%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP123-2.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 12:35:41 PM UTC 2026
% Result : Satisfiable 27.01s 4.05s
% Output : Saturation 2.47s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
next(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
greater(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
greater(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
greater(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y,X1] :
( ~ greater(Y,X1)
| ~ next(X,X1)
| ~ product(X,e_1,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X,Y] :
( product(X,Y,e_5)
| product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
! [X1,Y1,Z1,X2,Y2,Z2] :
( equalish(X1,X2)
| ~ product(Z2,Y2,X2)
| ~ product(Z2,Y1,X1)
| ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
! [X1,Y1,Z1,X2,Y2,Z2] :
( equalish(Y1,Y2)
| ~ product(Z2,Y2,X2)
| ~ product(Z2,Y1,X1)
| ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,plain,
next(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f49,plain,
next(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
next(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f51,plain,
next(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f52,plain,
greater(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f53,plain,
greater(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f54,plain,
greater(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f55,plain,
greater(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f56,plain,
greater(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f57,plain,
greater(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f58,plain,
greater(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f59,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f60,plain,
greater(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f61,plain,
greater(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f62,plain,
! [Y,X1] :
( ~ greater(Y,X1)
| ! [X] :
( ~ next(X,X1)
| ~ product(X,e_1,Y) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f65,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f66,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f67,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f68,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f69,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f70,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f71,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f72,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f73,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f74,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f75,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f76,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f77,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f78,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f79,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f80,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f81,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f82,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f83,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f84,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f85,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f86,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f87,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f88,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f89,plain,
! [X0,X1] :
( product(X0,X1,e_5)
| product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f90,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f92,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f93,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f94,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f96,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f97,plain,
! [X1,X2] :
( equalish(X1,X2)
| ! [Y2,Z2] :
( ~ product(Z2,Y2,X2)
| ! [Y1] :
( ~ product(Z2,Y1,X1)
| ! [Z1] :
( ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ) ) ) ),
inference(miniscoping,[status(thm)],[f46]) ).
fof(f98,plain,
! [X0,X1,X2,X3,X4,X5] :
( equalish(X0,X3)
| ~ product(X5,X4,X3)
| ~ product(X5,X1,X0)
| ~ product(X3,X4,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f99,plain,
! [Y1,Y2] :
( equalish(Y1,Y2)
| ! [X2,Z2] :
( ~ product(Z2,Y2,X2)
| ! [X1] :
( ~ product(Z2,Y1,X1)
| ! [Z1] :
( ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ) ) ) ),
inference(miniscoping,[status(thm)],[f47]) ).
fof(f100,plain,
! [X0,X1,X2,X3,X4,X5] :
( equalish(X1,X4)
| ~ product(X5,X4,X3)
| ~ product(X5,X1,X0)
| ~ product(X3,X4,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f96,f91]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X1)
| ~ product(X3,X1,X0)
| ~ product(X3,X2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f96,f100]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X0)
| ~ product(X3,X1,X0)
| ~ product(X3,X2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f96,f98]) ).
fof(f105,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f93,f96]) ).
fof(f106,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f95,f96]) ).
fof(f107,plain,
! [X0,X1] :
( equalish(X1,X1)
| ~ product(X0,X1,X1)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f102,f96]) ).
fof(f108,plain,
! [X0,X1] :
( equalish(X1,X1)
| ~ product(X0,X1,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f107]) ).
fof(f111,plain,
! [X0] :
( product(e_3,X0,e_5)
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f89,f66]) ).
fof(f112,plain,
! [X0] :
( product(e_2,X0,e_5)
| product(e_2,X0,e_4)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f89,f65]) ).
fof(f113,plain,
! [X0] :
( product(e_1,X0,e_5)
| product(e_1,X0,e_4)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f89,f64]) ).
fof(f114,plain,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f111,f66]) ).
fof(f115,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f111,f65]) ).
fof(f116,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f111,f64]) ).
fof(f117,definition,
( sQ0_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ0_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,definition,
( sQ1_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( ~ sQ1_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,definition,
( sQ2_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f126,definition,
( sQ3_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f127,plain,
( ~ sQ3_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f128,plain,
( sQ3_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,definition,
( sQ4_spl
<=> product(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ4_spl
| product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f131,plain,
( sQ4_spl
| ~ product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f114,f117,f120,f123,f126,f129]) ).
fof(f133,definition,
( sQ5_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ5_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f135,plain,
( sQ5_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,definition,
( sQ6_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ6_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f138,plain,
( sQ6_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,definition,
( sQ7_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( ~ sQ7_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f141,plain,
( sQ7_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,definition,
( sQ8_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( ~ sQ8_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f144,plain,
( sQ8_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f145,definition,
( sQ9_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ9_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f147,plain,
( sQ9_spl
| ~ product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f115,f133,f136,f139,f142,f145]) ).
fof(f149,definition,
( sQ10_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ10_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f151,plain,
( sQ10_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,definition,
( sQ11_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( ~ sQ11_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f154,plain,
( sQ11_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,definition,
( sQ12_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( ~ sQ12_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f157,plain,
( sQ12_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,definition,
( sQ13_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( ~ sQ13_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f160,plain,
( sQ13_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,definition,
( sQ14_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( ~ sQ14_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f163,plain,
( sQ14_spl
| ~ product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f116,f149,f152,f155,f158,f161]) ).
fof(f165,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f112,f66]) ).
fof(f166,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f112,f65]) ).
fof(f167,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f112,f64]) ).
fof(f168,definition,
( sQ15_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( ~ sQ15_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f170,plain,
( sQ15_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,definition,
( sQ16_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f172,plain,
( ~ sQ16_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f173,plain,
( sQ16_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,definition,
( sQ17_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ17_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f176,plain,
( sQ17_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,definition,
( sQ18_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ18_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f179,plain,
( sQ18_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,definition,
( sQ19_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( ~ sQ19_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f182,plain,
( sQ19_spl
| ~ product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f165,f168,f171,f174,f177,f180]) ).
fof(f184,definition,
( sQ20_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( ~ sQ20_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f186,plain,
( sQ20_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,definition,
( sQ21_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f190,definition,
( sQ22_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( ~ sQ22_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,definition,
( sQ23_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( ~ sQ23_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f195,plain,
( sQ23_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,definition,
( sQ24_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ24_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f198,plain,
( sQ24_spl
| ~ product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f166,f184,f187,f190,f193,f196]) ).
fof(f200,definition,
( sQ25_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ25_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f202,plain,
( sQ25_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,definition,
( sQ26_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ26_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f205,plain,
( sQ26_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,definition,
( sQ27_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ27_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f208,plain,
( sQ27_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,definition,
( sQ28_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ28_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f211,plain,
( sQ28_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,definition,
( sQ29_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ29_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f214,plain,
( sQ29_spl
| ~ product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f167,f200,f203,f206,f209,f212]) ).
fof(f216,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f113,f66]) ).
fof(f217,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f113,f65]) ).
fof(f218,plain,
( product(e_1,e_1,e_5)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f113,f64]) ).
fof(f219,definition,
( sQ30_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ30_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f221,plain,
( sQ30_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,definition,
( sQ31_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ31_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f224,plain,
( sQ31_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,definition,
( sQ32_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ32_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f227,plain,
( sQ32_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,definition,
( sQ33_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ33_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f230,plain,
( sQ33_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,definition,
( sQ34_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ34_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f233,plain,
( sQ34_spl
| ~ product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f216,f219,f222,f225,f228,f231]) ).
fof(f235,definition,
( sQ35_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ35_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f237,plain,
( sQ35_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,definition,
( sQ36_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ36_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f240,plain,
( sQ36_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
( sQ37_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ37_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f243,plain,
( sQ37_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,definition,
( sQ38_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ38_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f246,plain,
( sQ38_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
( sQ39_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( ~ sQ39_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f249,plain,
( sQ39_spl
| ~ product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f217,f235,f238,f241,f244,f247]) ).
fof(f251,definition,
( sQ40_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f254,definition,
( sQ41_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ41_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,definition,
( sQ42_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( ~ sQ42_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f259,plain,
( sQ42_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,definition,
( sQ43_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ43_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f262,plain,
( sQ43_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,definition,
( sQ44_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ44_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f265,plain,
( sQ44_spl
| ~ product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f218,f251,f254,f257,f260,f263]) ).
fof(f267,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f108,f96]) ).
fof(f270,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f67,f113]) ).
fof(f271,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f67,f112]) ).
fof(f272,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f67,f111]) ).
fof(f273,plain,
! [X0] :
( product(e_4,X0,e_5)
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f67,f89]) ).
fof(f274,definition,
( sQ45_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f275,plain,
( ~ sQ45_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f276,plain,
( sQ45_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f277,definition,
( sQ46_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f278,plain,
( ~ sQ46_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f279,plain,
( sQ46_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,definition,
( sQ47_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( ~ sQ47_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f282,plain,
( sQ47_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,definition,
( sQ48_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ48_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f285,plain,
( sQ48_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,definition,
( sQ49_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ49_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f288,plain,
( sQ49_spl
| ~ product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f270,f274,f277,f280,f283,f286]) ).
fof(f290,definition,
( sQ50_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( ~ sQ50_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f292,plain,
( sQ50_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,definition,
( sQ51_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( ~ sQ51_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f295,plain,
( sQ51_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f296,definition,
( sQ52_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f297,plain,
( ~ sQ52_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f298,plain,
( sQ52_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,definition,
( sQ53_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f300,plain,
( ~ sQ53_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f301,plain,
( sQ53_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,definition,
( sQ54_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ54_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( sQ54_spl
| ~ product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f271,f290,f293,f296,f299,f302]) ).
fof(f306,definition,
( sQ55_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( ~ sQ55_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f308,plain,
( sQ55_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,definition,
( sQ56_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( ~ sQ56_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f311,plain,
( sQ56_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,definition,
( sQ57_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f313,plain,
( ~ sQ57_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f314,plain,
( sQ57_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,definition,
( sQ58_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( ~ sQ58_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f317,plain,
( sQ58_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,definition,
( sQ59_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ59_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f320,plain,
( sQ59_spl
| ~ product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f272,f306,f309,f312,f315,f318]) ).
fof(f322,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f273,f67]) ).
fof(f323,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f273,f66]) ).
fof(f324,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f273,f65]) ).
fof(f325,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f273,f64]) ).
fof(f326,definition,
( sQ60_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ60_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f328,plain,
( sQ60_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,definition,
( sQ61_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( ~ sQ61_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,definition,
( sQ62_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f333,plain,
( ~ sQ62_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,definition,
( sQ63_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f338,definition,
( sQ64_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( ~ sQ64_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f340,plain,
( sQ64_spl
| ~ product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f322,f326,f329,f332,f335,f338]) ).
fof(f342,definition,
( sQ65_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( ~ sQ65_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f344,plain,
( sQ65_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,definition,
( sQ66_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ66_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f347,plain,
( sQ66_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,definition,
( sQ67_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ67_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f350,plain,
( sQ67_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,definition,
( sQ68_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( ~ sQ68_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f353,plain,
( sQ68_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,definition,
( sQ69_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ69_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f356,plain,
( sQ69_spl
| ~ product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f323,f342,f345,f348,f351,f354]) ).
fof(f358,definition,
( sQ70_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( ~ sQ70_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f360,plain,
( sQ70_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,definition,
( sQ71_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ71_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f363,plain,
( sQ71_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,definition,
( sQ72_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ72_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f366,plain,
( sQ72_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,definition,
( sQ73_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ73_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f369,plain,
( sQ73_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,definition,
( sQ74_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ74_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f372,plain,
( sQ74_spl
| ~ product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f324,f358,f361,f364,f367,f370]) ).
fof(f374,definition,
( sQ75_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( ~ sQ75_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f376,plain,
( sQ75_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,definition,
( sQ76_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( ~ sQ76_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f379,plain,
( sQ76_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,definition,
( sQ77_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ77_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f382,plain,
( sQ77_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ78_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ78_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f385,plain,
( sQ78_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
( sQ79_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ79_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f388,plain,
( sQ79_spl
| ~ product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f325,f374,f377,f380,f383,f386]) ).
fof(f390,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f68,f273]) ).
fof(f391,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f68,f113]) ).
fof(f392,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f68,f112]) ).
fof(f393,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f68,f111]) ).
fof(f394,plain,
! [X0] :
( product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f68,f89]) ).
fof(f395,definition,
( sQ80_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ80_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f397,plain,
( sQ80_spl
| ~ product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ81_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ81_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f400,plain,
( sQ81_spl
| ~ product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
( sQ82_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( ~ sQ82_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f403,plain,
( sQ82_spl
| ~ product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,definition,
( sQ83_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ83_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f406,plain,
( sQ83_spl
| ~ product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,definition,
( sQ84_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ84_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f409,plain,
( sQ84_spl
| ~ product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f390,f395,f398,f401,f404,f407]) ).
fof(f411,definition,
( sQ85_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ85_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f413,plain,
( sQ85_spl
| ~ product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ86_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ86_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f416,plain,
( sQ86_spl
| ~ product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,definition,
( sQ87_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( ~ sQ87_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f419,plain,
( sQ87_spl
| ~ product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,definition,
( sQ88_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f421,plain,
( ~ sQ88_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f422,plain,
( sQ88_spl
| ~ product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,definition,
( sQ89_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f424,plain,
( ~ sQ89_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f425,plain,
( sQ89_spl
| ~ product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f391,f411,f414,f417,f420,f423]) ).
fof(f427,definition,
( sQ90_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ90_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f429,plain,
( sQ90_spl
| ~ product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ91_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ91_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f432,plain,
( sQ91_spl
| ~ product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,definition,
( sQ92_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( ~ sQ92_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f435,plain,
( sQ92_spl
| ~ product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,definition,
( sQ93_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( ~ sQ93_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f438,plain,
( sQ93_spl
| ~ product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,definition,
( sQ94_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( ~ sQ94_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f441,plain,
( sQ94_spl
| ~ product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f392,f427,f430,f433,f436,f439]) ).
fof(f443,definition,
( sQ95_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ95_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f445,plain,
( sQ95_spl
| ~ product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ96_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ96_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f448,plain,
( sQ96_spl
| ~ product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,definition,
( sQ97_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ97_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f451,plain,
( sQ97_spl
| ~ product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
( sQ98_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ98_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f454,plain,
( sQ98_spl
| ~ product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,definition,
( sQ99_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ99_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f457,plain,
( sQ99_spl
| ~ product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f393,f443,f446,f449,f452,f455]) ).
fof(f459,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f394,f68]) ).
fof(f460,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f394,f67]) ).
fof(f461,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f394,f66]) ).
fof(f462,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f394,f65]) ).
fof(f463,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f394,f64]) ).
fof(f464,definition,
( sQ100_spl
<=> product(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( ~ sQ100_spl
| product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,definition,
( sQ101_spl
<=> product(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ101_spl
| product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,definition,
( sQ102_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ102_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,definition,
( sQ103_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ103_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,definition,
( sQ104_spl
<=> product(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f459,f464,f467,f470,f473,f476]) ).
fof(f480,definition,
( sQ105_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ105_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f482,plain,
( sQ105_spl
| ~ product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,definition,
( sQ106_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( ~ sQ106_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f485,plain,
( sQ106_spl
| ~ product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,definition,
( sQ107_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( ~ sQ107_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f488,plain,
( sQ107_spl
| ~ product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,definition,
( sQ108_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ108_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f491,plain,
( sQ108_spl
| ~ product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,definition,
( sQ109_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( ~ sQ109_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f494,plain,
( sQ109_spl
| ~ product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f460,f480,f483,f486,f489,f492]) ).
fof(f496,definition,
( sQ110_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( ~ sQ110_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f498,plain,
( sQ110_spl
| ~ product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,definition,
( sQ111_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ111_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f501,plain,
( sQ111_spl
| ~ product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,definition,
( sQ112_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ112_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f504,plain,
( sQ112_spl
| ~ product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,definition,
( sQ113_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( ~ sQ113_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f507,plain,
( sQ113_spl
| ~ product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,definition,
( sQ114_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( ~ sQ114_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f510,plain,
( sQ114_spl
| ~ product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f461,f496,f499,f502,f505,f508]) ).
fof(f512,definition,
( sQ115_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ115_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f514,plain,
( sQ115_spl
| ~ product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
( sQ116_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ116_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f517,plain,
( sQ116_spl
| ~ product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
( sQ117_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( ~ sQ117_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f520,plain,
( sQ117_spl
| ~ product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,definition,
( sQ118_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f522,plain,
( ~ sQ118_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f523,plain,
( sQ118_spl
| ~ product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,definition,
( sQ119_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( ~ sQ119_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f526,plain,
( sQ119_spl
| ~ product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f462,f512,f515,f518,f521,f524]) ).
fof(f528,definition,
( sQ120_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( ~ sQ120_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f530,plain,
( sQ120_spl
| ~ product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,definition,
( sQ121_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( ~ sQ121_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f533,plain,
( sQ121_spl
| ~ product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,definition,
( sQ122_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( ~ sQ122_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f536,plain,
( sQ122_spl
| ~ product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,definition,
( sQ123_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ123_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f539,plain,
( sQ123_spl
| ~ product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,definition,
( sQ124_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f541,plain,
( ~ sQ124_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f542,plain,
( sQ124_spl
| ~ product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f463,f528,f531,f534,f537,f540]) ).
fof(f544,plain,
! [X0] :
( ~ greater(e_1,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f63,f96]) ).
fof(f545,plain,
! [X0] :
( ~ sQ14_spl
| ~ greater(e_5,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f162,f63]) ).
fof(f548,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f162,f95]) ).
fof(f549,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f162,f93]) ).
fof(f550,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f162,f91]) ).
fof(f551,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f162,f100]) ).
fof(f552,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f162,f98]) ).
fof(f553,definition,
! [X0] :
( sQ125_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f554,plain,
! [X0] :
( ~ sQ125_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f556,definition,
( sQ126_spl
<=> equalish(e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f557,plain,
( ~ sQ126_spl
| equalish(e_5,e_3) ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f560,definition,
( sQ127_spl
<=> equalish(e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( ~ sQ127_spl
| equalish(e_5,e_1) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f564,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f561,f85]) ).
fof(f565,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f564]) ).
fof(f566,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f557,f87]) ).
fof(f567,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f566]) ).
fof(f568,plain,
( ~ sQ125_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f554,f96]) ).
fof(f569,plain,
! [X0] :
( ~ sQ13_spl
| ~ greater(e_4,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f159,f63]) ).
fof(f570,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f159,f103]) ).
fof(f571,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f159,f102]) ).
fof(f572,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f159,f95]) ).
fof(f573,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f159,f93]) ).
fof(f574,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f159,f91]) ).
fof(f575,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f159,f100]) ).
fof(f576,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f159,f98]) ).
fof(f577,definition,
! [X0] :
( sQ128_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f578,plain,
! [X0] :
( ~ sQ128_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,definition,
( sQ129_spl
<=> equalish(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ129_spl
| equalish(e_4,e_3) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,plain,
( ~ sQ13_spl
| sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f570,f577,f580,f158]) ).
fof(f584,definition,
( sQ130_spl
<=> equalish(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ130_spl
| equalish(e_4,e_1) ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( ~ sQ13_spl
| sQ130_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f571,f577,f584,f158]) ).
fof(f588,plain,
( ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f585,f81]) ).
fof(f589,plain,
~ sQ130_spl,
inference(contradiction_clause,[status(thm)],[f588]) ).
fof(f590,plain,
( ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f581,f83]) ).
fof(f591,plain,
~ sQ129_spl,
inference(contradiction_clause,[status(thm)],[f590]) ).
fof(f592,plain,
( ~ sQ128_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f578,f96]) ).
fof(f593,plain,
! [X0] :
( ~ sQ12_spl
| ~ greater(e_3,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f156,f63]) ).
fof(f594,plain,
( ~ sQ12_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f156,f105]) ).
fof(f595,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f156,f103]) ).
fof(f596,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f156,f102]) ).
fof(f597,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f156,f95]) ).
fof(f598,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f156,f93]) ).
fof(f599,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f156,f91]) ).
fof(f600,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f156,f100]) ).
fof(f601,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f156,f98]) ).
fof(f602,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f594,f77]) ).
fof(f603,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f602]) ).
fof(f604,plain,
! [X0] :
( ~ sQ11_spl
| ~ greater(e_2,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f153,f63]) ).
fof(f605,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f153,f103]) ).
fof(f606,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f153,f102]) ).
fof(f607,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f153,f95]) ).
fof(f608,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f153,f93]) ).
fof(f609,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f153,f91]) ).
fof(f610,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f153,f100]) ).
fof(f611,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f153,f98]) ).
fof(f612,definition,
! [X0] :
( sQ131_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f613,plain,
! [X0] :
( ~ sQ131_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,definition,
( sQ132_spl
<=> equalish(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( ~ sQ132_spl
| equalish(e_2,e_3) ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,plain,
( ~ sQ11_spl
| sQ132_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f605,f612,f615,f152]) ).
fof(f619,definition,
( sQ133_spl
<=> equalish(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ133_spl
| equalish(e_2,e_1) ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,plain,
( ~ sQ11_spl
| sQ133_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f606,f612,f619,f152]) ).
fof(f623,plain,
( ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f620,f73]) ).
fof(f624,plain,
~ sQ133_spl,
inference(contradiction_clause,[status(thm)],[f623]) ).
fof(f625,plain,
( ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f616,f74]) ).
fof(f626,plain,
~ sQ132_spl,
inference(contradiction_clause,[status(thm)],[f625]) ).
fof(f627,plain,
( ~ sQ131_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f613,f96]) ).
fof(f628,plain,
! [X0] :
( ~ sQ10_spl
| ~ greater(e_1,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f150,f63]) ).
fof(f629,plain,
( ~ sQ10_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f150,f106]) ).
fof(f630,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f150,f103]) ).
fof(f631,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f150,f102]) ).
fof(f632,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f150,f95]) ).
fof(f633,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f150,f93]) ).
fof(f634,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f150,f91]) ).
fof(f635,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f150,f100]) ).
fof(f636,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f150,f98]) ).
fof(f637,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f629,f70]) ).
fof(f638,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f637]) ).
fof(f639,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f575,f96]) ).
fof(f640,definition,
( sQ134_spl
<=> equalish(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( ~ sQ134_spl
| equalish(e_1,e_4) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,plain,
( ~ sQ13_spl
| sQ134_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f639,f577,f640,f158]) ).
fof(f644,plain,
( ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f641,f71]) ).
fof(f645,plain,
~ sQ134_spl,
inference(contradiction_clause,[status(thm)],[f644]) ).
fof(f646,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f610,f96]) ).
fof(f647,definition,
( sQ135_spl
<=> equalish(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f648,plain,
( ~ sQ135_spl
| equalish(e_1,e_2) ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f650,plain,
( ~ sQ11_spl
| sQ135_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f646,f612,f647,f152]) ).
fof(f651,plain,
( ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f648,f69]) ).
fof(f652,plain,
~ sQ135_spl,
inference(contradiction_clause,[status(thm)],[f651]) ).
fof(f653,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f576,f96]) ).
fof(f654,definition,
( sQ136_spl
<=> equalish(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f655,plain,
( ~ sQ136_spl
| equalish(e_3,e_4) ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,plain,
( ~ sQ13_spl
| sQ136_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f653,f577,f654,f158]) ).
fof(f658,plain,
( ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f655,f79]) ).
fof(f659,plain,
~ sQ136_spl,
inference(contradiction_clause,[status(thm)],[f658]) ).
fof(f660,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f611,f96]) ).
fof(f661,definition,
( sQ137_spl
<=> equalish(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f662,plain,
( ~ sQ137_spl
| equalish(e_3,e_2) ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,plain,
( ~ sQ11_spl
| sQ137_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f660,f612,f661,f152]) ).
fof(f665,plain,
( ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f662,f78]) ).
fof(f666,plain,
~ sQ137_spl,
inference(contradiction_clause,[status(thm)],[f665]) ).
fof(f671,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f103]) ).
fof(f672,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f102]) ).
fof(f673,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f146,f95]) ).
fof(f674,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f146,f93]) ).
fof(f675,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f146,f91]) ).
fof(f676,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f146,f100]) ).
fof(f677,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f146,f98]) ).
fof(f678,definition,
! [X0] :
( sQ138_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f679,plain,
! [X0] :
( ~ sQ138_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,plain,
( ~ sQ9_spl
| sQ126_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f671,f678,f556,f145]) ).
fof(f682,definition,
( sQ139_spl
<=> equalish(e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f683,plain,
( ~ sQ139_spl
| equalish(e_5,e_2) ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f685,plain,
( ~ sQ9_spl
| sQ139_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f672,f678,f682,f145]) ).
fof(f686,plain,
( ~ sQ139_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f683,f86]) ).
fof(f687,plain,
~ sQ139_spl,
inference(contradiction_clause,[status(thm)],[f686]) ).
fof(f688,plain,
( ~ sQ138_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f679,f96]) ).
fof(f689,plain,
( ~ sQ13_spl
| ~ sQ8_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f143,f573]) ).
fof(f690,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ8_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f143,f576]) ).
fof(f691,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ8_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f143,f575]) ).
fof(f692,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f143,f103]) ).
fof(f693,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f143,f102]) ).
fof(f694,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f143,f95]) ).
fof(f695,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f143,f93]) ).
fof(f696,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f143,f91]) ).
fof(f697,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f143,f100]) ).
fof(f698,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f143,f98]) ).
fof(f699,plain,
( ~ sQ13_spl
| ~ sQ8_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f689,f647,f142,f158]) ).
fof(f700,definition,
! [X0] :
( sQ140_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f701,plain,
! [X0] :
( ~ sQ140_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,definition,
( sQ141_spl
<=> equalish(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f706,plain,
( ~ sQ13_spl
| ~ sQ8_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f690,f700,f703,f142,f158]) ).
fof(f707,plain,
( ~ sQ13_spl
| ~ sQ8_spl
| sQ135_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f691,f700,f647,f142,f158]) ).
fof(f708,definition,
! [X0] :
( sQ142_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f709,plain,
! [X0] :
( ~ sQ142_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f711,plain,
( ~ sQ8_spl
| sQ129_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f692,f708,f580,f142]) ).
fof(f712,definition,
( sQ143_spl
<=> equalish(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( ~ sQ143_spl
| equalish(e_4,e_2) ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,plain,
( ~ sQ8_spl
| sQ143_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f693,f708,f712,f142]) ).
fof(f716,plain,
( ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f713,f82]) ).
fof(f717,plain,
~ sQ143_spl,
inference(contradiction_clause,[status(thm)],[f716]) ).
fof(f718,plain,
( ~ sQ142_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f709,f96]) ).
fof(f723,plain,
( ~ sQ140_spl
| ~ sQ7_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f140,f701]) ).
fof(f724,plain,
( ~ sQ7_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f140,f105]) ).
fof(f725,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f140,f103]) ).
fof(f726,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f140,f102]) ).
fof(f727,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f140,f95]) ).
fof(f728,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f140,f93]) ).
fof(f729,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f140,f91]) ).
fof(f730,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f140,f100]) ).
fof(f731,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f140,f98]) ).
fof(f732,plain,
( ~ sQ7_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f724,f661,f139]) ).
fof(f733,definition,
! [X0] :
( sQ144_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f734,plain,
! [X0] :
( ~ sQ144_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,plain,
( ~ sQ7_spl
| sQ141_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f725,f733,f703,f139]) ).
fof(f737,plain,
( ~ sQ7_spl
| sQ137_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f726,f733,f661,f139]) ).
fof(f738,plain,
( ~ sQ144_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f734,f96]) ).
fof(f739,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f137,f608]) ).
fof(f740,plain,
( ~ sQ131_spl
| ~ sQ6_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f137,f613]) ).
fof(f741,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ6_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f137,f611]) ).
fof(f742,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ6_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f137,f610]) ).
fof(f743,plain,
( ~ sQ6_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f137,f106]) ).
fof(f744,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f137,f103]) ).
fof(f745,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f137,f102]) ).
fof(f746,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f137,f95]) ).
fof(f747,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f137,f93]) ).
fof(f748,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f137,f91]) ).
fof(f749,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f137,f100]) ).
fof(f750,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f137,f98]) ).
fof(f751,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f739,f647,f136,f152]) ).
fof(f752,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f741,f700,f703,f136,f152]) ).
fof(f753,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sQ135_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f742,f700,f647,f136,f152]) ).
fof(f754,plain,
( ~ sQ6_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f743,f615,f136]) ).
fof(f755,definition,
! [X0] :
( sQ145_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f756,plain,
! [X0] :
( ~ sQ145_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,plain,
( ~ sQ6_spl
| sQ132_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f744,f755,f615,f136]) ).
fof(f759,definition,
( sQ146_spl
<=> equalish(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f762,plain,
( ~ sQ6_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f745,f755,f759,f136]) ).
fof(f763,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f134,f103]) ).
fof(f764,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f134,f102]) ).
fof(f765,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f134,f95]) ).
fof(f766,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f134,f93]) ).
fof(f767,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f134,f91]) ).
fof(f768,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f134,f100]) ).
fof(f769,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f134,f98]) ).
fof(f770,definition,
! [X0] :
( sQ147_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f771,plain,
! [X0] :
( ~ sQ147_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,definition,
( sQ148_spl
<=> equalish(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ148_spl
| equalish(e_1,e_3) ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,plain,
( ~ sQ5_spl
| sQ148_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f763,f770,f773,f133]) ).
fof(f777,plain,
( ~ sQ5_spl
| sQ135_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f764,f770,f647,f133]) ).
fof(f778,plain,
( ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f774,f70]) ).
fof(f779,plain,
~ sQ148_spl,
inference(contradiction_clause,[status(thm)],[f778]) ).
fof(f782,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f130,f95]) ).
fof(f783,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f130,f93]) ).
fof(f784,plain,
( ~ sQ4_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f130,f101]) ).
fof(f785,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_5,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f130,f91]) ).
fof(f786,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f130,f100]) ).
fof(f787,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f130,f98]) ).
fof(f788,definition,
! [X0] :
( sQ149_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f789,plain,
! [X0] :
( ~ sQ149_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f793,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f784,f80]) ).
fof(f794,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f793]) ).
fof(f795,plain,
! [X0] :
( ~ sQ29_spl
| ~ greater(e_5,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f213,f63]) ).
fof(f798,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f213,f95]) ).
fof(f799,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f213,f93]) ).
fof(f800,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_5,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f213,f91]) ).
fof(f801,plain,
! [X0,X1,X2] :
( ~ sQ29_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f213,f100]) ).
fof(f802,plain,
! [X0,X1,X2] :
( ~ sQ29_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f213,f98]) ).
fof(f803,definition,
! [X0] :
( sQ150_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f804,plain,
! [X0] :
( ~ sQ150_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f808,plain,
! [X0] :
( ~ sQ28_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f210,f63]) ).
fof(f811,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f210,f95]) ).
fof(f812,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f210,f93]) ).
fof(f813,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f210,f91]) ).
fof(f814,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f210,f100]) ).
fof(f815,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f210,f98]) ).
fof(f816,definition,
! [X0] :
( sQ151_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f817,plain,
! [X0] :
( ~ sQ151_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f821,plain,
( ~ sQ27_spl
| ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f207,f627]) ).
fof(f822,plain,
( ~ sQ27_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f821]) ).
fof(f823,plain,
( ~ sQ11_spl
| ~ sQ26_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f204,f607]) ).
fof(f824,plain,
! [X0] :
( ~ sQ26_spl
| ~ greater(e_2,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f204,f63]) ).
fof(f825,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ26_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f204,f611]) ).
fof(f826,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ26_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f204,f610]) ).
fof(f827,plain,
( ~ sQ26_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f204,f105]) ).
fof(f828,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f204,f103]) ).
fof(f829,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f204,f102]) ).
fof(f830,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f204,f95]) ).
fof(f831,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f204,f93]) ).
fof(f832,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f204,f91]) ).
fof(f833,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f204,f100]) ).
fof(f834,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f204,f98]) ).
fof(f835,plain,
( ~ sQ11_spl
| ~ sQ26_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f823,f661,f203,f152]) ).
fof(f836,definition,
! [X0] :
( sQ152_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f837,plain,
! [X0] :
( ~ sQ152_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,plain,
( ~ sQ11_spl
| ~ sQ26_spl
| sQ137_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f825,f836,f661,f203,f152]) ).
fof(f840,definition,
( sQ153_spl
<=> equalish(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( ~ sQ11_spl
| ~ sQ26_spl
| sQ153_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f826,f836,f840,f203,f152]) ).
fof(f844,plain,
( ~ sQ26_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f827,f619,f203]) ).
fof(f845,definition,
! [X0] :
( sQ154_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f846,plain,
! [X0] :
( ~ sQ154_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f848,plain,
( ~ sQ26_spl
| sQ146_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f828,f845,f759,f203]) ).
fof(f849,plain,
( ~ sQ26_spl
| sQ133_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f829,f845,f619,f203]) ).
fof(f850,plain,
! [X0] :
( ~ sQ25_spl
| ~ greater(e_1,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f201,f63]) ).
fof(f851,plain,
( ~ sQ25_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f201,f106]) ).
fof(f852,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f201,f103]) ).
fof(f853,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f201,f102]) ).
fof(f854,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f201,f95]) ).
fof(f855,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f201,f93]) ).
fof(f856,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f201,f91]) ).
fof(f857,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f201,f100]) ).
fof(f858,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f201,f98]) ).
fof(f859,plain,
( ~ sQ25_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f851,f647,f200]) ).
fof(f860,definition,
! [X0] :
( sQ155_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f861,plain,
! [X0] :
( ~ sQ155_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f863,plain,
( ~ sQ25_spl
| sQ135_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f852,f860,f647,f200]) ).
fof(f864,plain,
( ~ sQ25_spl
| sQ153_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f853,f860,f840,f200]) ).
fof(f867,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f197,f95]) ).
fof(f868,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f197,f93]) ).
fof(f869,plain,
( ~ sQ24_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f197,f101]) ).
fof(f870,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f197,f91]) ).
fof(f871,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f197,f100]) ).
fof(f872,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f197,f98]) ).
fof(f873,definition,
! [X0] :
( sQ156_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f874,plain,
! [X0] :
( ~ sQ156_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f878,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f869,f76]) ).
fof(f879,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f878]) ).
fof(f882,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f194,f95]) ).
fof(f883,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f194,f93]) ).
fof(f884,plain,
( ~ sQ23_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f194,f101]) ).
fof(f885,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f194,f91]) ).
fof(f886,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f194,f100]) ).
fof(f887,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f194,f98]) ).
fof(f888,definition,
! [X0] :
( sQ157_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f889,plain,
! [X0] :
( ~ sQ157_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f893,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f884,f75]) ).
fof(f894,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f893]) ).
fof(f895,plain,
( ~ sQ149_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f789,f96]) ).
fof(f897,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f768,f134]) ).
fof(f898,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f768,f96]) ).
fof(f899,definition,
! [X0] :
( sQ158_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f900,plain,
! [X0] :
( ~ sQ158_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f899]) ).
fof(f902,plain,
( ~ sQ5_spl
| sQ146_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f897,f899,f759,f133]) ).
fof(f903,plain,
( ~ sQ5_spl
| sQ133_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f898,f770,f619,f133]) ).
fof(f904,plain,
! [X0] :
( ~ sQ158_spl
| ~ product(X0,e_2,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f900]) ).
fof(f905,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f769,f134]) ).
fof(f906,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f769,f96]) ).
fof(f907,plain,
( ~ sQ5_spl
| sQ141_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f905,f899,f703,f133]) ).
fof(f908,definition,
( sQ159_spl
<=> equalish(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f909,plain,
( ~ sQ159_spl
| equalish(e_3,e_1) ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f911,plain,
( ~ sQ5_spl
| sQ159_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f906,f770,f908,f133]) ).
fof(f912,plain,
( ~ sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f909,f77]) ).
fof(f913,plain,
~ sQ159_spl,
inference(contradiction_clause,[status(thm)],[f912]) ).
fof(f914,plain,
( ~ sQ151_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f817,f96]) ).
fof(f915,plain,
( ~ sQ154_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f846,f96]) ).
fof(f919,definition,
( sQ160_spl
<=> equalish(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f920,plain,
( ~ sQ160_spl
| equalish(e_2,e_4) ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f923,plain,
( ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f920,f75]) ).
fof(f924,plain,
~ sQ160_spl,
inference(contradiction_clause,[status(thm)],[f923]) ).
fof(f925,plain,
( ~ sQ156_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f874,f96]) ).
fof(f926,plain,
( ~ sQ157_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f889,f96]) ).
fof(f930,plain,
( ~ sQ22_spl
| ~ sQ158_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f191,f904]) ).
fof(f931,plain,
( ~ sQ22_spl
| ~ sQ158_spl ),
inference(contradiction_clause,[status(thm)],[f930]) ).
fof(f943,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f185,f765]) ).
fof(f944,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ20_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f185,f768]) ).
fof(f945,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ20_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f185,f769]) ).
fof(f946,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f185,f103]) ).
fof(f948,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f185,f95]) ).
fof(f949,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f185,f93]) ).
fof(f950,plain,
( ~ sQ20_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f185,f101]) ).
fof(f951,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f185,f91]) ).
fof(f952,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f185,f100]) ).
fof(f953,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f185,f98]) ).
fof(f954,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f943,f661,f184,f133]) ).
fof(f955,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f944,f755,f759,f184,f133]) ).
fof(f956,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| sQ137_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f945,f755,f661,f184,f133]) ).
fof(f957,definition,
! [X0] :
( sQ161_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f958,plain,
! [X0] :
( ~ sQ161_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f960,plain,
( ~ sQ20_spl
| sQ135_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f946,f957,f647,f184]) ).
fof(f962,plain,
( ~ sQ20_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f950,f619,f184]) ).
fof(f963,plain,
( ~ sQ161_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f958,f96]) ).
fof(f964,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f181,f103]) ).
fof(f965,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f181,f102]) ).
fof(f966,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f181,f95]) ).
fof(f967,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f181,f93]) ).
fof(f968,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f181,f91]) ).
fof(f969,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f181,f100]) ).
fof(f970,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f181,f98]) ).
fof(f971,definition,
! [X0] :
( sQ162_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f972,plain,
! [X0] :
( ~ sQ162_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f971]) ).
fof(f974,plain,
( ~ sQ19_spl
| sQ139_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f964,f971,f682,f180]) ).
fof(f975,plain,
( ~ sQ19_spl
| sQ126_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f965,f971,f556,f180]) ).
fof(f976,plain,
( ~ sQ162_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f972,f96]) ).
fof(f980,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f178,f103]) ).
fof(f981,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f178,f102]) ).
fof(f982,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f178,f95]) ).
fof(f983,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f178,f93]) ).
fof(f984,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f178,f91]) ).
fof(f985,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f178,f100]) ).
fof(f986,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f178,f98]) ).
fof(f988,definition,
! [X0] :
( sQ163_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f989,plain,
! [X0] :
( ~ sQ163_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f988]) ).
fof(f993,definition,
! [X0] :
( sQ164_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f994,plain,
! [X0] :
( ~ sQ164_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f993]) ).
fof(f996,plain,
( ~ sQ18_spl
| sQ143_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f980,f993,f712,f177]) ).
fof(f997,plain,
( ~ sQ18_spl
| sQ129_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f981,f993,f580,f177]) ).
fof(f998,plain,
( ~ sQ164_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f994,f96]) ).
fof(f999,plain,
( ~ sQ144_spl
| ~ sQ17_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f175,f734]) ).
fof(f1000,plain,
( ~ sQ17_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f175,f106]) ).
fof(f1001,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f175,f103]) ).
fof(f1002,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f175,f102]) ).
fof(f1003,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f175,f95]) ).
fof(f1004,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f175,f93]) ).
fof(f1005,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f175,f91]) ).
fof(f1006,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f175,f100]) ).
fof(f1007,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f175,f98]) ).
fof(f1008,plain,
( ~ sQ17_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1000,f661,f174]) ).
fof(f1009,definition,
! [X0] :
( sQ165_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1010,plain,
! [X0] :
( ~ sQ165_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1009]) ).
fof(f1012,plain,
( ~ sQ17_spl
| sQ137_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f1001,f1009,f661,f174]) ).
fof(f1013,plain,
( ~ sQ17_spl
| sQ141_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f1002,f1009,f703,f174]) ).
fof(f1014,plain,
( ~ sQ165_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1010,f96]) ).
fof(f1015,plain,
( ~ sQ163_spl
| ~ sQ16_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f172,f989]) ).
fof(f1016,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ16_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f172,f611]) ).
fof(f1017,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ16_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f172,f610]) ).
fof(f1018,plain,
( ~ sQ16_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f172,f105]) ).
fof(f1019,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f172,f103]) ).
fof(f1020,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f172,f102]) ).
fof(f1021,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f172,f95]) ).
fof(f1022,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f172,f93]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f172,f91]) ).
fof(f1024,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f172,f100]) ).
fof(f1025,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f172,f98]) ).
fof(f1026,definition,
! [X0] :
( sQ166_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1027,plain,
! [X0] :
( ~ sQ166_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1026]) ).
fof(f1029,plain,
( ~ sQ11_spl
| ~ sQ16_spl
| sQ137_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f1016,f1026,f661,f171,f152]) ).
fof(f1030,plain,
( ~ sQ11_spl
| ~ sQ16_spl
| sQ148_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f1017,f1026,f773,f171,f152]) ).
fof(f1031,plain,
( ~ sQ16_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1018,f615,f171]) ).
fof(f1032,definition,
! [X0] :
( sQ167_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1033,plain,
! [X0] :
( ~ sQ167_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1035,plain,
( ~ sQ16_spl
| sQ146_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1019,f1032,f759,f171]) ).
fof(f1036,plain,
( ~ sQ16_spl
| sQ132_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1020,f1032,f615,f171]) ).
fof(f1037,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ15_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f169,f768]) ).
fof(f1038,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ15_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f169,f769]) ).
fof(f1039,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f169,f103]) ).
fof(f1040,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f169,f102]) ).
fof(f1041,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f169,f95]) ).
fof(f1042,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f169,f93]) ).
fof(f1043,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f169,f91]) ).
fof(f1044,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f169,f100]) ).
fof(f1045,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f169,f98]) ).
fof(f1046,definition,
! [X0] :
( sQ168_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1047,plain,
! [X0] :
( ~ sQ168_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1046]) ).
fof(f1049,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| sQ132_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1037,f1046,f615,f168,f133]) ).
fof(f1050,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| sQ137_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1038,f1046,f661,f168,f133]) ).
fof(f1051,definition,
! [X0] :
( sQ169_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1052,plain,
! [X0] :
( ~ sQ169_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1051]) ).
fof(f1054,plain,
( ~ sQ15_spl
| sQ135_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1039,f1051,f647,f168]) ).
fof(f1055,plain,
( ~ sQ15_spl
| sQ148_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1040,f1051,f773,f168]) ).
fof(f1056,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1044,f169]) ).
fof(f1057,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1044,f96]) ).
fof(f1058,definition,
! [X0] :
( sQ170_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1059,plain,
! [X0] :
( ~ sQ170_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1058]) ).
fof(f1061,plain,
( ~ sQ15_spl
| sQ141_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1056,f1058,f703,f168]) ).
fof(f1062,plain,
( ~ sQ15_spl
| sQ159_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1057,f1051,f908,f168]) ).
fof(f1063,plain,
! [X0] :
( ~ sQ170_spl
| ~ product(X0,e_3,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f1059]) ).
fof(f1064,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1045,f169]) ).
fof(f1065,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1045,f96]) ).
fof(f1066,plain,
( ~ sQ15_spl
| sQ146_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1064,f1058,f759,f168]) ).
fof(f1067,plain,
( ~ sQ15_spl
| sQ133_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1065,f1051,f619,f168]) ).
fof(f1068,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f697,f96]) ).
fof(f1069,plain,
( ~ sQ8_spl
| sQ160_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1068,f708,f919,f142]) ).
fof(f1070,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f698,f96]) ).
fof(f1071,plain,
( ~ sQ8_spl
| sQ136_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1070,f708,f654,f142]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ44_spl
| ~ greater(e_5,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f264,f63]) ).
fof(f1078,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f264,f95]) ).
fof(f1079,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f264,f93]) ).
fof(f1080,plain,
( ~ sQ44_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f264,f101]) ).
fof(f1081,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_5,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f264,f91]) ).
fof(f1082,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f264,f100]) ).
fof(f1083,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f264,f98]) ).
fof(f1084,definition,
! [X0] :
( sQ171_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ171_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1089,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1080,f72]) ).
fof(f1090,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f1089]) ).
fof(f1091,plain,
( ~ sQ171_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f1085,f96]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ43_spl
| ~ greater(e_4,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f261,f63]) ).
fof(f1094,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ43_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f261,f698]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ43_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f261,f697]) ).
fof(f1098,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f261,f103]) ).
fof(f1100,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f261,f95]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f261,f93]) ).
fof(f1102,plain,
( ~ sQ43_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f261,f101]) ).
fof(f1103,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f261,f91]) ).
fof(f1104,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f261,f100]) ).
fof(f1105,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f261,f98]) ).
fof(f1107,plain,
( ~ sQ8_spl
| ~ sQ43_spl
| sQ159_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f1094,f770,f908,f260,f142]) ).
fof(f1108,plain,
( ~ sQ8_spl
| ~ sQ43_spl
| sQ133_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f1095,f770,f619,f260,f142]) ).
fof(f1111,definition,
! [X0] :
( sQ172_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ172_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1111]) ).
fof(f1114,plain,
( ~ sQ43_spl
| sQ130_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f1098,f1111,f584,f260]) ).
fof(f1116,plain,
( ~ sQ43_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1102,f640,f260]) ).
fof(f1117,plain,
( ~ sQ172_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f1112,f96]) ).
fof(f1118,plain,
( ~ sQ152_spl
| ~ sQ42_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f258,f837]) ).
fof(f1119,plain,
! [X0] :
( ~ sQ42_spl
| ~ greater(e_3,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f258,f63]) ).
fof(f1120,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f258,f103]) ).
fof(f1122,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f258,f95]) ).
fof(f1123,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f258,f93]) ).
fof(f1124,plain,
( ~ sQ42_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f258,f101]) ).
fof(f1125,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f258,f91]) ).
fof(f1126,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f258,f100]) ).
fof(f1127,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f258,f98]) ).
fof(f1128,definition,
! [X0] :
( sQ173_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1129,plain,
! [X0] :
( ~ sQ173_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1128]) ).
fof(f1131,plain,
( ~ sQ42_spl
| sQ159_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1120,f1128,f908,f257]) ).
fof(f1133,plain,
( ~ sQ42_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1124,f773,f257]) ).
fof(f1134,plain,
( ~ sQ173_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f1129,f96]) ).
fof(f1135,plain,
( ~ sQ155_spl
| ~ sQ41_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f255,f861]) ).
fof(f1136,plain,
( ~ sQ11_spl
| ~ sQ41_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f255,f607]) ).
fof(f1137,plain,
! [X0] :
( ~ sQ41_spl
| ~ greater(e_2,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f255,f63]) ).
fof(f1138,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ41_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f255,f611]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ41_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f255,f610]) ).
fof(f1140,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f255,f103]) ).
fof(f1141,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f255,f102]) ).
fof(f1142,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f255,f95]) ).
fof(f1143,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f255,f93]) ).
fof(f1144,plain,
( ~ sQ41_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f255,f101]) ).
fof(f1145,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f255,f91]) ).
fof(f1146,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f255,f100]) ).
fof(f1147,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f255,f98]) ).
fof(f1148,plain,
( ~ sQ155_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1135,f96]) ).
fof(f1149,plain,
( ~ sQ155_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1148]) ).
fof(f1150,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f248,f103]) ).
fof(f1151,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f248,f102]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f248,f95]) ).
fof(f1153,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f248,f93]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f248,f91]) ).
fof(f1155,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f248,f100]) ).
fof(f1156,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f248,f98]) ).
fof(f1157,definition,
! [X0] :
( sQ174_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1158,plain,
! [X0] :
( ~ sQ174_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1157]) ).
fof(f1160,plain,
( ~ sQ39_spl
| sQ127_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1150,f1157,f560,f247]) ).
fof(f1161,plain,
( ~ sQ39_spl
| sQ139_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1151,f1157,f682,f247]) ).
fof(f1162,plain,
( ~ sQ8_spl
| ~ sQ38_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f245,f694]) ).
fof(f1163,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ38_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f245,f698]) ).
fof(f1164,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ38_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f245,f697]) ).
fof(f1167,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f245,f103]) ).
fof(f1168,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f245,f102]) ).
fof(f1169,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f245,f95]) ).
fof(f1170,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f245,f93]) ).
fof(f1171,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f245,f91]) ).
fof(f1172,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f245,f100]) ).
fof(f1173,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f245,f98]) ).
fof(f1174,plain,
( ~ sQ8_spl
| ~ sQ38_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1162,f908,f244,f142]) ).
fof(f1175,definition,
! [X0] :
( sQ175_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1176,plain,
! [X0] :
( ~ sQ175_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1175]) ).
fof(f1178,plain,
( ~ sQ8_spl
| ~ sQ38_spl
| sQ159_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1163,f1175,f908,f244,f142]) ).
fof(f1179,plain,
( ~ sQ8_spl
| ~ sQ38_spl
| sQ146_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1164,f1175,f759,f244,f142]) ).
fof(f1180,definition,
! [X0] :
( sQ176_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ176_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1180]) ).
fof(f1185,definition,
! [X0] :
( sQ177_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1186,plain,
! [X0] :
( ~ sQ177_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1185]) ).
fof(f1188,plain,
( ~ sQ38_spl
| sQ130_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1167,f1185,f584,f244]) ).
fof(f1189,plain,
( ~ sQ38_spl
| sQ143_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1168,f1185,f712,f244]) ).
fof(f1190,plain,
( ~ sQ140_spl
| ~ sQ37_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f242,f701]) ).
fof(f1191,plain,
( ~ sQ145_spl
| ~ sQ37_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f242,f756]) ).
fof(f1192,plain,
( ~ sQ147_spl
| ~ sQ37_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f242,f771]) ).
fof(f1193,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f242,f103]) ).
fof(f1194,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f242,f102]) ).
fof(f1195,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f242,f95]) ).
fof(f1196,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f242,f93]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f242,f91]) ).
fof(f1198,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f242,f100]) ).
fof(f1199,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f242,f98]) ).
fof(f1200,plain,
( ~ sQ147_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1192,f96]) ).
fof(f1201,plain,
( ~ sQ147_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1200]) ).
fof(f1202,plain,
( ~ sQ161_spl
| ~ sQ36_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f239,f958]) ).
fof(f1203,plain,
( ~ sQ154_spl
| ~ sQ36_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f239,f846]) ).
fof(f1204,plain,
( ~ sQ131_spl
| ~ sQ36_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f239,f613]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ36_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f239,f611]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ36_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f239,f610]) ).
fof(f1207,plain,
( ~ sQ36_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f239,f106]) ).
fof(f1208,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f239,f103]) ).
fof(f1209,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f239,f102]) ).
fof(f1210,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f239,f95]) ).
fof(f1211,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f239,f93]) ).
fof(f1212,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f239,f91]) ).
fof(f1213,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f239,f100]) ).
fof(f1214,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f239,f98]) ).
fof(f1215,plain,
( ~ sQ161_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1202,f96]) ).
fof(f1216,plain,
( ~ sQ161_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1215]) ).
fof(f1217,plain,
( ~ sQ35_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f236,f105]) ).
fof(f1218,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f236,f103]) ).
fof(f1219,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f236,f102]) ).
fof(f1220,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f236,f95]) ).
fof(f1221,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f236,f93]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f236,f91]) ).
fof(f1223,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f236,f100]) ).
fof(f1224,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f236,f98]) ).
fof(f1225,plain,
( ~ sQ35_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1217,f647,f235]) ).
fof(f1226,definition,
! [X0] :
( sQ178_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1227,plain,
! [X0] :
( ~ sQ178_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1226]) ).
fof(f1229,plain,
( ~ sQ35_spl
| sQ153_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1218,f1226,f840,f235]) ).
fof(f1230,plain,
( ~ sQ35_spl
| sQ135_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1219,f1226,f647,f235]) ).
fof(f1231,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f232,f103]) ).
fof(f1232,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f232,f102]) ).
fof(f1233,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f232,f95]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f232,f93]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_5,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f232,f91]) ).
fof(f1236,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f232,f100]) ).
fof(f1237,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f232,f98]) ).
fof(f1238,definition,
! [X0] :
( sQ179_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1239,plain,
! [X0] :
( ~ sQ179_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1238]) ).
fof(f1241,plain,
( ~ sQ34_spl
| sQ127_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1231,f1238,f560,f231]) ).
fof(f1242,plain,
( ~ sQ34_spl
| sQ126_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1232,f1238,f556,f231]) ).
fof(f1243,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ33_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f229,f698]) ).
fof(f1244,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ33_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f229,f697]) ).
fof(f1247,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f229,f103]) ).
fof(f1248,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f229,f102]) ).
fof(f1249,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f229,f95]) ).
fof(f1250,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f229,f93]) ).
fof(f1251,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_4,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f229,f91]) ).
fof(f1252,plain,
! [X0,X1,X2] :
( ~ sQ33_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f229,f100]) ).
fof(f1253,plain,
! [X0,X1,X2] :
( ~ sQ33_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f229,f98]) ).
fof(f1254,definition,
! [X0] :
( sQ180_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1255,plain,
! [X0] :
( ~ sQ180_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1254]) ).
fof(f1257,plain,
( ~ sQ8_spl
| ~ sQ33_spl
| sQ159_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1243,f1254,f908,f228,f142]) ).
fof(f1258,plain,
( ~ sQ8_spl
| ~ sQ33_spl
| sQ132_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1244,f1254,f615,f228,f142]) ).
fof(f1259,definition,
! [X0] :
( sQ181_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1260,plain,
! [X0] :
( ~ sQ181_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1264,definition,
! [X0] :
( sQ182_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1265,plain,
! [X0] :
( ~ sQ182_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1264]) ).
fof(f1267,plain,
( ~ sQ33_spl
| sQ130_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1247,f1264,f584,f228]) ).
fof(f1268,plain,
( ~ sQ33_spl
| sQ129_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1248,f1264,f580,f228]) ).
fof(f1269,plain,
( ~ sQ173_spl
| ~ sQ32_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f226,f1129]) ).
fof(f1270,plain,
( ~ sQ144_spl
| ~ sQ32_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f226,f734]) ).
fof(f1271,plain,
( ~ sQ32_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f226,f106]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f226,f103]) ).
fof(f1273,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f226,f102]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f226,f95]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f226,f93]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f226,f91]) ).
fof(f1277,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f226,f100]) ).
fof(f1278,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f226,f98]) ).
fof(f1279,plain,
( ~ sQ173_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1269,f96]) ).
fof(f1280,plain,
( ~ sQ173_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1279]) ).
fof(f1281,plain,
( ~ sQ31_spl
| ~ sQ170_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f1063]) ).
fof(f1282,plain,
( ~ sQ31_spl
| ~ sQ170_spl ),
inference(contradiction_clause,[status(thm)],[f1281]) ).
fof(f1283,plain,
( ~ sQ174_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f1158,f96]) ).
fof(f1284,plain,
( ~ sQ177_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1186,f96]) ).
fof(f1285,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1155,f96]) ).
fof(f1286,definition,
( sQ183_spl
<=> equalish(e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1287,plain,
( ~ sQ183_spl
| equalish(e_2,e_5) ),
inference(component_clause,[status(thm)],[f1286]) ).
fof(f1289,plain,
( ~ sQ39_spl
| sQ183_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1285,f1157,f1286,f247]) ).
fof(f1290,plain,
( ~ sQ183_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1287,f76]) ).
fof(f1291,plain,
~ sQ183_spl,
inference(contradiction_clause,[status(thm)],[f1290]) ).
fof(f1292,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1156,f96]) ).
fof(f1293,definition,
( sQ184_spl
<=> equalish(e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1294,plain,
( ~ sQ184_spl
| equalish(e_1,e_5) ),
inference(component_clause,[status(thm)],[f1293]) ).
fof(f1296,plain,
( ~ sQ39_spl
| sQ184_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1292,f1157,f1293,f247]) ).
fof(f1297,plain,
( ~ sQ184_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1294,f72]) ).
fof(f1298,plain,
~ sQ184_spl,
inference(contradiction_clause,[status(thm)],[f1297]) ).
fof(f1299,plain,
( ~ sQ179_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f1239,f96]) ).
fof(f1300,plain,
( ~ sQ182_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1265,f96]) ).
fof(f1309,plain,
( ~ sQ15_spl
| ~ sQ181_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f1260,f169]) ).
fof(f1314,plain,
( ~ sQ180_spl
| ~ sQ30_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f220,f1255]) ).
fof(f1315,plain,
( ~ sQ181_spl
| ~ sQ30_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f220,f1260]) ).
fof(f1316,plain,
( ~ sQ15_spl
| ~ sQ30_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f220,f1041]) ).
fof(f1317,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ30_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f220,f1044]) ).
fof(f1318,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ30_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f220,f1045]) ).
fof(f1319,plain,
( ~ sQ30_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f220,f105]) ).
fof(f1320,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f220,f103]) ).
fof(f1321,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f220,f102]) ).
fof(f1322,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f220,f95]) ).
fof(f1323,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f220,f93]) ).
fof(f1324,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f220,f91]) ).
fof(f1325,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f220,f100]) ).
fof(f1326,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f220,f98]) ).
fof(f1327,plain,
( ~ sQ15_spl
| ~ sQ30_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f1316,f619,f219,f168]) ).
fof(f1328,definition,
! [X0] :
( sQ185_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1329,plain,
! [X0] :
( ~ sQ185_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1328]) ).
fof(f1331,plain,
( ~ sQ15_spl
| ~ sQ30_spl
| sQ141_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1317,f1328,f703,f219,f168]) ).
fof(f1332,plain,
( ~ sQ15_spl
| ~ sQ30_spl
| sQ133_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1318,f1328,f619,f219,f168]) ).
fof(f1333,plain,
( ~ sQ30_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1319,f773,f219]) ).
fof(f1334,definition,
! [X0] :
( sQ186_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1335,plain,
! [X0] :
( ~ sQ186_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1334]) ).
fof(f1337,plain,
( ~ sQ30_spl
| sQ153_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1320,f1334,f840,f219]) ).
fof(f1338,plain,
( ~ sQ30_spl
| sQ148_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1321,f1334,f773,f219]) ).
fof(f1339,plain,
( ~ sQ15_spl
| ~ sQ186_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f1335,f169]) ).
fof(f1340,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1236,f96]) ).
fof(f1341,definition,
( sQ187_spl
<=> equalish(e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1342,plain,
( ~ sQ187_spl
| equalish(e_3,e_5) ),
inference(component_clause,[status(thm)],[f1341]) ).
fof(f1344,plain,
( ~ sQ34_spl
| sQ187_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1340,f1238,f1341,f231]) ).
fof(f1345,plain,
( ~ sQ187_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1342,f80]) ).
fof(f1346,plain,
~ sQ187_spl,
inference(contradiction_clause,[status(thm)],[f1345]) ).
fof(f1347,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1237,f96]) ).
fof(f1348,plain,
( ~ sQ34_spl
| sQ184_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1347,f1238,f1293,f231]) ).
fof(f1349,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ59_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f319,f1237]) ).
fof(f1350,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ59_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f319,f1236]) ).
fof(f1351,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ59_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f319,f1156]) ).
fof(f1352,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ59_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f319,f1155]) ).
fof(f1353,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f319,f103]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f319,f102]) ).
fof(f1355,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f319,f95]) ).
fof(f1356,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f319,f93]) ).
fof(f1357,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_5,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f319,f91]) ).
fof(f1358,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f319,f100]) ).
fof(f1359,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f319,f98]) ).
fof(f1360,definition,
! [X0] :
( sQ188_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ188_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1360]) ).
fof(f1363,plain,
( ~ sQ34_spl
| ~ sQ59_spl
| sQ148_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1349,f1360,f773,f318,f231]) ).
fof(f1364,plain,
( ~ sQ34_spl
| ~ sQ59_spl
| sQ136_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1350,f1360,f654,f318,f231]) ).
fof(f1365,definition,
! [X0] :
( sQ189_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1366,plain,
! [X0] :
( ~ sQ189_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1365]) ).
fof(f1368,plain,
( ~ sQ39_spl
| ~ sQ59_spl
| sQ148_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1351,f1365,f773,f318,f247]) ).
fof(f1369,plain,
( ~ sQ39_spl
| ~ sQ59_spl
| sQ160_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1352,f1365,f919,f318,f247]) ).
fof(f1370,definition,
! [X0] :
( sQ190_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1371,plain,
! [X0] :
( ~ sQ190_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1370]) ).
fof(f1373,plain,
( ~ sQ59_spl
| sQ126_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1353,f1370,f556,f318]) ).
fof(f1374,definition,
( sQ191_spl
<=> equalish(e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1375,plain,
( ~ sQ191_spl
| equalish(e_5,e_4) ),
inference(component_clause,[status(thm)],[f1374]) ).
fof(f1377,plain,
( ~ sQ59_spl
| sQ191_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1354,f1370,f1374,f318]) ).
fof(f1378,plain,
( ~ sQ191_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1375,f88]) ).
fof(f1379,plain,
~ sQ191_spl,
inference(contradiction_clause,[status(thm)],[f1378]) ).
fof(f1380,definition,
! [X0] :
( sQ192_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1381,plain,
! [X0] :
( ~ sQ192_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1380]) ).
fof(f1383,plain,
( ~ sQ11_spl
| ~ sQ36_spl
| sQ159_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1205,f1380,f908,f238,f152]) ).
fof(f1384,plain,
( ~ sQ11_spl
| ~ sQ36_spl
| sQ135_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1206,f1380,f647,f238,f152]) ).
fof(f1385,plain,
( ~ sQ36_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f1207,f619,f238]) ).
fof(f1386,definition,
! [X0] :
( sQ193_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1387,plain,
! [X0] :
( ~ sQ193_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1386]) ).
fof(f1389,plain,
( ~ sQ36_spl
| sQ133_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1208,f1386,f619,f238]) ).
fof(f1390,plain,
( ~ sQ36_spl
| sQ146_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1209,f1386,f759,f238]) ).
fof(f1391,plain,
( ~ sQ190_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f1371,f96]) ).
fof(f1392,plain,
( ~ sQ193_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f1387,f96]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1172,f96]) ).
