1027,f90]) ).
fof(f1787,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1027,f88]) ).
fof(f1788,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1027,f86]) ).
fof(f1789,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1027,f92]) ).
fof(f1790,plain,
( ~ sQ69_spl
| ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1784,f311,f304,f189,f213,f341]) ).
fof(f1791,plain,
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| ~ sQ70_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f1307,f1027]) ).
fof(f1792,plain,
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| ~ sQ70_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f1791,f314,f344,f304,f189,f213]) ).
fof(f1793,plain,
( ~ sQ44_spl
| ~ sQ32_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f938,f253]) ).
fof(f1794,plain,
( ~ sQ44_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1793,f74]) ).
fof(f1795,plain,
( ~ sQ44_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1794]) ).
fof(f1796,plain,
! [X0,X1] :
( ~ sQ9_spl
| ~ sQ4_spl
| ~ greater(X1,e_1)
| ~ greater(e_3,X0)
| ~ next(e_3,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f443,f127]) ).
fof(f1797,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ4_spl
| ~ greater(X1,e_1)
| ~ greater(e_3,X0)
| ~ next(e_3,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f443,f140]) ).
fof(f1800,definition,
! [X0,X1] :
( sQ144_spl
<=> ( ~ greater(X1,e_1)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1801,plain,
! [X0,X1] :
( ~ sQ144_spl
| ~ greater(X1,e_1)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f1800]) ).
fof(f1803,definition,
( sQ145_spl
<=> next(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1805,plain,
( sQ145_spl
| ~ next(e_3,e_2) ),
inference(component_clause,[status(thm)],[f1803]) ).
fof(f1806,plain,
( ~ sQ9_spl
| ~ sQ4_spl
| ~ sQ145_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1796,f1800,f1803,f110,f126]) ).
fof(f1807,definition,
( sQ146_spl
<=> next(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1809,plain,
( sQ146_spl
| ~ next(e_3,e_1) ),
inference(component_clause,[status(thm)],[f1807]) ).
fof(f1810,plain,
( ~ sQ13_spl
| ~ sQ4_spl
| ~ sQ146_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1797,f1800,f1807,f110,f139]) ).
fof(f1817,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ4_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f446,f127]) ).
fof(f1818,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ4_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f446,f140]) ).
fof(f1819,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f446,f111]) ).
fof(f1820,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f446,f60]) ).
fof(f1821,definition,
( sQ147_spl
<=> next(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1823,plain,
( sQ147_spl
| ~ next(e_2,e_3) ),
inference(component_clause,[status(thm)],[f1821]) ).
fof(f1824,plain,
( ~ sQ9_spl
| ~ sQ4_spl
| sQ99_spl
| ~ sQ98_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f1817,f1821,f560,f563,f110,f126]) ).
fof(f1825,definition,
( sQ148_spl
<=> next(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1827,plain,
( sQ148_spl
| ~ next(e_1,e_3) ),
inference(component_clause,[status(thm)],[f1825]) ).
fof(f1828,plain,
( ~ sQ13_spl
| ~ sQ4_spl
| sQ99_spl
| ~ sQ98_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f1818,f1825,f560,f563,f110,f139]) ).
fof(f1829,plain,
( ~ sQ4_spl
| sQ107_spl
| ~ sQ106_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f1819,f451,f596,f599,f110]) ).
fof(f1830,plain,
( ~ sQ4_spl
| sQ107_spl
| ~ sQ106_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f1820,f625,f596,f599,f110]) ).
fof(f1831,plain,
( sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1823,f45]) ).
fof(f1832,plain,
sQ147_spl,
inference(contradiction_clause,[status(thm)],[f1831]) ).
fof(f1833,plain,
( ~ sQ52_spl
| ~ sQ33_spl
| ~ sQ50_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1441,f1087]) ).
fof(f1834,plain,
( ~ sQ52_spl
| ~ sQ33_spl
| ~ sQ50_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f1441,f1088]) ).
fof(f1835,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ50_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1441,f90]) ).
fof(f1836,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ50_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1441,f88]) ).
fof(f1837,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ50_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1441,f86]) ).
fof(f1838,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ50_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1441,f92]) ).
fof(f1839,plain,
( ~ sQ52_spl
| ~ sQ33_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1833,f75]) ).
fof(f1840,plain,
( ~ sQ52_spl
| ~ sQ33_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1839]) ).
fof(f1844,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1231,f92]) ).
fof(f1845,plain,
( ~ sQ29_spl
| ~ sQ69_spl
| ~ sQ20_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1734,f494]) ).
fof(f1846,plain,
( ~ sQ29_spl
| ~ sQ69_spl
| ~ sQ20_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1734,f493]) ).
fof(f1848,plain,
! [X0,X1] :
( ~ sQ69_spl
| ~ sQ20_spl
| equalish(e_2,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f1734,f67]) ).
fof(f1849,plain,
( ~ sQ69_spl
| ~ sQ20_spl
| ~ greater(e_2,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f1734,f65]) ).
fof(f1850,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ20_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1734,f90]) ).
fof(f1851,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1734,f88]) ).
fof(f1852,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ20_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1734,f86]) ).
fof(f1853,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ20_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1734,f92]) ).
fof(f1854,plain,
( ~ sQ69_spl
| ~ sQ20_spl
| sQ93_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1848,f465,f496,f170,f341]) ).
fof(f1855,plain,
( ~ sQ69_spl
| ~ sQ20_spl
| ~ sQ94_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1849,f97,f500,f170,f341]) ).
fof(f1856,plain,
( ~ sQ44_spl
| ~ sQ76_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1183,f253]) ).
fof(f1857,plain,
( ~ sQ44_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1856,f78]) ).
fof(f1858,plain,
( ~ sQ44_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f1857]) ).
fof(f1859,plain,
( ~ sQ44_spl
| ~ sQ78_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f1149,f253]) ).
fof(f1860,plain,
( ~ sQ44_spl
| ~ sQ78_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1859,f854]) ).
fof(f1861,plain,
( ~ sQ46_spl
| ~ sQ44_spl
| ~ sQ78_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f1859,f826]) ).
fof(f1862,plain,
( ~ sQ44_spl
| ~ sQ78_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f1859,f855]) ).
fof(f1863,plain,
! [X0,X1] :
( ~ sQ44_spl
| ~ sQ78_spl
| equalish(e_3,X1)
| ~ next(e_3,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f1859,f67]) ).
fof(f1864,plain,
( ~ sQ44_spl
| ~ sQ78_spl
| ~ greater(e_3,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f1859,f65]) ).
fof(f1865,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ78_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1859,f90]) ).
fof(f1866,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ78_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1859,f88]) ).
fof(f1867,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ78_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1859,f86]) ).
fof(f1868,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ78_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1859,f92]) ).
fof(f1869,plain,
( ~ sQ44_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1860,f78]) ).
fof(f1870,plain,
( ~ sQ44_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1869]) ).
fof(f1871,plain,
( ~ sQ44_spl
| ~ sQ79_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1140,f253]) ).
fof(f1872,plain,
( ~ sQ44_spl
| ~ sQ79_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f1871,f261,f373,f252]) ).
fof(f1873,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(e_2,X0)
| ~ next(e_2,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f445]) ).
fof(f1876,plain,
! [X0,X1,X2,X3] :
( ~ sQ8_spl
| ~ greater(X1,X3)
| ~ greater(e_2,X0)
| ~ next(e_2,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f64]) ).
fof(f1877,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ8_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f124,f446]) ).
fof(f1878,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ next(e_3,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f443]) ).
fof(f1882,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f64]) ).
fof(f1883,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f62]) ).
fof(f1884,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f124,f58]) ).
fof(f1885,plain,
( ~ sQ4_spl
| ~ sQ8_spl
| ~ sQ147_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f1873,f425,f1821,f123,f110]) ).
fof(f1888,plain,
( ~ sQ4_spl
| ~ sQ8_spl
| sQ107_spl
| ~ sQ106_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f1877,f1821,f596,f599,f123,f110]) ).
fof(f1889,plain,
( ~ sQ4_spl
| ~ sQ8_spl
| ~ sQ145_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f1878,f448,f1803,f123,f110]) ).
fof(f1893,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ sQ12_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ next(e_1,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f137,f445]) ).
fof(f1897,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ12_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f137,f446]) ).
fof(f1898,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ sQ12_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ next(e_3,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f137,f443]) ).
fof(f1905,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ148_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1893,f396,f1825,f136,f110]) ).
fof(f1908,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| sQ107_spl
| ~ sQ106_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f1897,f1825,f596,f599,f136,f110]) ).
fof(f1909,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ146_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f1898,f448,f1807,f136,f110]) ).
fof(f1913,plain,
( ~ sQ29_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f200,f494]) ).
fof(f1914,plain,
( ~ sQ17_spl
| ~ sQ29_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f200,f787]) ).
fof(f1915,plain,
( ~ sQ29_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f200,f493]) ).
fof(f1916,plain,
( ~ sQ45_spl
| ~ sQ29_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f200,f837]) ).
fof(f1917,plain,
( ~ sQ60_spl
| ~ sQ29_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f200,f1007]) ).
fof(f1918,plain,
( ~ sQ29_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f200,f492]) ).
fof(f1925,plain,
( ~ sQ17_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1914,f74]) ).
fof(f1926,plain,
( ~ sQ17_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f1925]) ).
fof(f1927,plain,
( ~ sQ45_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1916,f83]) ).
fof(f1928,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f1927]) ).
fof(f1930,plain,
( ~ sQ12_spl
| ~ sQ86_spl
| ~ greater(e_0,e_0)
| ~ greater(e_3,e_1) ),
inference(resolution,[status(thm)],[f449,f137]) ).
fof(f1931,plain,
( ~ sQ8_spl
| ~ sQ86_spl
| ~ greater(e_0,e_0)
| ~ greater(e_3,e_2) ),
inference(resolution,[status(thm)],[f449,f124]) ).
fof(f1932,plain,
( ~ sQ4_spl
| ~ sQ86_spl
| ~ greater(e_0,e_0)
| ~ greater(e_3,e_3) ),
inference(resolution,[status(thm)],[f449,f111]) ).
fof(f1934,plain,
( ~ sQ12_spl
| ~ sQ86_spl
| ~ sQ106_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f1930,f1157,f596,f448,f136]) ).
fof(f1935,plain,
( ~ sQ8_spl
| ~ sQ86_spl
| ~ sQ106_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f1931,f981,f596,f448,f123]) ).
