%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP124-2.005 : 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 : n015.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 12:35:45 PM UTC 2026
% Result : Satisfiable 30.38s 4.39s
% Output : Saturation 1.99s
% 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,X2,Y2)
| ~ product(Z2,X1,Y1)
| ~ 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,X2,Y2)
| ~ product(Z2,X1,Y1)
| ~ 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,X2,Y2)
| ! [Y1] :
( ~ product(Z2,X1,Y1)
| ! [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,X3,X4)
| ~ product(X5,X0,X1)
| ~ 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,X2,Y2)
| ! [X1] :
( ~ product(Z2,X1,Y1)
| ! [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,X3,X4)
| ~ product(X5,X0,X1)
| ~ product(X3,X4,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X1)
| ~ product(X3,X0,X1)
| ~ product(X3,X2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f96,f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X0)
| ~ product(X3,X0,X1)
| ~ product(X3,X2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f96,f98]) ).
fof(f103,plain,
! [X0,X1] :
( equalish(X1,X1)
| ~ product(X0,X1,X1)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f101,f96]) ).
fof(f104,plain,
! [X0,X1] :
( equalish(X1,X1)
| ~ product(X0,X1,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f103]) ).
fof(f107,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f104,f96]) ).
fof(f108,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f91,f96]) ).
fof(f110,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f93,f96]) ).
fof(f112,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f95,f96]) ).
fof(f114,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)],[f89,f68]) ).
fof(f115,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)],[f89,f67]) ).
fof(f116,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(f117,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(f118,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(f119,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)],[f114,f68]) ).
fof(f120,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)],[f114,f67]) ).
fof(f121,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)],[f114,f66]) ).
fof(f122,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)],[f114,f65]) ).
fof(f123,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)],[f114,f64]) ).
fof(f124,definition,
( sQ0_spl
<=> product(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ0_spl
| product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f126,plain,
( sQ0_spl
| ~ product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,definition,
( sQ1_spl
<=> product(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ1_spl
| product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f129,plain,
( sQ1_spl
| ~ product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,definition,
( sQ2_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( ~ sQ2_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f132,plain,
( sQ2_spl
| ~ product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,definition,
( sQ3_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ3_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,definition,
( sQ4_spl
<=> product(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f119,f124,f127,f130,f133,f136]) ).
fof(f140,definition,
( sQ5_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ5_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f142,plain,
( sQ5_spl
| ~ product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
( sQ6_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ6_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f145,plain,
( sQ6_spl
| ~ product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
( sQ7_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( ~ sQ7_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f148,plain,
( sQ7_spl
| ~ product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,definition,
( sQ8_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ8_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f151,plain,
( sQ8_spl
| ~ product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,definition,
( sQ9_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( ~ sQ9_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f154,plain,
( sQ9_spl
| ~ product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f120,f140,f143,f146,f149,f152]) ).
fof(f156,definition,
( sQ10_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ10_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f158,plain,
( sQ10_spl
| ~ product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,definition,
( sQ11_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ11_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( sQ11_spl
| ~ product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,definition,
( sQ12_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ12_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f164,plain,
( sQ12_spl
| ~ product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,definition,
( sQ13_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ13_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f167,plain,
( sQ13_spl
| ~ product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,definition,
( sQ14_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( ~ sQ14_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f170,plain,
( sQ14_spl
| ~ product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f121,f156,f159,f162,f165,f168]) ).
fof(f172,definition,
( sQ15_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ15_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f174,plain,
( sQ15_spl
| ~ product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,definition,
( sQ16_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( ~ sQ16_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f177,plain,
( sQ16_spl
| ~ product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,definition,
( sQ17_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( ~ sQ17_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f180,plain,
( sQ17_spl
| ~ product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,definition,
( sQ18_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( ~ sQ18_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f183,plain,
( sQ18_spl
| ~ product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f184,definition,
( sQ19_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( ~ sQ19_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f186,plain,
( sQ19_spl
| ~ product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f122,f172,f175,f178,f181,f184]) ).
fof(f188,definition,
( sQ20_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ20_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f190,plain,
( sQ20_spl
| ~ product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,definition,
( sQ21_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( ~ sQ21_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f193,plain,
( sQ21_spl
| ~ product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,definition,
( sQ22_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ22_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f196,plain,
( sQ22_spl
| ~ product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,definition,
( sQ23_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( ~ sQ23_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f199,plain,
( sQ23_spl
| ~ product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,definition,
( sQ24_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ24_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f202,plain,
( sQ24_spl
| ~ product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f123,f188,f191,f194,f197,f200]) ).
fof(f204,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)],[f115,f68]) ).
fof(f205,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)],[f115,f67]) ).
fof(f206,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)],[f115,f66]) ).
fof(f207,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)],[f115,f65]) ).
fof(f208,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)],[f115,f64]) ).
fof(f209,definition,
( sQ25_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ25_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f211,plain,
( sQ25_spl
| ~ product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,definition,
( sQ26_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ26_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f214,plain,
( sQ26_spl
| ~ product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,definition,
( sQ27_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ27_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f217,plain,
( sQ27_spl
| ~ product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,definition,
( sQ28_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( ~ sQ28_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f220,plain,
( sQ28_spl
| ~ product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,definition,
( sQ29_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( ~ sQ29_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f223,plain,
( sQ29_spl
| ~ product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f204,f209,f212,f215,f218,f221]) ).
fof(f225,definition,
( sQ30_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ30_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f227,plain,
( sQ30_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,definition,
( sQ31_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ31_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f230,plain,
( sQ31_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,definition,
( sQ32_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ32_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f233,plain,
( sQ32_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,definition,
( sQ33_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f237,definition,
( sQ34_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( ~ sQ34_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f239,plain,
( sQ34_spl
| ~ product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f205,f225,f228,f231,f234,f237]) ).
fof(f241,definition,
( sQ35_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ35_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f243,plain,
( sQ35_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,definition,
( sQ36_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ36_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f246,plain,
( sQ36_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
( sQ37_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( ~ sQ37_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f249,plain,
( sQ37_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,definition,
( sQ38_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ38_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f252,plain,
( sQ38_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,definition,
( sQ39_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( ~ sQ39_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f255,plain,
( sQ39_spl
| ~ product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f206,f241,f244,f247,f250,f253]) ).
fof(f257,definition,
( sQ40_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( ~ sQ40_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f259,plain,
( sQ40_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,definition,
( sQ41_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ41_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f262,plain,
( sQ41_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,definition,
( sQ42_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ42_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f265,plain,
( sQ42_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,definition,
( sQ43_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ43_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f268,plain,
( sQ43_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,definition,
( sQ44_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( ~ sQ44_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f271,plain,
( sQ44_spl
| ~ product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f207,f257,f260,f263,f266,f269]) ).
fof(f273,definition,
( sQ45_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ45_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f275,plain,
( sQ45_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
( sQ46_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ46_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f278,plain,
( sQ46_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,definition,
( sQ47_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ47_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f281,plain,
( sQ47_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
( sQ48_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ48_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f284,plain,
( sQ48_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,definition,
( sQ49_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ49_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f287,plain,
( sQ49_spl
| ~ product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f208,f273,f276,f279,f282,f285]) ).
fof(f289,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)],[f116,f68]) ).
fof(f290,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)],[f116,f67]) ).
fof(f291,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)],[f116,f66]) ).
fof(f292,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)],[f116,f65]) ).
fof(f293,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)],[f116,f64]) ).
fof(f294,definition,
( sQ50_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ50_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f296,plain,
( sQ50_spl
| ~ product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
( sQ51_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( ~ sQ51_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f299,plain,
( sQ51_spl
| ~ product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,definition,
( sQ52_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( ~ sQ52_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f302,plain,
( sQ52_spl
| ~ product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,definition,
( sQ53_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f304,plain,
( ~ sQ53_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f305,plain,
( sQ53_spl
| ~ product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,definition,
( sQ54_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( ~ sQ54_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f308,plain,
( sQ54_spl
| ~ product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f289,f294,f297,f300,f303,f306]) ).
fof(f310,definition,
( sQ55_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( ~ sQ55_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f312,plain,
( sQ55_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,definition,
( sQ56_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( ~ sQ56_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f315,plain,
( sQ56_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,definition,
( sQ57_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( ~ sQ57_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f318,plain,
( sQ57_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,definition,
( sQ58_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f320,plain,
( ~ sQ58_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f321,plain,
( sQ58_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,definition,
( sQ59_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( ~ sQ59_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f324,plain,
( sQ59_spl
| ~ product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f290,f310,f313,f316,f319,f322]) ).
fof(f326,definition,
( sQ60_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ60_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,definition,
( sQ61_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( ~ sQ61_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f331,plain,
( sQ61_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,definition,
( sQ62_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f335,definition,
( sQ63_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( ~ sQ63_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f337,plain,
( sQ63_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,definition,
( sQ64_spl
<=> product(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( ~ sQ64_spl
| product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f340,plain,
( sQ64_spl
| ~ product(e_3,e_3,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)],[f291,f326,f329,f332,f335,f338]) ).
fof(f342,definition,
( sQ65_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( ~ sQ65_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f344,plain,
( sQ65_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,definition,
( sQ66_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ66_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f347,plain,
( sQ66_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,definition,
( sQ67_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ67_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f350,plain,
( sQ67_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,definition,
( sQ68_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( ~ sQ68_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f353,plain,
( sQ68_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,definition,
( sQ69_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ69_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f356,plain,
( sQ69_spl
| ~ product(e_3,e_2,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)],[f292,f342,f345,f348,f351,f354]) ).
fof(f358,definition,
( sQ70_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( ~ sQ70_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f360,plain,
( sQ70_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,definition,
( sQ71_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ71_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f363,plain,
( sQ71_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,definition,
( sQ72_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ72_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f366,plain,
( sQ72_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,definition,
( sQ73_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ73_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f369,plain,
( sQ73_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,definition,
( sQ74_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ74_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f372,plain,
( sQ74_spl
| ~ product(e_3,e_1,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)],[f293,f358,f361,f364,f367,f370]) ).
fof(f374,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)],[f117,f68]) ).
fof(f375,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)],[f117,f67]) ).
fof(f376,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)],[f117,f66]) ).
fof(f377,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)],[f117,f65]) ).
fof(f378,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)],[f117,f64]) ).
fof(f379,definition,
( sQ75_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ75_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f381,plain,
( sQ75_spl
| ~ product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,definition,
( sQ76_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ76_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f384,plain,
( sQ76_spl
| ~ product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ77_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( ~ sQ77_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f387,plain,
( sQ77_spl
| ~ product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,definition,
( sQ78_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ78_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f390,plain,
( sQ78_spl
| ~ product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,definition,
( sQ79_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( ~ sQ79_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f393,plain,
( sQ79_spl
| ~ product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f374,f379,f382,f385,f388,f391]) ).
fof(f395,definition,
( sQ80_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ80_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f397,plain,
( sQ80_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ81_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ81_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f400,plain,
( sQ81_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
( sQ82_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( ~ sQ82_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f403,plain,
( sQ82_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,definition,
( sQ83_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ83_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f406,plain,
( sQ83_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,definition,
( sQ84_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ84_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f409,plain,
( sQ84_spl
| ~ product(e_2,e_4,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)],[f375,f395,f398,f401,f404,f407]) ).
fof(f411,definition,
( sQ85_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ85_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f413,plain,
( sQ85_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ86_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ86_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f416,plain,
( sQ86_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,definition,
( sQ87_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( ~ sQ87_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f419,plain,
( sQ87_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,definition,
( sQ88_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f421,plain,
( ~ sQ88_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f422,plain,
( sQ88_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,definition,
( sQ89_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f424,plain,
( ~ sQ89_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f425,plain,
( sQ89_spl
| ~ product(e_2,e_3,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)],[f376,f411,f414,f417,f420,f423]) ).
fof(f427,definition,
( sQ90_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ90_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f429,plain,
( sQ90_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ91_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f433,definition,
( sQ92_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( ~ sQ92_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f435,plain,
( sQ92_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,definition,
( sQ93_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( ~ sQ93_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f438,plain,
( sQ93_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,definition,
( sQ94_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( ~ sQ94_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f441,plain,
( sQ94_spl
| ~ product(e_2,e_2,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)],[f377,f427,f430,f433,f436,f439]) ).
fof(f443,definition,
( sQ95_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ95_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f445,plain,
( sQ95_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ96_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ96_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f448,plain,
( sQ96_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,definition,
( sQ97_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ97_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f451,plain,
( sQ97_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
( sQ98_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ98_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f454,plain,
( sQ98_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,definition,
( sQ99_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ99_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f457,plain,
( sQ99_spl
| ~ product(e_2,e_1,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)],[f378,f443,f446,f449,f452,f455]) ).
fof(f459,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)],[f118,f68]) ).
fof(f460,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)],[f118,f67]) ).
fof(f461,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)],[f118,f66]) ).
fof(f462,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)],[f118,f65]) ).
fof(f463,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)],[f118,f64]) ).
fof(f464,definition,
( sQ100_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( ~ sQ100_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f466,plain,
( sQ100_spl
| ~ product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,definition,
( sQ101_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ101_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f469,plain,
( sQ101_spl
| ~ product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,definition,
( sQ102_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ102_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f472,plain,
( sQ102_spl
| ~ product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,definition,
( sQ103_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ103_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f475,plain,
( sQ103_spl
| ~ product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,definition,
( sQ104_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ104_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f478,plain,
( sQ104_spl
| ~ product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f476]) ).
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_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ105_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f482,plain,
( sQ105_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,definition,
( sQ106_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( ~ sQ106_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f485,plain,
( sQ106_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,definition,
( sQ107_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( ~ sQ107_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f488,plain,
( sQ107_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,definition,
( sQ108_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ108_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,definition,
( sQ109_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( ~ sQ109_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f494,plain,
( sQ109_spl
| ~ product(e_1,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_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( ~ sQ110_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f498,plain,
( sQ110_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,definition,
( sQ111_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ111_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f501,plain,
( sQ111_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,definition,
( sQ112_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ112_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f504,plain,
( sQ112_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,definition,
( sQ113_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( ~ sQ113_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f507,plain,
( sQ113_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,definition,
( sQ114_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( ~ sQ114_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f510,plain,
( sQ114_spl
| ~ product(e_1,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_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ115_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f514,plain,
( sQ115_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
( sQ116_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ116_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f517,plain,
( sQ116_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
( sQ117_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( ~ sQ117_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f520,plain,
( sQ117_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,definition,
( sQ118_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f522,plain,
( ~ sQ118_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f523,plain,
( sQ118_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,definition,
( sQ119_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( ~ sQ119_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f526,plain,
( sQ119_spl
| ~ product(e_1,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_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f531,definition,
( sQ121_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( ~ sQ121_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f533,plain,
( sQ121_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,definition,
( sQ122_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( ~ sQ122_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f536,plain,
( sQ122_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,definition,
( sQ123_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ123_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f539,plain,
( sQ123_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,definition,
( sQ124_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f541,plain,
( ~ sQ124_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f542,plain,
( sQ124_spl
| ~ product(e_1,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,
~ greater(e_1,e_2),
inference(resolution,[status(thm)],[f544,f48]) ).
fof(f546,plain,
! [X0] :
( ~ sQ24_spl
| ~ greater(e_5,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f201,f63]) ).
fof(f547,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f201,f95]) ).
fof(f548,plain,
( ~ sQ24_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f201,f110]) ).
fof(f549,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f201,f93]) ).
fof(f550,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f201,f91]) ).
fof(f551,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f201,f102]) ).
fof(f552,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f201,f101]) ).
fof(f553,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f201,f100]) ).
fof(f554,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f201,f98]) ).
fof(f555,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f548,f85]) ).
fof(f556,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f555]) ).
fof(f558,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f198,f95]) ).
fof(f559,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f198,f93]) ).
fof(f560,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f198,f91]) ).
fof(f561,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f198,f102]) ).
fof(f562,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f198,f101]) ).
fof(f563,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f198,f100]) ).
fof(f564,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f198,f98]) ).
fof(f565,definition,
! [X0] :
( sQ125_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f566,plain,
! [X0] :
( ~ sQ125_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,definition,
( sQ126_spl
<=> equalish(e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ126_spl
| equalish(e_4,e_5) ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,plain,
( ~ sQ23_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f561,f565,f568,f197]) ).
fof(f572,definition,
( sQ127_spl
<=> equalish(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( ~ sQ127_spl
| equalish(e_4,e_1) ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,plain,
( ~ sQ23_spl
| sQ127_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f562,f565,f572,f197]) ).
fof(f576,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f573,f81]) ).
fof(f577,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f576]) ).
fof(f578,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f569,f84]) ).
fof(f579,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f578]) ).
fof(f580,plain,
( ~ sQ125_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f566,f96]) ).
fof(f581,plain,
! [X0] :
( ~ sQ22_spl
| ~ greater(e_3,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f195,f63]) ).
fof(f582,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f195,f95]) ).
fof(f583,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f195,f93]) ).
fof(f584,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f195,f91]) ).
fof(f585,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f195,f102]) ).
fof(f586,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f195,f101]) ).
fof(f587,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f195,f100]) ).
fof(f588,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f195,f98]) ).
fof(f589,definition,
! [X0] :
( sQ128_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f590,plain,
! [X0] :
( ~ sQ128_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,definition,
( sQ129_spl
<=> equalish(e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f593,plain,
( ~ sQ129_spl
| equalish(e_3,e_5) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,plain,
( ~ sQ22_spl
| sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f585,f589,f592,f194]) ).
fof(f596,definition,
( sQ130_spl
<=> equalish(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( ~ sQ130_spl
| equalish(e_3,e_1) ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,plain,
( ~ sQ22_spl
| sQ130_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f586,f589,f596,f194]) ).
fof(f600,plain,
( ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f597,f77]) ).
fof(f601,plain,
~ sQ130_spl,
inference(contradiction_clause,[status(thm)],[f600]) ).
fof(f602,plain,
( ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f593,f80]) ).
fof(f603,plain,
~ sQ129_spl,
inference(contradiction_clause,[status(thm)],[f602]) ).
fof(f604,plain,
( ~ sQ128_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f590,f96]) ).
fof(f605,plain,
! [X0] :
( ~ sQ21_spl
| ~ greater(e_2,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f192,f63]) ).
fof(f606,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f192,f95]) ).
fof(f607,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f192,f93]) ).
fof(f608,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f192,f91]) ).
fof(f609,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f192,f102]) ).
fof(f610,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f192,f101]) ).
fof(f611,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f192,f100]) ).
fof(f612,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f192,f98]) ).
fof(f613,definition,
! [X0] :
( sQ131_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f614,plain,
! [X0] :
( ~ sQ131_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,definition,
( sQ132_spl
<=> equalish(e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( ~ sQ132_spl
| equalish(e_2,e_5) ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,plain,
( ~ sQ21_spl
| sQ132_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f609,f613,f616,f191]) ).
fof(f620,definition,
( sQ133_spl
<=> equalish(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ133_spl
| equalish(e_2,e_1) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,plain,
( ~ sQ21_spl
| sQ133_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f610,f613,f620,f191]) ).
fof(f624,plain,
( ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f621,f73]) ).
fof(f625,plain,
~ sQ133_spl,
inference(contradiction_clause,[status(thm)],[f624]) ).
fof(f626,plain,
( ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f617,f76]) ).
fof(f627,plain,
~ sQ132_spl,
inference(contradiction_clause,[status(thm)],[f626]) ).
fof(f628,plain,
( ~ sQ131_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f614,f96]) ).
fof(f629,plain,
! [X0] :
( ~ sQ20_spl
| ~ greater(e_1,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f189,f63]) ).
fof(f630,plain,
( ~ sQ20_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f189,f112]) ).
fof(f631,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f189,f95]) ).
fof(f632,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f189,f93]) ).
fof(f633,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f189,f91]) ).
fof(f634,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f189,f102]) ).
fof(f635,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f189,f101]) ).
fof(f636,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f189,f100]) ).
fof(f637,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f189,f98]) ).
fof(f638,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f630,f72]) ).
fof(f639,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f638]) ).
fof(f640,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f587,f96]) ).
fof(f641,definition,
( sQ134_spl
<=> equalish(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( ~ sQ134_spl
| equalish(e_1,e_3) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,plain,
( ~ sQ22_spl
| sQ134_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f640,f589,f641,f194]) ).
fof(f645,plain,
( ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f642,f70]) ).
fof(f646,plain,
~ sQ134_spl,
inference(contradiction_clause,[status(thm)],[f645]) ).
fof(f647,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f611,f96]) ).
fof(f648,definition,
( sQ135_spl
<=> equalish(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( ~ sQ135_spl
| equalish(e_1,e_2) ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,plain,
( ~ sQ21_spl
| sQ135_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f647,f613,f648,f191]) ).
fof(f652,plain,
( ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f649,f69]) ).
fof(f653,plain,
~ sQ135_spl,
inference(contradiction_clause,[status(thm)],[f652]) ).
fof(f654,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f588,f96]) ).
fof(f655,definition,
( sQ136_spl
<=> equalish(e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( ~ sQ136_spl
| equalish(e_5,e_3) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,plain,
( ~ sQ22_spl
| sQ136_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f654,f589,f655,f194]) ).
fof(f659,plain,
( ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f656,f87]) ).
fof(f660,plain,
~ sQ136_spl,
inference(contradiction_clause,[status(thm)],[f659]) ).
fof(f661,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f612,f96]) ).
fof(f662,definition,
( sQ137_spl
<=> equalish(e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( ~ sQ137_spl
| equalish(e_5,e_2) ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,plain,
( ~ sQ21_spl
| sQ137_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f661,f613,f662,f191]) ).
fof(f666,plain,
( ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f663,f86]) ).
fof(f667,plain,
~ sQ137_spl,
inference(contradiction_clause,[status(thm)],[f666]) ).
fof(f672,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f185,f95]) ).
fof(f673,plain,
( ~ sQ19_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f185,f110]) ).
fof(f674,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f185,f93]) ).
fof(f675,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f185,f91]) ).
fof(f676,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f185,f102]) ).
fof(f677,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f185,f101]) ).
fof(f678,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f185,f100]) ).
fof(f679,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f185,f98]) ).
fof(f680,plain,
( ~ sQ19_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f673,f662,f184]) ).
fof(f681,definition,
! [X0] :
( sQ138_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f682,plain,
! [X0] :
( ~ sQ138_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,definition,
( sQ139_spl
<=> equalish(e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f687,plain,
( ~ sQ19_spl
| sQ139_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f676,f681,f684,f184]) ).
fof(f688,plain,
( ~ sQ19_spl
| sQ137_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f677,f681,f662,f184]) ).
fof(f689,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f182,f95]) ).
fof(f690,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f182,f93]) ).
fof(f691,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f182,f91]) ).
fof(f692,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f182,f102]) ).
fof(f693,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f182,f101]) ).
fof(f694,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f182,f100]) ).
fof(f695,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f182,f98]) ).
fof(f696,definition,
! [X0] :
( sQ140_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f697,plain,
! [X0] :
( ~ sQ140_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f699,plain,
( ~ sQ18_spl
| sQ126_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f692,f696,f568,f181]) ).
fof(f700,definition,
( sQ141_spl
<=> equalish(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( ~ sQ141_spl
| equalish(e_4,e_2) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( ~ sQ18_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f693,f696,f700,f181]) ).
fof(f704,plain,
( ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f701,f82]) ).
fof(f705,plain,
~ sQ141_spl,
inference(contradiction_clause,[status(thm)],[f704]) ).
fof(f706,plain,
( ~ sQ140_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f697,f96]) ).
fof(f707,plain,
( ~ sQ22_spl
| ~ sQ17_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f179,f583]) ).
fof(f708,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ17_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f179,f588]) ).
fof(f709,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ17_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f179,f587]) ).
fof(f710,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f179,f95]) ).
fof(f711,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f179,f93]) ).
fof(f712,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f179,f91]) ).
fof(f713,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f179,f102]) ).
fof(f714,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f179,f101]) ).
fof(f715,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f179,f100]) ).
fof(f716,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f179,f98]) ).
fof(f717,plain,
( ~ sQ22_spl
| ~ sQ17_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f707,f648,f178,f194]) ).