fof(f1398,plain,
( ~ sQ38_spl
| sQ160_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1397,f1185,f919,f244]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1173,f96]) ).
fof(f1400,plain,
( ~ sQ38_spl
| sQ134_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1399,f1185,f640,f244]) ).
fof(f1401,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f985,f96]) ).
fof(f1402,plain,
( ~ sQ18_spl
| sQ136_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1401,f993,f654,f177]) ).
fof(f1403,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f986,f96]) ).
fof(f1404,plain,
( ~ sQ18_spl
| sQ160_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1403,f993,f919,f177]) ).
fof(f1409,plain,
( ~ sQ164_spl
| ~ sQ58_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f316,f994]) ).
fof(f1410,plain,
( ~ sQ182_spl
| ~ sQ58_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f316,f1265]) ).
fof(f1411,plain,
( ~ sQ177_spl
| ~ sQ58_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f316,f1186]) ).
fof(f1412,plain,
( ~ sQ172_spl
| ~ sQ58_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f316,f1112]) ).
fof(f1413,plain,
( ~ sQ142_spl
| ~ sQ58_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f316,f709]) ).
fof(f1414,plain,
( ~ sQ157_spl
| ~ sQ58_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f316,f889]) ).
fof(f1415,plain,
( ~ sQ151_spl
| ~ sQ58_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f316,f817]) ).
fof(f1416,plain,
( ~ sQ128_spl
| ~ sQ58_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f316,f578]) ).
fof(f1417,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ58_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f316,f986]) ).
fof(f1418,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ58_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f316,f985]) ).
fof(f1419,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ58_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f316,f1173]) ).
fof(f1420,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ58_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f316,f1172]) ).
fof(f1421,plain,
( ~ sQ58_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f316,f106]) ).
fof(f1422,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f316,f103]) ).
fof(f1423,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f316,f102]) ).
fof(f1424,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f316,f95]) ).
fof(f1425,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f316,f93]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f316,f91]) ).
fof(f1427,plain,
! [X0,X1,X2] :
( ~ sQ58_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f316,f100]) ).
fof(f1428,plain,
! [X0,X1,X2] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f316,f98]) ).
fof(f1429,plain,
( ~ sQ177_spl
| ~ sQ58_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1411,f133,f315,f1185]) ).
fof(f1430,plain,
( ~ sQ151_spl
| ~ sQ58_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1415,f152,f315,f816]) ).
fof(f1431,definition,
! [X0] :
( sQ194_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1432,plain,
! [X0] :
( ~ sQ194_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1431]) ).
fof(f1434,plain,
( ~ sQ18_spl
| ~ sQ58_spl
| sQ132_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1417,f1431,f615,f315,f177]) ).
fof(f1435,plain,
( ~ sQ18_spl
| ~ sQ58_spl
| sQ136_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1418,f1431,f654,f315,f177]) ).
fof(f1436,plain,
( ~ sQ38_spl
| ~ sQ58_spl
| sQ148_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1419,f1365,f773,f315,f244]) ).
fof(f1437,plain,
( ~ sQ38_spl
| ~ sQ58_spl
| sQ160_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1420,f1365,f919,f315,f244]) ).
fof(f1438,plain,
( ~ sQ58_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1421,f580,f315]) ).
fof(f1439,definition,
! [X0] :
( sQ195_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1440,plain,
! [X0] :
( ~ sQ195_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1439]) ).
fof(f1442,plain,
( ~ sQ58_spl
| sQ129_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1422,f1439,f580,f315]) ).
fof(f1443,definition,
( sQ196_spl
<=> equalish(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1446,plain,
( ~ sQ58_spl
| sQ196_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1423,f1439,f1443,f315]) ).
fof(f1447,plain,
( ~ sQ195_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f1440,f96]) ).
fof(f1448,plain,
( ~ sQ194_spl
| ~ sQ57_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f313,f1432]) ).
fof(f1449,plain,
( ~ sQ188_spl
| ~ sQ57_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f313,f1361]) ).
fof(f1450,plain,
( ~ sQ189_spl
| ~ sQ57_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f313,f1366]) ).
fof(f1451,plain,
( ~ sQ57_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f313,f105]) ).
fof(f1452,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f313,f103]) ).
fof(f1453,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f313,f102]) ).
fof(f1454,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f313,f95]) ).
fof(f1455,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f313,f93]) ).
fof(f1456,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f313,f91]) ).
fof(f1457,plain,
! [X0,X1,X2] :
( ~ sQ57_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f313,f100]) ).
fof(f1458,plain,
! [X0,X1,X2] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f313,f98]) ).
fof(f1459,plain,
( ~ sQ189_spl
| ~ sQ57_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1450,f133,f312,f1365]) ).
fof(f1460,plain,
( ~ sQ57_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1451,f654,f312]) ).
fof(f1461,definition,
! [X0] :
( sQ197_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1462,plain,
! [X0] :
( ~ sQ197_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1461]) ).
fof(f1464,plain,
( ~ sQ57_spl
| sQ141_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1452,f1461,f703,f312]) ).
fof(f1465,plain,
( ~ sQ57_spl
| sQ136_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1453,f1461,f654,f312]) ).
fof(f1466,plain,
( ~ sQ11_spl
| ~ sQ56_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f310,f608]) ).
fof(f1467,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ56_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f310,f611]) ).
fof(f1468,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ56_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f310,f610]) ).
fof(f1469,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f310,f103]) ).
fof(f1470,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f310,f102]) ).
fof(f1471,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f310,f95]) ).
fof(f1472,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f310,f93]) ).
fof(f1473,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f310,f91]) ).
fof(f1474,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f310,f100]) ).
fof(f1475,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f310,f98]) ).
fof(f1476,plain,
( ~ sQ11_spl
| ~ sQ56_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1466,f640,f309,f152]) ).
fof(f1477,definition,
! [X0] :
( sQ198_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1478,plain,
! [X0] :
( ~ sQ198_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1477]) ).
fof(f1480,plain,
( ~ sQ11_spl
| ~ sQ56_spl
| sQ141_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1467,f1477,f703,f309,f152]) ).
fof(f1481,plain,
( ~ sQ11_spl
| ~ sQ56_spl
| sQ134_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1468,f1477,f640,f309,f152]) ).
fof(f1482,definition,
! [X0] :
( sQ199_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1483,plain,
! [X0] :
( ~ sQ199_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1482]) ).
fof(f1485,plain,
( ~ sQ56_spl
| sQ132_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1469,f1482,f615,f309]) ).
fof(f1486,plain,
( ~ sQ56_spl
| sQ160_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1470,f1482,f919,f309]) ).
fof(f1490,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1474,f310]) ).
fof(f1491,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1474,f96]) ).
fof(f1492,definition,
! [X0] :
( sQ200_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1493,plain,
! [X0] :
( ~ sQ200_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1492]) ).
fof(f1495,plain,
( ~ sQ56_spl
| sQ196_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1490,f1492,f1443,f309]) ).
fof(f1496,plain,
( ~ sQ56_spl
| sQ143_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1491,f1482,f712,f309]) ).
fof(f1497,plain,
! [X0] :
( ~ sQ200_spl
| ~ product(X0,e_4,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f1493]) ).
fof(f1498,plain,
( ~ sQ56_spl
| ~ sQ55_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f307,f1473]) ).
fof(f1499,plain,
( ~ sQ5_spl
| ~ sQ55_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f307,f766]) ).
fof(f1500,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ55_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f307,f768]) ).
fof(f1501,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ55_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f307,f769]) ).
fof(f1502,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f307,f103]) ).
fof(f1503,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f307,f102]) ).
fof(f1504,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f307,f95]) ).
fof(f1505,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f307,f93]) ).
fof(f1506,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f307,f91]) ).
fof(f1507,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f307,f100]) ).
fof(f1508,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f307,f98]) ).
fof(f1509,plain,
( ~ sQ56_spl
| ~ sQ55_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f1498,f619,f306,f309]) ).
fof(f1510,plain,
( ~ sQ5_spl
| ~ sQ55_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f1499,f919,f306,f133]) ).
fof(f1511,definition,
! [X0] :
( sQ201_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1512,plain,
! [X0] :
( ~ sQ201_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1511]) ).
fof(f1514,plain,
( ~ sQ5_spl
| ~ sQ55_spl
| sQ160_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1500,f1511,f919,f306,f133]) ).
fof(f1515,plain,
( ~ sQ5_spl
| ~ sQ55_spl
| sQ141_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1501,f1511,f703,f306,f133]) ).
fof(f1516,definition,
! [X0] :
( sQ202_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1517,plain,
! [X0] :
( ~ sQ202_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1516]) ).
fof(f1519,plain,
( ~ sQ55_spl
| sQ148_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1502,f1516,f773,f306]) ).
fof(f1520,plain,
( ~ sQ55_spl
| sQ134_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1503,f1516,f640,f306]) ).
fof(f1524,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f303,f103]) ).
fof(f1525,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f303,f102]) ).
fof(f1526,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f303,f95]) ).
fof(f1527,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f303,f93]) ).
fof(f1528,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f303,f91]) ).
fof(f1529,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f303,f100]) ).
fof(f1530,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f303,f98]) ).
fof(f1532,definition,
! [X0] :
( sQ203_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1533,plain,
! [X0] :
( ~ sQ203_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1532]) ).
fof(f1537,definition,
! [X0] :
( sQ204_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1538,plain,
! [X0] :
( ~ sQ204_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1537]) ).
fof(f1540,plain,
( ~ sQ54_spl
| sQ139_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1524,f1537,f682,f302]) ).
fof(f1541,plain,
( ~ sQ54_spl
| sQ191_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1525,f1537,f1374,f302]) ).
fof(f1542,plain,
( ~ sQ164_spl
| ~ sQ53_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f300,f994]) ).
fof(f1543,plain,
( ~ sQ182_spl
| ~ sQ53_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f300,f1265]) ).
fof(f1544,plain,
( ~ sQ172_spl
| ~ sQ53_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f300,f1112]) ).
fof(f1545,plain,
( ~ sQ142_spl
| ~ sQ53_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f300,f709]) ).
fof(f1546,plain,
( ~ sQ157_spl
| ~ sQ53_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f300,f889]) ).
fof(f1547,plain,
( ~ sQ128_spl
| ~ sQ53_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f300,f578]) ).
fof(f1548,plain,
( ~ sQ53_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f300,f106]) ).
fof(f1549,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f300,f103]) ).
fof(f1550,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f300,f102]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f300,f95]) ).
fof(f1552,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f300,f93]) ).
fof(f1553,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f300,f91]) ).
fof(f1554,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f300,f100]) ).
fof(f1555,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f300,f98]) ).
fof(f1556,plain,
( ~ sQ182_spl
| ~ sQ53_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1543,f168,f299,f1264]) ).
fof(f1557,plain,
( ~ sQ157_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1546,f96]) ).
fof(f1558,plain,
( ~ sQ157_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1557]) ).
fof(f1559,plain,
( ~ sQ52_spl
| ~ sQ200_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f297,f1497]) ).
fof(f1560,plain,
( ~ sQ52_spl
| ~ sQ200_spl ),
inference(contradiction_clause,[status(thm)],[f1559]) ).
fof(f1561,plain,
( ~ sQ56_spl
| ~ sQ51_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f294,f1471]) ).
fof(f1562,plain,
( ~ sQ51_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f294,f105]) ).
fof(f1563,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f294,f103]) ).
fof(f1564,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f294,f102]) ).
fof(f1565,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f294,f95]) ).
fof(f1566,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f294,f93]) ).
fof(f1567,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f294,f91]) ).
fof(f1568,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f294,f100]) ).
fof(f1569,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f294,f98]) ).
fof(f1570,plain,
( ~ sQ56_spl
| ~ sQ51_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1561,f661,f293,f309]) ).
fof(f1571,plain,
( ~ sQ51_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f1562,f919,f293]) ).
fof(f1572,definition,
! [X0] :
( sQ205_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1573,plain,
! [X0] :
( ~ sQ205_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1572]) ).
fof(f1575,plain,
( ~ sQ51_spl
| sQ146_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1563,f1572,f759,f293]) ).
fof(f1576,plain,
( ~ sQ51_spl
| sQ160_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1564,f1572,f919,f293]) ).
fof(f1577,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f291,f103]) ).
fof(f1578,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f291,f102]) ).
fof(f1579,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f291,f95]) ).
fof(f1580,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f291,f93]) ).
fof(f1581,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f291,f91]) ).
fof(f1582,plain,
! [X0,X1,X2] :
( ~ sQ50_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f291,f100]) ).
fof(f1583,plain,
! [X0,X1,X2] :
( ~ sQ50_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f291,f98]) ).
fof(f1584,definition,
! [X0] :
( sQ206_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1585,plain,
! [X0] :
( ~ sQ206_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1584]) ).
fof(f1587,plain,
( ~ sQ50_spl
| sQ135_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f1577,f1584,f647,f290]) ).
fof(f1588,plain,
( ~ sQ50_spl
| sQ134_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f1578,f1584,f640,f290]) ).
fof(f1589,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f287,f103]) ).
fof(f1590,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f287,f102]) ).
fof(f1591,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f287,f95]) ).
fof(f1592,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f287,f93]) ).
fof(f1593,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f287,f91]) ).
fof(f1594,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f287,f100]) ).
fof(f1595,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f287,f98]) ).
fof(f1596,definition,
! [X0] :
( sQ207_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1597,plain,
! [X0] :
( ~ sQ207_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1596]) ).
fof(f1599,plain,
( ~ sQ49_spl
| sQ127_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1589,f1596,f560,f286]) ).
fof(f1600,plain,
( ~ sQ49_spl
| sQ191_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1590,f1596,f1374,f286]) ).
fof(f1601,plain,
( ~ sQ164_spl
| ~ sQ48_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f284,f994]) ).
fof(f1602,plain,
( ~ sQ172_spl
| ~ sQ48_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f284,f1112]) ).
fof(f1603,plain,
( ~ sQ142_spl
| ~ sQ48_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f284,f709]) ).
fof(f1604,plain,
( ~ sQ128_spl
| ~ sQ48_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f284,f578]) ).
fof(f1605,plain,
( ~ sQ48_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f284,f106]) ).
fof(f1606,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f284,f103]) ).
fof(f1607,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f284,f102]) ).
fof(f1608,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f284,f95]) ).
fof(f1609,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f284,f93]) ).
fof(f1610,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f284,f91]) ).
fof(f1611,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f284,f100]) ).
fof(f1612,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f284,f98]) ).
fof(f1613,plain,
( ~ sQ172_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1602,f96]) ).
fof(f1614,plain,
( ~ sQ172_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1613]) ).
fof(f1615,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1475,f310]) ).
fof(f1616,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1475,f96]) ).
fof(f1617,plain,
( ~ sQ56_spl
| sQ141_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1615,f1492,f703,f309]) ).
fof(f1618,plain,
( ~ sQ56_spl
| sQ137_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1616,f1482,f661,f309]) ).
fof(f1619,plain,
( ~ sQ204_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1538,f96]) ).
fof(f1628,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ15_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1045,f291]) ).
fof(f1630,definition,
! [X0] :
( sQ208_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1631,plain,
! [X0] :
( ~ sQ208_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1630]) ).
fof(f1633,plain,
( ~ sQ50_spl
| ~ sQ15_spl
| sQ146_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1628,f1630,f759,f168,f290]) ).
fof(f1635,plain,
( ~ sQ56_spl
| ~ sQ203_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1533,f310]) ).
fof(f1637,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ15_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1044,f291]) ).
fof(f1639,plain,
( ~ sQ50_spl
| ~ sQ15_spl
| sQ136_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1637,f1630,f654,f168,f290]) ).
fof(f1655,plain,
( ~ sQ56_spl
| ~ sQ205_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f1573,f310]) ).
fof(f1656,plain,
( ~ sQ56_spl
| ~ sQ206_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f1585,f310]) ).
fof(f1657,plain,
( ~ sQ207_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f1597,f96]) ).
fof(f1658,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1529,f96]) ).
fof(f1659,definition,
( sQ209_spl
<=> equalish(e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1660,plain,
( ~ sQ209_spl
| equalish(e_4,e_5) ),
inference(component_clause,[status(thm)],[f1659]) ).
fof(f1662,plain,
( ~ sQ54_spl
| sQ209_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1658,f1537,f1659,f302]) ).
fof(f1663,plain,
( ~ sQ209_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1660,f84]) ).
fof(f1664,plain,
~ sQ209_spl,
inference(contradiction_clause,[status(thm)],[f1663]) ).
fof(f1665,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1530,f96]) ).
fof(f1666,plain,
( ~ sQ54_spl
| sQ183_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1665,f1537,f1286,f302]) ).
fof(f1667,plain,
( ~ sQ56_spl
| ~ sQ208_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1631,f310]) ).
fof(f1668,plain,
( ~ sQ188_spl
| ~ sQ47_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f281,f1361]) ).
fof(f1669,plain,
( ~ sQ194_spl
| ~ sQ47_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f281,f1432]) ).
fof(f1670,plain,
( ~ sQ197_spl
| ~ sQ47_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f281,f1462]) ).
fof(f1671,plain,
( ~ sQ202_spl
| ~ sQ47_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f281,f1517]) ).
fof(f1672,plain,
( ~ sQ201_spl
| ~ sQ47_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f281,f1512]) ).
fof(f1673,plain,
( ~ sQ198_spl
| ~ sQ47_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f281,f1478]) ).
fof(f1674,plain,
( ~ sQ199_spl
| ~ sQ47_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f281,f1483]) ).
fof(f1675,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f281,f103]) ).
fof(f1676,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f281,f102]) ).
fof(f1677,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f281,f95]) ).
fof(f1678,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f281,f93]) ).
fof(f1679,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f281,f91]) ).
fof(f1680,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f281,f100]) ).
fof(f1681,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f281,f98]) ).
fof(f1682,plain,
( ~ sQ202_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1671,f96]) ).
fof(f1683,plain,
( ~ sQ202_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1682]) ).
fof(f1684,plain,
( ~ sQ208_spl
| ~ sQ46_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f278,f1631]) ).
fof(f1685,plain,
( ~ sQ206_spl
| ~ sQ46_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f278,f1585]) ).
fof(f1686,plain,
( ~ sQ205_spl
| ~ sQ46_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f278,f1573]) ).
fof(f1688,plain,
( ~ sQ56_spl
| ~ sQ46_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f278,f1471]) ).
fof(f1689,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ46_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f278,f1474]) ).
fof(f1690,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ46_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f278,f1475]) ).
fof(f1691,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f278,f103]) ).
fof(f1692,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f278,f102]) ).
fof(f1693,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f278,f95]) ).
fof(f1694,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f278,f93]) ).
fof(f1695,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f278,f91]) ).
fof(f1696,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f278,f100]) ).
fof(f1697,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f278,f98]) ).
fof(f1698,plain,
( ~ sQ206_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1685,f96]) ).
fof(f1699,plain,
( ~ sQ206_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1698]) ).
fof(f1700,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ45_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f275,f1044]) ).
fof(f1701,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ45_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f275,f1045]) ).
fof(f1702,plain,
( ~ sQ45_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f275,f105]) ).
fof(f1703,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f275,f103]) ).
fof(f1704,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f275,f102]) ).
fof(f1705,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f275,f95]) ).
fof(f1706,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f275,f93]) ).
fof(f1707,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f275,f91]) ).
fof(f1708,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f275,f100]) ).
fof(f1709,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f275,f98]) ).
fof(f1710,definition,
! [X0] :
( sQ210_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1711,plain,
! [X0] :
( ~ sQ210_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1710]) ).
fof(f1713,plain,
( ~ sQ15_spl
| ~ sQ45_spl
| sQ136_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1700,f1710,f654,f274,f168]) ).
fof(f1714,plain,
( ~ sQ15_spl
| ~ sQ45_spl
| sQ133_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1701,f1710,f619,f274,f168]) ).
fof(f1715,plain,
( ~ sQ45_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1702,f640,f274]) ).
fof(f1716,definition,
! [X0] :
( sQ211_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1717,plain,
! [X0] :
( ~ sQ211_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1716]) ).
fof(f1719,plain,
( ~ sQ45_spl
| sQ153_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1703,f1716,f840,f274]) ).
fof(f1720,plain,
( ~ sQ45_spl
| sQ134_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1704,f1716,f640,f274]) ).
fof(f1721,plain,
( ~ sQ1_spl
| ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f121,f1014]) ).
fof(f1722,plain,
( ~ sQ1_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f1721]) ).
fof(f1723,plain,
( ~ sQ56_spl
| ~ sQ46_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1688,f908,f277,f309]) ).
fof(f1724,definition,
! [X0] :
( sQ212_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1725,plain,
! [X0] :
( ~ sQ212_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1724]) ).
fof(f1727,plain,
( ~ sQ56_spl
| ~ sQ46_spl
| sQ196_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f1689,f1724,f1443,f277,f309]) ).
fof(f1728,plain,
( ~ sQ56_spl
| ~ sQ46_spl
| sQ159_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f1690,f1724,f908,f277,f309]) ).
fof(f1729,definition,
! [X0] :
( sQ213_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1730,plain,
! [X0] :
( ~ sQ213_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1729]) ).
fof(f1732,plain,
( ~ sQ46_spl
| sQ133_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f1691,f1729,f619,f277]) ).
fof(f1733,plain,
( ~ sQ46_spl
| sQ160_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f1692,f1729,f919,f277]) ).
fof(f1734,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1594,f96]) ).
fof(f1735,plain,
( ~ sQ49_spl
| sQ209_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1734,f1596,f1659,f286]) ).
fof(f1736,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1595,f96]) ).
fof(f1737,plain,
( ~ sQ49_spl
| sQ184_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1736,f1596,f1293,f286]) ).
fof(f1739,plain,
! [X0] :
( ~ sQ79_spl
| ~ greater(e_5,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f387,f63]) ).
fof(f1740,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ79_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f387,f1595]) ).
fof(f1741,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ79_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f387,f1594]) ).
fof(f1742,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ79_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f387,f1530]) ).
fof(f1743,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ79_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f387,f1529]) ).
fof(f1746,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ79_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f387,f1156]) ).
fof(f1747,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ79_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f387,f1155]) ).
fof(f1748,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f387,f103]) ).
fof(f1749,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f387,f102]) ).
fof(f1750,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f387,f95]) ).
fof(f1751,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f387,f93]) ).
fof(f1752,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f387,f91]) ).
fof(f1753,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f387,f100]) ).
fof(f1754,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f387,f98]) ).
fof(f1756,definition,
! [X0] :
( sQ214_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1757,plain,
! [X0] :
( ~ sQ214_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1756]) ).
fof(f1759,plain,
( ~ sQ49_spl
| ~ sQ79_spl
| sQ134_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f1740,f1756,f640,f386,f286]) ).
fof(f1760,plain,
( ~ sQ49_spl
| ~ sQ79_spl
| sQ130_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f1741,f1756,f584,f386,f286]) ).
fof(f1761,definition,
! [X0] :
( sQ215_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1762,plain,
! [X0] :
( ~ sQ215_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1761]) ).
fof(f1764,plain,
( ~ sQ54_spl
| ~ sQ79_spl
| sQ160_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f1742,f1761,f919,f386,f302]) ).
fof(f1765,plain,
( ~ sQ54_spl
| ~ sQ79_spl
| sQ130_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f1743,f1761,f584,f386,f302]) ).
fof(f1766,definition,
! [X0] :
( sQ216_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1767,plain,
! [X0] :
( ~ sQ216_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1766]) ).
fof(f1771,definition,
! [X0] :
( sQ217_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1772,plain,
! [X0] :
( ~ sQ217_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1771]) ).
fof(f1774,plain,
( ~ sQ39_spl
| ~ sQ79_spl
| sQ134_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f1746,f1771,f640,f386,f247]) ).
fof(f1775,plain,
( ~ sQ39_spl
| ~ sQ79_spl
| sQ133_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f1747,f1771,f619,f386,f247]) ).
fof(f1776,definition,
! [X0] :
( sQ218_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1777,plain,
! [X0] :
( ~ sQ218_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1776]) ).
fof(f1779,plain,
( ~ sQ79_spl
| sQ191_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1748,f1776,f1374,f386]) ).
fof(f1780,plain,
( ~ sQ79_spl
| sQ127_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1749,f1776,f560,f386]) ).
fof(f1787,plain,
! [X0] :
( ~ sQ78_spl
| ~ greater(e_4,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f384,f63]) ).
fof(f1788,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ78_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f384,f698]) ).
fof(f1789,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ78_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f384,f697]) ).
fof(f1792,plain,
( ~ sQ78_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f384,f105]) ).
fof(f1793,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f384,f103]) ).
fof(f1794,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f384,f102]) ).
fof(f1795,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f384,f95]) ).
fof(f1796,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f384,f93]) ).
fof(f1797,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_4,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f384,f91]) ).
fof(f1798,plain,
! [X0,X1,X2] :
( ~ sQ78_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f384,f100]) ).
fof(f1799,plain,
! [X0,X1,X2] :
( ~ sQ78_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f384,f98]) ).
fof(f1801,definition,
! [X0] :
( sQ219_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1802,plain,
! [X0] :
( ~ sQ219_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1801]) ).
fof(f1804,plain,
( ~ sQ8_spl
| ~ sQ78_spl
| sQ136_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f1788,f1801,f654,f383,f142]) ).
fof(f1805,plain,
( ~ sQ8_spl
| ~ sQ78_spl
| sQ133_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f1789,f1801,f619,f383,f142]) ).
fof(f1806,definition,
! [X0] :
( sQ220_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1807,plain,
! [X0] :
( ~ sQ220_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1806]) ).
fof(f1811,plain,
( ~ sQ78_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f1792,f584,f383]) ).
fof(f1812,definition,
! [X0] :
( sQ221_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1813,plain,
! [X0] :
( ~ sQ221_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1812]) ).
fof(f1815,plain,
( ~ sQ78_spl
| sQ196_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1793,f1812,f1443,f383]) ).
fof(f1816,plain,
( ~ sQ78_spl
| sQ130_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1794,f1812,f584,f383]) ).
fof(f1817,plain,
( ~ sQ77_spl
| ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f592]) ).
fof(f1818,plain,
( ~ sQ77_spl
| ~ sQ128_spl ),
inference(contradiction_clause,[status(thm)],[f1817]) ).
fof(f1819,plain,
( ~ sQ76_spl
| ~ sQ151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f378,f914]) ).
fof(f1820,plain,
( ~ sQ76_spl
| ~ sQ151_spl ),
inference(contradiction_clause,[status(thm)],[f1819]) ).
fof(f1821,plain,
! [X0] :
( ~ sQ75_spl
| ~ greater(e_1,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f375,f63]) ).
fof(f1822,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ75_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f375,f1044]) ).
fof(f1823,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ75_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f375,f1045]) ).
fof(f1824,plain,
( ~ sQ75_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f375,f106]) ).
fof(f1825,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f375,f103]) ).
fof(f1826,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f375,f102]) ).
fof(f1827,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f375,f95]) ).
fof(f1828,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f375,f93]) ).
fof(f1829,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f375,f91]) ).
fof(f1830,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f375,f100]) ).
fof(f1831,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f375,f98]) ).
fof(f1832,definition,
! [X0] :
( sQ222_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1833,plain,
! [X0] :
( ~ sQ222_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1832]) ).
fof(f1835,plain,
( ~ sQ15_spl
| ~ sQ75_spl
| sQ159_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f1822,f1832,f908,f374,f168]) ).
fof(f1836,plain,
( ~ sQ15_spl
| ~ sQ75_spl
| sQ160_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f1823,f1832,f919,f374,f168]) ).
fof(f1837,plain,
( ~ sQ75_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1824,f640,f374]) ).
fof(f1838,definition,
! [X0] :
( sQ223_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1839,plain,
! [X0] :
( ~ sQ223_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1838]) ).
fof(f1841,plain,
( ~ sQ75_spl
| sQ134_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f1825,f1838,f640,f374]) ).
fof(f1842,plain,
( ~ sQ75_spl
| sQ153_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f1826,f1838,f840,f374]) ).
fof(f1843,plain,
( ~ sQ53_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f1548,f712,f299]) ).
fof(f1844,definition,
! [X0] :
( sQ224_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1845,plain,
! [X0] :
( ~ sQ224_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1844]) ).
fof(f1847,plain,
( ~ sQ53_spl
| sQ143_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f1549,f1844,f712,f299]) ).
fof(f1848,plain,
( ~ sQ53_spl
| sQ196_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f1550,f1844,f1443,f299]) ).
fof(f1849,plain,
( ~ sQ39_spl
| ~ sQ74_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f371,f1152]) ).
fof(f1850,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ74_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f371,f1156]) ).
fof(f1851,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ74_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f371,f1155]) ).
fof(f1852,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f371,f103]) ).
fof(f1853,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f371,f102]) ).
fof(f1854,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f371,f95]) ).
fof(f1855,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f371,f93]) ).
fof(f1856,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f371,f91]) ).
fof(f1857,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f371,f100]) ).
fof(f1858,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f371,f98]) ).
fof(f1859,plain,
( ~ sQ39_spl
| ~ sQ74_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1849,f640,f370,f247]) ).
fof(f1860,definition,
! [X0] :
( sQ225_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1861,plain,
! [X0] :
( ~ sQ225_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1860]) ).
fof(f1863,plain,
( ~ sQ39_spl
| ~ sQ74_spl
| sQ134_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f1850,f1860,f640,f370,f247]) ).
fof(f1864,plain,
( ~ sQ39_spl
| ~ sQ74_spl
| sQ146_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f1851,f1860,f759,f370,f247]) ).
fof(f1865,definition,
! [X0] :
( sQ226_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1866,plain,
! [X0] :
( ~ sQ226_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1865]) ).
fof(f1868,plain,
( ~ sQ74_spl
| sQ191_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f1852,f1865,f1374,f370]) ).
fof(f1869,plain,
( ~ sQ74_spl
| sQ139_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f1853,f1865,f682,f370]) ).
fof(f1870,plain,
( ~ sQ8_spl
| ~ sQ73_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f368,f694]) ).
fof(f1871,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ73_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f368,f698]) ).
fof(f1872,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ73_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f368,f697]) ).
fof(f1873,plain,
( ~ sQ73_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f368,f105]) ).
fof(f1874,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f368,f103]) ).
fof(f1875,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f368,f102]) ).
fof(f1876,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f368,f95]) ).
fof(f1877,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f368,f93]) ).
fof(f1878,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f368,f91]) ).
fof(f1879,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f368,f100]) ).
fof(f1880,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f368,f98]) ).
fof(f1881,plain,
( ~ sQ8_spl
| ~ sQ73_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1870,f654,f367,f142]) ).
fof(f1882,definition,
! [X0] :
( sQ227_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1883,plain,
! [X0] :
( ~ sQ227_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1882]) ).
fof(f1885,plain,
( ~ sQ8_spl
| ~ sQ73_spl
| sQ136_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f1871,f1882,f654,f367,f142]) ).
fof(f1886,plain,
( ~ sQ8_spl
| ~ sQ73_spl
| sQ146_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f1872,f1882,f759,f367,f142]) ).
fof(f1887,plain,
( ~ sQ73_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f1873,f712,f367]) ).
fof(f1888,definition,
! [X0] :
( sQ228_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1889,plain,
! [X0] :
( ~ sQ228_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1888]) ).
fof(f1891,plain,
( ~ sQ73_spl
| sQ196_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f1874,f1888,f1443,f367]) ).
fof(f1892,plain,
( ~ sQ73_spl
| sQ143_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f1875,f1888,f712,f367]) ).
fof(f1893,plain,
( ~ sQ72_spl
| ~ sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f365,f718]) ).
fof(f1894,plain,
( ~ sQ72_spl
| ~ sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f1893]) ).
fof(f1895,plain,
( ~ sQ193_spl
| ~ sQ71_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f362,f1387]) ).
fof(f1896,plain,
( ~ sQ154_spl
| ~ sQ71_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f362,f846]) ).
fof(f1897,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ71_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f362,f611]) ).
fof(f1898,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ71_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f362,f610]) ).
fof(f1899,plain,
( ~ sQ71_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f362,f106]) ).
fof(f1900,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f362,f103]) ).
fof(f1901,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f362,f102]) ).
fof(f1902,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f362,f95]) ).
fof(f1903,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f362,f93]) ).
fof(f1904,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f362,f91]) ).
fof(f1905,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f362,f100]) ).
fof(f1906,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f362,f98]) ).
fof(f1907,plain,
( ~ sQ154_spl
| ~ sQ71_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f1896,f377,f361,f845]) ).
fof(f1908,definition,
! [X0] :
( sQ229_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1909,plain,
! [X0] :
( ~ sQ229_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1908]) ).
fof(f1911,plain,
( ~ sQ11_spl
| ~ sQ71_spl
| sQ136_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f1897,f1908,f654,f361,f152]) ).
fof(f1912,plain,
( ~ sQ11_spl
| ~ sQ71_spl
| sQ135_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f1898,f1908,f647,f361,f152]) ).
fof(f1913,plain,
( ~ sQ71_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f1899,f919,f361]) ).
fof(f1914,definition,
! [X0] :
( sQ230_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1915,plain,
! [X0] :
( ~ sQ230_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1914]) ).
fof(f1917,plain,
( ~ sQ71_spl
| sQ160_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f1900,f1914,f919,f361]) ).
fof(f1918,plain,
( ~ sQ71_spl
| sQ146_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f1901,f1914,f759,f361]) ).
fof(f1919,plain,
( ~ sQ192_spl
| ~ sQ70_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f359,f1381]) ).
fof(f1920,plain,
( ~ sQ176_spl
| ~ sQ70_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f359,f1181]) ).
fof(f1921,plain,
( ~ sQ178_spl
| ~ sQ70_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f359,f1227]) ).
fof(f1922,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f359,f103]) ).
fof(f1923,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f359,f102]) ).
fof(f1924,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f359,f95]) ).
fof(f1925,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f359,f93]) ).
fof(f1926,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f359,f91]) ).
fof(f1927,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f359,f100]) ).
fof(f1928,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f359,f98]) ).
fof(f1929,plain,
( ~ sQ176_spl
| ~ sQ70_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f1920,f377,f358,f1180]) ).
fof(f1930,definition,
! [X0] :
( sQ231_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1931,plain,
! [X0] :
( ~ sQ231_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1930]) ).
fof(f1933,plain,
( ~ sQ70_spl
| sQ134_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f1922,f1930,f640,f358]) ).
fof(f1934,plain,
( ~ sQ70_spl
| sQ135_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f1923,f1930,f647,f358]) ).
fof(f1935,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ55_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1508,f359]) ).
fof(f1936,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1508,f96]) ).
fof(f1937,definition,
! [X0] :
( sQ232_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1938,plain,
! [X0] :
( ~ sQ232_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1937]) ).
fof(f1940,plain,
( ~ sQ70_spl
| ~ sQ55_spl
| sQ136_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f1935,f1937,f654,f306,f358]) ).
fof(f1941,plain,
( ~ sQ55_spl
| sQ159_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1936,f1516,f908,f306]) ).
fof(f1942,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ55_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1507,f359]) ).
fof(f1943,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1507,f96]) ).
fof(f1944,plain,
( ~ sQ70_spl
| ~ sQ55_spl
| sQ143_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f1942,f1937,f712,f306,f358]) ).
fof(f1945,plain,
( ~ sQ55_spl
| sQ130_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1943,f1516,f584,f306]) ).
fof(f1947,plain,
( ~ sQ221_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f1813,f96]) ).
fof(f1948,plain,
( ~ sQ224_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f1845,f96]) ).
fof(f1950,plain,
( ~ sQ228_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f1889,f96]) ).
fof(f1951,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1927,f359]) ).
fof(f1952,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1927,f96]) ).
fof(f1953,definition,
! [X0] :
( sQ233_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1954,plain,
! [X0] :
( ~ sQ233_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1953]) ).
fof(f1956,plain,
( ~ sQ70_spl
| sQ146_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f1951,f1953,f759,f358]) ).
fof(f1957,plain,
( ~ sQ70_spl
| sQ133_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f1952,f1930,f619,f358]) ).
fof(f1958,plain,
! [X0] :
( ~ sQ233_spl
| ~ product(X0,e_2,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f1954]) ).
fof(f1959,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1928,f359]) ).
fof(f1960,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1928,f96]) ).
fof(f1961,plain,
( ~ sQ70_spl
| sQ196_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f1959,f1953,f1443,f358]) ).
fof(f1962,plain,
( ~ sQ70_spl
| sQ130_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f1960,f1930,f584,f358]) ).
fof(f1963,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ15_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1045,f359]) ).
fof(f1965,definition,
! [X0] :
( sQ234_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1966,plain,
! [X0] :
( ~ sQ234_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1965]) ).
fof(f1968,plain,
( ~ sQ70_spl
| ~ sQ15_spl
| sQ160_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f1963,f1965,f919,f168,f358]) ).
fof(f1970,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ15_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1044,f359]) ).
fof(f1972,plain,
( ~ sQ70_spl
| ~ sQ15_spl
| sQ137_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f1970,f1965,f661,f168,f358]) ).
fof(f1978,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1753,f96]) ).
fof(f1979,plain,
( ~ sQ79_spl
| sQ184_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1978,f1776,f1293,f386]) ).
fof(f1980,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1754,f96]) ).
fof(f1981,plain,
( ~ sQ79_spl
| sQ209_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1980,f1776,f1659,f386]) ).
fof(f1986,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1696,f96]) ).
fof(f1987,plain,
( ~ sQ46_spl
| sQ143_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f1986,f1729,f712,f277]) ).
fof(f1988,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1697,f96]) ).
fof(f1989,plain,
( ~ sQ46_spl
| sQ135_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f1988,f1729,f647,f277]) ).
fof(f1991,plain,
( ~ sQ70_spl
| ~ sQ217_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f1772,f359]) ).
fof(f1995,plain,
( ~ sQ79_spl
| ~ sQ69_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f355,f1751]) ).
fof(f1996,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ69_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f355,f1530]) ).
fof(f1997,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ69_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f355,f1529]) ).
fof(f1998,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ69_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f355,f1754]) ).
fof(f1999,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ69_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f355,f1753]) ).
fof(f2000,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ69_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f355,f1156]) ).
fof(f2001,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ69_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f355,f1155]) ).
fof(f2002,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f355,f103]) ).
fof(f2003,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f355,f102]) ).
fof(f2004,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f355,f95]) ).
fof(f2005,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f355,f93]) ).
fof(f2006,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f355,f91]) ).
fof(f2007,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f355,f100]) ).
fof(f2008,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f355,f98]) ).
fof(f2009,plain,
( ~ sQ79_spl
| ~ sQ69_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1995,f773,f354,f386]) ).
fof(f2010,definition,
! [X0] :
( sQ235_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2011,plain,
! [X0] :
( ~ sQ235_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f2010]) ).
fof(f2013,plain,
( ~ sQ54_spl
| ~ sQ69_spl
| sQ160_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f1996,f2010,f919,f354,f302]) ).
fof(f2014,plain,
( ~ sQ54_spl
| ~ sQ69_spl
| sQ129_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f1997,f2010,f580,f354,f302]) ).
fof(f2015,definition,
! [X0] :
( sQ236_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2016,plain,
! [X0] :
( ~ sQ236_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f2015]) ).
fof(f2018,plain,
( ~ sQ79_spl
| ~ sQ69_spl
| sQ196_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f1998,f2015,f1443,f354,f386]) ).
fof(f2019,plain,
( ~ sQ79_spl
| ~ sQ69_spl
| sQ148_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f1999,f2015,f773,f354,f386]) ).
fof(f2020,definition,
! [X0] :
( sQ237_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f2021,plain,
! [X0] :
( ~ sQ237_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f2020]) ).
fof(f2023,plain,
( ~ sQ39_spl
| ~ sQ69_spl
| sQ134_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f2000,f2020,f640,f354,f247]) ).
fof(f2024,plain,
( ~ sQ39_spl
| ~ sQ69_spl
| sQ132_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f2001,f2020,f615,f354,f247]) ).
fof(f2025,definition,
! [X0] :
( sQ238_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2026,plain,
! [X0] :
( ~ sQ238_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2025]) ).
fof(f2028,plain,
( ~ sQ69_spl
| sQ191_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f2002,f2025,f1374,f354]) ).
fof(f2029,plain,
( ~ sQ69_spl
| sQ126_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f2003,f2025,f556,f354]) ).
fof(f2030,plain,
( ~ sQ238_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f2026,f96]) ).
fof(f2031,plain,
( ~ sQ236_spl
| ~ sQ68_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f352,f2016]) ).
fof(f2032,plain,
( ~ sQ237_spl
| ~ sQ68_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f352,f2021]) ).
fof(f2033,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ68_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f352,f815]) ).
fof(f2034,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ68_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f352,f814]) ).
fof(f2035,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ68_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f352,f698]) ).
fof(f2036,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ68_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f352,f697]) ).
fof(f2037,plain,
( ~ sQ68_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f352,f105]) ).
fof(f2038,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f352,f103]) ).
fof(f2039,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f352,f102]) ).
fof(f2040,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f352,f95]) ).
fof(f2041,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f352,f93]) ).
fof(f2042,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f352,f91]) ).
fof(f2043,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f352,f100]) ).
fof(f2044,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f352,f98]) ).
fof(f2045,plain,
( ~ sQ237_spl
| ~ sQ68_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2032,f359]) ).
fof(f2046,plain,
( ~ sQ237_spl
| ~ sQ68_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f2045]) ).
fof(f2047,plain,
( ~ sQ144_spl
| ~ sQ67_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f349,f734]) ).
fof(f2048,plain,
( ~ sQ67_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f349,f106]) ).
fof(f2049,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f349,f103]) ).
fof(f2050,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f349,f102]) ).
fof(f2051,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f349,f95]) ).
fof(f2052,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f349,f93]) ).
fof(f2053,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f349,f91]) ).
fof(f2054,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f349,f100]) ).
fof(f2055,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f349,f98]) ).
fof(f2056,plain,
( ~ sQ67_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f2048,f654,f348]) ).
fof(f2057,definition,
! [X0] :
( sQ239_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2058,plain,
! [X0] :
( ~ sQ239_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2057]) ).
fof(f2060,plain,
( ~ sQ67_spl
| sQ136_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f2049,f2057,f654,f348]) ).
fof(f2061,plain,
( ~ sQ67_spl
| sQ141_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f2050,f2057,f703,f348]) ).
fof(f2062,plain,
( ~ sQ66_spl
| ~ sQ164_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f346,f998]) ).
fof(f2063,plain,
( ~ sQ66_spl
| ~ sQ164_spl ),
inference(contradiction_clause,[status(thm)],[f2062]) ).
fof(f2064,plain,
( ~ sQ70_spl
| ~ sQ65_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f343,f1925]) ).
fof(f2065,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f343,f1041]) ).
fof(f2066,plain,
( ~ sQ186_spl
| ~ sQ65_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f343,f1335]) ).
fof(f2067,plain,
( ~ sQ180_spl
| ~ sQ65_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f343,f1255]) ).
fof(f2068,plain,
( ~ sQ181_spl
| ~ sQ65_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f343,f1260]) ).
fof(f2069,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ65_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f343,f1044]) ).
fof(f2070,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ65_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f343,f1045]) ).
fof(f2071,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ65_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f343,f1507]) ).
fof(f2072,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ65_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f343,f1508]) ).
fof(f2073,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f343,f103]) ).
fof(f2074,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f343,f102]) ).
fof(f2075,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f343,f95]) ).
fof(f2076,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f343,f93]) ).
fof(f2077,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f343,f91]) ).
fof(f2078,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f343,f100]) ).
fof(f2079,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f343,f98]) ).
fof(f2080,plain,
( ~ sQ70_spl
| ~ sQ65_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f2064,f615,f342,f358]) ).
fof(f2081,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f2065,f919,f342,f168]) ).
fof(f2082,definition,
! [X0] :
( sQ240_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2083,plain,
! [X0] :
( ~ sQ240_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f2082]) ).
fof(f2085,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| sQ141_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f2069,f2082,f703,f342,f168]) ).
fof(f2086,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| sQ160_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f2070,f2082,f919,f342,f168]) ).
fof(f2087,definition,
! [X0] :
( sQ241_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2088,plain,
! [X0] :
( ~ sQ241_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f2087]) ).
fof(f2090,plain,
( ~ sQ55_spl
| ~ sQ65_spl
| sQ129_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f2071,f2087,f580,f342,f306]) ).
fof(f2091,plain,
( ~ sQ55_spl
| ~ sQ65_spl
| sQ136_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f2072,f2087,f654,f342,f306]) ).
fof(f2092,definition,
! [X0] :
( sQ242_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2093,plain,
! [X0] :
( ~ sQ242_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2092]) ).
fof(f2095,plain,
( ~ sQ65_spl
| sQ134_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f2073,f2092,f640,f342]) ).
fof(f2096,plain,
( ~ sQ65_spl
| sQ148_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f2074,f2092,f773,f342]) ).
fof(f2097,plain,
( ~ sQ79_spl
| ~ sQ64_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f339,f1751]) ).
fof(f2098,plain,
( ~ sQ54_spl
| ~ sQ64_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f339,f1526]) ).
fof(f2099,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ64_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f339,f1530]) ).
fof(f2100,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ64_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f339,f1529]) ).
fof(f2101,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ64_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f339,f1754]) ).
fof(f2102,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ64_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f339,f1753]) ).
fof(f2103,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ64_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f339,f1156]) ).
fof(f2104,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ64_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f339,f1155]) ).
fof(f2105,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f339,f103]) ).
fof(f2107,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f339,f95]) ).
fof(f2108,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f339,f93]) ).
fof(f2109,plain,
( ~ sQ64_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f339,f101]) ).
fof(f2110,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_5,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f339,f91]) ).
fof(f2111,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f339,f100]) ).
fof(f2112,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f339,f98]) ).
fof(f2113,plain,
( ~ sQ79_spl
| ~ sQ64_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f2097,f640,f338,f386]) ).
fof(f2114,plain,
( ~ sQ54_spl
| ~ sQ64_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f2098,f919,f338,f302]) ).
fof(f2115,plain,
( ~ sQ54_spl
| ~ sQ64_spl
| sQ160_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f2099,f1844,f919,f338,f302]) ).
fof(f2116,plain,
( ~ sQ54_spl
| ~ sQ64_spl
| sQ196_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f2100,f1844,f1443,f338,f302]) ).
fof(f2117,plain,
( ~ sQ79_spl
| ~ sQ64_spl
| sQ196_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f2101,f1812,f1443,f338,f386]) ).
fof(f2118,plain,
( ~ sQ79_spl
| ~ sQ64_spl
| sQ134_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f2102,f1812,f640,f338,f386]) ).
fof(f2119,plain,
( ~ sQ39_spl
| ~ sQ64_spl
| sQ134_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f2103,f1185,f640,f338,f247]) ).
fof(f2120,plain,
( ~ sQ39_spl
| ~ sQ64_spl
| sQ160_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f2104,f1185,f919,f338,f247]) ).
fof(f2121,definition,
! [X0] :
( sQ243_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2122,plain,
! [X0] :
( ~ sQ243_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2121]) ).
fof(f2124,plain,
( ~ sQ64_spl
| sQ191_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f2105,f2121,f1374,f338]) ).
fof(f2126,plain,
( ~ sQ64_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2109,f1659,f338]) ).
fof(f2127,plain,
( ~ sQ62_spl
| ~ sQ195_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f333,f1447]) ).
fof(f2128,plain,
( ~ sQ62_spl
| ~ sQ195_spl ),
inference(contradiction_clause,[status(thm)],[f2127]) ).
fof(f2129,plain,
( ~ sQ61_spl
| ~ sQ224_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f330,f1948]) ).
fof(f2130,plain,
( ~ sQ61_spl
| ~ sQ224_spl ),
inference(contradiction_clause,[status(thm)],[f2129]) ).
fof(f2131,plain,
( ~ sQ70_spl
| ~ sQ60_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f327,f1925]) ).
fof(f2132,plain,
( ~ sQ55_spl
| ~ sQ60_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f327,f1504]) ).
fof(f2133,plain,
( ~ sQ214_spl
| ~ sQ60_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f327,f1757]) ).
fof(f2134,plain,
( ~ sQ210_spl
| ~ sQ60_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f327,f1711]) ).
fof(f2135,plain,
( ~ sQ213_spl
| ~ sQ60_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f327,f1730]) ).
fof(f2136,plain,
( ~ sQ211_spl
| ~ sQ60_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f327,f1717]) ).
fof(f2137,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ60_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f327,f1044]) ).
fof(f2138,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ60_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f327,f1045]) ).
fof(f2139,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ60_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f327,f1507]) ).
fof(f2140,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ60_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f327,f1508]) ).
fof(f2141,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f327,f103]) ).
fof(f2143,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f327,f95]) ).
fof(f2144,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f327,f93]) ).
fof(f2145,plain,
( ~ sQ60_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f327,f101]) ).
fof(f2146,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f327,f91]) ).
fof(f2147,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f327,f100]) ).
fof(f2148,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f327,f98]) ).
fof(f2149,plain,
( ~ sQ70_spl
| ~ sQ60_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f2131,f919,f326,f358]) ).
fof(f2150,plain,
( ~ sQ55_spl
| ~ sQ60_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f2132,f654,f326,f306]) ).
fof(f2151,plain,
( ~ sQ15_spl
| ~ sQ60_spl
| sQ136_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f2137,f993,f654,f326,f168]) ).
fof(f2152,plain,
( ~ sQ15_spl
| ~ sQ60_spl
| sQ160_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f2138,f993,f919,f326,f168]) ).
fof(f2153,plain,
( ~ sQ55_spl
| ~ sQ60_spl
| sQ196_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f2139,f1439,f1443,f326,f306]) ).
fof(f2154,plain,
( ~ sQ55_spl
| ~ sQ60_spl
| sQ136_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f2140,f1439,f654,f326,f306]) ).
fof(f2155,plain,
( ~ sQ60_spl
| sQ134_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f2141,f1111,f640,f326]) ).
fof(f2157,plain,
( ~ sQ60_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f2145,f584,f326]) ).
fof(f2158,plain,
( ~ sQ238_spl
| ~ sQ99_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f456,f2026]) ).
fof(f2159,plain,
( ~ sQ218_spl
| ~ sQ99_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f456,f1777]) ).
fof(f2160,plain,
( ~ sQ207_spl
| ~ sQ99_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f456,f1597]) ).
fof(f2161,plain,
( ~ sQ190_spl
| ~ sQ99_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f456,f1371]) ).
fof(f2162,plain,
( ~ sQ204_spl
| ~ sQ99_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f456,f1538]) ).
fof(f2163,plain,
( ~ sQ162_spl
| ~ sQ99_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f456,f972]) ).
fof(f2164,plain,
( ~ sQ179_spl
| ~ sQ99_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f456,f1239]) ).
fof(f2165,plain,
( ~ sQ174_spl
| ~ sQ99_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f456,f1158]) ).
fof(f2166,plain,
( ~ sQ171_spl
| ~ sQ99_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f456,f1085]) ).
fof(f2167,plain,
( ~ sQ138_spl
| ~ sQ99_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f456,f679]) ).
fof(f2168,plain,
( ~ sQ156_spl
| ~ sQ99_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f456,f874]) ).
fof(f2169,plain,
( ~ sQ150_spl
| ~ sQ99_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f456,f804]) ).
fof(f2170,plain,
( ~ sQ149_spl
| ~ sQ99_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f456,f789]) ).
fof(f2171,plain,
( ~ sQ125_spl
| ~ sQ99_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f456,f554]) ).
fof(f2172,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ99_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f456,f1530]) ).
fof(f2173,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ99_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f456,f1529]) ).
fof(f2174,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ99_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f456,f1754]) ).
fof(f2175,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ99_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f456,f1753]) ).
fof(f2176,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ99_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f456,f1156]) ).
fof(f2177,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ99_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f456,f1155]) ).
fof(f2178,plain,
( ~ sQ99_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f456,f106]) ).
fof(f2179,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f456,f103]) ).
fof(f2180,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f456,f102]) ).
fof(f2181,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f456,f95]) ).
fof(f2182,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f456,f93]) ).
fof(f2183,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f456,f91]) ).
fof(f2184,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f456,f100]) ).
fof(f2185,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f456,f98]) ).
fof(f2186,plain,
( ~ sQ207_spl
| ~ sQ99_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2160,f306,f455,f1596]) ).
fof(f2187,plain,
( ~ sQ150_spl
| ~ sQ99_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2169,f152,f455,f803]) ).
fof(f2188,plain,
( ~ sQ149_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2170,f96]) ).
fof(f2189,plain,
( ~ sQ149_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f2188]) ).
fof(f2190,plain,
( ~ sQ8_spl
| ~ sQ98_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f453,f695]) ).
fof(f2193,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ98_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f453,f698]) ).
fof(f2194,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ98_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f453,f697]) ).
fof(f2195,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f453,f103]) ).
fof(f2196,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f453,f102]) ).
fof(f2197,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f453,f95]) ).
fof(f2198,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f453,f93]) ).
fof(f2199,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f453,f91]) ).
fof(f2200,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f453,f100]) ).
fof(f2201,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f453,f98]) ).
fof(f2202,plain,
( ~ sQ8_spl
| ~ sQ98_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f2190,f1286,f452,f142]) ).
fof(f2203,definition,
! [X0] :
( sQ244_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2204,plain,
! [X0] :
( ~ sQ244_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f2203]) ).
fof(f2208,definition,
! [X0] :
( sQ245_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2209,plain,
! [X0] :
( ~ sQ245_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f2208]) ).
fof(f2211,plain,
( ~ sQ8_spl
| ~ sQ98_spl
| sQ141_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f2193,f2208,f703,f452,f142]) ).
fof(f2212,plain,
( ~ sQ8_spl
| ~ sQ98_spl
| sQ183_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f2194,f2208,f1286,f452,f142]) ).
fof(f2213,definition,
! [X0] :
( sQ246_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2214,plain,
! [X0] :
( ~ sQ246_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2213]) ).
fof(f2216,plain,
( ~ sQ98_spl
| sQ129_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2195,f2213,f580,f452]) ).
fof(f2217,plain,
( ~ sQ98_spl
| sQ209_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2196,f2213,f1659,f452]) ).
fof(f2218,plain,
( ~ sQ97_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f450,f105]) ).
fof(f2219,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f450,f103]) ).
fof(f2220,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f450,f102]) ).
fof(f2221,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f450,f95]) ).
fof(f2222,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f450,f93]) ).
fof(f2223,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f450,f91]) ).
fof(f2224,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f450,f100]) ).
fof(f2225,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f450,f98]) ).
fof(f2226,plain,
( ~ sQ97_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f2218,f1341,f449]) ).
fof(f2227,definition,
! [X0] :
( sQ247_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2228,plain,
! [X0] :
( ~ sQ247_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2227]) ).
fof(f2230,plain,
( ~ sQ97_spl
| sQ141_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2219,f2227,f703,f449]) ).
fof(f2231,plain,
( ~ sQ97_spl
| sQ187_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2220,f2227,f1341,f449]) ).
fof(f2232,plain,
( ~ sQ243_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f2122,f96]) ).
fof(f2233,plain,
( ~ sQ11_spl
| ~ sQ96_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f447,f608]) ).
fof(f2234,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ96_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f447,f1697]) ).
fof(f2235,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ96_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f447,f1696]) ).
fof(f2236,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ96_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f447,f611]) ).
fof(f2237,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ96_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f447,f610]) ).
fof(f2238,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f447,f103]) ).
fof(f2239,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f447,f102]) ).
fof(f2240,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f447,f95]) ).
fof(f2241,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f447,f93]) ).
fof(f2242,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f447,f91]) ).
fof(f2243,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f447,f100]) ).
fof(f2244,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f447,f98]) ).
fof(f2245,plain,
( ~ sQ11_spl
| ~ sQ96_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f2233,f1293,f446,f152]) ).
fof(f2246,definition,
! [X0] :
( sQ248_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2247,plain,
! [X0] :
( ~ sQ248_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2246]) ).
fof(f2249,plain,
( ~ sQ46_spl
| ~ sQ96_spl
| sQ148_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2234,f2246,f773,f446,f277]) ).
fof(f2250,plain,
( ~ sQ46_spl
| ~ sQ96_spl
| sQ209_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2235,f2246,f1659,f446,f277]) ).
fof(f2251,definition,
! [X0] :
( sQ249_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2252,plain,
! [X0] :
( ~ sQ249_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f2251]) ).
fof(f2254,plain,
( ~ sQ11_spl
| ~ sQ96_spl
| sQ141_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2236,f2251,f703,f446,f152]) ).
fof(f2255,plain,
( ~ sQ11_spl
| ~ sQ96_spl
| sQ184_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2237,f2251,f1293,f446,f152]) ).
fof(f2256,definition,
! [X0] :
( sQ250_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2257,plain,
! [X0] :
( ~ sQ250_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f2256]) ).
fof(f2259,plain,
( ~ sQ96_spl
| sQ132_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2238,f2256,f615,f446]) ).
fof(f2260,plain,
( ~ sQ96_spl
| sQ183_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2239,f2256,f1286,f446]) ).
fof(f2261,definition,
! [X0] :
( sQ251_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2262,plain,
! [X0] :
( ~ sQ251_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f2261]) ).
fof(f2264,plain,
( ~ sQ54_spl
| ~ sQ99_spl
| sQ132_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2172,f2261,f615,f455,f302]) ).
fof(f2265,plain,
( ~ sQ54_spl
| ~ sQ99_spl
| sQ209_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2173,f2261,f1659,f455,f302]) ).
fof(f2266,plain,
( ~ sQ99_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f2178,f556,f455]) ).
fof(f2267,definition,
! [X0] :
( sQ252_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2268,plain,
! [X0] :
( ~ sQ252_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2267]) ).
fof(f2270,plain,
( ~ sQ99_spl
| sQ126_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f2179,f2267,f556,f455]) ).
fof(f2271,definition,
( sQ253_spl
<=> equalish(e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2274,plain,
( ~ sQ99_spl
| sQ253_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f2180,f2267,f2271,f455]) ).
fof(f2275,definition,
! [X0] :
( sQ254_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2276,plain,
! [X0] :
( ~ sQ254_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2275]) ).
fof(f2278,plain,
( ~ sQ37_spl
| sQ159_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f1193,f2275,f908,f241]) ).
fof(f2279,plain,
( ~ sQ37_spl
| sQ137_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f1194,f2275,f661,f241]) ).
fof(f2280,plain,
( ~ sQ38_spl
| ~ sQ233_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f245,f1958]) ).
fof(f2281,plain,
( ~ sQ38_spl
| ~ sQ233_spl ),
inference(contradiction_clause,[status(thm)],[f2280]) ).
fof(f2282,plain,
( ~ sQ181_spl
| ~ sQ65_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f2068,f377,f342,f1259]) ).
fof(f2283,definition,
! [X0] :
( sQ255_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f2284,plain,
! [X0] :
( ~ sQ255_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2283]) ).
fof(f2286,plain,
( ~ sQ47_spl
| sQ159_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f1675,f2283,f908,f280]) ).
fof(f2287,plain,
( ~ sQ47_spl
| sQ136_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f1676,f2283,f654,f280]) ).
fof(f2288,plain,
( ~ sQ254_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f2276,f96]) ).
fof(f2289,plain,
( ~ sQ254_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2288,f133,f2275]) ).
fof(f2290,plain,
( ~ sQ252_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f2268,f96]) ).
fof(f2303,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2200,f96]) ).
fof(f2304,plain,
( ~ sQ98_spl
| sQ191_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2303,f2213,f1374,f452]) ).
fof(f2305,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2201,f96]) ).
fof(f2306,plain,
( ~ sQ98_spl
| sQ136_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2305,f2213,f654,f452]) ).
fof(f2311,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1358,f96]) ).
fof(f2312,plain,
( ~ sQ59_spl
| sQ209_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f2311,f1370,f1659,f318]) ).
fof(f2313,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1359,f96]) ).
fof(f2314,plain,
( ~ sQ59_spl
| sQ187_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f2313,f1370,f1341,f318]) ).
fof(f2318,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1582,f96]) ).
fof(f2319,plain,
( ~ sQ50_spl
| sQ130_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f2318,f1584,f584,f290]) ).
fof(f2320,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1583,f96]) ).
fof(f2321,plain,
( ~ sQ50_spl
| sQ133_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f2320,f1584,f619,f290]) ).
fof(f2322,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1680,f96]) ).
fof(f2323,plain,
( ~ sQ47_spl
| sQ129_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2322,f2283,f580,f280]) ).
fof(f2324,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1681,f96]) ).
fof(f2325,plain,
( ~ sQ47_spl
| sQ148_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2324,f2283,f773,f280]) ).
fof(f2326,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1858,f96]) ).
fof(f2327,plain,
( ~ sQ74_spl
| sQ209_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f2326,f1865,f1659,f370]) ).
fof(f2328,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1857,f96]) ).
fof(f2329,plain,
( ~ sQ74_spl
| sQ183_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f2328,f1865,f1286,f370]) ).
fof(f2332,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2007,f96]) ).
fof(f2333,plain,
( ~ sQ69_spl
| sQ187_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f2332,f2025,f1341,f354]) ).
fof(f2334,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2008,f96]) ).
fof(f2335,plain,
( ~ sQ69_spl
| sQ209_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f2334,f2025,f1659,f354]) ).
fof(f2336,plain,
( ~ sQ98_spl
| ~ sQ95_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f444,f2199]) ).
fof(f2337,plain,
( ~ sQ5_spl
| ~ sQ95_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f444,f766]) ).
fof(f2338,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ95_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f444,f1583]) ).
fof(f2339,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ95_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f444,f1582]) ).
fof(f2340,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ95_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f444,f768]) ).
fof(f2341,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ95_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f444,f769]) ).
fof(f2342,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f444,f103]) ).
fof(f2343,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f444,f102]) ).
fof(f2344,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f444,f95]) ).
fof(f2345,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f444,f93]) ).
fof(f2346,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f444,f91]) ).
fof(f2347,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f444,f100]) ).
fof(f2348,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f444,f98]) ).
fof(f2349,plain,
( ~ sQ98_spl
| ~ sQ95_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f2336,f584,f443,f452]) ).
fof(f2350,plain,
( ~ sQ5_spl
| ~ sQ95_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f2337,f1286,f443,f133]) ).
fof(f2351,plain,
( ~ sQ50_spl
| ~ sQ95_spl
| sQ132_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2338,f2261,f615,f443,f290]) ).