fof(f1936,plain,
( ~ sQ4_spl
| ~ sQ86_spl
| ~ sQ106_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f1932,f831,f596,f448,f110]) ).
fof(f1938,plain,
( ~ sQ64_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f326,f1330]) ).
fof(f1939,plain,
( ~ sQ76_spl
| ~ sQ64_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f326,f1184]) ).
fof(f1940,plain,
( ~ sQ64_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f326,f1329]) ).
fof(f1941,plain,
( ~ sQ32_spl
| ~ sQ64_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f326,f937]) ).
fof(f1942,plain,
( ~ sQ64_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f326,f1328]) ).
fof(f1943,plain,
( ~ sQ64_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f326,f1331]) ).
fof(f1944,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f326,f90]) ).
fof(f1945,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f326,f88]) ).
fof(f1946,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f326,f86]) ).
fof(f1947,plain,
! [X0] :
( ~ sQ64_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f326,f92]) ).
fof(f1948,plain,
( ~ sQ76_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1939,f81]) ).
fof(f1949,plain,
( ~ sQ76_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f1948]) ).
fof(f1950,plain,
( ~ sQ17_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1568,f74]) ).
fof(f1951,plain,
( ~ sQ17_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1950]) ).
fof(f1952,plain,
( ~ sQ74_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1552,f82]) ).
fof(f1953,plain,
( ~ sQ74_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f1952]) ).
fof(f1954,plain,
( ~ sQ20_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f171,f764]) ).
fof(f1955,plain,
( ~ sQ24_spl
| ~ sQ20_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f171,f727]) ).
fof(f1958,plain,
( ~ sQ70_spl
| ~ sQ20_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f171,f1307]) ).
fof(f1963,plain,
( ~ sQ24_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1955,f79]) ).
fof(f1964,plain,
( ~ sQ24_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1963]) ).
fof(f1965,plain,
( ~ sQ70_spl
| ~ sQ20_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1958,f202,f170,f344]) ).
fof(f1966,plain,
( ~ sQ56_spl
| ~ sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f1248,f351,f354,f295]) ).
fof(f1967,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1231,f90]) ).
fof(f1970,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1231,f92]) ).
fof(f1971,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1274,f1231]) ).
fof(f1972,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1275,f1231]) ).
fof(f1973,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1276,f1231]) ).
fof(f1974,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ35_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f922,f1231]) ).
fof(f1975,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ35_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f1974,f765]) ).
fof(f1976,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ35_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1974,f90]) ).
fof(f1977,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ35_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1974,f88]) ).
fof(f1978,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1974,f86]) ).
fof(f1979,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ35_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1974,f92]) ).
fof(f1980,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ35_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1975,f325,f222,f360,f189,f170]) ).
fof(f1981,plain,
( ~ sQ64_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f1943,f364,f325]) ).
fof(f1982,plain,
( ~ sQ20_spl
| ~ sQ71_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f1302,f171]) ).
fof(f1983,plain,
( ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ71_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f1982,f464]) ).
fof(f1984,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sQ71_spl
| equalish(e_4,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f1982,f67]) ).
fof(f1985,plain,
( ~ sQ20_spl
| ~ sQ71_spl
| ~ greater(e_4,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f1982,f65]) ).
fof(f1986,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ71_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1982,f90]) ).
fof(f1987,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1982,f88]) ).
fof(f1988,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ71_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1982,f86]) ).
fof(f1989,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ71_spl
| product(X0,e_4,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1982,f92]) ).
fof(f1990,plain,
( ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ71_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f1983,f166,f347,f170,f205]) ).
fof(f1991,plain,
( ~ sQ20_spl
| ~ sQ71_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1984,f465,f468,f347,f170]) ).
fof(f1992,plain,
( ~ sQ20_spl
| ~ sQ71_spl
| ~ sQ90_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1985,f97,f472,f347,f170]) ).
fof(f1993,plain,
( ~ sQ69_spl
| ~ sQ20_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f1734,f199,f170,f341]) ).
fof(f1994,plain,
( ~ sQ58_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1440,f82]) ).
fof(f1995,plain,
( ~ sQ58_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1994]) ).
fof(f1999,plain,
! [X0,X1,X2,X3] :
( ~ sQ8_spl
| ~ greater(X1,X3)
| ~ greater(e_2,X0)
| ~ next(e_2,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f64]) ).
fof(f2006,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f64]) ).
fof(f2007,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f62]) ).
fof(f2008,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f124,f58]) ).
fof(f2040,plain,
( ~ sQ45_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f256,f839]) ).
fof(f2041,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f256,f838]) ).
fof(f2042,plain,
( ~ sQ45_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f256,f837]) ).
fof(f2043,plain,
( ~ sQ60_spl
| ~ sQ45_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f256,f1007]) ).
fof(f2050,plain,
( ~ sQ60_spl
| ~ sQ45_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f2043,f239,f255,f308]) ).
fof(f2053,plain,
( ~ sQ45_spl
| ~ sQ61_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f992,f256]) ).
fof(f2054,plain,
( ~ sQ45_spl
| ~ sQ61_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f2053,f242,f311,f255]) ).
fof(f2055,plain,
( ~ sQ45_spl
| ~ sQ62_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f976,f256]) ).
fof(f2056,plain,
( ~ sQ43_spl
| ~ sQ45_spl
| ~ sQ62_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f2055,f861]) ).
fof(f2057,plain,
( ~ sQ43_spl
| ~ sQ45_spl
| ~ sQ62_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f2055,f862]) ).
fof(f2058,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2055,f90]) ).
fof(f2059,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ62_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f2055,f88]) ).
fof(f2060,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2055,f86]) ).
fof(f2061,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ62_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2055,f92]) ).
fof(f2062,plain,
( ~ sQ43_spl
| ~ sQ45_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2056,f80]) ).
fof(f2063,plain,
( ~ sQ43_spl
| ~ sQ45_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2062]) ).
fof(f2064,plain,
( ~ sQ45_spl
| ~ sQ62_spl
| ~ sQ42_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f874,f2055]) ).
fof(f2065,plain,
( ~ sQ45_spl
| ~ sQ62_spl
| ~ sQ42_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f2064,f232,f245,f314,f255]) ).
fof(f2066,plain,
( ~ sQ45_spl
| ~ sQ62_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2058,f2055]) ).
fof(f2067,plain,
( ~ sQ45_spl
| ~ sQ62_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2059,f2055]) ).
fof(f2068,plain,
( ~ sQ45_spl
| ~ sQ62_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2060,f2055]) ).
fof(f2069,plain,
( ~ sQ45_spl
| ~ sQ62_spl
| ~ sQ58_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1041,f2055]) ).
fof(f2070,plain,
( ~ sQ45_spl
| ~ sQ62_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2069,f79]) ).
fof(f2071,plain,
( ~ sQ45_spl
| ~ sQ62_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f2070]) ).
fof(f2072,plain,
( ~ sQ45_spl
| ~ sQ62_spl
| ~ sQ38_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f899,f2055]) ).
fof(f2073,plain,
( ~ sQ45_spl
| ~ sQ62_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2072,f76]) ).
fof(f2074,plain,
( ~ sQ45_spl
| ~ sQ62_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f2073]) ).
fof(f2075,plain,
( ~ sQ45_spl
| ~ sQ63_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f949,f256]) ).
fof(f2076,plain,
( ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f2075,f729]) ).
fof(f2077,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2075,f90]) ).
fof(f2078,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ63_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2075,f88]) ).
fof(f2079,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2075,f86]) ).
fof(f2080,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ63_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2075,f92]) ).
fof(f2081,plain,
( ~ sQ32_spl
| ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2076,f939]) ).
fof(f2082,plain,
( ~ sQ36_spl
| ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2076,f912]) ).
fof(f2083,plain,
( ~ sQ32_spl
| ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2076,f938]) ).
fof(f2084,plain,
( ~ sQ16_spl
| ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f2076,f793]) ).
fof(f2085,plain,
( ~ sQ32_spl
| ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2076,f937]) ).
fof(f2086,plain,
( ~ sQ65_spl
| ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f2076,f1327]) ).
fof(f2087,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2076,f90]) ).
fof(f2088,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2076,f88]) ).
fof(f2089,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2076,f86]) ).
fof(f2090,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2076,f92]) ).
fof(f2091,plain,
( ~ sQ36_spl
| ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2082,f83]) ).
fof(f2092,plain,
( ~ sQ36_spl
| ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f2091]) ).
fof(f2093,plain,
( ~ sQ72_spl
| ~ sQ48_spl
| ~ sQ65_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1571,f1259]) ).
fof(f2094,plain,
( ~ sQ76_spl
| ~ sQ48_spl
| ~ sQ65_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1571,f1184]) ).
fof(f2095,plain,
( ~ sQ72_spl
| ~ sQ48_spl
| ~ sQ65_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1571,f1258]) ).
fof(f2096,plain,
( ~ sQ24_spl
| ~ sQ48_spl
| ~ sQ65_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1571,f726]) ).
fof(f2097,plain,
( ~ sQ72_spl
| ~ sQ48_spl
| ~ sQ65_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1571,f1257]) ).
fof(f2098,plain,
( ~ sQ72_spl
| ~ sQ48_spl
| ~ sQ65_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f1571,f1260]) ).
fof(f2099,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ65_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1571,f90]) ).
fof(f2100,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ65_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1571,f88]) ).
fof(f2101,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ65_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1571,f86]) ).
fof(f2102,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ65_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1571,f92]) ).
fof(f2103,plain,
( ~ sQ76_spl
| ~ sQ48_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2094,f75]) ).
fof(f2104,plain,
( ~ sQ76_spl
| ~ sQ48_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f2103]) ).
fof(f2105,plain,
( ~ sQ45_spl
| ~ sQ60_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f1007,f256]) ).
fof(f2106,plain,
( ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ60_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f2105,f726]) ).
fof(f2107,plain,
( ~ sQ72_spl
| ~ sQ45_spl
| ~ sQ60_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2105,f1257]) ).
fof(f2108,plain,
( ~ sQ72_spl
| ~ sQ45_spl
| ~ sQ60_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f2105,f1260]) ).
fof(f2109,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ60_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2105,f90]) ).
fof(f2110,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ60_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2105,f88]) ).
fof(f2111,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2105,f86]) ).
fof(f2112,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ60_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2105,f92]) ).
fof(f2113,plain,
( ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2106,f80]) ).
fof(f2114,plain,
( ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2113]) ).