fof(f718,definition,
! [X0] :
( sQ142_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f719,plain,
! [X0] :
( ~ sQ142_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,plain,
( ~ sQ22_spl
| ~ sQ17_spl
| sQ139_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f708,f718,f684,f178,f194]) ).
fof(f722,plain,
( ~ sQ22_spl
| ~ sQ17_spl
| sQ135_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f709,f718,f648,f178,f194]) ).
fof(f723,definition,
! [X0] :
( sQ143_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f724,plain,
! [X0] :
( ~ sQ143_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,plain,
( ~ sQ17_spl
| sQ129_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f713,f723,f592,f178]) ).
fof(f727,definition,
( sQ144_spl
<=> equalish(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f728,plain,
( ~ sQ144_spl
| equalish(e_3,e_2) ),
inference(component_clause,[status(thm)],[f727]) ).
fof(f730,plain,
( ~ sQ17_spl
| sQ144_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f714,f723,f727,f178]) ).
fof(f731,plain,
( ~ sQ144_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f728,f78]) ).
fof(f732,plain,
~ sQ144_spl,
inference(contradiction_clause,[status(thm)],[f731]) ).
fof(f733,plain,
( ~ sQ143_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f724,f96]) ).
fof(f738,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f176,f607]) ).
fof(f739,plain,
( ~ sQ131_spl
| ~ sQ16_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f176,f614]) ).
fof(f740,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ16_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f176,f612]) ).
fof(f741,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ16_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f176,f611]) ).
fof(f742,plain,
( ~ sQ16_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f176,f112]) ).
fof(f743,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f176,f95]) ).
fof(f744,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f176,f93]) ).
fof(f745,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f176,f91]) ).
fof(f746,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f176,f102]) ).
fof(f747,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f176,f101]) ).
fof(f748,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f176,f100]) ).
fof(f749,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f176,f98]) ).
fof(f750,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f738,f648,f175,f191]) ).
fof(f751,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| sQ139_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f740,f718,f684,f175,f191]) ).
fof(f752,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| sQ135_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f741,f718,f648,f175,f191]) ).
fof(f753,plain,
( ~ sQ16_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f742,f616,f175]) ).
fof(f754,definition,
! [X0] :
( sQ145_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f755,plain,
! [X0] :
( ~ sQ145_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,plain,
( ~ sQ16_spl
| sQ132_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f746,f754,f616,f175]) ).
fof(f758,definition,
( sQ146_spl
<=> equalish(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f761,plain,
( ~ sQ16_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f747,f754,f758,f175]) ).
fof(f762,plain,
( ~ sQ145_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f755,f96]) ).
fof(f763,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f173,f95]) ).
fof(f764,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f173,f93]) ).
fof(f765,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f173,f91]) ).
fof(f766,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f173,f102]) ).
fof(f767,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f173,f101]) ).
fof(f768,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f173,f100]) ).
fof(f769,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f173,f98]) ).
fof(f770,definition,
! [X0] :
( sQ147_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ 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_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,definition,
( sQ148_spl
<=> equalish(e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ148_spl
| equalish(e_1,e_5) ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,plain,
( ~ sQ15_spl
| sQ148_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f766,f770,f773,f172]) ).
fof(f777,plain,
( ~ sQ15_spl
| sQ135_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f767,f770,f648,f172]) ).
fof(f778,plain,
( ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f774,f72]) ).
fof(f779,plain,
~ sQ148_spl,
inference(contradiction_clause,[status(thm)],[f778]) ).
fof(f780,plain,
( ~ sQ147_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f771,f96]) ).
fof(f781,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f768,f173]) ).
fof(f782,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f768,f96]) ).
fof(f783,definition,
! [X0] :
( sQ149_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f784,plain,
! [X0] :
( ~ sQ149_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,plain,
( ~ sQ15_spl
| sQ146_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f781,f783,f758,f172]) ).
fof(f787,plain,
( ~ sQ15_spl
| sQ133_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f782,f770,f620,f172]) ).
fof(f788,plain,
! [X0] :
( ~ sQ149_spl
| ~ product(X0,e_5,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f784]) ).
fof(f792,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f169,f95]) ).
fof(f793,plain,
( ~ sQ14_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f169,f110]) ).
fof(f794,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f169,f93]) ).
fof(f795,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f169,f91]) ).
fof(f796,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f169,f102]) ).
fof(f797,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f169,f101]) ).
fof(f798,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f169,f100]) ).
fof(f799,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f169,f98]) ).
fof(f800,plain,
( ~ sQ14_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f793,f655,f168]) ).
fof(f801,definition,
! [X0] :
( sQ150_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f802,plain,
! [X0] :
( ~ sQ150_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( ~ sQ14_spl
| sQ139_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f796,f801,f684,f168]) ).
fof(f805,plain,
( ~ sQ14_spl
| sQ136_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f797,f801,f655,f168]) ).
fof(f806,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f166,f95]) ).
fof(f807,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f166,f93]) ).
fof(f808,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f166,f91]) ).
fof(f809,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f166,f102]) ).
fof(f810,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f166,f101]) ).
fof(f811,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f166,f100]) ).
fof(f812,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f166,f98]) ).
fof(f813,definition,
! [X0] :
( sQ151_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f814,plain,
! [X0] :
( ~ sQ151_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,plain,
( ~ sQ13_spl
| sQ126_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f809,f813,f568,f165]) ).
fof(f817,definition,
( sQ152_spl
<=> equalish(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f818,plain,
( ~ sQ152_spl
| equalish(e_4,e_3) ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,plain,
( ~ sQ13_spl
| sQ152_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f810,f813,f817,f165]) ).
fof(f821,plain,
( ~ sQ152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f818,f83]) ).
fof(f822,plain,
~ sQ152_spl,
inference(contradiction_clause,[status(thm)],[f821]) ).
fof(f823,plain,
( ~ sQ151_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f814,f96]) ).
fof(f824,plain,
( ~ sQ128_spl
| ~ sQ12_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f163,f590]) ).
fof(f825,plain,
( ~ sQ12_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f163,f112]) ).
fof(f826,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f163,f95]) ).
fof(f827,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f163,f93]) ).
fof(f828,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f163,f91]) ).
fof(f829,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f163,f102]) ).
fof(f830,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f163,f101]) ).
fof(f831,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f163,f100]) ).
fof(f832,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f163,f98]) ).
fof(f833,plain,
( ~ sQ12_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f825,f592,f162]) ).
fof(f834,definition,
! [X0] :
( sQ153_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f835,plain,
! [X0] :
( ~ sQ153_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f837,plain,
( ~ sQ12_spl
| sQ129_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f829,f834,f592,f162]) ).
fof(f838,definition,
( sQ154_spl
<=> equalish(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f841,plain,
( ~ sQ12_spl
| sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f830,f834,f838,f162]) ).
fof(f842,plain,
( ~ sQ153_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f835,f96]) ).
fof(f843,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f160,f607]) ).
fof(f844,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ11_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f160,f612]) ).
fof(f845,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ11_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f160,f611]) ).
fof(f846,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f160,f95]) ).
fof(f847,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f160,f93]) ).
fof(f848,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f160,f91]) ).
fof(f849,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f160,f102]) ).
fof(f850,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f160,f101]) ).
fof(f851,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f160,f100]) ).
fof(f852,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f160,f98]) ).
fof(f853,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f843,f641,f159,f191]) ).
fof(f854,definition,
! [X0] :
( sQ155_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f855,plain,
! [X0] :
( ~ sQ155_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| sQ139_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f844,f854,f684,f159,f191]) ).
fof(f858,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| sQ134_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f845,f854,f641,f159,f191]) ).
fof(f859,definition,
! [X0] :
( sQ156_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f860,plain,
! [X0] :
( ~ sQ156_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f859]) ).
fof(f862,plain,
( ~ sQ11_spl
| sQ132_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f849,f859,f616,f159]) ).
fof(f863,definition,
( sQ157_spl
<=> equalish(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f864,plain,
( ~ sQ157_spl
| equalish(e_2,e_3) ),
inference(component_clause,[status(thm)],[f863]) ).
fof(f866,plain,
( ~ sQ11_spl
| sQ157_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f850,f859,f863,f159]) ).
fof(f867,plain,
( ~ sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f864,f74]) ).
fof(f868,plain,
~ sQ157_spl,
inference(contradiction_clause,[status(thm)],[f867]) ).
fof(f869,plain,
( ~ sQ156_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f860,f96]) ).
fof(f870,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f157,f764]) ).
fof(f871,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f157,f95]) ).
fof(f872,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f157,f93]) ).
fof(f873,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f157,f91]) ).
fof(f874,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f157,f102]) ).
fof(f875,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f157,f101]) ).
fof(f876,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f157,f100]) ).
fof(f877,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f157,f98]) ).
fof(f878,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f870,f863,f156,f172]) ).
fof(f879,definition,
! [X0] :
( sQ158_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f880,plain,
! [X0] :
( ~ sQ158_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f882,plain,
( ~ sQ10_spl
| sQ148_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f874,f879,f773,f156]) ).
fof(f883,plain,
( ~ sQ10_spl
| sQ134_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f875,f879,f641,f156]) ).
fof(f884,plain,
( ~ sQ158_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f880,f96]) ).
fof(f885,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f876,f157]) ).
fof(f886,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f876,f96]) ).
fof(f887,definition,
! [X0] :
( sQ159_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f888,plain,
! [X0] :
( ~ sQ159_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f887]) ).
fof(f890,plain,
( ~ sQ10_spl
| sQ154_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f885,f887,f838,f156]) ).
fof(f891,plain,
( ~ sQ10_spl
| sQ130_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f886,f879,f596,f156]) ).
fof(f892,plain,
! [X0] :
( ~ sQ159_spl
| ~ product(X0,e_5,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f888]) ).
fof(f896,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f153,f95]) ).
fof(f897,plain,
( ~ sQ9_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f153,f110]) ).
fof(f898,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f153,f93]) ).
fof(f899,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f153,f91]) ).
fof(f900,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f153,f102]) ).
fof(f901,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f153,f101]) ).
fof(f902,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f153,f100]) ).
fof(f903,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f153,f98]) ).
fof(f904,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f897,f88]) ).
fof(f905,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f904]) ).
fof(f906,plain,
( ~ sQ125_spl
| ~ sQ8_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f150,f566]) ).
fof(f907,plain,
( ~ sQ8_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f150,f112]) ).
fof(f908,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f150,f95]) ).
fof(f909,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f150,f93]) ).
fof(f910,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f150,f91]) ).
fof(f911,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f150,f102]) ).
fof(f912,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f150,f101]) ).
fof(f913,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f150,f100]) ).
fof(f914,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f150,f98]) ).
fof(f915,plain,
( ~ sQ8_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f907,f568,f149]) ).
fof(f916,definition,
! [X0] :
( sQ160_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f917,plain,
! [X0] :
( ~ sQ160_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f919,plain,
( ~ sQ8_spl
| sQ126_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f911,f916,f568,f149]) ).
fof(f920,definition,
( sQ161_spl
<=> equalish(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f923,plain,
( ~ sQ8_spl
| sQ161_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f912,f916,f920,f149]) ).
fof(f924,plain,
( ~ sQ160_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f917,f96]) ).
fof(f925,plain,
( ~ sQ17_spl
| ~ sQ7_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f147,f711]) ).
fof(f926,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f147,f95]) ).
fof(f927,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f147,f93]) ).
fof(f928,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f147,f91]) ).
fof(f929,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f147,f102]) ).
fof(f930,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f147,f101]) ).
fof(f931,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f147,f100]) ).
fof(f932,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f147,f98]) ).
fof(f933,plain,
( ~ sQ17_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f925,f75]) ).
fof(f934,plain,
( ~ sQ17_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f933]) ).
fof(f935,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f144,f607]) ).
fof(f936,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ6_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f144,f612]) ).
fof(f937,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ6_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f144,f611]) ).
fof(f938,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f144,f95]) ).
fof(f939,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f144,f93]) ).
fof(f940,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f144,f91]) ).
fof(f941,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f144,f102]) ).
fof(f942,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f144,f101]) ).
fof(f943,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f144,f100]) ).
fof(f944,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f144,f98]) ).
fof(f945,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f935,f71]) ).
fof(f946,plain,
( ~ sQ21_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f945]) ).
fof(f947,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f141,f872]) ).
fof(f948,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f141,f95]) ).
fof(f949,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f141,f93]) ).
fof(f950,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f141,f91]) ).
fof(f951,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f141,f102]) ).
fof(f952,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f141,f101]) ).
fof(f953,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f141,f100]) ).
fof(f954,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f141,f98]) ).
fof(f955,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f947,f79]) ).
fof(f956,plain,
( ~ sQ10_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f955]) ).
fof(f957,definition,
! [X0] :
( sQ162_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f958,plain,
! [X0] :
( ~ sQ162_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f960,plain,
( ~ sQ5_spl
| sQ148_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f951,f957,f773,f140]) ).
fof(f961,definition,
( sQ163_spl
<=> equalish(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( ~ sQ163_spl
| equalish(e_1,e_4) ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f964,plain,
( ~ sQ5_spl
| sQ163_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f952,f957,f961,f140]) ).
fof(f965,plain,
( ~ sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f962,f71]) ).
fof(f966,plain,
~ sQ163_spl,
inference(contradiction_clause,[status(thm)],[f965]) ).
fof(f967,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f953,f141]) ).
fof(f968,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f953,f96]) ).
fof(f969,definition,
! [X0] :
( sQ164_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f970,plain,
! [X0] :
( ~ sQ164_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f972,plain,
( ~ sQ5_spl
| sQ161_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f967,f969,f920,f140]) ).
fof(f973,plain,
( ~ sQ5_spl
| sQ127_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f968,f957,f572,f140]) ).
fof(f974,plain,
! [X0] :
( ~ sQ164_spl
| ~ product(X0,e_5,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f970]) ).
fof(f975,definition,
! [X0] :
( sQ165_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f976,plain,
! [X0] :
( ~ sQ165_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f975]) ).
fof(f978,plain,
( ~ sQ6_spl
| sQ132_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f941,f975,f616,f143]) ).
fof(f979,definition,
( sQ166_spl
<=> equalish(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f980,plain,
( ~ sQ166_spl
| equalish(e_2,e_4) ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f982,plain,
( ~ sQ6_spl
| sQ166_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f942,f975,f979,f143]) ).
fof(f983,plain,
( ~ sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f980,f75]) ).
fof(f984,plain,
~ sQ166_spl,
inference(contradiction_clause,[status(thm)],[f983]) ).
fof(f985,plain,
( ~ sQ162_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f958,f96]) ).
fof(f990,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f943,f96]) ).
fof(f991,plain,
( ~ sQ6_spl
| sQ141_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f990,f975,f700,f143]) ).
fof(f992,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f944,f96]) ).
fof(f993,plain,
( ~ sQ6_spl
| sQ137_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f992,f975,f662,f143]) ).
fof(f994,plain,
( ~ sQ165_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f976,f96]) ).
fof(f995,plain,
! [X0] :
( ~ sQ49_spl
| ~ greater(e_5,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f286,f63]) ).
fof(f996,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f286,f95]) ).
fof(f997,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f286,f93]) ).
fof(f998,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f286,f91]) ).
fof(f999,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)],[f286,f102]) ).
fof(f1000,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)],[f286,f101]) ).
fof(f1001,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f286,f100]) ).
fof(f1002,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f286,f98]) ).
fof(f1003,definition,
! [X0] :
( sQ167_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1004,plain,
! [X0] :
( ~ sQ167_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1003]) ).
fof(f1006,definition,
( sQ168_spl
<=> equalish(e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1007,plain,
( ~ sQ168_spl
| equalish(e_5,e_4) ),
inference(component_clause,[status(thm)],[f1006]) ).
fof(f1009,plain,
( ~ sQ49_spl
| sQ168_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f999,f1003,f1006,f285]) ).
fof(f1010,definition,
( sQ169_spl
<=> equalish(e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1011,plain,
( ~ sQ169_spl
| equalish(e_5,e_1) ),
inference(component_clause,[status(thm)],[f1010]) ).
fof(f1013,plain,
( ~ sQ49_spl
| sQ169_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1000,f1003,f1010,f285]) ).
fof(f1014,plain,
( ~ sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1011,f85]) ).
fof(f1015,plain,
~ sQ169_spl,
inference(contradiction_clause,[status(thm)],[f1014]) ).
fof(f1016,plain,
( ~ sQ168_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1007,f88]) ).
fof(f1017,plain,
~ sQ168_spl,
inference(contradiction_clause,[status(thm)],[f1016]) ).
fof(f1018,plain,
! [X0] :
( ~ sQ48_spl
| ~ greater(e_4,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f283,f63]) ).
fof(f1019,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f283,f95]) ).
fof(f1020,plain,
( ~ sQ48_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f283,f110]) ).
fof(f1021,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f283,f93]) ).
fof(f1022,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f283,f91]) ).
fof(f1023,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)],[f283,f102]) ).
fof(f1024,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)],[f283,f101]) ).
fof(f1025,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f283,f100]) ).
fof(f1026,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f283,f98]) ).
fof(f1027,plain,
( ~ sQ48_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f1020,f572,f282]) ).
fof(f1028,definition,
! [X0] :
( sQ170_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1029,plain,
! [X0] :
( ~ sQ170_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1031,plain,
( ~ sQ48_spl
| sQ161_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1023,f1028,f920,f282]) ).
fof(f1032,plain,
( ~ sQ48_spl
| sQ127_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1024,f1028,f572,f282]) ).
fof(f1033,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f280,f582]) ).
fof(f1034,plain,
! [X0] :
( ~ sQ47_spl
| ~ greater(e_3,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f280,f63]) ).
fof(f1035,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ47_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f280,f588]) ).
fof(f1036,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ47_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f280,f587]) ).
fof(f1037,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f280,f95]) ).
fof(f1038,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f280,f93]) ).
fof(f1039,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_3,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f280,f91]) ).
fof(f1040,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)],[f280,f102]) ).
fof(f1041,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)],[f280,f101]) ).
fof(f1042,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f280,f100]) ).
fof(f1043,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f280,f98]) ).
fof(f1044,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1033,f1006,f279,f194]) ).
fof(f1045,definition,
! [X0] :
( sQ171_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1046,plain,
! [X0] :
( ~ sQ171_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1045]) ).
fof(f1048,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| sQ168_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1035,f1045,f1006,f279,f194]) ).
fof(f1049,definition,
( sQ172_spl
<=> equalish(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1052,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| sQ172_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1036,f1045,f1049,f279,f194]) ).
fof(f1053,definition,
! [X0] :
( sQ173_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1054,plain,
! [X0] :
( ~ sQ173_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1053]) ).
fof(f1056,definition,
( sQ174_spl
<=> equalish(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( ~ sQ174_spl
| equalish(e_3,e_4) ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1059,plain,
( ~ sQ47_spl
| sQ174_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1040,f1053,f1056,f279]) ).
fof(f1060,plain,
( ~ sQ47_spl
| sQ130_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1041,f1053,f596,f279]) ).
fof(f1061,plain,
( ~ sQ174_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1057,f79]) ).
fof(f1062,plain,
~ sQ174_spl,
inference(contradiction_clause,[status(thm)],[f1061]) ).
fof(f1063,plain,
! [X0] :
( ~ sQ46_spl
| ~ greater(e_2,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f277,f63]) ).
fof(f1064,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f277,f95]) ).
fof(f1065,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f277,f93]) ).
fof(f1066,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f277,f91]) ).
fof(f1067,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)],[f277,f102]) ).
fof(f1068,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)],[f277,f101]) ).
fof(f1069,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f277,f100]) ).
fof(f1070,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f277,f98]) ).
fof(f1071,definition,
! [X0] :
( sQ175_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1072,plain,
! [X0] :
( ~ sQ175_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1071]) ).
fof(f1074,plain,
( ~ sQ46_spl
| sQ166_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1067,f1071,f979,f276]) ).
fof(f1075,plain,
( ~ sQ46_spl
| sQ133_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1068,f1071,f620,f276]) ).
fof(f1076,plain,
! [X0] :
( ~ sQ45_spl
| ~ greater(e_1,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f274,f63]) ).
fof(f1077,plain,
( ~ sQ45_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f274,f112]) ).
fof(f1078,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f274,f95]) ).
fof(f1079,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f274,f93]) ).
fof(f1080,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f274,f91]) ).
fof(f1081,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)],[f274,f102]) ).
fof(f1082,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)],[f274,f101]) ).
fof(f1083,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f274,f100]) ).
fof(f1084,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f274,f98]) ).
fof(f1085,plain,
( ~ sQ45_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1077,f961,f273]) ).
fof(f1086,definition,
! [X0] :
( sQ176_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1087,plain,
! [X0] :
( ~ sQ176_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1086]) ).
fof(f1089,plain,
( ~ sQ45_spl
| sQ163_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f1081,f1086,f961,f273]) ).
fof(f1090,plain,
( ~ sQ45_spl
| sQ172_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f1082,f1086,f1049,f273]) ).
fof(f1091,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f270,f95]) ).
fof(f1092,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f270,f93]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_5,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f270,f91]) ).
fof(f1094,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f270,f102]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f270,f101]) ).
fof(f1096,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f270,f100]) ).
fof(f1097,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f270,f98]) ).
fof(f1098,definition,
! [X0] :
( sQ177_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1099,plain,
! [X0] :
( ~ sQ177_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1101,plain,
( ~ sQ44_spl
| sQ168_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1094,f1098,f1006,f269]) ).
fof(f1102,plain,
( ~ sQ44_spl
| sQ137_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1095,f1098,f662,f269]) ).
fof(f1103,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f267,f95]) ).
fof(f1104,plain,
( ~ sQ43_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f267,f110]) ).
fof(f1105,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f267,f93]) ).
fof(f1106,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f267,f91]) ).
fof(f1107,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f267,f102]) ).
fof(f1108,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f267,f101]) ).
fof(f1109,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f267,f100]) ).
fof(f1110,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f267,f98]) ).
fof(f1111,plain,
( ~ sQ43_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1104,f700,f266]) ).
fof(f1112,definition,
! [X0] :
( sQ178_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1113,plain,
! [X0] :
( ~ sQ178_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1112]) ).
fof(f1115,plain,
( ~ sQ43_spl
| sQ161_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1107,f1112,f920,f266]) ).
fof(f1116,plain,
( ~ sQ43_spl
| sQ141_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1108,f1112,f700,f266]) ).
fof(f1117,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ42_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f264,f588]) ).
fof(f1118,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ42_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f264,f587]) ).
fof(f1119,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f264,f95]) ).
fof(f1120,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f264,f93]) ).
fof(f1121,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f264,f91]) ).
fof(f1122,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f264,f102]) ).
fof(f1123,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f264,f101]) ).
fof(f1124,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f264,f100]) ).
fof(f1125,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f264,f98]) ).
fof(f1126,definition,
! [X0] :
( sQ179_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1127,plain,
! [X0] :
( ~ sQ179_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1126]) ).
fof(f1129,plain,
( ~ sQ22_spl
| ~ sQ42_spl
| sQ168_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1117,f1126,f1006,f263,f194]) ).
fof(f1130,plain,
( ~ sQ22_spl
| ~ sQ42_spl
| sQ135_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1118,f1126,f648,f263,f194]) ).
fof(f1131,definition,
! [X0] :
( sQ180_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1132,plain,
! [X0] :
( ~ sQ180_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1131]) ).
fof(f1134,plain,
( ~ sQ42_spl
| sQ174_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1122,f1131,f1056,f263]) ).
fof(f1135,plain,
( ~ sQ42_spl
| sQ144_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1123,f1131,f727,f263]) ).
fof(f1136,plain,
( ~ sQ131_spl
| ~ sQ41_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f261,f614]) ).
fof(f1137,plain,
( ~ sQ41_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f261,f112]) ).
fof(f1138,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f261,f95]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f261,f93]) ).
fof(f1140,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f261,f91]) ).
fof(f1141,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f261,f102]) ).
fof(f1142,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f261,f101]) ).
fof(f1143,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f261,f100]) ).