fof(f2352,plain,
( ~ sQ50_spl
| ~ sQ95_spl
| sQ209_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2339,f2261,f1659,f443,f290]) ).
fof(f2353,plain,
( ~ sQ5_spl
| ~ sQ95_spl
| sQ183_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f2340,f2208,f1286,f443,f133]) ).
fof(f2354,plain,
( ~ sQ5_spl
| ~ sQ95_spl
| sQ141_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f2341,f2208,f703,f443,f133]) ).
fof(f2355,definition,
! [X0] :
( sQ256_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2356,plain,
! [X0] :
( ~ sQ256_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2355]) ).
fof(f2358,plain,
( ~ sQ95_spl
| sQ148_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f2342,f2355,f773,f443]) ).
fof(f2359,plain,
( ~ sQ95_spl
| sQ184_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f2343,f2355,f1293,f443]) ).
fof(f2361,plain,
( ~ sQ226_spl
| ~ sQ94_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f440,f1866]) ).
fof(f2362,plain,
( ~ sQ150_spl
| ~ sQ94_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f440,f804]) ).
fof(f2363,plain,
( ~ sQ252_spl
| ~ sQ94_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f440,f2268]) ).
fof(f2364,plain,
( ~ sQ243_spl
| ~ sQ94_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f440,f2122]) ).
fof(f2365,plain,
( ~ sQ238_spl
| ~ sQ94_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f440,f2026]) ).
fof(f2367,plain,
( ~ sQ190_spl
| ~ sQ94_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f440,f1371]) ).
fof(f2368,plain,
( ~ sQ204_spl
| ~ sQ94_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f440,f1538]) ).
fof(f2369,plain,
( ~ sQ162_spl
| ~ sQ94_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f440,f972]) ).
fof(f2370,plain,
( ~ sQ179_spl
| ~ sQ94_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f440,f1239]) ).
fof(f2371,plain,
( ~ sQ174_spl
| ~ sQ94_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f440,f1158]) ).
fof(f2372,plain,
( ~ sQ171_spl
| ~ sQ94_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f440,f1085]) ).
fof(f2373,plain,
( ~ sQ138_spl
| ~ sQ94_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f440,f679]) ).
fof(f2374,plain,
( ~ sQ156_spl
| ~ sQ94_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f440,f874]) ).
fof(f2375,plain,
( ~ sQ125_spl
| ~ sQ94_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f440,f554]) ).
fof(f2376,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ94_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f440,f2008]) ).
fof(f2377,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ94_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f440,f2007]) ).
fof(f2378,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ94_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f440,f1857]) ).
fof(f2379,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ94_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f440,f1858]) ).
fof(f2380,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ94_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f440,f1359]) ).
fof(f2381,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ94_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f440,f1358]) ).
fof(f2382,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ94_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f440,f802]) ).
fof(f2383,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ94_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f440,f801]) ).
fof(f2384,plain,
( ~ sQ94_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f440,f106]) ).
fof(f2385,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f440,f103]) ).
fof(f2386,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f440,f102]) ).
fof(f2387,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f440,f95]) ).
fof(f2388,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f440,f93]) ).
fof(f2389,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_5,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f440,f91]) ).
fof(f2390,plain,
! [X0,X1,X2] :
( ~ sQ94_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f440,f100]) ).
fof(f2391,plain,
! [X0,X1,X2] :
( ~ sQ94_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f440,f98]) ).
fof(f2393,plain,
( ~ sQ238_spl
| ~ sQ94_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2365,f177,f439,f2025]) ).
fof(f2394,plain,
( ~ sQ156_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2374,f96]) ).
fof(f2395,plain,
( ~ sQ156_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f2394]) ).
fof(f2396,plain,
( ~ sQ18_spl
| ~ sQ93_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f437,f983]) ).
fof(f2397,plain,
( ~ sQ98_spl
| ~ sQ93_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f437,f2197]) ).
fof(f2398,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ93_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f437,f2201]) ).
fof(f2399,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ93_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f437,f2200]) ).
fof(f2400,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ93_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f437,f986]) ).
fof(f2401,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ93_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f437,f985]) ).
fof(f2402,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ93_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f437,f1173]) ).
fof(f2403,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ93_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f437,f1172]) ).
fof(f2404,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f437,f103]) ).
fof(f2405,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f437,f102]) ).
fof(f2406,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f437,f95]) ).
fof(f2407,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f437,f93]) ).
fof(f2408,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_4,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f437,f91]) ).
fof(f2409,plain,
! [X0,X1,X2] :
( ~ sQ93_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f437,f100]) ).
fof(f2410,plain,
! [X0,X1,X2] :
( ~ sQ93_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f437,f98]) ).
fof(f2411,plain,
( ~ sQ18_spl
| ~ sQ93_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f2396,f1341,f436,f177]) ).
fof(f2412,plain,
( ~ sQ98_spl
| ~ sQ93_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f2397,f661,f436,f452]) ).
fof(f2413,definition,
! [X0] :
( sQ257_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2414,plain,
! [X0] :
( ~ sQ257_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f2413]) ).
fof(f2416,plain,
( ~ sQ98_spl
| ~ sQ93_spl
| sQ137_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f2398,f2413,f661,f436,f452]) ).
fof(f2417,plain,
( ~ sQ98_spl
| ~ sQ93_spl
| sQ253_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f2399,f2413,f2271,f436,f452]) ).
fof(f2418,definition,
! [X0] :
( sQ258_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2419,plain,
! [X0] :
( ~ sQ258_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f2418]) ).
fof(f2421,plain,
( ~ sQ18_spl
| ~ sQ93_spl
| sQ146_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f2400,f2418,f759,f436,f177]) ).
fof(f2422,plain,
( ~ sQ18_spl
| ~ sQ93_spl
| sQ187_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f2401,f2418,f1341,f436,f177]) ).
fof(f2423,definition,
! [X0] :
( sQ259_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2424,plain,
! [X0] :
( ~ sQ259_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f2423]) ).
fof(f2426,plain,
( ~ sQ38_spl
| ~ sQ93_spl
| sQ135_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f2402,f2423,f647,f436,f244]) ).
fof(f2427,plain,
( ~ sQ38_spl
| ~ sQ93_spl
| sQ183_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f2403,f2423,f1286,f436,f244]) ).
fof(f2428,definition,
! [X0] :
( sQ260_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2429,plain,
! [X0] :
( ~ sQ260_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2428]) ).
fof(f2431,plain,
( ~ sQ93_spl
| sQ143_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f2404,f2428,f712,f436]) ).
fof(f2432,plain,
( ~ sQ93_spl
| sQ209_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f2405,f2428,f1659,f436]) ).
fof(f2433,plain,
( ~ sQ251_spl
| ~ sQ92_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f434,f2262]) ).
fof(f2434,plain,
( ~ sQ248_spl
| ~ sQ92_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f434,f2247]) ).
fof(f2435,plain,
( ~ sQ249_spl
| ~ sQ92_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f434,f2252]) ).
fof(f2436,plain,
( ~ sQ250_spl
| ~ sQ92_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f434,f2257]) ).
fof(f2437,plain,
( ~ sQ244_spl
| ~ sQ92_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f434,f2204]) ).
fof(f2438,plain,
( ~ sQ245_spl
| ~ sQ92_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f434,f2209]) ).
fof(f2439,plain,
( ~ sQ247_spl
| ~ sQ92_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f434,f2228]) ).
fof(f2440,plain,
( ~ sQ246_spl
| ~ sQ92_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f434,f2214]) ).
fof(f2441,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ92_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f434,f1681]) ).
fof(f2442,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ92_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f434,f1680]) ).
fof(f2443,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f434,f103]) ).
fof(f2444,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f434,f102]) ).
fof(f2445,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f434,f95]) ).
fof(f2446,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f434,f93]) ).
fof(f2447,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_3,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f434,f91]) ).
fof(f2448,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f434,f100]) ).
fof(f2449,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f434,f98]) ).
fof(f2450,plain,
( ~ sQ248_spl
| ~ sQ92_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2434,f290,f433,f2246]) ).
fof(f2451,plain,
( ~ sQ250_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2436,f96]) ).
fof(f2452,plain,
( ~ sQ250_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f2451]) ).
fof(f2453,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ91_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f431,f611]) ).
fof(f2454,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ91_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f431,f610]) ).
fof(f2455,plain,
( ~ sQ91_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f431,f105]) ).
fof(f2456,plain,
! [X0] :
( ~ sQ91_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f431,f103]) ).
fof(f2457,plain,
! [X0] :
( ~ sQ91_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f431,f102]) ).
fof(f2458,plain,
! [X0] :
( ~ sQ91_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f431,f95]) ).
fof(f2459,plain,
! [X0] :
( ~ sQ91_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f431,f93]) ).
fof(f2460,plain,
! [X0] :
( ~ sQ91_spl
| equalish(e_2,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f431,f91]) ).
fof(f2461,plain,
! [X0,X1,X2] :
( ~ sQ91_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f431,f100]) ).
fof(f2462,plain,
! [X0,X1,X2] :
( ~ sQ91_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f431,f98]) ).
fof(f2463,definition,
! [X0] :
( sQ261_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2464,plain,
! [X0] :
( ~ sQ261_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f2463]) ).
fof(f2466,plain,
( ~ sQ11_spl
| ~ sQ91_spl
| sQ137_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2453,f2463,f661,f430,f152]) ).
fof(f2467,plain,
( ~ sQ11_spl
| ~ sQ91_spl
| sQ184_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2454,f2463,f1293,f430,f152]) ).
fof(f2468,plain,
( ~ sQ91_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f2455,f1286,f430]) ).
fof(f2469,definition,
! [X0] :
( sQ262_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f2470,plain,
! [X0] :
( ~ sQ262_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f2469]) ).
fof(f2472,plain,
( ~ sQ91_spl
| sQ146_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f2456,f2469,f759,f430]) ).
fof(f2473,plain,
( ~ sQ91_spl
| sQ183_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f2457,f2469,f1286,f430]) ).
fof(f2474,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ90_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f428,f1583]) ).
fof(f2476,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ90_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f428,f768]) ).
fof(f2477,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ90_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f428,f769]) ).
fof(f2478,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f428,f103]) ).
fof(f2479,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f428,f102]) ).
fof(f2480,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f428,f95]) ).
fof(f2481,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f428,f93]) ).
fof(f2482,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_1,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f428,f91]) ).
fof(f2483,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f428,f100]) ).
fof(f2484,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f428,f98]) ).
fof(f2485,definition,
! [X0] :
( sQ263_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2486,plain,
! [X0] :
( ~ sQ263_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f2485]) ).
fof(f2488,plain,
( ~ sQ50_spl
| ~ sQ90_spl
| sQ146_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f2474,f2485,f759,f427,f290]) ).
fof(f2490,definition,
! [X0] :
( sQ264_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2491,plain,
! [X0] :
( ~ sQ264_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f2490]) ).
fof(f2493,plain,
( ~ sQ5_spl
| ~ sQ90_spl
| sQ183_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f2476,f2490,f1286,f427,f133]) ).
fof(f2494,plain,
( ~ sQ5_spl
| ~ sQ90_spl
| sQ137_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f2477,f2490,f661,f427,f133]) ).
fof(f2495,definition,
! [X0] :
( sQ265_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2496,plain,
! [X0] :
( ~ sQ265_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2495]) ).
fof(f2498,plain,
( ~ sQ90_spl
| sQ135_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f2478,f2495,f647,f427]) ).
fof(f2499,plain,
( ~ sQ90_spl
| sQ184_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f2479,f2495,f1293,f427]) ).
fof(f2500,plain,
( ~ sQ226_spl
| ~ sQ89_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f424,f1866]) ).
fof(f2501,plain,
( ~ sQ150_spl
| ~ sQ89_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f424,f804]) ).
fof(f2502,plain,
( ~ sQ252_spl
| ~ sQ89_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f424,f2268]) ).
fof(f2503,plain,
( ~ sQ243_spl
| ~ sQ89_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f424,f2122]) ).
fof(f2504,plain,
( ~ sQ238_spl
| ~ sQ89_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f424,f2026]) ).
fof(f2505,plain,
( ~ sQ218_spl
| ~ sQ89_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f424,f1777]) ).
fof(f2506,plain,
( ~ sQ190_spl
| ~ sQ89_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f424,f1371]) ).
fof(f2507,plain,
( ~ sQ204_spl
| ~ sQ89_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f424,f1538]) ).
fof(f2508,plain,
( ~ sQ162_spl
| ~ sQ89_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f424,f972]) ).
fof(f2509,plain,
( ~ sQ179_spl
| ~ sQ89_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f424,f1239]) ).
fof(f2510,plain,
( ~ sQ174_spl
| ~ sQ89_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f424,f1158]) ).
fof(f2511,plain,
( ~ sQ171_spl
| ~ sQ89_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f424,f1085]) ).
fof(f2512,plain,
( ~ sQ138_spl
| ~ sQ89_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f424,f679]) ).
fof(f2513,plain,
( ~ sQ125_spl
| ~ sQ89_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f424,f554]) ).
fof(f2514,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ89_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f424,f2008]) ).
fof(f2515,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ89_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f424,f2007]) ).
fof(f2516,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ89_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f424,f1857]) ).
fof(f2517,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ89_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f424,f1858]) ).
fof(f2518,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ89_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f424,f1359]) ).
fof(f2519,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ89_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f424,f1358]) ).
fof(f2522,plain,
( ~ sQ89_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f424,f106]) ).
fof(f2523,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f424,f103]) ).
fof(f2524,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f424,f102]) ).
fof(f2525,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f424,f95]) ).
fof(f2526,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f424,f93]) ).
fof(f2527,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_5,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f424,f91]) ).
fof(f2528,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f424,f100]) ).
fof(f2529,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f424,f98]) ).
fof(f2530,plain,
( ~ sQ226_spl
| ~ sQ89_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2500,f244,f423,f1865]) ).
fof(f2531,plain,
( ~ sQ190_spl
| ~ sQ89_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2506,f280,f423,f1370]) ).
fof(f2532,plain,
( ~ sQ171_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2511,f96]) ).
fof(f2533,plain,
( ~ sQ171_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f2532]) ).
fof(f2534,plain,
( ~ sQ38_spl
| ~ sQ88_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f421,f1170]) ).
fof(f2535,plain,
( ~ sQ98_spl
| ~ sQ88_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f421,f2197]) ).
fof(f2536,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ88_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f421,f2201]) ).
fof(f2537,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ88_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f421,f2200]) ).
fof(f2538,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ88_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f421,f986]) ).
fof(f2539,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ88_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f421,f985]) ).
fof(f2540,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ88_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f421,f1173]) ).
fof(f2541,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ88_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f421,f1172]) ).
fof(f2542,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f421,f103]) ).
fof(f2543,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f421,f102]) ).
fof(f2544,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f421,f95]) ).
fof(f2545,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f421,f93]) ).
fof(f2546,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f421,f91]) ).
fof(f2547,plain,
! [X0,X1,X2] :
( ~ sQ88_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f421,f100]) ).
fof(f2548,plain,
! [X0,X1,X2] :
( ~ sQ88_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f421,f98]) ).
fof(f2549,plain,
( ~ sQ38_spl
| ~ sQ88_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f2534,f1286,f420,f244]) ).
fof(f2550,plain,
( ~ sQ98_spl
| ~ sQ88_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f2535,f908,f420,f452]) ).
fof(f2551,definition,
! [X0] :
( sQ266_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2552,plain,
! [X0] :
( ~ sQ266_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f2551]) ).
fof(f2554,plain,
( ~ sQ98_spl
| ~ sQ88_spl
| sQ159_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2536,f2551,f908,f420,f452]) ).
fof(f2555,plain,
( ~ sQ98_spl
| ~ sQ88_spl
| sQ253_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2537,f2551,f2271,f420,f452]) ).
fof(f2556,definition,
! [X0] :
( sQ267_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2557,plain,
! [X0] :
( ~ sQ267_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f2556]) ).
fof(f2559,plain,
( ~ sQ18_spl
| ~ sQ88_spl
| sQ133_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2538,f2556,f619,f420,f177]) ).
fof(f2560,plain,
( ~ sQ18_spl
| ~ sQ88_spl
| sQ187_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2539,f2556,f1341,f420,f177]) ).
fof(f2561,definition,
! [X0] :
( sQ268_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2562,plain,
! [X0] :
( ~ sQ268_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f2561]) ).
fof(f2564,plain,
( ~ sQ38_spl
| ~ sQ88_spl
| sQ153_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f2540,f2561,f840,f420,f244]) ).
fof(f2565,plain,
( ~ sQ38_spl
| ~ sQ88_spl
| sQ183_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f2541,f2561,f1286,f420,f244]) ).
fof(f2566,definition,
! [X0] :
( sQ269_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2567,plain,
! [X0] :
( ~ sQ269_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2566]) ).
fof(f2569,plain,
( ~ sQ88_spl
| sQ130_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f2542,f2566,f584,f420]) ).
fof(f2570,plain,
( ~ sQ88_spl
| sQ209_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f2543,f2566,f1659,f420]) ).
fof(f2571,plain,
( ~ sQ251_spl
| ~ sQ87_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f418,f2262]) ).
fof(f2572,plain,
( ~ sQ249_spl
| ~ sQ87_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f418,f2252]) ).
fof(f2573,plain,
( ~ sQ244_spl
| ~ sQ87_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f418,f2204]) ).
fof(f2574,plain,
( ~ sQ245_spl
| ~ sQ87_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f418,f2209]) ).
fof(f2575,plain,
( ~ sQ247_spl
| ~ sQ87_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f418,f2228]) ).
fof(f2576,plain,
( ~ sQ246_spl
| ~ sQ87_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f418,f2214]) ).
fof(f2577,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f418,f103]) ).
fof(f2578,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f418,f102]) ).
fof(f2579,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f418,f95]) ).
fof(f2581,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f418,f91]) ).
fof(f2582,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f418,f100]) ).
fof(f2583,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f418,f98]) ).
fof(f2584,plain,
( ~ sQ251_spl
| ~ sQ87_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2571,f277,f417,f2261]) ).
fof(f2585,definition,
! [X0] :
( sQ270_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2586,plain,
! [X0] :
( ~ sQ270_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2585]) ).
fof(f2588,plain,
( ~ sQ87_spl
| sQ159_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2577,f2585,f908,f417]) ).
fof(f2589,plain,
( ~ sQ87_spl
| sQ187_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2578,f2585,f1341,f417]) ).
fof(f2590,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2483,f428]) ).
fof(f2591,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2483,f96]) ).
fof(f2592,definition,
! [X0] :
( sQ271_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f2593,plain,
! [X0] :
( ~ sQ271_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f2592]) ).
fof(f2595,plain,
( ~ sQ90_spl
| sQ253_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f2590,f2592,f2271,f427]) ).
fof(f2596,plain,
( ~ sQ90_spl
| sQ127_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f2591,f2495,f560,f427]) ).
fof(f2597,plain,
! [X0] :
( ~ sQ271_spl
| ~ product(X0,e_5,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f2593]) ).
fof(f2598,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2484,f428]) ).
fof(f2599,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2484,f96]) ).
fof(f2600,plain,
( ~ sQ90_spl
| sQ146_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f2598,f2592,f759,f427]) ).
fof(f2601,plain,
( ~ sQ90_spl
| sQ133_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f2599,f2495,f619,f427]) ).
fof(f2606,plain,
( ~ sQ90_spl
| ~ sQ269_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f2567,f428]) ).
fof(f2607,plain,
( ~ sQ90_spl
| ~ sQ270_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f2586,f428]) ).
fof(f2608,plain,
( ~ sQ90_spl
| ~ sQ268_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f2562,f428]) ).
fof(f2609,plain,
( ~ sQ90_spl
| ~ sQ267_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f2557,f428]) ).
fof(f2613,plain,
( ~ sQ86_spl
| ~ sQ271_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f415,f2597]) ).
fof(f2614,plain,
( ~ sQ86_spl
| ~ sQ271_spl ),
inference(contradiction_clause,[status(thm)],[f2613]) ).
fof(f2623,plain,
( ~ sQ90_spl
| ~ sQ85_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f412,f2480]) ).
fof(f2624,plain,
( ~ sQ267_spl
| ~ sQ85_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f412,f2557]) ).
fof(f2625,plain,
( ~ sQ268_spl
| ~ sQ85_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f412,f2562]) ).
fof(f2626,plain,
( ~ sQ270_spl
| ~ sQ85_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f412,f2586]) ).
fof(f2627,plain,
( ~ sQ269_spl
| ~ sQ85_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f412,f2567]) ).
fof(f2628,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ85_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f412,f2483]) ).
fof(f2629,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ85_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f412,f2484]) ).
fof(f2630,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ85_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f412,f768]) ).
fof(f2631,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ85_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f412,f769]) ).
fof(f2632,plain,
( ~ sQ85_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f412,f105]) ).
fof(f2633,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f412,f103]) ).
fof(f2634,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f412,f102]) ).
fof(f2635,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f412,f95]) ).
fof(f2636,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f412,f93]) ).
fof(f2637,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f412,f91]) ).
fof(f2638,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f412,f100]) ).
fof(f2639,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f412,f98]) ).
fof(f2640,plain,
( ~ sQ90_spl
| ~ sQ85_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f2623,f619,f411,f427]) ).
fof(f2641,definition,
! [X0] :
( sQ272_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2642,plain,
! [X0] :
( ~ sQ272_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f2641]) ).
fof(f2644,plain,
( ~ sQ90_spl
| ~ sQ85_spl
| sQ253_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f2628,f2641,f2271,f411,f427]) ).
fof(f2645,plain,
( ~ sQ90_spl
| ~ sQ85_spl
| sQ133_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f2629,f2641,f619,f411,f427]) ).
fof(f2646,definition,
! [X0] :
( sQ273_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2647,plain,
! [X0] :
( ~ sQ273_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f2646]) ).
fof(f2649,plain,
( ~ sQ5_spl
| ~ sQ85_spl
| sQ183_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f2630,f2646,f1286,f411,f133]) ).
fof(f2650,plain,
( ~ sQ5_spl
| ~ sQ85_spl
| sQ159_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f2631,f2646,f908,f411,f133]) ).
fof(f2651,plain,
( ~ sQ85_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f2632,f1293,f411]) ).
fof(f2652,definition,
! [X0] :
( sQ274_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2653,plain,
! [X0] :
( ~ sQ274_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2652]) ).
fof(f2655,plain,
( ~ sQ85_spl
| sQ153_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f2633,f2652,f840,f411]) ).
fof(f2656,plain,
( ~ sQ85_spl
| sQ184_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f2634,f2652,f1293,f411]) ).
fof(f2657,plain,
( ~ sQ90_spl
| ~ sQ274_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f2653,f428]) ).
fof(f2663,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2582,f96]) ).
fof(f2664,plain,
( ~ sQ87_spl
| sQ126_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2663,f2585,f556,f417]) ).
fof(f2665,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2583,f96]) ).
fof(f2666,plain,
( ~ sQ87_spl
| sQ148_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2665,f2585,f773,f417]) ).
fof(f2667,plain,
( ~ sQ90_spl
| ~ sQ273_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f2647,f428]) ).
fof(f2668,plain,
( ~ sQ69_spl
| ~ sQ84_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f408,f2005]) ).
fof(f2669,plain,
( ~ sQ74_spl
| ~ sQ84_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f408,f1855]) ).
fof(f2670,plain,
( ~ sQ207_spl
| ~ sQ84_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f408,f1597]) ).
fof(f2671,plain,
( ~ sQ226_spl
| ~ sQ84_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f408,f1866]) ).
fof(f2672,plain,
( ~ sQ150_spl
| ~ sQ84_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f408,f804]) ).
fof(f2673,plain,
( ~ sQ252_spl
| ~ sQ84_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f408,f2268]) ).
fof(f2674,plain,
( ~ sQ243_spl
| ~ sQ84_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f408,f2122]) ).
fof(f2675,plain,
( ~ sQ238_spl
| ~ sQ84_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f408,f2026]) ).
fof(f2676,plain,
( ~ sQ218_spl
| ~ sQ84_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f408,f1777]) ).
fof(f2677,plain,
( ~ sQ190_spl
| ~ sQ84_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f408,f1371]) ).
fof(f2678,plain,
( ~ sQ204_spl
| ~ sQ84_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f408,f1538]) ).
fof(f2679,plain,
( ~ sQ162_spl
| ~ sQ84_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f408,f972]) ).
fof(f2680,plain,
( ~ sQ179_spl
| ~ sQ84_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f408,f1239]) ).
fof(f2681,plain,
( ~ sQ174_spl
| ~ sQ84_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f408,f1158]) ).
fof(f2682,plain,
( ~ sQ138_spl
| ~ sQ84_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f408,f679]) ).
fof(f2683,plain,
( ~ sQ125_spl
| ~ sQ84_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f408,f554]) ).
fof(f2684,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ84_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f408,f1595]) ).
fof(f2685,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ84_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f408,f1594]) ).
fof(f2686,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ84_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f408,f2008]) ).
fof(f2687,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ84_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f408,f2007]) ).
fof(f2688,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ84_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f408,f1857]) ).
fof(f2689,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ84_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f408,f1858]) ).
fof(f2690,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ84_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f408,f1359]) ).
fof(f2691,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ84_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f408,f1358]) ).
fof(f2694,plain,
( ~ sQ84_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f408,f106]) ).
fof(f2695,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f408,f103]) ).
fof(f2696,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f408,f102]) ).
fof(f2697,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f408,f95]) ).
fof(f2698,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f408,f93]) ).
fof(f2699,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_5,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f408,f91]) ).
fof(f2700,plain,
! [X0,X1,X2] :
( ~ sQ84_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f408,f100]) ).
fof(f2701,plain,
! [X0,X1,X2] :
( ~ sQ84_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f408,f98]) ).
fof(f2702,plain,
( ~ sQ69_spl
| ~ sQ84_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f2668,f1341,f407,f354]) ).
fof(f2703,plain,
( ~ sQ74_spl
| ~ sQ84_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f2669,f1286,f407,f370]) ).
fof(f2704,plain,
( ~ sQ150_spl
| ~ sQ84_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f2672,f377,f407,f803]) ).
fof(f2705,plain,
( ~ sQ243_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2674,f96]) ).
fof(f2706,plain,
( ~ sQ243_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f2705]) ).
fof(f2707,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f405,f2197]) ).
fof(f2708,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ83_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f405,f2201]) ).
fof(f2709,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ83_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f405,f2200]) ).
fof(f2710,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ83_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f405,f986]) ).
fof(f2711,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ83_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f405,f985]) ).
fof(f2712,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ83_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f405,f1173]) ).
fof(f2713,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ83_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f405,f1172]) ).
fof(f2714,plain,
( ~ sQ83_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f405,f105]) ).
fof(f2715,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f405,f103]) ).
fof(f2716,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f405,f102]) ).
fof(f2717,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f405,f95]) ).
fof(f2718,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f405,f93]) ).
fof(f2719,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f405,f91]) ).
fof(f2720,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f405,f100]) ).
fof(f2721,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f405,f98]) ).
fof(f2722,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f2707,f654,f404,f452]) ).
fof(f2723,definition,
! [X0] :
( sQ275_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f2724,plain,
! [X0] :
( ~ sQ275_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f2723]) ).
fof(f2726,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| sQ136_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f2708,f2723,f654,f404,f452]) ).
fof(f2727,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| sQ253_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f2709,f2723,f2271,f404,f452]) ).
fof(f2728,definition,
! [X0] :
( sQ276_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2729,plain,
! [X0] :
( ~ sQ276_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f2728]) ).
fof(f2731,plain,
( ~ sQ18_spl
| ~ sQ83_spl
| sQ160_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f2710,f2728,f919,f404,f177]) ).
fof(f2732,plain,
( ~ sQ18_spl
| ~ sQ83_spl
| sQ187_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f2711,f2728,f1341,f404,f177]) ).
fof(f2733,definition,
! [X0] :
( sQ277_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f2734,plain,
! [X0] :
( ~ sQ277_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f2733]) ).
fof(f2736,plain,
( ~ sQ38_spl
| ~ sQ83_spl
| sQ134_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f2712,f2733,f640,f404,f244]) ).
fof(f2737,plain,
( ~ sQ38_spl
| ~ sQ83_spl
| sQ183_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f2713,f2733,f1286,f404,f244]) ).
fof(f2738,plain,
( ~ sQ83_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2714,f1659,f404]) ).
fof(f2739,definition,
! [X0] :
( sQ278_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f2740,plain,
! [X0] :
( ~ sQ278_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2739]) ).
fof(f2742,plain,
( ~ sQ83_spl
| sQ196_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f2715,f2739,f1443,f404]) ).
fof(f2743,plain,
( ~ sQ83_spl
| sQ209_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f2716,f2739,f1659,f404]) ).
fof(f2744,plain,
( ~ sQ87_spl
| ~ sQ82_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f402,f2579]) ).
fof(f2746,plain,
( ~ sQ266_spl
| ~ sQ82_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f402,f2552]) ).
fof(f2747,plain,
( ~ sQ256_spl
| ~ sQ82_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f402,f2356]) ).
fof(f2748,plain,
( ~ sQ249_spl
| ~ sQ82_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f402,f2252]) ).
fof(f2749,plain,
( ~ sQ244_spl
| ~ sQ82_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f402,f2204]) ).
fof(f2750,plain,
( ~ sQ245_spl
| ~ sQ82_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f402,f2209]) ).
fof(f2751,plain,
( ~ sQ247_spl
| ~ sQ82_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f402,f2228]) ).
fof(f2752,plain,
( ~ sQ246_spl
| ~ sQ82_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f402,f2214]) ).
fof(f2753,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ82_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f402,f2583]) ).
fof(f2754,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ82_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f402,f2582]) ).
fof(f2755,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f402,f103]) ).
fof(f2756,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f402,f102]) ).
fof(f2757,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f402,f95]) ).
fof(f2758,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f402,f93]) ).
fof(f2759,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f402,f91]) ).
fof(f2760,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f402,f100]) ).
fof(f2761,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f402,f98]) ).
fof(f2762,plain,
( ~ sQ87_spl
| ~ sQ82_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f2744,f640,f401,f417]) ).
fof(f2763,plain,
( ~ sQ244_spl
| ~ sQ82_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f2749,f377,f401,f2203]) ).
fof(f2764,plain,
( ~ sQ246_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2752,f96]) ).
fof(f2765,plain,
( ~ sQ246_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f2764]) ).
fof(f2766,plain,
( ~ sQ272_spl
| ~ sQ81_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f399,f2642]) ).
fof(f2767,plain,
( ~ sQ260_spl
| ~ sQ81_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f399,f2429]) ).
fof(f2768,plain,
( ~ sQ262_spl
| ~ sQ81_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f399,f2470]) ).
fof(f2769,plain,
( ~ sQ265_spl
| ~ sQ81_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f399,f2496]) ).
fof(f2770,plain,
( ~ sQ259_spl
| ~ sQ81_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f399,f2424]) ).
fof(f2771,plain,
( ~ sQ258_spl
| ~ sQ81_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f399,f2419]) ).
fof(f2772,plain,
( ~ sQ261_spl
| ~ sQ81_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f399,f2464]) ).
fof(f2773,plain,
( ~ sQ264_spl
| ~ sQ81_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f399,f2491]) ).
fof(f2774,plain,
( ~ sQ263_spl
| ~ sQ81_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f399,f2486]) ).
fof(f2775,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ81_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f399,f611]) ).
fof(f2776,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ81_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f399,f610]) ).
fof(f2777,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f399,f103]) ).
fof(f2778,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f399,f102]) ).
fof(f2779,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f399,f95]) ).
fof(f2780,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f399,f93]) ).
fof(f2781,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f399,f91]) ).
fof(f2782,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f399,f100]) ).
fof(f2783,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f399,f98]) ).
fof(f2784,plain,
( ~ sQ260_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2767,f96]) ).
fof(f2785,plain,
( ~ sQ260_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f2784]) ).
fof(f2786,plain,
( ~ sQ273_spl
| ~ sQ80_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f396,f2647]) ).
fof(f2787,plain,
( ~ sQ274_spl
| ~ sQ80_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f396,f2653]) ).
fof(f2788,plain,
( ~ sQ90_spl
| ~ sQ80_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f396,f2480]) ).
fof(f2789,plain,
( ~ sQ267_spl
| ~ sQ80_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f396,f2557]) ).
fof(f2790,plain,
( ~ sQ268_spl
| ~ sQ80_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f396,f2562]) ).
fof(f2791,plain,
( ~ sQ270_spl
| ~ sQ80_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f396,f2586]) ).
fof(f2792,plain,
( ~ sQ269_spl
| ~ sQ80_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f396,f2567]) ).
fof(f2793,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ80_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f396,f2483]) ).
fof(f2794,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ80_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f396,f2484]) ).
fof(f2795,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ80_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f396,f768]) ).
fof(f2796,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ80_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f396,f769]) ).
fof(f2797,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f396,f103]) ).
fof(f2798,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f396,f102]) ).
fof(f2800,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f396,f93]) ).
fof(f2801,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_1,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f396,f91]) ).
fof(f2802,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f396,f100]) ).
fof(f2803,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f396,f98]) ).
fof(f2804,plain,
( ~ sQ90_spl
| ~ sQ80_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f2788,f919,f395,f427]) ).
fof(f2805,plain,
( ~ sQ269_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2792,f96]) ).
fof(f2806,plain,
( ~ sQ269_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f2805]) ).
fof(f2807,definition,
! [X0] :
( sQ279_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2808,plain,
! [X0] :
( ~ sQ279_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f2807]) ).
fof(f2810,plain,
( ~ sQ5_spl
| ~ sQ80_spl
| sQ183_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f2795,f2807,f1286,f395,f133]) ).
fof(f2811,plain,
( ~ sQ5_spl
| ~ sQ80_spl
| sQ136_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f2796,f2807,f654,f395,f133]) ).
fof(f2812,definition,
! [X0] :
( sQ280_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2813,plain,
! [X0] :
( ~ sQ280_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2812]) ).
fof(f2815,plain,
( ~ sQ80_spl
| sQ134_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f2797,f2812,f640,f395]) ).
fof(f2816,plain,
( ~ sQ80_spl
| sQ184_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f2798,f2812,f1293,f395]) ).
fof(f2817,plain,
( ~ sQ267_spl
| ~ sQ80_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f2789,f345,f395,f2556]) ).
fof(f2818,definition,
! [X0] :
( sQ281_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2819,plain,
! [X0] :
( ~ sQ281_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f2818]) ).
fof(f2821,plain,
( ~ sQ74_spl
| ~ sQ94_spl
| sQ183_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f2378,f2818,f1286,f439,f370]) ).
fof(f2822,plain,
( ~ sQ74_spl
| ~ sQ94_spl
| sQ143_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f2379,f2818,f712,f439,f370]) ).
fof(f2823,definition,
! [X0] :
( sQ282_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2824,plain,
! [X0] :
( ~ sQ282_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f2823]) ).
fof(f2826,plain,
( ~ sQ59_spl
| ~ sQ94_spl
| sQ137_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f2380,f2823,f661,f439,f318]) ).
fof(f2827,plain,
( ~ sQ59_spl
| ~ sQ94_spl
| sQ209_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f2381,f2823,f1659,f439,f318]) ).
fof(f2828,plain,
( ~ sQ94_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f2384,f682,f439]) ).
fof(f2829,definition,
! [X0] :
( sQ283_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f2830,plain,
! [X0] :
( ~ sQ283_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2829]) ).
fof(f2832,plain,
( ~ sQ94_spl
| sQ139_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f2385,f2829,f682,f439]) ).
fof(f2833,plain,
( ~ sQ94_spl
| sQ253_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f2386,f2829,f2271,f439]) ).
fof(f2835,plain,
( ~ sQ179_spl
| ~ sQ94_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2370,f168,f439,f1238]) ).
fof(f2836,plain,
( ~ sQ70_spl
| ~ sQ177_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f359,f1284]) ).
fof(f2837,plain,
( ~ sQ70_spl
| ~ sQ177_spl ),
inference(contradiction_clause,[status(thm)],[f2836]) ).
fof(f2838,plain,
( ~ sQ174_spl
| ~ sQ84_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f2681,f358,f407,f1157]) ).
fof(f2839,plain,
( ~ sQ84_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f2694,f1374,f407]) ).
fof(f2840,definition,
! [X0] :
( sQ284_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f2841,plain,
! [X0] :
( ~ sQ284_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2840]) ).
fof(f2843,plain,
( ~ sQ84_spl
| sQ191_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f2695,f2840,f1374,f407]) ).
fof(f2844,plain,
( ~ sQ84_spl
| sQ253_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f2696,f2840,f2271,f407]) ).
fof(f2845,plain,
( ~ sQ89_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f2522,f560,f423]) ).
fof(f2846,definition,
! [X0] :
( sQ285_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f2847,plain,
! [X0] :
( ~ sQ285_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2846]) ).
fof(f2849,plain,
( ~ sQ89_spl
| sQ127_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f2523,f2846,f560,f423]) ).
fof(f2850,plain,
( ~ sQ89_spl
| sQ253_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f2524,f2846,f2271,f423]) ).
fof(f2851,definition,
! [X0] :
( sQ286_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f2852,plain,
! [X0] :
( ~ sQ286_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f2851]) ).
fof(f2856,definition,
! [X0] :
( sQ287_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f2857,plain,
! [X0] :
( ~ sQ287_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f2856]) ).
fof(f2861,definition,
! [X0] :
( sQ288_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f2862,plain,
! [X0] :
( ~ sQ288_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2861]) ).
fof(f2864,plain,
( ~ sQ49_spl
| ~ sQ84_spl
| sQ134_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f2684,f2861,f640,f407,f286]) ).
fof(f2865,plain,
( ~ sQ49_spl
| ~ sQ84_spl
| sQ209_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f2685,f2861,f1659,f407,f286]) ).
fof(f2866,plain,
( ~ sQ68_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f2037,f580,f351]) ).
fof(f2867,definition,
! [X0] :
( sQ289_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f2868,plain,
! [X0] :
( ~ sQ289_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2867]) ).
fof(f2870,plain,
( ~ sQ68_spl
| sQ196_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f2038,f2867,f1443,f351]) ).
fof(f2871,plain,
( ~ sQ68_spl
| sQ129_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f2039,f2867,f580,f351]) ).
fof(f2872,definition,
! [X0] :
( sQ290_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f2873,plain,
! [X0] :
( ~ sQ290_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f2872]) ).
fof(f2875,plain,
( ~ sQ11_spl
| ~ sQ81_spl
| sQ136_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f2775,f2872,f654,f398,f152]) ).
fof(f2876,plain,
( ~ sQ11_spl
| ~ sQ81_spl
| sQ184_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f2776,f2872,f1293,f398,f152]) ).
fof(f2877,definition,
! [X0] :
( sQ291_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f2878,plain,
! [X0] :
( ~ sQ291_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f2877]) ).
fof(f2880,plain,
( ~ sQ81_spl
| sQ160_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f2777,f2877,f919,f398]) ).
fof(f2881,plain,
( ~ sQ81_spl
| sQ183_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f2778,f2877,f1286,f398]) ).
fof(f2882,plain,
! [X0] :
( ~ sQ124_spl
| ~ greater(e_5,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f541,f63]) ).
fof(f2883,plain,
( ~ sQ124_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f541,f105]) ).
fof(f2884,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f541,f103]) ).
fof(f2885,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f541,f102]) ).
fof(f2886,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f541,f95]) ).
fof(f2887,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f541,f93]) ).
fof(f2888,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_5,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f541,f91]) ).
fof(f2889,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f541,f100]) ).
fof(f2890,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f541,f98]) ).
fof(f2891,plain,
( ~ sQ124_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f2883,f560,f540]) ).
fof(f2892,definition,
! [X0] :
( sQ292_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f2893,plain,
! [X0] :
( ~ sQ292_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2892]) ).
fof(f2895,plain,
( ~ sQ124_spl
| sQ253_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f2884,f2892,f2271,f540]) ).
fof(f2896,plain,
( ~ sQ124_spl
| sQ127_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f2885,f2892,f560,f540]) ).
fof(f2897,plain,
( ~ sQ220_spl
| ~ sQ123_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f538,f1807]) ).
fof(f2898,plain,
( ~ sQ216_spl
| ~ sQ123_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f538,f1767]) ).
fof(f2899,plain,
( ~ sQ223_spl
| ~ sQ123_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f538,f1839]) ).
fof(f2900,plain,
! [X0] :
( ~ sQ123_spl
| ~ greater(e_4,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f538,f63]) ).
fof(f2901,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ123_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f538,f2201]) ).
fof(f2902,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ123_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f538,f2200]) ).
fof(f2903,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f538,f103]) ).
fof(f2904,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f538,f102]) ).
fof(f2905,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f538,f95]) ).
fof(f2906,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f538,f93]) ).
fof(f2907,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_4,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f538,f91]) ).
fof(f2908,plain,
! [X0,X1,X2] :
( ~ sQ123_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f538,f100]) ).
fof(f2909,plain,
! [X0,X1,X2] :
( ~ sQ123_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f538,f98]) ).
fof(f2910,definition,
! [X0] :
( sQ293_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f2911,plain,
! [X0] :
( ~ sQ293_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f2910]) ).
fof(f2913,plain,
( ~ sQ98_spl
| ~ sQ123_spl
| sQ187_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f2901,f2910,f1341,f537,f452]) ).
fof(f2914,plain,
( ~ sQ98_spl
| ~ sQ123_spl
| sQ127_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f2902,f2910,f560,f537,f452]) ).
fof(f2915,definition,
! [X0] :
( sQ294_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f2916,plain,
! [X0] :
( ~ sQ294_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2915]) ).
fof(f2918,plain,
( ~ sQ123_spl
| sQ209_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f2903,f2915,f1659,f537]) ).
fof(f2919,plain,
( ~ sQ123_spl
| sQ130_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f2904,f2915,f584,f537]) ).
fof(f2920,plain,
( ~ sQ122_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f535,f568]) ).
fof(f2921,plain,
( ~ sQ122_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f2920]) ).
fof(f2922,plain,
( ~ sQ11_spl
| ~ sQ121_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f532,f607]) ).
fof(f2923,plain,
! [X0] :
( ~ sQ121_spl
| ~ greater(e_2,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f532,f63]) ).
fof(f2924,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ121_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f532,f611]) ).
fof(f2925,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ121_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f532,f610]) ).
fof(f2926,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f532,f103]) ).
fof(f2927,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f532,f102]) ).
fof(f2928,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f532,f95]) ).
fof(f2929,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f532,f93]) ).
fof(f2930,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_2,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f532,f91]) ).
fof(f2931,plain,
! [X0,X1,X2] :
( ~ sQ121_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f532,f100]) ).
fof(f2932,plain,
! [X0,X1,X2] :
( ~ sQ121_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f532,f98]) ).
fof(f2933,plain,
( ~ sQ11_spl
| ~ sQ121_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f2922,f1341,f531,f152]) ).
fof(f2934,definition,
! [X0] :
( sQ295_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f2935,plain,
! [X0] :
( ~ sQ295_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f2934]) ).
fof(f2937,plain,
( ~ sQ11_spl
| ~ sQ121_spl
| sQ187_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f2924,f2934,f1341,f531,f152]) ).
fof(f2938,plain,
( ~ sQ11_spl
| ~ sQ121_spl
| sQ153_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f2925,f2934,f840,f531,f152]) ).
fof(f2939,definition,
! [X0] :
( sQ296_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f2940,plain,
! [X0] :
( ~ sQ296_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f2939]) ).
fof(f2942,plain,
( ~ sQ121_spl
| sQ183_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f2926,f2939,f1286,f531]) ).
fof(f2943,plain,
( ~ sQ121_spl
| sQ133_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f2927,f2939,f619,f531]) ).
fof(f2944,plain,
! [X0] :
( ~ sQ120_spl
| ~ greater(e_1,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f529,f63]) ).
fof(f2945,plain,
( ~ sQ120_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f529,f106]) ).
fof(f2946,plain,
! [X0] :
( ~ sQ120_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f529,f103]) ).
fof(f2947,plain,
! [X0] :
( ~ sQ120_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f529,f102]) ).
fof(f2948,plain,
! [X0] :
( ~ sQ120_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f529,f95]) ).
fof(f2949,plain,
! [X0] :
( ~ sQ120_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f529,f93]) ).
fof(f2950,plain,
! [X0] :
( ~ sQ120_spl
| equalish(e_1,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f529,f91]) ).
fof(f2951,plain,
! [X0,X1,X2] :
( ~ sQ120_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f529,f100]) ).
fof(f2952,plain,
! [X0,X1,X2] :
( ~ sQ120_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f529,f98]) ).
fof(f2953,plain,
( ~ sQ120_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f2945,f1293,f528]) ).
fof(f2954,definition,
! [X0] :
( sQ297_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f2955,plain,
! [X0] :
( ~ sQ297_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2954]) ).
fof(f2957,plain,
( ~ sQ120_spl
| sQ184_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f2946,f2954,f1293,f528]) ).
fof(f2958,plain,
( ~ sQ120_spl
| sQ153_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f2947,f2954,f840,f528]) ).
fof(f2959,plain,
( ~ sQ119_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f525,f105]) ).
fof(f2960,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f525,f103]) ).
fof(f2961,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f525,f102]) ).
fof(f2962,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f525,f95]) ).
fof(f2963,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f525,f93]) ).
fof(f2964,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_5,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f525,f91]) ).
fof(f2965,plain,
! [X0,X1,X2] :
( ~ sQ119_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f525,f100]) ).
fof(f2966,plain,
! [X0,X1,X2] :
( ~ sQ119_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f525,f98]) ).
fof(f2967,plain,
( ~ sQ119_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f2959,f682,f524]) ).
fof(f2968,definition,
! [X0] :
( sQ298_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f2969,plain,
! [X0] :
( ~ sQ298_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2968]) ).
fof(f2971,plain,
( ~ sQ119_spl
| sQ253_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f2960,f2968,f2271,f524]) ).
fof(f2972,plain,
( ~ sQ119_spl
| sQ139_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f2961,f2968,f682,f524]) ).
fof(f2973,plain,
( ~ sQ283_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f2830,f96]) ).
fof(f2978,plain,
( ~ sQ289_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f2868,f96]) ).
fof(f2979,plain,
( ~ sQ285_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f2847,f96]) ).
fof(f2980,plain,
( ~ sQ284_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f2841,f96]) ).
fof(f2990,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2782,f96]) ).
fof(f2991,plain,
( ~ sQ81_spl
| sQ139_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f2990,f2877,f682,f398]) ).
fof(f2992,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2783,f96]) ).
fof(f2993,plain,
( ~ sQ81_spl
| sQ143_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f2992,f2877,f712,f398]) ).
fof(f2994,plain,
( ~ sQ292_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f2893,f96]) ).
fof(f2995,plain,
( ~ sQ294_spl
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f2916,f96]) ).
fof(f3026,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2347,f96]) ).
fof(f3027,plain,
( ~ sQ95_spl
| sQ127_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f3026,f2355,f560,f443]) ).
fof(f3028,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2348,f96]) ).
fof(f3029,plain,
( ~ sQ95_spl
| sQ159_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f3028,f2355,f908,f443]) ).
fof(f3035,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2908,f96]) ).
fof(f3036,plain,
( ~ sQ123_spl
| sQ134_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f3035,f2915,f640,f537]) ).
fof(f3037,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2909,f96]) ).
fof(f3038,plain,
( ~ sQ123_spl
| sQ191_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f3037,f2915,f1374,f537]) ).
fof(f3043,plain,
( ~ sQ298_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f2969,f96]) ).
fof(f3044,plain,
( ~ sQ225_spl
| ~ sQ118_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f522,f1861]) ).
fof(f3045,plain,
( ~ sQ227_spl
| ~ sQ118_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f522,f1883]) ).
fof(f3046,plain,
( ~ sQ229_spl
| ~ sQ118_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f522,f1909]) ).
fof(f3047,plain,
( ~ sQ230_spl
| ~ sQ118_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f522,f1915]) ).
fof(f3048,plain,
( ~ sQ231_spl
| ~ sQ118_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f522,f1931]) ).
fof(f3049,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ118_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f522,f2909]) ).
fof(f3050,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ118_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f522,f2908]) ).
fof(f3051,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ118_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f522,f986]) ).
fof(f3052,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ118_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f522,f985]) ).
fof(f3053,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ118_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f522,f698]) ).
fof(f3054,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ118_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f522,f697]) ).
fof(f3055,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f522,f103]) ).
fof(f3056,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f522,f102]) ).
fof(f3057,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f522,f95]) ).
fof(f3058,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f522,f93]) ).
fof(f3059,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f522,f91]) ).
fof(f3060,plain,
! [X0,X1,X2] :
( ~ sQ118_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f522,f100]) ).
fof(f3061,plain,
! [X0,X1,X2] :
( ~ sQ118_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f522,f98]) ).
fof(f3062,definition,
! [X0] :
( sQ299_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f3063,plain,
! [X0] :
( ~ sQ299_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f3062]) ).
fof(f3065,plain,
( ~ sQ123_spl
| ~ sQ118_spl
| sQ253_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f3049,f3062,f2271,f521,f537]) ).
fof(f3066,plain,
( ~ sQ123_spl
| ~ sQ118_spl
| sQ135_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f3050,f3062,f647,f521,f537]) ).
fof(f3067,definition,
! [X0] :
( sQ300_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f3068,plain,
! [X0] :
( ~ sQ300_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f3067]) ).
fof(f3070,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| sQ183_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f3051,f3067,f1286,f521,f177]) ).
fof(f3071,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| sQ137_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f3052,f3067,f661,f521,f177]) ).
fof(f3072,definition,
! [X0] :
( sQ301_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f3073,plain,
! [X0] :
( ~ sQ301_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f3072]) ).
fof(f3075,plain,
( ~ sQ8_spl
| ~ sQ118_spl
| sQ187_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f3053,f3072,f1341,f521,f142]) ).
fof(f3076,plain,
( ~ sQ8_spl
| ~ sQ118_spl
| sQ146_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f3054,f3072,f759,f521,f142]) ).
fof(f3077,definition,
! [X0] :
( sQ302_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f3078,plain,
! [X0] :
( ~ sQ302_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f3077]) ).
fof(f3080,plain,
( ~ sQ118_spl
| sQ209_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f3055,f3077,f1659,f521]) ).
fof(f3081,plain,
( ~ sQ118_spl
| sQ143_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f3056,f3077,f712,f521]) ).
fof(f3082,plain,
( ~ sQ117_spl
| ~ sQ138_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f519,f688]) ).
fof(f3083,plain,
( ~ sQ117_spl
| ~ sQ138_spl ),
inference(contradiction_clause,[status(thm)],[f3082]) ).
fof(f3084,plain,
( ~ sQ131_spl
| ~ sQ116_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f516,f613]) ).
fof(f3085,plain,
( ~ sQ193_spl
| ~ sQ116_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f516,f1387]) ).
fof(f3086,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ116_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f516,f2783]) ).
fof(f3087,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ116_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f516,f2782]) ).
fof(f3088,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ116_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f516,f611]) ).
fof(f3089,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ116_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f516,f610]) ).
fof(f3090,plain,
( ~ sQ116_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f516,f106]) ).
fof(f3091,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f516,f103]) ).
fof(f3092,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f516,f102]) ).
fof(f3093,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f516,f95]) ).
fof(f3094,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f516,f93]) ).
fof(f3095,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f516,f91]) ).
fof(f3096,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f516,f100]) ).
fof(f3097,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f516,f98]) ).
fof(f3098,definition,
! [X0] :
( sQ303_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f3099,plain,
! [X0] :
( ~ sQ303_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f3098]) ).
fof(f3101,plain,
( ~ sQ81_spl
| ~ sQ116_spl
| sQ209_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f3086,f3098,f1659,f515,f398]) ).
fof(f3102,plain,
( ~ sQ81_spl
| ~ sQ116_spl
| sQ139_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f3087,f3098,f682,f515,f398]) ).
fof(f3103,definition,
! [X0] :
( sQ304_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f3104,plain,
! [X0] :
( ~ sQ304_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f3103]) ).
fof(f3106,plain,
( ~ sQ11_spl
| ~ sQ116_spl
| sQ187_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f3088,f3103,f1341,f515,f152]) ).
fof(f3107,plain,
( ~ sQ11_spl
| ~ sQ116_spl
| sQ135_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f3089,f3103,f647,f515,f152]) ).
fof(f3108,plain,
( ~ sQ116_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f3090,f1286,f515]) ).
fof(f3109,definition,
! [X0] :
( sQ305_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f3110,plain,
! [X0] :
( ~ sQ305_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f3109]) ).
fof(f3112,plain,
( ~ sQ116_spl
| sQ183_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f3091,f3109,f1286,f515]) ).
fof(f3113,plain,
( ~ sQ116_spl
| sQ146_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f3092,f3109,f759,f515]) ).
fof(f3114,plain,
( ~ sQ217_spl
| ~ sQ115_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f513,f1772]) ).
fof(f3117,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ115_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f513,f2348]) ).
fof(f3118,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ115_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f513,f2347]) ).
fof(f3119,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ115_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f513,f1583]) ).
fof(f3120,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ115_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f513,f1582]) ).
fof(f3121,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ115_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f513,f1927]) ).
fof(f3122,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ115_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f513,f1928]) ).
fof(f3123,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ115_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f513,f2483]) ).
fof(f3124,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ115_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f513,f2484]) ).
fof(f3125,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f513,f103]) ).
fof(f3126,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f513,f102]) ).
fof(f3127,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f513,f95]) ).
fof(f3128,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f513,f93]) ).
fof(f3129,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f513,f91]) ).
fof(f3130,plain,
! [X0,X1,X2] :
( ~ sQ115_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f513,f100]) ).
fof(f3131,plain,
! [X0,X1,X2] :
( ~ sQ115_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f513,f98]) ).
fof(f3132,plain,
( ~ sQ217_spl
| ~ sQ115_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f3114,f537,f512,f1771]) ).
fof(f3133,definition,
! [X0] :
( sQ306_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f3134,plain,
! [X0] :
( ~ sQ306_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f3133]) ).
fof(f3136,plain,
( ~ sQ95_spl
| ~ sQ115_spl
| sQ187_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f3117,f3133,f1341,f512,f443]) ).
fof(f3137,plain,
( ~ sQ95_spl
| ~ sQ115_spl
| sQ139_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f3118,f3133,f682,f512,f443]) ).
fof(f3138,definition,
! [X0] :
( sQ307_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f3139,plain,
! [X0] :
( ~ sQ307_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f3138]) ).
fof(f3141,plain,
( ~ sQ50_spl
| ~ sQ115_spl
| sQ183_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f3119,f3138,f1286,f512,f290]) ).
fof(f3142,plain,
( ~ sQ50_spl
| ~ sQ115_spl
| sQ143_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f3120,f3138,f712,f512,f290]) ).
fof(f3143,definition,
! [X0] :
( sQ308_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f3144,plain,
! [X0] :
( ~ sQ308_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f3143]) ).
fof(f3146,plain,
( ~ sQ70_spl
| ~ sQ115_spl
| sQ146_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f3121,f3143,f759,f512,f358]) ).
fof(f3147,plain,
( ~ sQ70_spl
| ~ sQ115_spl
| sQ209_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f3122,f3143,f1659,f512,f358]) ).
fof(f3148,definition,
! [X0] :
( sQ309_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f3149,plain,
! [X0] :
( ~ sQ309_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f3148]) ).
fof(f3151,plain,
( ~ sQ90_spl
| ~ sQ115_spl
| sQ139_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f3123,f3148,f682,f512,f427]) ).
fof(f3152,plain,
( ~ sQ90_spl
| ~ sQ115_spl
| sQ183_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f3124,f3148,f1286,f512,f427]) ).
fof(f3153,definition,
! [X0] :
( sQ310_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f3154,plain,
! [X0] :
( ~ sQ310_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f3153]) ).
fof(f3156,plain,
( ~ sQ115_spl
| sQ184_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f3125,f3153,f1293,f512]) ).
fof(f3157,plain,
( ~ sQ115_spl
| sQ135_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f3126,f3153,f647,f512]) ).
fof(f3158,plain,
( ~ sQ69_spl
| ~ sQ114_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f509,f2004]) ).
fof(f3159,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ114_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f509,f1359]) ).
fof(f3160,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ114_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f509,f1358]) ).
fof(f3163,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ114_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f509,f1156]) ).
fof(f3164,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ114_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f509,f1155]) ).
fof(f3165,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ114_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f509,f2008]) ).
fof(f3166,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ114_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f509,f2007]) ).
fof(f3167,plain,
( ~ sQ114_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f509,f105]) ).
fof(f3168,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f509,f103]) ).
fof(f3169,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f509,f102]) ).
fof(f3170,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f509,f95]) ).
fof(f3171,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f509,f93]) ).
fof(f3172,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_5,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f509,f91]) ).
fof(f3173,plain,
! [X0,X1,X2] :
( ~ sQ114_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f509,f100]) ).
fof(f3174,plain,
! [X0,X1,X2] :
( ~ sQ114_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f509,f98]) ).
fof(f3175,plain,
( ~ sQ69_spl
| ~ sQ114_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f3158,f1659,f508,f354]) ).
fof(f3176,definition,
! [X0] :
( sQ311_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f3177,plain,
! [X0] :
( ~ sQ311_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f3176]) ).
fof(f3179,plain,
( ~ sQ59_spl
| ~ sQ114_spl
| sQ187_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f3159,f3176,f1341,f508,f318]) ).
fof(f3180,plain,
( ~ sQ59_spl
| ~ sQ114_spl
| sQ129_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f3160,f3176,f580,f508,f318]) ).
fof(f3181,definition,
! [X0] :
( sQ312_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f3182,plain,
! [X0] :
( ~ sQ312_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f3181]) ).
fof(f3186,definition,
! [X0] :
( sQ313_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f3187,plain,
! [X0] :
( ~ sQ313_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f3186]) ).
fof(f3189,plain,
( ~ sQ39_spl
| ~ sQ114_spl
| sQ184_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f3163,f3186,f1293,f508,f247]) ).
fof(f3190,plain,
( ~ sQ39_spl
| ~ sQ114_spl
| sQ132_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f3164,f3186,f615,f508,f247]) ).
fof(f3191,definition,
! [X0] :
( sQ314_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f3192,plain,
! [X0] :
( ~ sQ314_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f3191]) ).
fof(f3194,plain,
( ~ sQ69_spl
| ~ sQ114_spl
| sQ209_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f3165,f3191,f1659,f508,f354]) ).
fof(f3195,plain,
( ~ sQ69_spl
| ~ sQ114_spl
| sQ141_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f3166,f3191,f703,f508,f354]) ).
fof(f3196,plain,
( ~ sQ114_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f3167,f556,f508]) ).
fof(f3197,definition,
! [X0] :
( sQ315_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f3198,plain,
! [X0] :
( ~ sQ315_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f3197]) ).
fof(f3200,plain,
( ~ sQ114_spl
| sQ253_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f3168,f3197,f2271,f508]) ).
fof(f3201,plain,
( ~ sQ114_spl
| sQ126_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f3169,f3197,f556,f508]) ).
fof(f3202,plain,
( ~ sQ113_spl
| ~ sQ238_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f506,f2030]) ).
fof(f3203,plain,
( ~ sQ113_spl
| ~ sQ238_spl ),
inference(contradiction_clause,[status(thm)],[f3202]) ).
fof(f3204,plain,
( ~ sQ144_spl
| ~ sQ112_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f503,f734]) ).
fof(f3205,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ112_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f503,f1681]) ).
fof(f3206,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ112_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f503,f1680]) ).
fof(f3207,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ112_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f503,f2583]) ).
fof(f3208,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ112_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f503,f2582]) ).
fof(f3209,plain,
( ~ sQ112_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f503,f106]) ).
fof(f3210,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f503,f103]) ).
fof(f3211,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f503,f102]) ).
fof(f3212,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f503,f95]) ).
fof(f3213,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f503,f93]) ).
fof(f3214,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f503,f91]) ).
fof(f3215,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f503,f100]) ).
fof(f3216,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f503,f98]) ).
fof(f3217,definition,
! [X0] :
( sQ316_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f3218,plain,
! [X0] :
( ~ sQ316_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f3217]) ).
fof(f3220,plain,
( ~ sQ47_spl
| ~ sQ112_spl
| sQ184_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f3205,f3217,f1293,f502,f280]) ).
fof(f3221,plain,
( ~ sQ47_spl
| ~ sQ112_spl
| sQ129_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f3206,f3217,f580,f502,f280]) ).
fof(f3222,definition,
! [X0] :
( sQ317_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f3223,plain,
! [X0] :
( ~ sQ317_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f3222]) ).
fof(f3225,plain,
( ~ sQ87_spl
| ~ sQ112_spl
| sQ184_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f3207,f3222,f1293,f502,f417]) ).
fof(f3226,plain,
( ~ sQ87_spl
| ~ sQ112_spl
| sQ126_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f3208,f3222,f556,f502,f417]) ).
fof(f3227,plain,
( ~ sQ112_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f3209,f1341,f502]) ).
fof(f3228,definition,
! [X0] :
( sQ318_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f3229,plain,
! [X0] :
( ~ sQ318_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f3228]) ).
fof(f3231,plain,
( ~ sQ112_spl
| sQ187_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f3210,f3228,f1341,f502]) ).
fof(f3232,plain,
( ~ sQ112_spl
| sQ141_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f3211,f3228,f703,f502]) ).
fof(f3233,plain,
( ~ sQ111_spl
| ~ sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f500,f976]) ).
fof(f3234,plain,
( ~ sQ111_spl
| ~ sQ162_spl ),
inference(contradiction_clause,[status(thm)],[f3233]) ).
fof(f3235,plain,
( ~ sQ186_spl
| ~ sQ110_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f497,f1335]) ).
fof(f3236,plain,
( ~ sQ180_spl
| ~ sQ110_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f497,f1255]) ).
fof(f3237,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ110_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f497,f2348]) ).
fof(f3238,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ110_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f497,f2347]) ).
fof(f3239,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ110_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f497,f1583]) ).
fof(f3240,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ110_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f497,f1582]) ).
fof(f3241,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ110_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f497,f1927]) ).
fof(f3242,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ110_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f497,f1928]) ).
fof(f3243,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ110_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f497,f2483]) ).
fof(f3244,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ110_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f497,f2484]) ).
fof(f3245,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f497,f103]) ).
fof(f3246,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f497,f102]) ).
fof(f3247,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f497,f95]) ).