fof(f2115,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ35_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f1974,f347,f222,f360,f189]) ).
fof(f2116,plain,
( ~ sQ72_spl
| ~ sQ45_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2107,f78]) ).
fof(f2117,plain,
( ~ sQ72_spl
| ~ sQ45_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2116]) ).
fof(f2118,plain,
( ~ sQ45_spl
| ~ sQ60_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2109,f2105]) ).
fof(f2119,plain,
( ~ sQ45_spl
| ~ sQ60_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2110,f2105]) ).
fof(f2120,plain,
( ~ sQ45_spl
| ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2111,f2105]) ).
fof(f2122,plain,
( ~ sQ86_spl
| ~ sQ9_spl
| ~ greater(e_1,e_0)
| ~ greater(e_3,e_2) ),
inference(resolution,[status(thm)],[f127,f449]) ).
fof(f2127,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(f2128,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(f2129,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_1)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f127,f58]) ).
fof(f2130,plain,
( ~ sQ86_spl
| ~ sQ9_spl
| ~ sQ98_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f2122,f981,f560,f126,f448]) ).
fof(f2135,plain,
( ~ sQ86_spl
| ~ sQ11_spl
| ~ greater(e_3,e_0)
| ~ greater(e_3,e_2) ),
inference(resolution,[status(thm)],[f133,f449]) ).
fof(f2136,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ11_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f133,f446]) ).
fof(f2137,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ sQ11_spl
| ~ greater(X1,e_3)
| ~ greater(e_3,X0)
| ~ next(e_3,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f133,f443]) ).
fof(f2140,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(f2141,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(f2142,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f133,f58]) ).
fof(f2143,plain,
( ~ sQ86_spl
| ~ sQ11_spl
| ~ sQ102_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f2135,f981,f574,f132,f448]) ).
fof(f2144,plain,
( ~ sQ4_spl
| ~ sQ11_spl
| sQ103_spl
| ~ sQ102_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f2136,f1821,f574,f577,f132,f110]) ).
fof(f2145,definition,
! [X0,X1] :
( sQ149_spl
<=> ( ~ greater(X1,e_3)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f2146,plain,
! [X0,X1] :
( ~ sQ149_spl
| ~ greater(X1,e_3)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f2145]) ).
fof(f2148,plain,
( ~ sQ4_spl
| ~ sQ11_spl
| ~ sQ145_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f2137,f2145,f1803,f132,f110]) ).
fof(f2154,plain,
! [X0,X1,X2,X3] :
( ~ sQ8_spl
| ~ greater(X1,X3)
| ~ greater(e_2,X0)
| ~ next(e_2,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f64]) ).
fof(f2161,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f64]) ).
fof(f2162,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f62]) ).
fof(f2163,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f124,f58]) ).
fof(f2195,plain,
( ~ sQ45_spl
| ~ sQ60_spl
| ~ sQ75_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1235,f2105]) ).
fof(f2196,plain,
( ~ sQ45_spl
| ~ sQ60_spl
| ~ sQ75_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f2195,f261,f360,f308,f255]) ).
fof(f2199,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f309,f1006]) ).
fof(f2200,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f309,f1005]) ).
fof(f2201,plain,
( ~ sQ76_spl
| ~ sQ60_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f309,f1183]) ).
fof(f2202,plain,
( ~ sQ60_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f309,f1004]) ).
fof(f2209,plain,
( ~ sQ76_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2201,f75]) ).
fof(f2210,plain,
( ~ sQ76_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2209]) ).
fof(f2213,plain,
( ~ sQ86_spl
| ~ sQ15_spl
| ~ greater(e_3,e_0)
| ~ greater(e_3,e_1) ),
inference(resolution,[status(thm)],[f146,f449]) ).
fof(f2214,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ15_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f146,f446]) ).
fof(f2215,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ sQ15_spl
| ~ greater(X1,e_3)
| ~ greater(e_3,X0)
| ~ next(e_3,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f146,f443]) ).
fof(f2221,plain,
( ~ sQ86_spl
| ~ sQ15_spl
| ~ sQ102_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f2213,f1157,f574,f145,f448]) ).
fof(f2222,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sQ103_spl
| ~ sQ102_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f2214,f1825,f574,f577,f145,f110]) ).
fof(f2223,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| ~ sQ146_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f2215,f2145,f1807,f145,f110]) ).
fof(f2226,plain,
( ~ sQ86_spl
| ~ sQ13_spl
| ~ greater(e_1,e_0)
| ~ greater(e_3,e_1) ),
inference(resolution,[status(thm)],[f140,f449]) ).
fof(f2231,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)],[f140,f64]) ).
fof(f2232,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)],[f140,f62]) ).
fof(f2233,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_1)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f140,f58]) ).
fof(f2234,plain,
( ~ sQ86_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f2226,f1157,f560,f139,f448]) ).
fof(f2239,plain,
( ~ sQ33_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1570,f73]) ).
fof(f2240,plain,
( ~ sQ33_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f2239]) ).
fof(f2241,plain,
( ~ sQ33_spl
| ~ sQ66_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f1553,f341,f331,f216]) ).
fof(f2264,plain,
( ~ sQ70_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f345,f1306]) ).
fof(f2265,plain,
( ~ sQ70_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f345,f1305]) ).
fof(f2266,plain,
( ~ sQ39_spl
| ~ sQ70_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f345,f895]) ).
fof(f2267,plain,
( ~ sQ70_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f345,f1304]) ).
fof(f2272,plain,
( ~ sQ39_spl
| ~ sQ70_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f2266,f347,f344,f235]) ).
fof(f2273,plain,
( ~ sQ70_spl
| ~ sQ54_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1071,f345]) ).
fof(f2274,plain,
( ~ sQ70_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2273,f72]) ).
fof(f2275,plain,
( ~ sQ70_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f2274]) ).
fof(f2276,plain,
( ~ sQ70_spl
| ~ sQ38_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f898,f345]) ).
fof(f2277,plain,
( ~ sQ70_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2276,f73]) ).
fof(f2278,plain,
( ~ sQ70_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f2277]) ).
fof(f2279,plain,
( ~ sQ59_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f305,f1025]) ).
fof(f2280,plain,
( ~ sQ59_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f305,f1024]) ).
fof(f2281,plain,
( ~ sQ43_spl
| ~ sQ59_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f305,f859]) ).
fof(f2282,plain,
( ~ sQ24_spl
| ~ sQ59_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f305,f729]) ).
fof(f2283,plain,
( ~ sQ59_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f305,f1023]) ).
fof(f2288,plain,
( ~ sQ43_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2281,f76]) ).
fof(f2289,plain,
( ~ sQ43_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2288]) ).
fof(f2290,plain,
( ~ sQ24_spl
| ~ sQ59_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f2282,f269,f304,f183]) ).
fof(f2291,plain,
( ~ sQ41_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1249,f73]) ).
fof(f2292,plain,
( ~ sQ41_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f2291]) ).
fof(f2294,plain,
( ~ sQ30_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f203,f479]) ).
fof(f2295,plain,
( ~ sQ46_spl
| ~ sQ30_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f203,f823]) ).
fof(f2296,plain,
( ~ sQ46_spl
| ~ sQ30_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f203,f826]) ).
fof(f2297,plain,
( ~ sQ30_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f203,f478]) ).
fof(f2304,plain,
( ~ sQ46_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2295,f83]) ).
fof(f2305,plain,
( ~ sQ46_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2304]) ).
fof(f2308,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(e_2,X0)
| ~ next(e_2,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f420,f137]) ).
fof(f2312,definition,
( sQ150_spl
<=> next(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f2314,plain,
( sQ150_spl
| ~ next(e_2,e_1) ),
inference(component_clause,[status(thm)],[f2312]) ).
fof(f2315,plain,
( ~ sQ12_spl
| ~ sQ8_spl
| ~ sQ150_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f2308,f425,f2312,f123,f136]) ).
fof(f2319,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ next(e_1,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f422,f137]) ).
fof(f2323,definition,
( sQ151_spl
<=> next(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f2325,plain,
( sQ151_spl
| ~ next(e_1,e_2) ),
inference(component_clause,[status(thm)],[f2323]) ).
fof(f2326,plain,
( ~ sQ12_spl
| ~ sQ8_spl
| ~ sQ151_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f2319,f396,f2323,f123,f136]) ).
fof(f2330,plain,
( sQ151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2325,f44]) ).
fof(f2331,plain,
sQ151_spl,
inference(contradiction_clause,[status(thm)],[f2330]) ).
fof(f2332,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ8_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f423,f137]) ).
fof(f2333,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f423,f124]) ).
fof(f2334,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ8_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f423,f111]) ).
fof(f2335,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f423,f60]) ).
fof(f2336,plain,
( ~ sQ12_spl
| ~ sQ8_spl
| sQ107_spl
| ~ sQ106_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f2332,f2323,f596,f599,f123,f136]) ).
fof(f2337,plain,
( ~ sQ8_spl
| sQ107_spl
| ~ sQ106_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f2333,f428,f596,f599,f123]) ).
fof(f2338,plain,
( ~ sQ4_spl
| ~ sQ8_spl
| sQ107_spl
| ~ sQ106_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f2334,f1803,f596,f599,f123,f110]) ).
fof(f2339,plain,
( ~ sQ8_spl
| sQ107_spl
| ~ sQ106_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f2335,f632,f596,f599,f123]) ).
fof(f2341,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f1185]) ).
fof(f2342,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f1184]) ).
fof(f2343,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f1183]) ).
fof(f2352,plain,
( ~ sQ61_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f312,f991]) ).
fof(f2353,plain,
( ~ sQ61_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f312,f990]) ).
fof(f2354,plain,
( ~ sQ29_spl
| ~ sQ61_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f312,f492]) ).
fof(f2355,plain,
( ~ sQ61_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f312,f989]) ).
fof(f2356,plain,
( ~ sQ61_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f312,f992]) ).
fof(f2363,plain,
( ~ sQ29_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2354,f77]) ).
fof(f2364,plain,
( ~ sQ29_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f2363]) ).
fof(f2365,plain,
( ~ sQ61_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f2356,f298,f311]) ).
fof(f2378,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1231,f92]) ).
fof(f2379,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1627,f90]) ).
fof(f2380,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1627,f88]) ).
fof(f2381,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1627,f86]) ).
fof(f2383,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| ~ sQ75_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1235,f1627]) ).
fof(f2384,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| ~ sQ75_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f2383,f261,f360,f216,f269]) ).