fof(f1144,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f261,f98]) ).
fof(f1145,plain,
( ~ sQ41_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f1137,f979,f260]) ).
fof(f1146,definition,
! [X0] :
( sQ181_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1147,plain,
! [X0] :
( ~ sQ181_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1146]) ).
fof(f1149,plain,
( ~ sQ41_spl
| sQ166_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1141,f1146,f979,f260]) ).
fof(f1150,plain,
( ~ sQ41_spl
| sQ146_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1142,f1146,f758,f260]) ).
fof(f1151,plain,
( ~ sQ15_spl
| ~ sQ40_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f258,f763]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f258,f95]) ).
fof(f1153,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f258,f93]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f258,f91]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f258,f102]) ).
fof(f1156,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f258,f101]) ).
fof(f1157,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f258,f100]) ).
fof(f1158,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f258,f98]) ).
fof(f1159,plain,
( ~ sQ15_spl
| ~ sQ40_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1151,f1006,f257,f172]) ).
fof(f1160,definition,
! [X0] :
( sQ182_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1161,plain,
! [X0] :
( ~ sQ182_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1160]) ).
fof(f1163,plain,
( ~ sQ40_spl
| sQ163_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1155,f1160,f961,f257]) ).
fof(f1164,plain,
( ~ sQ40_spl
| sQ135_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1156,f1160,f648,f257]) ).
fof(f1165,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f254,f95]) ).
fof(f1166,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f254,f93]) ).
fof(f1167,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f254,f91]) ).
fof(f1168,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f254,f102]) ).
fof(f1169,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f254,f101]) ).
fof(f1170,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f254,f100]) ).
fof(f1171,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f254,f98]) ).
fof(f1172,definition,
! [X0] :
( sQ183_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1173,plain,
! [X0] :
( ~ sQ183_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1172]) ).
fof(f1175,plain,
( ~ sQ39_spl
| sQ168_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1168,f1172,f1006,f253]) ).
fof(f1176,plain,
( ~ sQ39_spl
| sQ136_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1169,f1172,f655,f253]) ).
fof(f1177,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f251,f95]) ).
fof(f1178,plain,
( ~ sQ38_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f251,f110]) ).
fof(f1179,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f251,f93]) ).
fof(f1180,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f251,f91]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f251,f102]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f251,f101]) ).
fof(f1183,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f251,f100]) ).
fof(f1184,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f251,f98]) ).
fof(f1185,plain,
( ~ sQ38_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1178,f817,f250]) ).
fof(f1186,definition,
! [X0] :
( sQ184_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ184_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1186]) ).
fof(f1189,plain,
( ~ sQ38_spl
| sQ161_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1181,f1186,f920,f250]) ).
fof(f1190,plain,
( ~ sQ38_spl
| sQ152_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1182,f1186,f817,f250]) ).
fof(f1191,plain,
( ~ sQ128_spl
| ~ sQ37_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f248,f590]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ37_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f248,f588]) ).
fof(f1193,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ37_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f248,f587]) ).
fof(f1194,plain,
( ~ sQ37_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f248,f112]) ).
fof(f1195,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f248,f95]) ).
fof(f1196,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f248,f93]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f248,f91]) ).
fof(f1198,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f248,f102]) ).
fof(f1199,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f248,f101]) ).
fof(f1200,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f248,f100]) ).
fof(f1201,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f248,f98]) ).
fof(f1202,definition,
! [X0] :
( sQ185_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1203,plain,
! [X0] :
( ~ sQ185_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1202]) ).
fof(f1205,plain,
( ~ sQ22_spl
| ~ sQ37_spl
| sQ168_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1192,f1202,f1006,f247,f194]) ).
fof(f1206,plain,
( ~ sQ22_spl
| ~ sQ37_spl
| sQ134_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1193,f1202,f641,f247,f194]) ).
fof(f1207,plain,
( ~ sQ37_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1194,f1056,f247]) ).
fof(f1208,definition,
! [X0] :
( sQ186_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1209,plain,
! [X0] :
( ~ sQ186_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1208]) ).
fof(f1211,plain,
( ~ sQ37_spl
| sQ174_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1198,f1208,f1056,f247]) ).
fof(f1212,plain,
( ~ sQ37_spl
| sQ154_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1199,f1208,f838,f247]) ).
fof(f1213,plain,
( ~ sQ11_spl
| ~ sQ36_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f245,f846]) ).
fof(f1214,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f245,f95]) ).
fof(f1215,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f245,f93]) ).
fof(f1216,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f245,f91]) ).
fof(f1217,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f245,f102]) ).
fof(f1218,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f245,f101]) ).
fof(f1219,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f245,f100]) ).
fof(f1220,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f245,f98]) ).
fof(f1221,plain,
( ~ sQ11_spl
| ~ sQ36_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1213,f1006,f244,f159]) ).
fof(f1222,definition,
! [X0] :
( sQ187_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1223,plain,
! [X0] :
( ~ sQ187_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1222]) ).
fof(f1225,plain,
( ~ sQ36_spl
| sQ166_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1217,f1222,f979,f244]) ).
fof(f1226,plain,
( ~ sQ36_spl
| sQ157_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1218,f1222,f863,f244]) ).
fof(f1227,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f242,f95]) ).
fof(f1228,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f242,f93]) ).
fof(f1229,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f242,f91]) ).
fof(f1230,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f242,f102]) ).
fof(f1231,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f242,f101]) ).
fof(f1232,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f242,f100]) ).
fof(f1233,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f242,f98]) ).
fof(f1234,definition,
! [X0] :
( sQ188_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ188_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1234]) ).
fof(f1237,plain,
( ~ sQ35_spl
| sQ163_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1230,f1234,f961,f241]) ).
fof(f1238,plain,
( ~ sQ35_spl
| sQ134_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1231,f1234,f641,f241]) ).
fof(f1239,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f238,f95]) ).
fof(f1240,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f238,f93]) ).
fof(f1241,plain,
( ~ sQ34_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f238,f108]) ).
fof(f1242,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_5,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f238,f91]) ).
fof(f1243,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f238,f102]) ).
fof(f1245,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f238,f100]) ).
fof(f1246,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f238,f98]) ).
fof(f1247,plain,
( ~ sQ34_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f1241,f568,f237]) ).
fof(f1248,definition,
! [X0] :
( sQ189_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1249,plain,
! [X0] :
( ~ sQ189_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1248]) ).
fof(f1251,plain,
( ~ sQ34_spl
| sQ168_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1243,f1248,f1006,f237]) ).
fof(f1253,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ32_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f232,f588]) ).
fof(f1254,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ32_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f232,f587]) ).
fof(f1255,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f232,f95]) ).
fof(f1256,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f232,f93]) ).
fof(f1257,plain,
( ~ sQ32_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f232,f108]) ).
fof(f1258,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f232,f91]) ).
fof(f1259,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f232,f102]) ).
fof(f1261,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f232,f100]) ).
fof(f1262,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f232,f98]) ).
fof(f1263,plain,
( ~ sQ22_spl
| ~ sQ32_spl
| sQ168_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1253,f565,f1006,f231,f194]) ).
fof(f1264,plain,
( ~ sQ22_spl
| ~ sQ32_spl
| sQ163_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1254,f565,f961,f231,f194]) ).
fof(f1265,plain,
( ~ sQ32_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1257,f817,f231]) ).
fof(f1266,definition,
! [X0] :
( sQ190_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1267,plain,
! [X0] :
( ~ sQ190_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1266]) ).
fof(f1269,plain,
( ~ sQ32_spl
| sQ174_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1259,f1266,f1056,f231]) ).
fof(f1271,plain,
( ~ sQ173_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f1054,f96]) ).
fof(f1272,plain,
( ~ sQ175_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1072,f96]) ).
fof(f1273,plain,
( ~ sQ176_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f1087,f96]) ).
fof(f1274,plain,
( ~ sQ180_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1132,f96]) ).
fof(f1275,plain,
( ~ sQ181_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f1147,f96]) ).
fof(f1276,plain,
( ~ sQ182_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1161,f96]) ).
fof(f1277,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)],[f1069,f96]) ).
fof(f1278,plain,
( ~ sQ46_spl
| sQ135_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1277,f1071,f648,f276]) ).
fof(f1279,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)],[f1070,f96]) ).
fof(f1280,plain,
( ~ sQ46_spl
| sQ141_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1279,f1071,f700,f276]) ).
fof(f1281,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1124,f96]) ).
fof(f1282,plain,
( ~ sQ42_spl
| sQ157_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1281,f1131,f863,f263]) ).
fof(f1283,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1125,f96]) ).
fof(f1284,plain,
( ~ sQ42_spl
| sQ152_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1283,f1131,f817,f263]) ).
fof(f1285,plain,
( ~ sQ186_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f1209,f96]) ).
fof(f1286,plain,
( ~ sQ187_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1223,f96]) ).
fof(f1287,plain,
( ~ sQ188_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1235,f96]) ).
fof(f1288,plain,
( ~ sQ189_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f1249,f96]) ).
fof(f1289,plain,
( ~ sQ190_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f1267,f96]) ).
fof(f1290,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1232,f242]) ).
fof(f1291,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1232,f96]) ).
fof(f1292,definition,
! [X0] :
( sQ191_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ191_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1292]) ).
fof(f1295,plain,
( ~ sQ35_spl
| sQ154_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1290,f1292,f838,f241]) ).
fof(f1296,plain,
( ~ sQ35_spl
| sQ130_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1291,f1234,f596,f241]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ191_spl
| ~ product(X0,e_4,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f1293]) ).
fof(f1301,plain,
( ~ sQ46_spl
| ~ sQ31_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f229,f1065]) ).
fof(f1302,plain,
( ~ sQ179_spl
| ~ sQ31_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f229,f1127]) ).
fof(f1303,plain,
( ~ sQ178_spl
| ~ sQ31_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f229,f1113]) ).
fof(f1304,plain,
( ~ sQ177_spl
| ~ sQ31_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f229,f1099]) ).
fof(f1305,plain,
( ~ sQ6_spl
| ~ sQ31_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f229,f938]) ).
fof(f1306,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ31_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f229,f1070]) ).
fof(f1307,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ31_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f229,f1069]) ).
fof(f1308,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f229,f95]) ).
fof(f1309,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f229,f93]) ).
fof(f1310,plain,
( ~ sQ31_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f229,f108]) ).
fof(f1311,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f229,f91]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f229,f102]) ).
fof(f1314,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f229,f100]) ).
fof(f1315,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f229,f98]) ).
fof(f1316,plain,
( ~ sQ46_spl
| ~ sQ31_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1301,f961,f228,f276]) ).
fof(f1317,plain,
( ~ sQ178_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1303,f96]) ).
fof(f1318,plain,
( ~ sQ178_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1317]) ).
fof(f1319,plain,
( ~ sQ35_spl
| ~ sQ30_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f226,f1228]) ).
fof(f1320,plain,
( ~ sQ171_spl
| ~ sQ30_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f226,f1046]) ).
fof(f1321,plain,
( ~ sQ170_spl
| ~ sQ30_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f226,f1029]) ).
fof(f1322,plain,
( ~ sQ167_spl
| ~ sQ30_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f226,f1004]) ).
fof(f1323,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f226,f95]) ).
fof(f1324,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f226,f93]) ).
fof(f1325,plain,
( ~ sQ30_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f226,f108]) ).
fof(f1326,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f226,f91]) ).
fof(f1327,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f226,f102]) ).
fof(f1329,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f226,f100]) ).
fof(f1330,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f226,f98]) ).
fof(f1331,plain,
( ~ sQ35_spl
| ~ sQ30_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1319,f1056,f225,f241]) ).
fof(f1332,plain,
( ~ sQ170_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1321,f96]) ).
fof(f1333,plain,
( ~ sQ170_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1332]) ).
fof(f1334,plain,
( ~ sQ30_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f1325,f572,f225]) ).
fof(f1335,definition,
! [X0] :
( sQ192_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1336,plain,
! [X0] :
( ~ sQ192_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1335]) ).
fof(f1338,plain,
( ~ sQ30_spl
| sQ163_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1327,f1335,f961,f225]) ).
fof(f1340,plain,
( ~ sQ31_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1310,f700,f228]) ).
fof(f1341,definition,
! [X0] :
( sQ193_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1342,plain,
! [X0] :
( ~ sQ193_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1341]) ).
fof(f1344,plain,
( ~ sQ31_spl
| sQ166_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1312,f1341,f979,f228]) ).
fof(f1346,plain,
( ~ sQ192_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f1336,f96]) ).
fof(f1347,plain,
( ~ sQ193_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f1342,f96]) ).
fof(f1360,plain,
( ~ sQ29_spl
| ~ sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f222,f1288]) ).
fof(f1361,plain,
( ~ sQ29_spl
| ~ sQ189_spl ),
inference(contradiction_clause,[status(thm)],[f1360]) ).
fof(f1362,plain,
( ~ sQ28_spl
| ~ sQ164_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f219,f974]) ).
fof(f1363,plain,
( ~ sQ28_spl
| ~ sQ164_spl ),
inference(contradiction_clause,[status(thm)],[f1362]) ).
fof(f1371,plain,
( ~ sQ27_spl
| ~ sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f216,f892]) ).
fof(f1372,plain,
( ~ sQ27_spl
| ~ sQ159_spl ),
inference(contradiction_clause,[status(thm)],[f1371]) ).
fof(f1377,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f852,f96]) ).
fof(f1378,plain,
( ~ sQ11_spl
| sQ137_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1377,f859,f662,f159]) ).
fof(f1379,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f851,f96]) ).
fof(f1380,plain,
( ~ sQ11_spl
| sQ144_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1379,f859,f727,f159]) ).
fof(f1381,plain,
( ~ sQ26_spl
| ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f213,f788]) ).
fof(f1382,plain,
( ~ sQ26_spl
| ~ sQ149_spl ),
inference(contradiction_clause,[status(thm)],[f1381]) ).
fof(f1385,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f769,f96]) ).
fof(f1386,plain,
( ~ sQ15_spl
| sQ169_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f1385,f770,f1010,f172]) ).
fof(f1391,plain,
( ~ sQ25_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f210,f580]) ).
fof(f1392,plain,
( ~ sQ25_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f1391]) ).
fof(f1393,plain,
( ~ sQ26_spl
| ~ sQ140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f213,f706]) ).
fof(f1394,plain,
( ~ sQ26_spl
| ~ sQ140_spl ),
inference(contradiction_clause,[status(thm)],[f1393]) ).
fof(f1395,plain,
( ~ sQ27_spl
| ~ sQ151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f216,f823]) ).
fof(f1396,plain,
( ~ sQ27_spl
| ~ sQ151_spl ),
inference(contradiction_clause,[status(thm)],[f1395]) ).
fof(f1397,plain,
( ~ sQ28_spl
| ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f219,f924]) ).
fof(f1398,plain,
( ~ sQ28_spl
| ~ sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f1397]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ74_spl
| ~ greater(e_5,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f371,f63]) ).
fof(f1400,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f371,f95]) ).
fof(f1401,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f371,f93]) ).
fof(f1402,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f371,f91]) ).
fof(f1403,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f371,f102]) ).
fof(f1404,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f371,f101]) ).
fof(f1405,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f371,f100]) ).
fof(f1406,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f371,f98]) ).
fof(f1407,definition,
! [X0] :
( sQ194_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1408,plain,
! [X0] :
( ~ sQ194_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1407]) ).
fof(f1410,plain,
( ~ sQ74_spl
| sQ136_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1403,f1407,f655,f370]) ).
fof(f1411,plain,
( ~ sQ74_spl
| sQ169_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1404,f1407,f1010,f370]) ).
fof(f1412,plain,
! [X0] :
( ~ sQ73_spl
| ~ greater(e_4,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f368,f63]) ).
fof(f1413,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f368,f95]) ).
fof(f1414,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f368,f93]) ).
fof(f1415,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f368,f91]) ).
fof(f1416,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f368,f102]) ).
fof(f1417,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f368,f101]) ).
fof(f1418,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f368,f100]) ).
fof(f1419,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f368,f98]) ).
fof(f1420,definition,
! [X0] :
( sQ195_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1421,plain,
! [X0] :
( ~ sQ195_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1420]) ).
fof(f1423,plain,
( ~ sQ73_spl
| sQ152_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1416,f1420,f817,f367]) ).
fof(f1424,plain,
( ~ sQ73_spl
| sQ127_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1417,f1420,f572,f367]) ).
fof(f1425,plain,
( ~ sQ22_spl
| ~ sQ72_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f365,f582]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ72_spl
| ~ greater(e_3,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f365,f63]) ).
fof(f1427,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ72_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f365,f588]) ).
fof(f1428,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ72_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f365,f587]) ).
fof(f1429,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ72_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f365,f1125]) ).
fof(f1430,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ72_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f365,f1124]) ).
fof(f1431,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f365,f95]) ).
fof(f1432,plain,
( ~ sQ72_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f365,f110]) ).
fof(f1433,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f365,f93]) ).
fof(f1434,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f365,f91]) ).
fof(f1435,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f365,f102]) ).
fof(f1436,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f365,f101]) ).
fof(f1437,plain,
! [X0,X1,X2] :
( ~ sQ72_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f365,f100]) ).
fof(f1438,plain,
! [X0,X1,X2] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f365,f98]) ).
fof(f1439,plain,
( ~ sQ22_spl
| ~ sQ72_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1425,f655,f364,f194]) ).
fof(f1440,definition,
! [X0] :
( sQ196_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1441,plain,
! [X0] :
( ~ sQ196_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1440]) ).
fof(f1443,plain,
( ~ sQ22_spl
| ~ sQ72_spl
| sQ136_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f1427,f1440,f655,f364,f194]) ).
fof(f1444,plain,
( ~ sQ22_spl
| ~ sQ72_spl
| sQ172_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f1428,f1440,f1049,f364,f194]) ).
fof(f1445,definition,
! [X0] :
( sQ197_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1446,plain,
! [X0] :
( ~ sQ197_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1445]) ).
fof(f1448,plain,
( ~ sQ42_spl
| ~ sQ72_spl
| sQ152_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1429,f1445,f817,f364,f263]) ).
fof(f1449,plain,
( ~ sQ42_spl
| ~ sQ72_spl
| sQ133_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1430,f1445,f620,f364,f263]) ).
fof(f1450,plain,
( ~ sQ72_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f1432,f596,f364]) ).
fof(f1451,definition,
! [X0] :
( sQ198_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1452,plain,
! [X0] :
( ~ sQ198_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1451]) ).
fof(f1454,plain,
( ~ sQ72_spl
| sQ154_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1435,f1451,f838,f364]) ).
fof(f1455,plain,
( ~ sQ72_spl
| sQ130_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1436,f1451,f596,f364]) ).
fof(f1456,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f362,f1064]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ71_spl
| ~ greater(e_2,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f362,f63]) ).
fof(f1458,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ71_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f362,f851]) ).
fof(f1459,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ71_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f362,f852]) ).
fof(f1460,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ71_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f362,f943]) ).
fof(f1461,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ71_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f362,f944]) ).
fof(f1462,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ71_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f362,f1070]) ).
fof(f1463,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ71_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f362,f1069]) ).
fof(f1464,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f362,f95]) ).
fof(f1465,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f362,f93]) ).
fof(f1466,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f362,f91]) ).
fof(f1467,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f362,f102]) ).
fof(f1468,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f362,f101]) ).
fof(f1469,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f362,f100]) ).
fof(f1470,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f362,f98]) ).
fof(f1471,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1456,f817,f361,f276]) ).
fof(f1472,definition,
! [X0] :
( sQ199_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1473,plain,
! [X0] :
( ~ sQ199_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f1472]) ).
fof(f1475,plain,
( ~ sQ11_spl
| ~ sQ71_spl
| sQ130_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1458,f1472,f596,f361,f159]) ).
fof(f1476,plain,
( ~ sQ11_spl
| ~ sQ71_spl
| sQ136_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1459,f1472,f655,f361,f159]) ).
fof(f1477,definition,
! [X0] :
( sQ200_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1478,plain,
! [X0] :
( ~ sQ200_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1477]) ).
fof(f1480,plain,
( ~ sQ6_spl
| ~ sQ71_spl
| sQ127_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1460,f1477,f572,f361,f143]) ).
fof(f1481,plain,
( ~ sQ6_spl
| ~ sQ71_spl
| sQ136_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1461,f1477,f655,f361,f143]) ).
fof(f1482,definition,
! [X0] :
( sQ201_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1483,plain,
! [X0] :
( ~ sQ201_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1482]) ).
fof(f1485,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| sQ152_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1462,f1482,f817,f361,f276]) ).
fof(f1486,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| sQ172_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1463,f1482,f1049,f361,f276]) ).
fof(f1487,definition,
! [X0] :
( sQ202_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1488,plain,
! [X0] :
( ~ sQ202_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1487]) ).
fof(f1490,plain,
( ~ sQ71_spl
| sQ157_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1467,f1487,f863,f361]) ).
fof(f1491,plain,
( ~ sQ71_spl
| sQ133_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1468,f1487,f620,f361]) ).
fof(f1492,plain,
( ~ sQ202_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f1488,f96]) ).
fof(f1493,plain,
( ~ sQ147_spl
| ~ sQ70_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f359,f771]) ).
fof(f1494,plain,
( ~ sQ158_spl
| ~ sQ70_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f359,f880]) ).
fof(f1495,plain,
( ~ sQ162_spl
| ~ sQ70_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f359,f958]) ).
fof(f1496,plain,
( ~ sQ192_spl
| ~ sQ70_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f359,f1336]) ).
fof(f1497,plain,
( ~ sQ182_spl
| ~ sQ70_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f359,f1161]) ).
fof(f1498,plain,
( ~ sQ176_spl
| ~ sQ70_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f359,f1087]) ).
fof(f1499,plain,
! [X0] :
( ~ sQ70_spl
| ~ greater(e_1,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f359,f63]) ).
fof(f1500,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ70_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f359,f768]) ).
fof(f1501,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ70_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f359,f769]) ).
fof(f1502,plain,
( ~ sQ70_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f359,f112]) ).
fof(f1503,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f359,f95]) ).
fof(f1504,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f359,f93]) ).
fof(f1505,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f359,f91]) ).
fof(f1506,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f359,f102]) ).
fof(f1507,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f359,f101]) ).
fof(f1508,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f359,f100]) ).
fof(f1509,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f359,f98]) ).
fof(f1510,definition,
! [X0] :
( sQ203_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1511,plain,
! [X0] :
( ~ sQ203_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1510]) ).
fof(f1513,plain,
( ~ sQ15_spl
| ~ sQ70_spl
| sQ133_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f1500,f1510,f620,f358,f172]) ).
fof(f1514,plain,
( ~ sQ15_spl
| ~ sQ70_spl
| sQ136_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f1501,f1510,f655,f358,f172]) ).
fof(f1515,plain,
( ~ sQ70_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1502,f641,f358]) ).
fof(f1516,definition,
! [X0] :
( sQ204_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1517,plain,
! [X0] :
( ~ sQ204_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1516]) ).
fof(f1519,plain,
( ~ sQ70_spl
| sQ134_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1506,f1516,f641,f358]) ).
fof(f1520,plain,
( ~ sQ70_spl
| sQ172_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1507,f1516,f1049,f358]) ).
fof(f1521,plain,
( ~ sQ204_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f1517,f96]) ).
fof(f1522,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1418,f96]) ).
fof(f1523,plain,
( ~ sQ73_spl
| sQ163_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1522,f1420,f961,f367]) ).
fof(f1524,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f355,f95]) ).
fof(f1525,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f355,f93]) ).
fof(f1526,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f355,f91]) ).
fof(f1527,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f355,f102]) ).
fof(f1528,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f355,f101]) ).
fof(f1529,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f355,f100]) ).
fof(f1530,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f355,f98]) ).
fof(f1531,definition,
! [X0] :
( sQ205_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1532,plain,
! [X0] :
( ~ sQ205_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1531]) ).
fof(f1534,plain,
( ~ sQ69_spl
| sQ136_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1527,f1531,f655,f354]) ).