fof(f3248,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f497,f93]) ).
fof(f3249,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f497,f91]) ).
fof(f3250,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f497,f100]) ).
fof(f3251,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f497,f98]) ).
fof(f3252,definition,
! [X0] :
( sQ319_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f3253,plain,
! [X0] :
( ~ sQ319_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f3252]) ).
fof(f3255,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| sQ187_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f3237,f3252,f1341,f496,f443]) ).
fof(f3256,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| sQ126_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f3238,f3252,f556,f496,f443]) ).
fof(f3257,definition,
! [X0] :
( sQ320_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f3258,plain,
! [X0] :
( ~ sQ320_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f3257]) ).
fof(f3260,plain,
( ~ sQ50_spl
| ~ sQ110_spl
| sQ183_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f3239,f3257,f1286,f496,f290]) ).
fof(f3261,plain,
( ~ sQ50_spl
| ~ sQ110_spl
| sQ129_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f3240,f3257,f580,f496,f290]) ).
fof(f3262,definition,
! [X0] :
( sQ321_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f3263,plain,
! [X0] :
( ~ sQ321_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f3262]) ).
fof(f3265,plain,
( ~ sQ70_spl
| ~ sQ110_spl
| sQ132_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f3241,f3262,f615,f496,f358]) ).
fof(f3266,plain,
( ~ sQ70_spl
| ~ sQ110_spl
| sQ209_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f3242,f3262,f1659,f496,f358]) ).
fof(f3267,definition,
! [X0] :
( sQ322_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f3268,plain,
! [X0] :
( ~ sQ322_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f3267]) ).
fof(f3270,plain,
( ~ sQ90_spl
| ~ sQ110_spl
| sQ126_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f3243,f3267,f556,f496,f427]) ).
fof(f3271,plain,
( ~ sQ90_spl
| ~ sQ110_spl
| sQ183_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f3244,f3267,f1286,f496,f427]) ).
fof(f3272,definition,
! [X0] :
( sQ323_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f3273,plain,
! [X0] :
( ~ sQ323_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f3272]) ).
fof(f3275,plain,
( ~ sQ110_spl
| sQ184_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f3245,f3272,f1293,f496]) ).
fof(f3276,plain,
( ~ sQ110_spl
| sQ148_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f3246,f3272,f773,f496]) ).
fof(f3277,plain,
( ~ sQ268_spl
| ~ sQ80_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f2790,f358,f395,f2561]) ).
fof(f3278,plain,
( ~ sQ302_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f3078,f96]) ).
fof(f3279,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3060,f96]) ).
fof(f3280,plain,
( ~ sQ118_spl
| sQ160_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f3279,f3077,f919,f521]) ).
fof(f3281,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3061,f96]) ).
fof(f3282,plain,
( ~ sQ118_spl
| sQ191_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f3281,f3077,f1374,f521]) ).
fof(f3283,plain,
( ~ sQ315_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f3198,f96]) ).
fof(f3284,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f3250,f497]) ).
fof(f3285,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f3250,f96]) ).
fof(f3286,definition,
! [X0] :
( sQ324_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f3287,plain,
! [X0] :
( ~ sQ324_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f3286]) ).
fof(f3289,plain,
( ~ sQ110_spl
| sQ141_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f3284,f3286,f703,f496]) ).
fof(f3290,plain,
( ~ sQ110_spl
| sQ159_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f3285,f3272,f908,f496]) ).
fof(f3291,plain,
! [X0] :
( ~ sQ324_spl
| ~ product(X0,e_3,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f3287]) ).
fof(f3292,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ15_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1045,f497]) ).
fof(f3294,definition,
! [X0] :
( sQ325_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f3295,plain,
! [X0] :
( ~ sQ325_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f3294]) ).
fof(f3297,plain,
( ~ sQ110_spl
| ~ sQ15_spl
| sQ183_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f3292,f3294,f1286,f168,f496]) ).
fof(f3299,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ15_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1044,f497]) ).
fof(f3301,plain,
( ~ sQ110_spl
| ~ sQ15_spl
| sQ141_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f3299,f3294,f703,f168,f496]) ).
fof(f3311,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2409,f96]) ).
fof(f3312,plain,
( ~ sQ93_spl
| sQ191_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f3311,f2428,f1374,f436]) ).
fof(f3313,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2410,f96]) ).
fof(f3314,plain,
( ~ sQ93_spl
| sQ160_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f3313,f2428,f919,f436]) ).
fof(f3315,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ80_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2802,f497]) ).
fof(f3316,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2802,f96]) ).
fof(f3317,definition,
! [X0] :
( sQ326_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f3318,plain,
! [X0] :
( ~ sQ326_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f3317]) ).
fof(f3320,plain,
( ~ sQ110_spl
| ~ sQ80_spl
| sQ126_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f3315,f3317,f556,f395,f496]) ).
fof(f3321,plain,
( ~ sQ80_spl
| sQ127_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f3316,f2812,f560,f395]) ).
fof(f3322,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ80_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2803,f497]) ).
fof(f3323,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2803,f96]) ).
fof(f3324,plain,
( ~ sQ110_spl
| ~ sQ80_spl
| sQ209_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f3322,f3317,f1659,f395,f496]) ).
fof(f3325,plain,
( ~ sQ80_spl
| sQ130_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f3323,f2812,f584,f395]) ).
fof(f3327,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ109_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f493,f1530]) ).
fof(f3328,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ109_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f493,f1529]) ).
fof(f3329,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ109_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f493,f1359]) ).
fof(f3330,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ109_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f493,f1358]) ).
fof(f3331,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ109_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f493,f1156]) ).
fof(f3332,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ109_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f493,f1155]) ).
fof(f3333,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ109_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f493,f2008]) ).
fof(f3334,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ109_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f493,f2007]) ).
fof(f3335,plain,
( ~ sQ109_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f493,f105]) ).
fof(f3336,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f493,f103]) ).
fof(f3337,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f493,f102]) ).
fof(f3338,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f493,f95]) ).
fof(f3339,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f493,f93]) ).
fof(f3340,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f493,f91]) ).
fof(f3341,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f493,f100]) ).
fof(f3342,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f493,f98]) ).
fof(f3343,definition,
! [X0] :
( sQ327_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f3344,plain,
! [X0] :
( ~ sQ327_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f3343]) ).
fof(f3346,plain,
( ~ sQ54_spl
| ~ sQ109_spl
| sQ183_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f3327,f3343,f1286,f492,f302]) ).
fof(f3347,plain,
( ~ sQ54_spl
| ~ sQ109_spl
| sQ196_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f3328,f3343,f1443,f492,f302]) ).
fof(f3348,definition,
! [X0] :
( sQ328_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f3349,plain,
! [X0] :
( ~ sQ328_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f3348]) ).
fof(f3351,plain,
( ~ sQ59_spl
| ~ sQ109_spl
| sQ187_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f3329,f3348,f1341,f492,f318]) ).
fof(f3352,plain,
( ~ sQ59_spl
| ~ sQ109_spl
| sQ196_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f3330,f3348,f1443,f492,f318]) ).
fof(f3353,definition,
! [X0] :
( sQ329_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f3354,plain,
! [X0] :
( ~ sQ329_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f3353]) ).
fof(f3356,plain,
( ~ sQ39_spl
| ~ sQ109_spl
| sQ184_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f3331,f3353,f1293,f492,f247]) ).
fof(f3357,plain,
( ~ sQ39_spl
| ~ sQ109_spl
| sQ160_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f3332,f3353,f919,f492,f247]) ).
fof(f3358,definition,
! [X0] :
( sQ330_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f3359,plain,
! [X0] :
( ~ sQ330_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f3358]) ).
fof(f3361,plain,
( ~ sQ69_spl
| ~ sQ109_spl
| sQ209_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f3333,f3358,f1659,f492,f354]) ).
fof(f3362,plain,
( ~ sQ69_spl
| ~ sQ109_spl
| sQ136_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f3334,f3358,f654,f492,f354]) ).
fof(f3363,plain,
( ~ sQ109_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f3335,f1374,f492]) ).
fof(f3364,definition,
! [X0] :
( sQ331_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f3365,plain,
! [X0] :
( ~ sQ331_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f3364]) ).
fof(f3367,plain,
( ~ sQ109_spl
| sQ253_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f3336,f3364,f2271,f492]) ).
fof(f3368,plain,
( ~ sQ109_spl
| sQ191_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f3337,f3364,f1374,f492]) ).
fof(f3369,plain,
( ~ sQ151_spl
| ~ sQ108_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f490,f817]) ).
fof(f3370,plain,
( ~ sQ302_spl
| ~ sQ108_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f490,f3078]) ).
fof(f3371,plain,
( ~ sQ142_spl
| ~ sQ108_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f490,f709]) ).
fof(f3372,plain,
( ~ sQ294_spl
| ~ sQ108_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f490,f2916]) ).
fof(f3373,plain,
( ~ sQ289_spl
| ~ sQ108_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f490,f2868]) ).
fof(f3374,plain,
( ~ sQ228_spl
| ~ sQ108_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f490,f1889]) ).
fof(f3375,plain,
( ~ sQ221_spl
| ~ sQ108_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f490,f1813]) ).
fof(f3376,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ108_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f490,f2410]) ).
fof(f3377,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ108_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f490,f2409]) ).
fof(f3380,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ108_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f490,f3061]) ).
fof(f3381,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ108_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f490,f3060]) ).
fof(f3382,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ108_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f490,f2909]) ).
fof(f3383,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ108_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f490,f2908]) ).
fof(f3384,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ108_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f490,f698]) ).
fof(f3385,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ108_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f490,f697]) ).
fof(f3386,plain,
( ~ sQ108_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f490,f106]) ).
fof(f3387,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f490,f103]) ).
fof(f3388,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f490,f102]) ).
fof(f3389,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f490,f95]) ).
fof(f3390,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f490,f93]) ).
fof(f3391,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f490,f91]) ).
fof(f3392,plain,
! [X0,X1,X2] :
( ~ sQ108_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f490,f100]) ).
fof(f3393,plain,
! [X0,X1,X2] :
( ~ sQ108_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f490,f98]) ).
fof(f3394,plain,
( ~ sQ228_spl
| ~ sQ108_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f3374,f521,f489,f1888]) ).
fof(f3395,plain,
( ~ sQ221_spl
| ~ sQ108_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f3375,f537,f489,f1812]) ).
fof(f3396,definition,
! [X0] :
( sQ332_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f3397,plain,
! [X0] :
( ~ sQ332_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f3396]) ).
fof(f3399,plain,
( ~ sQ93_spl
| ~ sQ108_spl
| sQ183_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f3376,f3396,f1286,f489,f436]) ).
fof(f3400,plain,
( ~ sQ93_spl
| ~ sQ108_spl
| sQ191_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f3377,f3396,f1374,f489,f436]) ).
fof(f3401,definition,
! [X0] :
( sQ333_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f3402,plain,
! [X0] :
( ~ sQ333_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f3401]) ).
fof(f3406,definition,
! [X0] :
( sQ334_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f3407,plain,
! [X0] :
( ~ sQ334_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f3406]) ).
fof(f3409,plain,
( ~ sQ118_spl
| ~ sQ108_spl
| sQ253_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f3380,f3406,f2271,f489,f521]) ).
fof(f3410,plain,
( ~ sQ118_spl
| ~ sQ108_spl
| sQ160_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f3381,f3406,f919,f489,f521]) ).
fof(f3411,definition,
! [X0] :
( sQ335_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f3412,plain,
! [X0] :
( ~ sQ335_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f3411]) ).
fof(f3414,plain,
( ~ sQ123_spl
| ~ sQ108_spl
| sQ253_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f3382,f3411,f2271,f489,f537]) ).
fof(f3415,plain,
( ~ sQ123_spl
| ~ sQ108_spl
| sQ134_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f3383,f3411,f640,f489,f537]) ).
fof(f3416,definition,
! [X0] :
( sQ336_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f3417,plain,
! [X0] :
( ~ sQ336_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f3416]) ).
fof(f3419,plain,
( ~ sQ8_spl
| ~ sQ108_spl
| sQ187_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f3384,f3416,f1341,f489,f142]) ).
fof(f3420,plain,
( ~ sQ8_spl
| ~ sQ108_spl
| sQ160_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f3385,f3416,f919,f489,f142]) ).
fof(f3421,plain,
( ~ sQ108_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f3386,f1659,f489]) ).
fof(f3422,definition,
! [X0] :
( sQ337_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f3423,plain,
! [X0] :
( ~ sQ337_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f3422]) ).
fof(f3425,plain,
( ~ sQ108_spl
| sQ209_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f3387,f3422,f1659,f489]) ).
fof(f3426,plain,
( ~ sQ108_spl
| sQ196_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f3388,f3422,f1443,f489]) ).
fof(f3427,plain,
( ~ sQ107_spl
| ~ sQ190_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f487,f1391]) ).
fof(f3428,plain,
( ~ sQ107_spl
| ~ sQ190_spl ),
inference(contradiction_clause,[status(thm)],[f3427]) ).
fof(f3429,plain,
( ~ sQ106_spl
| ~ sQ204_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f484,f1619]) ).
fof(f3430,plain,
( ~ sQ106_spl
| ~ sQ204_spl ),
inference(contradiction_clause,[status(thm)],[f3429]) ).
fof(f3431,plain,
( ~ sQ255_spl
| ~ sQ105_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f481,f2284]) ).
fof(f3432,plain,
( ~ sQ214_spl
| ~ sQ105_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f481,f1757]) ).
fof(f3433,plain,
( ~ sQ210_spl
| ~ sQ105_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f481,f1711]) ).
fof(f3434,plain,
( ~ sQ213_spl
| ~ sQ105_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f481,f1730]) ).
fof(f3435,plain,
( ~ sQ211_spl
| ~ sQ105_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f481,f1717]) ).
fof(f3436,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ105_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f481,f2803]) ).
fof(f3437,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ105_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f481,f2802]) ).
fof(f3438,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ105_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f481,f1044]) ).
fof(f3439,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ105_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f481,f1045]) ).
fof(f3440,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ105_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f481,f2348]) ).
fof(f3441,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ105_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f481,f2347]) ).
fof(f3442,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ105_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f481,f1927]) ).
fof(f3443,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ105_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f481,f1928]) ).
fof(f3444,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f481,f103]) ).
fof(f3445,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f481,f102]) ).
fof(f3446,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f481,f95]) ).
fof(f3447,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f481,f93]) ).
fof(f3448,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f481,f91]) ).
fof(f3449,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f481,f100]) ).
fof(f3450,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f481,f98]) ).
fof(f3451,plain,
( ~ sQ214_spl
| ~ sQ105_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f3432,f537,f480,f1756]) ).
fof(f3452,definition,
! [X0] :
( sQ338_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f3453,plain,
! [X0] :
( ~ sQ338_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f3452]) ).
fof(f3455,plain,
( ~ sQ80_spl
| ~ sQ105_spl
| sQ209_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f3436,f3452,f1659,f480,f395]) ).
fof(f3456,plain,
( ~ sQ80_spl
| ~ sQ105_spl
| sQ191_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f3437,f3452,f1374,f480,f395]) ).
fof(f3457,definition,
! [X0] :
( sQ339_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f3458,plain,
! [X0] :
( ~ sQ339_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f3457]) ).
fof(f3460,plain,
( ~ sQ15_spl
| ~ sQ105_spl
| sQ136_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f3438,f3457,f654,f480,f168]) ).
fof(f3461,plain,
( ~ sQ15_spl
| ~ sQ105_spl
| sQ183_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f3439,f3457,f1286,f480,f168]) ).
fof(f3462,definition,
! [X0] :
( sQ340_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f3463,plain,
! [X0] :
( ~ sQ340_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f3462]) ).
fof(f3465,plain,
( ~ sQ95_spl
| ~ sQ105_spl
| sQ187_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f3440,f3462,f1341,f480,f443]) ).
fof(f3466,plain,
( ~ sQ95_spl
| ~ sQ105_spl
| sQ191_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f3441,f3462,f1374,f480,f443]) ).
fof(f3467,definition,
! [X0] :
( sQ341_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f3468,plain,
! [X0] :
( ~ sQ341_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f3467]) ).
fof(f3470,plain,
( ~ sQ70_spl
| ~ sQ105_spl
| sQ160_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f3442,f3467,f919,f480,f358]) ).
fof(f3471,plain,
( ~ sQ70_spl
| ~ sQ105_spl
| sQ209_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f3443,f3467,f1659,f480,f358]) ).
fof(f3472,definition,
! [X0] :
( sQ342_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f3473,plain,
! [X0] :
( ~ sQ342_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f3472]) ).
fof(f3475,plain,
( ~ sQ105_spl
| sQ184_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f3444,f3472,f1293,f480]) ).
fof(f3476,plain,
( ~ sQ105_spl
| sQ134_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f3445,f3472,f640,f480]) ).
fof(f3477,plain,
( ~ sQ259_spl
| ~ sQ81_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f2770,f358,f398,f2423]) ).
fof(f3478,plain,
( ~ sQ19_spl
| ~ sQ324_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f181,f3291]) ).
fof(f3479,plain,
( ~ sQ19_spl
| ~ sQ324_spl ),
inference(contradiction_clause,[status(thm)],[f3478]) ).
fof(f3480,plain,
( ~ sQ103_spl
| ~ sQ284_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f474,f2980]) ).
fof(f3481,plain,
( ~ sQ103_spl
| ~ sQ284_spl ),
inference(contradiction_clause,[status(thm)],[f3480]) ).
fof(f3482,plain,
( ~ sQ102_spl
| ~ sQ252_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f471,f2290]) ).
fof(f3483,plain,
( ~ sQ102_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f3482]) ).
fof(f3484,plain,
( ~ sQ101_spl
| ~ sQ283_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f468,f2973]) ).
fof(f3485,plain,
( ~ sQ101_spl
| ~ sQ283_spl ),
inference(contradiction_clause,[status(thm)],[f3484]) ).
fof(f3486,plain,
( ~ sQ100_spl
| ~ sQ285_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f465,f2979]) ).
fof(f3487,plain,
( ~ sQ100_spl
| ~ sQ285_spl ),
inference(contradiction_clause,[status(thm)],[f3486]) ).
fof(f3488,plain,
( ~ sQ331_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f3365,f96]) ).
fof(f3489,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3449,f481]) ).
fof(f3490,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ105_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3449,f497]) ).
fof(f3491,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3449,f96]) ).
fof(f3492,definition,
! [X0] :
( sQ343_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f3493,plain,
! [X0] :
( ~ sQ343_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f3492]) ).
fof(f3495,plain,
( ~ sQ105_spl
| sQ196_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f3489,f3492,f1443,f480]) ).
fof(f3496,definition,
! [X0] :
( sQ344_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f3497,plain,
! [X0] :
( ~ sQ344_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f3496]) ).
fof(f3499,plain,
( ~ sQ110_spl
| ~ sQ105_spl
| sQ129_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f3490,f3496,f580,f480,f496]) ).
fof(f3500,plain,
( ~ sQ105_spl
| sQ130_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f3491,f3472,f584,f480]) ).
fof(f3501,plain,
! [X0] :
( ~ sQ343_spl
| ~ product(X0,e_4,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f3493]) ).
fof(f3502,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3450,f481]) ).
fof(f3503,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ105_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3450,f497]) ).
fof(f3504,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3450,f96]) ).
fof(f3505,plain,
( ~ sQ105_spl
| sQ253_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f3502,f3492,f2271,f480]) ).
fof(f3506,plain,
( ~ sQ110_spl
| ~ sQ105_spl
| sQ253_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f3503,f3496,f2271,f480,f496]) ).
fof(f3507,plain,
( ~ sQ105_spl
| sQ127_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f3504,f3472,f560,f480]) ).
fof(f3508,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ90_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2484,f481]) ).
fof(f3511,plain,
( ~ sQ105_spl
| ~ sQ90_spl
| sQ183_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f3508,f3396,f1286,f427,f480]) ).
fof(f3514,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ90_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2483,f481]) ).
fof(f3517,plain,
( ~ sQ105_spl
| ~ sQ90_spl
| sQ191_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f3514,f3396,f1374,f427,f480]) ).
fof(f3524,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2547,f96]) ).
fof(f3525,plain,
( ~ sQ88_spl
| sQ191_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f3524,f2566,f1374,f420]) ).
fof(f3526,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2548,f96]) ).
fof(f3527,plain,
( ~ sQ88_spl
| sQ134_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f3526,f2566,f640,f420]) ).
fof(f3532,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f969,f96]) ).
fof(f3533,plain,
( ~ sQ19_spl
| sQ187_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f3532,f971,f1341,f180]) ).
fof(f3534,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f970,f96]) ).
fof(f3535,plain,
( ~ sQ19_spl
| sQ183_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f3534,f971,f1286,f180]) ).
fof(f3537,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f3251,f497]) ).
fof(f3538,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f3251,f96]) ).
fof(f3540,plain,
( ~ sQ110_spl
| sQ253_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f3537,f3286,f2271,f496]) ).
fof(f3541,plain,
( ~ sQ110_spl
| sQ127_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f3538,f3272,f560,f496]) ).
fof(f3549,plain,
( ~ sQ105_spl
| ~ sQ316_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f3218,f481]) ).
fof(f3550,plain,
( ~ sQ8_spl
| ~ sQ3_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f127,f695]) ).
fof(f3551,plain,
( ~ sQ237_spl
| ~ sQ3_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f127,f2021]) ).
fof(f3552,plain,
( ~ sQ240_spl
| ~ sQ3_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f127,f2083]) ).
fof(f3553,plain,
( ~ sQ242_spl
| ~ sQ3_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f127,f2093]) ).
fof(f3554,plain,
( ~ sQ239_spl
| ~ sQ3_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f127,f2058]) ).
fof(f3555,plain,
( ~ sQ236_spl
| ~ sQ3_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f127,f2016]) ).
fof(f3556,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ3_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f127,f2548]) ).
fof(f3557,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ3_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f127,f2547]) ).
fof(f3558,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ3_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f127,f815]) ).
fof(f3559,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ3_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f127,f814]) ).
fof(f3560,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ3_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f127,f3061]) ).
fof(f3561,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ3_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f127,f3060]) ).
fof(f3562,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ3_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f127,f2909]) ).
fof(f3563,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ3_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f127,f2908]) ).
fof(f3564,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ3_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f127,f698]) ).
fof(f3565,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ3_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f127,f697]) ).
fof(f3566,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f127,f103]) ).
fof(f3567,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f127,f102]) ).
fof(f3568,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f127,f95]) ).
fof(f3569,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f127,f93]) ).
fof(f3570,plain,
( ~ sQ3_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f127,f101]) ).
fof(f3571,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f127,f91]) ).
fof(f3572,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f127,f100]) ).
fof(f3573,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f127,f98]) ).
fof(f3574,plain,
( ~ sQ8_spl
| ~ sQ3_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3550,f615,f126,f142]) ).
fof(f3575,plain,
( ~ sQ239_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3554,f96]) ).
fof(f3576,plain,
( ~ sQ239_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f3575]) ).
fof(f3578,plain,
( ~ sQ105_spl
| ~ sQ110_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f3248,f481]) ).
fof(f3580,plain,
( ~ sQ105_spl
| ~ sQ110_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f3578,f654,f496,f480]) ).
fof(f3608,plain,
( ~ sQ31_spl
| ~ sQ194_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f1669]) ).
fof(f3609,plain,
( ~ sQ31_spl
| ~ sQ194_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f3608]) ).
fof(f3610,plain,
( ~ sQ49_spl
| ~ sQ343_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f287,f3501]) ).
fof(f3611,plain,
( ~ sQ49_spl
| ~ sQ343_spl ),
inference(contradiction_clause,[status(thm)],[f3610]) ).
fof(f3622,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ11_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f153,f2783]) ).
fof(f3623,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ11_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f153,f2782]) ).
fof(f3624,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f153,f611]) ).
fof(f3625,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f153,f610]) ).
fof(f3633,plain,
( ~ sQ81_spl
| ~ sQ11_spl
| sQ129_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f3622,f2872,f580,f152,f398]) ).
fof(f3634,plain,
( ~ sQ81_spl
| ~ sQ11_spl
| sQ127_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f3623,f2872,f560,f152,f398]) ).
fof(f3635,definition,
! [X0] :
( sQ345_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f3636,plain,
! [X0] :
( ~ sQ345_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f3635]) ).
fof(f3638,plain,
( ~ sQ11_spl
| sQ141_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f3624,f3635,f703,f152]) ).
fof(f3639,plain,
( ~ sQ11_spl
| sQ153_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f3625,f3635,f840,f152]) ).
fof(f3642,plain,
! [X0] :
( ~ sQ345_spl
| ~ product(X0,e_1,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f3636]) ).
fof(f3646,plain,
( ~ sQ325_spl
| ~ sQ69_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f355,f3295]) ).
fof(f3647,plain,
( ~ sQ314_spl
| ~ sQ69_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f355,f3192]) ).
fof(f3648,plain,
( ~ sQ313_spl
| ~ sQ69_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f355,f3187]) ).
fof(f3649,plain,
( ~ sQ312_spl
| ~ sQ69_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f355,f3182]) ).
fof(f3650,plain,
( ~ sQ321_spl
| ~ sQ69_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f355,f3263]) ).
fof(f3651,plain,
( ~ sQ318_spl
| ~ sQ69_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f355,f3229]) ).
fof(f3652,plain,
( ~ sQ323_spl
| ~ sQ69_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f355,f3273]) ).
fof(f3653,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ69_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f355,f1595]) ).
fof(f3654,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ69_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f355,f1594]) ).
fof(f3657,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ69_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f355,f1359]) ).
fof(f3658,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ69_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f355,f1358]) ).
fof(f3661,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f355,f2008]) ).
fof(f3662,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f355,f2007]) ).
fof(f3670,plain,
( ~ sQ313_spl
| ~ sQ69_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f3648,f358,f354,f3186]) ).
fof(f3671,plain,
( ~ sQ312_spl
| ~ sQ69_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f3649,f377,f354,f3181]) ).
fof(f3672,definition,
! [X0] :
( sQ346_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f3673,plain,
! [X0] :
( ~ sQ346_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f3672]) ).
fof(f3675,plain,
( ~ sQ49_spl
| ~ sQ69_spl
| sQ134_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f3653,f3672,f640,f354,f286]) ).
fof(f3676,plain,
( ~ sQ49_spl
| ~ sQ69_spl
| sQ129_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f3654,f3672,f580,f354,f286]) ).
fof(f3677,definition,
! [X0] :
( sQ347_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f3678,plain,
! [X0] :
( ~ sQ347_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f3677]) ).
fof(f3682,plain,
( ~ sQ59_spl
| ~ sQ69_spl
| sQ136_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f3657,f2087,f654,f354,f318]) ).
fof(f3683,plain,
( ~ sQ59_spl
| ~ sQ69_spl
| sQ129_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f3658,f2087,f580,f354,f318]) ).
fof(f3686,definition,
! [X0] :
( sQ348_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f3687,plain,
! [X0] :
( ~ sQ348_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f3686]) ).
fof(f3689,plain,
( ~ sQ69_spl
| sQ196_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f3661,f3686,f1443,f354]) ).
fof(f3690,plain,
( ~ sQ69_spl
| sQ141_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f3662,f3686,f703,f354]) ).
fof(f3693,plain,
! [X0] :
( ~ sQ348_spl
| ~ product(X0,e_3,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f3687]) ).
fof(f3700,plain,
( ~ sQ118_spl
| ~ sQ8_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f143,f3057]) ).
fof(f3702,plain,
( ~ sQ225_spl
| ~ sQ8_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f143,f1861]) ).
fof(f3703,plain,
( ~ sQ227_spl
| ~ sQ8_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f143,f1883]) ).
fof(f3704,plain,
( ~ sQ230_spl
| ~ sQ8_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f143,f1915]) ).
fof(f3705,plain,
( ~ sQ231_spl
| ~ sQ8_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f143,f1931]) ).
fof(f3706,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ8_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f143,f986]) ).
fof(f3707,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ8_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f143,f985]) ).
fof(f3708,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ8_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f143,f3061]) ).
fof(f3710,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ8_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f143,f2909]) ).
fof(f3711,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ8_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f143,f2908]) ).
fof(f3712,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f143,f698]) ).
fof(f3713,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f143,f697]) ).
fof(f3721,plain,
( ~ sQ118_spl
| ~ sQ8_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f3700,f556,f142,f521]) ).
fof(f3722,plain,
( ~ sQ18_spl
| ~ sQ8_spl
| sQ132_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f3706,f1046,f615,f142,f177]) ).
fof(f3723,plain,
( ~ sQ18_spl
| ~ sQ8_spl
| sQ137_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f3707,f1046,f661,f142,f177]) ).
fof(f3724,plain,
( ~ sQ118_spl
| ~ sQ8_spl
| sQ126_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f3708,f3072,f556,f142,f521]) ).
fof(f3726,definition,
! [X0] :
( sQ349_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f3727,plain,
! [X0] :
( ~ sQ349_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f3726]) ).
fof(f3729,plain,
( ~ sQ123_spl
| ~ sQ8_spl
| sQ126_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f3710,f3726,f556,f142,f537]) ).
fof(f3730,plain,
( ~ sQ123_spl
| ~ sQ8_spl
| sQ135_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f3711,f3726,f647,f142,f537]) ).
fof(f3731,plain,
( ~ sQ8_spl
| sQ141_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f3712,f899,f703,f142]) ).
fof(f3732,plain,
( ~ sQ8_spl
| sQ146_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f3713,f899,f759,f142]) ).
fof(f3735,plain,
( ~ sQ74_spl
| ~ sQ302_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f371,f3278]) ).
fof(f3736,plain,
( ~ sQ74_spl
| ~ sQ302_spl ),
inference(contradiction_clause,[status(thm)],[f3735]) ).
fof(f3737,plain,
( ~ sQ37_spl
| ~ sQ245_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f242,f2574]) ).
fof(f3738,plain,
( ~ sQ37_spl
| ~ sQ245_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f3737]) ).
fof(f3739,plain,
( ~ sQ201_spl
| ~ sQ47_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1672,f241,f280,f1511]) ).
fof(f3740,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3130,f96]) ).
fof(f3741,plain,
( ~ sQ115_spl
| sQ133_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f3740,f3153,f619,f512]) ).
fof(f3742,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3131,f96]) ).
fof(f3743,plain,
( ~ sQ115_spl
| sQ127_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f3742,f3153,f560,f512]) ).
fof(f3749,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1198,f96]) ).
fof(f3750,plain,
( ~ sQ37_spl
| sQ132_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f3749,f2275,f615,f241]) ).
fof(f3751,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1199,f96]) ).
fof(f3752,plain,
( ~ sQ37_spl
| sQ148_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f3751,f2275,f773,f241]) ).
fof(f3754,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ88_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2547,f143]) ).
fof(f3756,plain,
( ~ sQ8_spl
| ~ sQ88_spl
| sQ139_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f3754,f2646,f682,f420,f142]) ).
fof(f3758,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ88_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2548,f143]) ).
fof(f3760,plain,
( ~ sQ8_spl
| ~ sQ88_spl
| sQ148_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f3758,f2646,f773,f420,f142]) ).
fof(f3769,plain,
( ~ sQ329_spl
| ~ sQ59_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f319,f3354]) ).
fof(f3770,plain,
( ~ sQ328_spl
| ~ sQ59_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f319,f3349]) ).
fof(f3771,plain,
( ~ sQ327_spl
| ~ sQ59_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f319,f3344]) ).
fof(f3772,plain,
( ~ sQ336_spl
| ~ sQ59_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f319,f3417]) ).
fof(f3774,plain,
( ~ sQ334_spl
| ~ sQ59_spl
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f319,f3407]) ).
fof(f3775,plain,
( ~ sQ333_spl
| ~ sQ59_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f319,f3402]) ).
fof(f3777,plain,
( ~ sQ341_spl
| ~ sQ59_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f319,f3468]) ).
fof(f3778,plain,
( ~ sQ339_spl
| ~ sQ59_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f319,f3458]) ).
fof(f3779,plain,
( ~ sQ344_spl
| ~ sQ59_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f319,f3497]) ).
fof(f3780,plain,
( ~ sQ337_spl
| ~ sQ59_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f319,f3423]) ).
fof(f3781,plain,
( ~ sQ342_spl
| ~ sQ59_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f319,f3473]) ).
fof(f3782,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ59_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f319,f1595]) ).
fof(f3783,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ59_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f319,f1594]) ).
fof(f3784,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ59_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f319,f1857]) ).
fof(f3785,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ59_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f319,f1858]) ).
fof(f3788,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f319,f1359]) ).
fof(f3789,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f319,f1358]) ).
fof(f3797,plain,
( ~ sQ333_spl
| ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3775,f152,f318,f3401]) ).
fof(f3798,plain,
( ~ sQ341_spl
| ~ sQ59_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3777,f142,f318,f3467]) ).
fof(f3799,plain,
( ~ sQ49_spl
| ~ sQ59_spl
| sQ148_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f3782,f1724,f773,f318,f286]) ).
fof(f3800,plain,
( ~ sQ49_spl
| ~ sQ59_spl
| sQ196_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f3783,f1724,f1443,f318,f286]) ).
fof(f3801,plain,
( ~ sQ74_spl
| ~ sQ59_spl
| sQ160_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f3784,f1937,f919,f318,f370]) ).
fof(f3802,plain,
( ~ sQ74_spl
| ~ sQ59_spl
| sQ129_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f3785,f1937,f580,f318,f370]) ).
fof(f3803,definition,
! [X0] :
( sQ350_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f3804,plain,
! [X0] :
( ~ sQ350_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f3803]) ).
fof(f3808,plain,
( ~ sQ59_spl
| sQ141_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f3788,f1492,f703,f318]) ).
fof(f3809,plain,
( ~ sQ59_spl
| sQ196_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f3789,f1492,f1443,f318]) ).
fof(f3814,plain,
( ~ sQ267_spl
| ~ sQ95_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f444,f2557]) ).
fof(f3815,plain,
( ~ sQ269_spl
| ~ sQ95_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f444,f2567]) ).
fof(f3816,plain,
( ~ sQ90_spl
| ~ sQ95_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f444,f2480]) ).
fof(f3818,plain,
( ~ sQ317_spl
| ~ sQ95_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f444,f3223]) ).
fof(f3819,plain,
( ~ sQ287_spl
| ~ sQ95_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f444,f2857]) ).
fof(f3820,plain,
( ~ sQ273_spl
| ~ sQ95_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f444,f2647]) ).
fof(f3821,plain,
( ~ sQ274_spl
| ~ sQ95_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f444,f2653]) ).
fof(f3822,plain,
( ~ sQ270_spl
| ~ sQ95_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f444,f2586]) ).
fof(f3823,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ95_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f444,f3131]) ).
fof(f3824,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ95_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f444,f3130]) ).
fof(f3827,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ95_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f444,f2483]) ).
fof(f3828,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ95_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f444,f2484]) ).
fof(f3829,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f444,f2348]) ).
fof(f3830,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f444,f2347]) ).
fof(f3838,plain,
( ~ sQ90_spl
| ~ sQ95_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3816,f615,f443,f427]) ).
fof(f3839,plain,
( ~ sQ287_spl
| ~ sQ95_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3819,f152,f443,f2856]) ).
fof(f3840,plain,
( ~ sQ270_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3822,f96]) ).
fof(f3841,plain,
( ~ sQ270_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f3840]) ).
fof(f3842,plain,
( ~ sQ115_spl
| ~ sQ95_spl
| sQ126_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f3823,f3133,f556,f443,f512]) ).
fof(f3843,plain,
( ~ sQ115_spl
| ~ sQ95_spl
| sQ183_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f3824,f3133,f1286,f443,f512]) ).
fof(f3844,definition,
! [X0] :
( sQ351_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f3845,plain,
! [X0] :
( ~ sQ351_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f3844]) ).
fof(f3847,plain,
( ~ sQ95_spl
| sQ141_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f3829,f3844,f703,f443]) ).
fof(f3848,plain,
( ~ sQ95_spl
| sQ253_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f3830,f3844,f2271,f443]) ).
fof(f3851,plain,
( ~ sQ210_spl
| ~ sQ105_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f3433,f499,f480,f1710]) ).
fof(f3852,definition,
! [X0] :
( sQ352_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f3853,plain,
! [X0] :
( ~ sQ352_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f3852]) ).
fof(f3855,plain,
( ~ sQ92_spl
| sQ137_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f2443,f3852,f661,f433]) ).
fof(f3856,plain,
( ~ sQ92_spl
| sQ187_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f2444,f3852,f1341,f433]) ).
fof(f3857,plain,
( ~ sQ77_spl
| ~ sQ345_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f3642]) ).
fof(f3858,plain,
( ~ sQ77_spl
| ~ sQ345_spl ),
inference(contradiction_clause,[status(thm)],[f3857]) ).
fof(f3859,plain,
! [X0] :
( ~ sQ351_spl
| ~ product(X0,e_5,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f3845]) ).
fof(f3866,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ123_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f538,f2548]) ).
fof(f3867,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ123_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f538,f2547]) ).
fof(f3868,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f538,f2909]) ).
fof(f3869,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f538,f2908]) ).
fof(f3877,definition,
! [X0] :
( sQ353_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f3878,plain,
! [X0] :
( ~ sQ353_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f3877]) ).
fof(f3880,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| sQ184_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f3866,f3877,f1293,f537,f420]) ).
fof(f3881,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| sQ127_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f3867,f3877,f560,f537,f420]) ).
fof(f3882,definition,
! [X0] :
( sQ354_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f3883,plain,
! [X0] :
( ~ sQ354_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f3882]) ).
fof(f3885,plain,
( ~ sQ123_spl
| sQ253_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f3868,f3882,f2271,f537]) ).
fof(f3886,plain,
( ~ sQ123_spl
| sQ153_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f3869,f3882,f840,f537]) ).
fof(f3889,plain,
! [X0] :
( ~ sQ354_spl
| ~ product(X0,e_1,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f3883]) ).
fof(f3890,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ15_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1045,f444]) ).
fof(f3892,definition,
! [X0] :
( sQ355_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f3893,plain,
! [X0] :
( ~ sQ355_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f3892]) ).
fof(f3895,plain,
( ~ sQ95_spl
| ~ sQ15_spl
| sQ132_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f3890,f3892,f615,f168,f443]) ).
fof(f3897,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ15_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1044,f444]) ).
fof(f3899,plain,
( ~ sQ95_spl
| ~ sQ15_spl
| sQ187_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f3897,f3892,f1341,f168,f443]) ).
fof(f3903,definition,
! [X0] :
( sQ356_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f3904,plain,
! [X0] :
( ~ sQ356_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f3903]) ).
fof(f3912,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ105_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3450,f444]) ).
fof(f3914,plain,
( ~ sQ95_spl
| ~ sQ105_spl
| sQ126_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f3912,f3462,f556,f480,f443]) ).
fof(f3916,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ105_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3449,f444]) ).
fof(f3918,plain,
( ~ sQ95_spl
| ~ sQ105_spl
| sQ209_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f3916,f3462,f1659,f480,f443]) ).
fof(f3924,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ55_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1508,f444]) ).
fof(f3926,definition,
! [X0] :
( sQ357_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f3927,plain,
! [X0] :
( ~ sQ357_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f3926]) ).
fof(f3929,plain,
( ~ sQ95_spl
| ~ sQ55_spl
| sQ141_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f3924,f3926,f703,f306,f443]) ).
fof(f3931,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ55_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1507,f444]) ).
fof(f3933,plain,
( ~ sQ95_spl
| ~ sQ55_spl
| sQ209_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f3931,f3926,f1659,f306,f443]) ).
fof(f3935,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ46_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1696,f153]) ).
fof(f3937,definition,
! [X0] :
( sQ358_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f3938,plain,
! [X0] :
( ~ sQ358_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f3937]) ).
fof(f3940,plain,
( ~ sQ11_spl
| ~ sQ46_spl
| sQ130_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f3935,f3937,f584,f277,f152]) ).
fof(f3942,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ46_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1697,f153]) ).
fof(f3944,plain,
( ~ sQ11_spl
| ~ sQ46_spl
| sQ148_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f3942,f3937,f773,f277,f152]) ).
fof(f3948,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2448,f96]) ).
fof(f3949,plain,
( ~ sQ92_spl
| sQ126_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f3948,f3852,f556,f433]) ).
fof(f3950,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2449,f96]) ).
fof(f3951,plain,
( ~ sQ92_spl
| sQ132_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f3950,f3852,f615,f433]) ).
fof(f3952,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f676,f96]) ).
fof(f3953,plain,
( ~ sQ9_spl
| sQ183_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f3952,f678,f1286,f145]) ).
fof(f3954,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f677,f96]) ).
fof(f3955,plain,
( ~ sQ9_spl
| sQ187_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f3954,f678,f1341,f145]) ).
fof(f3968,plain,
( ~ sQ18_spl
| ~ sQ348_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f178,f3693]) ).
fof(f3969,plain,
( ~ sQ18_spl
| ~ sQ348_spl ),
inference(contradiction_clause,[status(thm)],[f3968]) ).
fof(f3972,plain,
( ~ sQ87_spl
| ~ sQ351_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f418,f3859]) ).
fof(f3973,plain,
( ~ sQ87_spl
| ~ sQ351_spl ),
inference(contradiction_clause,[status(thm)],[f3972]) ).
fof(f3974,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ18_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f985,f538]) ).
fof(f3976,definition,
! [X0] :
( sQ359_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f3977,plain,
! [X0] :
( ~ sQ359_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f3976]) ).
fof(f3979,plain,
( ~ sQ123_spl
| ~ sQ18_spl
| sQ159_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f3974,f3976,f908,f177,f537]) ).
fof(f3981,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ18_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f986,f538]) ).
fof(f3983,plain,
( ~ sQ123_spl
| ~ sQ18_spl
| sQ183_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f3981,f3976,f1286,f177,f537]) ).
fof(f3985,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ38_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1172,f538]) ).
fof(f3987,definition,
! [X0] :
( sQ360_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f3988,plain,
! [X0] :
( ~ sQ360_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f3987]) ).
fof(f3990,plain,
( ~ sQ123_spl
| ~ sQ38_spl
| sQ133_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f3985,f3987,f619,f244,f537]) ).
fof(f3992,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ38_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1173,f538]) ).
fof(f3994,plain,
( ~ sQ123_spl
| ~ sQ38_spl
| sQ184_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f3992,f3987,f1293,f244,f537]) ).
fof(f4010,plain,
( ~ sQ166_spl
| ~ sQ31_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f223,f1027]) ).
fof(f4012,plain,
( ~ sQ234_spl
| ~ sQ31_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f223,f1966]) ).
fof(f4013,plain,
( ~ sQ222_spl
| ~ sQ31_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f223,f1833]) ).
fof(f4014,plain,
( ~ sQ185_spl
| ~ sQ31_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f223,f1329]) ).
fof(f4016,plain,
( ~ sQ168_spl
| ~ sQ31_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f223,f1047]) ).
fof(f4017,plain,
( ~ sQ167_spl
| ~ sQ31_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f223,f1033]) ).
fof(f4018,plain,
( ~ sQ169_spl
| ~ sQ31_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f223,f1052]) ).
fof(f4019,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ31_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f223,f610]) ).
fof(f4020,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ31_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f223,f611]) ).
fof(f4021,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f223,f103]) ).
fof(f4022,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f223,f102]) ).
fof(f4023,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f223,f95]) ).
fof(f4024,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f223,f93]) ).
fof(f4025,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f223,f91]) ).
fof(f4026,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f223,f100]) ).
fof(f4027,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f223,f98]) ).
fof(f4028,plain,
( ~ sQ234_spl
| ~ sQ31_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f4012,f244,f222,f1965]) ).
fof(f4029,plain,
( ~ sQ169_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4018,f96]) ).
fof(f4030,plain,
( ~ sQ169_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f4029]) ).
fof(f4031,plain,
( ~ sQ182_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f1300,f342,f1264]) ).
fof(f4046,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2079,f96]) ).
fof(f4047,plain,
( ~ sQ65_spl
| sQ130_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f4046,f2092,f584,f342]) ).
fof(f4048,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2078,f96]) ).
fof(f4049,plain,
( ~ sQ65_spl
| sQ159_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f4048,f2092,f908,f342]) ).
fof(f4076,plain,
( ~ sQ360_spl
| ~ sQ115_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f513,f3988]) ).
fof(f4077,plain,
( ~ sQ192_spl
| ~ sQ115_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f513,f1381]) ).
fof(f4079,plain,
( ~ sQ178_spl
| ~ sQ115_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f513,f1227]) ).
fof(f4080,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ115_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f513,f2078]) ).
fof(f4081,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ115_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f513,f2079]) ).
fof(f4082,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ115_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f513,f2803]) ).
fof(f4083,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ115_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f513,f2802]) ).
fof(f4086,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ115_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f513,f1507]) ).
fof(f4087,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ115_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f513,f1508]) ).
fof(f4088,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f513,f3131]) ).
fof(f4089,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f513,f3130]) ).
fof(f4097,definition,
! [X0] :
( sQ361_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f4098,plain,
! [X0] :
( ~ sQ361_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f4097]) ).
fof(f4100,plain,
( ~ sQ65_spl
| ~ sQ115_spl
| sQ137_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f4080,f4097,f661,f512,f342]) ).
fof(f4101,plain,
( ~ sQ65_spl
| ~ sQ115_spl
| sQ209_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f4081,f4097,f1659,f512,f342]) ).
fof(f4102,plain,
( ~ sQ80_spl
| ~ sQ115_spl
| sQ209_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f4082,f3098,f1659,f512,f395]) ).
fof(f4103,plain,
( ~ sQ80_spl
| ~ sQ115_spl
| sQ139_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f4083,f3098,f682,f512,f395]) ).
fof(f4106,definition,
! [X0] :
( sQ362_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f4107,plain,
! [X0] :
( ~ sQ362_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f4106]) ).
fof(f4109,plain,
( ~ sQ55_spl
| ~ sQ115_spl
| sQ143_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f4086,f4106,f712,f512,f306]) ).
fof(f4110,plain,
( ~ sQ55_spl
| ~ sQ115_spl
| sQ187_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f4087,f4106,f1341,f512,f306]) ).
fof(f4111,definition,
! [X0] :
( sQ363_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f4112,plain,
! [X0] :
( ~ sQ363_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f4111]) ).
fof(f4114,plain,
( ~ sQ115_spl
| sQ253_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f4088,f4111,f2271,f512]) ).
fof(f4115,plain,
( ~ sQ115_spl
| sQ146_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f4089,f4111,f759,f512]) ).
fof(f4118,plain,
! [X0] :
( ~ sQ363_spl
| ~ product(X0,e_2,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f4112]) ).
fof(f4121,plain,
( ~ sQ299_spl
| ~ sQ74_spl
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f371,f3063]) ).
fof(f4122,plain,
( ~ sQ9_spl
| ~ sQ74_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f371,f673]) ).
fof(f4123,plain,
( ~ sQ304_spl
| ~ sQ74_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f371,f3104]) ).
fof(f4125,plain,
( ~ sQ308_spl
| ~ sQ74_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f371,f3144]) ).
fof(f4126,plain,
( ~ sQ301_spl
| ~ sQ74_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f371,f3073]) ).
fof(f4127,plain,
( ~ sQ310_spl
| ~ sQ74_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f371,f3154]) ).
fof(f4128,plain,
( ~ sQ305_spl
| ~ sQ74_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f371,f3110]) ).
fof(f4129,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ74_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f371,f1237]) ).
fof(f4130,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ74_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f371,f1236]) ).
fof(f4131,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ74_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f371,f1595]) ).
fof(f4132,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ74_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f371,f1594]) ).
fof(f4135,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ74_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f371,f677]) ).
fof(f4136,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ74_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f371,f676]) ).
fof(f4137,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f371,f1857]) ).
fof(f4138,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f371,f1858]) ).
fof(f4146,plain,
( ~ sQ9_spl
| ~ sQ74_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f4122,f654,f370,f145]) ).
fof(f4147,definition,
! [X0] :
( sQ364_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f4148,plain,
! [X0] :
( ~ sQ364_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f4147]) ).
fof(f4150,plain,
( ~ sQ34_spl
| ~ sQ74_spl
| sQ134_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f4129,f4147,f640,f370,f231]) ).
fof(f4151,plain,
( ~ sQ34_spl
| ~ sQ74_spl
| sQ137_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f4130,f4147,f661,f370,f231]) ).
fof(f4152,definition,
! [X0] :
( sQ365_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f4153,plain,
! [X0] :
( ~ sQ365_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f4152]) ).
fof(f4155,plain,
( ~ sQ49_spl
| ~ sQ74_spl
| sQ134_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f4131,f4152,f640,f370,f286]) ).
fof(f4156,plain,
( ~ sQ49_spl
| ~ sQ74_spl
| sQ143_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f4132,f4152,f712,f370,f286]) ).
fof(f4157,definition,
! [X0] :
( sQ366_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f4158,plain,
! [X0] :
( ~ sQ366_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f4157]) ).
fof(f4162,plain,
( ~ sQ9_spl
| ~ sQ74_spl
| sQ136_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f4135,f1882,f654,f370,f145]) ).
fof(f4163,plain,
( ~ sQ9_spl
| ~ sQ74_spl
| sQ146_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f4136,f1882,f759,f370,f145]) ).
fof(f4164,plain,
( ~ sQ74_spl
| sQ146_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f4137,f1953,f759,f370]) ).
fof(f4165,plain,
( ~ sQ74_spl
| sQ196_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f4138,f1953,f1443,f370]) ).
fof(f4170,definition,
! [X0] :
( sQ367_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f4171,plain,
! [X0] :
( ~ sQ367_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f4170]) ).
fof(f4173,plain,
( ~ sQ11_spl
| ~ sQ31_spl
| sQ148_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f4019,f4170,f773,f222,f152]) ).
fof(f4174,plain,
( ~ sQ11_spl
| ~ sQ31_spl
| sQ159_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f4020,f4170,f908,f222,f152]) ).
fof(f4175,definition,
! [X0] :
( sQ368_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f4176,plain,
! [X0] :
( ~ sQ368_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f4175]) ).
fof(f4178,plain,
( ~ sQ31_spl
| sQ133_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f4021,f4175,f619,f222]) ).
fof(f4179,plain,
( ~ sQ31_spl
| sQ132_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f4022,f4175,f615,f222]) ).
fof(f4180,plain,
( ~ sQ168_spl
| ~ sQ31_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f4016,f241,f222,f1046]) ).
fof(f4181,plain,
( ~ sQ74_spl
| ~ sQ363_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f371,f4118]) ).
fof(f4182,plain,
( ~ sQ74_spl
| ~ sQ363_spl ),
inference(contradiction_clause,[status(thm)],[f4181]) ).
fof(f4183,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ8_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f697,f538]) ).
fof(f4185,plain,
( ~ sQ123_spl
| ~ sQ8_spl
| sQ133_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f4183,f3726,f619,f142,f537]) ).
fof(f4187,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ8_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f698,f538]) ).
fof(f4189,plain,
( ~ sQ123_spl
| ~ sQ8_spl
| sQ187_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f4187,f3726,f1341,f142,f537]) ).
fof(f4217,plain,
( ~ sQ55_spl
| ~ sQ50_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f291,f1504]) ).
fof(f4219,plain,
( ~ sQ365_spl
| ~ sQ50_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f291,f4153]) ).
fof(f4220,plain,
( ~ sQ346_spl
| ~ sQ50_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f291,f3673]) ).
fof(f4221,plain,
( ~ sQ358_spl
| ~ sQ50_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f291,f3938]) ).
fof(f4222,plain,
( ~ sQ316_spl
| ~ sQ50_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f291,f3218]) ).
fof(f4223,plain,
( ~ sQ255_spl
| ~ sQ50_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f291,f2284]) ).
fof(f4224,plain,
( ~ sQ213_spl
| ~ sQ50_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f291,f1730]) ).
fof(f4225,plain,
( ~ sQ211_spl
| ~ sQ50_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f291,f1717]) ).
fof(f4226,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ50_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f291,f2803]) ).
fof(f4227,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ50_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f291,f2802]) ).
fof(f4228,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ50_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f291,f1507]) ).
fof(f4229,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ50_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f291,f1508]) ).
fof(f4230,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ50_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f291,f2347]) ).
fof(f4231,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ50_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f291,f2348]) ).
fof(f4232,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ50_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f291,f2078]) ).
fof(f4233,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ50_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f291,f2079]) ).
fof(f4234,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f291,f1583]) ).
fof(f4235,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f291,f1582]) ).
fof(f4243,plain,
( ~ sQ55_spl
| ~ sQ50_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f4217,f661,f290,f306]) ).
fof(f4244,plain,
( ~ sQ346_spl
| ~ sQ50_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4220,f177,f290,f3672]) ).
fof(f4245,plain,
( ~ sQ213_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4224,f96]) ).
fof(f4246,plain,
( ~ sQ213_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f4245]) ).
fof(f4247,plain,
( ~ sQ95_spl
| ~ sQ50_spl
| sQ191_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f4230,f2261,f1374,f290,f443]) ).
fof(f4248,plain,
( ~ sQ95_spl
| ~ sQ50_spl
| sQ137_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f4231,f2261,f661,f290,f443]) ).
fof(f4249,definition,
! [X0] :
( sQ369_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f4250,plain,
! [X0] :
( ~ sQ369_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f4249]) ).
fof(f4252,plain,
( ~ sQ50_spl
| sQ146_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f4234,f4249,f759,f290]) ).
fof(f4253,plain,
( ~ sQ50_spl
| sQ196_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f4235,f4249,f1443,f290]) ).
fof(f4256,plain,
( ~ sQ105_spl
| ~ sQ207_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f481,f1657]) ).
fof(f4257,plain,
( ~ sQ105_spl
| ~ sQ207_spl ),
inference(contradiction_clause,[status(thm)],[f4256]) ).
fof(f4258,plain,
( ~ sQ264_spl
| ~ sQ81_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f2773,f364,f398,f2490]) ).
fof(f4259,plain,
! [X0] :
( ~ sQ369_spl
| ~ product(X0,e_4,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f4250]) ).
fof(f4260,plain,
( ~ sQ329_spl
| ~ sQ59_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3769,f133,f318,f3353]) ).
fof(f4273,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ105_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3449,f291]) ).
fof(f4275,plain,
( ~ sQ50_spl
| ~ sQ105_spl
| sQ196_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f4273,f3343,f1443,f480,f290]) ).
fof(f4295,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ115_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3130,f291]) ).
fof(f4297,plain,
( ~ sQ50_spl
| ~ sQ115_spl
| sQ160_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f4295,f3138,f919,f512,f290]) ).
fof(f4299,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ115_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3131,f291]) ).
fof(f4301,plain,
( ~ sQ50_spl
| ~ sQ115_spl
| sQ139_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f4299,f3138,f682,f512,f290]) ).
fof(f4315,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ90_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2483,f291]) ).
fof(f4317,plain,
( ~ sQ50_spl
| ~ sQ90_spl
| sQ191_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f4315,f2485,f1374,f427,f290]) ).
fof(f4327,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ33_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1252,f538]) ).
fof(f4328,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1252,f96]) ).
fof(f4329,definition,
! [X0] :
( sQ370_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f4330,plain,
! [X0] :
( ~ sQ370_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f4329]) ).
fof(f4332,plain,
( ~ sQ123_spl
| ~ sQ33_spl
| sQ159_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f4327,f4329,f908,f228,f537]) ).
fof(f4333,plain,
( ~ sQ33_spl
| sQ136_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f4328,f1264,f654,f228]) ).
fof(f4334,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ33_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1253,f538]) ).
fof(f4335,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1253,f96]) ).
fof(f4336,plain,
( ~ sQ123_spl
| ~ sQ33_spl
| sQ184_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f4334,f4329,f1293,f228,f537]) ).
fof(f4337,plain,
( ~ sQ33_spl
| sQ134_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f4335,f1264,f640,f228]) ).
fof(f4340,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ5_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f769,f291]) ).
fof(f4342,definition,
! [X0] :
( sQ371_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f4343,plain,
! [X0] :
( ~ sQ371_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f4342]) ).
fof(f4345,plain,
( ~ sQ50_spl
| ~ sQ5_spl
| sQ137_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f4340,f4342,f661,f133,f290]) ).
fof(f4347,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ5_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f768,f291]) ).
fof(f4349,plain,
( ~ sQ50_spl
| ~ sQ5_spl
| sQ160_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f4347,f4342,f919,f133,f290]) ).
fof(f4365,plain,
( ~ sQ50_spl
| ~ sQ105_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f3446,f291]) ).
fof(f4366,plain,
( ~ sQ50_spl
| ~ sQ105_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f4365,f682,f480,f290]) ).
fof(f4367,plain,
( ~ sQ65_spl
| ~ sQ50_spl
| sQ136_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f4232,f2010,f654,f290,f342]) ).
fof(f4368,plain,
( ~ sQ65_spl
| ~ sQ50_spl
| sQ143_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f4233,f2010,f712,f290,f342]) ).
fof(f4369,plain,
( ~ sQ106_spl
| ~ sQ369_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f484,f4259]) ).
fof(f4370,plain,
( ~ sQ106_spl
| ~ sQ369_spl ),
inference(contradiction_clause,[status(thm)],[f4369]) ).
fof(f4375,plain,
( ~ sQ81_spl
| ~ sQ76_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f378,f2780]) ).
fof(f4376,plain,
( ~ sQ11_spl
| ~ sQ76_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f378,f607]) ).
fof(f4377,plain,
! [X0] :
( ~ sQ76_spl
| ~ greater(e_2,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f378,f63]) ).
fof(f4378,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ76_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f378,f2783]) ).
fof(f4379,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ76_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f378,f2782]) ).
fof(f4380,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ76_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f378,f610]) ).
fof(f4381,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ76_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f378,f611]) ).
fof(f4382,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f378,f103]) ).
fof(f4383,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f378,f102]) ).
fof(f4384,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f378,f95]) ).
fof(f4385,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f378,f93]) ).
fof(f4386,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f378,f91]) ).
fof(f4387,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f378,f100]) ).
fof(f4388,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f378,f98]) ).
fof(f4389,plain,
( ~ sQ81_spl
| ~ sQ76_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f4375,f560,f377,f398]) ).
fof(f4390,plain,
( ~ sQ11_spl
| ~ sQ76_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f4376,f654,f377,f152]) ).
fof(f4391,definition,
! [X0] :
( sQ372_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f4392,plain,
! [X0] :
( ~ sQ372_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f4391]) ).
fof(f4394,plain,
( ~ sQ81_spl
| ~ sQ76_spl
| sQ196_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f4378,f4391,f1443,f377,f398]) ).
fof(f4395,plain,
( ~ sQ81_spl
| ~ sQ76_spl
| sQ127_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f4379,f4391,f560,f377,f398]) ).
fof(f4396,plain,
( ~ sQ11_spl
| ~ sQ76_spl
| sQ153_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f4380,f1766,f840,f377,f152]) ).
fof(f4397,plain,
( ~ sQ11_spl
| ~ sQ76_spl
| sQ136_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f4381,f1766,f654,f377,f152]) ).
fof(f4398,definition,
! [X0] :
( sQ373_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f4399,plain,
! [X0] :
( ~ sQ373_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f4398]) ).
fof(f4401,plain,
( ~ sQ76_spl
| sQ160_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f4382,f4398,f919,f377]) ).
fof(f4402,plain,
( ~ sQ76_spl
| sQ133_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f4383,f4398,f619,f377]) ).
fof(f4403,plain,
( ~ sQ180_spl
| ~ sQ65_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f2067,f364,f342,f1254]) ).
fof(f4404,plain,
( ~ sQ79_spl
| ~ sQ294_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f387,f2995]) ).
fof(f4405,plain,
( ~ sQ79_spl
| ~ sQ294_spl ),
inference(contradiction_clause,[status(thm)],[f4404]) ).
fof(f4406,plain,
( ~ sQ300_spl
| ~ sQ111_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f500,f3068]) ).
fof(f4407,plain,
( ~ sQ359_spl
| ~ sQ111_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f500,f3977]) ).
fof(f4408,plain,
( ~ sQ166_spl
| ~ sQ111_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f500,f1027]) ).
fof(f4409,plain,
( ~ sQ222_spl
| ~ sQ111_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f500,f1833]) ).
fof(f4410,plain,
( ~ sQ185_spl
| ~ sQ111_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f500,f1329]) ).
fof(f4412,plain,
( ~ sQ167_spl
| ~ sQ111_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f500,f1033]) ).
fof(f4413,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ111_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f500,f2783]) ).
fof(f4414,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ111_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f500,f2782]) ).
fof(f4415,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ111_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f500,f610]) ).
fof(f4416,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ111_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f500,f611]) ).
fof(f4417,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f500,f103]) ).
fof(f4418,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f500,f102]) ).
fof(f4419,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f500,f95]) ).
fof(f4420,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f500,f93]) ).
fof(f4421,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f500,f91]) ).
fof(f4422,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f500,f100]) ).
fof(f4423,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f500,f98]) ).
fof(f4424,plain,
( ~ sQ81_spl
| ~ sQ111_spl
| sQ209_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f4413,f3317,f1659,f499,f398]) ).
fof(f4425,plain,
( ~ sQ81_spl
| ~ sQ111_spl
| sQ126_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f4414,f3317,f556,f499,f398]) ).
fof(f4426,definition,
! [X0] :
( sQ374_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f4427,plain,
! [X0] :
( ~ sQ374_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f4426]) ).
fof(f4429,plain,
( ~ sQ11_spl
| ~ sQ111_spl
| sQ148_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f4415,f4426,f773,f499,f152]) ).
fof(f4430,plain,
( ~ sQ11_spl
| ~ sQ111_spl
| sQ187_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f4416,f4426,f1341,f499,f152]) ).
fof(f4431,definition,
! [X0] :
( sQ375_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f4432,plain,
! [X0] :
( ~ sQ375_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f4431]) ).
fof(f4434,plain,
( ~ sQ111_spl
| sQ183_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f4417,f4431,f1286,f499]) ).
fof(f4435,plain,
( ~ sQ111_spl
| sQ132_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f4418,f4431,f615,f499]) ).
fof(f4439,plain,
( ~ sQ356_spl
| ~ sQ29_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f213,f3904]) ).
fof(f4440,plain,
( ~ sQ295_spl
| ~ sQ29_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f213,f2935]) ).
fof(f4441,plain,
( ~ sQ297_spl
| ~ sQ29_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f213,f2955]) ).