fof(f2385,plain,
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ75_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f1288,f338,f360,f189,f213]) ).
fof(f2386,plain,
( ~ sQ36_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1733,f83]) ).
fof(f2387,plain,
( ~ sQ36_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f2386]) ).
fof(f2388,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ50_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1441,f90]) ).
fof(f2389,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ50_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1441,f88]) ).
fof(f2390,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ50_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1441,f86]) ).
fof(f2391,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ50_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1441,f92]) ).
fof(f2392,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1967,f1231]) ).
fof(f2395,plain,
( ~ sQ33_spl
| ~ sQ50_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1835,f1441]) ).
fof(f2396,plain,
( ~ sQ33_spl
| ~ sQ50_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1836,f1441]) ).
fof(f2397,plain,
( ~ sQ33_spl
| ~ sQ50_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1837,f1441]) ).
fof(f2400,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1631,f1231]) ).
fof(f2401,plain,
( ~ sQ53_spl
| ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f2400,f1081]) ).
fof(f2402,plain,
( ~ sQ33_spl
| ~ sQ50_spl
| ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f2400,f1835]) ).
fof(f2403,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2400,f90]) ).
fof(f2405,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2400,f86]) ).
fof(f2406,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2400,f92]) ).
fof(f2407,plain,
( ~ sQ53_spl
| ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f2401,f354,f216,f360,f189,f285]) ).
fof(f2408,plain,
( ~ sQ33_spl
| ~ sQ50_spl
| ~ sQ26_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2402,f72]) ).
fof(f2409,plain,
( ~ sQ33_spl
| ~ sQ50_spl
| ~ sQ26_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f2408]) ).
fof(f2410,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f1718,f1557]) ).
fof(f2411,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ55_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1718,f90]) ).
fof(f2412,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1718,f88]) ).
fof(f2413,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1718,f86]) ).
fof(f2414,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ55_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1718,f92]) ).
fof(f2415,plain,
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1627,f1235]) ).
fof(f2419,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ33_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1627,f92]) ).
fof(f2420,plain,
! [X0,X1] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_3,X1)
| ~ next(e_2,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f2410,f67]) ).
fof(f2421,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| ~ greater(e_3,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f2410,f65]) ).
fof(f2423,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2410,f88]) ).
fof(f2425,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2410,f92]) ).
fof(f2426,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| sQ125_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f2420,f950,f977,f291,f170,f331]) ).
fof(f2427,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| ~ sQ126_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2421,f123,f981,f291,f170,f331]) ).
fof(f2428,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f2415,f495]) ).
fof(f2429,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_4,X1)
| ~ next(e_3,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f2415,f67]) ).
fof(f2430,plain,
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| ~ greater(e_4,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f2415,f65]) ).
fof(f2431,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2415,f90]) ).
fof(f2432,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2415,f88]) ).
fof(f2433,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2415,f86]) ).
fof(f2434,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2415,f92]) ).
fof(f2435,plain,
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f2429,f808,f811,f216,f269,f360]) ).
fof(f2436,plain,
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| ~ sQ118_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2430,f110,f815,f216,f269,f360]) ).
fof(f2437,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2428,f90]) ).
fof(f2439,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2428,f86]) ).
fof(f2441,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2403,f2400]) ).
fof(f2443,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2405,f2400]) ).
fof(f2444,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2379,f1627]) ).
fof(f2445,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2380,f1627]) ).
fof(f2446,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2381,f1627]) ).
fof(f2447,plain,
( ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2411,f1718]) ).
fof(f2448,plain,
( ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2412,f1718]) ).
fof(f2449,plain,
( ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2413,f1718]) ).
fof(f2451,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2423,f2410]) ).
fof(f2453,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| ~ sQ47_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f807,f2410]) ).
fof(f2454,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| ~ sQ55_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f1067,f2400]) ).
fof(f2465,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2454,f90]) ).
fof(f2466,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| ~ sQ55_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2454,f88]) ).
fof(f2467,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2454,f86]) ).
fof(f2469,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1232,f2454]) ).
fof(f2471,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,f390]) ).
fof(f2476,plain,
( ~ sQ5_spl
| ~ sQ109_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f2471,f629,f625,f113]) ).
fof(f2479,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ12_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f382,f114]) ).
fof(f2480,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ12_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f382,f130]) ).
fof(f2481,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f382,f137]) ).
fof(f2482,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f382,f60]) ).
fof(f2483,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| sQ99_spl
| ~ sQ98_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f2479,f1807,f560,f563,f136,f113]) ).
fof(f2484,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sQ101_spl
| ~ sQ100_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f2480,f2312,f567,f570,f136,f129]) ).
fof(f2485,plain,
( ~ sQ12_spl
| sQ107_spl
| ~ sQ106_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f2481,f399,f596,f599,f136]) ).
fof(f2486,plain,
( ~ sQ12_spl
| sQ107_spl
| ~ sQ106_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f2482,f641,f596,f599,f136]) ).
fof(f2487,plain,
( ~ sQ32_spl
| ~ sQ26_spl
| ~ sQ59_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1027,f282,f304,f189,f213]) ).
fof(f2492,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1231,f92]) ).
fof(f2496,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2400,f92]) ).
fof(f2503,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2415,f92]) ).
fof(f2524,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ55_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1718,f92]) ).
fof(f2531,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2410,f92]) ).
fof(f2535,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| ~ sQ47_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2453,f90]) ).
fof(f2536,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2453,f88]) ).
fof(f2537,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2453,f86]) ).
fof(f2541,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1967,f1231]) ).
fof(f2544,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2379,f1627]) ).
fof(f2545,plain,
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2431,f2415]) ).
fof(f2546,plain,
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2432,f2415]) ).
fof(f2547,plain,
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2433,f2415]) ).
fof(f2548,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2437,f2428]) ).
fof(f2550,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2439,f2428]) ).
fof(f2551,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2403,f2400]) ).
fof(f2553,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2405,f2400]) ).
fof(f2554,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2465,f2454]) ).
fof(f2557,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2380,f1627]) ).
fof(f2558,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2381,f1627]) ).
fof(f2562,plain,
( ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2411,f1718]) ).
fof(f2563,plain,
( ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2412,f1718]) ).
fof(f2564,plain,
( ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2413,f1718]) ).
fof(f2566,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2423,f2410]) ).
fof(f2569,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)],[f140,f64]) ).
fof(f2570,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)],[f140,f62]) ).
fof(f2571,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_1)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f140,f58]) ).
fof(f2575,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| ~ sQ41_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f879,f2428]) ).
fof(f2576,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2575,f82]) ).
fof(f2577,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f2576]) ).
fof(f2578,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| ~ sQ56_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1055,f1627]) ).
fof(f2579,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2578,f79]) ).
fof(f2580,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f2579]) ).
fof(f2581,plain,
( sQ48_spl
| ~ sQ20_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f271,f1718]) ).
fof(f2582,plain,
( sQ48_spl
| ~ sQ20_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2581]) ).
fof(f2583,plain,
( ~ sQ60_spl
| ~ sQ29_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f1917,f183,f199,f308]) ).
fof(f2584,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ50_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1441,f90]) ).
fof(f2585,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ50_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1441,f88]) ).
fof(f2586,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ50_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1441,f86]) ).
fof(f2587,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ50_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1441,f92]) ).
fof(f2588,plain,
( ~ sQ33_spl
| ~ sQ50_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2388,f1441]) ).
fof(f2589,plain,
( ~ sQ33_spl
| ~ sQ50_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2389,f1441]) ).
fof(f2590,plain,
( ~ sQ33_spl
| ~ sQ50_spl
| ~ sQ53_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f1081,f1441]) ).
fof(f2591,plain,
( ~ sQ33_spl
| ~ sQ50_spl
| ~ sQ53_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2590,f2389]) ).
fof(f2592,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ50_spl
| ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f2590,f90]) ).
fof(f2593,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ50_spl
| ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f2590,f88]) ).
fof(f2594,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ50_spl
| ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f2590,f86]) ).
fof(f2595,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ50_spl
| ~ sQ53_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f2590,f92]) ).
fof(f2596,plain,
( ~ sQ33_spl
| ~ sQ50_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2591,f76]) ).
fof(f2597,plain,
( ~ sQ33_spl
| ~ sQ50_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f2596]) ).
fof(f2598,plain,
( ~ sQ73_spl
| ~ sQ48_spl
| ~ sQ33_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1627,f1253]) ).
fof(f2602,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ33_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1627,f92]) ).
fof(f2603,plain,
( ~ sQ73_spl
| ~ sQ48_spl
| ~ sQ33_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f2598,f255,f216,f269,f354]) ).
fof(f2604,plain,
( ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f190,f714]) ).
fof(f2605,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f190,f713]) ).
fof(f2606,plain,
( ~ sQ40_spl
| ~ sQ26_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f190,f887]) ).
fof(f2607,plain,
( ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f190,f712]) ).
fof(f2612,plain,
( ~ sQ20_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2606,f764]) ).
fof(f2614,plain,
( ~ sQ20_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2606,f762]) ).
fof(f2615,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f2606,f1313]) ).
fof(f2616,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2606,f90]) ).
fof(f2617,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2606,f88]) ).
fof(f2618,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ26_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2606,f86]) ).
fof(f2619,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ26_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2606,f92]) ).
fof(f2621,plain,
( ~ sQ69_spl
| ~ sQ20_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2615,f1851]) ).
fof(f2622,plain,
( ~ sQ77_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2615,f1166]) ).
fof(f2625,plain,
! [X0,X1] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(e_2,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f2615,f67]) ).
fof(f2626,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| ~ greater(e_2,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f2615,f65]) ).
fof(f2627,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2615,f90]) ).
fof(f2628,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2615,f88]) ).
fof(f2629,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2615,f86]) ).
fof(f2630,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2615,f92]) ).
fof(f2631,plain,
( ~ sQ77_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2622,f81]) ).
fof(f2632,plain,
( ~ sQ77_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f2631]) ).
fof(f2633,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| sQ93_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f2625,f465,f496,f189,f239,f341]) ).
fof(f2634,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| ~ sQ94_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2626,f97,f500,f189,f239,f341]) ).
fof(f2635,plain,
( ~ sQ66_spl
| ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1231,f1556]) ).
fof(f2636,plain,
( ~ sQ66_spl
| ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1231,f1555]) ).
fof(f2637,plain,
( ~ sQ66_spl
| ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1231,f1554]) ).