fof(f1535,plain,
( ~ sQ69_spl
| sQ137_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1528,f1531,f662,f354]) ).
fof(f1536,plain,
( ~ sQ73_spl
| ~ sQ68_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f352,f1414]) ).
fof(f1537,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ68_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f352,f1418]) ).
fof(f1538,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f352,f95]) ).
fof(f1539,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f352,f93]) ).
fof(f1540,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f352,f91]) ).
fof(f1541,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f352,f102]) ).
fof(f1542,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f352,f101]) ).
fof(f1543,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f352,f100]) ).
fof(f1544,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f352,f98]) ).
fof(f1545,plain,
( ~ sQ73_spl
| ~ sQ68_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1536,f648,f351,f367]) ).
fof(f1546,definition,
! [X0] :
( sQ206_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1547,plain,
! [X0] :
( ~ sQ206_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1546]) ).
fof(f1549,plain,
( ~ sQ73_spl
| ~ sQ68_spl
| sQ135_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f1537,f1546,f648,f351,f367]) ).
fof(f1550,definition,
! [X0] :
( sQ207_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ207_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1550]) ).
fof(f1553,plain,
( ~ sQ68_spl
| sQ152_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1541,f1550,f817,f351]) ).
fof(f1554,plain,
( ~ sQ68_spl
| sQ141_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1542,f1550,f700,f351]) ).
fof(f1555,plain,
( ~ sQ42_spl
| ~ sQ67_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f349,f1119]) ).
fof(f1556,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ67_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f349,f588]) ).
fof(f1557,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ67_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f349,f587]) ).
fof(f1558,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ67_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f349,f1125]) ).
fof(f1559,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ67_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f349,f1124]) ).
fof(f1560,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f349,f95]) ).
fof(f1561,plain,
( ~ sQ67_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f349,f110]) ).
fof(f1562,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f349,f93]) ).
fof(f1563,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f349,f91]) ).
fof(f1564,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f349,f102]) ).
fof(f1565,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f349,f101]) ).
fof(f1566,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f349,f100]) ).
fof(f1567,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f349,f98]) ).
fof(f1568,plain,
( ~ sQ42_spl
| ~ sQ67_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1555,f817,f348,f263]) ).
fof(f1569,definition,
! [X0] :
( sQ208_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1570,plain,
! [X0] :
( ~ sQ208_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1569]) ).
fof(f1572,plain,
( ~ sQ22_spl
| ~ sQ67_spl
| sQ136_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1556,f1569,f655,f348,f194]) ).
fof(f1573,plain,
( ~ sQ22_spl
| ~ sQ67_spl
| sQ135_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1557,f1569,f648,f348,f194]) ).
fof(f1574,definition,
! [X0] :
( sQ209_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1575,plain,
! [X0] :
( ~ sQ209_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1574]) ).
fof(f1577,plain,
( ~ sQ42_spl
| ~ sQ67_spl
| sQ152_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f1558,f1574,f817,f348,f263]) ).
fof(f1578,plain,
( ~ sQ42_spl
| ~ sQ67_spl
| sQ146_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f1559,f1574,f758,f348,f263]) ).
fof(f1579,plain,
( ~ sQ67_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1561,f727,f348]) ).
fof(f1580,definition,
! [X0] :
( sQ210_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1581,plain,
! [X0] :
( ~ sQ210_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1580]) ).
fof(f1583,plain,
( ~ sQ67_spl
| sQ154_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1564,f1580,f838,f348]) ).
fof(f1584,plain,
( ~ sQ67_spl
| sQ144_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1565,f1580,f727,f348]) ).
fof(f1585,plain,
( ~ sQ202_spl
| ~ sQ66_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f346,f1488]) ).
fof(f1586,plain,
( ~ sQ145_spl
| ~ sQ66_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f346,f755]) ).
fof(f1587,plain,
( ~ sQ156_spl
| ~ sQ66_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f346,f860]) ).
fof(f1588,plain,
( ~ sQ165_spl
| ~ sQ66_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f346,f976]) ).
fof(f1589,plain,
( ~ sQ193_spl
| ~ sQ66_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f346,f1342]) ).
fof(f1590,plain,
( ~ sQ181_spl
| ~ sQ66_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f346,f1147]) ).
fof(f1591,plain,
( ~ sQ175_spl
| ~ sQ66_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f346,f1072]) ).
fof(f1592,plain,
( ~ sQ131_spl
| ~ sQ66_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f346,f614]) ).
fof(f1593,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ66_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f346,f851]) ).
fof(f1594,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ66_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f346,f852]) ).
fof(f1595,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ66_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f346,f943]) ).
fof(f1596,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ66_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f346,f944]) ).
fof(f1597,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ66_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f346,f1070]) ).
fof(f1598,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ66_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f346,f1069]) ).
fof(f1599,plain,
( ~ sQ66_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f346,f112]) ).
fof(f1600,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f346,f95]) ).
fof(f1601,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f346,f93]) ).
fof(f1602,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f346,f91]) ).
fof(f1603,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f346,f102]) ).
fof(f1604,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f346,f101]) ).
fof(f1605,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f346,f100]) ).
fof(f1606,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f346,f98]) ).
fof(f1607,definition,
! [X0] :
( sQ211_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1608,plain,
! [X0] :
( ~ sQ211_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f1607]) ).
fof(f1610,plain,
( ~ sQ11_spl
| ~ sQ66_spl
| sQ144_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1593,f1607,f727,f345,f159]) ).
fof(f1611,plain,
( ~ sQ11_spl
| ~ sQ66_spl
| sQ136_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1594,f1607,f655,f345,f159]) ).
fof(f1612,definition,
! [X0] :
( sQ212_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1613,plain,
! [X0] :
( ~ sQ212_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1612]) ).
fof(f1615,plain,
( ~ sQ6_spl
| ~ sQ66_spl
| sQ141_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f1595,f1612,f700,f345,f143]) ).
fof(f1616,plain,
( ~ sQ6_spl
| ~ sQ66_spl
| sQ136_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f1596,f1612,f655,f345,f143]) ).
fof(f1617,definition,
! [X0] :
( sQ213_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1618,plain,
! [X0] :
( ~ sQ213_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1617]) ).
fof(f1620,plain,
( ~ sQ46_spl
| ~ sQ66_spl
| sQ152_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f1597,f1617,f817,f345,f276]) ).
fof(f1621,plain,
( ~ sQ46_spl
| ~ sQ66_spl
| sQ135_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f1598,f1617,f648,f345,f276]) ).
fof(f1622,plain,
( ~ sQ66_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1599,f863,f345]) ).
fof(f1623,definition,
! [X0] :
( sQ214_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1624,plain,
! [X0] :
( ~ sQ214_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1623]) ).
fof(f1626,plain,
( ~ sQ66_spl
| sQ157_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f1603,f1623,f863,f345]) ).
fof(f1627,plain,
( ~ sQ66_spl
| sQ146_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f1604,f1623,f758,f345]) ).
fof(f1628,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f343,f763]) ).
fof(f1629,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ65_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f343,f768]) ).
fof(f1630,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ65_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f343,f769]) ).
fof(f1631,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f343,f95]) ).
fof(f1632,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f343,f93]) ).
fof(f1633,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f343,f91]) ).
fof(f1634,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f343,f102]) ).
fof(f1635,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f343,f101]) ).
fof(f1636,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f343,f100]) ).
fof(f1637,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f343,f98]) ).
fof(f1638,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1628,f655,f342,f172]) ).
fof(f1639,definition,
! [X0] :
( sQ215_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1640,plain,
! [X0] :
( ~ sQ215_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1639]) ).
fof(f1642,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| sQ146_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f1629,f1639,f758,f342,f172]) ).
fof(f1643,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| sQ136_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f1630,f1639,f655,f342,f172]) ).
fof(f1644,definition,
! [X0] :
( sQ216_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ216_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1644]) ).
fof(f1647,plain,
( ~ sQ65_spl
| sQ134_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f1634,f1644,f641,f342]) ).
fof(f1648,plain,
( ~ sQ65_spl
| sQ135_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f1635,f1644,f648,f342]) ).
fof(f1649,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f339,f95]) ).
fof(f1650,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f339,f93]) ).
fof(f1651,plain,
( ~ sQ64_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f339,f108]) ).
fof(f1652,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_5,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f339,f91]) ).
fof(f1653,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f339,f102]) ).
fof(f1655,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f339,f100]) ).
fof(f1656,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f339,f98]) ).
fof(f1657,plain,
( ~ sQ64_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1651,f592,f338]) ).
fof(f1658,definition,
! [X0] :
( sQ217_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1659,plain,
! [X0] :
( ~ sQ217_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1658]) ).
fof(f1661,plain,
( ~ sQ64_spl
| sQ136_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f1653,f1658,f655,f338]) ).
fof(f1663,plain,
( ~ sQ73_spl
| ~ sQ63_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f336,f1414]) ).
fof(f1664,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ63_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f336,f1418]) ).
fof(f1665,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f336,f95]) ).
fof(f1666,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f336,f93]) ).
fof(f1667,plain,
( ~ sQ63_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f336,f108]) ).
fof(f1668,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f336,f91]) ).
fof(f1669,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f336,f102]) ).
fof(f1671,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f336,f100]) ).
fof(f1672,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f336,f98]) ).
fof(f1673,plain,
( ~ sQ73_spl
| ~ sQ63_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1663,f641,f335,f367]) ).
fof(f1674,plain,
( ~ sQ73_spl
| ~ sQ63_spl
| sQ134_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1664,f1451,f641,f335,f367]) ).
fof(f1675,plain,
( ~ sQ63_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1667,f1056,f335]) ).
fof(f1676,plain,
( ~ sQ63_spl
| sQ152_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1669,f1266,f817,f335]) ).
fof(f1678,plain,
( ~ sQ11_spl
| ~ sQ61_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f330,f846]) ).
fof(f1679,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ61_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f330,f851]) ).
fof(f1680,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ61_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f330,f852]) ).
fof(f1681,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ61_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f330,f943]) ).
fof(f1682,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ61_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f330,f944]) ).
fof(f1683,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ61_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f330,f1070]) ).
fof(f1684,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ61_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f330,f1069]) ).
fof(f1685,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f330,f95]) ).
fof(f1686,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f330,f93]) ).
fof(f1687,plain,
( ~ sQ61_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f330,f108]) ).
fof(f1688,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f330,f91]) ).
fof(f1689,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f330,f102]) ).
fof(f1691,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f330,f100]) ).
fof(f1692,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f330,f98]) ).
fof(f1693,plain,
( ~ sQ11_spl
| ~ sQ61_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1678,f655,f329,f159]) ).
fof(f1694,plain,
( ~ sQ11_spl
| ~ sQ61_spl
| sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1679,f834,f838,f329,f159]) ).
fof(f1695,plain,
( ~ sQ11_spl
| ~ sQ61_spl
| sQ136_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1680,f834,f655,f329,f159]) ).
fof(f1696,definition,
! [X0] :
( sQ218_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1697,plain,
! [X0] :
( ~ sQ218_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1696]) ).
fof(f1699,plain,
( ~ sQ6_spl
| ~ sQ61_spl
| sQ152_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1681,f1696,f817,f329,f143]) ).
fof(f1700,plain,
( ~ sQ6_spl
| ~ sQ61_spl
| sQ136_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1682,f1696,f655,f329,f143]) ).
fof(f1701,plain,
( ~ sQ46_spl
| ~ sQ61_spl
| sQ152_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1683,f1053,f817,f329,f276]) ).
fof(f1702,plain,
( ~ sQ46_spl
| ~ sQ61_spl
| sQ134_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1684,f1053,f641,f329,f276]) ).
fof(f1703,plain,
( ~ sQ61_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1687,f727,f329]) ).
fof(f1704,definition,
! [X0] :
( sQ219_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1705,plain,
! [X0] :
( ~ sQ219_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1704]) ).
fof(f1707,plain,
( ~ sQ61_spl
| sQ157_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f1689,f1704,f863,f329]) ).
fof(f1709,plain,
( ~ sQ199_spl
| ~ sQ60_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f327,f1473]) ).
fof(f1710,plain,
( ~ sQ200_spl
| ~ sQ60_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f327,f1478]) ).
fof(f1711,plain,
( ~ sQ201_spl
| ~ sQ60_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f327,f1483]) ).
fof(f1712,plain,
( ~ sQ196_spl
| ~ sQ60_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f327,f1441]) ).
fof(f1713,plain,
( ~ sQ197_spl
| ~ sQ60_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f327,f1446]) ).
fof(f1714,plain,
( ~ sQ198_spl
| ~ sQ60_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f327,f1452]) ).
fof(f1715,plain,
( ~ sQ195_spl
| ~ sQ60_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f327,f1421]) ).
fof(f1716,plain,
( ~ sQ194_spl
| ~ sQ60_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f327,f1408]) ).
fof(f1717,plain,
( ~ sQ35_spl
| ~ sQ60_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f327,f1227]) ).
fof(f1718,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f327,f95]) ).
fof(f1719,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f327,f93]) ).
fof(f1720,plain,
( ~ sQ60_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f327,f108]) ).
fof(f1721,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f327,f91]) ).
fof(f1722,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f327,f102]) ).
fof(f1723,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f327,f101]) ).
fof(f1724,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f327,f100]) ).
fof(f1725,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f327,f98]) ).
fof(f1726,plain,
( ~ sQ198_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1714,f96]) ).
fof(f1727,plain,
( ~ sQ198_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1726]) ).
fof(f1728,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f323,f95]) ).
fof(f1729,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f323,f93]) ).
fof(f1730,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_5,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f323,f91]) ).
fof(f1731,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f323,f102]) ).
fof(f1732,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f323,f101]) ).
fof(f1733,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f323,f100]) ).
fof(f1734,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f323,f98]) ).
fof(f1735,definition,
! [X0] :
( sQ220_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1736,plain,
! [X0] :
( ~ sQ220_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1735]) ).
fof(f1738,plain,
( ~ sQ59_spl
| sQ136_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f1731,f1735,f655,f322]) ).
fof(f1739,plain,
( ~ sQ59_spl
| sQ168_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f1732,f1735,f1006,f322]) ).
fof(f1740,plain,
( ~ sQ58_spl
| ~ sQ190_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f320,f1289]) ).
fof(f1741,plain,
( ~ sQ58_spl
| ~ sQ190_spl ),
inference(contradiction_clause,[status(thm)],[f1740]) ).
fof(f1742,plain,
( ~ sQ57_spl
| ~ sQ191_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f317,f1297]) ).
fof(f1743,plain,
( ~ sQ57_spl
| ~ sQ191_spl ),
inference(contradiction_clause,[status(thm)],[f1742]) ).
fof(f1744,plain,
( ~ sQ56_spl
| ~ sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f314,f1274]) ).
fof(f1745,plain,
( ~ sQ56_spl
| ~ sQ180_spl ),
inference(contradiction_clause,[status(thm)],[f1744]) ).
fof(f1746,plain,
( ~ sQ55_spl
| ~ sQ173_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f311,f1271]) ).
fof(f1747,plain,
( ~ sQ55_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1746]) ).
fof(f1748,plain,
( ~ sQ54_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f307,f112]) ).
fof(f1749,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f307,f95]) ).
fof(f1750,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f307,f93]) ).
fof(f1751,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f307,f91]) ).
fof(f1752,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f307,f102]) ).
fof(f1753,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f307,f101]) ).
fof(f1754,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f307,f100]) ).
fof(f1755,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f307,f98]) ).
fof(f1756,plain,
( ~ sQ54_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1748,f655,f306]) ).
fof(f1757,definition,
! [X0] :
( sQ221_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1758,plain,
! [X0] :
( ~ sQ221_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1757]) ).
fof(f1760,plain,
( ~ sQ54_spl
| sQ136_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1752,f1757,f655,f306]) ).
fof(f1761,plain,
( ~ sQ54_spl
| sQ139_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1753,f1757,f684,f306]) ).
fof(f1762,plain,
( ~ sQ214_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f1624,f96]) ).
fof(f1763,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1419,f96]) ).
fof(f1764,plain,
( ~ sQ73_spl
| sQ174_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1763,f1420,f1056,f367]) ).
fof(f1765,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1636,f343]) ).
fof(f1766,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1636,f96]) ).
fof(f1767,definition,
! [X0] :
( sQ222_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1768,plain,
! [X0] :
( ~ sQ222_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1767]) ).
fof(f1770,plain,
( ~ sQ65_spl
| sQ146_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f1765,f1767,f758,f342]) ).
fof(f1771,plain,
( ~ sQ65_spl
| sQ133_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f1766,f1644,f620,f342]) ).
fof(f1772,plain,
! [X0] :
( ~ sQ222_spl
| ~ product(X0,e_3,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f1768]) ).
fof(f1773,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1637,f343]) ).
fof(f1774,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1637,f96]) ).
fof(f1775,plain,
( ~ sQ65_spl
| sQ154_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f1773,f1767,f838,f342]) ).
fof(f1776,plain,
( ~ sQ65_spl
| sQ130_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f1774,f1644,f596,f342]) ).
fof(f1777,plain,
( ~ sQ216_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1645,f96]) ).
fof(f1778,plain,
( ~ sQ217_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f1659,f96]) ).
fof(f1779,plain,
( ~ sQ218_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1697,f96]) ).
fof(f1780,plain,
( ~ sQ219_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f1705,f96]) ).
fof(f1784,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ40_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1157,f343]) ).
fof(f1785,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1157,f96]) ).
fof(f1786,plain,
( ~ sQ65_spl
| ~ sQ40_spl
| sQ146_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f1784,f1574,f758,f257,f342]) ).
fof(f1787,plain,
( ~ sQ40_spl
| sQ133_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1785,f1160,f620,f257]) ).
fof(f1788,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ40_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1158,f343]) ).
fof(f1789,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1158,f96]) ).
fof(f1790,plain,
( ~ sQ65_spl
| ~ sQ40_spl
| sQ152_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f1788,f1574,f817,f257,f342]) ).
fof(f1791,plain,
( ~ sQ40_spl
| sQ127_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1789,f1160,f572,f257]) ).
fof(f1793,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f695,f96]) ).
fof(f1794,plain,
( ~ sQ18_spl
| sQ168_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1793,f696,f1006,f181]) ).
fof(f1795,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f694,f96]) ).
fof(f1796,plain,
( ~ sQ18_spl
| sQ166_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1795,f696,f979,f181]) ).
fof(f1797,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ35_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1233,f343]) ).
fof(f1798,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1233,f96]) ).
fof(f1799,definition,
! [X0] :
( sQ223_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1800,plain,
! [X0] :
( ~ sQ223_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1799]) ).
fof(f1802,plain,
( ~ sQ65_spl
| ~ sQ35_spl
| sQ152_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f1797,f1799,f817,f241,f342]) ).
fof(f1803,plain,
( ~ sQ35_spl
| sQ127_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1798,f1234,f572,f241]) ).
fof(f1804,plain,
( ~ sQ36_spl
| ~ sQ222_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f245,f1772]) ).
fof(f1805,plain,
( ~ sQ36_spl
| ~ sQ222_spl ),
inference(contradiction_clause,[status(thm)],[f1804]) ).
fof(f1812,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ10_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f877,f343]) ).
fof(f1813,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f877,f96]) ).
fof(f1814,plain,
( ~ sQ65_spl
| ~ sQ10_spl
| sQ136_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1812,f1607,f655,f156,f342]) ).
fof(f1815,plain,
( ~ sQ10_spl
| sQ169_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f1813,f879,f1010,f156]) ).
fof(f1816,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ10_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f876,f343]) ).
fof(f1818,plain,
( ~ sQ65_spl
| ~ sQ10_spl
| sQ144_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1816,f1607,f727,f156,f342]) ).
fof(f1820,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1220,f96]) ).
fof(f1821,plain,
( ~ sQ36_spl
| sQ141_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1820,f1222,f700,f244]) ).
fof(f1822,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1219,f96]) ).
fof(f1823,plain,
( ~ sQ36_spl
| sQ144_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1822,f1222,f727,f244]) ).
fof(f1835,plain,
( ~ sQ53_spl
| ~ sQ218_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f304,f1779]) ).
fof(f1836,plain,
( ~ sQ53_spl
| ~ sQ218_spl ),
inference(contradiction_clause,[status(thm)],[f1835]) ).
fof(f1837,plain,
( ~ sQ52_spl
| ~ sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f301,f842]) ).
fof(f1838,plain,
( ~ sQ52_spl
| ~ sQ153_spl ),
inference(contradiction_clause,[status(thm)],[f1837]) ).
fof(f1839,plain,
( ~ sQ51_spl
| ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f298,f733]) ).
fof(f1840,plain,
( ~ sQ51_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f1839]) ).
fof(f1841,plain,
( ~ sQ50_spl
| ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f295,f604]) ).
fof(f1842,plain,
( ~ sQ50_spl
| ~ sQ128_spl ),
inference(contradiction_clause,[status(thm)],[f1841]) ).
fof(f1843,plain,
! [X0] :
( ~ sQ99_spl
| ~ greater(e_5,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f456,f63]) ).
fof(f1844,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f456,f95]) ).
fof(f1845,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f456,f93]) ).
fof(f1846,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f456,f91]) ).
fof(f1847,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f456,f102]) ).
fof(f1848,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f456,f101]) ).
fof(f1849,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f456,f100]) ).
fof(f1850,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f456,f98]) ).
fof(f1851,definition,
! [X0] :
( sQ224_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1852,plain,
! [X0] :
( ~ sQ224_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1851]) ).
fof(f1854,plain,
( ~ sQ99_spl
| sQ137_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f1847,f1851,f662,f455]) ).
fof(f1855,plain,
( ~ sQ99_spl
| sQ169_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f1848,f1851,f1010,f455]) ).
fof(f1856,plain,
( ~ sQ65_spl
| ~ sQ224_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f1852,f343]) ).
fof(f1858,plain,
! [X0] :
( ~ sQ98_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f453,f63]) ).
fof(f1863,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f453,f95]) ).
fof(f1864,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f453,f93]) ).
fof(f1865,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f453,f91]) ).
fof(f1868,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f453,f100]) ).
fof(f1869,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f453,f98]) ).
fof(f1871,definition,
! [X0] :
( sQ225_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1872,plain,
! [X0] :
( ~ sQ225_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1871]) ).
fof(f1876,definition,
! [X0] :
( sQ226_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1877,plain,
! [X0] :
( ~ sQ226_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1876]) ).
fof(f1881,definition,
! [X0] :
( sQ227_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1882,plain,
! [X0] :
( ~ sQ227_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1881]) ).
fof(f1886,plain,
( ~ sQ65_spl
| ~ sQ227_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f1882,f343]) ).
fof(f1887,plain,
( ~ sQ65_spl
| ~ sQ226_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f1877,f343]) ).
fof(f1888,plain,
( ~ sQ65_spl
| ~ sQ225_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f1872,f343]) ).
fof(f1889,plain,
( ~ sQ22_spl
| ~ sQ97_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f450,f582]) ).
fof(f1890,plain,
! [X0] :
( ~ sQ97_spl
| ~ greater(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f450,f63]) ).
fof(f1891,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ97_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f450,f1125]) ).
fof(f1892,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ97_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f450,f1124]) ).
fof(f1893,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ97_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f450,f588]) ).
fof(f1894,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ97_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f450,f587]) ).
fof(f1895,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f450,f95]) ).
fof(f1896,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f450,f93]) ).
fof(f1897,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f450,f91]) ).
fof(f1898,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f450,f102]) ).
fof(f1899,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f450,f101]) ).
fof(f1900,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f450,f100]) ).
fof(f1901,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f450,f98]) ).
fof(f1902,plain,
( ~ sQ22_spl
| ~ sQ97_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1889,f662,f449,f194]) ).
fof(f1903,definition,
! [X0] :
( sQ228_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1904,plain,
! [X0] :
( ~ sQ228_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1903]) ).
fof(f1906,plain,
( ~ sQ42_spl
| ~ sQ97_spl
| sQ141_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f1891,f1903,f700,f449,f263]) ).