fof(f4442,plain,
! [X0] :
( ~ sQ29_spl
| ~ greater(e_5,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f213,f63]) ).
fof(f4454,definition,
! [X0] :
( sQ376_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f4455,plain,
! [X0] :
( ~ sQ376_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f4454]) ).
fof(f4459,definition,
! [X0] :
( sQ377_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f4460,plain,
! [X0] :
( ~ sQ377_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f4459]) ).
fof(f4466,plain,
! [X0] :
( ~ sQ377_spl
| ~ product(X0,e_1,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f4460]) ).
fof(f4467,plain,
( ~ sQ11_spl
| ~ sQ377_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f153,f4466]) ).
fof(f4468,plain,
( ~ sQ11_spl
| ~ sQ377_spl ),
inference(contradiction_clause,[status(thm)],[f4467]) ).
fof(f4469,plain,
( ~ sQ77_spl
| ~ sQ261_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f2772]) ).
fof(f4470,plain,
( ~ sQ77_spl
| ~ sQ261_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f4469]) ).
fof(f4529,plain,
( ~ sQ142_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f709,f96]) ).
fof(f4539,plain,
( ~ sQ309_spl
| ~ sQ81_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f399,f3149]) ).
fof(f4540,plain,
( ~ sQ352_spl
| ~ sQ81_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f399,f3853]) ).
fof(f4541,plain,
( ~ sQ332_spl
| ~ sQ81_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f399,f3397]) ).
fof(f4542,plain,
( ~ sQ322_spl
| ~ sQ81_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f399,f3268]) ).
fof(f4543,plain,
( ~ sQ281_spl
| ~ sQ81_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f399,f2819]) ).
fof(f4544,plain,
( ~ sQ282_spl
| ~ sQ81_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f399,f2824]) ).
fof(f4549,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ81_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f399,f1697]) ).
fof(f4550,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ81_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f399,f1696]) ).
fof(f4551,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f399,f2783]) ).
fof(f4552,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f399,f2782]) ).
fof(f4562,plain,
( ~ sQ309_spl
| ~ sQ81_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f4539,f370,f398,f3148]) ).
fof(f4563,plain,
( ~ sQ322_spl
| ~ sQ81_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f4542,f354,f398,f3267]) ).
fof(f4564,plain,
( ~ sQ46_spl
| ~ sQ81_spl
| sQ134_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f4549,f2861,f640,f398,f277]) ).
fof(f4565,plain,
( ~ sQ46_spl
| ~ sQ81_spl
| sQ209_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f4550,f2861,f1659,f398,f277]) ).
fof(f4566,definition,
! [X0] :
( sQ378_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f4567,plain,
! [X0] :
( ~ sQ378_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f4566]) ).
fof(f4569,plain,
( ~ sQ81_spl
| sQ196_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f4551,f4566,f1443,f398]) ).
fof(f4570,plain,
( ~ sQ81_spl
| sQ253_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f4552,f4566,f2271,f398]) ).
fof(f4575,plain,
! [X0] :
( ~ sQ378_spl
| ~ product(X0,e_5,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f4567]) ).
fof(f4580,plain,
( ~ sQ46_spl
| ~ sQ106_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f484,f1693]) ).
fof(f4581,plain,
( ~ sQ203_spl
| ~ sQ106_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f484,f1533]) ).
fof(f4582,plain,
( ~ sQ208_spl
| ~ sQ106_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f484,f1631]) ).
fof(f4584,plain,
( ~ sQ320_spl
| ~ sQ106_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f484,f3258]) ).
fof(f4585,plain,
( ~ sQ235_spl
| ~ sQ106_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f484,f2011]) ).
fof(f4586,plain,
( ~ sQ307_spl
| ~ sQ106_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f484,f3139]) ).
fof(f4587,plain,
( ~ sQ371_spl
| ~ sQ106_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f484,f4343]) ).
fof(f4588,plain,
( ~ sQ205_spl
| ~ sQ106_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f484,f1573]) ).
fof(f4589,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ106_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f484,f1697]) ).
fof(f4590,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ106_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f484,f1696]) ).
fof(f4591,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ106_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f484,f610]) ).
fof(f4592,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ106_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f484,f611]) ).
fof(f4593,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f484,f103]) ).
fof(f4594,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f484,f102]) ).
fof(f4595,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f484,f95]) ).
fof(f4596,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f484,f93]) ).
fof(f4597,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_2,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f484,f91]) ).
fof(f4598,plain,
! [X0,X1,X2] :
( ~ sQ106_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f484,f100]) ).
fof(f4599,plain,
! [X0,X1,X2] :
( ~ sQ106_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f484,f98]) ).
fof(f4600,plain,
( ~ sQ46_spl
| ~ sQ106_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f4580,f1293,f483,f277]) ).
fof(f4601,definition,
! [X0] :
( sQ379_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f4602,plain,
! [X0] :
( ~ sQ379_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f4601]) ).
fof(f4604,plain,
( ~ sQ46_spl
| ~ sQ106_spl
| sQ184_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f4589,f4601,f1293,f483,f277]) ).
fof(f4605,plain,
( ~ sQ46_spl
| ~ sQ106_spl
| sQ196_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f4590,f4601,f1443,f483,f277]) ).
fof(f4606,definition,
! [X0] :
( sQ380_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f4607,plain,
! [X0] :
( ~ sQ380_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f4606]) ).
fof(f4609,plain,
( ~ sQ11_spl
| ~ sQ106_spl
| sQ134_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f4591,f4606,f640,f483,f152]) ).
fof(f4610,plain,
( ~ sQ11_spl
| ~ sQ106_spl
| sQ187_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f4592,f4606,f1341,f483,f152]) ).
fof(f4611,definition,
! [X0] :
( sQ381_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f4612,plain,
! [X0] :
( ~ sQ381_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f4611]) ).
fof(f4614,plain,
( ~ sQ106_spl
| sQ183_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f4593,f4611,f1286,f483]) ).
fof(f4615,plain,
( ~ sQ106_spl
| sQ160_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f4594,f4611,f919,f483]) ).
fof(f4616,plain,
( ~ sQ98_spl
| ~ sQ378_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f453,f4575]) ).
fof(f4617,plain,
( ~ sQ98_spl
| ~ sQ378_spl ),
inference(contradiction_clause,[status(thm)],[f4616]) ).
fof(f4618,plain,
( ~ sQ179_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f1299,f496,f1238]) ).
fof(f4619,definition,
! [X0] :
( sQ382_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f4620,plain,
! [X0] :
( ~ sQ382_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f4619]) ).
fof(f4622,plain,
( ~ sQ47_spl
| ~ sQ92_spl
| sQ135_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f2441,f4619,f647,f433,f280]) ).
fof(f4623,plain,
( ~ sQ47_spl
| ~ sQ92_spl
| sQ209_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f2442,f4619,f1659,f433,f280]) ).
fof(f4624,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4598,f484]) ).
fof(f4625,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4598,f96]) ).
fof(f4626,plain,
( ~ sQ106_spl
| sQ196_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f4624,f3492,f1443,f483]) ).
fof(f4627,plain,
( ~ sQ106_spl
| sQ143_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f4625,f4611,f712,f483]) ).
fof(f4628,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4599,f484]) ).
fof(f4629,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4599,f96]) ).
fof(f4630,plain,
( ~ sQ106_spl
| sQ253_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f4628,f3492,f2271,f483]) ).
fof(f4631,plain,
( ~ sQ106_spl
| sQ139_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f4629,f4611,f682,f483]) ).
fof(f4636,plain,
! [X0] :
( ~ sQ122_spl
| ~ greater(e_3,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f535,f63]) ).
fof(f4637,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f535,f103]) ).
fof(f4638,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f535,f102]) ).
fof(f4639,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f535,f95]) ).
fof(f4640,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f535,f93]) ).
fof(f4641,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_3,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f535,f91]) ).
fof(f4642,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f535,f100]) ).
fof(f4643,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f535,f98]) ).
fof(f4644,definition,
! [X0] :
( sQ383_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f4645,plain,
! [X0] :
( ~ sQ383_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f4644]) ).
fof(f4647,plain,
( ~ sQ122_spl
| sQ187_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f4637,f4644,f1341,f534]) ).
fof(f4648,plain,
( ~ sQ122_spl
| sQ159_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f4638,f4644,f908,f534]) ).
fof(f4653,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ87_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2582,f535]) ).
fof(f4655,plain,
( ~ sQ122_spl
| ~ sQ87_spl
| sQ127_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f4653,f3877,f560,f417,f534]) ).
fof(f4657,plain,
( ~ sQ166_spl
| ~ sQ111_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4408,f535]) ).
fof(f4658,plain,
( ~ sQ166_spl
| ~ sQ111_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f4657]) ).
fof(f4659,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ92_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2448,f535]) ).
fof(f4661,definition,
! [X0] :
( sQ384_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f4662,plain,
! [X0] :
( ~ sQ384_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f4661]) ).
fof(f4664,plain,
( ~ sQ122_spl
| ~ sQ92_spl
| sQ127_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f4659,f4661,f560,f433,f534]) ).
fof(f4666,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ92_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2449,f535]) ).
fof(f4668,plain,
( ~ sQ122_spl
| ~ sQ92_spl
| sQ183_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f4666,f4661,f1286,f433,f534]) ).
fof(f4674,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f4642,f535]) ).
fof(f4675,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f4642,f96]) ).
fof(f4676,plain,
( ~ sQ122_spl
| sQ153_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f4674,f3882,f840,f534]) ).
fof(f4677,plain,
( ~ sQ122_spl
| sQ148_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f4675,f4644,f773,f534]) ).
fof(f4678,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f4643,f535]) ).
fof(f4679,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f4643,f96]) ).
fof(f4680,plain,
( ~ sQ122_spl
| sQ253_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f4678,f3882,f2271,f534]) ).
fof(f4681,plain,
( ~ sQ122_spl
| sQ126_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f4679,f4644,f556,f534]) ).
fof(f4715,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4422,f96]) ).
fof(f4716,plain,
( ~ sQ111_spl
| sQ137_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f4715,f4431,f661,f499]) ).
fof(f4717,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4423,f96]) ).
fof(f4718,plain,
( ~ sQ111_spl
| sQ139_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f4717,f4431,f682,f499]) ).
fof(f4719,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ37_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1198,f535]) ).
fof(f4721,plain,
( ~ sQ122_spl
| ~ sQ37_spl
| sQ133_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f4719,f3987,f619,f241,f534]) ).
fof(f4723,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ37_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1199,f535]) ).
fof(f4725,plain,
( ~ sQ122_spl
| ~ sQ37_spl
| sQ184_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f4723,f3987,f1293,f241,f534]) ).
fof(f4735,plain,
( ~ sQ179_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f1239,f96]) ).
fof(f4741,plain,
( ~ sQ364_spl
| ~ sQ15_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f169,f4148]) ).
fof(f4742,plain,
( ~ sQ368_spl
| ~ sQ15_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f169,f4176]) ).
fof(f4743,plain,
( ~ sQ186_spl
| ~ sQ15_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f169,f1335]) ).
fof(f4744,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ15_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f169,f1507]) ).
fof(f4745,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ15_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f169,f1508]) ).
fof(f4746,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ15_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f169,f3449]) ).
fof(f4747,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ15_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f169,f3450]) ).
fof(f4748,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ15_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f169,f2347]) ).
fof(f4749,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ15_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f169,f2348]) ).
fof(f4759,plain,
( ~ sQ368_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4742,f96]) ).
fof(f4760,plain,
( ~ sQ368_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f4759]) ).
fof(f4761,plain,
( ~ sQ55_spl
| ~ sQ15_spl
| sQ129_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4744,f1431,f580,f168,f306]) ).
fof(f4762,plain,
( ~ sQ55_spl
| ~ sQ15_spl
| sQ137_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4745,f1431,f661,f168,f306]) ).
fof(f4763,plain,
( ~ sQ105_spl
| ~ sQ15_spl
| sQ129_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f4746,f3457,f580,f168,f480]) ).
fof(f4764,plain,
( ~ sQ105_spl
| ~ sQ15_spl
| sQ139_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f4747,f3457,f682,f168,f480]) ).
fof(f4765,plain,
( ~ sQ95_spl
| ~ sQ15_spl
| sQ126_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f4748,f3892,f556,f168,f443]) ).
fof(f4766,plain,
( ~ sQ95_spl
| ~ sQ15_spl
| sQ137_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f4749,f3892,f661,f168,f443]) ).
fof(f4774,plain,
( ~ sQ374_spl
| ~ sQ69_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f355,f4427]) ).
fof(f4775,plain,
( ~ sQ375_spl
| ~ sQ69_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f355,f4432]) ).
fof(f4776,plain,
( ~ sQ314_spl
| ~ sQ69_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f355,f3192]) ).
fof(f4778,plain,
( ~ sQ321_spl
| ~ sQ69_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f355,f3263]) ).
fof(f4779,plain,
( ~ sQ318_spl
| ~ sQ69_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f355,f3229]) ).
fof(f4781,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ69_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f355,f1237]) ).
fof(f4782,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ69_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f355,f1236]) ).
fof(f4786,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ69_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f355,f1858]) ).
fof(f4796,definition,
! [X0] :
( sQ385_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f4797,plain,
! [X0] :
( ~ sQ385_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f4796]) ).
fof(f4799,plain,
( ~ sQ34_spl
| ~ sQ69_spl
| sQ134_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f4781,f4796,f640,f354,f231]) ).
fof(f4800,plain,
( ~ sQ34_spl
| ~ sQ69_spl
| sQ141_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f4782,f4796,f703,f354,f231]) ).
fof(f4803,definition,
! [X0] :
( sQ386_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f4804,plain,
! [X0] :
( ~ sQ386_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f4803]) ).
fof(f4807,plain,
( ~ sQ74_spl
| ~ sQ69_spl
| sQ196_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f4786,f4803,f1443,f354,f370]) ).
fof(f4815,plain,
( ~ sQ220_spl
| ~ sQ28_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f210,f1807]) ).
fof(f4816,plain,
( ~ sQ216_spl
| ~ sQ28_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f210,f1767]) ).
fof(f4817,plain,
( ~ sQ223_spl
| ~ sQ28_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f210,f1839]) ).
fof(f4818,plain,
! [X0] :
( ~ sQ28_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f210,f63]) ).
fof(f4834,definition,
! [X0] :
( sQ387_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f4835,plain,
! [X0] :
( ~ sQ387_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f4834]) ).
fof(f4847,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ11_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f153,f4423]) ).
fof(f4848,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ11_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f153,f4422]) ).
fof(f4860,plain,
( ~ sQ111_spl
| ~ sQ11_spl
| sQ126_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f4847,f4426,f556,f152,f499]) ).
fof(f4861,plain,
( ~ sQ111_spl
| ~ sQ11_spl
| sQ159_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f4848,f4426,f908,f152,f499]) ).
fof(f4900,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ90_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2484,f169]) ).
fof(f4902,plain,
( ~ sQ15_spl
| ~ sQ90_spl
| sQ146_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f4900,f2418,f759,f427,f168]) ).
fof(f4904,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ90_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2483,f169]) ).
fof(f4906,plain,
( ~ sQ15_spl
| ~ sQ90_spl
| sQ126_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f4904,f2418,f556,f427,f168]) ).
fof(f4908,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ47_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1680,f535]) ).
fof(f4910,definition,
! [X0] :
( sQ388_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f4911,plain,
! [X0] :
( ~ sQ388_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f4910]) ).
fof(f4913,plain,
( ~ sQ122_spl
| ~ sQ47_spl
| sQ130_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f4908,f4910,f584,f280,f534]) ).
fof(f4915,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ47_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1681,f535]) ).
fof(f4917,plain,
( ~ sQ122_spl
| ~ sQ47_spl
| sQ184_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f4915,f4910,f1293,f280,f534]) ).
fof(f4930,plain,
( ~ sQ15_spl
| ~ sQ181_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f1260,f169]) ).
fof(f4934,plain,
( ~ sQ69_spl
| ~ sQ74_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1855,f355]) ).
fof(f4935,plain,
( ~ sQ69_spl
| ~ sQ74_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f4934,f615,f370,f354]) ).
fof(f4936,plain,
( ~ sQ371_spl
| ~ sQ106_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f4587,f518,f483,f4342]) ).
fof(f4937,plain,
( ~ sQ316_spl
| ~ sQ50_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f4222,f180,f290,f3217]) ).
fof(f4950,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ106_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4598,f153]) ).
fof(f4952,plain,
( ~ sQ11_spl
| ~ sQ106_spl
| sQ130_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f4950,f4606,f584,f483,f152]) ).
fof(f4954,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ106_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4599,f153]) ).
fof(f4956,plain,
( ~ sQ11_spl
| ~ sQ106_spl
| sQ126_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f4954,f4606,f556,f483,f152]) ).
fof(f4959,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f4026,f96]) ).
fof(f4961,plain,
( ~ sQ31_spl
| sQ137_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f4959,f4175,f661,f222]) ).
fof(f4963,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f4027,f96]) ).
fof(f4965,plain,
( ~ sQ31_spl
| sQ135_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f4963,f4175,f647,f222]) ).
fof(f4972,plain,
( ~ sQ77_spl
| ~ sQ304_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f4123]) ).
fof(f4973,plain,
( ~ sQ77_spl
| ~ sQ304_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f4972]) ).
fof(f4976,plain,
( ~ sQ264_spl
| ~ sQ81_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f399,f2491]) ).
fof(f4977,plain,
( ~ sQ384_spl
| ~ sQ81_spl
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f399,f4662]) ).
fof(f4978,plain,
( ~ sQ382_spl
| ~ sQ81_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f399,f4620]) ).
fof(f4981,plain,
( ~ sQ352_spl
| ~ sQ81_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f399,f3853]) ).
fof(f4982,plain,
( ~ sQ332_spl
| ~ sQ81_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f399,f3397]) ).
fof(f4983,plain,
( ~ sQ281_spl
| ~ sQ81_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f399,f2819]) ).
fof(f4987,plain,
( ~ sQ265_spl
| ~ sQ81_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f399,f2496]) ).
fof(f4989,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ81_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f399,f4027]) ).
fof(f4990,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ81_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f399,f4026]) ).
fof(f4991,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ81_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f399,f4599]) ).
fof(f4992,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ81_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f399,f4598]) ).
fof(f5004,definition,
! [X0] :
( sQ389_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f5005,plain,
! [X0] :
( ~ sQ389_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f5004]) ).
fof(f5007,plain,
( ~ sQ31_spl
| ~ sQ81_spl
| sQ134_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f4989,f5004,f640,f398,f222]) ).
fof(f5008,plain,
( ~ sQ31_spl
| ~ sQ81_spl
| sQ187_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f4990,f5004,f1341,f398,f222]) ).
fof(f5009,plain,
( ~ sQ106_spl
| ~ sQ81_spl
| sQ191_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f4991,f3452,f1374,f398,f483]) ).
fof(f5010,plain,
( ~ sQ106_spl
| ~ sQ81_spl
| sQ209_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f4992,f3452,f1659,f398,f483]) ).
fof(f5017,plain,
( ~ sQ81_spl
| ~ sQ322_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f3268,f399]) ).
fof(f5022,plain,
( ~ sQ308_spl
| ~ sQ74_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f371,f3144]) ).
fof(f5024,plain,
( ~ sQ305_spl
| ~ sQ74_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f371,f3110]) ).
fof(f5026,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ74_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f371,f970]) ).
fof(f5027,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ74_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f371,f969]) ).
fof(f5030,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ74_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f371,f1359]) ).
fof(f5031,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ74_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f371,f1358]) ).
fof(f5041,plain,
( ~ sQ19_spl
| ~ sQ74_spl
| sQ160_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f5026,f1965,f919,f370,f180]) ).
fof(f5042,plain,
( ~ sQ19_spl
| ~ sQ74_spl
| sQ137_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f5027,f1965,f661,f370,f180]) ).
fof(f5045,plain,
( ~ sQ59_spl
| ~ sQ74_spl
| sQ136_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f5030,f1937,f654,f370,f318]) ).
fof(f5046,plain,
( ~ sQ59_spl
| ~ sQ74_spl
| sQ143_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f5031,f1937,f712,f370,f318]) ).
fof(f5056,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ54_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1529,f371]) ).
fof(f5058,definition,
! [X0] :
( sQ390_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f5059,plain,
! [X0] :
( ~ sQ390_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f5058]) ).
fof(f5061,plain,
( ~ sQ74_spl
| ~ sQ54_spl
| sQ143_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f5056,f5058,f712,f302,f370]) ).
fof(f5063,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ54_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1530,f371]) ).
fof(f5065,plain,
( ~ sQ74_spl
| ~ sQ54_spl
| sQ160_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f5063,f5058,f919,f302,f370]) ).
fof(f5084,plain,
( ~ sQ122_spl
| ~ sQ117_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f519,f4640]) ).
fof(f5085,plain,
( ~ sQ387_spl
| ~ sQ117_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f519,f4835]) ).
fof(f5086,plain,
( ~ sQ147_spl
| ~ sQ117_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f519,f771]) ).
fof(f5087,plain,
( ~ sQ349_spl
| ~ sQ117_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f519,f3727]) ).
fof(f5088,plain,
( ~ sQ140_spl
| ~ sQ117_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f519,f701]) ).
fof(f5089,plain,
( ~ sQ219_spl
| ~ sQ117_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f519,f1802]) ).
fof(f5090,plain,
( ~ sQ175_spl
| ~ sQ117_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f519,f1176]) ).
fof(f5091,plain,
( ~ sQ145_spl
| ~ sQ117_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f519,f756]) ).
fof(f5092,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ117_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f519,f1681]) ).
fof(f5093,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ117_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f519,f1680]) ).
fof(f5094,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ117_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f519,f4643]) ).
fof(f5095,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ117_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f519,f4642]) ).
fof(f5096,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f519,f103]) ).
fof(f5097,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f519,f102]) ).
fof(f5098,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f519,f95]) ).
fof(f5099,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f519,f93]) ).
fof(f5100,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_3,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f519,f91]) ).
fof(f5101,plain,
! [X0,X1,X2] :
( ~ sQ117_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f519,f100]) ).
fof(f5102,plain,
! [X0,X1,X2] :
( ~ sQ117_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f519,f98]) ).
fof(f5103,plain,
( ~ sQ122_spl
| ~ sQ117_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f5084,f647,f518,f534]) ).
fof(f5104,plain,
( ~ sQ140_spl
| ~ sQ117_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5088,f535]) ).
fof(f5105,plain,
( ~ sQ140_spl
| ~ sQ117_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f5104]) ).
fof(f5106,plain,
( ~ sQ192_spl
| ~ sQ115_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4077,f535]) ).
fof(f5107,plain,
( ~ sQ192_spl
| ~ sQ115_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f5106]) ).
fof(f5108,plain,
( ~ sQ174_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f1283,f512,f1157]) ).
fof(f5116,plain,
( ~ sQ389_spl
| ~ sQ98_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f453,f5005]) ).
fof(f5117,plain,
( ~ sQ277_spl
| ~ sQ98_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f453,f2734]) ).
fof(f5118,plain,
( ~ sQ276_spl
| ~ sQ98_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f453,f2729]) ).
fof(f5119,plain,
( ~ sQ279_spl
| ~ sQ98_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f453,f2808]) ).
fof(f5120,plain,
( ~ sQ288_spl
| ~ sQ98_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f453,f2862]) ).
fof(f5121,plain,
( ~ sQ326_spl
| ~ sQ98_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f453,f3318]) ).
fof(f5122,plain,
( ~ sQ338_spl
| ~ sQ98_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f453,f3453]) ).
fof(f5123,plain,
( ~ sQ290_spl
| ~ sQ98_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f453,f2873]) ).
fof(f5124,plain,
( ~ sQ275_spl
| ~ sQ98_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f453,f2724]) ).
fof(f5125,plain,
( ~ sQ303_spl
| ~ sQ98_spl
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f453,f3099]) ).
fof(f5126,plain,
( ~ sQ372_spl
| ~ sQ98_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f453,f4392]) ).
fof(f5127,plain,
( ~ sQ286_spl
| ~ sQ98_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f453,f2852]) ).
fof(f5128,plain,
( ~ sQ278_spl
| ~ sQ98_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f453,f2740]) ).
fof(f5129,plain,
( ~ sQ280_spl
| ~ sQ98_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f453,f2813]) ).
fof(f5130,plain,
( ~ sQ291_spl
| ~ sQ98_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f453,f2878]) ).
fof(f5131,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f453,f2200]) ).
fof(f5132,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f453,f2201]) ).
fof(f5142,plain,
( ~ sQ288_spl
| ~ sQ98_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f5120,f306,f452,f2861]) ).
fof(f5143,plain,
( ~ sQ303_spl
| ~ sQ98_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5125,f145,f452,f3098]) ).
fof(f5144,plain,
( ~ sQ286_spl
| ~ sQ98_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f5127,f152,f452,f2851]) ).
fof(f5145,plain,
( ~ sQ98_spl
| sQ253_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f5131,f3844,f2271,f452]) ).
fof(f5146,plain,
( ~ sQ98_spl
| sQ141_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f5132,f3844,f703,f452]) ).
fof(f5151,plain,
( ~ sQ334_spl
| ~ sQ59_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f3774,f145,f318,f3406]) ).
fof(f5152,plain,
( ~ sQ122_spl
| ~ sQ77_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f381,f4639]) ).
fof(f5153,plain,
( ~ sQ152_spl
| ~ sQ77_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f381,f837]) ).
fof(f5154,plain,
! [X0] :
( ~ sQ77_spl
| ~ greater(e_3,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f381,f63]) ).
fof(f5155,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ77_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f381,f4643]) ).
fof(f5156,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ77_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f381,f4642]) ).
fof(f5157,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f381,f103]) ).
fof(f5158,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f381,f102]) ).
fof(f5159,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f381,f95]) ).
fof(f5160,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f381,f93]) ).
fof(f5161,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_3,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f381,f91]) ).
fof(f5162,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f381,f100]) ).
fof(f5163,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f381,f98]) ).
fof(f5164,plain,
( ~ sQ122_spl
| ~ sQ77_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f5152,f1374,f380,f534]) ).
fof(f5165,definition,
! [X0] :
( sQ391_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f5166,plain,
! [X0] :
( ~ sQ391_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f5165]) ).
fof(f5168,plain,
( ~ sQ122_spl
| ~ sQ77_spl
| sQ191_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f5155,f5165,f1374,f380,f534]) ).
fof(f5169,plain,
( ~ sQ122_spl
| ~ sQ77_spl
| sQ153_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f5156,f5165,f840,f380,f534]) ).
fof(f5170,definition,
! [X0] :
( sQ392_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f5171,plain,
! [X0] :
( ~ sQ392_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f5170]) ).
fof(f5173,plain,
( ~ sQ77_spl
| sQ136_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f5157,f5170,f654,f380]) ).
fof(f5174,plain,
( ~ sQ77_spl
| sQ159_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f5158,f5170,f908,f380]) ).
fof(f5175,plain,
( ~ sQ273_spl
| ~ sQ80_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f2786,f364,f395,f2646]) ).
fof(f5176,plain,
( ~ sQ229_spl
| ~ sQ118_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3046,f535]) ).
fof(f5177,plain,
( ~ sQ229_spl
| ~ sQ118_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f5176]) ).
fof(f5178,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ87_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2583,f535]) ).
fof(f5180,plain,
( ~ sQ122_spl
| ~ sQ87_spl
| sQ184_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f5178,f3877,f1293,f417,f534]) ).
fof(f5220,plain,
( ~ sQ392_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f5171,f96]) ).
fof(f5243,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ118_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3060,f453]) ).
fof(f5246,plain,
( ~ sQ98_spl
| ~ sQ118_spl
| sQ183_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f5243,f3133,f1286,f521,f452]) ).
fof(f5247,definition,
! [X0] :
( sQ393_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f5248,plain,
! [X0] :
( ~ sQ393_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f5247]) ).
fof(f5252,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ118_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3061,f453]) ).
fof(f5255,plain,
( ~ sQ98_spl
| ~ sQ118_spl
| sQ126_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f5252,f3133,f556,f521,f452]) ).
fof(f5273,plain,
( ~ sQ306_spl
| ~ sQ87_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f418,f3134]) ).
fof(f5274,plain,
( ~ sQ266_spl
| ~ sQ87_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f418,f2552]) ).
fof(f5275,plain,
( ~ sQ257_spl
| ~ sQ87_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f418,f2414]) ).
fof(f5276,plain,
( ~ sQ293_spl
| ~ sQ87_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f418,f2911]) ).
fof(f5277,plain,
( ~ sQ319_spl
| ~ sQ87_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f418,f3253]) ).
fof(f5278,plain,
( ~ sQ340_spl
| ~ sQ87_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f418,f3463]) ).
fof(f5279,plain,
( ~ sQ355_spl
| ~ sQ87_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f418,f3893]) ).
fof(f5280,plain,
( ~ sQ357_spl
| ~ sQ87_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f418,f3927]) ).
fof(f5281,plain,
( ~ sQ249_spl
| ~ sQ87_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f418,f2252]) ).
fof(f5282,plain,
( ~ sQ247_spl
| ~ sQ87_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f418,f2228]) ).
fof(f5283,plain,
( ~ sQ256_spl
| ~ sQ87_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f418,f2356]) ).
fof(f5284,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ87_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f418,f2449]) ).
fof(f5285,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ87_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f418,f2448]) ).
fof(f5286,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f418,f2582]) ).
fof(f5287,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f418,f2583]) ).
fof(f5292,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f418,f95]) ).
fof(f5293,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f418,f93]) ).
fof(f5295,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f418,f100]) ).
fof(f5296,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f418,f98]) ).
fof(f5297,plain,
( ~ sQ306_spl
| ~ sQ87_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f5273,f247,f417,f3133]) ).
fof(f5298,plain,
( ~ sQ340_spl
| ~ sQ87_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f5278,f286,f417,f3462]) ).
fof(f5299,plain,
( ~ sQ355_spl
| ~ sQ87_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f5279,f222,f417,f3892]) ).
fof(f5300,plain,
( ~ sQ256_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5283,f96]) ).
fof(f5301,plain,
( ~ sQ256_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f5300]) ).
fof(f5302,plain,
( ~ sQ147_spl
| ~ sQ72_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f771]) ).
fof(f5303,plain,
( ~ sQ387_spl
| ~ sQ72_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f365,f4835]) ).
fof(f5304,plain,
( ~ sQ349_spl
| ~ sQ72_spl
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f365,f3727]) ).
fof(f5305,plain,
( ~ sQ219_spl
| ~ sQ72_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f365,f1802]) ).
fof(f5307,plain,
( ~ sQ145_spl
| ~ sQ72_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f365,f756]) ).
fof(f5308,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ72_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f365,f2449]) ).
fof(f5309,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ72_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f365,f2448]) ).
fof(f5310,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ72_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f365,f4643]) ).
fof(f5311,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ72_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f365,f4642]) ).
fof(f5312,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f365,f103]) ).
fof(f5313,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f365,f102]) ).
fof(f5314,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f365,f95]) ).
fof(f5315,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f365,f93]) ).
fof(f5316,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f365,f91]) ).
fof(f5317,plain,
! [X0,X1,X2] :
( ~ sQ72_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f365,f100]) ).
fof(f5318,plain,
! [X0,X1,X2] :
( ~ sQ72_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f365,f98]) ).
fof(f5319,plain,
( ~ sQ349_spl
| ~ sQ72_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f5304,f386,f364,f3726]) ).
fof(f5320,plain,
( ~ sQ92_spl
| ~ sQ72_spl
| sQ160_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f5308,f2818,f919,f364,f433]) ).
fof(f5321,plain,
( ~ sQ92_spl
| ~ sQ72_spl
| sQ139_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f5309,f2818,f682,f364,f433]) ).
fof(f5322,definition,
! [X0] :
( sQ394_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f5323,plain,
! [X0] :
( ~ sQ394_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f5322]) ).
fof(f5325,plain,
( ~ sQ122_spl
| ~ sQ72_spl
| sQ191_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f5310,f5322,f1374,f364,f534]) ).
fof(f5326,plain,
( ~ sQ122_spl
| ~ sQ72_spl
| sQ135_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f5311,f5322,f647,f364,f534]) ).
fof(f5327,definition,
! [X0] :
( sQ395_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f5328,plain,
! [X0] :
( ~ sQ395_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f5327]) ).
fof(f5330,plain,
( ~ sQ72_spl
| sQ136_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f5312,f5327,f654,f364]) ).
fof(f5331,plain,
( ~ sQ72_spl
| sQ137_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f5313,f5327,f661,f364]) ).
fof(f5332,plain,
( ~ sQ395_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f5328,f96]) ).
fof(f5333,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f5317,f365]) ).
fof(f5334,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ72_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f5317,f535]) ).
fof(f5335,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f5317,f96]) ).
fof(f5336,plain,
( ~ sQ72_spl
| sQ146_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f5333,f1953,f759,f364]) ).
fof(f5337,plain,
( ~ sQ122_spl
| ~ sQ72_spl
| sQ133_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f5334,f5322,f619,f364,f534]) ).
fof(f5338,plain,
( ~ sQ72_spl
| sQ132_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f5335,f5327,f615,f364]) ).
fof(f5339,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f5318,f365]) ).
fof(f5340,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ72_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f5318,f535]) ).
fof(f5341,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f5318,f96]) ).
fof(f5342,plain,
( ~ sQ72_spl
| sQ196_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f5339,f1953,f1443,f364]) ).
fof(f5343,plain,
( ~ sQ122_spl
| ~ sQ72_spl
| sQ209_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f5340,f5322,f1659,f364,f534]) ).
fof(f5344,plain,
( ~ sQ72_spl
| sQ129_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f5341,f5327,f580,f364]) ).
fof(f5350,plain,
( ~ sQ65_spl
| ~ sQ110_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f497,f2075]) ).
fof(f5352,plain,
( ~ sQ368_spl
| ~ sQ110_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f497,f4176]) ).
fof(f5353,plain,
( ~ sQ370_spl
| ~ sQ110_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f497,f4330]) ).
fof(f5354,plain,
( ~ sQ367_spl
| ~ sQ110_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f497,f4171]) ).
fof(f5355,plain,
( ~ sQ364_spl
| ~ sQ110_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f497,f4148]) ).
fof(f5356,plain,
( ~ sQ186_spl
| ~ sQ110_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f497,f1335]) ).
fof(f5359,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ110_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f497,f768]) ).
fof(f5360,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ110_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f497,f769]) ).
fof(f5361,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ110_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f497,f2078]) ).
fof(f5362,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ110_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f497,f2079]) ).
fof(f5372,plain,
( ~ sQ65_spl
| ~ sQ110_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f5350,f1659,f496,f342]) ).
fof(f5373,plain,
( ~ sQ367_spl
| ~ sQ110_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5354,f535]) ).
fof(f5374,plain,
( ~ sQ367_spl
| ~ sQ110_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f5373]) ).
fof(f5375,plain,
( ~ sQ384_spl
| ~ sQ81_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f4977,f386,f398,f4661]) ).
fof(f5376,definition,
! [X0] :
( sQ396_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f5377,plain,
! [X0] :
( ~ sQ396_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f5376]) ).
fof(f5379,plain,
( ~ sQ87_spl
| sQ253_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f5286,f5376,f2271,f417]) ).
fof(f5380,plain,
( ~ sQ87_spl
| sQ153_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f5287,f5376,f840,f417]) ).
fof(f5385,plain,
( ~ sQ357_spl
| ~ sQ87_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f5280,f280,f417,f3926]) ).
fof(f5386,plain,
! [X0] :
( ~ sQ396_spl
| ~ product(X0,e_5,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f5377]) ).
fof(f5408,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ47_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1680,f365]) ).
fof(f5411,plain,
( ~ sQ72_spl
| ~ sQ47_spl
| sQ143_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f5408,f4152,f712,f280,f364]) ).
fof(f5414,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ47_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1681,f365]) ).
fof(f5417,plain,
( ~ sQ72_spl
| ~ sQ47_spl
| sQ134_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f5414,f4152,f640,f280,f364]) ).
fof(f5420,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ37_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1198,f365]) ).
fof(f5423,plain,
( ~ sQ72_spl
| ~ sQ37_spl
| sQ146_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f5420,f1860,f759,f241,f364]) ).
fof(f5426,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ37_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1199,f365]) ).
fof(f5429,plain,
( ~ sQ72_spl
| ~ sQ37_spl
| sQ134_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f5426,f1860,f640,f241,f364]) ).
fof(f5436,plain,
( ~ sQ138_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f679,f96]) ).
fof(f5437,plain,
( ~ sQ254_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f2276,f96]) ).
fof(f5441,plain,
( ~ sQ368_spl
| ~ sQ65_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f343,f4176]) ).
fof(f5442,plain,
( ~ sQ370_spl
| ~ sQ65_spl
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f343,f4330]) ).
fof(f5443,plain,
( ~ sQ367_spl
| ~ sQ65_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f343,f4171]) ).
fof(f5444,plain,
( ~ sQ364_spl
| ~ sQ65_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f343,f4148]) ).
fof(f5445,plain,
( ~ sQ186_spl
| ~ sQ65_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f343,f1335]) ).
fof(f5446,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ65_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f343,f2483]) ).
fof(f5447,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ65_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f343,f2484]) ).
fof(f5448,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ65_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f343,f3449]) ).
fof(f5449,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ65_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f343,f3450]) ).
fof(f5450,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f343,f2078]) ).
fof(f5451,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f343,f2079]) ).
fof(f5459,plain,
( ~ sQ370_spl
| ~ sQ65_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f5442,f386,f342,f4329]) ).
fof(f5460,definition,
! [X0] :
( sQ397_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f5461,plain,
! [X0] :
( ~ sQ397_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f5460]) ).
fof(f5463,plain,
( ~ sQ90_spl
| ~ sQ65_spl
| sQ126_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f5446,f5460,f556,f342,f427]) ).
fof(f5464,plain,
( ~ sQ90_spl
| ~ sQ65_spl
| sQ160_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f5447,f5460,f919,f342,f427]) ).
fof(f5465,plain,
( ~ sQ105_spl
| ~ sQ65_spl
| sQ129_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f5448,f3358,f580,f342,f480]) ).
fof(f5466,plain,
( ~ sQ105_spl
| ~ sQ65_spl
| sQ191_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f5449,f3358,f1374,f342,f480]) ).
fof(f5467,plain,
( ~ sQ65_spl
| sQ141_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f5450,f3686,f703,f342]) ).
fof(f5468,plain,
( ~ sQ65_spl
| sQ196_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f5451,f3686,f1443,f342]) ).
fof(f5476,plain,
( ~ sQ359_spl
| ~ sQ31_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f223,f3977]) ).
fof(f5477,plain,
( ~ sQ222_spl
| ~ sQ31_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f223,f1833]) ).
fof(f5478,plain,
( ~ sQ185_spl
| ~ sQ31_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f223,f1329]) ).
fof(f5479,plain,
( ~ sQ167_spl
| ~ sQ31_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f223,f1033]) ).
fof(f5480,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ31_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f223,f2782]) ).
fof(f5481,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ31_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f223,f2783]) ).
fof(f5482,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f223,f4027]) ).
fof(f5483,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f223,f4026]) ).
fof(f5493,plain,
( ~ sQ81_spl
| ~ sQ31_spl
| sQ126_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f5480,f5004,f556,f222,f398]) ).
fof(f5494,plain,
( ~ sQ81_spl
| ~ sQ31_spl
| sQ130_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f5481,f5004,f584,f222,f398]) ).
fof(f5495,definition,
! [X0] :
( sQ398_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f5496,plain,
! [X0] :
( ~ sQ398_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f5495]) ).
fof(f5498,plain,
( ~ sQ31_spl
| sQ153_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f5482,f5495,f840,f222]) ).
fof(f5499,plain,
( ~ sQ31_spl
| sQ141_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f5483,f5495,f703,f222]) ).
fof(f5504,plain,
! [X0] :
( ~ sQ398_spl
| ~ product(X0,e_3,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f5496]) ).
fof(f5506,plain,
( ~ sQ54_spl
| ~ sQ19_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f181,f1527]) ).
fof(f5509,plain,
( ~ sQ374_spl
| ~ sQ19_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f181,f4427]) ).
fof(f5510,plain,
( ~ sQ375_spl
| ~ sQ19_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f181,f4432]) ).
fof(f5512,plain,
( ~ sQ325_spl
| ~ sQ19_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f181,f3295]) ).
fof(f5513,plain,
( ~ sQ321_spl
| ~ sQ19_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f181,f3263]) ).
fof(f5514,plain,
( ~ sQ318_spl
| ~ sQ19_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f181,f3229]) ).
fof(f5515,plain,
( ~ sQ323_spl
| ~ sQ19_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f181,f3273]) ).
fof(f5516,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ19_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f181,f677]) ).
fof(f5517,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ19_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f181,f676]) ).
fof(f5518,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ19_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f181,f1530]) ).
fof(f5519,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ19_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f181,f1529]) ).
fof(f5520,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ19_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f181,f1754]) ).
fof(f5521,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ19_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f181,f1753]) ).
fof(f5522,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ19_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f181,f1359]) ).
fof(f5523,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ19_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f181,f1358]) ).
fof(f5524,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f181,f970]) ).
fof(f5525,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f181,f969]) ).
fof(f5533,plain,
( ~ sQ54_spl
| ~ sQ19_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f5506,f580,f180,f302]) ).
fof(f5534,plain,
( ~ sQ375_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5510,f96]) ).
fof(f5535,plain,
( ~ sQ375_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f5534]) ).
fof(f5536,plain,
( ~ sQ79_spl
| ~ sQ19_spl
| sQ143_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f5520,f1832,f712,f180,f386]) ).
fof(f5537,plain,
( ~ sQ79_spl
| ~ sQ19_spl
| sQ148_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f5521,f1832,f773,f180,f386]) ).
fof(f5538,plain,
( ~ sQ59_spl
| ~ sQ19_spl
| sQ137_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f5522,f1431,f661,f180,f318]) ).
fof(f5539,plain,
( ~ sQ59_spl
| ~ sQ19_spl
| sQ129_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f5523,f1431,f580,f180,f318]) ).
fof(f5540,plain,
( ~ sQ19_spl
| sQ146_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f5524,f1058,f759,f180]) ).
fof(f5541,plain,
( ~ sQ19_spl
| sQ141_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f5525,f1058,f703,f180]) ).
fof(f5544,definition,
! [X0] :
( sQ399_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f5545,plain,
! [X0] :
( ~ sQ399_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f5544]) ).
fof(f5547,plain,
( ~ sQ80_spl
| ~ sQ50_spl
| sQ143_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f4226,f5544,f712,f290,f395]) ).
fof(f5548,plain,
( ~ sQ80_spl
| ~ sQ50_spl
| sQ191_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f4227,f5544,f1374,f290,f395]) ).
fof(f5549,plain,
( ~ sQ5_spl
| ~ sQ277_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f134,f5117]) ).
fof(f5550,plain,
( ~ sQ5_spl
| ~ sQ277_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f5549]) ).
fof(f5551,plain,
( ~ sQ235_spl
| ~ sQ106_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f4585,f505,f483,f2010]) ).
fof(f5552,plain,
( ~ sQ80_spl
| ~ sQ396_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f396,f5386]) ).
fof(f5553,plain,
( ~ sQ80_spl
| ~ sQ396_spl ),
inference(contradiction_clause,[status(thm)],[f5552]) ).
fof(f5554,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sQ137_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f5516,f1046,f661,f180,f145]) ).
fof(f5555,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sQ132_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f5517,f1046,f615,f180,f145]) ).
fof(f5559,plain,
( ~ sQ391_spl
| ~ sQ79_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f387,f5166]) ).
fof(f5560,plain,
( ~ sQ356_spl
| ~ sQ79_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f387,f3904]) ).
fof(f5561,plain,
( ~ sQ295_spl
| ~ sQ79_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f387,f2935]) ).
fof(f5562,plain,
( ~ sQ297_spl
| ~ sQ79_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f387,f2955]) ).
fof(f5564,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f387,f1754]) ).
fof(f5565,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f387,f1753]) ).
fof(f5566,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ79_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f387,f970]) ).
fof(f5567,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ79_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f387,f969]) ).
fof(f5575,definition,
! [X0] :
( sQ400_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition]) ).
fof(f5576,plain,
! [X0] :
( ~ sQ400_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f5575]) ).
fof(f5578,plain,
( ~ sQ79_spl
| sQ196_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f5564,f5575,f1443,f386]) ).
fof(f5579,plain,
( ~ sQ79_spl
| sQ153_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f5565,f5575,f840,f386]) ).
fof(f5580,plain,
( ~ sQ19_spl
| ~ sQ79_spl
| sQ160_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f5566,f1832,f919,f386,f180]) ).
fof(f5581,plain,
( ~ sQ19_spl
| ~ sQ79_spl
| sQ159_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f5567,f1832,f908,f386,f180]) ).
fof(f5584,plain,
! [X0] :
( ~ sQ400_spl
| ~ product(X0,e_1,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f5576]) ).
fof(f5585,plain,
( ~ sQ338_spl
| ~ sQ98_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5122,f318,f452,f3452]) ).
fof(f5586,plain,
( ~ sQ319_spl
| ~ sQ87_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f5277,f231,f417,f3252]) ).
fof(f5588,plain,
( ~ sQ386_spl
| ~ sQ113_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f506,f4804]) ).
fof(f5589,plain,
( ~ sQ347_spl
| ~ sQ113_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f506,f3678]) ).
fof(f5590,plain,
( ~ sQ361_spl
| ~ sQ113_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f506,f4098]) ).
fof(f5592,plain,
( ~ sQ240_spl
| ~ sQ113_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f506,f2083]) ).
fof(f5593,plain,
( ~ sQ242_spl
| ~ sQ113_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f506,f2093]) ).
fof(f5596,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f506,f103]) ).
fof(f5597,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f506,f102]) ).
fof(f5598,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f506,f95]) ).
fof(f5599,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f506,f93]) ).
fof(f5600,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f506,f91]) ).
fof(f5601,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f506,f100]) ).
fof(f5602,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f506,f98]) ).
fof(f5603,plain,
( ~ sQ386_spl
| ~ sQ113_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f5588,f521,f505,f4803]) ).
fof(f5606,definition,
! [X0] :
( sQ401_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition]) ).
fof(f5607,plain,
! [X0] :
( ~ sQ401_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f5606]) ).
fof(f5609,plain,
( ~ sQ113_spl
| sQ209_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f5596,f5606,f1659,f505]) ).
fof(f5610,plain,
( ~ sQ113_spl
| sQ129_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f5597,f5606,f580,f505]) ).
fof(f5611,plain,
( ~ sQ65_spl
| ~ sQ398_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f343,f5504]) ).
fof(f5612,plain,
( ~ sQ65_spl
| ~ sQ398_spl ),
inference(contradiction_clause,[status(thm)],[f5611]) ).
fof(f5615,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ34_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1236,f387]) ).
fof(f5616,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ34_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1236,f181]) ).
fof(f5618,definition,
! [X0] :
( sQ402_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition]) ).
fof(f5619,plain,
! [X0] :
( ~ sQ402_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f5618]) ).
fof(f5621,plain,
( ~ sQ79_spl
| ~ sQ34_spl
| sQ159_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f5615,f5618,f908,f231,f386]) ).
fof(f5622,plain,
( ~ sQ19_spl
| ~ sQ34_spl
| sQ141_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f5616,f1328,f703,f231,f180]) ).
fof(f5624,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ34_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1237,f387]) ).
fof(f5627,plain,
( ~ sQ79_spl
| ~ sQ34_spl
| sQ134_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f5624,f5618,f640,f231,f386]) ).
fof(f5635,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ9_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f676,f387]) ).
fof(f5638,plain,
( ~ sQ79_spl
| ~ sQ9_spl
| sQ133_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f5635,f1801,f619,f145,f386]) ).
fof(f5641,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ9_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f677,f387]) ).
fof(f5644,plain,
( ~ sQ79_spl
| ~ sQ9_spl
| sQ136_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f5641,f1801,f654,f145,f386]) ).
fof(f5648,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f5601,f506]) ).
fof(f5649,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f5601,f96]) ).
fof(f5650,plain,
( ~ sQ113_spl
| sQ141_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f5648,f3286,f703,f505]) ).
fof(f5651,plain,
( ~ sQ113_spl
| sQ136_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f5649,f5606,f654,f505]) ).
fof(f5652,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f5602,f506]) ).
fof(f5653,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f5602,f96]) ).
fof(f5654,plain,
( ~ sQ113_spl
| sQ253_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f5652,f3286,f2271,f505]) ).
fof(f5655,plain,
( ~ sQ113_spl
| sQ191_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f5653,f5606,f1374,f505]) ).
fof(f5656,plain,
( ~ sQ401_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f5607,f96]) ).
fof(f5657,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ98_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2201,f506]) ).
fof(f5659,plain,
( ~ sQ113_spl
| ~ sQ98_spl
| sQ187_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f5657,f3252,f1341,f452,f505]) ).
fof(f5661,plain,
( ~ sQ48_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f1605,f584,f283]) ).
fof(f5662,definition,
! [X0] :
( sQ403_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition]) ).
fof(f5663,plain,
! [X0] :
( ~ sQ403_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f5662]) ).
fof(f5665,plain,
( ~ sQ48_spl
| sQ130_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f1606,f5662,f584,f283]) ).
fof(f5666,plain,
( ~ sQ48_spl
| sQ196_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f1607,f5662,f1443,f283]) ).
fof(f5667,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ98_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2200,f506]) ).
fof(f5669,plain,
( ~ sQ113_spl
| ~ sQ98_spl
| sQ126_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f5667,f3252,f556,f452,f505]) ).
fof(f5671,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1172,f506]) ).
fof(f5673,plain,
( ~ sQ113_spl
| ~ sQ38_spl
| sQ132_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f5671,f3186,f615,f244,f505]) ).
fof(f5675,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1173,f506]) ).
fof(f5677,plain,
( ~ sQ113_spl
| ~ sQ38_spl
| sQ184_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f5675,f3186,f1293,f244,f505]) ).
fof(f5679,plain,
( ~ sQ177_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1186,f96]) ).
fof(f5686,plain,
( ~ sQ218_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f1777,f96]) ).
fof(f5693,plain,
( ~ sQ392_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f5171,f96]) ).
fof(f5700,definition,
! [X0] :
( sQ404_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition]) ).
fof(f5701,plain,
! [X0] :
( ~ sQ404_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f5700]) ).
fof(f5705,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ118_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3061,f506]) ).
fof(f5707,plain,
( ~ sQ113_spl
| ~ sQ118_spl
| sQ253_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f5705,f5700,f2271,f521,f505]) ).
fof(f5710,plain,
( ~ sQ403_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f5663,f96]) ).
fof(f5735,plain,
( ~ sQ19_spl
| ~ sQ312_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f3182,f181]) ).
fof(f5736,plain,
( ~ sQ113_spl
| ~ sQ385_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f4797,f506]) ).
fof(f5737,plain,
( ~ sQ79_spl
| ~ sQ391_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f5166,f387]) ).
fof(f5738,plain,
( ~ sQ113_spl
| ~ sQ236_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f2016,f506]) ).
fof(f5739,plain,
( ~ sQ19_spl
| ~ sQ34_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1233,f181]) ).
fof(f5740,plain,
( ~ sQ19_spl
| ~ sQ34_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f5739,f647,f231,f180]) ).
fof(f5741,plain,
( ~ sQ32_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1271,f908,f225]) ).
fof(f5742,definition,
! [X0] :
( sQ405_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).
fof(f5743,plain,
! [X0] :
( ~ sQ405_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f5742]) ).
fof(f5745,plain,
( ~ sQ32_spl
| sQ159_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f1272,f5742,f908,f225]) ).
fof(f5746,plain,
( ~ sQ32_spl
| sQ141_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f1273,f5742,f703,f225]) ).
fof(f5747,plain,
( ~ sQ31_spl
| ~ sQ208_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f1684]) ).
fof(f5748,plain,
( ~ sQ31_spl
| ~ sQ208_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f5747]) ).
fof(f5752,plain,
( ~ sQ213_spl
| ~ sQ105_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f481,f1730]) ).
fof(f5753,plain,
( ~ sQ388_spl
| ~ sQ105_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f481,f4911]) ).
fof(f5754,plain,
( ~ sQ376_spl
| ~ sQ105_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f481,f4455]) ).
fof(f5755,plain,
( ~ sQ365_spl
| ~ sQ105_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f481,f4153]) ).
fof(f5756,plain,
( ~ sQ358_spl
| ~ sQ105_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f481,f3938]) ).
fof(f5757,plain,
( ~ sQ255_spl
| ~ sQ105_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f481,f2284]) ).
fof(f5758,plain,
( ~ sQ211_spl
| ~ sQ105_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f481,f1717]) ).
fof(f5761,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ105_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f481,f2078]) ).
fof(f5762,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ105_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f481,f2079]) ).
fof(f5770,plain,
( ~ sQ358_spl
| ~ sQ105_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5756,f535]) ).
fof(f5771,plain,
( ~ sQ358_spl
| ~ sQ105_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f5770]) ).
fof(f5772,plain,
( ~ sQ405_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f5743,f96]) ).
fof(f5789,plain,
( ~ sQ72_spl
| ~ sQ219_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f1802,f365]) ).
fof(f5790,plain,
( ~ sQ19_spl
| ~ sQ313_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f3187,f181]) ).
fof(f5791,plain,
( ~ sQ19_spl
| ~ sQ404_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f5701,f181]) ).
fof(f5820,plain,
( ~ sQ113_spl
| ~ sQ118_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f3058,f506]) ).
fof(f5821,plain,
( ~ sQ113_spl
| ~ sQ118_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f5820,f615,f521,f505]) ).
fof(f5826,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ93_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2409,f506]) ).
fof(f5828,plain,
( ~ sQ113_spl
| ~ sQ93_spl
| sQ126_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f5826,f3267,f556,f436,f505]) ).
fof(f5830,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ93_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2410,f506]) ).
fof(f5832,plain,
( ~ sQ113_spl
| ~ sQ93_spl
| sQ183_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f5830,f3267,f1286,f436,f505]) ).
fof(f5837,plain,
( ~ sQ393_spl
| ~ sQ9_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f146,f5248]) ).
fof(f5838,plain,
( ~ sQ301_spl
| ~ sQ9_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f146,f3073]) ).
fof(f5839,plain,
( ~ sQ308_spl
| ~ sQ9_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f146,f3144]) ).
fof(f5841,plain,
( ~ sQ305_spl
| ~ sQ9_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f146,f3110]) ).
fof(f5842,plain,
( ~ sQ310_spl
| ~ sQ9_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f3154]) ).
fof(f5843,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ9_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f146,f1753]) ).
fof(f5844,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ9_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f146,f1754]) ).
fof(f5845,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f146,f677]) ).
fof(f5846,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f146,f676]) ).
fof(f5856,plain,
( ~ sQ393_spl
| ~ sQ9_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f5837,f152,f145,f5247]) ).
fof(f5857,plain,
( ~ sQ79_spl
| ~ sQ9_spl
| sQ135_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f5843,f1801,f647,f145,f386]) ).
fof(f5858,plain,
( ~ sQ79_spl
| ~ sQ9_spl
| sQ129_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f5844,f1801,f580,f145,f386]) ).
fof(f5859,plain,
( ~ sQ9_spl
| sQ141_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f5845,f899,f703,f145]) ).
fof(f5860,plain,
( ~ sQ9_spl
| sQ146_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f5846,f899,f759,f145]) ).
fof(f5865,plain,
( ~ sQ202_spl
| ~ sQ52_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f297,f1517]) ).
fof(f5866,plain,
( ~ sQ188_spl
| ~ sQ52_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f297,f1361]) ).
fof(f5867,plain,
( ~ sQ350_spl
| ~ sQ52_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f297,f3804]) ).
fof(f5868,plain,
( ~ sQ362_spl
| ~ sQ52_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f297,f4107]) ).
fof(f5869,plain,
( ~ sQ241_spl
| ~ sQ52_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f297,f2088]) ).
fof(f5871,plain,
( ~ sQ311_spl
| ~ sQ52_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f297,f3177]) ).
fof(f5872,plain,
( ~ sQ232_spl
| ~ sQ52_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f297,f1938]) ).
fof(f5874,plain,
( ~ sQ197_spl
| ~ sQ52_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f297,f1462]) ).
fof(f5875,plain,
( ~ sQ199_spl
| ~ sQ52_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f297,f1483]) ).
fof(f5876,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ52_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f297,f5318]) ).
fof(f5877,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ52_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f297,f5317]) ).
fof(f5878,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ52_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f297,f4643]) ).
fof(f5879,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ52_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f297,f4642]) ).
fof(f5880,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f297,f103]) ).
fof(f5881,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f297,f102]) ).
fof(f5882,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f297,f95]) ).
fof(f5883,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f297,f93]) ).
fof(f5884,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f297,f91]) ).
fof(f5885,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f297,f100]) ).
fof(f5886,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f297,f98]) ).
fof(f5887,plain,
( ~ sQ311_spl
| ~ sQ52_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f5871,f180,f296,f3176]) ).
fof(f5888,plain,
( ~ sQ199_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5875,f96]) ).
fof(f5889,plain,
( ~ sQ199_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f5888]) ).
fof(f5890,plain,
( ~ sQ72_spl
| ~ sQ52_spl
| sQ143_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f5876,f5058,f712,f296,f364]) ).
fof(f5891,plain,
( ~ sQ72_spl
| ~ sQ52_spl
| sQ160_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f5877,f5058,f919,f296,f364]) ).
fof(f5892,definition,
! [X0] :
( sQ406_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ406_spl])],[split_symbol_definition]) ).
fof(f5893,plain,
! [X0] :
( ~ sQ406_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f5892]) ).
fof(f5895,plain,
( ~ sQ122_spl
| ~ sQ52_spl
| sQ139_spl
| sQ406_spl ),
inference(split_clause,[status(thm)],[f5878,f5892,f682,f296,f534]) ).
fof(f5896,plain,
( ~ sQ122_spl
| ~ sQ52_spl
| sQ134_spl
| sQ406_spl ),
inference(split_clause,[status(thm)],[f5879,f5892,f640,f296,f534]) ).
fof(f5897,definition,
! [X0] :
( sQ407_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition]) ).
fof(f5898,plain,
! [X0] :
( ~ sQ407_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f5897]) ).
fof(f5900,plain,
( ~ sQ52_spl
| sQ137_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f5880,f5897,f661,f296]) ).
fof(f5901,plain,
( ~ sQ52_spl
| sQ136_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f5881,f5897,f654,f296]) ).
fof(f5906,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f5885,f297]) ).
fof(f5907,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ52_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f5885,f535]) ).
fof(f5908,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f5885,f96]) ).
fof(f5910,plain,
( ~ sQ52_spl
| sQ196_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f5906,f4249,f1443,f296]) ).
fof(f5911,plain,
( ~ sQ122_spl
| ~ sQ52_spl
| sQ130_spl
| sQ406_spl ),
inference(split_clause,[status(thm)],[f5907,f5892,f584,f296,f534]) ).
fof(f5912,plain,
( ~ sQ52_spl
| sQ129_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f5908,f5897,f580,f296]) ).
fof(f5914,plain,
( ~ sQ80_spl
| ~ sQ65_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f343,f2800]) ).
fof(f5917,plain,
( ~ sQ367_spl
| ~ sQ65_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f343,f4171]) ).
fof(f5918,plain,
( ~ sQ402_spl
| ~ sQ65_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f343,f5619]) ).
fof(f5919,plain,
( ~ sQ368_spl
| ~ sQ65_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f343,f4176]) ).
fof(f5920,plain,
( ~ sQ364_spl
| ~ sQ65_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f343,f4148]) ).
fof(f5921,plain,
( ~ sQ186_spl
| ~ sQ65_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f343,f1335]) ).
fof(f5922,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ65_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f343,f3131]) ).
fof(f5923,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ65_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f343,f3130]) ).
fof(f5924,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ65_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f343,f2802]) ).
fof(f5925,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ65_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f343,f2803]) ).
fof(f5928,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ65_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f343,f2347]) ).
fof(f5929,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ65_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f343,f2348]) ).
fof(f5939,plain,
( ~ sQ80_spl
| ~ sQ65_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f5914,f556,f342,f395]) ).
fof(f5940,plain,
( ~ sQ115_spl
| ~ sQ65_spl
| sQ191_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f5922,f4097,f1374,f342,f512]) ).
fof(f5941,plain,
( ~ sQ115_spl
| ~ sQ65_spl
| sQ132_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f5923,f4097,f615,f342,f512]) ).
fof(f5942,definition,
! [X0] :
( sQ408_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition]) ).
fof(f5943,plain,
! [X0] :
( ~ sQ408_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f5942]) ).
fof(f5945,plain,
( ~ sQ80_spl
| ~ sQ65_spl
| sQ126_spl
| sQ408_spl ),
inference(split_clause,[status(thm)],[f5924,f5942,f556,f342,f395]) ).
fof(f5946,plain,
( ~ sQ80_spl
| ~ sQ65_spl
| sQ196_spl
| sQ408_spl ),
inference(split_clause,[status(thm)],[f5925,f5942,f1443,f342,f395]) ).
fof(f5949,definition,
! [X0] :
( sQ409_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition]) ).
fof(f5950,plain,
! [X0] :
( ~ sQ409_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f5949]) ).
fof(f5952,plain,
( ~ sQ95_spl
| ~ sQ65_spl
| sQ126_spl
| sQ409_spl ),
inference(split_clause,[status(thm)],[f5928,f5949,f556,f342,f443]) ).
fof(f5953,plain,
( ~ sQ95_spl
| ~ sQ65_spl
| sQ136_spl
| sQ409_spl ),
inference(split_clause,[status(thm)],[f5929,f5949,f654,f342,f443]) ).
fof(f5961,plain,
( ~ sQ394_spl
| ~ sQ38_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f245,f5323]) ).
fof(f5962,plain,
( ~ sQ366_spl
| ~ sQ38_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f245,f4158]) ).
fof(f5963,plain,
( ~ sQ225_spl
| ~ sQ38_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f245,f1861]) ).
fof(f5964,plain,
( ~ sQ227_spl
| ~ sQ38_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f245,f1883]) ).
fof(f5965,plain,
( ~ sQ230_spl
| ~ sQ38_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f245,f1915]) ).
fof(f5966,plain,
( ~ sQ231_spl
| ~ sQ38_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f245,f1931]) ).
fof(f5967,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f245,f1173]) ).