fof(f2639,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1231,f90]) ).
fof(f2640,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1231,f88]) ).
fof(f2641,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1231,f86]) ).
fof(f2642,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1231,f92]) ).
fof(f2643,plain,
( ~ sQ69_spl
| ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2400,f1312]) ).
fof(f2644,plain,
( ~ sQ69_spl
| ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2400,f1311]) ).
fof(f2645,plain,
( ~ sQ69_spl
| ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2400,f1310]) ).
fof(f2646,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2400,f90]) ).
fof(f2647,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f2400,f88]) ).
fof(f2648,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2400,f86]) ).
fof(f2649,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2400,f92]) ).
fof(f2656,plain,
( ~ sQ40_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1627,f886]) ).
fof(f2660,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1627,f90]) ).
fof(f2661,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1627,f88]) ).
fof(f2662,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1627,f86]) ).
fof(f2663,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ33_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1627,f92]) ).
fof(f2665,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ55_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1718,f90]) ).
fof(f2668,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ55_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1718,f92]) ).
fof(f2674,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2415,f86]) ).
fof(f2675,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2415,f92]) ).
fof(f2679,plain,
( ~ sQ62_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2410,f974]) ).
fof(f2680,plain,
( ~ sQ47_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f2410,f807]) ).
fof(f2684,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2410,f90]) ).
fof(f2685,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2410,f88]) ).
fof(f2686,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2410,f86]) ).
fof(f2687,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2410,f92]) ).
fof(f2690,plain,
( ~ sQ33_spl
| ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2428,f1630]) ).
fof(f2693,plain,
( ~ sQ33_spl
| ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2428,f1628]) ).
fof(f2706,plain,
( ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2411,f1718]) ).
fof(f2707,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| ~ sQ55_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1233,f2454]) ).
fof(f2708,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1232,f2454]) ).
fof(f2711,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ10_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ greater(e_1,e_0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f414,f140]) ).
fof(f2712,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ10_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f414,f114]) ).
fof(f2713,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f414,f130]) ).
fof(f2714,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_0,X0)
| ~ next(e_2,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f414,f60]) ).
fof(f2715,plain,
( ~ sQ13_spl
| ~ sQ10_spl
| sQ140_spl
| ~ sQ98_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f2711,f2323,f560,f1419,f129,f139]) ).
fof(f2716,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| sQ140_spl
| ~ sQ98_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f2712,f1803,f560,f1419,f129,f113]) ).
fof(f2717,plain,
( ~ sQ10_spl
| sQ127_spl
| ~ sQ100_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f2713,f428,f567,f993,f129]) ).
fof(f2718,definition,
! [X0] :
( sQ152_spl
<=> ( equalish(e_0,X0)
| ~ next(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f2719,plain,
! [X0] :
( ~ sQ152_spl
| equalish(e_0,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f2718]) ).
fof(f2721,plain,
( ~ sQ10_spl
| sQ152_spl
| ~ sQ106_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f2714,f632,f596,f2718,f129]) ).
fof(f2726,plain,
! [X0,X1,X2,X3] :
( ~ sQ8_spl
| ~ greater(X1,X3)
| ~ greater(e_2,X0)
| ~ next(e_2,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f64]) ).
fof(f2730,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f64]) ).
fof(f2731,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f124,f62]) ).
fof(f2732,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f124,f58]) ).
fof(f2738,plain,
( ~ sQ20_spl
| ~ sQ47_spl
| ~ sQ78_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f1143,f765]) ).
fof(f2743,plain,
( ~ sQ20_spl
| ~ sQ47_spl
| ~ sQ78_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f2738,f325,f370,f261,f170]) ).
fof(f2747,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1198,f92]) ).
fof(f2748,plain,
( ~ sQ47_spl
| ~ sQ78_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1199,f1143]) ).
fof(f2751,plain,
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1203,f1198]) ).
fof(f2755,plain,
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ49_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f1125,f1198]) ).
fof(f2756,plain,
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ49_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f2755,f354,f272,f370,f261,f173]) ).
fof(f2757,plain,
( ~ sQ24_spl
| ~ sQ48_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2096,f74]) ).
fof(f2758,plain,
( ~ sQ24_spl
| ~ sQ48_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f2757]) ).
fof(f2759,plain,
( sQ65_spl
| ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f330,f1198]) ).
fof(f2760,plain,
( sQ65_spl
| ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f2759]) ).
fof(f2761,plain,
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ50_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f1445,f1198]) ).
fof(f2762,plain,
( ~ sQ21_spl
| ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ50_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f2761,f357,f275,f370,f261,f173]) ).
fof(f2763,plain,
( ~ sQ40_spl
| ~ sQ26_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f2606,f170,f189,f239]) ).
fof(f2764,plain,
( ~ sQ72_spl
| ~ sQ48_spl
| ~ sQ65_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f2098,f364,f328,f269,f351]) ).
fof(f2765,plain,
( ~ sQ51_spl
| ~ sQ65_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f1569,f360,f328,f278]) ).
fof(f2766,plain,
( ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ22_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f749,f1143]) ).
fof(f2768,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2766,f90]) ).
fof(f2769,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ22_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2766,f88]) ).
fof(f2770,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f2766,f86]) ).
fof(f2771,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ22_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2766,f92]) ).
fof(f2772,plain,
( ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ22_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2768,f2766]) ).
fof(f2775,plain,
( ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ22_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1147,f2766]) ).
fof(f2776,plain,
( ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2775,f81]) ).
fof(f2777,plain,
( ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2776]) ).
fof(f2778,plain,
( ~ sQ53_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1679,f79]) ).
fof(f2779,plain,
( ~ sQ53_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f2778]) ).
fof(f2780,plain,
( ~ sQ30_spl
| ~ sQ20_spl
| ~ sQ71_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f1982,f481]) ).
fof(f2781,plain,
( ~ sQ47_spl
| ~ sQ20_spl
| ~ sQ71_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1982,f804]) ).
fof(f2782,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sQ71_spl
| equalish(e_4,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f1982,f67]) ).
fof(f2783,plain,
( ~ sQ20_spl
| ~ sQ71_spl
| ~ greater(e_4,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f1982,f65]) ).
fof(f2784,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ71_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1982,f90]) ).
fof(f2785,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1982,f88]) ).
fof(f2786,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ71_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1982,f86]) ).
fof(f2787,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ71_spl
| product(X0,e_4,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1982,f92]) ).
fof(f2788,plain,
( ~ sQ30_spl
| ~ sQ20_spl
| ~ sQ71_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f2780,f163,f347,f170,f202]) ).
fof(f2789,plain,
( ~ sQ47_spl
| ~ sQ20_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2781,f83]) ).
fof(f2790,plain,
( ~ sQ47_spl
| ~ sQ20_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f2789]) ).
fof(f2791,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ sQ5_spl
| ~ greater(X1,e_1)
| ~ greater(e_2,X0)
| ~ next(e_2,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f439,f124]) ).
fof(f2793,definition,
! [X0,X1] :
( sQ153_spl
<=> ( ~ greater(X1,e_1)
| ~ greater(e_2,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f2794,plain,
! [X0,X1] :
( ~ sQ153_spl
| ~ greater(X1,e_1)
| ~ greater(e_2,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f2793]) ).
fof(f2796,plain,
( ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ147_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f2791,f2793,f1821,f113,f123]) ).
fof(f2802,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1231,f92]) ).
fof(f2807,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ55_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1718,f92]) ).
fof(f2812,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ33_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1627,f92]) ).
fof(f2813,plain,
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f2615,f976]) ).
fof(f2819,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2615,f92]) ).
fof(f2826,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2400,f92]) ).
fof(f2838,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2410,f92]) ).
fof(f2846,plain,
( ~ sQ47_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2415,f806]) ).
fof(f2847,plain,
( ~ sQ47_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2415,f805]) ).
fof(f2849,plain,
( ~ sQ47_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2415,f804]) ).
fof(f2852,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2415,f90]) ).
fof(f2853,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2415,f88]) ).
fof(f2854,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2415,f86]) ).
fof(f2855,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2415,f92]) ).
fof(f2859,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2428,f90]) ).
fof(f2860,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2428,f88]) ).
fof(f2861,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2428,f86]) ).
fof(f2863,plain,
( ~ sQ40_spl
| ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ26_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f2813,f887]) ).
fof(f2864,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2813,f90]) ).
fof(f2865,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f2813,f88]) ).
fof(f2866,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f2813,f86]) ).
fof(f2868,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2641,f1231]) ).
fof(f2869,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2640,f1231]) ).
fof(f2870,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2639,f1231]) ).
fof(f2871,plain,
( ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2412,f1718]) ).
fof(f2872,plain,
( ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2413,f1718]) ).
fof(f2873,plain,
( ~ sQ40_spl
| ~ sQ26_spl
| ~ sQ62_spl
| ~ sQ69_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2863,f2618]) ).
fof(f2874,plain,
( ~ sQ40_spl
| ~ sQ26_spl
| ~ sQ62_spl
| ~ sQ69_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2863,f2617]) ).
fof(f2875,plain,
( ~ sQ40_spl
| ~ sQ26_spl
| ~ sQ62_spl
| ~ sQ69_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2863,f2616]) ).
fof(f2880,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ26_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2863,f92]) ).
fof(f2881,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2465,f2454]) ).
fof(f2884,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(f2885,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(f2886,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_1)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f127,f58]) ).
fof(f2889,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ5_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f440,f127]) ).
fof(f2890,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ5_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f440,f140]) ).
fof(f2891,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f440,f114]) ).
fof(f2892,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f440,f60]) ).
fof(f2893,plain,
( ~ sQ9_spl
| ~ sQ5_spl
| sQ138_spl
| ~ sQ98_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f2889,f1821,f560,f1409,f113,f126]) ).
fof(f2894,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| sQ138_spl
| ~ sQ98_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f2890,f1825,f560,f1409,f113,f139]) ).
fof(f2895,plain,
( ~ sQ5_spl
| sQ138_spl
| ~ sQ98_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f2891,f451,f560,f1409,f113]) ).
fof(f2896,definition,
! [X0] :
( sQ154_spl
<=> ( equalish(e_0,X0)
| ~ next(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f2897,plain,
! [X0] :
( ~ sQ154_spl
| equalish(e_0,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f2896]) ).
fof(f2899,plain,
( ~ sQ5_spl
| sQ154_spl
| ~ sQ106_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f2892,f625,f596,f2896,f113]) ).
fof(f2901,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| ~ sQ55_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2467,f2454]) ).