fof(f1907,plain,
( ~ sQ42_spl
| ~ sQ97_spl
| sQ133_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f1892,f1903,f620,f449,f263]) ).
fof(f1908,definition,
! [X0] :
( sQ229_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1909,plain,
! [X0] :
( ~ sQ229_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1908]) ).
fof(f1911,plain,
( ~ sQ22_spl
| ~ sQ97_spl
| sQ137_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f1893,f1908,f662,f449,f194]) ).
fof(f1912,plain,
( ~ sQ22_spl
| ~ sQ97_spl
| sQ172_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f1894,f1908,f1049,f449,f194]) ).
fof(f1913,definition,
! [X0] :
( sQ230_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1914,plain,
! [X0] :
( ~ sQ230_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1913]) ).
fof(f1916,plain,
( ~ sQ97_spl
| sQ144_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f1898,f1913,f727,f449]) ).
fof(f1917,plain,
( ~ sQ97_spl
| sQ130_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f1899,f1913,f596,f449]) ).
fof(f1918,plain,
( ~ sQ65_spl
| ~ sQ230_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f1914,f343]) ).
fof(f1919,plain,
( ~ sQ65_spl
| ~ sQ230_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1918,f96]) ).
fof(f1920,plain,
( ~ sQ65_spl
| ~ sQ230_spl ),
inference(contradiction_clause,[status(thm)],[f1919]) ).
fof(f1921,plain,
( ~ sQ65_spl
| ~ sQ229_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f1909,f343]) ).
fof(f1922,plain,
( ~ sQ65_spl
| ~ sQ228_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1904,f343]) ).
fof(f1923,plain,
( ~ sQ46_spl
| ~ sQ96_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f447,f1064]) ).
fof(f1924,plain,
! [X0] :
( ~ sQ96_spl
| ~ greater(e_2,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f447,f63]) ).
fof(f1925,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ96_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f447,f1219]) ).
fof(f1926,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ96_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f447,f1220]) ).
fof(f1927,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ96_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f447,f943]) ).
fof(f1928,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ96_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f447,f944]) ).
fof(f1929,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ96_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f447,f1070]) ).
fof(f1930,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ96_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f447,f1069]) ).
fof(f1931,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f447,f95]) ).
fof(f1932,plain,
( ~ sQ96_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f447,f110]) ).
fof(f1933,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f447,f93]) ).
fof(f1934,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f447,f91]) ).
fof(f1935,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f447,f102]) ).
fof(f1936,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f447,f101]) ).
fof(f1937,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f447,f100]) ).
fof(f1938,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f447,f98]) ).
fof(f1939,plain,
( ~ sQ46_spl
| ~ sQ96_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1923,f700,f446,f276]) ).
fof(f1940,definition,
! [X0] :
( sQ231_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1941,plain,
! [X0] :
( ~ sQ231_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1940]) ).
fof(f1943,plain,
( ~ sQ36_spl
| ~ sQ96_spl
| sQ130_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f1925,f1940,f596,f446,f244]) ).
fof(f1944,plain,
( ~ sQ36_spl
| ~ sQ96_spl
| sQ141_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f1926,f1940,f700,f446,f244]) ).
fof(f1945,definition,
! [X0] :
( sQ232_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1946,plain,
! [X0] :
( ~ sQ232_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1945]) ).
fof(f1948,plain,
( ~ sQ6_spl
| ~ sQ96_spl
| sQ127_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f1927,f1945,f572,f446,f143]) ).
fof(f1949,plain,
( ~ sQ6_spl
| ~ sQ96_spl
| sQ137_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f1928,f1945,f662,f446,f143]) ).
fof(f1950,definition,
! [X0] :
( sQ233_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1951,plain,
! [X0] :
( ~ sQ233_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1950]) ).
fof(f1953,plain,
( ~ sQ46_spl
| ~ sQ96_spl
| sQ141_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f1929,f1950,f700,f446,f276]) ).
fof(f1954,plain,
( ~ sQ46_spl
| ~ sQ96_spl
| sQ172_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f1930,f1950,f1049,f446,f276]) ).
fof(f1955,plain,
( ~ sQ96_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f1932,f620,f446]) ).
fof(f1956,definition,
! [X0] :
( sQ234_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1957,plain,
! [X0] :
( ~ sQ234_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1956]) ).
fof(f1959,plain,
( ~ sQ96_spl
| sQ146_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f1935,f1956,f758,f446]) ).
fof(f1960,plain,
( ~ sQ96_spl
| sQ133_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f1936,f1956,f620,f446]) ).
fof(f1961,plain,
( ~ sQ65_spl
| ~ sQ234_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f1957,f343]) ).
fof(f1962,plain,
( ~ sQ65_spl
| ~ sQ233_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f1951,f343]) ).
fof(f1963,plain,
( ~ sQ65_spl
| ~ sQ232_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1946,f343]) ).
fof(f1964,plain,
( ~ sQ65_spl
| ~ sQ231_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f1941,f343]) ).
fof(f1965,plain,
( ~ sQ216_spl
| ~ sQ95_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f444,f1645]) ).
fof(f1966,plain,
( ~ sQ188_spl
| ~ sQ95_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f444,f1235]) ).
fof(f1967,plain,
( ~ sQ204_spl
| ~ sQ95_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f444,f1517]) ).
fof(f1968,plain,
( ~ sQ147_spl
| ~ sQ95_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f444,f771]) ).
fof(f1969,plain,
( ~ sQ158_spl
| ~ sQ95_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f444,f880]) ).
fof(f1970,plain,
( ~ sQ162_spl
| ~ sQ95_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f444,f958]) ).
fof(f1971,plain,
( ~ sQ192_spl
| ~ sQ95_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f444,f1336]) ).
fof(f1972,plain,
( ~ sQ182_spl
| ~ sQ95_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f444,f1161]) ).
fof(f1973,plain,
( ~ sQ176_spl
| ~ sQ95_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f444,f1087]) ).
fof(f1974,plain,
! [X0] :
( ~ sQ95_spl
| ~ greater(e_1,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f444,f63]) ).
fof(f1975,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ95_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f444,f1636]) ).
fof(f1976,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ95_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f444,f1637]) ).
fof(f1977,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ95_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f444,f876]) ).
fof(f1978,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ95_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f444,f877]) ).
fof(f1979,plain,
( ~ sQ95_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f444,f112]) ).
fof(f1980,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f444,f95]) ).
fof(f1981,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f444,f93]) ).
fof(f1982,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f444,f91]) ).
fof(f1983,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f444,f102]) ).
fof(f1984,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f444,f101]) ).
fof(f1985,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f444,f100]) ).
fof(f1986,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f444,f98]) ).
fof(f1987,definition,
! [X0] :
( sQ235_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1988,plain,
! [X0] :
( ~ sQ235_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1987]) ).
fof(f1990,plain,
( ~ sQ65_spl
| ~ sQ95_spl
| sQ133_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f1975,f1987,f620,f443,f342]) ).
fof(f1991,plain,
( ~ sQ65_spl
| ~ sQ95_spl
| sQ144_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f1976,f1987,f727,f443,f342]) ).
fof(f1992,definition,
! [X0] :
( sQ236_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1993,plain,
! [X0] :
( ~ sQ236_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f1992]) ).
fof(f1995,plain,
( ~ sQ10_spl
| ~ sQ95_spl
| sQ130_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f1977,f1992,f596,f443,f156]) ).
fof(f1996,plain,
( ~ sQ10_spl
| ~ sQ95_spl
| sQ137_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f1978,f1992,f662,f443,f156]) ).
fof(f1997,plain,
( ~ sQ95_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1979,f648,f443]) ).
fof(f1998,definition,
! [X0] :
( sQ237_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1999,plain,
! [X0] :
( ~ sQ237_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1998]) ).
fof(f2001,plain,
( ~ sQ95_spl
| sQ135_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f1983,f1998,f648,f443]) ).
fof(f2002,plain,
( ~ sQ95_spl
| sQ172_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f1984,f1998,f1049,f443]) ).
fof(f2003,plain,
( ~ sQ237_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f1999,f96]) ).
fof(f2004,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1469,f96]) ).
fof(f2005,plain,
( ~ sQ71_spl
| sQ135_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f2004,f1487,f648,f361]) ).
fof(f2006,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1470,f96]) ).
fof(f2007,plain,
( ~ sQ71_spl
| sQ144_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f2006,f1487,f727,f361]) ).
fof(f2016,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1543,f96]) ).
fof(f2017,plain,
( ~ sQ68_spl
| sQ166_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f2016,f1550,f979,f351]) ).
fof(f2018,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1544,f96]) ).
fof(f2019,plain,
( ~ sQ68_spl
| sQ174_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f2018,f1550,f1056,f351]) ).
fof(f2020,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)],[f1001,f96]) ).
fof(f2021,plain,
( ~ sQ49_spl
| sQ148_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f2020,f1003,f773,f285]) ).
fof(f2022,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)],[f1002,f96]) ).
fof(f2023,plain,
( ~ sQ49_spl
| sQ126_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f2022,f1003,f568,f285]) ).
fof(f2024,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ94_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f440,f1002]) ).
fof(f2025,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ94_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f440,f1001]) ).
fof(f2026,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f440,f95]) ).
fof(f2027,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f440,f93]) ).
fof(f2028,plain,
( ~ sQ94_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f440,f108]) ).
fof(f2029,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_5,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f440,f91]) ).
fof(f2030,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f440,f102]) ).
fof(f2032,plain,
! [X0,X1,X2] :
( ~ sQ94_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f440,f100]) ).
fof(f2033,plain,
! [X0,X1,X2] :
( ~ sQ94_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f440,f98]) ).
fof(f2034,plain,
( ~ sQ49_spl
| ~ sQ94_spl
| sQ141_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f2024,f1071,f700,f439,f285]) ).
fof(f2035,plain,
( ~ sQ49_spl
| ~ sQ94_spl
| sQ135_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f2025,f1071,f648,f439,f285]) ).
fof(f2036,plain,
( ~ sQ94_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f2028,f616,f439]) ).
fof(f2037,definition,
! [X0] :
( sQ238_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2038,plain,
! [X0] :
( ~ sQ238_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2037]) ).
fof(f2040,plain,
( ~ sQ94_spl
| sQ137_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f2030,f2037,f662,f439]) ).
fof(f2043,plain,
( ~ sQ68_spl
| ~ sQ93_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f437,f1538]) ).
fof(f2044,plain,
( ~ sQ18_spl
| ~ sQ93_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f437,f689]) ).
fof(f2045,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ93_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f437,f1544]) ).
fof(f2046,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ93_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f437,f1543]) ).
fof(f2049,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ93_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f437,f694]) ).
fof(f2050,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ93_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f437,f695]) ).
fof(f2051,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f437,f95]) ).
fof(f2052,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f437,f93]) ).
fof(f2053,plain,
( ~ sQ93_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f437,f108]) ).
fof(f2054,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f437,f91]) ).
fof(f2055,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f437,f102]) ).
fof(f2057,plain,
! [X0,X1,X2] :
( ~ sQ93_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f437,f100]) ).
fof(f2058,plain,
! [X0,X1,X2] :
( ~ sQ93_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f437,f98]) ).
fof(f2060,plain,
( ~ sQ68_spl
| ~ sQ93_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f2043,f727,f436,f351]) ).
fof(f2061,plain,
( ~ sQ18_spl
| ~ sQ93_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f2044,f662,f436,f181]) ).
fof(f2062,plain,
( ~ sQ68_spl
| ~ sQ93_spl
| sQ144_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f2045,f1623,f727,f436,f351]) ).
fof(f2063,plain,
( ~ sQ68_spl
| ~ sQ93_spl
| sQ146_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f2046,f1623,f758,f436,f351]) ).
fof(f2066,plain,
( ~ sQ18_spl
| ~ sQ93_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f2049,f754,f758,f436,f181]) ).
fof(f2067,plain,
( ~ sQ18_spl
| ~ sQ93_spl
| sQ137_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f2050,f754,f662,f436,f181]) ).
fof(f2068,plain,
( ~ sQ93_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f2053,f979,f436]) ).
fof(f2069,plain,
( ~ sQ93_spl
| sQ141_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f2055,f1341,f700,f436]) ).
fof(f2071,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ92_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f434,f588]) ).
fof(f2072,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ92_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f434,f587]) ).
fof(f2073,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f434,f95]) ).
fof(f2074,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f434,f93]) ).
fof(f2075,plain,
( ~ sQ92_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f434,f108]) ).
fof(f2076,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f434,f91]) ).
fof(f2077,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f434,f102]) ).
fof(f2079,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f434,f100]) ).
fof(f2080,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f434,f98]) ).
fof(f2081,plain,
( ~ sQ22_spl
| ~ sQ92_spl
| sQ137_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f2071,f613,f662,f433,f194]) ).
fof(f2082,plain,
( ~ sQ22_spl
| ~ sQ92_spl
| sQ135_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f2072,f613,f648,f433,f194]) ).
fof(f2083,plain,
( ~ sQ92_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f2075,f863,f433]) ).
fof(f2084,plain,
( ~ sQ92_spl
| sQ144_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f2077,f1704,f727,f433]) ).
fof(f2086,plain,
( ~ sQ40_spl
| ~ sQ90_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f428,f1152]) ).
fof(f2087,plain,
( ~ sQ230_spl
| ~ sQ90_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f428,f1914]) ).
fof(f2088,plain,
( ~ sQ235_spl
| ~ sQ90_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f428,f1988]) ).
fof(f2089,plain,
( ~ sQ236_spl
| ~ sQ90_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f428,f1993]) ).
fof(f2090,plain,
( ~ sQ231_spl
| ~ sQ90_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f428,f1941]) ).
fof(f2091,plain,
( ~ sQ232_spl
| ~ sQ90_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f428,f1946]) ).
fof(f2092,plain,
( ~ sQ233_spl
| ~ sQ90_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f428,f1951]) ).
fof(f2093,plain,
( ~ sQ234_spl
| ~ sQ90_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f428,f1957]) ).
fof(f2094,plain,
( ~ sQ228_spl
| ~ sQ90_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f428,f1904]) ).
fof(f2095,plain,
( ~ sQ229_spl
| ~ sQ90_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f428,f1909]) ).
fof(f2096,plain,
( ~ sQ225_spl
| ~ sQ90_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f428,f1872]) ).
fof(f2097,plain,
( ~ sQ226_spl
| ~ sQ90_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f428,f1877]) ).
fof(f2098,plain,
( ~ sQ227_spl
| ~ sQ90_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f428,f1882]) ).
fof(f2099,plain,
( ~ sQ224_spl
| ~ sQ90_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f428,f1852]) ).
fof(f2100,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ90_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f428,f1158]) ).
fof(f2101,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ90_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f428,f1157]) ).
fof(f2102,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ90_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f428,f876]) ).
fof(f2103,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ90_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f428,f877]) ).
fof(f2104,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f428,f95]) ).
fof(f2105,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f428,f93]) ).
fof(f2106,plain,
( ~ sQ90_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f428,f108]) ).
fof(f2107,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f428,f91]) ).
fof(f2108,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f428,f102]) ).
fof(f2110,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f428,f100]) ).
fof(f2111,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f428,f98]) ).
fof(f2112,plain,
( ~ sQ40_spl
| ~ sQ90_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f2086,f700,f427,f257]) ).
fof(f2113,plain,
( ~ sQ234_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2093,f96]) ).
fof(f2114,plain,
( ~ sQ234_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f2113]) ).
fof(f2115,plain,
( ~ sQ90_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f2106,f620,f427]) ).
fof(f2116,definition,
! [X0] :
( sQ239_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2117,plain,
! [X0] :
( ~ sQ239_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2116]) ).
fof(f2119,plain,
( ~ sQ90_spl
| sQ135_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f2108,f2116,f648,f427]) ).
fof(f2121,plain,
( ~ sQ221_spl
| ~ sQ89_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f424,f1758]) ).
fof(f2122,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ89_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f424,f1002]) ).
fof(f2123,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ89_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f424,f1001]) ).
fof(f2124,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f424,f95]) ).
fof(f2125,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f424,f93]) ).
fof(f2126,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_5,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f424,f91]) ).
fof(f2127,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f424,f102]) ).
fof(f2128,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f424,f101]) ).
fof(f2129,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f424,f100]) ).
fof(f2130,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f424,f98]) ).
fof(f2131,definition,
! [X0] :
( sQ240_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2132,plain,
! [X0] :
( ~ sQ240_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2131]) ).
fof(f2134,plain,
( ~ sQ49_spl
| ~ sQ89_spl
| sQ141_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f2122,f2131,f700,f423,f285]) ).
fof(f2135,plain,
( ~ sQ49_spl
| ~ sQ89_spl
| sQ134_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f2123,f2131,f641,f423,f285]) ).
fof(f2136,definition,
! [X0] :
( sQ241_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2137,plain,
! [X0] :
( ~ sQ241_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2136]) ).
fof(f2139,plain,
( ~ sQ89_spl
| sQ137_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f2127,f2136,f662,f423]) ).
fof(f2140,plain,
( ~ sQ89_spl
| sQ136_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f2128,f2136,f655,f423]) ).
fof(f2142,plain,
( ~ sQ220_spl
| ~ sQ88_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f421,f1736]) ).
fof(f2143,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ88_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f421,f1544]) ).
fof(f2144,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ88_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f421,f1543]) ).
fof(f2147,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f421,f95]) ).
fof(f2148,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f421,f93]) ).
fof(f2149,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f421,f91]) ).
fof(f2150,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f421,f102]) ).
fof(f2151,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f421,f101]) ).
fof(f2152,plain,
! [X0,X1,X2] :
( ~ sQ88_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f421,f100]) ).
fof(f2153,plain,
! [X0,X1,X2] :
( ~ sQ88_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f421,f98]) ).
fof(f2155,definition,
! [X0] :
( sQ242_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2156,plain,
! [X0] :
( ~ sQ242_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f2155]) ).
fof(f2158,plain,
( ~ sQ68_spl
| ~ sQ88_spl
| sQ144_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f2143,f2155,f727,f420,f351]) ).
fof(f2159,plain,
( ~ sQ68_spl
| ~ sQ88_spl
| sQ157_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f2144,f2155,f863,f420,f351]) ).
fof(f2160,definition,
! [X0] :
( sQ243_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2161,plain,
! [X0] :
( ~ sQ243_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f2160]) ).
fof(f2165,definition,
! [X0] :
( sQ244_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2166,plain,
! [X0] :
( ~ sQ244_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2165]) ).
fof(f2168,plain,
( ~ sQ88_spl
| sQ141_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f2150,f2165,f700,f420]) ).
fof(f2169,plain,
( ~ sQ88_spl
| sQ152_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f2151,f2165,f817,f420]) ).
fof(f2170,plain,
( ~ sQ87_spl
| ~ sQ219_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f418,f1780]) ).
fof(f2171,plain,
( ~ sQ87_spl
| ~ sQ219_spl ),
inference(contradiction_clause,[status(thm)],[f2170]) ).
fof(f2172,plain,
( ~ sQ86_spl
| ~ sQ214_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f415,f1762]) ).
fof(f2173,plain,
( ~ sQ86_spl
| ~ sQ214_spl ),
inference(contradiction_clause,[status(thm)],[f2172]) ).
fof(f2174,plain,
( ~ sQ85_spl
| ~ sQ202_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f412,f1492]) ).
fof(f2175,plain,
( ~ sQ85_spl
| ~ sQ202_spl ),
inference(contradiction_clause,[status(thm)],[f2174]) ).
fof(f2176,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ84_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f408,f1002]) ).
fof(f2177,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ84_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f408,f1001]) ).
fof(f2178,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f408,f95]) ).
fof(f2179,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f408,f93]) ).
fof(f2180,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_5,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f408,f91]) ).
fof(f2181,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f408,f102]) ).
fof(f2182,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f408,f101]) ).
fof(f2183,plain,
! [X0,X1,X2] :
( ~ sQ84_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f408,f100]) ).
fof(f2184,plain,
! [X0,X1,X2] :
( ~ sQ84_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f408,f98]) ).
fof(f2185,definition,
! [X0] :
( sQ245_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2186,plain,
! [X0] :
( ~ sQ245_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2185]) ).
fof(f2188,plain,
( ~ sQ49_spl
| ~ sQ84_spl
| sQ141_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f2176,f2185,f700,f407,f285]) ).
fof(f2189,plain,
( ~ sQ49_spl
| ~ sQ84_spl
| sQ163_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f2177,f2185,f961,f407,f285]) ).
fof(f2190,definition,
! [X0] :
( sQ246_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2191,plain,
! [X0] :
( ~ sQ246_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2190]) ).
fof(f2193,plain,
( ~ sQ84_spl
| sQ137_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2181,f2190,f662,f407]) ).
fof(f2194,plain,
( ~ sQ84_spl
| sQ168_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2182,f2190,f1006,f407]) ).
fof(f2195,plain,
( ~ sQ83_spl
| ~ sQ193_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f405,f1347]) ).
fof(f2196,plain,
( ~ sQ83_spl
| ~ sQ193_spl ),
inference(contradiction_clause,[status(thm)],[f2195]) ).
fof(f2197,plain,
( ~ sQ82_spl
| ~ sQ187_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f402,f1286]) ).
fof(f2198,plain,
( ~ sQ82_spl
| ~ sQ187_spl ),
inference(contradiction_clause,[status(thm)],[f2197]) ).
fof(f2199,plain,
( ~ sQ81_spl
| ~ sQ181_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f399,f1275]) ).
fof(f2200,plain,
( ~ sQ81_spl
| ~ sQ181_spl ),
inference(contradiction_clause,[status(thm)],[f2199]) ).
fof(f2201,plain,
( ~ sQ80_spl
| ~ sQ175_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f396,f1272]) ).
fof(f2202,plain,
( ~ sQ80_spl
| ~ sQ175_spl ),
inference(contradiction_clause,[status(thm)],[f2201]) ).
fof(f2203,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ79_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f392,f1002]) ).
fof(f2204,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ79_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f392,f1001]) ).
fof(f2205,plain,
( ~ sQ79_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f392,f112]) ).
fof(f2206,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f392,f95]) ).
fof(f2207,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f392,f93]) ).
fof(f2208,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f392,f91]) ).
fof(f2209,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f392,f102]) ).
fof(f2210,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f392,f101]) ).
fof(f2211,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f392,f100]) ).
fof(f2212,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f392,f98]) ).
fof(f2213,definition,
! [X0] :
( sQ247_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2214,plain,
! [X0] :
( ~ sQ247_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2213]) ).
fof(f2216,plain,
( ~ sQ49_spl
| ~ sQ79_spl
| sQ141_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2203,f2213,f700,f391,f285]) ).
fof(f2217,plain,
( ~ sQ49_spl
| ~ sQ79_spl
| sQ148_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2204,f2213,f773,f391,f285]) ).
fof(f2218,plain,
( ~ sQ79_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f2205,f662,f391]) ).
fof(f2219,definition,
! [X0] :
( sQ248_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2220,plain,
! [X0] :
( ~ sQ248_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2219]) ).
fof(f2222,plain,
( ~ sQ79_spl
| sQ137_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2209,f2219,f662,f391]) ).
fof(f2223,plain,
( ~ sQ79_spl
| sQ139_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2210,f2219,f684,f391]) ).
fof(f2224,plain,
( ~ sQ238_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f2038,f96]) ).
fof(f2225,plain,
( ~ sQ239_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f2117,f96]) ).
fof(f2248,plain,
( ~ sQ78_spl
| ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f994]) ).
fof(f2249,plain,
( ~ sQ78_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f2248]) ).
fof(f2250,plain,
( ~ sQ77_spl
| ~ sQ156_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f869]) ).
fof(f2251,plain,
( ~ sQ77_spl
| ~ sQ156_spl ),
inference(contradiction_clause,[status(thm)],[f2250]) ).
fof(f2252,plain,
( ~ sQ76_spl
| ~ sQ145_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f383,f762]) ).
fof(f2253,plain,
( ~ sQ76_spl
| ~ sQ145_spl ),
inference(contradiction_clause,[status(thm)],[f2252]) ).
fof(f2254,plain,
( ~ sQ75_spl
| ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f380,f628]) ).