fof(f5968,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f245,f1172]) ).
fof(f5969,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f245,f5602]) ).
fof(f5970,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f245,f5601]) ).
fof(f5980,plain,
( ~ sQ231_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5966,f96]) ).
fof(f5981,plain,
( ~ sQ231_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f5980]) ).
fof(f5982,definition,
! [X0] :
( sQ410_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).
fof(f5983,plain,
! [X0] :
( ~ sQ410_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f5982]) ).
fof(f5985,plain,
( ~ sQ38_spl
| sQ153_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f5967,f5982,f840,f244]) ).
fof(f5986,plain,
( ~ sQ38_spl
| sQ146_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f5968,f5982,f759,f244]) ).
fof(f5987,plain,
( ~ sQ113_spl
| ~ sQ38_spl
| sQ127_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f5969,f3186,f560,f244,f505]) ).
fof(f5988,plain,
( ~ sQ113_spl
| ~ sQ38_spl
| sQ137_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f5970,f3186,f661,f244,f505]) ).
fof(f5993,plain,
! [X0] :
( ~ sQ410_spl
| ~ product(X0,e_2,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f5983]) ).
fof(f5995,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f5886,f297]) ).
fof(f5996,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ52_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f5886,f535]) ).
fof(f5997,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f5886,f96]) ).
fof(f5999,plain,
( ~ sQ52_spl
| sQ146_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f5995,f4249,f759,f296]) ).
fof(f6000,plain,
( ~ sQ122_spl
| ~ sQ52_spl
| sQ183_spl
| sQ406_spl ),
inference(split_clause,[status(thm)],[f5996,f5892,f1286,f296,f534]) ).
fof(f6001,plain,
( ~ sQ52_spl
| sQ132_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f5997,f5897,f615,f296]) ).
fof(f6002,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ98_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2201,f245]) ).
fof(f6004,definition,
! [X0] :
( sQ411_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).
fof(f6005,plain,
! [X0] :
( ~ sQ411_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f6004]) ).
fof(f6007,plain,
( ~ sQ38_spl
| ~ sQ98_spl
| sQ159_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f6002,f6004,f908,f452,f244]) ).
fof(f6009,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ98_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2200,f245]) ).
fof(f6011,plain,
( ~ sQ38_spl
| ~ sQ98_spl
| sQ139_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f6009,f6004,f682,f452,f244]) ).
fof(f6034,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ49_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1594,f146]) ).
fof(f6037,definition,
! [X0] :
( sQ412_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition]) ).
fof(f6038,plain,
! [X0] :
( ~ sQ412_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f6037]) ).
fof(f6040,plain,
( ~ sQ9_spl
| ~ sQ49_spl
| sQ143_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f6034,f6037,f712,f286,f145]) ).
fof(f6043,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ49_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1595,f146]) ).
fof(f6046,plain,
( ~ sQ9_spl
| ~ sQ49_spl
| sQ148_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f6043,f6037,f773,f286,f145]) ).
fof(f6099,plain,
( ~ sQ162_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f972,f96]) ).
fof(f6100,plain,
( ~ sQ151_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f817,f96]) ).
fof(f6103,plain,
( ~ sQ412_spl
| ~ sQ55_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f307,f6038]) ).
fof(f6104,plain,
( ~ sQ214_spl
| ~ sQ55_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f307,f1757]) ).
fof(f6107,plain,
( ~ sQ376_spl
| ~ sQ55_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f307,f4455]) ).
fof(f6109,plain,
( ~ sQ255_spl
| ~ sQ55_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f307,f2284]) ).
fof(f6110,plain,
( ~ sQ211_spl
| ~ sQ55_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f307,f1717]) ).
fof(f6113,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ55_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f307,f2483]) ).
fof(f6114,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ55_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f307,f2484]) ).
fof(f6115,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ55_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f307,f3131]) ).
fof(f6116,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ55_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f307,f3130]) ).
fof(f6117,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f307,f1507]) ).
fof(f6118,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f307,f1508]) ).
fof(f6126,plain,
( ~ sQ376_spl
| ~ sQ55_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f6107,f152,f306,f4454]) ).
fof(f6127,plain,
( ~ sQ255_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6109,f96]) ).
fof(f6128,plain,
( ~ sQ255_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f6127]) ).
fof(f6131,plain,
( ~ sQ90_spl
| ~ sQ55_spl
| sQ191_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f6113,f2823,f1374,f306,f427]) ).
fof(f6132,plain,
( ~ sQ90_spl
| ~ sQ55_spl
| sQ132_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f6114,f2823,f615,f306,f427]) ).
fof(f6133,plain,
( ~ sQ115_spl
| ~ sQ55_spl
| sQ126_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f6115,f4106,f556,f306,f512]) ).
fof(f6134,plain,
( ~ sQ115_spl
| ~ sQ55_spl
| sQ160_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f6116,f4106,f919,f306,f512]) ).
fof(f6135,plain,
( ~ sQ55_spl
| sQ196_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f6117,f1492,f1443,f306]) ).
fof(f6136,plain,
( ~ sQ55_spl
| sQ141_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f6118,f1492,f703,f306]) ).
fof(f6139,plain,
( ~ sQ115_spl
| ~ sQ410_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f513,f5993]) ).
fof(f6140,plain,
( ~ sQ115_spl
| ~ sQ410_spl ),
inference(contradiction_clause,[status(thm)],[f6139]) ).
fof(f6141,plain,
( ~ sQ177_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1186,f96]) ).
fof(f6151,plain,
( ~ sQ38_spl
| ~ sQ225_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f1861,f245]) ).
fof(f6152,plain,
( ~ sQ72_spl
| ~ sQ175_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1176,f365]) ).
fof(f6156,plain,
( ~ sQ338_spl
| ~ sQ98_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f453,f3453]) ).
fof(f6157,plain,
( ~ sQ408_spl
| ~ sQ98_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f453,f5943]) ).
fof(f6159,plain,
( ~ sQ389_spl
| ~ sQ98_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f453,f5005]) ).
fof(f6160,plain,
( ~ sQ399_spl
| ~ sQ98_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f453,f5545]) ).
fof(f6162,plain,
( ~ sQ279_spl
| ~ sQ98_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f453,f2808]) ).
fof(f6163,plain,
( ~ sQ326_spl
| ~ sQ98_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f453,f3318]) ).
fof(f6164,plain,
( ~ sQ290_spl
| ~ sQ98_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f453,f2873]) ).
fof(f6165,plain,
( ~ sQ275_spl
| ~ sQ98_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f453,f2724]) ).
fof(f6166,plain,
( ~ sQ278_spl
| ~ sQ98_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f453,f2740]) ).
fof(f6167,plain,
( ~ sQ280_spl
| ~ sQ98_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f453,f2813]) ).
fof(f6168,plain,
( ~ sQ291_spl
| ~ sQ98_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f453,f2878]) ).
fof(f6169,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ98_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f453,f1172]) ).
fof(f6170,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ98_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f453,f1173]) ).
fof(f6184,plain,
( ~ sQ38_spl
| ~ sQ98_spl
| sQ183_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f6169,f6004,f1286,f452,f244]) ).
fof(f6185,plain,
( ~ sQ38_spl
| ~ sQ98_spl
| sQ148_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f6170,f6004,f773,f452,f244]) ).
fof(f6197,plain,
( ~ sQ309_spl
| ~ sQ81_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f399,f3149]) ).
fof(f6199,plain,
( ~ sQ397_spl
| ~ sQ81_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f399,f5461]) ).
fof(f6200,plain,
( ~ sQ382_spl
| ~ sQ81_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f399,f4620]) ).
fof(f6202,plain,
( ~ sQ352_spl
| ~ sQ81_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f399,f3853]) ).
fof(f6203,plain,
( ~ sQ332_spl
| ~ sQ81_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f399,f3397]) ).
fof(f6204,plain,
( ~ sQ281_spl
| ~ sQ81_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f399,f2819]) ).
fof(f6206,plain,
( ~ sQ262_spl
| ~ sQ81_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f399,f2470]) ).
fof(f6207,plain,
( ~ sQ265_spl
| ~ sQ81_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f399,f2496]) ).
fof(f6237,plain,
( ~ sQ317_spl
| ~ sQ90_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f428,f3223]) ).
fof(f6238,plain,
( ~ sQ353_spl
| ~ sQ90_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f428,f3878]) ).
fof(f6239,plain,
( ~ sQ274_spl
| ~ sQ90_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f428,f2653]) ).
fof(f6240,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ90_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f428,f2078]) ).
fof(f6241,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ90_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f428,f2079]) ).
fof(f6246,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ90_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f428,f1507]) ).
fof(f6247,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ90_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f428,f1508]) ).
fof(f6255,plain,
( ~ sQ317_spl
| ~ sQ90_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f6237,f180,f427,f3222]) ).
fof(f6256,plain,
( ~ sQ65_spl
| ~ sQ90_spl
| sQ187_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f6240,f5460,f1341,f427,f342]) ).
fof(f6257,plain,
( ~ sQ65_spl
| ~ sQ90_spl
| sQ143_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f6241,f5460,f712,f427,f342]) ).
fof(f6262,plain,
( ~ sQ55_spl
| ~ sQ90_spl
| sQ209_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f6246,f2823,f1659,f427,f306]) ).
fof(f6263,plain,
( ~ sQ55_spl
| ~ sQ90_spl
| sQ137_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f6247,f2823,f661,f427,f306]) ).
fof(f6269,plain,
( ~ sQ406_spl
| ~ sQ106_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f484,f5893]) ).
fof(f6270,plain,
( ~ sQ407_spl
| ~ sQ106_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f484,f5898]) ).
fof(f6271,plain,
( ~ sQ215_spl
| ~ sQ106_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f484,f1762]) ).
fof(f6272,plain,
( ~ sQ390_spl
| ~ sQ106_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f484,f5059]) ).
fof(f6274,plain,
( ~ sQ320_spl
| ~ sQ106_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f484,f3258]) ).
fof(f6275,plain,
( ~ sQ307_spl
| ~ sQ106_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f484,f3139]) ).
fof(f6276,plain,
( ~ sQ205_spl
| ~ sQ106_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f484,f1573]) ).
fof(f6277,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ106_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f484,f4027]) ).
fof(f6278,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ106_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f484,f4026]) ).
fof(f6292,definition,
! [X0] :
( sQ413_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition]) ).
fof(f6293,plain,
! [X0] :
( ~ sQ413_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f6292]) ).
fof(f6295,plain,
( ~ sQ31_spl
| ~ sQ106_spl
| sQ184_spl
| sQ413_spl ),
inference(split_clause,[status(thm)],[f6277,f6292,f1293,f483,f222]) ).
fof(f6296,plain,
( ~ sQ31_spl
| ~ sQ106_spl
| sQ136_spl
| sQ413_spl ),
inference(split_clause,[status(thm)],[f6278,f6292,f654,f483,f222]) ).
fof(f6307,plain,
( ~ sQ413_spl
| ~ sQ49_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f287,f6293]) ).
fof(f6309,plain,
( ~ sQ379_spl
| ~ sQ49_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f287,f4602]) ).
fof(f6310,plain,
( ~ sQ380_spl
| ~ sQ49_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f287,f4607]) ).
fof(f6311,plain,
( ~ sQ381_spl
| ~ sQ49_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f287,f4612]) ).
fof(f6312,plain,
( ~ sQ327_spl
| ~ sQ49_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f287,f3344]) ).
fof(f6313,plain,
( ~ sQ335_spl
| ~ sQ49_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f287,f3412]) ).
fof(f6314,plain,
( ~ sQ330_spl
| ~ sQ49_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f287,f3359]) ).
fof(f6315,plain,
( ~ sQ328_spl
| ~ sQ49_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f287,f3349]) ).
fof(f6316,plain,
( ~ sQ336_spl
| ~ sQ49_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f287,f3417]) ).
fof(f6317,plain,
( ~ sQ339_spl
| ~ sQ49_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f287,f3458]) ).
fof(f6318,plain,
( ~ sQ344_spl
| ~ sQ49_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f287,f3497]) ).
fof(f6319,plain,
( ~ sQ337_spl
| ~ sQ49_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f287,f3423]) ).
fof(f6320,plain,
( ~ sQ342_spl
| ~ sQ49_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f287,f3473]) ).
fof(f6321,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ49_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f287,f970]) ).
fof(f6322,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ49_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f287,f969]) ).
fof(f6323,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f287,f1595]) ).
fof(f6324,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f287,f1594]) ).
fof(f6327,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ49_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f287,f677]) ).
fof(f6328,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ49_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f287,f676]) ).
fof(f6336,plain,
( ~ sQ339_spl
| ~ sQ49_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f6317,f222,f286,f3457]) ).
fof(f6337,plain,
( ~ sQ342_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6320,f96]) ).
fof(f6338,plain,
( ~ sQ342_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f6337]) ).
fof(f6339,plain,
( ~ sQ19_spl
| ~ sQ49_spl
| sQ133_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f6321,f1710,f619,f286,f180]) ).
fof(f6340,plain,
( ~ sQ19_spl
| ~ sQ49_spl
| sQ136_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f6322,f1710,f654,f286,f180]) ).
fof(f6341,definition,
! [X0] :
( sQ414_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition]) ).
fof(f6342,plain,
! [X0] :
( ~ sQ414_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f6341]) ).
fof(f6344,plain,
( ~ sQ49_spl
| sQ153_spl
| sQ414_spl ),
inference(split_clause,[status(thm)],[f6323,f6341,f840,f286]) ).
fof(f6345,plain,
( ~ sQ49_spl
| sQ196_spl
| sQ414_spl ),
inference(split_clause,[status(thm)],[f6324,f6341,f1443,f286]) ).
fof(f6348,plain,
( ~ sQ9_spl
| ~ sQ49_spl
| sQ159_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f6327,f6037,f908,f286,f145]) ).
fof(f6349,plain,
( ~ sQ9_spl
| ~ sQ49_spl
| sQ160_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f6328,f6037,f919,f286,f145]) ).
fof(f6352,plain,
! [X0] :
( ~ sQ414_spl
| ~ product(X0,e_4,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f6342]) ).
fof(f6353,plain,
( ~ sQ55_spl
| ~ sQ414_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f307,f6352]) ).
fof(f6354,plain,
( ~ sQ55_spl
| ~ sQ414_spl ),
inference(contradiction_clause,[status(thm)],[f6353]) ).
fof(f6356,plain,
( ~ sQ403_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f5663,f96]) ).
fof(f6357,plain,
( ~ sQ81_spl
| ~ sQ382_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f4620,f399]) ).
fof(f6358,plain,
( ~ sQ49_spl
| ~ sQ379_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f4602,f287]) ).
fof(f6359,plain,
( ~ sQ52_spl
| ~ sQ212_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1725,f297]) ).
fof(f6379,plain,
( ~ sQ216_spl
| ~ sQ28_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f210,f1767]) ).
fof(f6380,plain,
( ~ sQ220_spl
| ~ sQ28_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f210,f1807]) ).
fof(f6381,plain,
( ~ sQ223_spl
| ~ sQ28_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f210,f1839]) ).
fof(f6382,plain,
! [X0] :
( ~ sQ28_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f210,f63]) ).
fof(f6411,plain,
( ~ sQ367_spl
| ~ sQ65_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f343,f4171]) ).
fof(f6412,plain,
( ~ sQ368_spl
| ~ sQ65_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f343,f4176]) ).
fof(f6413,plain,
( ~ sQ402_spl
| ~ sQ65_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f343,f5619]) ).
fof(f6414,plain,
( ~ sQ364_spl
| ~ sQ65_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f343,f4148]) ).
fof(f6415,plain,
( ~ sQ186_spl
| ~ sQ65_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f343,f1335]) ).
fof(f6444,plain,
( ~ sQ313_spl
| ~ sQ19_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f181,f3187]) ).
fof(f6445,plain,
( ~ sQ312_spl
| ~ sQ19_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f181,f3182]) ).
fof(f6446,plain,
( ~ sQ404_spl
| ~ sQ19_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f181,f5701]) ).
fof(f6448,plain,
( ~ sQ314_spl
| ~ sQ19_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f181,f3192]) ).
fof(f6449,plain,
( ~ sQ325_spl
| ~ sQ19_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f181,f3295]) ).
fof(f6450,plain,
( ~ sQ321_spl
| ~ sQ19_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f181,f3263]) ).
fof(f6451,plain,
( ~ sQ318_spl
| ~ sQ19_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f181,f3229]) ).
fof(f6452,plain,
( ~ sQ323_spl
| ~ sQ19_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f181,f3273]) ).
fof(f6453,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ19_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f181,f1594]) ).
fof(f6454,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ19_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f181,f1595]) ).
fof(f6468,plain,
( ~ sQ49_spl
| ~ sQ19_spl
| sQ129_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f6453,f1710,f580,f180,f286]) ).
fof(f6469,plain,
( ~ sQ49_spl
| ~ sQ19_spl
| sQ135_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f6454,f1710,f647,f180,f286]) ).
fof(f6483,plain,
( ~ sQ347_spl
| ~ sQ113_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f506,f3678]) ).
fof(f6484,plain,
( ~ sQ361_spl
| ~ sQ113_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f506,f4098]) ).
fof(f6486,plain,
( ~ sQ242_spl
| ~ sQ113_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f506,f2093]) ).
fof(f6515,plain,
( ~ sQ168_spl
| ~ sQ31_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f223,f1047]) ).
fof(f6516,plain,
( ~ sQ222_spl
| ~ sQ31_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f223,f1833]) ).
fof(f6517,plain,
( ~ sQ185_spl
| ~ sQ31_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f223,f1329]) ).
fof(f6518,plain,
( ~ sQ163_spl
| ~ sQ31_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f223,f989]) ).
fof(f6519,plain,
( ~ sQ300_spl
| ~ sQ31_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f223,f3068]) ).
fof(f6520,plain,
( ~ sQ359_spl
| ~ sQ31_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f223,f3977]) ).
fof(f6521,plain,
( ~ sQ167_spl
| ~ sQ31_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f223,f1033]) ).
fof(f6524,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ31_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f223,f4599]) ).
fof(f6525,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ31_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f223,f4598]) ).
fof(f6539,plain,
( ~ sQ106_spl
| ~ sQ31_spl
| sQ127_spl
| sQ413_spl ),
inference(split_clause,[status(thm)],[f6524,f6292,f560,f222,f483]) ).
fof(f6540,plain,
( ~ sQ106_spl
| ~ sQ31_spl
| sQ129_spl
| sQ413_spl ),
inference(split_clause,[status(thm)],[f6525,f6292,f580,f222,f483]) ).
fof(f6547,plain,
( ~ sQ31_spl
| ~ sQ86_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f415,f4024]) ).
fof(f6548,plain,
( ~ sQ382_spl
| ~ sQ86_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f415,f4620]) ).
fof(f6549,plain,
( ~ sQ81_spl
| ~ sQ86_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f415,f2779]) ).
fof(f6550,plain,
( ~ sQ309_spl
| ~ sQ86_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f415,f3149]) ).
fof(f6551,plain,
( ~ sQ272_spl
| ~ sQ86_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f415,f2642]) ).
fof(f6552,plain,
( ~ sQ397_spl
| ~ sQ86_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f415,f5461]) ).
fof(f6553,plain,
( ~ sQ263_spl
| ~ sQ86_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f415,f2486]) ).
fof(f6554,plain,
( ~ sQ352_spl
| ~ sQ86_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f415,f3853]) ).
fof(f6555,plain,
( ~ sQ332_spl
| ~ sQ86_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f415,f3397]) ).
fof(f6556,plain,
( ~ sQ281_spl
| ~ sQ86_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f415,f2819]) ).
fof(f6557,plain,
( ~ sQ282_spl
| ~ sQ86_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f415,f2824]) ).
fof(f6558,plain,
( ~ sQ262_spl
| ~ sQ86_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f415,f2470]) ).
fof(f6559,plain,
( ~ sQ265_spl
| ~ sQ86_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f415,f2496]) ).
fof(f6560,plain,
( ~ sQ258_spl
| ~ sQ86_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f415,f2419]) ).
fof(f6561,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ86_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f415,f4027]) ).
fof(f6562,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ86_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f415,f4026]) ).
fof(f6563,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ86_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f415,f4599]) ).
fof(f6564,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ86_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f415,f4598]) ).
fof(f6565,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ86_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f415,f2782]) ).
fof(f6566,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ86_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f415,f2783]) ).
fof(f6567,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ86_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f415,f610]) ).
fof(f6568,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ86_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f415,f611]) ).
fof(f6569,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f415,f103]) ).
fof(f6570,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f415,f102]) ).
fof(f6571,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f415,f95]) ).
fof(f6572,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f415,f93]) ).
fof(f6573,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f415,f91]) ).
fof(f6574,plain,
! [X0,X1,X2] :
( ~ sQ86_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f415,f100]) ).
fof(f6575,plain,
! [X0,X1,X2] :
( ~ sQ86_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f415,f98]) ).
fof(f6576,plain,
( ~ sQ31_spl
| ~ sQ86_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f6547,f1341,f414,f222]) ).
fof(f6577,plain,
( ~ sQ81_spl
| ~ sQ86_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f6549,f584,f414,f398]) ).
fof(f6578,plain,
( ~ sQ332_spl
| ~ sQ86_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f6555,f286,f414,f3396]) ).
fof(f6579,plain,
( ~ sQ281_spl
| ~ sQ86_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f6556,f244,f414,f2818]) ).
fof(f6580,plain,
( ~ sQ265_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6559,f96]) ).
fof(f6581,plain,
( ~ sQ265_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f6580]) ).
fof(f6582,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ87_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f5296,f365]) ).
fof(f6583,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ87_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f5296,f297]) ).
fof(f6586,definition,
! [X0] :
( sQ415_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ415_spl])],[split_symbol_definition]) ).
fof(f6587,plain,
! [X0] :
( ~ sQ415_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f6586]) ).
fof(f6589,plain,
( ~ sQ72_spl
| ~ sQ87_spl
| sQ134_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f6582,f6586,f640,f417,f364]) ).
fof(f6590,definition,
! [X0] :
( sQ416_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition]) ).
fof(f6591,plain,
! [X0] :
( ~ sQ416_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f6590]) ).
fof(f6593,plain,
( ~ sQ52_spl
| ~ sQ87_spl
| sQ135_spl
| sQ416_spl ),
inference(split_clause,[status(thm)],[f6583,f6590,f647,f417,f296]) ).
fof(f6596,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ87_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f5295,f365]) ).
fof(f6597,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ87_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f5295,f297]) ).
fof(f6600,plain,
( ~ sQ72_spl
| ~ sQ87_spl
| sQ139_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f6596,f6586,f682,f417,f364]) ).
fof(f6601,plain,
( ~ sQ52_spl
| ~ sQ87_spl
| sQ191_spl
| sQ416_spl ),
inference(split_clause,[status(thm)],[f6597,f6590,f1374,f417,f296]) ).
fof(f6607,plain,
( ~ sQ360_spl
| ~ sQ115_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f513,f3988]) ).
fof(f6608,plain,
( ~ sQ178_spl
| ~ sQ115_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f513,f1227]) ).
fof(f6609,plain,
( ~ sQ176_spl
| ~ sQ115_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f513,f1181]) ).
fof(f6638,plain,
( ~ sQ365_spl
| ~ sQ55_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f307,f4153]) ).
fof(f6640,plain,
( ~ sQ214_spl
| ~ sQ55_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f307,f1757]) ).
fof(f6641,plain,
( ~ sQ412_spl
| ~ sQ55_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f307,f6038]) ).
fof(f6642,plain,
( ~ sQ211_spl
| ~ sQ55_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f307,f1717]) ).
fof(f6643,plain,
( ~ sQ210_spl
| ~ sQ55_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f307,f1711]) ).
fof(f6672,plain,
( ~ sQ411_spl
| ~ sQ87_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f418,f6005]) ).
fof(f6673,plain,
( ~ sQ319_spl
| ~ sQ87_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f418,f3253]) ).
fof(f6674,plain,
( ~ sQ244_spl
| ~ sQ87_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f418,f2204]) ).
fof(f6675,plain,
( ~ sQ409_spl
| ~ sQ87_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f418,f5950]) ).
fof(f6676,plain,
( ~ sQ246_spl
| ~ sQ87_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f418,f2214]) ).
fof(f6677,plain,
( ~ sQ266_spl
| ~ sQ87_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f418,f2552]) ).
fof(f6679,plain,
( ~ sQ293_spl
| ~ sQ87_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f418,f2911]) ).
fof(f6680,plain,
( ~ sQ249_spl
| ~ sQ87_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f418,f2252]) ).
fof(f6681,plain,
( ~ sQ247_spl
| ~ sQ87_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f418,f2228]) ).
fof(f6684,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ87_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f418,f5886]) ).
fof(f6685,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ87_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f418,f5885]) ).
fof(f6686,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ87_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f418,f5318]) ).
fof(f6687,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ87_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f418,f5317]) ).
fof(f6699,plain,
( ~ sQ52_spl
| ~ sQ87_spl
| sQ133_spl
| sQ416_spl ),
inference(split_clause,[status(thm)],[f6684,f6590,f619,f417,f296]) ).
fof(f6700,plain,
( ~ sQ52_spl
| ~ sQ87_spl
| sQ209_spl
| sQ416_spl ),
inference(split_clause,[status(thm)],[f6685,f6590,f1659,f417,f296]) ).
fof(f6701,plain,
( ~ sQ72_spl
| ~ sQ87_spl
| sQ130_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f6686,f6586,f584,f417,f364]) ).
fof(f6702,plain,
( ~ sQ72_spl
| ~ sQ87_spl
| sQ183_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f6687,f6586,f1286,f417,f364]) ).
fof(f6707,plain,
( ~ sQ90_spl
| ~ sQ270_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f2586,f428]) ).
fof(f6708,plain,
( ~ sQ90_spl
| ~ sQ415_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f6587,f428]) ).
fof(f6709,plain,
( ~ sQ90_spl
| ~ sQ416_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f6591,f428]) ).
fof(f6710,plain,
( ~ sQ11_spl
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f604,f52]) ).
fof(f6711,plain,
( ~ sQ122_spl
| ~ next(e_5,e_2) ),
inference(resolution,[status(thm)],[f4636,f56]) ).
fof(f6712,plain,
( ~ sQ122_spl
| ~ next(e_5,e_1) ),
inference(resolution,[status(thm)],[f4636,f53]) ).
fof(f6713,plain,
( ~ sQ79_spl
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f1739,f61]) ).
fof(f6714,plain,
( ~ sQ79_spl
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f1739,f60]) ).
fof(f6715,plain,
( ~ sQ79_spl
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f1739,f58]) ).
fof(f6716,plain,
( ~ sQ79_spl
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f1739,f55]) ).
fof(f6717,plain,
( ~ sQ28_spl
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f808,f59]) ).
fof(f6718,plain,
( ~ sQ28_spl
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f808,f57]) ).
fof(f6719,plain,
( ~ sQ28_spl
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f808,f54]) ).
fof(f6720,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6717,f49]) ).
fof(f6721,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f6720]) ).
fof(f6724,plain,
( ~ sQ241_spl
| ~ sQ52_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f5869,f177,f296,f2087]) ).
fof(f6725,plain,
( ~ sQ34_spl
| ~ sQ344_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f232,f6318]) ).
fof(f6726,plain,
( ~ sQ34_spl
| ~ sQ344_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f6725]) ).
fof(f6727,plain,
( ~ sQ392_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f5220,f158,f5170]) ).
fof(f6730,plain,
( ~ sQ336_spl
| ~ sQ49_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f6316,f241,f286,f3416]) ).
fof(f6740,plain,
( ~ sQ128_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f578,f96]) ).
fof(f6753,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ34_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1236,f287]) ).
fof(f6755,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ34_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1236,f146]) ).
fof(f6757,definition,
! [X0] :
( sQ417_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition]) ).
fof(f6758,plain,
! [X0] :
( ~ sQ417_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f6757]) ).
fof(f6760,plain,
( ~ sQ49_spl
| ~ sQ34_spl
| sQ136_spl
| sQ417_spl ),
inference(split_clause,[status(thm)],[f6753,f6757,f654,f231,f286]) ).
fof(f6762,plain,
( ~ sQ9_spl
| ~ sQ34_spl
| sQ137_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f6755,f1254,f661,f231,f145]) ).
fof(f6764,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ111_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4422,f399]) ).
fof(f6765,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ111_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4422,f484]) ).
fof(f6767,plain,
( ~ sQ81_spl
| ~ sQ111_spl
| sQ187_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f6764,f3317,f1341,f499,f398]) ).
fof(f6768,plain,
( ~ sQ106_spl
| ~ sQ111_spl
| sQ136_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f6765,f3496,f654,f499,f483]) ).
fof(f6770,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ111_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4423,f399]) ).
fof(f6771,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ111_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4423,f484]) ).
fof(f6773,plain,
( ~ sQ81_spl
| ~ sQ111_spl
| sQ191_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f6770,f3317,f1374,f499,f398]) ).
fof(f6774,plain,
( ~ sQ106_spl
| ~ sQ111_spl
| sQ253_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f6771,f3496,f2271,f499,f483]) ).
fof(f6780,plain,
( ~ sQ150_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f804,f96]) ).
fof(f6797,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ96_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2243,f399]) ).
fof(f6798,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ96_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2243,f484]) ).
fof(f6799,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2243,f96]) ).
fof(f6800,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| sQ253_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f6797,f2723,f2271,f446,f398]) ).
fof(f6801,plain,
( ~ sQ106_spl
| ~ sQ96_spl
| sQ191_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f6798,f3462,f1374,f446,f483]) ).
fof(f6802,plain,
( ~ sQ96_spl
| sQ139_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f6799,f2256,f682,f446]) ).
fof(f6803,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ96_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2244,f399]) ).
fof(f6804,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ96_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2244,f484]) ).
fof(f6805,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2244,f96]) ).
fof(f6806,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| sQ136_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f6803,f2723,f654,f446,f398]) ).
fof(f6807,plain,
( ~ sQ106_spl
| ~ sQ96_spl
| sQ187_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f6804,f3462,f1341,f446,f483]) ).
fof(f6808,plain,
( ~ sQ96_spl
| sQ137_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f6805,f2256,f661,f446]) ).
fof(f6809,plain,
( ~ sQ90_spl
| ~ sQ269_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f2567,f428]) ).
fof(f6811,plain,
( ~ sQ90_spl
| ~ sQ267_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f2557,f428]) ).
fof(f6813,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ59_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1358,f387]) ).
fof(f6814,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ59_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1358,f146]) ).
fof(f6817,definition,
! [X0] :
( sQ418_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition]) ).
fof(f6818,plain,
! [X0] :
( ~ sQ418_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f6817]) ).
fof(f6820,plain,
( ~ sQ79_spl
| ~ sQ59_spl
| sQ130_spl
| sQ418_spl ),
inference(split_clause,[status(thm)],[f6813,f6817,f584,f318,f386]) ).
fof(f6821,plain,
( ~ sQ9_spl
| ~ sQ59_spl
| sQ143_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f6814,f1511,f712,f318,f145]) ).
fof(f6824,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ59_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1359,f387]) ).
fof(f6825,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ59_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1359,f146]) ).
fof(f6828,plain,
( ~ sQ79_spl
| ~ sQ59_spl
| sQ136_spl
| sQ418_spl ),
inference(split_clause,[status(thm)],[f6824,f6817,f654,f318,f386]) ).
fof(f6829,plain,
( ~ sQ9_spl
| ~ sQ59_spl
| sQ141_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f6825,f1511,f703,f318,f145]) ).
fof(f6855,plain,
( ~ sQ65_spl
| ~ sQ368_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f4176,f343]) ).
fof(f6860,plain,
( ~ sQ15_spl
| ~ sQ188_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f169,f5866]) ).
fof(f6861,plain,
( ~ sQ15_spl
| ~ sQ188_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f6860]) ).
fof(f6862,plain,
( ~ sQ372_spl
| ~ sQ98_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f5126,f158,f452,f4391]) ).
fof(f6864,plain,
( ~ sQ92_spl
| ~ sQ87_spl
| sQ133_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f5284,f2641,f619,f417,f433]) ).
fof(f6865,plain,
( ~ sQ92_spl
| ~ sQ87_spl
| sQ253_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f5285,f2641,f2271,f417,f433]) ).
fof(f6872,definition,
! [X0] :
( sQ419_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition]) ).
fof(f6873,plain,
! [X0] :
( ~ sQ419_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f6872]) ).
fof(f6875,plain,
( ~ sQ5_spl
| ~ sQ110_spl
| sQ132_spl
| sQ419_spl ),
inference(split_clause,[status(thm)],[f5359,f6872,f615,f496,f133]) ).
fof(f6876,plain,
( ~ sQ5_spl
| ~ sQ110_spl
| sQ187_spl
| sQ419_spl ),
inference(split_clause,[status(thm)],[f5360,f6872,f1341,f496,f133]) ).
fof(f6877,plain,
( ~ sQ409_spl
| ~ sQ87_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f6675,f228,f417,f5949]) ).
fof(f6878,plain,
( ~ sQ330_spl
| ~ sQ49_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f6314,f228,f286,f3358]) ).
fof(f6879,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ15_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1045,f513]) ).
fof(f6881,plain,
( ~ sQ115_spl
| ~ sQ15_spl
| sQ183_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f6879,f3067,f1286,f168,f512]) ).
fof(f6883,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ15_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1044,f513]) ).
fof(f6885,plain,
( ~ sQ115_spl
| ~ sQ15_spl
| sQ137_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f6883,f3067,f661,f168,f512]) ).
fof(f6891,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ74_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1858,f287]) ).
fof(f6893,plain,
( ~ sQ49_spl
| ~ sQ74_spl
| sQ130_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f6891,f4152,f584,f370,f286]) ).
fof(f6895,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ74_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1857,f287]) ).
fof(f6897,plain,
( ~ sQ49_spl
| ~ sQ74_spl
| sQ160_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f6895,f4152,f919,f370,f286]) ).
fof(f6907,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ5_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f768,f513]) ).
fof(f6909,plain,
( ~ sQ115_spl
| ~ sQ5_spl
| sQ146_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f6907,f3072,f759,f133,f512]) ).
fof(f6922,plain,
( ~ sQ391_spl
| ~ sQ29_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f213,f5166]) ).
fof(f6923,plain,
( ~ sQ356_spl
| ~ sQ29_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f213,f3904]) ).
fof(f6925,plain,
( ~ sQ297_spl
| ~ sQ29_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f213,f2955]) ).
fof(f6926,plain,
! [X0] :
( ~ sQ29_spl
| ~ greater(e_5,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f213,f63]) ).
fof(f6952,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ76_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f4387,f484]) ).
fof(f6953,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f4387,f96]) ).
fof(f6954,definition,
! [X0] :
( sQ420_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition]) ).
fof(f6955,plain,
! [X0] :
( ~ sQ420_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f6954]) ).
fof(f6957,plain,
( ~ sQ106_spl
| ~ sQ76_spl
| sQ134_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f6952,f6954,f640,f377,f483]) ).
fof(f6958,plain,
( ~ sQ76_spl
| sQ135_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f6953,f4398,f647,f377]) ).
fof(f6959,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ76_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f4388,f484]) ).
fof(f6960,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f4388,f96]) ).
fof(f6961,plain,
( ~ sQ106_spl
| ~ sQ76_spl
| sQ209_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f6959,f6954,f1659,f377,f483]) ).
fof(f6962,plain,
( ~ sQ76_spl
| sQ143_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f6960,f4398,f712,f377]) ).
fof(f6971,plain,
( ~ sQ177_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1186,f96]) ).
fof(f6972,plain,
( ~ sQ226_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f1866,f96]) ).
fof(f6973,plain,
( ~ sQ373_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f4399,f96]) ).
fof(f6982,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ110_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f3251,f513]) ).
fof(f6984,plain,
( ~ sQ115_spl
| ~ sQ110_spl
| sQ253_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f6982,f5700,f2271,f496,f512]) ).
fof(f6995,plain,
( ~ sQ49_spl
| ~ sQ420_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f6955,f287]) ).
fof(f6996,plain,
( ~ sQ49_spl
| ~ sQ59_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1355,f287]) ).
fof(f6997,plain,
( ~ sQ49_spl
| ~ sQ59_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f6996,f908,f318,f286]) ).
fof(f7010,plain,
( ~ sQ115_spl
| ~ sQ5_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f765,f513]) ).
fof(f7011,plain,
( ~ sQ115_spl
| ~ sQ5_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f7010,f1341,f133,f512]) ).
fof(f7012,plain,
( ~ sQ401_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f5656,f354,f5606]) ).
fof(f7013,plain,
( ~ sQ387_spl
| ~ sQ72_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f5303,f377,f364,f4834]) ).
fof(f7014,plain,
( ~ sQ364_spl
| ~ sQ110_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f5355,f521,f496,f4147]) ).
fof(f7042,plain,
( ~ sQ216_spl
| ~ sQ13_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f159,f1767]) ).
fof(f7043,plain,
( ~ sQ220_spl
| ~ sQ13_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f159,f1807]) ).
fof(f7044,plain,
( ~ sQ223_spl
| ~ sQ13_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f159,f1839]) ).
fof(f7046,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ13_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f159,f1253]) ).
fof(f7047,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ13_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f159,f1252]) ).
fof(f7048,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ13_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f159,f1172]) ).
fof(f7049,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ13_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f159,f1173]) ).
fof(f7050,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f159,f576]) ).
fof(f7051,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f159,f575]) ).
fof(f7059,plain,
( ~ sQ33_spl
| ~ sQ13_spl
| sQ148_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f7046,f4170,f773,f158,f228]) ).
fof(f7060,plain,
( ~ sQ33_spl
| ~ sQ13_spl
| sQ159_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f7047,f4170,f908,f158,f228]) ).
fof(f7061,plain,
( ~ sQ38_spl
| ~ sQ13_spl
| sQ133_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f7048,f1380,f619,f158,f244]) ).
fof(f7062,plain,
( ~ sQ38_spl
| ~ sQ13_spl
| sQ148_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f7049,f1380,f773,f158,f244]) ).
fof(f7063,plain,
( ~ sQ13_spl
| sQ141_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f7050,f3635,f703,f158]) ).
fof(f7064,plain,
( ~ sQ13_spl
| sQ153_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f7051,f3635,f840,f158]) ).
fof(f7070,plain,
( ~ sQ225_spl
| ~ sQ38_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f245,f1861]) ).
fof(f7071,plain,
( ~ sQ394_spl
| ~ sQ38_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f245,f5323]) ).
fof(f7074,plain,
( ~ sQ230_spl
| ~ sQ38_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f245,f1915]) ).
fof(f7075,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ38_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f245,f1253]) ).
fof(f7079,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ38_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f245,f576]) ).
fof(f7080,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ38_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f245,f575]) ).
fof(f7088,definition,
! [X0] :
( sQ421_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ421_spl])],[split_symbol_definition]) ).
fof(f7089,plain,
! [X0] :
( ~ sQ421_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f7088]) ).
fof(f7091,plain,
( ~ sQ33_spl
| ~ sQ38_spl
| sQ153_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f7075,f7088,f840,f244,f228]) ).
fof(f7095,plain,
( ~ sQ13_spl
| ~ sQ38_spl
| sQ159_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f7079,f1380,f908,f244,f158]) ).
fof(f7096,plain,
( ~ sQ13_spl
| ~ sQ38_spl
| sQ135_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f7080,f1380,f647,f244,f158]) ).
fof(f7103,plain,
( ~ sQ178_spl
| ~ sQ5_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f134,f1227]) ).
fof(f7104,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ5_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f134,f3250]) ).
fof(f7105,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ5_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f134,f3251]) ).
fof(f7106,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ5_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f134,f1582]) ).
fof(f7107,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ5_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f134,f1583]) ).
fof(f7108,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ5_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f134,f2802]) ).
fof(f7109,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ5_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f134,f2803]) ).
fof(f7119,plain,
( ~ sQ110_spl
| ~ sQ5_spl
| sQ137_spl
| sQ419_spl ),
inference(split_clause,[status(thm)],[f7104,f6872,f661,f133,f496]) ).
fof(f7120,plain,
( ~ sQ110_spl
| ~ sQ5_spl
| sQ126_spl
| sQ419_spl ),
inference(split_clause,[status(thm)],[f7105,f6872,f556,f133,f496]) ).
fof(f7121,plain,
( ~ sQ50_spl
| ~ sQ5_spl
| sQ143_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f7106,f4342,f712,f133,f290]) ).
fof(f7122,plain,
( ~ sQ50_spl
| ~ sQ5_spl
| sQ132_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f7107,f4342,f615,f133,f290]) ).
fof(f7123,plain,
( ~ sQ80_spl
| ~ sQ5_spl
| sQ139_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f7108,f2807,f682,f133,f395]) ).
fof(f7124,plain,
( ~ sQ80_spl
| ~ sQ5_spl
| sQ129_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f7109,f2807,f580,f133,f395]) ).
fof(f7133,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ118_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3060,f245]) ).
fof(f7134,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ118_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3060,f159]) ).
fof(f7136,definition,
! [X0] :
( sQ422_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition]) ).
fof(f7137,plain,
! [X0] :
( ~ sQ422_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f7136]) ).
fof(f7139,plain,
( ~ sQ38_spl
| ~ sQ118_spl
| sQ146_spl
| sQ422_spl ),
inference(split_clause,[status(thm)],[f7133,f7136,f759,f521,f244]) ).
fof(f7140,plain,
( ~ sQ13_spl
| ~ sQ118_spl
| sQ133_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f7134,f3103,f619,f521,f158]) ).
fof(f7143,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ118_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3061,f159]) ).
fof(f7146,plain,
( ~ sQ13_spl
| ~ sQ118_spl
| sQ126_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f7143,f3103,f556,f521,f158]) ).
fof(f7148,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ93_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2409,f245]) ).
fof(f7149,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ93_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2409,f159]) ).
fof(f7151,plain,
( ~ sQ38_spl
| ~ sQ93_spl
| sQ139_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f7148,f2423,f682,f436,f244]) ).
fof(f7152,plain,
( ~ sQ13_spl
| ~ sQ93_spl
| sQ127_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f7149,f2463,f560,f436,f158]) ).
fof(f7154,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ93_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2410,f245]) ).
fof(f7155,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ93_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2410,f159]) ).
fof(f7157,plain,
( ~ sQ38_spl
| ~ sQ93_spl
| sQ133_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f7154,f2423,f619,f436,f244]) ).
fof(f7158,plain,
( ~ sQ13_spl
| ~ sQ93_spl
| sQ132_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f7155,f2463,f615,f436,f158]) ).
fof(f7171,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ123_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2909,f245]) ).
fof(f7174,plain,
( ~ sQ38_spl
| ~ sQ123_spl
| sQ127_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f7171,f3987,f560,f537,f244]) ).
fof(f7177,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ123_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2908,f245]) ).
fof(f7178,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ123_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2908,f159]) ).
fof(f7180,plain,
( ~ sQ38_spl
| ~ sQ123_spl
| sQ135_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f7177,f3987,f647,f537,f244]) ).
fof(f7181,plain,
( ~ sQ13_spl
| ~ sQ123_spl
| sQ153_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f7178,f2934,f840,f537,f158]) ).
fof(f7193,plain,
( ~ sQ5_spl
| ~ sQ192_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f1381,f134]) ).
fof(f7194,plain,
( ~ sQ38_spl
| ~ sQ33_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1250,f245]) ).
fof(f7195,plain,
( ~ sQ38_spl
| ~ sQ33_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f7194,f661,f228,f244]) ).
fof(f7203,plain,
( ~ sQ270_spl
| ~ sQ80_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f396,f2586]) ).
fof(f7204,plain,
( ~ sQ416_spl
| ~ sQ80_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f396,f6591]) ).
fof(f7205,plain,
( ~ sQ415_spl
| ~ sQ80_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f396,f6587]) ).
fof(f7206,plain,
( ~ sQ274_spl
| ~ sQ80_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f396,f2653]) ).
fof(f7207,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ80_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f396,f3250]) ).
fof(f7208,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ80_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f396,f3251]) ).
fof(f7209,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ80_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f396,f1582]) ).
fof(f7210,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ80_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f396,f1583]) ).
fof(f7211,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f396,f2802]) ).
fof(f7212,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f396,f2803]) ).
fof(f7222,plain,
( ~ sQ110_spl
| ~ sQ80_spl
| sQ187_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f7207,f3317,f1341,f395,f496]) ).
fof(f7223,plain,
( ~ sQ110_spl
| ~ sQ80_spl
| sQ191_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f7208,f3317,f1374,f395,f496]) ).
fof(f7224,plain,
( ~ sQ50_spl
| ~ sQ80_spl
| sQ209_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f7209,f5544,f1659,f395,f290]) ).
fof(f7225,plain,
( ~ sQ50_spl
| ~ sQ80_spl
| sQ160_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f7210,f5544,f919,f395,f290]) ).
fof(f7226,plain,
( ~ sQ80_spl
| sQ253_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f7211,f4566,f2271,f395]) ).
fof(f7227,plain,
( ~ sQ80_spl
| sQ196_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f7212,f4566,f1443,f395]) ).
fof(f7235,plain,
! [X0] :
( ~ sQ76_spl
| ~ greater(e_2,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f378,f63]) ).
fof(f7236,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ76_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f378,f4027]) ).
fof(f7237,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ76_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f378,f4026]) ).
fof(f7238,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ76_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f378,f2244]) ).
fof(f7239,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ76_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f378,f2243]) ).
fof(f7240,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ76_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f378,f1474]) ).
fof(f7241,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ76_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f378,f1475]) ).
fof(f7242,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f378,f4388]) ).
fof(f7243,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f378,f4387]) ).
fof(f7251,plain,
( ~ sQ31_spl
| ~ sQ76_spl
| sQ134_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f7236,f5618,f640,f377,f222]) ).
fof(f7252,plain,
( ~ sQ31_spl
| ~ sQ76_spl
| sQ159_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f7237,f5618,f908,f377,f222]) ).
fof(f7253,definition,
! [X0] :
( sQ423_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ423_spl])],[split_symbol_definition]) ).
fof(f7254,plain,
! [X0] :
( ~ sQ423_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f7253]) ).
fof(f7256,plain,
( ~ sQ96_spl
| ~ sQ76_spl
| sQ136_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f7238,f7253,f654,f377,f446]) ).
fof(f7257,plain,
( ~ sQ96_spl
| ~ sQ76_spl
| sQ127_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f7239,f7253,f560,f377,f446]) ).
fof(f7258,plain,
( ~ sQ56_spl
| ~ sQ76_spl
| sQ130_spl
| sQ418_spl ),
inference(split_clause,[status(thm)],[f7240,f6817,f584,f377,f309]) ).
fof(f7259,plain,
( ~ sQ56_spl
| ~ sQ76_spl
| sQ136_spl
| sQ418_spl ),
inference(split_clause,[status(thm)],[f7241,f6817,f654,f377,f309]) ).
fof(f7260,plain,
( ~ sQ76_spl
| sQ196_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f7242,f5575,f1443,f377]) ).
fof(f7261,plain,
( ~ sQ76_spl
| sQ153_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f7243,f5575,f840,f377]) ).
fof(f7267,plain,
( ~ sQ250_spl
| ~ sQ87_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f418,f2257]) ).
fof(f7268,plain,
( ~ sQ411_spl
| ~ sQ87_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f418,f6005]) ).
fof(f7269,plain,
( ~ sQ266_spl
| ~ sQ87_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f418,f2552]) ).
fof(f7271,plain,
( ~ sQ293_spl
| ~ sQ87_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f418,f2911]) ).
fof(f7272,plain,
( ~ sQ249_spl
| ~ sQ87_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f418,f2252]) ).
fof(f7273,plain,
( ~ sQ247_spl
| ~ sQ87_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f418,f2228]) ).
fof(f7291,plain,
( ~ sQ87_spl
| ~ sQ423_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f7254,f418]) ).
fof(f7292,plain,
( ~ sQ38_spl
| ~ sQ118_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f3057,f245]) ).
fof(f7293,plain,
( ~ sQ38_spl
| ~ sQ118_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f7292,f560,f521,f244]) ).
fof(f7294,plain,
( ~ sQ390_spl
| ~ sQ106_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f6272,f521,f483,f5058]) ).
fof(f7295,definition,
! [X0] :
( sQ424_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition]) ).
fof(f7296,plain,
! [X0] :
( ~ sQ424_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f7295]) ).
fof(f7298,plain,
( ~ sQ82_spl
| sQ136_spl
| sQ424_spl ),
inference(split_clause,[status(thm)],[f2755,f7295,f654,f401]) ).
fof(f7299,plain,
( ~ sQ82_spl
| sQ187_spl
| sQ424_spl ),
inference(split_clause,[status(thm)],[f2756,f7295,f1341,f401]) ).
fof(f7300,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ90_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2484,f134]) ).
fof(f7302,plain,
( ~ sQ5_spl
| ~ sQ90_spl
| sQ132_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f7300,f2490,f615,f427,f133]) ).
fof(f7304,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ90_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2483,f134]) ).
fof(f7306,plain,
( ~ sQ5_spl
| ~ sQ90_spl
| sQ139_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f7304,f2490,f682,f427,f133]) ).
fof(f7308,plain,
( ~ sQ164_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f994,f96]) ).
fof(f7313,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ106_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4598,f378]) ).
fof(f7315,plain,
( ~ sQ76_spl
| ~ sQ106_spl
| sQ130_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f7313,f6954,f584,f483,f377]) ).
fof(f7317,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ106_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4599,f378]) ).
fof(f7319,plain,
( ~ sQ76_spl
| ~ sQ106_spl
| sQ191_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f7317,f6954,f1374,f483,f377]) ).
fof(f7321,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ18_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f985,f159]) ).
fof(f7323,plain,
( ~ sQ13_spl
| ~ sQ18_spl
| sQ159_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f7321,f1026,f908,f177,f158]) ).
fof(f7325,plain,
( ~ sQ208_spl
| ~ sQ106_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f4582,f499,f483,f1630]) ).
fof(f7326,plain,
( ~ sQ399_spl
| ~ sQ98_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f6160,f309,f452,f5544]) ).
fof(f7327,plain,
( ~ sQ123_spl
| ~ sQ215_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f538,f6271]) ).
fof(f7328,plain,
( ~ sQ123_spl
| ~ sQ215_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f7327]) ).
fof(f7338,plain,
( ~ sQ365_spl
| ~ sQ105_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f5755,f521,f480,f4152]) ).
fof(f7351,plain,
( ~ sQ174_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f1158,f96]) ).
fof(f7353,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ88_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2547,f159]) ).
fof(f7355,definition,
! [X0] :
( sQ425_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ425_spl])],[split_symbol_definition]) ).
fof(f7356,plain,
! [X0] :
( ~ sQ425_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f7355]) ).
fof(f7358,plain,
( ~ sQ13_spl
| ~ sQ88_spl
| sQ127_spl
| sQ425_spl ),
inference(split_clause,[status(thm)],[f7353,f7355,f560,f420,f158]) ).
fof(f7360,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ88_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2548,f159]) ).
fof(f7362,plain,
( ~ sQ13_spl
| ~ sQ88_spl
| sQ148_spl
| sQ425_spl ),
inference(split_clause,[status(thm)],[f7360,f7355,f773,f420,f158]) ).
fof(f7372,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2760,f96]) ).
fof(f7373,plain,
( ~ sQ82_spl
| sQ126_spl
| sQ424_spl ),
inference(split_clause,[status(thm)],[f7372,f7295,f556,f401]) ).
fof(f7374,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2761,f96]) ).
fof(f7375,plain,
( ~ sQ82_spl
| sQ129_spl
| sQ424_spl ),
inference(split_clause,[status(thm)],[f7374,f7295,f580,f401]) ).
fof(f7408,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ105_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3450,f134]) ).
fof(f7410,plain,
( ~ sQ5_spl
| ~ sQ105_spl
| sQ126_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f7408,f3416,f556,f480,f133]) ).
fof(f7412,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ105_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3449,f134]) ).
fof(f7414,plain,
( ~ sQ5_spl
| ~ sQ105_spl
| sQ143_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f7412,f3416,f712,f480,f133]) ).
fof(f7428,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ46_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1696,f378]) ).
fof(f7430,plain,
( ~ sQ76_spl
| ~ sQ46_spl
| sQ130_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f7428,f1756,f584,f277,f377]) ).
fof(f7432,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ46_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1697,f378]) ).
fof(f7434,plain,
( ~ sQ76_spl
| ~ sQ46_spl
| sQ134_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f7432,f1756,f640,f277,f377]) ).
fof(f7436,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ111_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4422,f378]) ).
fof(f7438,definition,
! [X0] :
( sQ426_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition]) ).
fof(f7439,plain,
! [X0] :
( ~ sQ426_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f7438]) ).
fof(f7441,plain,
( ~ sQ76_spl
| ~ sQ111_spl
| sQ159_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f7436,f7438,f908,f499,f377]) ).
fof(f7443,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ111_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4423,f378]) ).
fof(f7445,plain,
( ~ sQ76_spl
| ~ sQ111_spl
| sQ191_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f7443,f7438,f1374,f499,f377]) ).
fof(f7451,plain,
( ~ sQ394_spl
| ~ sQ118_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f522,f5323]) ).
fof(f7452,plain,
( ~ sQ366_spl
| ~ sQ118_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f522,f4158]) ).
fof(f7454,plain,
( ~ sQ230_spl
| ~ sQ118_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f522,f1915]) ).
fof(f7455,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ118_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f522,f2548]) ).
fof(f7456,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ118_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f522,f2547]) ).
fof(f7457,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ118_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f522,f1253]) ).
fof(f7458,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ118_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f522,f1252]) ).
fof(f7459,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f522,f3061]) ).
fof(f7460,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f522,f3060]) ).
fof(f7461,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ118_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f522,f576]) ).
fof(f7462,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ118_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f522,f575]) ).
fof(f7470,definition,
! [X0] :
( sQ427_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition]) ).
fof(f7471,plain,
! [X0] :
( ~ sQ427_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f7470]) ).
fof(f7473,plain,
( ~ sQ88_spl
| ~ sQ118_spl
| sQ184_spl
| sQ427_spl ),
inference(split_clause,[status(thm)],[f7455,f7470,f1293,f521,f420]) ).
fof(f7474,plain,
( ~ sQ88_spl
| ~ sQ118_spl
| sQ139_spl
| sQ427_spl ),
inference(split_clause,[status(thm)],[f7456,f7470,f682,f521,f420]) ).
fof(f7475,definition,
! [X0] :
( sQ428_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition]) ).
fof(f7476,plain,
! [X0] :
( ~ sQ428_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f7475]) ).
fof(f7478,plain,
( ~ sQ33_spl
| ~ sQ118_spl
| sQ184_spl
| sQ428_spl ),
inference(split_clause,[status(thm)],[f7457,f7475,f1293,f521,f228]) ).
fof(f7479,plain,
( ~ sQ33_spl
| ~ sQ118_spl
| sQ137_spl
| sQ428_spl ),
inference(split_clause,[status(thm)],[f7458,f7475,f661,f521,f228]) ).
fof(f7480,plain,
( ~ sQ118_spl
| sQ253_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f7459,f4111,f2271,f521]) ).
fof(f7481,plain,
( ~ sQ118_spl
| sQ146_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f7460,f4111,f759,f521]) ).
fof(f7482,plain,
( ~ sQ13_spl
| ~ sQ118_spl
| sQ187_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f7461,f3103,f1341,f521,f158]) ).
fof(f7483,plain,
( ~ sQ13_spl
| ~ sQ118_spl
| sQ135_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f7462,f3103,f647,f521,f158]) ).
fof(f7488,plain,
( ~ sQ5_spl
| ~ sQ176_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1181,f134]) ).
fof(f7492,plain,
( ~ sQ304_spl
| ~ sQ39_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f248,f3104]) ).
fof(f7493,plain,
( ~ sQ422_spl
| ~ sQ39_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f248,f7137]) ).
fof(f7495,plain,
( ~ sQ308_spl
| ~ sQ39_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f248,f3144]) ).
fof(f7496,plain,
( ~ sQ299_spl
| ~ sQ39_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f248,f3063]) ).
fof(f7497,plain,
( ~ sQ305_spl
| ~ sQ39_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f248,f3110]) ).
fof(f7498,plain,
( ~ sQ310_spl
| ~ sQ39_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f248,f3154]) ).
fof(f7499,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ39_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f248,f2007]) ).
fof(f7500,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ39_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f248,f2008]) ).
fof(f7501,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ39_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f248,f1359]) ).
fof(f7502,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ39_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f248,f1358]) ).
fof(f7503,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f248,f1156]) ).
fof(f7504,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f248,f1155]) ).
fof(f7514,plain,
( ~ sQ310_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7498,f96]) ).
fof(f7515,plain,
( ~ sQ310_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f7514]) ).
fof(f7516,plain,
( ~ sQ69_spl
| ~ sQ39_spl
| sQ137_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f7499,f2020,f661,f247,f354]) ).
fof(f7517,plain,
( ~ sQ69_spl
| ~ sQ39_spl
| sQ130_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f7500,f2020,f584,f247,f354]) ).
fof(f7518,plain,
( ~ sQ59_spl
| ~ sQ39_spl
| sQ159_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f7501,f1365,f908,f247,f318]) ).
fof(f7519,plain,
( ~ sQ59_spl
| ~ sQ39_spl
| sQ143_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f7502,f1365,f712,f247,f318]) ).
fof(f7520,plain,
( ~ sQ39_spl
| sQ153_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f7503,f5982,f840,f247]) ).
fof(f7521,plain,
( ~ sQ39_spl
| sQ146_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f7504,f5982,f759,f247]) ).
fof(f7527,plain,
( ~ sQ88_spl
| ~ sQ33_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f229,f2545]) ).
fof(f7529,plain,
( ~ sQ237_spl
| ~ sQ33_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f229,f2021]) ).
fof(f7531,plain,
( ~ sQ236_spl
| ~ sQ33_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f229,f2016]) ).
fof(f7532,plain,
( ~ sQ385_spl
| ~ sQ33_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f229,f4797]) ).
fof(f7533,plain,
( ~ sQ347_spl
| ~ sQ33_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f229,f3678]) ).
fof(f7534,plain,
( ~ sQ361_spl
| ~ sQ33_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f229,f4098]) ).
fof(f7536,plain,
( ~ sQ242_spl
| ~ sQ33_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f229,f2093]) ).
fof(f7537,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ33_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f229,f2548]) ).
fof(f7538,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ33_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f229,f2547]) ).
fof(f7539,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f229,f1253]) ).
fof(f7540,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f229,f1252]) ).
fof(f7541,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ33_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f229,f3061]) ).
fof(f7542,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ33_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f229,f3060]) ).
fof(f7552,plain,
( ~ sQ88_spl
| ~ sQ33_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f7527,f556,f228,f420]) ).
fof(f7553,plain,
( ~ sQ361_spl
| ~ sQ33_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f7534,f247,f228,f4097]) ).
fof(f7554,plain,
( ~ sQ242_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7536,f96]) ).
fof(f7555,plain,
( ~ sQ242_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f7554]) ).
fof(f7556,plain,
( ~ sQ33_spl
| sQ153_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f7539,f5495,f840,f228]) ).
fof(f7557,plain,
( ~ sQ33_spl
| sQ141_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f7540,f5495,f703,f228]) ).
fof(f7558,plain,
( ~ sQ118_spl
| ~ sQ33_spl
| sQ127_spl
| sQ428_spl ),
inference(split_clause,[status(thm)],[f7541,f7475,f560,f228,f521]) ).
fof(f7559,plain,
( ~ sQ118_spl
| ~ sQ33_spl
| sQ132_spl
| sQ428_spl ),
inference(split_clause,[status(thm)],[f7542,f7475,f615,f228,f521]) ).
fof(f7564,definition,
! [X0] :
( sQ429_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition]) ).
fof(f7565,plain,
! [X0] :
( ~ sQ429_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f7564]) ).
fof(f7567,plain,
( ~ sQ86_spl
| sQ133_spl
| sQ429_spl ),
inference(split_clause,[status(thm)],[f6569,f7564,f619,f414]) ).
fof(f7568,plain,
( ~ sQ86_spl
| sQ183_spl
| sQ429_spl ),
inference(split_clause,[status(thm)],[f6570,f7564,f1286,f414]) ).
fof(f7569,plain,
( ~ sQ397_spl
| ~ sQ86_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f6552,f228,f414,f5460]) ).
fof(f7570,plain,
( ~ sQ263_spl
| ~ sQ86_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f6553,f277,f414,f2485]) ).
fof(f7571,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ93_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2409,f229]) ).
fof(f7572,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ93_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2409,f522]) ).
fof(f7575,definition,
! [X0] :
( sQ430_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ430_spl])],[split_symbol_definition]) ).
fof(f7576,plain,
! [X0] :
( ~ sQ430_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f7575]) ).
fof(f7578,plain,
( ~ sQ33_spl
| ~ sQ93_spl
| sQ126_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f7571,f7575,f556,f436,f228]) ).
fof(f7579,plain,
( ~ sQ118_spl
| ~ sQ93_spl
| sQ139_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f7572,f3148,f682,f436,f521]) ).
fof(f7582,plain,
( ~ sQ309_spl
| ~ sQ86_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f6550,f247,f414,f3148]) ).
fof(f7583,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ93_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2410,f229]) ).
fof(f7584,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ93_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2410,f522]) ).
fof(f7587,plain,
( ~ sQ33_spl
| ~ sQ93_spl
| sQ133_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f7583,f7575,f619,f436,f228]) ).
fof(f7588,plain,
( ~ sQ118_spl
| ~ sQ93_spl
| sQ183_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f7584,f3148,f1286,f436,f521]) ).
fof(f7593,plain,
( ~ sQ260_spl
| ~ sQ96_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f447,f2429]) ).
fof(f7595,plain,
( ~ sQ382_spl
| ~ sQ96_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f447,f4620]) ).
fof(f7596,plain,
( ~ sQ272_spl
| ~ sQ96_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f447,f2642]) ).
fof(f7597,plain,
( ~ sQ352_spl
| ~ sQ96_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f447,f3853]) ).
fof(f7598,plain,
( ~ sQ282_spl
| ~ sQ96_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f447,f2824]) ).
fof(f7599,plain,
( ~ sQ262_spl
| ~ sQ96_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f447,f2470]) ).
fof(f7600,plain,
( ~ sQ258_spl
| ~ sQ96_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f447,f2419]) ).
fof(f7601,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ96_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f447,f4423]) ).