fof(f2902,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2648,f2400]) ).
fof(f2903,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2647,f2400]) ).
fof(f2904,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2646,f2400]) ).
fof(f2905,plain,
( ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2665,f1718]) ).
fof(f2906,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2629,f2615]) ).
fof(f2907,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2628,f2615]) ).
fof(f2908,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2627,f2615]) ).
fof(f2909,plain,
( ~ sQ47_spl
| ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2537,f2680]) ).
fof(f2912,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2662,f1627]) ).
fof(f2913,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2661,f1627]) ).
fof(f2914,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2660,f1627]) ).
fof(f2915,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2686,f2410]) ).
fof(f2916,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2685,f2410]) ).
fof(f2917,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2684,f2410]) ).
fof(f2918,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ10_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f130,f440]) ).
fof(f2924,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| sQ132_spl
| ~ sQ100_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f2918,f1821,f567,f1170,f129,f113]) ).
fof(f2927,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ14_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ greater(e_2,e_0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f143,f440]) ).
fof(f2933,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sQ132_spl
| ~ sQ100_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f2927,f1825,f567,f1170,f142,f113]) ).
fof(f2936,plain,
( ~ sQ5_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f441,f114]) ).
fof(f2937,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2859,f2428]) ).
fof(f2939,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2861,f2428]) ).
fof(f2940,plain,
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2864,f2813]) ).
fof(f2941,plain,
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2865,f2813]) ).
fof(f2942,plain,
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2866,f2813]) ).
fof(f2943,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f1051]) ).
fof(f2944,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f1050]) ).
fof(f2945,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f1049]) ).
fof(f2950,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f1185]) ).
fof(f2951,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f1184]) ).
fof(f2952,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f1183]) ).
fof(f2961,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f772]) ).
fof(f2962,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f771]) ).
fof(f2963,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f770]) ).
fof(f2968,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f900]) ).
fof(f2969,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f899]) ).
fof(f2970,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f898]) ).
fof(f2975,plain,
( ~ sQ88_spl
| ~ greater(e_0,e_0) ),
inference(resolution,[status(thm)],[f466,f60]) ).
fof(f2976,plain,
( ~ sQ5_spl
| ~ sQ116_spl
| ~ greater(e_1,e_0) ),
inference(resolution,[status(thm)],[f809,f114]) ).
fof(f2977,plain,
( ~ sQ5_spl
| ~ sQ116_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f2976,f560,f808,f113]) ).
fof(f2978,plain,
( ~ sQ16_spl
| ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2084,f80]) ).
fof(f2979,plain,
( ~ sQ16_spl
| ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f2978]) ).
fof(f2987,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2076,f92]) ).
fof(f2990,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2086,f90]) ).
fof(f2991,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2086,f88]) ).
fof(f2992,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2086,f86]) ).
fof(f2999,plain,
( ~ sQ57_spl
| ~ sQ21_spl
| ~ sQ55_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1063,f1050]) ).
fof(f3000,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ55_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1063,f90]) ).
fof(f3001,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1063,f88]) ).
fof(f3002,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ55_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1063,f86]) ).
fof(f3003,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ55_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1063,f92]) ).
fof(f3004,plain,
( ~ sQ57_spl
| ~ sQ21_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2999,f82]) ).
fof(f3005,plain,
( ~ sQ57_spl
| ~ sQ21_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f3004]) ).
fof(f3006,plain,
( ~ sQ45_spl
| ~ sQ63_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2077,f2075]) ).
fof(f3007,plain,
( ~ sQ45_spl
| ~ sQ63_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2078,f2075]) ).
fof(f3008,plain,
( ~ sQ45_spl
| ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2079,f2075]) ).
fof(f3009,plain,
( ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2087,f2076]) ).
fof(f3010,plain,
( ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2088,f2076]) ).
fof(f3011,plain,
( ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2089,f2076]) ).
fof(f3012,plain,
( ~ sQ65_spl
| ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2990,f2086]) ).
fof(f3013,plain,
( ~ sQ65_spl
| ~ sQ24_spl
| ~ sQ45_spl
| ~ sQ63_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2991,f2086]) ).
fof(f3015,plain,
( ~ sQ45_spl
| ~ sQ63_spl
| ~ sQ75_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1232,f2075]) ).
fof(f3016,plain,
( ~ sQ45_spl
| ~ sQ63_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3015,f78]) ).
fof(f3017,plain,
( ~ sQ45_spl
| ~ sQ63_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f3016]) ).
fof(f3018,plain,
( ~ sQ10_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f415,f130]) ).
fof(f3021,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ10_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ greater(e_2,e_0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f686,f143]) ).
fof(f3025,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| sQ127_spl
| ~ sQ100_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f3021,f2323,f567,f993,f129,f142]) ).
fof(f3029,plain,
( ~ sQ38_spl
| ~ sQ54_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1071,f233]) ).
fof(f3030,plain,
( ~ sQ38_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3029,f79]) ).
fof(f3031,plain,
( ~ sQ38_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f3030]) ).
fof(f3032,plain,
( ~ sQ14_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f379,f143]) ).
fof(f3033,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ greater(e_2,e_0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f384,f143]) ).
fof(f3034,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ14_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f384,f130]) ).
fof(f3035,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ14_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f384,f114]) ).
fof(f3036,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_0,X0)
| ~ next(e_2,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f384,f60]) ).
fof(f3037,plain,
( ~ sQ14_spl
| sQ127_spl
| ~ sQ100_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f3033,f399,f567,f993,f142]) ).
fof(f3038,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sQ127_spl
| ~ sQ100_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f3034,f2312,f567,f993,f142,f129]) ).
fof(f3039,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sQ140_spl
| ~ sQ98_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f3035,f1807,f560,f1419,f142,f113]) ).
fof(f3040,plain,
( ~ sQ14_spl
| sQ152_spl
| ~ sQ106_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f3036,f641,f596,f2718,f142]) ).
fof(f3043,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f174,f757]) ).
fof(f3044,plain,
( ~ sQ21_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f174,f756]) ).
fof(f3045,plain,
( ~ sQ52_spl
| ~ sQ21_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f174,f1088]) ).
fof(f3046,plain,
( ~ sQ21_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f174,f755]) ).
fof(f3051,plain,
( ~ sQ24_spl
| ~ sQ52_spl
| ~ sQ21_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3045,f728]) ).
fof(f3052,plain,
( ~ sQ24_spl
| ~ sQ52_spl
| ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3045,f727]) ).
fof(f3053,plain,
( ~ sQ73_spl
| ~ sQ52_spl
| ~ sQ21_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f3045,f1253]) ).
fof(f3054,plain,
( ~ sQ24_spl
| ~ sQ52_spl
| ~ sQ21_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3045,f726]) ).
fof(f3055,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ21_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f3045,f90]) ).
fof(f3056,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f3045,f88]) ).
fof(f3057,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ21_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f3045,f86]) ).
fof(f3058,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ21_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3045,f92]) ).
fof(f3059,plain,
( ~ sQ73_spl
| ~ sQ52_spl
| ~ sQ21_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f3053,f199,f173,f282,f354]) ).
fof(f3060,plain,
( ~ sQ52_spl
| ~ sQ21_spl
| ~ sQ72_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f1260,f3045]) ).
fof(f3061,plain,
( ~ sQ52_spl
| ~ sQ21_spl
| ~ sQ72_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f3060,f196,f351,f173,f282]) ).
fof(f3062,plain,
( ~ sQ52_spl
| ~ sQ21_spl
| ~ sQ74_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f1244,f3045]) ).
fof(f3063,plain,
( ~ sQ30_spl
| ~ sQ52_spl
| ~ sQ21_spl
| ~ sQ74_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3062,f480]) ).
fof(f3064,plain,
( ~ sQ30_spl
| ~ sQ52_spl
| ~ sQ21_spl
| ~ sQ74_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3062,f479]) ).
fof(f3065,plain,
( ~ sQ30_spl
| ~ sQ52_spl
| ~ sQ21_spl
| ~ sQ74_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3062,f478]) ).
fof(f3067,plain,
! [X0,X1] :
( ~ sQ52_spl
| ~ sQ21_spl
| ~ sQ74_spl
| equalish(e_3,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f3062,f67]) ).
fof(f3068,plain,
( ~ sQ52_spl
| ~ sQ21_spl
| ~ sQ74_spl
| ~ greater(e_3,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f3062,f65]) ).
fof(f3069,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ21_spl
| ~ sQ74_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f3062,f90]) ).
fof(f3070,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ21_spl
| ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f3062,f88]) ).
fof(f3071,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ21_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f3062,f86]) ).
fof(f3072,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ21_spl
| ~ sQ74_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3062,f92]) ).
fof(f3073,plain,
( ~ sQ52_spl
| ~ sQ21_spl
| ~ sQ74_spl
| sQ91_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f3067,f465,f482,f357,f173,f282]) ).
fof(f3074,plain,
( ~ sQ52_spl
| ~ sQ21_spl
| ~ sQ74_spl
| ~ sQ92_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f3068,f97,f486,f357,f173,f282]) ).
fof(f3075,plain,
( ~ sQ65_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f329,f1326]) ).
fof(f3076,plain,
( ~ sQ65_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f329,f1325]) ).
fof(f3077,plain,
( ~ sQ50_spl
| ~ sQ65_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f329,f1445]) ).
fof(f3078,plain,
( ~ sQ65_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f329,f1324]) ).
fof(f3083,plain,
( ~ sQ74_spl
| ~ sQ50_spl
| ~ sQ65_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3077,f1243]) ).
fof(f3084,plain,
( ~ sQ74_spl
| ~ sQ50_spl
| ~ sQ65_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3077,f1242]) ).
fof(f3085,plain,
( ~ sQ74_spl
| ~ sQ50_spl
| ~ sQ65_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3077,f1241]) ).
fof(f3086,plain,
( ~ sQ45_spl
| ~ sQ63_spl
| ~ sQ50_spl
| ~ sQ65_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f3077,f2080]) ).
fof(f3087,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ65_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f3077,f90]) ).
fof(f3088,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ65_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f3077,f88]) ).
fof(f3089,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ65_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f3077,f86]) ).
fof(f3090,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ65_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f3077,f92]) ).
fof(f3091,plain,
( ~ sQ71_spl
| ~ sQ45_spl
| ~ sQ63_spl
| ~ sQ50_spl
| ~ sQ65_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3086,f1301]) ).