fof(f2255,plain,
( ~ sQ75_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f2254]) ).
fof(f2256,plain,
( ~ sQ49_spl
| ~ sQ124_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f541,f996]) ).
fof(f2257,plain,
! [X0] :
( ~ sQ124_spl
| ~ greater(e_5,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f541,f63]) ).
fof(f2258,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ124_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f541,f1002]) ).
fof(f2259,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ124_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f541,f1001]) ).
fof(f2260,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f541,f95]) ).
fof(f2261,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f541,f93]) ).
fof(f2262,plain,
( ~ sQ124_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f541,f108]) ).
fof(f2263,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_5,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f541,f91]) ).
fof(f2264,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f541,f102]) ).
fof(f2266,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f541,f100]) ).
fof(f2267,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f541,f98]) ).
fof(f2268,plain,
( ~ sQ49_spl
| ~ sQ124_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f2256,f572,f540,f285]) ).
fof(f2269,plain,
( ~ sQ49_spl
| ~ sQ124_spl
| sQ127_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f2258,f1086,f572,f540,f285]) ).
fof(f2270,plain,
( ~ sQ49_spl
| ~ sQ124_spl
| sQ172_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f2259,f1086,f1049,f540,f285]) ).
fof(f2271,plain,
( ~ sQ124_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f2262,f773,f540]) ).
fof(f2272,definition,
! [X0] :
( sQ249_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2273,plain,
! [X0] :
( ~ sQ249_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2272]) ).
fof(f2275,plain,
( ~ sQ124_spl
| sQ169_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2264,f2272,f1010,f540]) ).
fof(f2277,plain,
( ~ sQ249_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f2273,f96]) ).
fof(f2279,plain,
! [X0] :
( ~ sQ123_spl
| ~ greater(e_4,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f538,f63]) ).
fof(f2280,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ123_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f538,f694]) ).
fof(f2281,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ123_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f538,f695]) ).
fof(f2282,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ123_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f538,f1544]) ).
fof(f2283,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ123_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f538,f1543]) ).
fof(f2286,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f538,f95]) ).
fof(f2287,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f538,f93]) ).
fof(f2288,plain,
( ~ sQ123_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f538,f108]) ).
fof(f2289,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f538,f91]) ).
fof(f2290,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f538,f102]) ).
fof(f2292,plain,
! [X0,X1,X2] :
( ~ sQ123_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f538,f100]) ).
fof(f2293,plain,
! [X0,X1,X2] :
( ~ sQ123_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f538,f98]) ).
fof(f2295,plain,
( ~ sQ18_spl
| ~ sQ123_spl
| sQ133_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f2280,f770,f620,f537,f181]) ).
fof(f2296,plain,
( ~ sQ18_spl
| ~ sQ123_spl
| sQ169_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f2281,f770,f1010,f537,f181]) ).
fof(f2297,plain,
( ~ sQ68_spl
| ~ sQ123_spl
| sQ130_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f2282,f1644,f596,f537,f351]) ).
fof(f2298,plain,
( ~ sQ68_spl
| ~ sQ123_spl
| sQ133_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f2283,f1644,f620,f537,f351]) ).
fof(f2301,plain,
( ~ sQ123_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f2288,f961,f537]) ).
fof(f2302,plain,
( ~ sQ123_spl
| sQ127_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f2290,f1335,f572,f537]) ).
fof(f2304,plain,
( ~ sQ22_spl
| ~ sQ122_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f535,f582]) ).
fof(f2305,plain,
! [X0] :
( ~ sQ122_spl
| ~ greater(e_3,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f535,f63]) ).
fof(f2306,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ122_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f535,f588]) ).
fof(f2307,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ122_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f535,f587]) ).
fof(f2308,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f535,f95]) ).
fof(f2309,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f535,f93]) ).
fof(f2310,plain,
( ~ sQ122_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f535,f108]) ).
fof(f2311,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f535,f91]) ).
fof(f2312,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f535,f102]) ).
fof(f2314,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f535,f100]) ).
fof(f2315,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f535,f98]) ).
fof(f2316,plain,
( ~ sQ22_spl
| ~ sQ122_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f2304,f1010,f534,f194]) ).
fof(f2317,definition,
! [X0] :
( sQ250_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2318,plain,
! [X0] :
( ~ sQ250_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f2317]) ).
fof(f2320,plain,
( ~ sQ22_spl
| ~ sQ122_spl
| sQ169_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2306,f2317,f1010,f534,f194]) ).
fof(f2321,plain,
( ~ sQ22_spl
| ~ sQ122_spl
| sQ172_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2307,f2317,f1049,f534,f194]) ).
fof(f2322,plain,
( ~ sQ122_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f2310,f641,f534]) ).
fof(f2323,definition,
! [X0] :
( sQ251_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2324,plain,
! [X0] :
( ~ sQ251_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2323]) ).
fof(f2326,plain,
( ~ sQ122_spl
| sQ130_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2312,f2323,f596,f534]) ).
fof(f2328,plain,
( ~ sQ251_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f2324,f96]) ).
fof(f2329,plain,
( ~ sQ250_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f2318,f96]) ).
fof(f2330,plain,
( ~ sQ71_spl
| ~ sQ121_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f532,f1464]) ).
fof(f2331,plain,
! [X0] :
( ~ sQ121_spl
| ~ greater(e_2,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f532,f63]) ).
fof(f2332,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ121_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f532,f943]) ).
fof(f2333,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ121_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f532,f944]) ).
fof(f2334,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ121_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f532,f1470]) ).
fof(f2335,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ121_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f532,f1469]) ).
fof(f2336,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ121_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f532,f1219]) ).
fof(f2337,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ121_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f532,f1220]) ).
fof(f2338,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f532,f95]) ).
fof(f2339,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f532,f93]) ).
fof(f2340,plain,
( ~ sQ121_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f532,f108]) ).
fof(f2341,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f532,f91]) ).
fof(f2342,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f532,f102]) ).
fof(f2344,plain,
! [X0,X1,X2] :
( ~ sQ121_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f532,f100]) ).
fof(f2345,plain,
! [X0,X1,X2] :
( ~ sQ121_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f532,f98]) ).
fof(f2346,plain,
( ~ sQ71_spl
| ~ sQ121_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f2330,f596,f531,f361]) ).
fof(f2347,plain,
( ~ sQ6_spl
| ~ sQ121_spl
| sQ127_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f2332,f957,f572,f531,f143]) ).
fof(f2348,plain,
( ~ sQ6_spl
| ~ sQ121_spl
| sQ169_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f2333,f957,f1010,f531,f143]) ).
fof(f2349,plain,
( ~ sQ71_spl
| ~ sQ121_spl
| sQ130_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f2334,f1516,f596,f531,f361]) ).
fof(f2350,plain,
( ~ sQ71_spl
| ~ sQ121_spl
| sQ172_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f2335,f1516,f1049,f531,f361]) ).
fof(f2351,plain,
( ~ sQ36_spl
| ~ sQ121_spl
| sQ130_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f2336,f1234,f596,f531,f244]) ).
fof(f2352,plain,
( ~ sQ36_spl
| ~ sQ121_spl
| sQ127_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f2337,f1234,f572,f531,f244]) ).
fof(f2353,plain,
( ~ sQ121_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f2340,f648,f531]) ).
fof(f2354,plain,
( ~ sQ121_spl
| sQ133_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f2342,f2116,f620,f531]) ).
fof(f2360,plain,
( ~ sQ247_spl
| ~ sQ119_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f525,f2214]) ).
fof(f2361,plain,
( ~ sQ248_spl
| ~ sQ119_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f525,f2220]) ).
fof(f2362,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ119_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f525,f1002]) ).
fof(f2363,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ119_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f525,f1001]) ).
fof(f2364,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f525,f95]) ).
fof(f2365,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f525,f93]) ).
fof(f2366,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_5,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f525,f91]) ).
fof(f2367,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f525,f102]) ).
fof(f2368,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f525,f101]) ).
fof(f2369,plain,
! [X0,X1,X2] :
( ~ sQ119_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f525,f100]) ).
fof(f2370,plain,
! [X0,X1,X2] :
( ~ sQ119_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f525,f98]) ).
fof(f2371,definition,
! [X0] :
( sQ252_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2372,plain,
! [X0] :
( ~ sQ252_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2371]) ).
fof(f2374,plain,
( ~ sQ49_spl
| ~ sQ119_spl
| sQ127_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f2362,f2371,f572,f524,f285]) ).
fof(f2375,plain,
( ~ sQ49_spl
| ~ sQ119_spl
| sQ135_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f2363,f2371,f648,f524,f285]) ).
fof(f2376,definition,
! [X0] :
( sQ253_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2377,plain,
! [X0] :
( ~ sQ253_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2376]) ).
fof(f2379,plain,
( ~ sQ119_spl
| sQ169_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f2367,f2376,f1010,f524]) ).
fof(f2380,plain,
( ~ sQ119_spl
| sQ137_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f2368,f2376,f662,f524]) ).
fof(f2381,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f522,f689]) ).
fof(f2382,plain,
( ~ sQ245_spl
| ~ sQ118_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f522,f2186]) ).
fof(f2383,plain,
( ~ sQ246_spl
| ~ sQ118_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f522,f2191]) ).
fof(f2384,plain,
( ~ sQ68_spl
| ~ sQ118_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f522,f1538]) ).
fof(f2385,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ118_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f522,f694]) ).
fof(f2386,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ118_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f522,f695]) ).
fof(f2389,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f522,f95]) ).
fof(f2390,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f522,f93]) ).
fof(f2391,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f522,f91]) ).
fof(f2392,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f522,f102]) ).
fof(f2393,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f522,f101]) ).
fof(f2394,plain,
! [X0,X1,X2] :
( ~ sQ118_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f522,f100]) ).
fof(f2395,plain,
! [X0,X1,X2] :
( ~ sQ118_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f522,f98]) ).
fof(f2396,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f2381,f1010,f521,f181]) ).
fof(f2397,plain,
( ~ sQ68_spl
| ~ sQ118_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f2384,f596,f521,f351]) ).
fof(f2398,definition,
! [X0] :
( sQ254_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2399,plain,
! [X0] :
( ~ sQ254_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f2398]) ).
fof(f2401,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| sQ146_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f2385,f2398,f758,f521,f181]) ).
fof(f2402,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| sQ169_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f2386,f2398,f1010,f521,f181]) ).
fof(f2403,definition,
! [X0] :
( sQ255_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f2404,plain,
! [X0] :
( ~ sQ255_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f2403]) ).
fof(f2408,definition,
! [X0] :
( sQ256_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2409,plain,
! [X0] :
( ~ sQ256_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2408]) ).
fof(f2411,plain,
( ~ sQ118_spl
| sQ127_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f2392,f2408,f572,f521]) ).
fof(f2412,plain,
( ~ sQ118_spl
| sQ141_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f2393,f2408,f700,f521]) ).
fof(f2413,plain,
( ~ sQ244_spl
| ~ sQ117_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f519,f2166]) ).
fof(f2414,plain,
( ~ sQ240_spl
| ~ sQ117_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f519,f2132]) ).
fof(f2415,plain,
( ~ sQ241_spl
| ~ sQ117_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f519,f2137]) ).
fof(f2416,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ117_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f519,f588]) ).
fof(f2417,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ117_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f519,f587]) ).
fof(f2418,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f519,f95]) ).
fof(f2419,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f519,f93]) ).
fof(f2420,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_3,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f519,f91]) ).
fof(f2421,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f519,f102]) ).
fof(f2422,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f519,f101]) ).
fof(f2423,plain,
! [X0,X1,X2] :
( ~ sQ117_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f519,f100]) ).
fof(f2424,plain,
! [X0,X1,X2] :
( ~ sQ117_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f519,f98]) ).
fof(f2425,definition,
! [X0] :
( sQ257_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2426,plain,
! [X0] :
( ~ sQ257_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f2425]) ).
fof(f2428,plain,
( ~ sQ22_spl
| ~ sQ117_spl
| sQ169_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f2416,f2425,f1010,f518,f194]) ).
fof(f2429,plain,
( ~ sQ22_spl
| ~ sQ117_spl
| sQ135_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f2417,f2425,f648,f518,f194]) ).
fof(f2430,definition,
! [X0] :
( sQ258_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2431,plain,
! [X0] :
( ~ sQ258_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2430]) ).
fof(f2433,plain,
( ~ sQ117_spl
| sQ130_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f2421,f2430,f596,f518]) ).
fof(f2434,plain,
( ~ sQ117_spl
| sQ144_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f2422,f2430,f727,f518]) ).
fof(f2435,plain,
( ~ sQ116_spl
| ~ sQ239_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f516,f2225]) ).
fof(f2436,plain,
( ~ sQ116_spl
| ~ sQ239_spl ),
inference(contradiction_clause,[status(thm)],[f2435]) ).
fof(f2437,plain,
( ~ sQ115_spl
| ~ sQ237_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f513,f2003]) ).
fof(f2438,plain,
( ~ sQ115_spl
| ~ sQ237_spl ),
inference(contradiction_clause,[status(thm)],[f2437]) ).
fof(f2439,plain,
( ~ sQ221_spl
| ~ sQ114_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f509,f1758]) ).
fof(f2440,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ114_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f509,f1002]) ).
fof(f2441,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ114_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f509,f1001]) ).
fof(f2442,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f509,f95]) ).
fof(f2443,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f509,f93]) ).
fof(f2444,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_5,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f509,f91]) ).
fof(f2445,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f509,f102]) ).
fof(f2446,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f509,f101]) ).
fof(f2447,plain,
! [X0,X1,X2] :
( ~ sQ114_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f509,f100]) ).
fof(f2448,plain,
! [X0,X1,X2] :
( ~ sQ114_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f509,f98]) ).
fof(f2449,definition,
! [X0] :
( sQ259_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2450,plain,
! [X0] :
( ~ sQ259_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2449]) ).
fof(f2452,plain,
( ~ sQ49_spl
| ~ sQ114_spl
| sQ127_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f2440,f2449,f572,f508,f285]) ).
fof(f2453,plain,
( ~ sQ49_spl
| ~ sQ114_spl
| sQ134_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f2441,f2449,f641,f508,f285]) ).
fof(f2454,definition,
! [X0] :
( sQ260_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2455,plain,
! [X0] :
( ~ sQ260_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2454]) ).
fof(f2457,plain,
( ~ sQ114_spl
| sQ169_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f2445,f2454,f1010,f508]) ).
fof(f2458,plain,
( ~ sQ114_spl
| sQ136_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f2446,f2454,f655,f508]) ).
fof(f2459,plain,
( ~ sQ220_spl
| ~ sQ113_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f506,f1736]) ).
fof(f2460,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ113_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f506,f694]) ).
fof(f2461,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ113_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f506,f695]) ).
fof(f2464,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f506,f95]) ).
fof(f2465,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f506,f93]) ).
fof(f2466,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f506,f91]) ).
fof(f2467,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f506,f102]) ).
fof(f2468,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f506,f101]) ).
fof(f2469,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f506,f100]) ).
fof(f2470,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f506,f98]) ).
fof(f2471,definition,
! [X0] :
( sQ261_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2472,plain,
! [X0] :
( ~ sQ261_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f2471]) ).
fof(f2474,plain,
( ~ sQ18_spl
| ~ sQ113_spl
| sQ157_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2460,f2471,f863,f505,f181]) ).
fof(f2475,plain,
( ~ sQ18_spl
| ~ sQ113_spl
| sQ169_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2461,f2471,f1010,f505,f181]) ).
fof(f2476,definition,
! [X0] :
( sQ262_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f2477,plain,
! [X0] :
( ~ sQ262_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f2476]) ).
fof(f2481,definition,
! [X0] :
( sQ263_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2482,plain,
! [X0] :
( ~ sQ263_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2481]) ).
fof(f2484,plain,
( ~ sQ113_spl
| sQ127_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f2467,f2481,f572,f505]) ).
fof(f2485,plain,
( ~ sQ113_spl
| sQ152_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f2468,f2481,f817,f505]) ).
fof(f2486,plain,
( ~ sQ112_spl
| ~ sQ251_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f503,f2328]) ).
fof(f2487,plain,
( ~ sQ112_spl
| ~ sQ251_spl ),
inference(contradiction_clause,[status(thm)],[f2486]) ).
fof(f2488,plain,
( ~ sQ111_spl
| ~ sQ222_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f500,f1772]) ).
fof(f2489,plain,
( ~ sQ111_spl
| ~ sQ222_spl ),
inference(contradiction_clause,[status(thm)],[f2488]) ).
fof(f2495,plain,
( ~ sQ110_spl
| ~ sQ204_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f497,f1521]) ).
fof(f2496,plain,
( ~ sQ110_spl
| ~ sQ204_spl ),
inference(contradiction_clause,[status(thm)],[f2495]) ).
fof(f2497,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ109_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f493,f1002]) ).
fof(f2498,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ109_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f493,f1001]) ).
fof(f2499,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f493,f95]) ).
fof(f2500,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f493,f93]) ).
fof(f2501,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f493,f91]) ).
fof(f2502,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f493,f102]) ).
fof(f2503,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f493,f101]) ).
fof(f2504,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f493,f100]) ).
fof(f2505,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f493,f98]) ).
fof(f2506,definition,
! [X0] :
( sQ264_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2507,plain,
! [X0] :
( ~ sQ264_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2506]) ).
fof(f2509,plain,
( ~ sQ49_spl
| ~ sQ109_spl
| sQ127_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f2497,f2506,f572,f492,f285]) ).
fof(f2510,plain,
( ~ sQ49_spl
| ~ sQ109_spl
| sQ163_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f2498,f2506,f961,f492,f285]) ).
fof(f2511,definition,
! [X0] :
( sQ265_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2512,plain,
! [X0] :
( ~ sQ265_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2511]) ).
fof(f2514,plain,
( ~ sQ109_spl
| sQ169_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f2502,f2511,f1010,f492]) ).
fof(f2515,plain,
( ~ sQ109_spl
| sQ168_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f2503,f2511,f1006,f492]) ).
fof(f2516,plain,
( ~ sQ108_spl
| ~ sQ192_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f490,f1346]) ).
fof(f2517,plain,
( ~ sQ108_spl
| ~ sQ192_spl ),
inference(contradiction_clause,[status(thm)],[f2516]) ).
fof(f2518,plain,
( ~ sQ107_spl
| ~ sQ188_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f487,f1287]) ).
fof(f2519,plain,
( ~ sQ107_spl
| ~ sQ188_spl ),
inference(contradiction_clause,[status(thm)],[f2518]) ).
fof(f2525,plain,
( ~ sQ106_spl
| ~ sQ182_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f484,f1276]) ).
fof(f2526,plain,
( ~ sQ106_spl
| ~ sQ182_spl ),
inference(contradiction_clause,[status(thm)],[f2525]) ).
fof(f2527,plain,
( ~ sQ105_spl
| ~ sQ176_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f481,f1273]) ).
fof(f2528,plain,
( ~ sQ105_spl
| ~ sQ176_spl ),
inference(contradiction_clause,[status(thm)],[f2527]) ).
fof(f2529,plain,
( ~ sQ104_spl
| ~ sQ249_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f477,f2277]) ).
fof(f2530,plain,
( ~ sQ104_spl
| ~ sQ249_spl ),
inference(contradiction_clause,[status(thm)],[f2529]) ).
fof(f2531,plain,
( ~ sQ103_spl
| ~ sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f474,f985]) ).
fof(f2532,plain,
( ~ sQ103_spl
| ~ sQ162_spl ),
inference(contradiction_clause,[status(thm)],[f2531]) ).
fof(f2533,plain,
( ~ sQ102_spl
| ~ sQ158_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f471,f884]) ).
fof(f2534,plain,
( ~ sQ102_spl
| ~ sQ158_spl ),
inference(contradiction_clause,[status(thm)],[f2533]) ).
fof(f2535,plain,
( ~ sQ101_spl
| ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f468,f780]) ).
fof(f2536,plain,
( ~ sQ101_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f2535]) ).
fof(f2537,plain,
( ~ sQ100_spl
| ~ sQ250_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f465,f2329]) ).
fof(f2538,plain,
( ~ sQ100_spl
| ~ sQ250_spl ),
inference(contradiction_clause,[status(thm)],[f2537]) ).
fof(f2539,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ28_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f219,f1543]) ).
fof(f2540,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ28_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f219,f1544]) ).
fof(f2541,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ28_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f219,f694]) ).
fof(f2542,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ28_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f219,f695]) ).
fof(f2545,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f219,f95]) ).
fof(f2546,plain,
( ~ sQ28_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f219,f110]) ).
fof(f2547,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f219,f93]) ).
fof(f2548,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f219,f91]) ).
fof(f2549,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f219,f102]) ).
fof(f2550,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f219,f101]) ).
fof(f2551,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f219,f100]) ).
fof(f2552,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f219,f98]) ).
fof(f2553,definition,
! [X0] :
( sQ266_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2554,plain,
! [X0] :
( ~ sQ266_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f2553]) ).
fof(f2556,plain,
( ~ sQ68_spl
| ~ sQ28_spl
| sQ132_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2539,f2553,f616,f218,f351]) ).
fof(f2557,plain,
( ~ sQ68_spl
| ~ sQ28_spl
| sQ174_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2540,f2553,f1056,f218,f351]) ).
fof(f2558,definition,
! [X0] :
( sQ267_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2559,plain,
! [X0] :
( ~ sQ267_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f2558]) ).
fof(f2561,plain,
( ~ sQ18_spl
| ~ sQ28_spl
| sQ132_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2541,f2558,f616,f218,f181]) ).
fof(f2562,plain,
( ~ sQ18_spl
| ~ sQ28_spl
| sQ168_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2542,f2558,f1006,f218,f181]) ).
fof(f2563,definition,
! [X0] :
( sQ268_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2564,plain,
! [X0] :
( ~ sQ268_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f2563]) ).
fof(f2568,plain,
( ~ sQ28_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f2546,f568,f218]) ).
fof(f2569,definition,
! [X0] :
( sQ269_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2570,plain,
! [X0] :
( ~ sQ269_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2569]) ).
fof(f2572,plain,
( ~ sQ28_spl
| sQ161_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f2549,f2569,f920,f218]) ).
fof(f2573,plain,
( ~ sQ28_spl
| sQ126_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f2550,f2569,f568,f218]) ).
fof(f2574,plain,
( ~ sQ269_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f2570,f96]) ).
fof(f2575,plain,
( ~ sQ3_spl
| ~ sQ164_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f134,f974]) ).
fof(f2576,plain,
( ~ sQ3_spl
| ~ sQ164_spl ),
inference(contradiction_clause,[status(thm)],[f2575]) ).
fof(f2584,plain,
( ~ sQ22_spl
| ~ sQ2_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f131,f583]) ).
fof(f2585,plain,
( ~ sQ150_spl
| ~ sQ2_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f131,f802]) ).
fof(f2586,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ2_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f131,f588]) ).
fof(f2587,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ2_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f131,f587]) ).
fof(f2588,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_5,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f131,f95]) ).
fof(f2589,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f131,f93]) ).
fof(f2590,plain,
( ~ sQ2_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f131,f108]) ).
fof(f2591,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_3,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f131,f91]) ).
fof(f2592,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f131,f102]) ).
fof(f2593,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f131,f101]) ).
fof(f2594,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f131,f100]) ).
fof(f2595,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f131,f98]) ).
fof(f2596,plain,
( ~ sQ22_spl
| ~ sQ2_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f2584,f773,f130,f194]) ).
fof(f2597,plain,
( ~ sQ150_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2585,f96]) ).
fof(f2598,plain,
( ~ sQ150_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2597]) ).
fof(f2599,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f128,f939]) ).
fof(f2600,plain,
( ~ sQ138_spl
| ~ sQ1_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f128,f682]) ).
fof(f2601,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ1_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f128,f944]) ).
fof(f2602,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ1_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f128,f943]) ).
fof(f2603,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ1_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f128,f1219]) ).
fof(f2604,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ1_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f128,f1220]) ).
fof(f2605,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ1_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f128,f1470]) ).
fof(f2606,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ1_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f128,f1469]) ).