fof(f7602,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ96_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f447,f4422]) ).
fof(f7605,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f447,f2244]) ).
fof(f7606,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f447,f2243]) ).
fof(f7607,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ96_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f447,f4388]) ).
fof(f7608,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ96_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f447,f4387]) ).
fof(f7616,plain,
( ~ sQ352_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7597,f96]) ).
fof(f7617,plain,
( ~ sQ352_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f7616]) ).
fof(f7618,plain,
( ~ sQ111_spl
| ~ sQ96_spl
| sQ126_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f7601,f3252,f556,f446,f499]) ).
fof(f7619,plain,
( ~ sQ111_spl
| ~ sQ96_spl
| sQ187_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f7602,f3252,f1341,f446,f499]) ).
fof(f7622,plain,
( ~ sQ96_spl
| sQ141_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f7605,f3844,f703,f446]) ).
fof(f7623,plain,
( ~ sQ96_spl
| sQ253_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f7606,f3844,f2271,f446]) ).
fof(f7624,plain,
( ~ sQ76_spl
| ~ sQ96_spl
| sQ129_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f7607,f7253,f580,f446,f377]) ).
fof(f7625,plain,
( ~ sQ76_spl
| ~ sQ96_spl
| sQ184_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f7608,f7253,f1293,f446,f377]) ).
fof(f7631,plain,
( ~ sQ428_spl
| ~ sQ15_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f169,f7476]) ).
fof(f7633,plain,
( ~ sQ421_spl
| ~ sQ15_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f169,f7089]) ).
fof(f7634,plain,
( ~ sQ402_spl
| ~ sQ15_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f169,f5619]) ).
fof(f7635,plain,
( ~ sQ186_spl
| ~ sQ15_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f169,f1335]) ).
fof(f7660,plain,
( ~ sQ336_spl
| ~ sQ59_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f319,f3417]) ).
fof(f7662,plain,
( ~ sQ342_spl
| ~ sQ59_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f319,f3473]) ).
fof(f7663,plain,
( ~ sQ420_spl
| ~ sQ59_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f319,f6955]) ).
fof(f7665,plain,
( ~ sQ413_spl
| ~ sQ59_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f319,f6293]) ).
fof(f7666,plain,
( ~ sQ380_spl
| ~ sQ59_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f319,f4607]) ).
fof(f7667,plain,
( ~ sQ381_spl
| ~ sQ59_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f319,f4612]) ).
fof(f7670,plain,
( ~ sQ328_spl
| ~ sQ59_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f319,f3349]) ).
fof(f7671,plain,
( ~ sQ337_spl
| ~ sQ59_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f319,f3423]) ).
fof(f7687,plain,
( ~ sQ420_spl
| ~ sQ59_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f7663,f158,f318,f6954]) ).
fof(f7701,plain,
( ~ sQ426_spl
| ~ sQ69_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f355,f7439]) ).
fof(f7702,plain,
( ~ sQ375_spl
| ~ sQ69_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f355,f4432]) ).
fof(f7703,plain,
( ~ sQ419_spl
| ~ sQ69_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f355,f6873]) ).
fof(f7705,plain,
( ~ sQ374_spl
| ~ sQ69_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f355,f4427]) ).
fof(f7706,plain,
( ~ sQ314_spl
| ~ sQ69_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f355,f3192]) ).
fof(f7708,plain,
( ~ sQ321_spl
| ~ sQ69_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f355,f3263]) ).
fof(f7709,plain,
( ~ sQ318_spl
| ~ sQ69_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f355,f3229]) ).
fof(f7710,plain,
( ~ sQ323_spl
| ~ sQ69_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f355,f3273]) ).
fof(f7726,plain,
( ~ sQ419_spl
| ~ sQ69_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f7703,f364,f354,f6872]) ).
fof(f7737,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ49_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1595,f248]) ).
fof(f7741,definition,
! [X0] :
( sQ431_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ431_spl])],[split_symbol_definition]) ).
fof(f7742,plain,
! [X0] :
( ~ sQ431_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f7741]) ).
fof(f7744,plain,
( ~ sQ39_spl
| ~ sQ49_spl
| sQ153_spl
| sQ431_spl ),
inference(split_clause,[status(thm)],[f7737,f7741,f840,f286,f247]) ).
fof(f7780,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ34_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1237,f248]) ).
fof(f7784,plain,
( ~ sQ39_spl
| ~ sQ34_spl
| sQ153_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f7780,f7088,f840,f231,f247]) ).
fof(f7788,plain,
( ~ sQ96_spl
| ~ sQ261_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f2464,f447]) ).
fof(f7789,plain,
( ~ sQ96_spl
| ~ sQ430_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f7576,f447]) ).
fof(f7790,plain,
( ~ sQ96_spl
| ~ sQ309_spl
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f3149,f447]) ).
fof(f7800,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ56_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1475,f447]) ).
fof(f7803,plain,
( ~ sQ96_spl
| ~ sQ56_spl
| sQ141_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f7800,f3926,f703,f309,f446]) ).
fof(f7806,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ56_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1474,f447]) ).
fof(f7809,plain,
( ~ sQ96_spl
| ~ sQ56_spl
| sQ209_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f7806,f3926,f1659,f309,f446]) ).
fof(f7815,plain,
( ~ sQ179_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f1239,f96]) ).
fof(f7817,plain,
( ~ sQ15_spl
| ~ sQ181_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f1260,f169]) ).
fof(f7818,plain,
( ~ sQ39_spl
| ~ sQ49_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1592,f248]) ).
fof(f7819,plain,
( ~ sQ39_spl
| ~ sQ49_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f7818,f712,f286,f247]) ).
fof(f7865,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ80_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2803,f169]) ).
fof(f7868,plain,
( ~ sQ15_spl
| ~ sQ80_spl
| sQ143_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f7865,f2728,f712,f395,f168]) ).
fof(f7871,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ80_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2802,f169]) ).
fof(f7874,plain,
( ~ sQ15_spl
| ~ sQ80_spl
| sQ126_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f7871,f2728,f556,f395,f168]) ).
fof(f7894,plain,
( ~ sQ15_spl
| ~ sQ367_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f4171,f169]) ).
fof(f7898,plain,
( ~ sQ152_spl
| ~ sQ122_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f535,f837]) ).
fof(f7899,plain,
! [X0] :
( ~ sQ122_spl
| ~ greater(e_3,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f535,f63]) ).
fof(f7928,plain,
( ~ sQ147_spl
| ~ sQ72_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f771]) ).
fof(f7930,plain,
( ~ sQ219_spl
| ~ sQ72_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f365,f1802]) ).
fof(f7931,plain,
( ~ sQ145_spl
| ~ sQ72_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f365,f756]) ).
fof(f7960,plain,
( ~ sQ169_spl
| ~ sQ111_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f500,f1052]) ).
fof(f7961,plain,
( ~ sQ168_spl
| ~ sQ111_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f500,f1047]) ).
fof(f7964,plain,
( ~ sQ163_spl
| ~ sQ111_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f500,f989]) ).
fof(f7965,plain,
( ~ sQ300_spl
| ~ sQ111_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f500,f3068]) ).
fof(f7966,plain,
( ~ sQ359_spl
| ~ sQ111_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f500,f3977]) ).
fof(f7967,plain,
( ~ sQ167_spl
| ~ sQ111_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f500,f1033]) ).
fof(f7968,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ111_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f500,f1697]) ).
fof(f7969,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ111_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f500,f1696]) ).
fof(f7970,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f500,f4423]) ).
fof(f7971,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f500,f4422]) ).
fof(f7974,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ111_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f500,f4388]) ).
fof(f7975,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ111_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f500,f4387]) ).
fof(f7983,plain,
( ~ sQ46_spl
| ~ sQ111_spl
| sQ184_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f7968,f3217,f1293,f499,f277]) ).
fof(f7984,plain,
( ~ sQ46_spl
| ~ sQ111_spl
| sQ129_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f7969,f3217,f580,f499,f277]) ).
fof(f7985,plain,
( ~ sQ111_spl
| sQ253_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f7970,f3286,f2271,f499]) ).
fof(f7986,plain,
( ~ sQ111_spl
| sQ141_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f7971,f3286,f703,f499]) ).
fof(f7989,plain,
( ~ sQ76_spl
| ~ sQ111_spl
| sQ209_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f7974,f7438,f1659,f499,f377]) ).
fof(f7990,plain,
( ~ sQ76_spl
| ~ sQ111_spl
| sQ148_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f7975,f7438,f773,f499,f377]) ).
fof(f7995,plain,
( ~ sQ338_spl
| ~ sQ93_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f437,f3453]) ).
fof(f7997,plain,
( ~ sQ424_spl
| ~ sQ93_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f437,f7296]) ).
fof(f7999,plain,
( ~ sQ389_spl
| ~ sQ93_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f437,f5005]) ).
fof(f8000,plain,
( ~ sQ276_spl
| ~ sQ93_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f437,f2729]) ).
fof(f8001,plain,
( ~ sQ279_spl
| ~ sQ93_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f437,f2808]) ).
fof(f8002,plain,
( ~ sQ326_spl
| ~ sQ93_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f437,f3318]) ).
fof(f8003,plain,
( ~ sQ290_spl
| ~ sQ93_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f437,f2873]) ).
fof(f8004,plain,
( ~ sQ275_spl
| ~ sQ93_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f437,f2724]) ).
fof(f8005,plain,
( ~ sQ278_spl
| ~ sQ93_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f437,f2740]) ).
fof(f8006,plain,
( ~ sQ280_spl
| ~ sQ93_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f437,f2813]) ).
fof(f8007,plain,
( ~ sQ291_spl
| ~ sQ93_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f437,f2878]) ).
fof(f8008,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ93_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f437,f1253]) ).
fof(f8009,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ93_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f437,f1252]) ).
fof(f8010,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f437,f2410]) ).
fof(f8011,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f437,f2409]) ).
fof(f8014,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ93_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f437,f576]) ).
fof(f8015,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ93_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f437,f575]) ).
fof(f8023,plain,
( ~ sQ389_spl
| ~ sQ93_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f7999,f168,f436,f5004]) ).
fof(f8024,plain,
( ~ sQ291_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8007,f96]) ).
fof(f8025,plain,
( ~ sQ291_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f8024]) ).
fof(f8026,plain,
( ~ sQ33_spl
| ~ sQ93_spl
| sQ135_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f8008,f7575,f647,f436,f228]) ).
fof(f8027,plain,
( ~ sQ33_spl
| ~ sQ93_spl
| sQ187_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f8009,f7575,f1341,f436,f228]) ).
fof(f8028,plain,
( ~ sQ93_spl
| sQ146_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f8010,f2592,f759,f436]) ).
fof(f8029,plain,
( ~ sQ93_spl
| sQ253_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f8011,f2592,f2271,f436]) ).
fof(f8032,plain,
( ~ sQ13_spl
| ~ sQ93_spl
| sQ137_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f8014,f2463,f661,f436,f158]) ).
fof(f8033,plain,
( ~ sQ13_spl
| ~ sQ93_spl
| sQ184_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f8015,f2463,f1293,f436,f158]) ).
fof(f8039,plain,
( ~ sQ339_spl
| ~ sQ59_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f319,f3458]) ).
fof(f8040,plain,
( ~ sQ336_spl
| ~ sQ59_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f319,f3417]) ).
fof(f8041,plain,
( ~ sQ342_spl
| ~ sQ59_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f319,f3473]) ).
fof(f8042,plain,
( ~ sQ379_spl
| ~ sQ59_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f319,f4602]) ).
fof(f8043,plain,
( ~ sQ413_spl
| ~ sQ59_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f319,f6293]) ).
fof(f8044,plain,
( ~ sQ380_spl
| ~ sQ59_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f319,f4607]) ).
fof(f8045,plain,
( ~ sQ381_spl
| ~ sQ59_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f319,f4612]) ).
fof(f8048,plain,
( ~ sQ328_spl
| ~ sQ59_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f319,f3349]) ).
fof(f8049,plain,
( ~ sQ337_spl
| ~ sQ59_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f319,f3423]) ).
fof(f8077,plain,
( ~ sQ316_spl
| ~ sQ105_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f481,f3218]) ).
fof(f8079,plain,
( ~ sQ214_spl
| ~ sQ105_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f481,f1757]) ).
fof(f8080,plain,
( ~ sQ213_spl
| ~ sQ105_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f481,f1730]) ).
fof(f8081,plain,
( ~ sQ431_spl
| ~ sQ105_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f481,f7742]) ).
fof(f8082,plain,
( ~ sQ417_spl
| ~ sQ105_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f481,f6758]) ).
fof(f8083,plain,
( ~ sQ388_spl
| ~ sQ105_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f481,f4911]) ).
fof(f8084,plain,
( ~ sQ412_spl
| ~ sQ105_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f481,f6038]) ).
fof(f8085,plain,
( ~ sQ211_spl
| ~ sQ105_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f481,f1717]) ).
fof(f8092,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ105_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f481,f768]) ).
fof(f8093,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ105_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f481,f769]) ).
fof(f8107,plain,
( ~ sQ5_spl
| ~ sQ105_spl
| sQ160_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f8092,f3416,f919,f480,f133]) ).
fof(f8108,plain,
( ~ sQ5_spl
| ~ sQ105_spl
| sQ187_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f8093,f3416,f1341,f480,f133]) ).
fof(f8114,plain,
( ~ sQ237_spl
| ~ sQ33_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f229,f2021]) ).
fof(f8115,plain,
( ~ sQ236_spl
| ~ sQ33_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f229,f2016]) ).
fof(f8116,plain,
( ~ sQ385_spl
| ~ sQ33_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f229,f4797]) ).
fof(f8118,plain,
( ~ sQ240_spl
| ~ sQ33_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f229,f2083]) ).
fof(f8147,plain,
( ~ sQ248_spl
| ~ sQ87_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f418,f2247]) ).
fof(f8149,plain,
( ~ sQ250_spl
| ~ sQ87_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f418,f2257]) ).
fof(f8150,plain,
( ~ sQ423_spl
| ~ sQ87_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f418,f7254]) ).
fof(f8151,plain,
( ~ sQ411_spl
| ~ sQ87_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f418,f6005]) ).
fof(f8152,plain,
( ~ sQ266_spl
| ~ sQ87_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f418,f2552]) ).
fof(f8154,plain,
( ~ sQ293_spl
| ~ sQ87_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f418,f2911]) ).
fof(f8155,plain,
( ~ sQ249_spl
| ~ sQ87_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f418,f2252]) ).
fof(f8156,plain,
( ~ sQ247_spl
| ~ sQ87_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f418,f2228]) ).
fof(f8185,plain,
( ~ sQ353_spl
| ~ sQ80_spl
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f396,f3878]) ).
fof(f8186,plain,
( ~ sQ270_spl
| ~ sQ80_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f396,f2586]) ).
fof(f8187,plain,
( ~ sQ429_spl
| ~ sQ80_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f396,f7565]) ).
fof(f8188,plain,
( ~ sQ427_spl
| ~ sQ80_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f396,f7471]) ).
fof(f8191,plain,
( ~ sQ415_spl
| ~ sQ80_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f396,f6587]) ).
fof(f8192,plain,
( ~ sQ274_spl
| ~ sQ80_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f396,f2653]) ).
fof(f8197,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ80_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f396,f1044]) ).
fof(f8198,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ80_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f396,f1045]) ).
fof(f8212,plain,
( ~ sQ15_spl
| ~ sQ80_spl
| sQ187_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f8197,f2728,f1341,f395,f168]) ).
fof(f8213,plain,
( ~ sQ15_spl
| ~ sQ80_spl
| sQ160_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f8198,f2728,f919,f395,f168]) ).
fof(f8221,plain,
( ~ sQ390_spl
| ~ sQ46_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f278,f5059]) ).
fof(f8222,plain,
( ~ sQ406_spl
| ~ sQ46_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f278,f5893]) ).
fof(f8223,plain,
( ~ sQ407_spl
| ~ sQ46_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f278,f5898]) ).
fof(f8224,plain,
( ~ sQ203_spl
| ~ sQ46_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f278,f1533]) ).
fof(f8225,plain,
( ~ sQ320_spl
| ~ sQ46_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f278,f3258]) ).
fof(f8226,plain,
( ~ sQ307_spl
| ~ sQ46_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f278,f3139]) ).
fof(f8227,plain,
( ~ sQ205_spl
| ~ sQ46_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f278,f1573]) ).
fof(f8228,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f278,f1697]) ).
fof(f8229,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f278,f1696]) ).
fof(f8230,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ46_spl
| equalish(e_5,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f278,f4423]) ).
fof(f8231,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ46_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f278,f4422]) ).
fof(f8232,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ46_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f278,f2244]) ).
fof(f8233,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ46_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f278,f2243]) ).
fof(f8243,plain,
( ~ sQ307_spl
| ~ sQ46_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f8226,f247,f277,f3138]) ).
fof(f8244,plain,
( ~ sQ46_spl
| sQ153_spl
| sQ414_spl ),
inference(split_clause,[status(thm)],[f8228,f6341,f840,f277]) ).
fof(f8245,plain,
( ~ sQ46_spl
| sQ196_spl
| sQ414_spl ),
inference(split_clause,[status(thm)],[f8229,f6341,f1443,f277]) ).
fof(f8246,plain,
( ~ sQ111_spl
| ~ sQ46_spl
| sQ127_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f8230,f3217,f560,f277,f499]) ).
fof(f8247,plain,
( ~ sQ111_spl
| ~ sQ46_spl
| sQ136_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f8231,f3217,f654,f277,f499]) ).
fof(f8248,plain,
( ~ sQ96_spl
| ~ sQ46_spl
| sQ159_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f8232,f2246,f908,f277,f446]) ).
fof(f8249,plain,
( ~ sQ96_spl
| ~ sQ46_spl
| sQ191_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f8233,f2246,f1374,f277,f446]) ).
fof(f8257,plain,
( ~ sQ241_spl
| ~ sQ52_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f297,f2088]) ).
fof(f8258,plain,
( ~ sQ189_spl
| ~ sQ52_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f297,f1366]) ).
fof(f8259,plain,
( ~ sQ418_spl
| ~ sQ52_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f297,f6818]) ).
fof(f8261,plain,
( ~ sQ350_spl
| ~ sQ52_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f297,f3804]) ).
fof(f8262,plain,
( ~ sQ362_spl
| ~ sQ52_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f297,f4107]) ).
fof(f8263,plain,
( ~ sQ198_spl
| ~ sQ52_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f297,f1478]) ).
fof(f8264,plain,
( ~ sQ232_spl
| ~ sQ52_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f297,f1938]) ).
fof(f8265,plain,
( ~ sQ197_spl
| ~ sQ52_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f297,f1462]) ).
fof(f8291,plain,
( ~ sQ29_spl
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f795,f61]) ).
fof(f8292,plain,
( ~ sQ29_spl
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f795,f60]) ).
fof(f8293,plain,
( ~ sQ29_spl
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f795,f58]) ).
fof(f8294,plain,
( ~ sQ29_spl
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f795,f55]) ).
fof(f8295,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8292,f49]) ).
fof(f8296,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f8295]) ).
fof(f8297,plain,
( ~ sQ290_spl
| ~ sQ93_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f8003,f206,f436,f2872]) ).
fof(f8298,plain,
( ~ sQ15_spl
| ~ sQ367_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f7894,f206,f4170,f168]) ).
fof(f8301,plain,
( ~ sQ338_spl
| ~ sQ93_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f7995,f302,f436,f3452]) ).
fof(f8302,plain,
( ~ sQ163_spl
| ~ sQ111_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f7964,f531,f499,f988]) ).
fof(f8303,plain,
( ~ sQ366_spl
| ~ sQ118_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f7452,f531,f521,f4157]) ).
fof(f8305,plain,
( ~ sQ320_spl
| ~ sQ46_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f8225,f231,f277,f3257]) ).
fof(f8307,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ70_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1928,f134]) ).
fof(f8308,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ70_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1928,f169]) ).
fof(f8311,plain,
( ~ sQ5_spl
| ~ sQ70_spl
| sQ129_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f8307,f1882,f580,f358,f133]) ).
fof(f8312,plain,
( ~ sQ15_spl
| ~ sQ70_spl
| sQ143_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f8308,f1965,f712,f358,f168]) ).
fof(f8314,plain,
( ~ sQ118_spl
| ~ sQ231_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f1931,f522]) ).
fof(f8315,plain,
( ~ sQ111_spl
| ~ sQ234_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f1966,f500]) ).
fof(f8316,plain,
( ~ sQ111_spl
| ~ sQ234_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f8315,f521,f1965,f499]) ).
fof(f8317,plain,
( ~ sQ300_spl
| ~ sQ31_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f6519,f247,f222,f3067]) ).
fof(f8319,plain,
( ~ sQ204_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1538,f96]) ).
fof(f8320,plain,
( ~ sQ46_spl
| ~ sQ235_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f2011,f278]) ).
fof(f8321,plain,
( ~ sQ59_spl
| ~ sQ341_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f3468,f319]) ).
fof(f8323,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ70_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1927,f134]) ).
fof(f8326,plain,
( ~ sQ5_spl
| ~ sQ70_spl
| sQ146_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f8323,f1882,f759,f358,f133]) ).
fof(f8328,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ54_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1529,f248]) ).
fof(f8330,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ54_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1529,f319]) ).
fof(f8332,definition,
! [X0] :
( sQ432_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ432_spl])],[split_symbol_definition]) ).
fof(f8333,plain,
! [X0] :
( ~ sQ432_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f8332]) ).
fof(f8335,plain,
( ~ sQ39_spl
| ~ sQ54_spl
| sQ143_spl
| sQ432_spl ),
inference(split_clause,[status(thm)],[f8328,f8332,f712,f302,f247]) ).
fof(f8337,definition,
! [X0] :
( sQ433_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition]) ).
fof(f8338,plain,
! [X0] :
( ~ sQ433_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f8337]) ).
fof(f8340,plain,
( ~ sQ59_spl
| ~ sQ54_spl
| sQ196_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f8330,f8337,f1443,f302,f318]) ).
fof(f8342,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ54_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1530,f248]) ).
fof(f8346,plain,
( ~ sQ39_spl
| ~ sQ54_spl
| sQ133_spl
| sQ432_spl ),
inference(split_clause,[status(thm)],[f8342,f8332,f619,f302,f247]) ).
fof(f8378,plain,
( ~ sQ96_spl
| ~ sQ265_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f2496,f447]) ).
fof(f8380,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ18_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f986,f159]) ).
fof(f8383,plain,
( ~ sQ13_spl
| ~ sQ18_spl
| sQ132_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f8380,f1026,f615,f177,f158]) ).
fof(f8391,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ121_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2931,f278]) ).
fof(f8392,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ121_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2931,f500]) ).
fof(f8393,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ121_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2931,f378]) ).
fof(f8394,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ121_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2931,f447]) ).
fof(f8395,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2931,f96]) ).
fof(f8396,plain,
( ~ sQ46_spl
| ~ sQ121_spl
| sQ134_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f8391,f4910,f640,f531,f277]) ).
fof(f8397,definition,
! [X0] :
( sQ434_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).
fof(f8398,plain,
! [X0] :
( ~ sQ434_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f8397]) ).
fof(f8400,plain,
( ~ sQ111_spl
| ~ sQ121_spl
| sQ148_spl
| sQ434_spl ),
inference(split_clause,[status(thm)],[f8392,f8397,f773,f531,f499]) ).
fof(f8401,plain,
( ~ sQ76_spl
| ~ sQ121_spl
| sQ153_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f8393,f5165,f840,f531,f377]) ).
fof(f8402,plain,
( ~ sQ96_spl
| ~ sQ121_spl
| sQ184_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f8394,f2910,f1293,f531,f446]) ).
fof(f8403,plain,
( ~ sQ121_spl
| sQ135_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f8395,f2939,f647,f531]) ).
fof(f8404,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ121_spl
| equalish(e_5,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2932,f278]) ).
fof(f8405,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ121_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2932,f500]) ).
fof(f8406,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ121_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2932,f378]) ).
fof(f8407,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ121_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2932,f447]) ).
fof(f8408,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2932,f96]) ).
fof(f8409,plain,
( ~ sQ46_spl
| ~ sQ121_spl
| sQ127_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f8404,f4910,f560,f531,f277]) ).
fof(f8410,plain,
( ~ sQ111_spl
| ~ sQ121_spl
| sQ253_spl
| sQ434_spl ),
inference(split_clause,[status(thm)],[f8405,f8397,f2271,f531,f499]) ).
fof(f8411,plain,
( ~ sQ76_spl
| ~ sQ121_spl
| sQ191_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f8406,f5165,f1374,f531,f377]) ).
fof(f8412,plain,
( ~ sQ96_spl
| ~ sQ121_spl
| sQ126_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f8407,f2910,f556,f531,f446]) ).
fof(f8413,plain,
( ~ sQ121_spl
| sQ139_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f8408,f2939,f682,f531]) ).
fof(f8415,plain,
( ~ sQ296_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f2940,f96]) ).
fof(f8432,plain,
( ~ sQ179_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f1239,f96]) ).
fof(f8433,plain,
( ~ sQ96_spl
| ~ sQ264_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f2491,f447]) ).
fof(f8434,plain,
( ~ sQ96_spl
| ~ sQ332_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f3397,f447]) ).
fof(f8435,plain,
( ~ sQ96_spl
| ~ sQ332_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f8434,f318,f3396,f446]) ).
fof(f8460,plain,
( ~ sQ59_spl
| ~ sQ54_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1526,f319]) ).
fof(f8461,plain,
( ~ sQ59_spl
| ~ sQ54_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f8460,f615,f302,f318]) ).
fof(f8462,plain,
( ~ sQ258_spl
| ~ sQ81_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f2771,f345,f398,f2418]) ).
fof(f8463,plain,
( ~ sQ203_spl
| ~ sQ106_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f4581,f531,f483,f1532]) ).
fof(f8465,plain,
( ~ sQ374_spl
| ~ sQ19_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f5509,f206,f180,f4426]) ).
fof(f8467,plain,
( ~ sQ152_spl
| ~ sQ27_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f207,f837]) ).
fof(f8468,plain,
! [X0] :
( ~ sQ27_spl
| ~ greater(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f207,f63]) ).
fof(f8469,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f207,f103]) ).
fof(f8470,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f207,f102]) ).
fof(f8471,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f207,f95]) ).
fof(f8472,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f207,f93]) ).
fof(f8473,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f207,f91]) ).
fof(f8474,plain,
! [X0,X1,X2] :
( ~ sQ27_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f207,f100]) ).
fof(f8475,plain,
! [X0,X1,X2] :
( ~ sQ27_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f207,f98]) ).
fof(f8476,definition,
! [X0] :
( sQ435_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition]) ).
fof(f8477,plain,
! [X0] :
( ~ sQ435_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f8476]) ).
fof(f8479,plain,
( ~ sQ27_spl
| sQ137_spl
| sQ435_spl ),
inference(split_clause,[status(thm)],[f8469,f8476,f661,f206]) ).
fof(f8480,plain,
( ~ sQ27_spl
| sQ159_spl
| sQ435_spl ),
inference(split_clause,[status(thm)],[f8470,f8476,f908,f206]) ).
fof(f8489,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ79_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1754,f248]) ).
fof(f8490,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ79_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1754,f319]) ).
fof(f8492,plain,
( ~ sQ39_spl
| ~ sQ79_spl
| sQ130_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f8489,f1771,f584,f386,f247]) ).
fof(f8493,plain,
( ~ sQ59_spl
| ~ sQ79_spl
| sQ129_spl
| sQ418_spl ),
inference(split_clause,[status(thm)],[f8490,f6817,f580,f386,f318]) ).
fof(f8495,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ79_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1753,f248]) ).
fof(f8496,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ79_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1753,f319]) ).
fof(f8498,plain,
( ~ sQ39_spl
| ~ sQ79_spl
| sQ135_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f8495,f1771,f647,f386,f247]) ).
fof(f8499,plain,
( ~ sQ59_spl
| ~ sQ79_spl
| sQ134_spl
| sQ418_spl ),
inference(split_clause,[status(thm)],[f8496,f6817,f640,f386,f318]) ).
fof(f8517,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ106_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4598,f447]) ).
fof(f8519,plain,
( ~ sQ96_spl
| ~ sQ106_spl
| sQ209_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f8517,f3462,f1659,f483,f446]) ).
fof(f8521,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ106_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4599,f447]) ).
fof(f8523,plain,
( ~ sQ96_spl
| ~ sQ106_spl
| sQ126_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f8521,f3462,f556,f483,f446]) ).
fof(f8545,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ87_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f5296,f207]) ).
fof(f8547,plain,
( ~ sQ27_spl
| ~ sQ87_spl
| sQ135_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f8545,f2856,f647,f417,f206]) ).
fof(f8549,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ87_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f5295,f207]) ).
fof(f8551,plain,
( ~ sQ27_spl
| ~ sQ87_spl
| sQ127_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f8549,f2856,f560,f417,f206]) ).
fof(f8553,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ19_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f969,f248]) ).
fof(f8554,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ19_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f969,f319]) ).
fof(f8556,definition,
! [X0] :
( sQ436_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).
fof(f8557,plain,
! [X0] :
( ~ sQ436_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f8556]) ).
fof(f8559,plain,
( ~ sQ39_spl
| ~ sQ19_spl
| sQ137_spl
| sQ436_spl ),
inference(split_clause,[status(thm)],[f8553,f8556,f661,f180,f247]) ).
fof(f8560,plain,
( ~ sQ59_spl
| ~ sQ19_spl
| sQ136_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f8554,f1431,f654,f180,f318]) ).
fof(f8562,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ19_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f970,f248]) ).
fof(f8563,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ19_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f970,f319]) ).
fof(f8565,plain,
( ~ sQ39_spl
| ~ sQ19_spl
| sQ133_spl
| sQ436_spl ),
inference(split_clause,[status(thm)],[f8562,f8556,f619,f180,f247]) ).
fof(f8566,plain,
( ~ sQ59_spl
| ~ sQ19_spl
| sQ132_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f8563,f1431,f615,f180,f318]) ).
fof(f8576,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ47_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1680,f207]) ).
fof(f8578,plain,
( ~ sQ27_spl
| ~ sQ47_spl
| sQ130_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f8576,f4454,f584,f280,f206]) ).
fof(f8580,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ47_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1681,f207]) ).
fof(f8582,plain,
( ~ sQ27_spl
| ~ sQ47_spl
| sQ135_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f8580,f4454,f647,f280,f206]) ).
fof(f8594,plain,
( ~ sQ296_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f2940,f96]) ).
fof(f8595,plain,
( ~ sQ118_spl
| ~ sQ231_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f1931,f522]) ).
fof(f8596,plain,
( ~ sQ96_spl
| ~ sQ265_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f2496,f447]) ).
fof(f8598,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f8474,f207]) ).
fof(f8599,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f8474,f96]) ).
fof(f8600,plain,
( ~ sQ27_spl
| sQ153_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f8598,f4459,f840,f206]) ).
fof(f8601,plain,
( ~ sQ27_spl
| sQ148_spl
| sQ435_spl ),
inference(split_clause,[status(thm)],[f8599,f8476,f773,f206]) ).
fof(f8602,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f8475,f207]) ).
fof(f8603,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f8475,f96]) ).
fof(f8604,plain,
( ~ sQ27_spl
| sQ146_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f8602,f4459,f759,f206]) ).
fof(f8605,plain,
( ~ sQ27_spl
| sQ132_spl
| sQ435_spl ),
inference(split_clause,[status(thm)],[f8603,f8476,f615,f206]) ).
fof(f8606,plain,
( ~ sQ435_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f8477,f96]) ).
fof(f8607,plain,
( ~ sQ96_spl
| ~ sQ264_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f2491,f447]) ).
fof(f8608,plain,
( ~ sQ96_spl
| ~ sQ322_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f3268,f447]) ).
fof(f8609,plain,
( ~ sQ96_spl
| ~ sQ263_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f2486,f447]) ).
fof(f8610,plain,
( ~ sQ5_spl
| ~ sQ217_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1772,f134]) ).
fof(f8611,plain,
( ~ sQ5_spl
| ~ sQ217_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f8610,f158,f1771,f133]) ).
fof(f8612,plain,
( ~ sQ168_spl
| ~ sQ111_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f7961,f518,f499,f1046]) ).
fof(f8613,plain,
( ~ sQ222_spl
| ~ sQ111_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f4409,f537,f499,f1832]) ).
fof(f8614,plain,
( ~ sQ219_spl
| ~ sQ117_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f5089,f537,f518,f1801]) ).
fof(f8615,definition,
! [X0] :
( sQ437_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition]) ).
fof(f8616,plain,
! [X0] :
( ~ sQ437_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f8615]) ).
fof(f8618,plain,
( ~ sQ117_spl
| sQ187_spl
| sQ437_spl ),
inference(split_clause,[status(thm)],[f5096,f8615,f1341,f518]) ).
fof(f8619,plain,
( ~ sQ117_spl
| sQ137_spl
| sQ437_spl ),
inference(split_clause,[status(thm)],[f5097,f8615,f661,f518]) ).
fof(f8620,plain,
( ~ sQ249_spl
| ~ sQ92_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2435,f206,f433,f2251]) ).
fof(f8652,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ72_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f5317,f207]) ).
fof(f8654,plain,
( ~ sQ27_spl
| ~ sQ72_spl
| sQ133_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f8652,f4157,f619,f364,f206]) ).
fof(f8656,plain,
( ~ sQ412_spl
| ~ sQ105_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f8084,f518,f480,f6037]) ).
fof(f8657,plain,
( ~ sQ376_spl
| ~ sQ105_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f5754,f531,f480,f4454]) ).
fof(f8658,definition,
! [X0] :
( sQ438_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ438_spl])],[split_symbol_definition]) ).
fof(f8659,plain,
! [X0] :
( ~ sQ438_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f8658]) ).
fof(f8661,plain,
( ~ sQ47_spl
| ~ sQ117_spl
| sQ184_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f5092,f8658,f1293,f518,f280]) ).
fof(f8662,plain,
( ~ sQ47_spl
| ~ sQ117_spl
| sQ143_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f5093,f8658,f712,f518,f280]) ).
fof(f8663,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ72_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f5318,f207]) ).
fof(f8665,plain,
( ~ sQ27_spl
| ~ sQ72_spl
| sQ143_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f8663,f4157,f712,f364,f206]) ).
fof(f8671,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f6574,f96]) ).
fof(f8672,plain,
( ~ sQ86_spl
| sQ139_spl
| sQ429_spl ),
inference(split_clause,[status(thm)],[f8671,f7564,f682,f414]) ).
fof(f8673,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f6575,f96]) ).
fof(f8674,plain,
( ~ sQ86_spl
| sQ135_spl
| sQ429_spl ),
inference(split_clause,[status(thm)],[f8673,f7564,f647,f414]) ).
fof(f8675,plain,
( ~ sQ373_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f4399,f96]) ).
fof(f8677,plain,
( ~ sQ437_spl
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f8616,f96]) ).
fof(f8682,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ98_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2201,f159]) ).
fof(f8684,plain,
( ~ sQ13_spl
| ~ sQ98_spl
| sQ141_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f8682,f2251,f703,f452,f158]) ).
fof(f8686,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ98_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2200,f159]) ).
fof(f8688,plain,
( ~ sQ13_spl
| ~ sQ98_spl
| sQ127_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f8686,f2251,f560,f452,f158]) ).
fof(f8690,plain,
( ~ sQ326_spl
| ~ sQ93_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f8002,f180,f436,f3317]) ).
fof(f8691,plain,
( ~ sQ113_spl
| ~ sQ236_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f5738,f537,f2015,f505]) ).
fof(f8703,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ117_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f5101,f207]) ).
fof(f8704,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f5101,f96]) ).
fof(f8705,plain,
( ~ sQ27_spl
| ~ sQ117_spl
| sQ133_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f8703,f5247,f619,f518,f206]) ).
fof(f8706,plain,
( ~ sQ117_spl
| sQ132_spl
| sQ437_spl ),
inference(split_clause,[status(thm)],[f8704,f8615,f615,f518]) ).
fof(f8707,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ117_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f5102,f207]) ).
fof(f8708,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f5102,f96]) ).
fof(f8709,plain,
( ~ sQ27_spl
| ~ sQ117_spl
| sQ139_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f8707,f5247,f682,f518,f206]) ).
fof(f8710,plain,
( ~ sQ117_spl
| sQ126_spl
| sQ437_spl ),
inference(split_clause,[status(thm)],[f8708,f8615,f556,f518]) ).
fof(f8760,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ113_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f5601,f159]) ).
fof(f8762,plain,
( ~ sQ13_spl
| ~ sQ113_spl
| sQ159_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f8760,f4426,f908,f505,f158]) ).
fof(f8764,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ113_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f5602,f159]) ).
fof(f8766,plain,
( ~ sQ13_spl
| ~ sQ113_spl
| sQ126_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f8764,f4426,f556,f505,f158]) ).
fof(f8768,plain,
( ~ sQ401_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f5607,f96]) ).
fof(f8769,plain,
( ~ sQ179_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f1239,f96]) ).
fof(f8773,plain,
! [X0] :
( ~ sQ76_spl
| ~ greater(e_2,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f378,f63]) ).
fof(f8776,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ76_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f378,f6575]) ).
fof(f8777,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ76_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f378,f6574]) ).
fof(f8791,definition,
! [X0] :
( sQ439_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).
fof(f8792,plain,
! [X0] :
( ~ sQ439_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f8791]) ).
fof(f8794,plain,
( ~ sQ86_spl
| ~ sQ76_spl
| sQ134_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f8776,f8791,f640,f377,f414]) ).
fof(f8795,plain,
( ~ sQ86_spl
| ~ sQ76_spl
| sQ127_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f8777,f8791,f560,f377,f414]) ).
fof(f8803,plain,
( ~ sQ429_spl
| ~ sQ80_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f396,f7565]) ).
fof(f8805,plain,
( ~ sQ425_spl
| ~ sQ80_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f396,f7356]) ).
fof(f8807,plain,
( ~ sQ415_spl
| ~ sQ80_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f396,f6587]) ).
fof(f8808,plain,
( ~ sQ274_spl
| ~ sQ80_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f396,f2653]) ).
fof(f8812,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ80_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f396,f1928]) ).
fof(f8821,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f396,f95]) ).
fof(f8822,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f396,f93]) ).
fof(f8828,definition,
! [X0] :
( sQ440_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition]) ).
fof(f8829,plain,
! [X0] :
( ~ sQ440_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f8828]) ).
fof(f8832,plain,
( ~ sQ70_spl
| ~ sQ80_spl
| sQ196_spl
| sQ440_spl ),
inference(split_clause,[status(thm)],[f8812,f8828,f1443,f395,f358]) ).
fof(f8841,plain,
( ~ sQ80_spl
| ~ sQ439_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f8792,f396]) ).
fof(f8844,plain,
( ~ sQ13_spl
| ~ sQ123_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2905,f159]) ).
fof(f8845,plain,
( ~ sQ13_spl
| ~ sQ123_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f8844,f556,f537,f158]) ).
fof(f8846,plain,
( ~ sQ437_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f8677,f145,f8615]) ).
fof(f8847,plain,
( ~ sQ198_spl
| ~ sQ52_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f8263,f206,f296,f1477]) ).
fof(f8873,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ55_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1508,f396]) ).
fof(f8875,definition,
! [X0] :
( sQ441_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition]) ).
fof(f8876,plain,
! [X0] :
( ~ sQ441_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f8875]) ).
fof(f8878,plain,
( ~ sQ80_spl
| ~ sQ55_spl
| sQ136_spl
| sQ441_spl ),
inference(split_clause,[status(thm)],[f8873,f8875,f654,f306,f395]) ).
fof(f8880,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ55_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1507,f396]) ).
fof(f8882,plain,
( ~ sQ80_spl
| ~ sQ55_spl
| sQ209_spl
| sQ441_spl ),
inference(split_clause,[status(thm)],[f8880,f8875,f1659,f306,f395]) ).
fof(f8884,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ95_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2348,f396]) ).
fof(f8886,plain,
( ~ sQ80_spl
| ~ sQ95_spl
| sQ136_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f8884,f2723,f654,f443,f395]) ).
fof(f8888,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ95_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2347,f396]) ).
fof(f8890,plain,
( ~ sQ80_spl
| ~ sQ95_spl
| sQ253_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f8888,f2723,f2271,f443,f395]) ).
fof(f8896,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ122_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f4642,f207]) ).
fof(f8898,plain,
( ~ sQ27_spl
| ~ sQ122_spl
| sQ153_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f8896,f3903,f840,f534,f206]) ).
fof(f8916,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ52_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f5885,f207]) ).
fof(f8918,plain,
( ~ sQ27_spl
| ~ sQ52_spl
| sQ130_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f8916,f1532,f584,f296,f206]) ).
fof(f8920,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ52_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f5886,f207]) ).
fof(f8922,plain,
( ~ sQ27_spl
| ~ sQ52_spl
| sQ146_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f8920,f1532,f759,f296,f206]) ).
fof(f8926,definition,
! [X0] :
( sQ442_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition]) ).
fof(f8927,plain,
! [X0] :
( ~ sQ442_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f8926]) ).
fof(f8931,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ92_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2449,f207]) ).
fof(f8933,plain,
( ~ sQ27_spl
| ~ sQ92_spl
| sQ146_spl
| sQ442_spl ),
inference(split_clause,[status(thm)],[f8931,f8926,f759,f433,f206]) ).
fof(f8935,plain,
( ~ sQ302_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f3078,f96]) ).
fof(f8939,plain,
( ~ sQ430_spl
| ~ sQ86_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f415,f7576]) ).
fof(f8940,plain,
( ~ sQ382_spl
| ~ sQ86_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f415,f4620]) ).
fof(f8941,plain,
( ~ sQ272_spl
| ~ sQ86_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f415,f2642]) ).
fof(f8943,plain,
( ~ sQ262_spl
| ~ sQ86_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f415,f2470]) ).
fof(f8944,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ86_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f415,f1697]) ).
fof(f8945,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ86_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f415,f1696]) ).
fof(f8946,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ86_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f415,f4423]) ).
fof(f8947,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ86_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f415,f4422]) ).
fof(f8948,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f415,f6575]) ).
fof(f8949,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f415,f6574]) ).
fof(f8957,definition,
! [X0] :
( sQ443_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ443_spl])],[split_symbol_definition]) ).
fof(f8958,plain,
! [X0] :
( ~ sQ443_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f8957]) ).
fof(f8960,plain,
( ~ sQ46_spl
| ~ sQ86_spl
| sQ153_spl
| sQ443_spl ),
inference(split_clause,[status(thm)],[f8944,f8957,f840,f414,f277]) ).
fof(f8961,plain,
( ~ sQ46_spl
| ~ sQ86_spl
| sQ209_spl
| sQ443_spl ),
inference(split_clause,[status(thm)],[f8945,f8957,f1659,f414,f277]) ).
fof(f8962,plain,
( ~ sQ111_spl
| ~ sQ86_spl
| sQ127_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f8946,f3222,f560,f414,f499]) ).
fof(f8963,plain,
( ~ sQ111_spl
| ~ sQ86_spl
| sQ187_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f8947,f3222,f1341,f414,f499]) ).
fof(f8964,plain,
( ~ sQ86_spl
| sQ153_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f8948,f5376,f840,f414]) ).
fof(f8965,plain,
( ~ sQ86_spl
| sQ253_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f8949,f5376,f2271,f414]) ).
fof(f8969,plain,
( ~ sQ34_spl
| ~ sQ39_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f248,f1234]) ).
fof(f8972,plain,
( ~ sQ422_spl
| ~ sQ39_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f248,f7137]) ).
fof(f8973,plain,
( ~ sQ301_spl
| ~ sQ39_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f248,f3073]) ).
fof(f8975,plain,
( ~ sQ299_spl
| ~ sQ39_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f248,f3063]) ).
fof(f8976,plain,
( ~ sQ305_spl
| ~ sQ39_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f248,f3110]) ).
fof(f8977,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ39_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f248,f677]) ).
fof(f8978,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ39_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f248,f676]) ).
fof(f8981,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ39_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f248,f1236]) ).
fof(f8992,plain,
( ~ sQ34_spl
| ~ sQ39_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f8969,f661,f247,f231]) ).
fof(f8993,plain,
( ~ sQ9_spl
| ~ sQ39_spl
| sQ159_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f8977,f1175,f908,f247,f145]) ).
fof(f8994,plain,
( ~ sQ9_spl
| ~ sQ39_spl
| sQ146_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f8978,f1175,f759,f247,f145]) ).
fof(f8997,plain,
( ~ sQ34_spl
| ~ sQ39_spl
| sQ137_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f8981,f7088,f661,f247,f231]) ).
fof(f9003,plain,
( ~ sQ96_spl
| ~ sQ263_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f8609,f309,f2485,f446]) ).
fof(f9004,plain,
( ~ sQ138_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f679,f96]) ).
fof(f9022,plain,
( ~ sQ39_spl
| ~ sQ304_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f3104,f248]) ).
fof(f9068,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ82_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2760,f207]) ).
fof(f9070,plain,
( ~ sQ27_spl
| ~ sQ82_spl
| sQ127_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f9068,f2851,f560,f401,f206]) ).
fof(f9072,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ82_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2761,f207]) ).
fof(f9074,plain,
( ~ sQ27_spl
| ~ sQ82_spl
| sQ143_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f9072,f2851,f712,f401,f206]) ).
fof(f9076,plain,
( ~ sQ27_spl
| ~ sQ122_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f4639,f207]) ).
fof(f9077,plain,
( ~ sQ27_spl
| ~ sQ122_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f9076,f682,f534,f206]) ).
fof(f9086,plain,
( ~ sQ425_spl
| ~ sQ80_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f8805,f380,f395,f7355]) ).
fof(f9113,plain,
( ~ sQ125_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f554,f96]) ).
fof(f9174,plain,
( ~ sQ174_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f1158,f96]) ).
fof(f9179,plain,
( ~ sQ373_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f4399,f96]) ).
fof(f9182,plain,
( ~ sQ370_spl
| ~ sQ15_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f169,f4330]) ).
fof(f9184,plain,
( ~ sQ428_spl
| ~ sQ15_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f169,f7476]) ).
fof(f9185,plain,
( ~ sQ421_spl
| ~ sQ15_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f169,f7089]) ).
fof(f9186,plain,
( ~ sQ402_spl
| ~ sQ15_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f169,f5619]) ).
fof(f9187,plain,
( ~ sQ186_spl
| ~ sQ15_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f169,f1335]) ).
fof(f9188,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ15_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f169,f1927]) ).
fof(f9191,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ15_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f169,f3251]) ).
fof(f9207,plain,
( ~ sQ70_spl
| ~ sQ15_spl
| sQ132_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f9188,f1965,f615,f168,f358]) ).
fof(f9210,plain,
( ~ sQ110_spl
| ~ sQ15_spl
| sQ139_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f9191,f3294,f682,f168,f496]) ).
fof(f9224,plain,
( ~ sQ270_spl
| ~ sQ80_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f396,f2586]) ).
fof(f9225,plain,
( ~ sQ443_spl
| ~ sQ80_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f396,f8958]) ).
fof(f9226,plain,
( ~ sQ439_spl
| ~ sQ80_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f396,f8792]) ).
fof(f9227,plain,
( ~ sQ429_spl
| ~ sQ80_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f396,f7565]) ).
fof(f9230,plain,
( ~ sQ415_spl
| ~ sQ80_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f396,f6587]) ).
fof(f9231,plain,
( ~ sQ274_spl
| ~ sQ80_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f396,f2653]) ).
fof(f9266,plain,
( ~ sQ220_spl
| ~ sQ123_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f538,f1807]) ).
fof(f9267,plain,
( ~ sQ223_spl
| ~ sQ123_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f538,f1839]) ).
fof(f9268,plain,
! [X0] :
( ~ sQ123_spl
| ~ greater(e_4,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f538,f63]) ).
fof(f9269,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ123_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f538,f2410]) ).
fof(f9270,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ123_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f538,f2409]) ).
fof(f9284,plain,
( ~ sQ93_spl
| ~ sQ123_spl
| sQ183_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f9269,f4661,f1286,f537,f436]) ).
fof(f9285,plain,
( ~ sQ93_spl
| ~ sQ123_spl
| sQ127_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f9270,f4661,f560,f537,f436]) ).
fof(f9294,plain,
( ~ sQ434_spl
| ~ sQ69_spl
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f355,f8398]) ).
fof(f9295,plain,
( ~ sQ426_spl
| ~ sQ69_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f355,f7439]) ).
fof(f9296,plain,
( ~ sQ404_spl
| ~ sQ69_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f355,f5701]) ).
fof(f9297,plain,
( ~ sQ314_spl
| ~ sQ69_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f355,f3192]) ).
fof(f9299,plain,
( ~ sQ321_spl
| ~ sQ69_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f355,f3263]) ).
fof(f9300,plain,
( ~ sQ318_spl
| ~ sQ69_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f355,f3229]) ).
fof(f9301,plain,
( ~ sQ323_spl
| ~ sQ69_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f355,f3273]) ).
fof(f9312,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f355,f95]) ).
fof(f9313,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f355,f93]) ).
fof(f9314,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f355,f91]) ).
fof(f9321,definition,
! [X0] :
( sQ444_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ444_spl])],[split_symbol_definition]) ).
fof(f9322,plain,
! [X0] :
( ~ sQ444_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f9321]) ).
fof(f9330,plain,
( ~ sQ80_spl
| ~ sQ287_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f2857,f396]) ).
fof(f9331,plain,
( ~ sQ80_spl
| ~ sQ287_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f9330,f377,f2856,f395]) ).
fof(f9332,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ77_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f5162,f207]) ).
fof(f9333,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f5162,f96]) ).
fof(f9334,plain,
( ~ sQ27_spl
| ~ sQ77_spl
| sQ153_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f9332,f1806,f840,f380,f206]) ).
fof(f9335,plain,
( ~ sQ77_spl
| sQ148_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f9333,f5170,f773,f380]) ).
fof(f9337,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f5163,f96]) ).
fof(f9339,plain,
( ~ sQ77_spl
| sQ129_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f9337,f5170,f580,f380]) ).
fof(f9340,plain,
( ~ sQ392_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f5171,f96]) ).
fof(f9341,plain,
( ~ sQ69_spl
| ~ sQ419_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f6873,f355]) ).
fof(f9348,plain,
( ~ sQ123_spl
| ~ sQ118_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f3058,f538]) ).
fof(f9349,plain,
( ~ sQ123_spl
| ~ sQ118_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f9348,f619,f521,f537]) ).
fof(f9350,plain,
( ~ sQ395_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f5332,f142,f5327]) ).
fof(f9351,plain,
( ~ sQ282_spl
| ~ sQ86_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f6557,f280,f414,f2823]) ).
fof(f9352,definition,
! [X0] :
( sQ445_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ445_spl])],[split_symbol_definition]) ).
fof(f9353,plain,
! [X0] :
( ~ sQ445_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f9352]) ).
fof(f9355,plain,
( ~ sQ106_spl
| ~ sQ86_spl
| sQ127_spl
| sQ445_spl ),
inference(split_clause,[status(thm)],[f6563,f9352,f560,f414,f483]) ).
fof(f9356,plain,
( ~ sQ106_spl
| ~ sQ86_spl
| sQ209_spl
| sQ445_spl ),
inference(split_clause,[status(thm)],[f6564,f9352,f1659,f414,f483]) ).
fof(f9365,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ115_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3130,f396]) ).
fof(f9366,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ115_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3130,f169]) ).
fof(f9368,plain,
( ~ sQ80_spl
| ~ sQ115_spl
| sQ183_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f9365,f3098,f1286,f512,f395]) ).
fof(f9369,plain,
( ~ sQ15_spl
| ~ sQ115_spl
| sQ132_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f9366,f3067,f615,f512,f168]) ).
fof(f9371,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ115_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3131,f396]) ).
fof(f9372,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ115_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3131,f169]) ).
fof(f9374,plain,
( ~ sQ80_spl
| ~ sQ115_spl
| sQ191_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f9371,f3098,f1374,f512,f395]) ).
fof(f9375,plain,
( ~ sQ15_spl
| ~ sQ115_spl
| sQ139_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f9372,f3067,f682,f512,f168]) ).
fof(f9393,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ37_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1198,f207]) ).
fof(f9395,plain,
( ~ sQ27_spl
| ~ sQ37_spl
| sQ133_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f9393,f1180,f619,f241,f206]) ).
fof(f9397,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ37_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1199,f207]) ).
fof(f9399,plain,
( ~ sQ27_spl
| ~ sQ37_spl
| sQ135_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f9397,f1180,f647,f241,f206]) ).
fof(f9403,plain,
( ~ sQ15_spl
| ~ sQ50_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1580,f169]) ).
fof(f9404,plain,
( ~ sQ15_spl
| ~ sQ50_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f9403,f580,f290,f168]) ).
fof(f9408,plain,
( ~ sQ444_spl
| ~ sQ33_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f229,f9322]) ).
fof(f9409,plain,
( ~ sQ385_spl
| ~ sQ33_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f229,f4797]) ).
fof(f9418,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ33_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f229,f2908]) ).
fof(f9419,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ33_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f229,f2909]) ).
fof(f9433,plain,
( ~ sQ123_spl
| ~ sQ33_spl
| sQ148_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f9418,f4329,f773,f228,f537]) ).
fof(f9434,plain,
( ~ sQ123_spl
| ~ sQ33_spl
| sQ127_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f9419,f4329,f560,f228,f537]) ).
fof(f9441,plain,
( ~ sQ391_spl
| ~ sQ14_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f162,f5166]) ).
fof(f9442,plain,
( ~ sQ356_spl
| ~ sQ14_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f162,f3904]) ).
fof(f9443,plain,
( ~ sQ295_spl
| ~ sQ14_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f162,f2935]) ).
fof(f9444,plain,
( ~ sQ297_spl
| ~ sQ14_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f162,f2955]) ).
fof(f9445,plain,
! [X0] :
( ~ sQ14_spl
| ~ greater(e_5,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f162,f63]) ).
fof(f9472,plain,
( ~ sQ69_spl
| ~ sQ375_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f4432,f355]) ).
fof(f9488,definition,
! [X0] :
( sQ446_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ446_spl])],[split_symbol_definition]) ).
fof(f9489,plain,
! [X0] :
( ~ sQ446_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f9488]) ).
fof(f9503,plain,
( ~ sQ80_spl
| ~ sQ445_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f9353,f396]) ).
fof(f9504,plain,
( ~ sQ80_spl
| ~ sQ317_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f3223,f396]) ).
fof(f9505,plain,
( ~ sQ80_spl
| ~ sQ317_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f9504,f354,f3222,f395]) ).
fof(f9506,plain,
( ~ sQ46_spl
| ~ sQ235_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f8320,f228,f2010,f277]) ).
fof(f9543,plain,
( ~ sQ80_spl
| ~ sQ70_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1925,f396]) ).
fof(f9544,plain,
( ~ sQ80_spl
| ~ sQ70_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f9543,f1286,f358,f395]) ).
fof(f9545,plain,
( ~ sQ74_spl
| ~ sQ427_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f371,f8188]) ).
fof(f9546,plain,
( ~ sQ74_spl
| ~ sQ427_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f9545]) ).
fof(f9547,plain,
( ~ sQ431_spl
| ~ sQ105_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f8081,f512,f480,f7741]) ).
fof(f9573,plain,
( ~ sQ80_spl
| ~ sQ317_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f3223,f396]) ).
fof(f9574,plain,
( ~ sQ27_spl
| ~ sQ77_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f5159,f207]) ).
fof(f9575,plain,
( ~ sQ27_spl
| ~ sQ77_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f9574,f712,f380,f206]) ).
fof(f9612,plain,
( ~ sQ373_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f4399,f96]) ).
fof(f9616,plain,
( ~ sQ441_spl
| ~ sQ93_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f437,f8876]) ).
fof(f9617,plain,
( ~ sQ440_spl
| ~ sQ93_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f437,f8829]) ).
fof(f9618,plain,
( ~ sQ424_spl
| ~ sQ93_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f437,f7296]) ).
fof(f9619,plain,
( ~ sQ408_spl
| ~ sQ93_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f437,f5943]) ).
fof(f9620,plain,
( ~ sQ276_spl
| ~ sQ93_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f437,f2729]) ).
fof(f9623,plain,
( ~ sQ278_spl
| ~ sQ93_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f437,f2740]) ).
fof(f9624,plain,
( ~ sQ280_spl
| ~ sQ93_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f437,f2813]) ).
fof(f9625,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ93_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f437,f698]) ).
fof(f9626,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ93_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f437,f697]) ).
fof(f9629,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ93_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f437,f2908]) ).
fof(f9630,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ93_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f437,f2909]) ).
fof(f9638,plain,
( ~ sQ8_spl
| ~ sQ93_spl
| sQ137_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f9625,f2490,f661,f436,f142]) ).
fof(f9639,plain,
( ~ sQ8_spl
| ~ sQ93_spl
| sQ183_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f9626,f2490,f1286,f436,f142]) ).
fof(f9642,plain,
( ~ sQ123_spl
| ~ sQ93_spl
| sQ184_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f9629,f4661,f1293,f436,f537]) ).
fof(f9643,plain,
( ~ sQ123_spl
| ~ sQ93_spl
| sQ139_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f9630,f4661,f682,f436,f537]) ).
fof(f9649,plain,
( ~ sQ229_spl
| ~ sQ8_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f143,f1909]) ).
fof(f9652,plain,
( ~ sQ227_spl
| ~ sQ8_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f143,f1883]) ).
fof(f9653,plain,
( ~ sQ230_spl
| ~ sQ8_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f143,f1915]) ).
fof(f9656,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ8_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f143,f2410]) ).
fof(f9657,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ8_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f143,f2409]) ).
fof(f9670,plain,
( ~ sQ93_spl
| ~ sQ8_spl
| sQ132_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f9656,f2490,f615,f142,f436]) ).
fof(f9671,plain,
( ~ sQ93_spl
| ~ sQ8_spl
| sQ139_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f9657,f2490,f682,f142,f436]) ).
fof(f9677,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ33_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1252,f143]) ).
fof(f9681,plain,
( ~ sQ8_spl
| ~ sQ33_spl
| sQ137_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f9677,f1254,f661,f228,f142]) ).
fof(f9685,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ33_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1253,f143]) ).
fof(f9689,plain,
( ~ sQ8_spl
| ~ sQ33_spl
| sQ148_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f9685,f1254,f773,f228,f142]) ).
fof(f9697,plain,
( ~ sQ182_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1265,f96]) ).
fof(f9698,plain,
( ~ sQ93_spl
| ~ sQ286_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f2852,f437]) ).
fof(f9699,plain,
( ~ sQ15_spl
| ~ sQ180_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f1255,f169]) ).
fof(f9700,plain,
( ~ sQ15_spl
| ~ sQ370_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f4330,f169]) ).
fof(f9702,plain,
( ~ sQ105_spl
| ~ sQ115_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f513,f3447]) ).
fof(f9705,plain,
( ~ sQ176_spl
| ~ sQ115_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f513,f1181]) ).
fof(f9706,plain,
( ~ sQ178_spl
| ~ sQ115_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f513,f1227]) ).
fof(f9707,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ115_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f513,f3449]) ).
fof(f9708,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ115_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f513,f3450]) ).
fof(f9722,plain,
( ~ sQ105_spl
| ~ sQ115_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f9702,f712,f512,f480]) ).
fof(f9723,plain,
( ~ sQ105_spl
| ~ sQ115_spl
| sQ143_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f9707,f3406,f712,f512,f480]) ).
fof(f9724,plain,
( ~ sQ105_spl
| ~ sQ115_spl
| sQ253_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f9708,f3406,f2271,f512,f480]) ).
fof(f9733,plain,
( ~ sQ365_spl
| ~ sQ55_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f6638,f142,f306,f4152]) ).
fof(f9735,plain,
( ~ sQ52_spl
| ~ sQ441_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f297,f9616]) ).
fof(f9736,plain,
( ~ sQ52_spl
| ~ sQ441_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f9735]) ).
fof(f9737,plain,
( ~ sQ358_spl
| ~ sQ50_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f4221,f206,f290,f3937]) ).
fof(f9767,plain,
( ~ sQ138_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f679,f96]) ).
fof(f9768,plain,
( ~ sQ395_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f5328,f96]) ).
fof(f9800,plain,
( ~ sQ445_spl
| ~ sQ95_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f444,f9353]) ).
fof(f9801,plain,
( ~ sQ443_spl
| ~ sQ95_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f444,f8958]) ).
fof(f9802,plain,
( ~ sQ439_spl
| ~ sQ95_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f444,f8792]) ).
fof(f9803,plain,
( ~ sQ429_spl
| ~ sQ95_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f444,f7565]) ).
fof(f9804,plain,
( ~ sQ416_spl
| ~ sQ95_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f444,f6591]) ).
fof(f9805,plain,
( ~ sQ415_spl
| ~ sQ95_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f444,f6587]) ).
fof(f9806,plain,
( ~ sQ274_spl
| ~ sQ95_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f444,f2653]) ).
fof(f9821,plain,
( ~ sQ443_spl
| ~ sQ95_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f9801,f306,f443,f8957]) ).
fof(f9834,plain,
( ~ sQ175_spl
| ~ sQ37_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f242,f1176]) ).
fof(f9835,plain,
( ~ sQ145_spl
| ~ sQ37_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f242,f756]) ).
fof(f9836,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ37_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f242,f5318]) ).
fof(f9838,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ37_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f242,f2761]) ).
fof(f9839,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ37_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f242,f2760]) ).
fof(f9840,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f242,f1199]) ).
fof(f9841,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f242,f1198]) ).
fof(f9851,plain,
( ~ sQ72_spl
| ~ sQ37_spl
| sQ130_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f9836,f1860,f584,f241,f364]) ).
fof(f9853,plain,
( ~ sQ82_spl
| ~ sQ37_spl
| sQ130_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f9838,f2733,f584,f241,f401]) ).
fof(f9854,plain,
( ~ sQ82_spl
| ~ sQ37_spl
| sQ139_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f9839,f2733,f682,f241,f401]) ).
fof(f9855,plain,
( ~ sQ37_spl
| sQ153_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f9840,f5982,f840,f241]) ).
fof(f9856,plain,
( ~ sQ37_spl
| sQ146_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f9841,f5982,f759,f241]) ).
fof(f9864,plain,
! [X0] :
( ~ sQ76_spl
| ~ greater(e_2,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f378,f63]) ).