fof(f3092,plain,
( ~ sQ71_spl
| ~ sQ45_spl
| ~ sQ63_spl
| ~ sQ50_spl
| ~ sQ65_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3086,f1300]) ).
fof(f3093,plain,
( ~ sQ71_spl
| ~ sQ45_spl
| ~ sQ63_spl
| ~ sQ50_spl
| ~ sQ65_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3086,f1299]) ).
fof(f3095,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ63_spl
| ~ sQ50_spl
| ~ sQ65_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3086,f90]) ).
fof(f3096,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ63_spl
| ~ sQ50_spl
| ~ sQ65_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f3086,f88]) ).
fof(f3097,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ63_spl
| ~ sQ50_spl
| ~ sQ65_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f3086,f86]) ).
fof(f3098,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ63_spl
| ~ sQ50_spl
| ~ sQ65_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3086,f92]) ).
fof(f3099,plain,
( ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f318,f948]) ).
fof(f3100,plain,
( ~ sQ63_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f318,f947]) ).
fof(f3101,plain,
( ~ sQ63_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f318,f946]) ).
fof(f3102,plain,
( ~ sQ30_spl
| ~ sQ63_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f318,f481]) ).
fof(f3111,plain,
( ~ sQ50_spl
| ~ sQ30_spl
| ~ sQ63_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3102,f1444]) ).
fof(f3112,plain,
( ~ sQ50_spl
| ~ sQ30_spl
| ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3102,f1443]) ).
fof(f3113,plain,
( ~ sQ50_spl
| ~ sQ30_spl
| ~ sQ63_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3102,f1442]) ).
fof(f3114,plain,
( ~ sQ32_spl
| ~ sQ30_spl
| ~ sQ63_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f3102,f940]) ).
fof(f3115,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ63_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f3102,f90]) ).
fof(f3116,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f3102,f88]) ).
fof(f3117,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f3102,f86]) ).
fof(f3118,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ63_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f3102,f92]) ).
fof(f3119,plain,
( ~ sQ52_spl
| ~ sQ32_spl
| ~ sQ30_spl
| ~ sQ63_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3114,f1087]) ).
fof(f3120,plain,
( ~ sQ52_spl
| ~ sQ32_spl
| ~ sQ30_spl
| ~ sQ63_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3114,f1086]) ).
fof(f3121,plain,
( ~ sQ52_spl
| ~ sQ32_spl
| ~ sQ30_spl
| ~ sQ63_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3114,f1085]) ).
fof(f3123,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ30_spl
| ~ sQ63_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3114,f90]) ).
fof(f3124,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ30_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f3114,f88]) ).
fof(f3125,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ30_spl
| ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f3114,f86]) ).
fof(f3126,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ30_spl
| ~ sQ63_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f3114,f92]) ).
fof(f3127,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f772]) ).
fof(f3128,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f771]) ).
fof(f3129,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f770]) ).
fof(f3134,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f1051]) ).
fof(f3135,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f1050]) ).
fof(f3136,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f1049]) ).
fof(f3141,plain,
( ~ sQ10_spl
| ~ sQ123_spl
| ~ greater(e_2,e_0) ),
inference(resolution,[status(thm)],[f951,f130]) ).
fof(f3142,plain,
( ~ sQ10_spl
| ~ sQ123_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f3141,f567,f950,f129]) ).
fof(f3146,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)],[f140,f64]) ).
fof(f3147,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)],[f140,f62]) ).
fof(f3148,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_1)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f140,f58]) ).
fof(f3152,plain,
( ~ sQ123_spl
| ~ sQ9_spl
| ~ greater(e_1,e_0) ),
inference(resolution,[status(thm)],[f127,f951]) ).
fof(f3156,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(f3157,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(f3158,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_1)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f127,f58]) ).
fof(f3159,plain,
( ~ sQ123_spl
| ~ sQ9_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3152,f560,f126,f950]) ).
fof(f3163,plain,
( ~ sQ123_spl
| ~ sQ11_spl
| ~ greater(e_3,e_0) ),
inference(resolution,[status(thm)],[f133,f951]) ).
fof(f3164,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ11_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f133,f440]) ).
fof(f3167,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(f3168,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(f3169,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f133,f58]) ).
fof(f3170,plain,
( ~ sQ123_spl
| ~ sQ11_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3163,f574,f132,f950]) ).
fof(f3171,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| sQ130_spl
| ~ sQ102_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f3164,f1821,f574,f1153,f132,f113]) ).
fof(f3177,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(f3178,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(f3179,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_1)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f127,f58]) ).
fof(f3183,plain,
( ~ sQ13_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f380,f140]) ).
fof(f3184,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ13_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f383,f127]) ).
fof(f3185,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f383,f140]) ).
fof(f3186,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ13_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f383,f114]) ).
fof(f3187,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f383,f60]) ).
fof(f3188,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sQ138_spl
| ~ sQ98_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f3184,f2312,f560,f1409,f139,f126]) ).
fof(f3189,plain,
( ~ sQ13_spl
| sQ138_spl
| ~ sQ98_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f3185,f399,f560,f1409,f139]) ).
fof(f3190,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sQ138_spl
| ~ sQ98_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f3186,f1807,f560,f1409,f139,f113]) ).
fof(f3191,plain,
( ~ sQ13_spl
| sQ154_spl
| ~ sQ106_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f3187,f641,f596,f2896,f139]) ).
fof(f3194,plain,
( ~ sQ138_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1410,f44]) ).
fof(f3195,plain,
( ~ sQ138_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3194,f72]) ).
fof(f3196,plain,
~ sQ138_spl,
inference(contradiction_clause,[status(thm)],[f3195]) ).
fof(f3202,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_2)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f130,f58]) ).
fof(f3209,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(f3210,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(f3211,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_2)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f143,f58]) ).
fof(f3215,plain,
( ~ sQ10_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f415,f130]) ).
fof(f3216,plain,
( ~ sQ14_spl
| ~ sQ129_spl
| ~ greater(e_2,e_0) ),
inference(resolution,[status(thm)],[f1151,f143]) ).
fof(f3217,plain,
( ~ sQ14_spl
| ~ sQ129_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f3216,f567,f1150,f142]) ).
fof(f3218,plain,
( ~ sQ129_spl
| ~ sQ13_spl
| ~ greater(e_1,e_0) ),
inference(resolution,[status(thm)],[f140,f1151]) ).
fof(f3222,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)],[f140,f64]) ).
fof(f3223,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)],[f140,f62]) ).
fof(f3224,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_1)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f140,f58]) ).
fof(f3225,plain,
( ~ sQ129_spl
| ~ sQ13_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3218,f560,f139,f1150]) ).
fof(f3232,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(f3233,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(f3234,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f133,f58]) ).
fof(f3238,plain,
( ~ sQ129_spl
| ~ sQ12_spl
| ~ greater(e_0,e_0) ),
inference(resolution,[status(thm)],[f137,f1151]) ).
fof(f3239,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ12_spl
| ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ next(e_1,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f137,f439]) ).
fof(f3243,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ12_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f137,f440]) ).
fof(f3250,definition,
! [X0,X1] :
( sQ155_spl
<=> ( ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f3251,plain,
! [X0,X1] :
( ~ sQ155_spl
| ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f3250]) ).
fof(f3253,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| ~ sQ148_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f3239,f3250,f1825,f136,f113]) ).
fof(f3256,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| sQ154_spl
| ~ sQ106_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f3243,f1825,f596,f2896,f136,f113]) ).
fof(f3260,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)],[f410,f137]) ).
fof(f3262,definition,
! [X0,X1] :
( sQ156_spl
<=> ( ~ greater(X1,e_3)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f3263,plain,
! [X0,X1] :
( ~ sQ156_spl
| ~ greater(X1,e_3)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f3262]) ).
fof(f3265,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ151_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f3260,f3262,f2323,f132,f136]) ).
fof(f3267,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ11_spl
| equalish(e_0,X0)
| ~ next(e_3,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f411,f137]) ).
fof(f3268,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,X0)
| ~ next(e_3,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f411,f133]) ).
fof(f3269,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ11_spl
| equalish(e_1,X0)
| ~ next(e_3,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f411,f114]) ).
fof(f3270,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_0,X0)
| ~ next(e_3,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f411,f60]) ).
fof(f3271,definition,
! [X0] :
( sQ157_spl
<=> ( equalish(e_0,X0)
| ~ next(e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f3272,plain,
! [X0] :
( ~ sQ157_spl
| equalish(e_0,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f3271]) ).
fof(f3274,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| sQ157_spl
| ~ sQ106_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f3267,f2323,f596,f3271,f132,f136]) ).
fof(f3275,plain,
( ~ sQ11_spl
| sQ119_spl
| ~ sQ102_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f3268,f428,f574,f827,f132]) ).
fof(f3276,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| sQ139_spl
| ~ sQ98_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f3269,f1803,f560,f1414,f132,f113]) ).
fof(f3277,plain,
( ~ sQ11_spl
| sQ157_spl
| ~ sQ106_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f3270,f632,f596,f3271,f132]) ).
fof(f3278,plain,
( ~ sQ121_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f842,f46]) ).
fof(f3279,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3278,f77]) ).
fof(f3280,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f3279]) ).
fof(f3281,plain,
( ~ sQ63_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f2615,f949]) ).
fof(f3284,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2615,f90]) ).
fof(f3287,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2615,f92]) ).
fof(f3288,plain,
( ~ sQ63_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f3281,f192,f189,f239,f341,f317]) ).
fof(f3291,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f2410,f314,f291,f170,f331]) ).
fof(f3292,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f1718,f1557]) ).
fof(f3296,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ55_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1718,f92]) ).
fof(f3301,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1231,f92]) ).
fof(f3306,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ33_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1627,f92]) ).
fof(f3307,plain,
( ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2412,f1718]) ).
fof(f3308,plain,
( ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2413,f1718]) ).
fof(f3309,plain,
( ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2665,f1718]) ).
fof(f3322,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2615,f90]) ).
fof(f3325,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2615,f92]) ).
fof(f3332,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2400,f92]) ).
fof(f3333,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2641,f1231]) ).
fof(f3334,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2640,f1231]) ).
fof(f3335,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2639,f1231]) ).
fof(f3351,plain,
( ~ sQ20_spl
| ~ sQ40_spl
| ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2863,f764]) ).
fof(f3352,plain,
( ~ sQ20_spl
| ~ sQ40_spl
| ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2863,f763]) ).