fof(f2607,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_5,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f128,f95]) ).
fof(f2608,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_5,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f128,f93]) ).
fof(f2609,plain,
( ~ sQ1_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f128,f108]) ).
fof(f2610,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f128,f91]) ).
fof(f2611,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f128,f102]) ).
fof(f2612,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f128,f101]) ).
fof(f2613,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f128,f100]) ).
fof(f2614,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f128,f98]) ).
fof(f2615,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f2599,f568,f127,f143]) ).
fof(f2616,plain,
( ~ sQ138_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2600,f96]) ).
fof(f2617,plain,
( ~ sQ138_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f2616]) ).
fof(f2618,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f125,f872]) ).
fof(f2619,plain,
( ~ sQ142_spl
| ~ sQ0_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f125,f719]) ).
fof(f2620,plain,
( ~ sQ155_spl
| ~ sQ0_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f125,f855]) ).
fof(f2621,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ0_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f125,f1158]) ).
fof(f2622,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ0_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f125,f1157]) ).
fof(f2623,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ0_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f125,f876]) ).
fof(f2624,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ0_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f125,f877]) ).
fof(f2625,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_5,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f125,f95]) ).
fof(f2626,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_5,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f125,f93]) ).
fof(f2627,plain,
( ~ sQ0_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f125,f108]) ).
fof(f2628,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_1,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f125,f91]) ).
fof(f2629,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f125,f102]) ).
fof(f2631,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f125,f100]) ).
fof(f2632,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f125,f98]) ).
fof(f2633,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f2618,f592,f124,f156]) ).
fof(f2634,plain,
( ~ sQ40_spl
| ~ sQ0_spl
| sQ126_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f2621,f1098,f568,f124,f257]) ).
fof(f2635,plain,
( ~ sQ40_spl
| ~ sQ0_spl
| sQ132_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f2622,f1098,f616,f124,f257]) ).
fof(f2636,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| sQ129_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f2623,f801,f592,f124,f156]) ).
fof(f2637,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| sQ139_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f2624,f801,f684,f124,f156]) ).
fof(f2638,plain,
( ~ sQ0_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f2627,f1010,f124]) ).
fof(f2639,plain,
( ~ sQ0_spl
| sQ148_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2629,f2272,f773,f124]) ).
fof(f2641,plain,
( ~ sQ71_spl
| ~ sQ51_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f298,f1465]) ).
fof(f2642,plain,
( ~ sQ138_spl
| ~ sQ51_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f298,f682]) ).
fof(f2643,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ51_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f298,f944]) ).
fof(f2644,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ51_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f298,f943]) ).
fof(f2645,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ51_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f298,f1219]) ).
fof(f2646,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ51_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f298,f1220]) ).
fof(f2647,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ51_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f298,f1470]) ).
fof(f2648,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ51_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f298,f1469]) ).
fof(f2649,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f298,f95]) ).
fof(f2650,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f298,f93]) ).
fof(f2651,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f298,f91]) ).
fof(f2652,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f298,f102]) ).
fof(f2653,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f298,f101]) ).
fof(f2654,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f298,f100]) ).
fof(f2655,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f298,f98]) ).
fof(f2656,plain,
( ~ sQ71_spl
| ~ sQ51_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f2641,f773,f297,f361]) ).
fof(f2657,definition,
! [X0] :
( sQ270_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2658,plain,
! [X0] :
( ~ sQ270_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f2657]) ).
fof(f2660,plain,
( ~ sQ6_spl
| ~ sQ51_spl
| sQ136_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2643,f2657,f655,f297,f143]) ).
fof(f2661,plain,
( ~ sQ6_spl
| ~ sQ51_spl
| sQ126_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2644,f2657,f568,f297,f143]) ).
fof(f2662,definition,
! [X0] :
( sQ271_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f2663,plain,
! [X0] :
( ~ sQ271_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f2662]) ).
fof(f2665,plain,
( ~ sQ36_spl
| ~ sQ51_spl
| sQ129_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f2645,f2662,f592,f297,f244]) ).
fof(f2666,plain,
( ~ sQ36_spl
| ~ sQ51_spl
| sQ152_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f2646,f2662,f817,f297,f244]) ).
fof(f2667,definition,
! [X0] :
( sQ272_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2668,plain,
! [X0] :
( ~ sQ272_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f2667]) ).
fof(f2670,plain,
( ~ sQ71_spl
| ~ sQ51_spl
| sQ154_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f2647,f2667,f838,f297,f361]) ).
fof(f2671,plain,
( ~ sQ71_spl
| ~ sQ51_spl
| sQ148_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f2648,f2667,f773,f297,f361]) ).
fof(f2672,definition,
! [X0] :
( sQ273_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2673,plain,
! [X0] :
( ~ sQ273_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f2672]) ).
fof(f2675,plain,
( ~ sQ51_spl
| sQ157_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f2652,f2672,f863,f297]) ).
fof(f2676,plain,
( ~ sQ51_spl
| sQ132_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f2653,f2672,f616,f297]) ).
fof(f2677,plain,
( ~ sQ273_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f2673,f96]) ).
fof(f2681,plain,
( ~ sQ257_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f362,f2426]) ).
fof(f2682,plain,
( ~ sQ258_spl
| ~ sQ71_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f362,f2431]) ).
fof(f2683,plain,
( ~ sQ254_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f362,f2399]) ).
fof(f2684,plain,
( ~ sQ255_spl
| ~ sQ71_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f362,f2404]) ).
fof(f2685,plain,
( ~ sQ256_spl
| ~ sQ71_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f362,f2409]) ).
fof(f2686,plain,
( ~ sQ252_spl
| ~ sQ71_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f362,f2372]) ).
fof(f2692,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ71_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f362,f1219]) ).
fof(f2693,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ71_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f362,f1220]) ).
fof(f2694,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f362,f1470]) ).
fof(f2695,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f362,f1469]) ).
fof(f2703,plain,
( ~ sQ258_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2682,f96]) ).
fof(f2704,plain,
( ~ sQ258_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f2703]) ).
fof(f2707,definition,
! [X0] :
( sQ274_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2708,plain,
! [X0] :
( ~ sQ274_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f2707]) ).
fof(f2710,plain,
( ~ sQ36_spl
| ~ sQ71_spl
| sQ130_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f2692,f2707,f596,f361,f244]) ).
fof(f2711,plain,
( ~ sQ36_spl
| ~ sQ71_spl
| sQ152_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f2693,f2707,f817,f361,f244]) ).
fof(f2712,definition,
! [X0] :
( sQ275_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f2713,plain,
! [X0] :
( ~ sQ275_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f2712]) ).
fof(f2715,plain,
( ~ sQ71_spl
| sQ154_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f2694,f2712,f838,f361]) ).
fof(f2716,plain,
( ~ sQ71_spl
| sQ172_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f2695,f2712,f1049,f361]) ).
fof(f2719,plain,
! [X0] :
( ~ sQ275_spl
| ~ product(X0,e_3,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f2713]) ).
fof(f2727,plain,
( ~ sQ264_spl
| ~ sQ98_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f453,f2507]) ).
fof(f2728,plain,
( ~ sQ265_spl
| ~ sQ98_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f453,f2512]) ).
fof(f2730,plain,
! [X0] :
( ~ sQ98_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f453,f63]) ).
fof(f2748,definition,
! [X0] :
( sQ276_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2749,plain,
! [X0] :
( ~ sQ276_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f2748]) ).
fof(f2755,plain,
! [X0] :
( ~ sQ276_spl
| ~ product(X0,e_2,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f2749]) ).
fof(f2756,plain,
( ~ sQ255_spl
| ~ sQ71_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f2684,f342,f361,f2403]) ).
fof(f2757,plain,
( ~ sQ55_spl
| ~ sQ252_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f311,f2686]) ).
fof(f2758,plain,
( ~ sQ55_spl
| ~ sQ252_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f2757]) ).
fof(f2759,plain,
( ~ sQ57_spl
| ~ sQ186_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f317,f1285]) ).
fof(f2760,plain,
( ~ sQ57_spl
| ~ sQ186_spl ),
inference(contradiction_clause,[status(thm)],[f2759]) ).
fof(f2761,plain,
( ~ sQ180_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1132,f96]) ).
fof(f2770,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1733,f96]) ).
fof(f2771,plain,
( ~ sQ59_spl
| sQ126_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f2770,f1735,f568,f322]) ).
fof(f2772,plain,
( ~ sQ55_spl
| ~ sQ65_spl
| ~ sQ233_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f311,f1962]) ).
fof(f2773,plain,
( ~ sQ55_spl
| ~ sQ65_spl
| ~ sQ233_spl ),
inference(contradiction_clause,[status(thm)],[f2772]) ).
fof(f2776,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1734,f96]) ).
fof(f2777,plain,
( ~ sQ59_spl
| sQ129_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f2776,f1735,f592,f322]) ).
fof(f2784,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ49_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f286,f1733]) ).
fof(f2785,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ49_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f286,f1734]) ).
fof(f2786,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)],[f286,f1002]) ).
fof(f2787,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)],[f286,f1001]) ).
fof(f2795,definition,
! [X0] :
( sQ277_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f2796,plain,
! [X0] :
( ~ sQ277_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f2795]) ).
fof(f2798,plain,
( ~ sQ59_spl
| ~ sQ49_spl
| sQ127_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f2784,f2795,f572,f285,f322]) ).
fof(f2799,plain,
( ~ sQ59_spl
| ~ sQ49_spl
| sQ174_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f2785,f2795,f1056,f285,f322]) ).
fof(f2800,definition,
! [X0] :
( sQ278_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f2801,plain,
! [X0] :
( ~ sQ278_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2800]) ).
fof(f2803,plain,
( ~ sQ49_spl
| sQ161_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f2786,f2800,f920,f285]) ).
fof(f2804,plain,
( ~ sQ49_spl
| sQ172_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f2787,f2800,f1049,f285]) ).
fof(f2807,plain,
! [X0] :
( ~ sQ278_spl
| ~ product(X0,e_4,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f2801]) ).
fof(f2808,plain,
( ~ sQ65_spl
| ~ sQ231_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1964,f316,f1940,f342]) ).
fof(f2820,plain,
( ~ sQ261_spl
| ~ sQ22_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f195,f2472]) ).
fof(f2821,plain,
( ~ sQ263_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f195,f2482]) ).
fof(f2822,plain,
( ~ sQ260_spl
| ~ sQ22_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f195,f2455]) ).
fof(f2825,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ22_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f195,f1125]) ).
fof(f2826,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ22_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f195,f1124]) ).
fof(f2827,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f195,f588]) ).
fof(f2828,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f195,f587]) ).
fof(f2836,plain,
( ~ sQ260_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2822,f96]) ).
fof(f2837,plain,
( ~ sQ260_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2836]) ).
fof(f2838,plain,
( ~ sQ42_spl
| ~ sQ22_spl
| sQ126_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f2825,f1126,f568,f194,f263]) ).
fof(f2839,plain,
( ~ sQ42_spl
| ~ sQ22_spl
| sQ133_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f2826,f1126,f620,f194,f263]) ).
fof(f2840,definition,
! [X0] :
( sQ279_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2841,plain,
! [X0] :
( ~ sQ279_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f2840]) ).
fof(f2843,plain,
( ~ sQ22_spl
| sQ139_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f2827,f2840,f684,f194]) ).
fof(f2844,plain,
( ~ sQ22_spl
| sQ172_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f2828,f2840,f1049,f194]) ).
fof(f2847,plain,
! [X0] :
( ~ sQ279_spl
| ~ product(X0,e_5,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f2841]) ).
fof(f2851,plain,
( ~ sQ178_spl
| ~ sQ6_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f144,f1113]) ).
fof(f2852,plain,
( ~ sQ177_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f144,f1099]) ).
fof(f2853,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ6_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f144,f1220]) ).
fof(f2854,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ6_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f144,f1219]) ).
fof(f2855,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f144,f944]) ).
fof(f2856,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f144,f943]) ).
fof(f2864,plain,
( ~ sQ177_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2852,f96]) ).
fof(f2865,plain,
( ~ sQ177_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2864]) ).
fof(f2866,definition,
! [X0] :
( sQ280_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2867,plain,
! [X0] :
( ~ sQ280_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f2866]) ).
fof(f2869,plain,
( ~ sQ36_spl
| ~ sQ6_spl
| sQ126_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f2853,f2866,f568,f143,f244]) ).
fof(f2870,plain,
( ~ sQ36_spl
| ~ sQ6_spl
| sQ174_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f2854,f2866,f1056,f143,f244]) ).
fof(f2871,plain,
( ~ sQ6_spl
| sQ139_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f2855,f969,f684,f143]) ).
fof(f2872,plain,
( ~ sQ6_spl
| sQ161_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f2856,f969,f920,f143]) ).
fof(f2875,plain,
( ~ sQ65_spl
| ~ sQ229_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1921,f294,f1908,f342]) ).
fof(f2876,plain,
( ~ sQ257_spl
| ~ sQ71_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2681,f294,f361,f2425]) ).
fof(f2877,plain,
( ~ sQ50_spl
| ~ sQ279_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f295,f2847]) ).
fof(f2878,plain,
( ~ sQ50_spl
| ~ sQ279_spl ),
inference(contradiction_clause,[status(thm)],[f2877]) ).
fof(f2879,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f716,f96]) ).
fof(f2880,plain,
( ~ sQ17_spl
| sQ136_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f2879,f723,f655,f178]) ).
fof(f2881,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f715,f96]) ).
fof(f2882,plain,
( ~ sQ17_spl
| sQ157_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f2881,f723,f863,f178]) ).
fof(f2885,plain,
( ~ sQ35_spl
| ~ sQ275_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f242,f2719]) ).
fof(f2886,plain,
( ~ sQ35_spl
| ~ sQ275_spl ),
inference(contradiction_clause,[status(thm)],[f2885]) ).
fof(f2887,plain,
( ~ sQ7_spl
| sQ129_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f929,f1696,f592,f146]) ).
fof(f2888,plain,
( ~ sQ7_spl
| sQ174_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f930,f1696,f1056,f146]) ).
fof(f2900,plain,
( ~ sQ223_spl
| ~ sQ86_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f415,f1800]) ).
fof(f2901,plain,
( ~ sQ212_spl
| ~ sQ86_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f415,f1613]) ).
fof(f2902,plain,
( ~ sQ266_spl
| ~ sQ86_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f415,f2554]) ).
fof(f2903,plain,
( ~ sQ209_spl
| ~ sQ86_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f415,f1575]) ).
fof(f2904,plain,
( ~ sQ210_spl
| ~ sQ86_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f415,f1581]) ).
fof(f2905,plain,
( ~ sQ207_spl
| ~ sQ86_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f415,f1551]) ).
fof(f2906,plain,
( ~ sQ205_spl
| ~ sQ86_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f415,f1532]) ).
fof(f2907,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ86_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f415,f944]) ).
fof(f2908,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ86_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f415,f943]) ).
fof(f2909,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f415,f95]) ).
fof(f2910,plain,
( ~ sQ86_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f415,f110]) ).
fof(f2911,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f415,f93]) ).
fof(f2912,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f415,f91]) ).
fof(f2913,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f415,f102]) ).
fof(f2914,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f415,f101]) ).
fof(f2915,plain,
! [X0,X1,X2] :
( ~ sQ86_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f415,f100]) ).
fof(f2916,plain,
! [X0,X1,X2] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f415,f98]) ).
fof(f2917,plain,
( ~ sQ223_spl
| ~ sQ86_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f2900,f401,f414,f1799]) ).
fof(f2918,definition,
! [X0] :
( sQ281_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2919,plain,
! [X0] :
( ~ sQ281_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f2918]) ).
fof(f2921,plain,
( ~ sQ6_spl
| ~ sQ86_spl
| sQ137_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f2907,f2918,f662,f414,f143]) ).
fof(f2922,plain,
( ~ sQ6_spl
| ~ sQ86_spl
| sQ152_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f2908,f2918,f817,f414,f143]) ).
fof(f2923,plain,
( ~ sQ86_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f2910,f863,f414]) ).
fof(f2924,definition,
! [X0] :
( sQ282_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2925,plain,
! [X0] :
( ~ sQ282_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f2924]) ).
fof(f2927,plain,
( ~ sQ86_spl
| sQ146_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f2913,f2924,f758,f414]) ).
fof(f2928,plain,
( ~ sQ86_spl
| sQ157_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f2914,f2924,f863,f414]) ).
fof(f2929,plain,
( ~ sQ15_spl
| ~ sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f173,f2755]) ).
fof(f2930,plain,
( ~ sQ15_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f2929]) ).
fof(f2931,plain,
( ~ sQ5_spl
| ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f141,f2807]) ).
fof(f2932,plain,
( ~ sQ5_spl
| ~ sQ278_spl ),
inference(contradiction_clause,[status(thm)],[f2931]) ).
fof(f2933,plain,
( ~ sQ80_spl
| ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f396,f2807]) ).
fof(f2934,plain,
( ~ sQ80_spl
| ~ sQ278_spl ),
inference(contradiction_clause,[status(thm)],[f2933]) ).
fof(f2935,plain,
( ~ sQ75_spl
| ~ sQ279_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f380,f2847]) ).
fof(f2936,plain,
( ~ sQ75_spl
| ~ sQ279_spl ),
inference(contradiction_clause,[status(thm)],[f2935]) ).
fof(f2948,plain,
( ~ sQ282_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f2925,f96]) ).
fof(f2960,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2152,f96]) ).
fof(f2961,plain,
( ~ sQ88_spl
| sQ174_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f2960,f2165,f1056,f420]) ).
fof(f2962,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2153,f96]) ).
fof(f2963,plain,
( ~ sQ88_spl
| sQ166_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f2962,f2165,f979,f420]) ).
fof(f2976,plain,
( ~ sQ115_spl
| ~ sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f513,f2755]) ).
fof(f2977,plain,
( ~ sQ115_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f2976]) ).
fof(f2978,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1900,f96]) ).
fof(f2979,plain,
( ~ sQ97_spl
| sQ134_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2978,f1913,f641,f449]) ).
fof(f2980,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1901,f96]) ).
fof(f2981,plain,
( ~ sQ97_spl
| sQ157_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2980,f1913,f863,f449]) ).
fof(f2982,plain,
( ~ sQ71_spl
| ~ sQ255_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f2404,f362]) ).
fof(f2983,plain,
( ~ sQ10_spl
| ~ sQ110_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f497,f871]) ).
fof(f2984,plain,
( ~ sQ35_spl
| ~ sQ110_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f497,f1227]) ).
fof(f2985,plain,
( ~ sQ194_spl
| ~ sQ110_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f497,f1408]) ).
fof(f2986,plain,
( ~ sQ195_spl
| ~ sQ110_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f497,f1421]) ).
fof(f2987,plain,
( ~ sQ197_spl
| ~ sQ110_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f497,f1446]) ).
fof(f2988,plain,
( ~ sQ199_spl
| ~ sQ110_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f497,f1473]) ).
fof(f2989,plain,
( ~ sQ206_spl
| ~ sQ110_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f497,f1547]) ).
fof(f2990,plain,
( ~ sQ200_spl
| ~ sQ110_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f497,f1478]) ).
fof(f2991,plain,
( ~ sQ272_spl
| ~ sQ110_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f497,f2668]) ).
fof(f2992,plain,
( ~ sQ274_spl
| ~ sQ110_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f497,f2708]) ).
fof(f2993,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ110_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f497,f877]) ).
fof(f2994,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ110_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f497,f876]) ).
fof(f2995,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ110_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f497,f1233]) ).
fof(f2996,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ110_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f497,f1232]) ).
fof(f2997,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f497,f95]) ).
fof(f2998,plain,
( ~ sQ110_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f497,f110]) ).
fof(f2999,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f497,f93]) ).
fof(f3000,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f497,f91]) ).
fof(f3001,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f497,f102]) ).
fof(f3002,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f497,f101]) ).
fof(f3003,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f497,f100]) ).
fof(f3004,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f497,f98]) ).
fof(f3005,plain,
( ~ sQ10_spl
| ~ sQ110_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f2983,f1010,f496,f156]) ).
fof(f3006,plain,
( ~ sQ35_spl
| ~ sQ110_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f2984,f572,f496,f241]) ).
fof(f3007,plain,
( ~ sQ197_spl
| ~ sQ110_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f2987,f483,f496,f1445]) ).
fof(f3008,plain,
( ~ sQ200_spl
| ~ sQ110_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f2990,f473,f496,f1477]) ).
fof(f3009,definition,
! [X0] :
( sQ283_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f3010,plain,
! [X0] :
( ~ sQ283_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f3009]) ).
fof(f3012,plain,
( ~ sQ10_spl
| ~ sQ110_spl
| sQ169_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f2993,f3009,f1010,f496,f156]) ).
fof(f3013,plain,
( ~ sQ10_spl
| ~ sQ110_spl
| sQ154_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f2994,f3009,f838,f496,f156]) ).
fof(f3014,definition,
! [X0] :
( sQ284_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f3015,plain,
! [X0] :
( ~ sQ284_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f3014]) ).
fof(f3017,plain,
( ~ sQ35_spl
| ~ sQ110_spl
| sQ127_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f2995,f3014,f572,f496,f241]) ).
fof(f3018,plain,
( ~ sQ35_spl
| ~ sQ110_spl
| sQ154_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f2996,f3014,f838,f496,f241]) ).
fof(f3019,plain,
( ~ sQ110_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f2998,f641,f496]) ).
fof(f3020,definition,
! [X0] :
( sQ285_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f3021,plain,
! [X0] :
( ~ sQ285_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f3020]) ).
fof(f3023,plain,
( ~ sQ110_spl
| sQ172_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f3001,f3020,f1049,f496]) ).
fof(f3024,plain,
( ~ sQ110_spl
| sQ134_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f3002,f3020,f641,f496]) ).
fof(f3025,plain,
( ~ sQ111_spl
| ~ sQ216_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f500,f1777]) ).
fof(f3026,plain,
( ~ sQ111_spl
| ~ sQ216_spl ),
inference(contradiction_clause,[status(thm)],[f3025]) ).
fof(f3027,plain,
( ~ sQ285_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f3021,f96]) ).
fof(f3029,plain,
( ~ sQ105_spl
| ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f481,f2807]) ).
fof(f3030,plain,
( ~ sQ105_spl
| ~ sQ278_spl ),
inference(contradiction_clause,[status(thm)],[f3029]) ).
fof(f3040,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ52_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f301,f1901]) ).
fof(f3041,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ52_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f301,f1900]) ).
fof(f3042,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ52_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f301,f1125]) ).
fof(f3043,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ52_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f301,f1124]) ).
fof(f3044,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f301,f95]) ).
fof(f3045,plain,
( ~ sQ52_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f301,f110]) ).
fof(f3046,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f301,f93]) ).
fof(f3047,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f301,f91]) ).
fof(f3048,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f301,f102]) ).
fof(f3049,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f301,f101]) ).
fof(f3050,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f301,f100]) ).
fof(f3051,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f301,f98]) ).
fof(f3052,definition,
! [X0] :
( sQ286_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f3053,plain,
! [X0] :
( ~ sQ286_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f3052]) ).
fof(f3055,plain,
( ~ sQ97_spl
| ~ sQ52_spl
| sQ157_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f3040,f3052,f863,f300,f449]) ).
fof(f3056,plain,
( ~ sQ97_spl
| ~ sQ52_spl
| sQ148_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f3041,f3052,f773,f300,f449]) ).
fof(f3057,definition,
! [X0] :
( sQ287_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f3058,plain,
! [X0] :
( ~ sQ287_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f3057]) ).
fof(f3060,plain,
( ~ sQ42_spl
| ~ sQ52_spl
| sQ152_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f3042,f3057,f817,f300,f263]) ).
fof(f3061,plain,
( ~ sQ42_spl
| ~ sQ52_spl
| sQ132_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f3043,f3057,f616,f300,f263]) ).
fof(f3062,plain,
( ~ sQ52_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f3045,f592,f300]) ).