fof(f9908,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ52_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f5885,f242]) ).
fof(f9911,plain,
( ~ sQ37_spl
| ~ sQ52_spl
| sQ143_spl
| sQ432_spl ),
inference(split_clause,[status(thm)],[f9908,f8332,f712,f296,f241]) ).
fof(f9914,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ52_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f5886,f242]) ).
fof(f9917,plain,
( ~ sQ37_spl
| ~ sQ52_spl
| sQ133_spl
| sQ432_spl ),
inference(split_clause,[status(thm)],[f9914,f8332,f619,f296,f241]) ).
fof(f9939,plain,
( ~ sQ37_spl
| ~ sQ140_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f701,f242]) ).
fof(f9952,plain,
( ~ sQ357_spl
| ~ sQ82_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f402,f3927]) ).
fof(f9954,plain,
( ~ sQ423_spl
| ~ sQ82_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f402,f7254]) ).
fof(f9959,plain,
( ~ sQ247_spl
| ~ sQ82_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f402,f2228]) ).
fof(f9960,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f402,f2761]) ).
fof(f9961,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f402,f2760]) ).
fof(f9962,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ82_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f402,f1199]) ).
fof(f9963,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ82_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f402,f1198]) ).
fof(f9964,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ82_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f402,f8475]) ).
fof(f9965,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ82_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f402,f8474]) ).
fof(f9973,plain,
( ~ sQ82_spl
| sQ196_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f9960,f4566,f1443,f401]) ).
fof(f9974,plain,
( ~ sQ82_spl
| sQ253_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f9961,f4566,f2271,f401]) ).
fof(f9975,plain,
( ~ sQ37_spl
| ~ sQ82_spl
| sQ134_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f9962,f2733,f640,f401,f241]) ).
fof(f9976,plain,
( ~ sQ37_spl
| ~ sQ82_spl
| sQ183_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f9963,f2733,f1286,f401,f241]) ).
fof(f9977,plain,
( ~ sQ27_spl
| ~ sQ82_spl
| sQ160_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f9964,f2851,f919,f401,f206]) ).
fof(f9978,plain,
( ~ sQ27_spl
| ~ sQ82_spl
| sQ184_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f9965,f2851,f1293,f401,f206]) ).
fof(f9984,plain,
( ~ sQ446_spl
| ~ sQ106_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f484,f9489]) ).
fof(f9985,plain,
( ~ sQ432_spl
| ~ sQ106_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f484,f8333]) ).
fof(f9986,plain,
( ~ sQ406_spl
| ~ sQ106_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f484,f5893]) ).
fof(f9987,plain,
( ~ sQ407_spl
| ~ sQ106_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f484,f5898]) ).
fof(f9988,plain,
( ~ sQ205_spl
| ~ sQ106_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f484,f1573]) ).
fof(f9989,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ106_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f484,f6575]) ).
fof(f9990,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ106_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f484,f6574]) ).
fof(f10002,plain,
( ~ sQ432_spl
| ~ sQ106_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f9985,f512,f483,f8332]) ).
fof(f10003,plain,
( ~ sQ86_spl
| ~ sQ106_spl
| sQ184_spl
| sQ445_spl ),
inference(split_clause,[status(thm)],[f9989,f9352,f1293,f483,f414]) ).
fof(f10004,plain,
( ~ sQ86_spl
| ~ sQ106_spl
| sQ191_spl
| sQ445_spl ),
inference(split_clause,[status(thm)],[f9990,f9352,f1374,f483,f414]) ).
fof(f10039,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ47_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1680,f402]) ).
fof(f10043,plain,
( ~ sQ82_spl
| ~ sQ47_spl
| sQ209_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f10039,f2861,f1659,f280,f401]) ).
fof(f10047,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ47_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1681,f402]) ).
fof(f10048,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ47_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1681,f242]) ).
fof(f10051,plain,
( ~ sQ82_spl
| ~ sQ47_spl
| sQ134_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f10047,f2861,f640,f280,f401]) ).
fof(f10052,plain,
( ~ sQ37_spl
| ~ sQ47_spl
| sQ153_spl
| sQ431_spl ),
inference(split_clause,[status(thm)],[f10048,f7741,f840,f280,f241]) ).
fof(f10055,plain,
( ~ sQ82_spl
| ~ sQ340_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f3463,f402]) ).
fof(f10056,plain,
( ~ sQ142_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f709,f96]) ).
fof(f10057,plain,
( ~ sQ226_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f1866,f96]) ).
fof(f10059,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ56_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1474,f484]) ).
fof(f10062,plain,
( ~ sQ106_spl
| ~ sQ56_spl
| sQ196_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f10059,f3348,f1443,f309,f483]) ).
fof(f10065,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ56_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1475,f484]) ).
fof(f10068,plain,
( ~ sQ106_spl
| ~ sQ56_spl
| sQ187_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f10065,f3348,f1341,f309,f483]) ).
fof(f10070,plain,
( ~ sQ106_spl
| ~ sQ206_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f1585,f484]) ).
fof(f10071,plain,
( ~ sQ82_spl
| ~ sQ250_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f2257,f402]) ).
fof(f10072,plain,
( ~ sQ37_spl
| ~ sQ349_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f3727,f242]) ).
fof(f10073,plain,
( ~ sQ106_spl
| ~ sQ307_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f3139,f484]) ).
fof(f10074,plain,
( ~ sQ106_spl
| ~ sQ320_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f3258,f484]) ).
fof(f10075,plain,
( ~ sQ115_spl
| ~ sQ110_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f3248,f513]) ).
fof(f10076,plain,
( ~ sQ115_spl
| ~ sQ110_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f10075,f661,f496,f512]) ).
fof(f10077,plain,
( ~ sQ416_spl
| ~ sQ95_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f9804,f309,f443,f6590]) ).
fof(f10078,plain,
( ~ sQ415_spl
| ~ sQ95_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f9805,f142,f443,f6586]) ).
fof(f10120,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ92_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2448,f242]) ).
fof(f10123,plain,
( ~ sQ37_spl
| ~ sQ92_spl
| sQ139_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f10120,f2423,f682,f433,f241]) ).
fof(f10126,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ92_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2449,f242]) ).
fof(f10129,plain,
( ~ sQ37_spl
| ~ sQ92_spl
| sQ133_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f10126,f2423,f619,f433,f241]) ).
fof(f10132,plain,
( ~ sQ37_spl
| ~ sQ47_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1678,f242]) ).
fof(f10133,plain,
( ~ sQ37_spl
| ~ sQ47_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f10132,f712,f280,f241]) ).
fof(f10137,plain,
( ~ sQ444_spl
| ~ sQ33_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f229,f9322]) ).
fof(f10138,plain,
( ~ sQ385_spl
| ~ sQ33_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f229,f4797]) ).
fof(f10165,plain,
( ~ sQ259_spl
| ~ sQ86_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f415,f2424]) ).
fof(f10166,plain,
( ~ sQ352_spl
| ~ sQ86_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f415,f3853]) ).
fof(f10167,plain,
( ~ sQ442_spl
| ~ sQ86_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f415,f8927]) ).
fof(f10168,plain,
( ~ sQ430_spl
| ~ sQ86_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f415,f7576]) ).
fof(f10169,plain,
( ~ sQ382_spl
| ~ sQ86_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f415,f4620]) ).
fof(f10170,plain,
( ~ sQ272_spl
| ~ sQ86_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f415,f2642]) ).
fof(f10171,plain,
( ~ sQ262_spl
| ~ sQ86_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f415,f2470]) ).
fof(f10174,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ86_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f415,f1475]) ).
fof(f10175,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ86_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f415,f1474]) ).
fof(f10178,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ86_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f415,f4388]) ).
fof(f10179,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ86_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f415,f4387]) ).
fof(f10189,definition,
! [X0] :
( sQ447_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ447_spl])],[split_symbol_definition]) ).
fof(f10190,plain,
! [X0] :
( ~ sQ447_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f10189]) ).
fof(f10192,plain,
( ~ sQ56_spl
| ~ sQ86_spl
| sQ159_spl
| sQ447_spl ),
inference(split_clause,[status(thm)],[f10174,f10189,f908,f414,f309]) ).
fof(f10193,plain,
( ~ sQ56_spl
| ~ sQ86_spl
| sQ209_spl
| sQ447_spl ),
inference(split_clause,[status(thm)],[f10175,f10189,f1659,f414,f309]) ).
fof(f10196,plain,
( ~ sQ76_spl
| ~ sQ86_spl
| sQ130_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f10178,f8791,f584,f414,f377]) ).
fof(f10197,plain,
( ~ sQ76_spl
| ~ sQ86_spl
| sQ184_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f10179,f8791,f1293,f414,f377]) ).
fof(f10203,plain,
( ~ sQ229_spl
| ~ sQ8_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f143,f1909]) ).
fof(f10204,plain,
( ~ sQ225_spl
| ~ sQ8_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f143,f1861]) ).
fof(f10205,plain,
( ~ sQ227_spl
| ~ sQ8_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f143,f1883]) ).
fof(f10206,plain,
( ~ sQ230_spl
| ~ sQ8_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f143,f1915]) ).
fof(f10248,plain,
( ~ sQ207_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f1597,f96]) ).
fof(f10249,plain,
( ~ sQ27_spl
| ~ sQ92_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2446,f207]) ).
fof(f10250,plain,
( ~ sQ27_spl
| ~ sQ92_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f10249,f560,f433,f206]) ).
fof(f10251,plain,
( ~ sQ382_spl
| ~ sQ96_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f7595,f306,f446,f4619]) ).
fof(f10289,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ96_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2243,f415]) ).
fof(f10292,plain,
( ~ sQ86_spl
| ~ sQ96_spl
| sQ253_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f10289,f2551,f2271,f446,f414]) ).
fof(f10295,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ96_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2244,f415]) ).
fof(f10298,plain,
( ~ sQ86_spl
| ~ sQ96_spl
| sQ159_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f10295,f2551,f908,f446,f414]) ).
fof(f10300,plain,
( ~ sQ86_spl
| ~ sQ260_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f2429,f415]) ).
fof(f10301,plain,
( ~ sQ86_spl
| ~ sQ264_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f2491,f415]) ).
fof(f10302,plain,
( ~ sQ86_spl
| ~ sQ264_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f10301,f241,f2490,f414]) ).
fof(f10352,plain,
( ~ sQ179_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f1239,f96]) ).
fof(f10356,plain,
( ~ sQ310_spl
| ~ sQ74_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f371,f3154]) ).
fof(f10357,plain,
( ~ sQ422_spl
| ~ sQ74_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f371,f7137]) ).
fof(f10359,plain,
( ~ sQ308_spl
| ~ sQ74_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f371,f3144]) ).
fof(f10360,plain,
( ~ sQ305_spl
| ~ sQ74_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f371,f3110]) ).
fof(f10388,plain,
( ~ sQ168_spl
| ~ sQ111_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f500,f1047]) ).
fof(f10390,plain,
( ~ sQ436_spl
| ~ sQ111_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f500,f8557]) ).
fof(f10392,plain,
( ~ sQ359_spl
| ~ sQ111_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f500,f3977]) ).
fof(f10393,plain,
( ~ sQ167_spl
| ~ sQ111_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f500,f1033]) ).
fof(f10409,plain,
( ~ sQ436_spl
| ~ sQ111_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f10390,f512,f499,f8556]) ).
fof(f10423,plain,
( ~ sQ379_spl
| ~ sQ54_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f303,f4602]) ).
fof(f10424,plain,
( ~ sQ413_spl
| ~ sQ54_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f303,f6293]) ).
fof(f10425,plain,
( ~ sQ380_spl
| ~ sQ54_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f303,f4607]) ).
fof(f10426,plain,
( ~ sQ381_spl
| ~ sQ54_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f303,f4612]) ).
fof(f10427,plain,
( ~ sQ327_spl
| ~ sQ54_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f303,f3344]) ).
fof(f10428,plain,
( ~ sQ328_spl
| ~ sQ54_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f303,f3349]) ).
fof(f10429,plain,
( ~ sQ337_spl
| ~ sQ54_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f303,f3423]) ).
fof(f10430,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ54_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f303,f1237]) ).
fof(f10431,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ54_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f303,f1236]) ).
fof(f10432,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f303,f1530]) ).
fof(f10433,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f303,f1529]) ).
fof(f10445,plain,
( ~ sQ380_spl
| ~ sQ54_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f10425,f206,f302,f4606]) ).
fof(f10446,plain,
( ~ sQ381_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10426,f96]) ).
fof(f10447,plain,
( ~ sQ381_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f10446]) ).
fof(f10448,definition,
! [X0] :
( sQ448_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ448_spl])],[split_symbol_definition]) ).
fof(f10449,plain,
! [X0] :
( ~ sQ448_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f10448]) ).
fof(f10451,plain,
( ~ sQ34_spl
| ~ sQ54_spl
| sQ135_spl
| sQ448_spl ),
inference(split_clause,[status(thm)],[f10430,f10448,f647,f302,f231]) ).
fof(f10452,plain,
( ~ sQ34_spl
| ~ sQ54_spl
| sQ136_spl
| sQ448_spl ),
inference(split_clause,[status(thm)],[f10431,f10448,f654,f302,f231]) ).
fof(f10453,plain,
( ~ sQ54_spl
| sQ146_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f10432,f4249,f759,f302]) ).
fof(f10454,plain,
( ~ sQ54_spl
| sQ196_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f10433,f4249,f1443,f302]) ).
fof(f10461,plain,
( ~ sQ241_spl
| ~ sQ107_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f487,f2088]) ).
fof(f10462,plain,
( ~ sQ202_spl
| ~ sQ107_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f487,f1517]) ).
fof(f10463,plain,
( ~ sQ433_spl
| ~ sQ107_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f487,f8338]) ).
fof(f10464,plain,
( ~ sQ418_spl
| ~ sQ107_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f487,f6818]) ).
fof(f10465,plain,
( ~ sQ212_spl
| ~ sQ107_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f487,f1725]) ).
fof(f10466,plain,
( ~ sQ350_spl
| ~ sQ107_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f487,f3804]) ).
fof(f10467,plain,
( ~ sQ362_spl
| ~ sQ107_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f487,f4107]) ).
fof(f10468,plain,
( ~ sQ232_spl
| ~ sQ107_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f487,f1938]) ).
fof(f10469,plain,
( ~ sQ197_spl
| ~ sQ107_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f487,f1462]) ).
fof(f10470,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ107_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f487,f2761]) ).
fof(f10471,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ107_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f487,f2760]) ).
fof(f10472,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ107_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f487,f1199]) ).
fof(f10473,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ107_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f487,f1198]) ).
fof(f10474,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ107_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f487,f8475]) ).
fof(f10475,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ107_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f487,f8474]) ).
fof(f10476,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f487,f103]) ).
fof(f10477,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f487,f102]) ).
fof(f10478,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f487,f95]) ).
fof(f10479,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f487,f93]) ).
fof(f10480,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f487,f91]) ).
fof(f10481,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f487,f100]) ).
fof(f10482,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f487,f98]) ).
fof(f10483,plain,
( ~ sQ418_spl
| ~ sQ107_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f10464,f537,f486,f6817]) ).
fof(f10484,plain,
( ~ sQ82_spl
| ~ sQ107_spl
| sQ209_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f10470,f3452,f1659,f486,f401]) ).
fof(f10485,plain,
( ~ sQ82_spl
| ~ sQ107_spl
| sQ191_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f10471,f3452,f1374,f486,f401]) ).
fof(f10486,plain,
( ~ sQ37_spl
| ~ sQ107_spl
| sQ184_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f10472,f3353,f1293,f486,f241]) ).
fof(f10487,plain,
( ~ sQ37_spl
| ~ sQ107_spl
| sQ160_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f10473,f3353,f919,f486,f241]) ).
fof(f10488,plain,
( ~ sQ27_spl
| ~ sQ107_spl
| sQ183_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f10474,f3401,f1286,f486,f206]) ).
fof(f10489,plain,
( ~ sQ27_spl
| ~ sQ107_spl
| sQ134_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f10475,f3401,f640,f486,f206]) ).
fof(f10490,definition,
! [X0] :
( sQ449_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ449_spl])],[split_symbol_definition]) ).
fof(f10491,plain,
! [X0] :
( ~ sQ449_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f10490]) ).
fof(f10493,plain,
( ~ sQ107_spl
| sQ187_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f10476,f10490,f1341,f486]) ).
fof(f10494,plain,
( ~ sQ107_spl
| sQ136_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f10477,f10490,f654,f486]) ).
fof(f10495,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ107_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f10481,f242]) ).
fof(f10496,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f10481,f487]) ).
fof(f10497,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ107_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f10481,f207]) ).
fof(f10498,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f10481,f96]) ).
fof(f10499,plain,
( ~ sQ37_spl
| ~ sQ107_spl
| sQ143_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f10495,f3353,f712,f486,f241]) ).
fof(f10500,plain,
( ~ sQ107_spl
| sQ196_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f10496,f3492,f1443,f486]) ).
fof(f10501,plain,
( ~ sQ27_spl
| ~ sQ107_spl
| sQ130_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f10497,f3401,f584,f486,f206]) ).
fof(f10502,plain,
( ~ sQ107_spl
| sQ129_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f10498,f10490,f580,f486]) ).
fof(f10503,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ107_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f10482,f242]) ).
fof(f10504,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f10482,f487]) ).
fof(f10505,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ107_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f10482,f207]) ).
fof(f10506,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f10482,f96]) ).
fof(f10507,plain,
( ~ sQ37_spl
| ~ sQ107_spl
| sQ127_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f10503,f3353,f560,f486,f241]) ).
fof(f10508,plain,
( ~ sQ107_spl
| sQ253_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f10504,f3492,f2271,f486]) ).
fof(f10509,plain,
( ~ sQ27_spl
| ~ sQ107_spl
| sQ139_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f10505,f3401,f682,f486,f206]) ).
fof(f10510,plain,
( ~ sQ107_spl
| sQ126_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f10506,f10490,f556,f486]) ).
fof(f10511,plain,
( ~ sQ54_spl
| ~ sQ449_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f10491,f303]) ).
fof(f10512,plain,
( ~ sQ54_spl
| ~ sQ329_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f3354,f303]) ).
fof(f10513,plain,
( ~ sQ54_spl
| ~ sQ333_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f3402,f303]) ).
fof(f10520,plain,
( ~ sQ248_spl
| ~ sQ82_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f402,f2247]) ).
fof(f10521,plain,
( ~ sQ250_spl
| ~ sQ82_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f402,f2257]) ).
fof(f10522,plain,
( ~ sQ319_spl
| ~ sQ82_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f402,f3253]) ).
fof(f10523,plain,
( ~ sQ423_spl
| ~ sQ82_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f402,f7254]) ).
fof(f10524,plain,
( ~ sQ411_spl
| ~ sQ82_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f402,f6005]) ).
fof(f10526,plain,
( ~ sQ257_spl
| ~ sQ82_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f402,f2414]) ).
fof(f10527,plain,
( ~ sQ293_spl
| ~ sQ82_spl
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f402,f2911]) ).
fof(f10528,plain,
( ~ sQ247_spl
| ~ sQ82_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f402,f2228]) ).
fof(f10557,plain,
( ~ sQ214_spl
| ~ sQ55_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f307,f1757]) ).
fof(f10558,plain,
( ~ sQ316_spl
| ~ sQ55_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f307,f3218]) ).
fof(f10559,plain,
( ~ sQ213_spl
| ~ sQ55_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f307,f1730]) ).
fof(f10560,plain,
( ~ sQ438_spl
| ~ sQ55_spl
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f307,f8659]) ).
fof(f10561,plain,
( ~ sQ417_spl
| ~ sQ55_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f307,f6758]) ).
fof(f10562,plain,
( ~ sQ211_spl
| ~ sQ55_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f307,f1717]) ).
fof(f10590,plain,
( ~ sQ448_spl
| ~ sQ46_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f278,f10449]) ).
fof(f10592,plain,
( ~ sQ390_spl
| ~ sQ46_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f278,f5059]) ).
fof(f10593,plain,
( ~ sQ446_spl
| ~ sQ46_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f278,f9489]) ).
fof(f10594,plain,
( ~ sQ406_spl
| ~ sQ46_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f278,f5893]) ).
fof(f10595,plain,
( ~ sQ407_spl
| ~ sQ46_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f278,f5898]) ).
fof(f10596,plain,
( ~ sQ205_spl
| ~ sQ46_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f278,f1573]) ).
fof(f10626,plain,
( ~ sQ397_spl
| ~ sQ96_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f447,f5461]) ).
fof(f10627,plain,
( ~ sQ282_spl
| ~ sQ96_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f447,f2824]) ).
fof(f10628,plain,
( ~ sQ265_spl
| ~ sQ96_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f447,f2496]) ).
fof(f10629,plain,
( ~ sQ442_spl
| ~ sQ96_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f447,f8927]) ).
fof(f10630,plain,
( ~ sQ430_spl
| ~ sQ96_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f447,f7576]) ).
fof(f10632,plain,
( ~ sQ262_spl
| ~ sQ96_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f447,f2470]) ).
fof(f10661,plain,
( ~ sQ267_spl
| ~ sQ90_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f428,f2557]) ).
fof(f10662,plain,
( ~ sQ353_spl
| ~ sQ90_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f428,f3878]) ).
fof(f10664,plain,
( ~ sQ269_spl
| ~ sQ90_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f428,f2567]) ).
fof(f10665,plain,
( ~ sQ447_spl
| ~ sQ90_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f428,f10190]) ).
fof(f10666,plain,
( ~ sQ445_spl
| ~ sQ90_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f428,f9353]) ).
fof(f10667,plain,
( ~ sQ439_spl
| ~ sQ90_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f428,f8792]) ).
fof(f10668,plain,
( ~ sQ429_spl
| ~ sQ90_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f428,f7565]) ).
fof(f10669,plain,
( ~ sQ274_spl
| ~ sQ90_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f428,f2653]) ).
fof(f10685,plain,
( ~ sQ445_spl
| ~ sQ90_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f10666,f302,f427,f9352]) ).
fof(f10686,plain,
( ~ sQ429_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10668,f96]) ).
fof(f10687,plain,
( ~ sQ429_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f10686]) ).
fof(f10701,plain,
( ~ sQ364_spl
| ~ sQ65_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f343,f4148]) ).
fof(f10702,plain,
( ~ sQ367_spl
| ~ sQ65_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f343,f4171]) ).
fof(f10703,plain,
( ~ sQ428_spl
| ~ sQ65_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f343,f7476]) ).
fof(f10704,plain,
( ~ sQ421_spl
| ~ sQ65_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f343,f7089]) ).
fof(f10705,plain,
( ~ sQ402_spl
| ~ sQ65_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f343,f5619]) ).
fof(f10706,plain,
( ~ sQ186_spl
| ~ sQ65_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f343,f1335]) ).
fof(f10722,plain,
( ~ sQ428_spl
| ~ sQ65_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f10703,f370,f342,f7475]) ).
fof(f10736,plain,
( ~ sQ361_spl
| ~ sQ18_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f178,f4098]) ).
fof(f10737,plain,
( ~ sQ242_spl
| ~ sQ18_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f178,f2093]) ).
fof(f10738,plain,
( ~ sQ444_spl
| ~ sQ18_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f178,f9322]) ).
fof(f10739,plain,
( ~ sQ385_spl
| ~ sQ18_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f178,f4797]) ).
fof(f10740,plain,
( ~ sQ347_spl
| ~ sQ18_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f178,f3678]) ).
fof(f10741,plain,
( ~ sQ240_spl
| ~ sQ18_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f178,f2083]) ).
fof(f10742,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ18_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f178,f2548]) ).
fof(f10743,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ18_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f178,f2547]) ).
fof(f10744,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f178,f985]) ).
fof(f10745,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f178,f986]) ).
fof(f10748,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ18_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f178,f2908]) ).
fof(f10749,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ18_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f178,f2909]) ).
fof(f10757,plain,
( ~ sQ444_spl
| ~ sQ18_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f10738,f206,f177,f9321]) ).
fof(f10758,plain,
( ~ sQ88_spl
| ~ sQ18_spl
| sQ135_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f10742,f2556,f647,f177,f420]) ).
fof(f10759,plain,
( ~ sQ88_spl
| ~ sQ18_spl
| sQ126_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f10743,f2556,f556,f177,f420]) ).
fof(f10760,plain,
( ~ sQ18_spl
| sQ141_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f10744,f1058,f703,f177]) ).
fof(f10761,plain,
( ~ sQ18_spl
| sQ146_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f10745,f1058,f759,f177]) ).
fof(f10764,plain,
( ~ sQ123_spl
| ~ sQ18_spl
| sQ148_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f10748,f3976,f773,f177,f537]) ).
fof(f10765,plain,
( ~ sQ123_spl
| ~ sQ18_spl
| sQ139_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f10749,f3976,f682,f177,f537]) ).
fof(f10771,plain,
( ~ sQ375_spl
| ~ sQ34_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f232,f4432]) ).
fof(f10772,plain,
( ~ sQ434_spl
| ~ sQ34_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f232,f8398]) ).
fof(f10773,plain,
( ~ sQ426_spl
| ~ sQ34_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f232,f7439]) ).
fof(f10774,plain,
( ~ sQ404_spl
| ~ sQ34_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f232,f5701]) ).
fof(f10775,plain,
( ~ sQ314_spl
| ~ sQ34_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f232,f3192]) ).
fof(f10776,plain,
( ~ sQ325_spl
| ~ sQ34_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f232,f3295]) ).
fof(f10777,plain,
( ~ sQ321_spl
| ~ sQ34_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f232,f3263]) ).
fof(f10778,plain,
( ~ sQ318_spl
| ~ sQ34_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f232,f3229]) ).
fof(f10779,plain,
( ~ sQ323_spl
| ~ sQ34_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f232,f3273]) ).
fof(f10780,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f232,f1237]) ).
fof(f10781,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f232,f1236]) ).
fof(f10782,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ34_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f232,f1530]) ).
fof(f10783,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ34_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f232,f1529]) ).
fof(f10784,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ34_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f232,f1857]) ).
fof(f10785,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ34_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f232,f1858]) ).
fof(f10795,plain,
( ~ sQ323_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10779,f96]) ).
fof(f10796,plain,
( ~ sQ323_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f10795]) ).
fof(f10797,plain,
( ~ sQ34_spl
| sQ153_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f10780,f5495,f840,f231]) ).
fof(f10798,plain,
( ~ sQ34_spl
| sQ141_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f10781,f5495,f703,f231]) ).
fof(f10799,plain,
( ~ sQ54_spl
| ~ sQ34_spl
| sQ133_spl
| sQ448_spl ),
inference(split_clause,[status(thm)],[f10782,f10448,f619,f231,f302]) ).
fof(f10800,plain,
( ~ sQ54_spl
| ~ sQ34_spl
| sQ129_spl
| sQ448_spl ),
inference(split_clause,[status(thm)],[f10783,f10448,f580,f231,f302]) ).
fof(f10801,plain,
( ~ sQ74_spl
| ~ sQ34_spl
| sQ132_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f10784,f4147,f615,f231,f370]) ).
fof(f10802,plain,
( ~ sQ74_spl
| ~ sQ34_spl
| sQ130_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f10785,f4147,f584,f231,f370]) ).
fof(f10809,plain,
( ~ sQ338_spl
| ~ sQ88_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f421,f3453]) ).
fof(f10811,plain,
( ~ sQ277_spl
| ~ sQ88_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f421,f2734]) ).
fof(f10812,plain,
( ~ sQ286_spl
| ~ sQ88_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f421,f2852]) ).
fof(f10813,plain,
( ~ sQ440_spl
| ~ sQ88_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f421,f8829]) ).
fof(f10814,plain,
( ~ sQ424_spl
| ~ sQ88_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f421,f7296]) ).
fof(f10815,plain,
( ~ sQ408_spl
| ~ sQ88_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f421,f5943]) ).
fof(f10816,plain,
( ~ sQ276_spl
| ~ sQ88_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f421,f2729]) ).
fof(f10817,plain,
( ~ sQ279_spl
| ~ sQ88_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f421,f2808]) ).
fof(f10818,plain,
( ~ sQ275_spl
| ~ sQ88_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f421,f2724]) ).
fof(f10819,plain,
( ~ sQ278_spl
| ~ sQ88_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f421,f2740]) ).
fof(f10820,plain,
( ~ sQ280_spl
| ~ sQ88_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f421,f2813]) ).
fof(f10821,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f421,f2548]) ).
fof(f10822,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f421,f2547]) ).
fof(f10825,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ88_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f421,f698]) ).
fof(f10826,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ88_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f421,f697]) ).
fof(f10836,plain,
( ~ sQ279_spl
| ~ sQ88_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f10817,f241,f420,f2807]) ).
fof(f10837,plain,
( ~ sQ280_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10820,f96]) ).
fof(f10838,plain,
( ~ sQ280_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f10837]) ).
fof(f10839,plain,
( ~ sQ88_spl
| sQ153_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f10821,f5376,f840,f420]) ).
fof(f10840,plain,
( ~ sQ88_spl
| sQ253_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f10822,f5376,f2271,f420]) ).
fof(f10843,plain,
( ~ sQ8_spl
| ~ sQ88_spl
| sQ159_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f10825,f2646,f908,f420,f142]) ).
fof(f10844,plain,
( ~ sQ8_spl
| ~ sQ88_spl
| sQ183_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f10826,f2646,f1286,f420,f142]) ).
fof(f10849,plain,
( ~ sQ27_spl
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f8468,f56]) ).
fof(f10850,plain,
( ~ sQ27_spl
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f8468,f53]) ).
fof(f10851,plain,
( ~ sQ123_spl
| ~ next(e_5,e_3) ),
inference(resolution,[status(thm)],[f2900,f59]) ).
fof(f10852,plain,
( ~ sQ123_spl
| ~ next(e_5,e_2) ),
inference(resolution,[status(thm)],[f2900,f57]) ).
fof(f10853,plain,
( ~ sQ123_spl
| ~ next(e_5,e_1) ),
inference(resolution,[status(thm)],[f2900,f54]) ).
fof(f10854,plain,
( ~ sQ14_spl
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f545,f61]) ).
fof(f10855,plain,
( ~ sQ14_spl
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f545,f60]) ).
fof(f10856,plain,
( ~ sQ14_spl
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f545,f58]) ).
fof(f10857,plain,
( ~ sQ14_spl
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f545,f55]) ).
fof(f10858,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10854,f50]) ).
fof(f10859,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f10858]) ).
fof(f10860,plain,
( ~ sQ232_spl
| ~ sQ107_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f10468,f521,f486,f1937]) ).
fof(f10861,plain,
( ~ sQ276_spl
| ~ sQ88_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f10816,f222,f420,f2728]) ).
fof(f10862,plain,
( ~ sQ447_spl
| ~ sQ90_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f10665,f296,f427,f10189]) ).
fof(f10863,plain,
( ~ sQ350_spl
| ~ sQ107_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f10466,f531,f486,f3803]) ).
fof(f10864,plain,
( ~ sQ438_spl
| ~ sQ55_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f10560,f145,f306,f8658]) ).
fof(f10893,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ110_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f3251,f428]) ).
fof(f10895,plain,
( ~ sQ90_spl
| ~ sQ110_spl
| sQ139_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f10893,f3267,f682,f496,f427]) ).
fof(f10901,plain,
( ~ sQ227_spl
| ~ sQ118_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f522,f1883]) ).
fof(f10902,plain,
( ~ sQ230_spl
| ~ sQ118_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f522,f1915]) ).
fof(f10920,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ110_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f3250,f428]) ).
fof(f10922,plain,
( ~ sQ90_spl
| ~ sQ110_spl
| sQ187_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f10920,f3267,f1341,f496,f427]) ).
fof(f10928,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ70_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1928,f428]) ).
fof(f10930,plain,
( ~ sQ90_spl
| ~ sQ70_spl
| sQ143_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f10928,f2818,f712,f358,f427]) ).
fof(f10932,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ70_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1927,f428]) ).
fof(f10934,plain,
( ~ sQ90_spl
| ~ sQ70_spl
| sQ183_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f10932,f2818,f1286,f358,f427]) ).
fof(f10944,plain,
( ~ sQ128_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f578,f96]) ).
fof(f10945,plain,
( ~ sQ296_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f2940,f96]) ).
fof(f10947,plain,
( ~ sQ118_spl
| ~ sQ231_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f1931,f522]) ).
fof(f10949,plain,
( ~ sQ218_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f1777,f96]) ).
fof(f10950,plain,
( ~ sQ138_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f679,f96]) ).
fof(f10951,plain,
( ~ sQ174_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f1158,f96]) ).
fof(f10976,plain,
( ~ sQ96_spl
| ~ sQ322_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f3268,f447]) ).
fof(f10997,plain,
( ~ sQ90_spl
| ~ sQ270_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f2586,f428]) ).
fof(f11000,plain,
( ~ sQ90_spl
| ~ sQ287_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f2857,f428]) ).
fof(f11001,plain,
( ~ sQ96_spl
| ~ sQ263_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f2486,f447]) ).
fof(f11002,plain,
( ~ sQ96_spl
| ~ sQ281_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f2819,f447]) ).
fof(f11003,plain,
( ~ sQ96_spl
| ~ sQ81_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2779,f447]) ).
fof(f11004,plain,
( ~ sQ96_spl
| ~ sQ81_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f11003,f580,f398,f446]) ).
fof(f11008,plain,
( ~ sQ391_spl
| ~ sQ79_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f387,f5166]) ).
fof(f11010,plain,
( ~ sQ295_spl
| ~ sQ79_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f387,f2935]) ).
fof(f11011,plain,
( ~ sQ297_spl
| ~ sQ79_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f387,f2955]) ).
fof(f11042,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ98_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2201,f522]) ).
fof(f11044,plain,
( ~ sQ118_spl
| ~ sQ98_spl
| sQ187_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f11042,f3133,f1341,f452,f521]) ).
fof(f11046,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ98_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2200,f522]) ).
fof(f11048,plain,
( ~ sQ118_spl
| ~ sQ98_spl
| sQ139_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f11046,f3133,f682,f452,f521]) ).
fof(f11071,plain,
( ~ sQ207_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f1597,f96]) ).
fof(f11072,plain,
( ~ sQ90_spl
| ~ sQ50_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1580,f428]) ).
fof(f11073,plain,
( ~ sQ90_spl
| ~ sQ50_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f11072,f1659,f290,f427]) ).
fof(f11074,plain,
( ~ sQ439_spl
| ~ sQ95_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f9802,f158,f443,f8791]) ).
fof(f11075,plain,
( ~ sQ293_spl
| ~ sQ82_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f10527,f386,f401,f2910]) ).
fof(f11076,plain,
( ~ sQ411_spl
| ~ sQ82_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f10524,f358,f401,f6004]) ).
fof(f11127,plain,
( ~ sQ174_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f1158,f96]) ).
fof(f11131,plain,
( ~ sQ323_spl
| ~ sQ19_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f181,f3273]) ).
fof(f11132,plain,
( ~ sQ434_spl
| ~ sQ19_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f181,f8398]) ).
fof(f11133,plain,
( ~ sQ426_spl
| ~ sQ19_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f181,f7439]) ).
fof(f11134,plain,
( ~ sQ404_spl
| ~ sQ19_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f181,f5701]) ).
fof(f11136,plain,
( ~ sQ325_spl
| ~ sQ19_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f181,f3295]) ).
fof(f11137,plain,
( ~ sQ321_spl
| ~ sQ19_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f181,f3263]) ).
fof(f11138,plain,
( ~ sQ318_spl
| ~ sQ19_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f181,f3229]) ).
fof(f11139,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ19_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f181,f1156]) ).
fof(f11140,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ19_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f181,f1155]) ).
fof(f11154,plain,
( ~ sQ39_spl
| ~ sQ19_spl
| sQ135_spl
| sQ436_spl ),
inference(split_clause,[status(thm)],[f11139,f8556,f647,f180,f247]) ).
fof(f11155,plain,
( ~ sQ39_spl
| ~ sQ19_spl
| sQ132_spl
| sQ436_spl ),
inference(split_clause,[status(thm)],[f11140,f8556,f615,f180,f247]) ).
fof(f11167,plain,
( ~ sQ216_spl
| ~ sQ13_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f159,f1767]) ).
fof(f11168,plain,
( ~ sQ220_spl
| ~ sQ13_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f159,f1807]) ).
fof(f11169,plain,
( ~ sQ223_spl
| ~ sQ13_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f159,f1839]) ).
fof(f11198,plain,
( ~ sQ368_spl
| ~ sQ110_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f497,f4176]) ).
fof(f11200,plain,
( ~ sQ421_spl
| ~ sQ110_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f497,f7089]) ).
fof(f11201,plain,
( ~ sQ402_spl
| ~ sQ110_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f497,f5619]) ).
fof(f11202,plain,
( ~ sQ186_spl
| ~ sQ110_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f497,f1335]) ).
fof(f11231,plain,
( ~ sQ304_spl
| ~ sQ9_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f146,f3104]) ).
fof(f11232,plain,
( ~ sQ422_spl
| ~ sQ9_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f146,f7137]) ).
fof(f11233,plain,
( ~ sQ301_spl
| ~ sQ9_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f146,f3073]) ).
fof(f11234,plain,
( ~ sQ308_spl
| ~ sQ9_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f146,f3144]) ).
fof(f11235,plain,
( ~ sQ305_spl
| ~ sQ9_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f146,f3110]) ).
fof(f11264,plain,
( ~ sQ178_spl
| ~ sQ70_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f359,f1227]) ).
fof(f11265,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ70_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f359,f2347]) ).
fof(f11266,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ70_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f359,f2348]) ).
fof(f11267,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ70_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f359,f1582]) ).
fof(f11268,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ70_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f359,f1583]) ).
fof(f11271,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ70_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f359,f3250]) ).
fof(f11272,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ70_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f359,f3251]) ).
fof(f11280,definition,
! [X0] :
( sQ450_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ450_spl])],[split_symbol_definition]) ).
fof(f11281,plain,
! [X0] :
( ~ sQ450_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f11280]) ).
fof(f11283,plain,
( ~ sQ95_spl
| ~ sQ70_spl
| sQ139_spl
| sQ450_spl ),
inference(split_clause,[status(thm)],[f11265,f11280,f682,f358,f443]) ).
fof(f11284,plain,
( ~ sQ95_spl
| ~ sQ70_spl
| sQ136_spl
| sQ450_spl ),
inference(split_clause,[status(thm)],[f11266,f11280,f654,f358,f443]) ).
fof(f11285,plain,
( ~ sQ50_spl
| ~ sQ70_spl
| sQ143_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f11267,f5058,f712,f358,f290]) ).
fof(f11286,plain,
( ~ sQ50_spl
| ~ sQ70_spl
| sQ160_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f11268,f5058,f919,f358,f290]) ).
fof(f11289,plain,
( ~ sQ110_spl
| ~ sQ70_spl
| sQ137_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f11271,f3262,f661,f358,f496]) ).
fof(f11290,plain,
( ~ sQ110_spl
| ~ sQ70_spl
| sQ191_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f11272,f3262,f1374,f358,f496]) ).
fof(f11293,plain,
( ~ sQ70_spl
| ~ sQ217_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f1772,f359]) ).
fof(f11294,plain,
( ~ sQ9_spl
| ~ sQ39_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1152,f146]) ).
fof(f11295,plain,
( ~ sQ9_spl
| ~ sQ39_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f11294,f773,f247,f145]) ).
fof(f11336,plain,
( ~ sQ254_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f2276,f96]) ).
fof(f11337,plain,
( ~ sQ70_spl
| ~ sQ176_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f1181,f359]) ).
fof(f11338,plain,
( ~ sQ110_spl
| ~ sQ367_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f4171,f497]) ).
fof(f11339,plain,
( ~ sQ110_spl
| ~ sQ428_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f7476,f497]) ).
fof(f11340,plain,
( ~ sQ182_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1265,f96]) ).
fof(f11341,plain,
( ~ sQ207_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f1597,f96]) ).
fof(f11346,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ121_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f532,f6575]) ).
fof(f11347,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ121_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f532,f6574]) ).
fof(f11348,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ121_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f532,f1475]) ).
fof(f11349,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ121_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f532,f1474]) ).
fof(f11350,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f532,f2932]) ).
fof(f11351,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f532,f2931]) ).
fof(f11359,plain,
( ~ sQ86_spl
| ~ sQ121_spl
| sQ184_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f11346,f3877,f1293,f531,f414]) ).
fof(f11360,plain,
( ~ sQ86_spl
| ~ sQ121_spl
| sQ127_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f11347,f3877,f560,f531,f414]) ).
fof(f11361,definition,
! [X0] :
( sQ451_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ451_spl])],[split_symbol_definition]) ).
fof(f11362,plain,
! [X0] :
( ~ sQ451_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f11361]) ).
fof(f11364,plain,
( ~ sQ56_spl
| ~ sQ121_spl
| sQ187_spl
| sQ451_spl ),
inference(split_clause,[status(thm)],[f11348,f11361,f1341,f531,f309]) ).
fof(f11365,plain,
( ~ sQ56_spl
| ~ sQ121_spl
| sQ130_spl
| sQ451_spl ),
inference(split_clause,[status(thm)],[f11349,f11361,f584,f531,f309]) ).
fof(f11366,plain,
( ~ sQ121_spl
| sQ253_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f11350,f3882,f2271,f531]) ).
fof(f11367,plain,
( ~ sQ121_spl
| sQ153_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f11351,f3882,f840,f531]) ).
fof(f11370,plain,
( ~ sQ222_spl
| ~ sQ66_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f346,f1833]) ).
fof(f11371,plain,
( ~ sQ168_spl
| ~ sQ66_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f346,f1047]) ).
fof(f11372,plain,
( ~ sQ185_spl
| ~ sQ66_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f346,f1329]) ).
fof(f11373,plain,
( ~ sQ359_spl
| ~ sQ66_spl
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f346,f3977]) ).
fof(f11374,plain,
( ~ sQ167_spl
| ~ sQ66_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f346,f1033]) ).
fof(f11375,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ66_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f346,f6575]) ).
fof(f11376,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ66_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f346,f6574]) ).
fof(f11377,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ66_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f346,f1475]) ).
fof(f11378,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ66_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f346,f1474]) ).
fof(f11379,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ66_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f346,f2932]) ).
fof(f11380,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ66_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f346,f2931]) ).
fof(f11381,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f346,f103]) ).
fof(f11382,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f346,f102]) ).
fof(f11383,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f346,f95]) ).
fof(f11384,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f346,f93]) ).
fof(f11385,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f346,f91]) ).
fof(f11386,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f346,f100]) ).
fof(f11387,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f346,f98]) ).
fof(f11388,plain,
( ~ sQ359_spl
| ~ sQ66_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f11373,f386,f345,f3976]) ).
fof(f11389,definition,
! [X0] :
( sQ452_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition]) ).
fof(f11390,plain,
! [X0] :
( ~ sQ452_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f11389]) ).
fof(f11392,plain,
( ~ sQ86_spl
| ~ sQ66_spl
| sQ134_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f11375,f11389,f640,f345,f414]) ).
fof(f11393,plain,
( ~ sQ86_spl
| ~ sQ66_spl
| sQ126_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f11376,f11389,f556,f345,f414]) ).
fof(f11394,plain,
( ~ sQ56_spl
| ~ sQ66_spl
| sQ136_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f11377,f2087,f654,f345,f309]) ).
fof(f11395,plain,
( ~ sQ56_spl
| ~ sQ66_spl
| sQ129_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f11378,f2087,f580,f345,f309]) ).
fof(f11396,definition,
! [X0] :
( sQ453_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition]) ).
fof(f11397,plain,
! [X0] :
( ~ sQ453_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f11396]) ).
fof(f11399,plain,
( ~ sQ121_spl
| ~ sQ66_spl
| sQ191_spl
| sQ453_spl ),
inference(split_clause,[status(thm)],[f11379,f11396,f1374,f345,f531]) ).
fof(f11400,plain,
( ~ sQ121_spl
| ~ sQ66_spl
| sQ148_spl
| sQ453_spl ),
inference(split_clause,[status(thm)],[f11380,f11396,f773,f345,f531]) ).
fof(f11401,definition,
! [X0] :
( sQ454_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition]) ).
fof(f11402,plain,
! [X0] :
( ~ sQ454_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f11401]) ).
fof(f11404,plain,
( ~ sQ66_spl
| sQ160_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f11381,f11401,f919,f345]) ).
fof(f11405,plain,
( ~ sQ66_spl
| sQ132_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f11382,f11401,f615,f345]) ).
fof(f11406,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f11386,f346]) ).
fof(f11407,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ66_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f11386,f532]) ).
fof(f11408,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f11386,f96]) ).
fof(f11409,plain,
( ~ sQ66_spl
| sQ141_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f11406,f3686,f703,f345]) ).
fof(f11410,plain,
( ~ sQ121_spl
| ~ sQ66_spl
| sQ159_spl
| sQ453_spl ),
inference(split_clause,[status(thm)],[f11407,f11396,f908,f345,f531]) ).
fof(f11411,plain,
( ~ sQ66_spl
| sQ137_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f11408,f11401,f661,f345]) ).
fof(f11412,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f11387,f346]) ).
fof(f11413,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ66_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f11387,f532]) ).
fof(f11414,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f11387,f96]) ).
fof(f11415,plain,
( ~ sQ66_spl
| sQ196_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f11412,f3686,f1443,f345]) ).
fof(f11416,plain,
( ~ sQ121_spl
| ~ sQ66_spl
| sQ209_spl
| sQ453_spl ),
inference(split_clause,[status(thm)],[f11413,f11396,f1659,f345,f531]) ).
fof(f11417,plain,
( ~ sQ66_spl
| sQ143_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f11414,f11401,f712,f345]) ).
fof(f11423,plain,
( ~ sQ412_spl
| ~ sQ50_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f291,f6038]) ).
fof(f11424,plain,
( ~ sQ214_spl
| ~ sQ50_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f291,f1757]) ).
fof(f11425,plain,
( ~ sQ210_spl
| ~ sQ50_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f291,f1711]) ).
fof(f11427,plain,
( ~ sQ417_spl
| ~ sQ50_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f291,f6758]) ).
fof(f11428,plain,
( ~ sQ211_spl
| ~ sQ50_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f291,f1717]) ).
fof(f11435,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ50_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f291,f3250]) ).
fof(f11436,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ50_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f291,f3251]) ).
fof(f11450,plain,
( ~ sQ110_spl
| ~ sQ50_spl
| sQ136_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f11435,f3257,f654,f290,f496]) ).
fof(f11451,plain,
( ~ sQ110_spl
| ~ sQ50_spl
| sQ139_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f11436,f3257,f682,f290,f496]) ).
fof(f11456,plain,
( ~ sQ390_spl
| ~ sQ56_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f310,f5059]) ).
fof(f11458,plain,
( ~ sQ320_spl
| ~ sQ56_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f310,f3258]) ).
fof(f11459,plain,
( ~ sQ206_spl
| ~ sQ56_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f310,f1585]) ).
fof(f11460,plain,
( ~ sQ448_spl
| ~ sQ56_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f310,f10449]) ).
fof(f11461,plain,
( ~ sQ446_spl
| ~ sQ56_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f310,f9489]) ).
fof(f11462,plain,
( ~ sQ406_spl
| ~ sQ56_spl
| ~ product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f310,f5893]) ).
fof(f11463,plain,
( ~ sQ407_spl
| ~ sQ56_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f310,f5898]) ).
fof(f11464,plain,
( ~ sQ205_spl
| ~ sQ56_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f310,f1573]) ).
fof(f11467,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ56_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f310,f6575]) ).
fof(f11468,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ56_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f310,f6574]) ).
fof(f11471,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ56_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f310,f2932]) ).
fof(f11472,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ56_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f310,f2931]) ).
fof(f11480,plain,
( ~ sQ407_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11463,f96]) ).
fof(f11481,plain,
( ~ sQ407_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f11480]) ).
fof(f11484,plain,
( ~ sQ86_spl
| ~ sQ56_spl
| sQ148_spl
| sQ447_spl ),
inference(split_clause,[status(thm)],[f11467,f10189,f773,f309,f414]) ).
fof(f11485,plain,
( ~ sQ86_spl
| ~ sQ56_spl
| sQ191_spl
| sQ447_spl ),
inference(split_clause,[status(thm)],[f11468,f10189,f1374,f309,f414]) ).
fof(f11488,plain,
( ~ sQ121_spl
| ~ sQ56_spl
| sQ126_spl
| sQ451_spl ),
inference(split_clause,[status(thm)],[f11471,f11361,f556,f309,f531]) ).
fof(f11489,plain,
( ~ sQ121_spl
| ~ sQ56_spl
| sQ134_spl
| sQ451_spl ),
inference(split_clause,[status(thm)],[f11472,f11361,f640,f309,f531]) ).
fof(f11494,plain,
( ~ sQ241_spl
| ~ sQ107_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f487,f2088]) ).
fof(f11495,plain,
( ~ sQ451_spl
| ~ sQ107_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f487,f11362]) ).
fof(f11497,plain,
( ~ sQ199_spl
| ~ sQ107_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f487,f1483]) ).
fof(f11499,plain,
( ~ sQ212_spl
| ~ sQ107_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f487,f1725]) ).
fof(f11500,plain,
( ~ sQ362_spl
| ~ sQ107_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f487,f4107]) ).
fof(f11501,plain,
( ~ sQ197_spl
| ~ sQ107_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f487,f1462]) ).
fof(f11529,plain,
( ~ sQ277_spl
| ~ sQ93_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f437,f2734]) ).
fof(f11531,plain,
( ~ sQ338_spl
| ~ sQ93_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f437,f3453]) ).
fof(f11532,plain,
( ~ sQ286_spl
| ~ sQ93_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f437,f2852]) ).
fof(f11533,plain,
( ~ sQ440_spl
| ~ sQ93_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f437,f8829]) ).
fof(f11534,plain,
( ~ sQ424_spl
| ~ sQ93_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f437,f7296]) ).
fof(f11535,plain,
( ~ sQ408_spl
| ~ sQ93_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f437,f5943]) ).
fof(f11536,plain,
( ~ sQ275_spl
| ~ sQ93_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f437,f2724]) ).
fof(f11537,plain,
( ~ sQ278_spl
| ~ sQ93_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f437,f2740]) ).
fof(f11565,plain,
( ~ sQ452_spl
| ~ sQ95_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f444,f11390]) ).
fof(f11566,plain,
( ~ sQ353_spl
| ~ sQ95_spl
| ~ product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f444,f3878]) ).
fof(f11567,plain,
( ~ sQ447_spl
| ~ sQ95_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f444,f10190]) ).
fof(f11568,plain,
( ~ sQ429_spl
| ~ sQ95_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f444,f7565]) ).
fof(f11570,plain,
( ~ sQ274_spl
| ~ sQ95_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f444,f2653]) ).
fof(f11575,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ95_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f444,f1927]) ).
fof(f11576,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ95_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f444,f1928]) ).
fof(f11590,plain,
( ~ sQ70_spl
| ~ sQ95_spl
| sQ183_spl
| sQ450_spl ),
inference(split_clause,[status(thm)],[f11575,f11280,f1286,f443,f358]) ).
fof(f11591,plain,
( ~ sQ70_spl
| ~ sQ95_spl
| sQ129_spl
| sQ450_spl ),
inference(split_clause,[status(thm)],[f11576,f11280,f580,f443,f358]) ).
fof(f11599,plain,
( ~ sQ450_spl
| ~ sQ82_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f402,f11281]) ).
fof(f11600,plain,
( ~ sQ251_spl
| ~ sQ82_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f402,f2262]) ).
fof(f11601,plain,
( ~ sQ319_spl
| ~ sQ82_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f402,f3253]) ).
fof(f11602,plain,
( ~ sQ256_spl
| ~ sQ82_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f402,f2356]) ).
fof(f11603,plain,
( ~ sQ423_spl
| ~ sQ82_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f402,f7254]) ).
fof(f11606,plain,
( ~ sQ247_spl
| ~ sQ82_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f402,f2228]) ).
fof(f11635,plain,
( ~ sQ329_spl
| ~ sQ49_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f287,f3354]) ).
fof(f11636,plain,
( ~ sQ333_spl
| ~ sQ49_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f287,f3402]) ).
fof(f11637,plain,
( ~ sQ449_spl
| ~ sQ49_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f287,f10491]) ).
fof(f11638,plain,
( ~ sQ379_spl
| ~ sQ49_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f287,f4602]) ).
fof(f11639,plain,
( ~ sQ413_spl
| ~ sQ49_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f287,f6293]) ).
fof(f11642,plain,
( ~ sQ337_spl
| ~ sQ49_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f287,f3423]) ).
fof(f11670,plain,
( ~ sQ454_spl
| ~ sQ33_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f229,f11402]) ).
fof(f11671,plain,
( ~ sQ453_spl
| ~ sQ33_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f229,f11397]) ).
fof(f11673,plain,
( ~ sQ385_spl
| ~ sQ33_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f229,f4797]) ).
fof(f11704,plain,
( ~ sQ219_spl
| ~ sQ37_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f242,f1802]) ).
fof(f11705,plain,
( ~ sQ175_spl
| ~ sQ37_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f242,f1176]) ).
fof(f11706,plain,
( ~ sQ145_spl
| ~ sQ37_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f242,f756]) ).
fof(f11735,plain,
( ~ sQ309_spl
| ~ sQ86_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f415,f3149]) ).
fof(f11736,plain,
( ~ sQ261_spl
| ~ sQ86_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f415,f2464]) ).
fof(f11737,plain,
( ~ sQ260_spl
| ~ sQ86_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f415,f2429]) ).
fof(f11738,plain,
( ~ sQ442_spl
| ~ sQ86_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f415,f8927]) ).
fof(f11739,plain,
( ~ sQ430_spl
| ~ sQ86_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f415,f7576]) ).
fof(f11740,plain,
( ~ sQ272_spl
| ~ sQ86_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f415,f2642]) ).
fof(f11741,plain,
( ~ sQ262_spl
| ~ sQ86_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f415,f2470]) ).
fof(f11742,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ86_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f415,f11387]) ).
fof(f11743,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ86_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f415,f11386]) ).
fof(f11757,plain,
( ~ sQ66_spl
| ~ sQ86_spl
| sQ130_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f11742,f11389,f584,f414,f345]) ).
fof(f11758,plain,
( ~ sQ66_spl
| ~ sQ86_spl
| sQ187_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f11743,f11389,f1341,f414,f345]) ).
fof(f11771,plain,
( ~ sQ13_spl
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f569,f59]) ).
fof(f11772,plain,
( ~ sQ13_spl
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f569,f57]) ).
fof(f11773,plain,
( ~ sQ13_spl
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f569,f54]) ).
fof(f11774,plain,
( ~ sQ121_spl
| ~ next(e_5,e_1) ),
inference(resolution,[status(thm)],[f2923,f52]) ).
fof(model,axiom,
( sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ13_spl
| ~ sQ14_spl
| ~ 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
| ~ sQ31_spl
| ~ sQ32_spl
| sQ33_spl
| ~ sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| sQ37_spl
| ~ sQ38_spl
| ~ sQ39_spl
| sQ40_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| ~ sQ47_spl
| ~ sQ48_spl
| sQ49_spl
| sQ50_spl
| ~ sQ51_spl
| ~ sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| sQ56_spl
| ~ sQ57_spl
| ~ sQ58_spl
| ~ sQ59_spl
| ~ sQ60_spl
| sQ63_spl
| ~ sQ64_spl
| ~ sQ65_spl
| sQ66_spl
| ~ sQ67_spl
| ~ sQ68_spl
| ~ sQ69_spl
| sQ70_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| ~ sQ74_spl
| ~ sQ75_spl
| ~ sQ76_spl
| ~ sQ77_spl
| ~ sQ78_spl
| sQ79_spl
| ~ sQ80_spl
| ~ sQ81_spl
| sQ82_spl
| ~ sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| sQ86_spl
| ~ sQ87_spl
| ~ sQ88_spl
| ~ sQ89_spl
| ~ sQ90_spl
| ~ sQ91_spl
| ~ sQ92_spl
| sQ93_spl
| ~ sQ94_spl
| sQ95_spl
| ~ sQ96_spl
| ~ sQ97_spl
| ~ sQ98_spl
| ~ sQ99_spl
| sQ104_spl
| ~ sQ105_spl
| ~ sQ106_spl
| sQ107_spl
| ~ sQ108_spl
| ~ sQ109_spl
| sQ110_spl
| ~ sQ111_spl
| ~ sQ112_spl
| ~ sQ113_spl
| ~ sQ114_spl
| ~ sQ115_spl
| ~ sQ116_spl
| ~ sQ117_spl
| sQ118_spl
| ~ sQ119_spl
| ~ sQ120_spl
| sQ121_spl
| ~ sQ122_spl
| ~ sQ123_spl
| ~ sQ124_spl
| ~ sQ126_spl
| ~ sQ127_spl
| sQ128_spl
| ~ sQ129_spl
| ~ sQ130_spl
| ~ sQ131_spl
| ~ sQ132_spl
| ~ sQ133_spl
| ~ sQ134_spl
| ~ sQ135_spl
| ~ sQ136_spl
| ~ sQ137_spl
| sQ138_spl
| ~ sQ139_spl
| sQ141_spl
| ~ sQ143_spl
| sQ144_spl
| sQ145_spl
| sQ146_spl
| ~ sQ147_spl
| ~ sQ148_spl
| sQ152_spl
| sQ153_spl
| ~ sQ155_spl
| ~ sQ158_spl
| ~ sQ159_spl
| ~ sQ160_spl
| sQ162_spl
| ~ sQ164_spl
| ~ sQ165_spl
| sQ167_spl
| sQ168_spl
| sQ175_spl
| sQ176_spl
| ~ sQ177_spl
| sQ178_spl
| ~ sQ179_spl
| sQ182_spl
| ~ sQ183_spl
| ~ sQ184_spl
| sQ185_spl
| sQ186_spl
| ~ sQ187_spl
| ~ sQ190_spl
| ~ sQ191_spl
| sQ193_spl
| ~ sQ195_spl
| sQ196_spl
| sQ197_spl
| sQ199_spl
| sQ205_spl
| sQ206_spl
| sQ207_spl
| ~ sQ209_spl
| sQ210_spl
| sQ211_spl
| sQ212_spl
| ~ sQ213_spl
| sQ214_spl
| sQ216_spl
| sQ218_spl
| sQ219_spl
| sQ220_spl
| sQ222_spl
| sQ223_spl
| ~ sQ224_spl
| sQ225_spl
| sQ227_spl
| sQ230_spl
| sQ231_spl
| ~ sQ232_spl
| sQ240_spl
| sQ241_spl
| ~ sQ242_spl
| ~ sQ246_spl
| sQ247_spl
| sQ251_spl
| ~ sQ252_spl
| sQ253_spl
| sQ254_spl
| sQ256_spl
| sQ257_spl
| sQ260_spl
| sQ261_spl
| sQ262_spl
| ~ sQ264_spl
| ~ sQ265_spl
| sQ266_spl
| ~ sQ270_spl
| ~ sQ271_spl
| sQ272_spl
| sQ274_spl
| sQ275_spl
| sQ277_spl
| sQ278_spl
| ~ sQ283_spl
| ~ sQ284_spl
| ~ sQ285_spl
| sQ286_spl
| sQ289_spl
| ~ sQ290_spl
| ~ sQ291_spl
| sQ292_spl
| ~ sQ293_spl
| ~ sQ294_spl
| sQ295_spl
| sQ296_spl
| sQ297_spl
| sQ298_spl
| sQ301_spl
| sQ302_spl
| sQ304_spl
| sQ305_spl
| sQ308_spl
| sQ309_spl
| sQ314_spl
| sQ315_spl
| ~ sQ316_spl
| sQ318_spl
| sQ319_spl
| sQ320_spl
| sQ321_spl
| sQ323_spl
| ~ sQ324_spl
| sQ325_spl
| ~ sQ326_spl
| sQ327_spl
| sQ328_spl
| sQ329_spl
| ~ sQ330_spl
| sQ331_spl
| ~ sQ332_spl
| sQ333_spl
| ~ sQ336_spl
| sQ337_spl
| sQ338_spl
| ~ sQ342_spl
| ~ sQ343_spl
| sQ347_spl
| ~ sQ350_spl
| sQ353_spl
| sQ356_spl
| ~ sQ358_spl
| ~ sQ359_spl
| sQ362_spl
| ~ sQ364_spl
| ~ sQ366_spl
| sQ367_spl
| ~ sQ374_spl
| ~ sQ375_spl
| sQ379_spl
| sQ385_spl
| sQ390_spl
| sQ391_spl
| ~ sQ392_spl
| ~ sQ397_spl
| sQ402_spl
| sQ403_spl
| sQ404_spl
| sQ405_spl
| sQ406_spl
| ~ sQ407_spl
| sQ408_spl
| ~ sQ411_spl
| sQ412_spl
| sQ413_spl
| ~ sQ416_spl
| sQ417_spl
| sQ421_spl
| sQ422_spl
| sQ423_spl
| sQ424_spl
| sQ426_spl
| sQ428_spl
| sQ429_spl
| sQ430_spl
| sQ433_spl
| sQ434_spl
| sQ435_spl
| ~ sQ437_spl
| ~ sQ439_spl
| sQ440_spl
| sQ442_spl
| sQ446_spl
| sQ447_spl
| sQ448_spl
| sQ449_spl
| sQ450_spl
| sQ451_spl
| sQ452_spl
| sQ453_spl
| sQ454_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP123-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47 % Computer : n020.cluster.edu
% 0.17/0.47 % Model : x86_64 x86_64
% 0.17/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.47 % Memory : 8046.5625MB
% 0.17/0.47 % OS : Linux 6.8.0-71-generic
% 0.17/0.47 % CPULimit : 300
% 0.17/0.47 % WCLimit : 300
% 0.17/0.47 % DateTime : Sun Sep 20 19:59:02 UTC 2026
% 0.17/0.48 % CPUTime :
% 0.17/0.51 % Drodi V4.1.1
% 27.01/4.05 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 27.01/4.05 % SZS output start Saturation for theBenchmark
% See solution above
% 16.81/4.20 % Elapsed time: 3.695603 seconds
% 16.81/4.20 % CPU time: 28.008669 seconds
% 16.81/4.20 % Total memory used: 92.195 MB
% 16.81/4.20 % Net memory used: 72.468 MB
%------------------------------------------------------------------------------