fof(f3353,plain,
( ~ sQ40_spl
| ~ sQ26_spl
| ~ sQ62_spl
| ~ sQ69_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2863,f2616]) ).
fof(f3356,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2863,f88]) ).
fof(f3357,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ26_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2863,f86]) ).
fof(f3358,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ26_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2863,f92]) ).
fof(f3364,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2415,f86]) ).
fof(f3365,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2415,f92]) ).
fof(f3379,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3292,f92]) ).
fof(f3382,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2662,f1627]) ).
fof(f3383,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2661,f1627]) ).
fof(f3384,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2660,f1627]) ).
fof(f3387,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| ~ sQ20_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1850,f2615]) ).
fof(f3388,plain,
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f806,f2415]) ).
fof(f3389,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ15_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ greater(e_3,e_0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f146,f440]) ).
fof(f3395,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| sQ130_spl
| ~ sQ102_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f3389,f1825,f574,f1153,f145,f113]) ).
fof(f3400,plain,
( ~ sQ66_spl
| ~ sQ20_spl
| ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2685,f3292]) ).
fof(f3402,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2629,f2615]) ).
fof(f3403,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2628,f2615]) ).
fof(f3404,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2465,f2454]) ).
fof(f3405,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| ~ sQ55_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2466,f2454]) ).
fof(f3406,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| ~ sQ55_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2467,f2454]) ).
fof(f3407,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2648,f2400]) ).
fof(f3408,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2647,f2400]) ).
fof(f3409,plain,
( ~ sQ26_spl
| ~ sQ75_spl
| ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2646,f2400]) ).
fof(f3410,plain,
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2864,f2813]) ).
fof(f3411,plain,
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2865,f2813]) ).
fof(f3412,plain,
( ~ sQ62_spl
| ~ sQ69_spl
| ~ sQ40_spl
| ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2866,f2813]) ).
fof(f3413,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2859,f2428]) ).
fof(f3414,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2860,f2428]) ).
fof(f3415,plain,
( ~ sQ29_spl
| ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2861,f2428]) ).
fof(f3416,plain,
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2853,f2415]) ).
fof(f3417,plain,
( ~ sQ75_spl
| ~ sQ48_spl
| ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2852,f2415]) ).
fof(f3420,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ10_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ greater(e_3,e_0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f686,f146]) ).
fof(f3424,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| sQ125_spl
| ~ sQ102_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f3420,f2323,f574,f977,f129,f145]) ).
fof(f3428,plain,
( ~ sQ10_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3202,f130]) ).
fof(f3429,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f1185]) ).
fof(f3430,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f1184]) ).
fof(f3431,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f1183]) ).
fof(f3440,plain,
( ~ sQ15_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f378,f146]) ).
fof(f3441,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_3,X0)
| ~ next(e_3,X0)
| ~ greater(e_3,e_0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f385,f146]) ).
fof(f3442,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ15_spl
| equalish(e_2,X0)
| ~ next(e_3,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f385,f130]) ).
fof(f3443,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ15_spl
| equalish(e_1,X0)
| ~ next(e_3,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f385,f114]) ).
fof(f3444,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_0,X0)
| ~ next(e_3,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f385,f60]) ).
fof(f3445,plain,
( ~ sQ15_spl
| sQ119_spl
| ~ sQ102_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f3441,f399,f574,f827,f145]) ).
fof(f3446,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sQ121_spl
| ~ sQ100_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f3442,f2312,f567,f841,f145,f129]) ).
fof(f3447,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| sQ139_spl
| ~ sQ98_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f3443,f1807,f560,f1414,f145,f113]) ).
fof(f3448,plain,
( ~ sQ15_spl
| sQ157_spl
| ~ sQ106_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f3444,f641,f596,f3271,f145]) ).
fof(f3451,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f772]) ).
fof(f3452,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f771]) ).
fof(f3453,plain,
( ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f770]) ).
fof(f3458,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f900]) ).
fof(f3459,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f899]) ).
fof(f3460,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f898]) ).
fof(f3465,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f1051]) ).
fof(f3466,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f1050]) ).
fof(f3467,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f1049]) ).
fof(f3472,plain,
( ~ sQ127_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f994,f45]) ).
fof(f3473,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3472,f76]) ).
fof(f3474,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f3473]) ).
fof(f3475,plain,
( ~ sQ132_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1171,f44]) ).
fof(f3476,plain,
( ~ sQ117_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f812,f46]) ).
fof(f3477,plain,
( ~ sQ119_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f828,f46]) ).
fof(f3478,plain,
( ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3477,f80]) ).
fof(f3479,plain,
~ sQ119_spl,
inference(contradiction_clause,[status(thm)],[f3478]) ).
fof(f3480,plain,
( ~ sQ125_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f978,f45]) ).
fof(f3481,plain,
( ~ sQ15_spl
| ~ sQ129_spl
| ~ greater(e_3,e_0) ),
inference(resolution,[status(thm)],[f1151,f146]) ).
fof(f3482,plain,
( ~ sQ15_spl
| ~ sQ129_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3481,f574,f1150,f145]) ).
fof(f3483,plain,
( ~ sQ129_spl
| ~ sQ12_spl
| ~ greater(e_0,e_0) ),
inference(resolution,[status(thm)],[f137,f1151]) ).
fof(f3484,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ12_spl
| ~ greater(X1,e_2)
| ~ greater(e_1,X0)
| ~ next(e_1,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f137,f685]) ).
fof(f3489,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ12_spl
| equalish(e_0,X0)
| ~ next(e_2,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f137,f686]) ).
fof(f3497,definition,
! [X0,X1] :
( sQ158_spl
<=> ( ~ greater(X1,e_2)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f3498,plain,
! [X0,X1] :
( ~ sQ158_spl
| ~ greater(X1,e_2)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f3497]) ).
fof(f3500,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| ~ sQ151_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f3484,f3497,f2323,f136,f129]) ).
fof(f3504,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sQ152_spl
| ~ sQ106_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f3489,f2323,f596,f2718,f136,f129]) ).
fof(f3510,plain,
( ~ sQ12_spl
| ~ sQ158_spl
| ~ greater(e_0,e_2)
| ~ greater(e_1,e_1) ),
inference(resolution,[status(thm)],[f3498,f137]) ).
fof(f3511,plain,
( ~ sQ10_spl
| ~ sQ158_spl
| ~ greater(e_2,e_2)
| ~ greater(e_1,e_2) ),
inference(resolution,[status(thm)],[f3498,f130]) ).
fof(f3512,plain,
( ~ sQ5_spl
| ~ sQ158_spl
| ~ greater(e_1,e_2)
| ~ greater(e_1,e_3) ),
inference(resolution,[status(thm)],[f3498,f114]) ).
fof(f3513,plain,
( ~ sQ158_spl
| ~ greater(e_0,e_2)
| ~ greater(e_1,e_4) ),
inference(resolution,[status(thm)],[f3498,f60]) ).
fof(f3514,plain,
( ~ sQ12_spl
| ~ sQ158_spl
| ~ sQ142_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f3510,f1344,f1696,f3497,f136]) ).
fof(f3515,plain,
( ~ sQ10_spl
| ~ sQ158_spl
| ~ sQ128_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f3511,f1340,f997,f3497,f129]) ).
fof(f3516,plain,
( ~ sQ5_spl
| ~ sQ158_spl
| ~ sQ136_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f3512,f1336,f1340,f3497,f113]) ).
fof(f3517,plain,
( ~ sQ158_spl
| ~ sQ142_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f3513,f514,f1696,f3497]) ).
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
| ~ sQ18_spl
| sQ19_spl
| sQ20_spl
| ~ sQ21_spl
| ~ sQ23_spl
| ~ sQ24_spl
| ~ sQ25_spl
| sQ26_spl
| ~ sQ27_spl
| ~ sQ28_spl
| sQ29_spl
| ~ sQ30_spl
| ~ sQ32_spl
| sQ33_spl
| ~ sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| sQ38_spl
| ~ sQ39_spl
| sQ40_spl
| ~ sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| sQ47_spl
| sQ48_spl
| ~ sQ50_spl
| ~ sQ51_spl
| ~ sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| sQ55_spl
| ~ sQ56_spl
| sQ57_spl
| ~ sQ58_spl
| ~ sQ59_spl
| ~ sQ60_spl
| ~ sQ61_spl
| sQ62_spl
| ~ sQ63_spl
| ~ sQ64_spl
| ~ sQ65_spl
| sQ66_spl
| ~ sQ67_spl
| ~ sQ68_spl
| sQ69_spl
| ~ sQ70_spl
| ~ sQ71_spl
| ~ sQ73_spl
| ~ sQ74_spl
| sQ75_spl
| sQ76_spl
| ~ sQ77_spl
| ~ sQ78_spl
| ~ sQ79_spl
| ~ sQ81_spl
| ~ sQ83_spl
| ~ sQ85_spl
| ~ sQ86_spl
| ~ sQ87_spl
| sQ88_spl
| ~ sQ90_spl
| ~ sQ94_spl
| sQ97_spl
| sQ98_spl
| sQ99_spl
| sQ100_spl
| ~ sQ101_spl
| sQ102_spl
| ~ sQ103_spl
| ~ sQ104_spl
| ~ sQ105_spl
| ~ sQ106_spl
| ~ sQ109_spl
| ~ sQ111_spl
| ~ sQ113_spl
| sQ114_spl
| sQ115_spl
| ~ sQ116_spl
| sQ117_spl
| sQ118_spl
| ~ sQ119_spl
| ~ sQ121_spl
| ~ sQ123_spl
| sQ125_spl
| sQ126_spl
| ~ sQ127_spl
| ~ sQ128_spl
| sQ129_spl
| sQ131_spl
| sQ132_spl
| sQ133_spl
| ~ sQ136_spl
| ~ sQ137_spl
| ~ sQ138_spl
| ~ sQ142_spl
| ~ sQ145_spl
| sQ147_spl
| ~ sQ148_spl
| ~ sQ150_spl
| sQ151_spl
| sQ158_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP128-3.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n009.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 20 20:00:48 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.39 % Drodi V4.1.1
% 5.65/6.18 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 5.65/6.18 % SZS output start Saturation for theBenchmark
% See solution above
% 5.65/6.22 % Elapsed time: 0.834005 seconds
% 5.65/6.22 % CPU time: 6.226092 seconds
% 5.65/6.22 % Total memory used: 28.973 MB
% 5.65/6.22 % Net memory used: 28.032 MB
%------------------------------------------------------------------------------