fof(f3063,definition,
! [X0] :
( sQ288_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f3064,plain,
! [X0] :
( ~ sQ288_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f3063]) ).
fof(f3066,plain,
( ~ sQ52_spl
| sQ154_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f3048,f3063,f838,f300]) ).
fof(f3067,plain,
( ~ sQ52_spl
| sQ129_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f3049,f3063,f592,f300]) ).
fof(f3070,plain,
( ~ sQ281_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f264,f2919]) ).
fof(f3072,plain,
( ~ sQ242_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f264,f2156]) ).
fof(f3073,plain,
( ~ sQ244_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f264,f2166]) ).
fof(f3074,plain,
( ~ sQ241_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f264,f2137]) ).
fof(f3075,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ42_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f264,f1901]) ).
fof(f3076,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ42_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f264,f1900]) ).
fof(f3077,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f264,f1125]) ).
fof(f3078,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f264,f1124]) ).
fof(f3086,plain,
( ~ sQ244_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3073,f96]) ).
fof(f3087,plain,
( ~ sQ244_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f3086]) ).
fof(f3088,plain,
( ~ sQ97_spl
| ~ sQ42_spl
| sQ166_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f3075,f1903,f979,f263,f449]) ).
fof(f3089,plain,
( ~ sQ97_spl
| ~ sQ42_spl
| sQ135_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f3076,f1903,f648,f263,f449]) ).
fof(f3090,definition,
! [X0] :
( sQ289_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f3091,plain,
! [X0] :
( ~ sQ289_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f3090]) ).
fof(f3093,plain,
( ~ sQ42_spl
| sQ161_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f3077,f3090,f920,f263]) ).
fof(f3094,plain,
( ~ sQ42_spl
| sQ146_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f3078,f3090,f758,f263]) ).
fof(f3097,plain,
( ~ sQ89_spl
| ~ sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f424,f2677]) ).
fof(f3098,plain,
( ~ sQ89_spl
| ~ sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f3097]) ).
fof(f3099,plain,
! [X0] :
( ~ sQ289_spl
| ~ product(X0,e_4,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f3091]) ).
fof(f3100,plain,
( ~ sQ280_spl
| ~ sQ57_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f317,f2867]) ).
fof(f3101,plain,
( ~ sQ184_spl
| ~ sQ57_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f317,f1187]) ).
fof(f3102,plain,
( ~ sQ183_spl
| ~ sQ57_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f317,f1173]) ).
fof(f3103,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ57_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f317,f1901]) ).
fof(f3104,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ57_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f317,f1900]) ).
fof(f3105,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f317,f95]) ).
fof(f3106,plain,
( ~ sQ57_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f317,f110]) ).
fof(f3107,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f317,f93]) ).
fof(f3108,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f317,f91]) ).
fof(f3109,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f317,f102]) ).
fof(f3110,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f317,f101]) ).
fof(f3111,plain,
! [X0,X1,X2] :
( ~ sQ57_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f317,f100]) ).
fof(f3112,plain,
! [X0,X1,X2] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f317,f98]) ).
fof(f3113,definition,
! [X0] :
( sQ290_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f3114,plain,
! [X0] :
( ~ sQ290_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f3113]) ).
fof(f3116,plain,
( ~ sQ97_spl
| ~ sQ57_spl
| sQ157_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f3103,f3113,f863,f316,f449]) ).
fof(f3117,plain,
( ~ sQ97_spl
| ~ sQ57_spl
| sQ163_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f3104,f3113,f961,f316,f449]) ).
fof(f3118,plain,
( ~ sQ57_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f3106,f1056,f316]) ).
fof(f3119,definition,
! [X0] :
( sQ291_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f3120,plain,
! [X0] :
( ~ sQ291_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f3119]) ).
fof(f3122,plain,
( ~ sQ57_spl
| sQ154_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f3109,f3119,f838,f316]) ).
fof(f3123,plain,
( ~ sQ57_spl
| sQ174_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f3110,f3119,f1056,f316]) ).
fof(f3124,plain,
( ~ sQ71_spl
| ~ sQ252_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f2372,f362]) ).
fof(f3125,plain,
( ~ sQ42_spl
| ~ sQ240_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f2132,f264]) ).
fof(f3126,plain,
( ~ sQ288_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f3064,f96]) ).
fof(f3128,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f564,f96]) ).
fof(f3129,plain,
( ~ sQ23_spl
| sQ168_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f3128,f565,f1006,f197]) ).
fof(f3130,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f563,f96]) ).
fof(f3131,plain,
( ~ sQ23_spl
| sQ163_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f3130,f565,f961,f197]) ).
fof(f3133,plain,
( ~ sQ291_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f3120,f96]) ).
fof(f3135,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)],[f1042,f96]) ).
fof(f3136,definition,
! [X0] :
( sQ292_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f3137,plain,
! [X0] :
( ~ sQ292_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f3136]) ).
fof(f3140,plain,
( ~ sQ47_spl
| sQ134_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f3135,f1053,f641,f279]) ).
fof(f3141,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ47_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1043,f264]) ).
fof(f3142,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)],[f1043,f96]) ).
fof(f3143,plain,
( ~ sQ42_spl
| ~ sQ47_spl
| sQ161_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f3141,f3136,f920,f279,f263]) ).
fof(f3144,plain,
( ~ sQ47_spl
| sQ152_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f3142,f1053,f817,f279]) ).
fof(f3145,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2129,f96]) ).
fof(f3146,plain,
( ~ sQ89_spl
| sQ129_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f3145,f2136,f592,f423]) ).
fof(f3147,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2130,f96]) ).
fof(f3148,plain,
( ~ sQ89_spl
| sQ132_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f3147,f2136,f616,f423]) ).
fof(f3153,plain,
( ~ sQ42_spl
| ~ sQ47_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1038,f264]) ).
fof(f3154,plain,
( ~ sQ42_spl
| ~ sQ47_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f3153,f648,f279,f263]) ).
fof(f3178,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1529,f96]) ).
fof(f3179,plain,
( ~ sQ69_spl
| sQ132_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f3178,f1531,f616,f354]) ).
fof(f3180,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1530,f96]) ).
fof(f3181,plain,
( ~ sQ69_spl
| sQ129_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f3180,f1531,f592,f354]) ).
fof(f3188,plain,
( ~ sQ284_spl
| ~ sQ97_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f450,f3015]) ).
fof(f3189,plain,
( ~ sQ261_spl
| ~ sQ97_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f450,f2472]) ).
fof(f3190,plain,
( ~ sQ259_spl
| ~ sQ97_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f450,f2450]) ).
fof(f3191,plain,
( ~ sQ283_spl
| ~ sQ97_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f450,f3010]) ).
fof(f3192,plain,
( ~ sQ262_spl
| ~ sQ97_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f450,f2477]) ).
fof(f3194,plain,
( ~ sQ260_spl
| ~ sQ97_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f450,f2455]) ).
fof(f3195,plain,
( ~ sQ263_spl
| ~ sQ97_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f450,f2482]) ).
fof(f3197,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f450,f1901]) ).
fof(f3198,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f450,f1900]) ).
fof(f3206,plain,
( ~ sQ97_spl
| sQ146_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f3197,f2748,f758,f449]) ).
fof(f3207,plain,
( ~ sQ97_spl
| sQ172_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f3198,f2748,f1049,f449]) ).
fof(f3212,plain,
( ~ sQ274_spl
| ~ sQ35_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f242,f2708]) ).
fof(f3213,plain,
( ~ sQ203_spl
| ~ sQ35_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f242,f1511]) ).
fof(f3214,plain,
( ~ sQ196_spl
| ~ sQ35_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f242,f1441]) ).
fof(f3215,plain,
( ~ sQ201_spl
| ~ sQ35_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f242,f1483]) ).
fof(f3218,plain,
( ~ sQ195_spl
| ~ sQ35_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f242,f1421]) ).
fof(f3219,plain,
( ~ sQ199_spl
| ~ sQ35_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f242,f1473]) ).
fof(f3220,plain,
( ~ sQ206_spl
| ~ sQ35_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f242,f1547]) ).
fof(f3222,plain,
( ~ sQ272_spl
| ~ sQ35_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f242,f2668]) ).
fof(f3224,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f242,f1233]) ).
fof(f3225,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ35_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f242,f768]) ).
fof(f3226,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ35_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f242,f769]) ).
fof(f3232,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f242,f100]) ).
fof(f3233,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f242,f98]) ).
fof(f3234,plain,
( ~ sQ203_spl
| ~ sQ35_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f3213,f212,f241,f1510]) ).
fof(f3235,plain,
( ~ sQ195_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3218,f96]) ).
fof(f3236,plain,
( ~ sQ195_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f3235]) ).
fof(f3237,plain,
( ~ sQ36_spl
| ~ sQ242_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f245,f3072]) ).
fof(f3238,plain,
( ~ sQ36_spl
| ~ sQ242_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f3237]) ).
fof(f3239,plain,
( ~ sQ76_spl
| ~ sQ261_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f383,f3189]) ).
fof(f3240,plain,
( ~ sQ76_spl
| ~ sQ261_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f3239]) ).
fof(f3250,plain,
( ~ sQ156_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f860,f96]) ).
fof(f3251,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1170,f96]) ).
fof(f3252,plain,
( ~ sQ39_spl
| sQ129_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f3251,f1172,f592,f253]) ).
fof(f3253,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1171,f96]) ).
fof(f3254,plain,
( ~ sQ39_spl
| sQ126_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f3253,f1172,f568,f253]) ).
fof(f3257,plain,
( ~ sQ6_spl
| ~ sQ289_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f144,f3099]) ).
fof(f3258,plain,
( ~ sQ6_spl
| ~ sQ289_spl ),
inference(contradiction_clause,[status(thm)],[f3257]) ).
fof(f3259,plain,
( ~ sQ199_spl
| ~ sQ35_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3219,f215,f241,f1472]) ).
fof(f3261,plain,
( ~ sQ35_spl
| sQ161_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f3224,f1292,f920,f241]) ).
fof(f3266,plain,
( ~ sQ264_spl
| ~ sQ23_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f198,f2507]) ).
fof(f3268,plain,
( ~ sQ265_spl
| ~ sQ23_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f198,f2512]) ).
fof(f3269,plain,
! [X0] :
( ~ sQ23_spl
| ~ greater(e_4,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f198,f63]) ).
fof(f3270,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f198,f563]) ).
fof(f3271,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f198,f564]) ).
fof(f3279,plain,
( ~ sQ265_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3268,f96]) ).
fof(f3280,plain,
( ~ sQ265_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f3279]) ).
fof(f3281,plain,
( ~ sQ23_spl
| sQ172_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f3270,f2840,f1049,f197]) ).
fof(f3282,plain,
( ~ sQ23_spl
| sQ139_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f3271,f2840,f684,f197]) ).
fof(f3285,plain,
( ~ sQ196_spl
| ~ sQ35_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f3214,f209,f241,f1440]) ).
fof(f3286,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ81_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f399,f944]) ).
fof(f3287,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ81_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f399,f943]) ).
fof(f3288,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f399,f95]) ).
fof(f3289,plain,
( ~ sQ81_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f399,f110]) ).
fof(f3290,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f399,f93]) ).
fof(f3291,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f399,f91]) ).
fof(f3292,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f399,f102]) ).
fof(f3293,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f399,f101]) ).
fof(f3294,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f399,f100]) ).
fof(f3295,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f399,f98]) ).
fof(f3296,definition,
! [X0] :
( sQ293_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f3297,plain,
! [X0] :
( ~ sQ293_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f3296]) ).
fof(f3299,plain,
( ~ sQ6_spl
| ~ sQ81_spl
| sQ137_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f3286,f3296,f662,f398,f143]) ).
fof(f3300,plain,
( ~ sQ6_spl
| ~ sQ81_spl
| sQ161_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f3287,f3296,f920,f398,f143]) ).
fof(f3301,plain,
( ~ sQ81_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f3289,f979,f398]) ).
fof(f3302,definition,
! [X0] :
( sQ294_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f3303,plain,
! [X0] :
( ~ sQ294_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f3302]) ).
fof(f3305,plain,
( ~ sQ81_spl
| sQ146_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f3292,f3302,f758,f398]) ).
fof(f3306,plain,
( ~ sQ81_spl
| sQ166_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f3293,f3302,f979,f398]) ).
fof(f3307,plain,
( ~ sQ225_spl
| ~ sQ115_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f513,f1872]) ).
fof(f3308,plain,
( ~ sQ290_spl
| ~ sQ115_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f513,f3114]) ).
fof(f3309,plain,
( ~ sQ229_spl
| ~ sQ115_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f513,f1909]) ).
fof(f3310,plain,
( ~ sQ286_spl
| ~ sQ115_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f513,f3053]) ).
fof(f3311,plain,
( ~ sQ233_spl
| ~ sQ115_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f513,f1951]) ).
fof(f3312,plain,
( ~ sQ230_spl
| ~ sQ115_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f513,f1914]) ).
fof(f3313,plain,
( ~ sQ232_spl
| ~ sQ115_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f513,f1946]) ).
fof(f3314,plain,
( ~ sQ268_spl
| ~ sQ115_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f513,f2564]) ).
fof(f3315,plain,
( ~ sQ235_spl
| ~ sQ115_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f513,f1988]) ).
fof(f3316,plain,
( ~ sQ243_spl
| ~ sQ115_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f513,f2161]) ).
fof(f3317,plain,
( ~ sQ234_spl
| ~ sQ115_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f513,f1957]) ).
fof(f3318,plain,
( ~ sQ227_spl
| ~ sQ115_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f513,f1882]) ).
fof(f3319,plain,
( ~ sQ224_spl
| ~ sQ115_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f513,f1852]) ).
fof(f3320,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f513,f95]) ).
fof(f3321,plain,
( ~ sQ115_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f513,f110]) ).
fof(f3322,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f513,f93]) ).
fof(f3323,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f513,f91]) ).
fof(f3324,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f513,f102]) ).
fof(f3325,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f513,f101]) ).
fof(f3326,plain,
! [X0,X1,X2] :
( ~ sQ115_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f513,f100]) ).
fof(f3327,plain,
! [X0,X1,X2] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f513,f98]) ).
fof(f3328,plain,
( ~ sQ225_spl
| ~ sQ115_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f3307,f467,f512,f1871]) ).
fof(f3329,plain,
( ~ sQ233_spl
| ~ sQ115_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f3311,f480,f512,f1950]) ).
fof(f3330,plain,
( ~ sQ115_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f3321,f648,f512]) ).
fof(f3331,definition,
! [X0] :
( sQ295_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f3332,plain,
! [X0] :
( ~ sQ295_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f3331]) ).
fof(f3334,plain,
( ~ sQ115_spl
| sQ172_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f3324,f3331,f1049,f512]) ).
fof(f3335,plain,
( ~ sQ115_spl
| sQ135_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f3325,f3331,f648,f512]) ).
fof(f3336,plain,
( ~ sQ247_spl
| ~ sQ119_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f2360,f480,f524,f2213]) ).
fof(f3361,plain,
( ~ sQ294_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f3303,f96]) ).
fof(f3363,plain,
( ~ sQ295_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f3332,f96]) ).
fof(f3378,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2369,f96]) ).
fof(f3379,plain,
( ~ sQ119_spl
| sQ132_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f3378,f2376,f616,f524]) ).
fof(f3380,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2370,f96]) ).
fof(f3381,plain,
( ~ sQ119_spl
| sQ148_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f3380,f2376,f773,f524]) ).
fof(f3382,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2504,f96]) ).
fof(f3383,plain,
( ~ sQ109_spl
| sQ126_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f3382,f2511,f568,f492]) ).
fof(f3384,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2505,f96]) ).
fof(f3385,plain,
( ~ sQ109_spl
| sQ148_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f3384,f2511,f773,f492]) ).
fof(f3386,plain,
( ~ sQ211_spl
| ~ sQ111_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f500,f1608]) ).
fof(f3387,plain,
( ~ sQ209_spl
| ~ sQ111_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f500,f1575]) ).
fof(f3388,plain,
( ~ sQ215_spl
| ~ sQ111_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f500,f1640]) ).
fof(f3389,plain,
( ~ sQ208_spl
| ~ sQ111_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f500,f1570]) ).
fof(f3390,plain,
( ~ sQ213_spl
| ~ sQ111_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f500,f1618]) ).
fof(f3391,plain,
( ~ sQ212_spl
| ~ sQ111_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f500,f1613]) ).
fof(f3392,plain,
( ~ sQ266_spl
| ~ sQ111_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f500,f2554]) ).
fof(f3393,plain,
( ~ sQ210_spl
| ~ sQ111_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f500,f1581]) ).
fof(f3394,plain,
( ~ sQ207_spl
| ~ sQ111_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f500,f1551]) ).
fof(f3395,plain,
( ~ sQ205_spl
| ~ sQ111_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f500,f1532]) ).
fof(f3396,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ111_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f500,f1469]) ).
fof(f3397,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ111_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f500,f1470]) ).
fof(f3398,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ111_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f500,f944]) ).
fof(f3399,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ111_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f500,f943]) ).
fof(f3400,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f500,f95]) ).
fof(f3401,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f500,f93]) ).
fof(f3402,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f500,f91]) ).
fof(f3403,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f500,f102]) ).
fof(f3404,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f500,f101]) ).
fof(f3405,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f500,f100]) ).
fof(f3406,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f500,f98]) ).
fof(f3407,plain,
( ~ sQ266_spl
| ~ sQ111_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f3392,f492,f499,f2553]) ).
fof(f3408,definition,
! [X0] :
( sQ296_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f3409,plain,
! [X0] :
( ~ sQ296_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f3408]) ).
fof(f3411,plain,
( ~ sQ71_spl
| ~ sQ111_spl
| sQ134_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f3396,f3408,f641,f499,f361]) ).
fof(f3412,plain,
( ~ sQ71_spl
| ~ sQ111_spl
| sQ130_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f3397,f3408,f596,f499,f361]) ).
fof(f3413,definition,
! [X0] :
( sQ297_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f3414,plain,
! [X0] :
( ~ sQ297_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f3413]) ).
fof(f3416,plain,
( ~ sQ6_spl
| ~ sQ111_spl
| sQ169_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f3398,f3413,f1010,f499,f143]) ).
fof(f3417,plain,
( ~ sQ6_spl
| ~ sQ111_spl
| sQ152_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f3399,f3413,f817,f499,f143]) ).
fof(f3418,definition,
! [X0] :
( sQ298_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f3419,plain,
! [X0] :
( ~ sQ298_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f3418]) ).
fof(f3421,plain,
( ~ sQ111_spl
| sQ133_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f3403,f3418,f620,f499]) ).
fof(f3422,plain,
( ~ sQ111_spl
| sQ157_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f3404,f3418,f863,f499]) ).
fof(f3423,plain,
( ~ sQ107_spl
| ~ sQ191_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f487,f1297]) ).
fof(f3424,plain,
( ~ sQ107_spl
| ~ sQ191_spl ),
inference(contradiction_clause,[status(thm)],[f3423]) ).
fof(f3431,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ49_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f286,f2370]) ).
fof(f3432,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ49_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f286,f2369]) ).
fof(f3433,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ49_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f286,f2130]) ).
fof(f3434,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ49_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f286,f2129]) ).
fof(f3444,plain,
( ~ sQ119_spl
| ~ sQ49_spl
| sQ163_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f3431,f2371,f961,f285,f524]) ).
fof(f3445,plain,
( ~ sQ119_spl
| ~ sQ49_spl
| sQ133_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f3432,f2371,f620,f285,f524]) ).
fof(f3446,plain,
( ~ sQ89_spl
| ~ sQ49_spl
| sQ166_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f3433,f2131,f979,f285,f423]) ).
fof(f3447,plain,
( ~ sQ89_spl
| ~ sQ49_spl
| sQ130_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f3434,f2131,f596,f285,f423]) ).
fof(f3455,plain,
( ~ sQ257_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f362,f2426]) ).
fof(f3456,plain,
( ~ sQ254_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f362,f2399]) ).
fof(f3459,plain,
( ~ sQ253_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f362,f2377]) ).
fof(f3468,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f362,f100]) ).
fof(f3469,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f362,f98]) ).
fof(f3476,plain,
( ~ sQ68_spl
| ~ sQ18_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f182,f1538]) ).
fof(f3478,plain,
( ~ sQ293_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f182,f3297]) ).
fof(f3479,plain,
( ~ sQ245_spl
| ~ sQ18_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f182,f2186]) ).
fof(f3480,plain,
( ~ sQ246_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f182,f2191]) ).
fof(f3481,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ18_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f182,f1543]) ).
fof(f3482,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ18_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f182,f1544]) ).
fof(f3483,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f182,f695]) ).
fof(f3484,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f182,f694]) ).
fof(f3492,plain,
( ~ sQ68_spl
| ~ sQ18_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f3476,f592,f181,f351]) ).
fof(f3493,plain,
( ~ sQ246_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3480,f96]) ).
fof(f3494,plain,
( ~ sQ246_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3493]) ).
fof(f3495,plain,
( ~ sQ18_spl
| sQ139_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f3483,f783,f684,f181]) ).
fof(f3496,plain,
( ~ sQ18_spl
| sQ146_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f3484,f783,f758,f181]) ).
fof(f3499,plain,
( ~ sQ65_spl
| ~ sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f343,f2755]) ).
fof(f3500,plain,
( ~ sQ65_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f3499]) ).
fof(f3501,plain,
( ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1963,f303,f1945,f342]) ).
fof(f3502,plain,
( ~ sQ65_spl
| ~ sQ228_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1922,f313,f1903,f342]) ).
fof(f3503,plain,
( ~ sQ10_spl
| ~ sQ275_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f157,f2719]) ).
fof(f3504,plain,
( ~ sQ10_spl
| ~ sQ275_spl ),
inference(contradiction_clause,[status(thm)],[f3503]) ).
fof(f3514,plain,
( ~ sQ186_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f1209,f96]) ).
fof(f3523,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ113_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2469,f182]) ).
fof(f3524,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2469,f96]) ).
fof(f3525,plain,
( ~ sQ18_spl
| ~ sQ113_spl
| sQ144_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f3523,f2471,f727,f505,f181]) ).
fof(f3526,plain,
( ~ sQ113_spl
| sQ174_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f3524,f2481,f1056,f505]) ).
fof(f3527,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ113_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2470,f182]) ).
fof(f3528,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2470,f96]) ).
fof(f3529,plain,
( ~ sQ18_spl
| ~ sQ113_spl
| sQ148_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f3527,f2471,f773,f505,f181]) ).
fof(f3530,plain,
( ~ sQ113_spl
| sQ163_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f3528,f2481,f961,f505]) ).
fof(f3550,plain,
( ~ sQ65_spl
| ~ sQ40_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f258,f1631]) ).
fof(f3551,plain,
( ~ sQ226_spl
| ~ sQ40_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f258,f1877]) ).
fof(f3552,plain,
( ~ sQ224_spl
| ~ sQ40_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f258,f1852]) ).
fof(f3553,plain,
( ~ sQ227_spl
| ~ sQ40_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f258,f1882]) ).
fof(f3554,plain,
( ~ sQ234_spl
| ~ sQ40_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f258,f1957]) ).
fof(f3555,plain,
( ~ sQ243_spl
| ~ sQ40_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f258,f2161]) ).
fof(f3556,plain,
( ~ sQ235_spl
| ~ sQ40_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f258,f1988]) ).
fof(f3557,plain,
( ~ sQ268_spl
| ~ sQ40_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f258,f2564]) ).
fof(f3558,plain,
( ~ sQ286_spl
| ~ sQ40_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f258,f3053]) ).
fof(f3559,plain,
( ~ sQ290_spl
| ~ sQ40_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f258,f3114]) ).
fof(f3560,plain,
( ~ sQ236_spl
| ~ sQ40_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f258,f1993]) ).
fof(f3561,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ40_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f258,f1636]) ).
fof(f3562,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ40_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f258,f1637]) ).
fof(f3563,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f258,f1158]) ).
fof(f3564,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f258,f1157]) ).
fof(f3565,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f258,f877]) ).
fof(f3566,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f258,f876]) ).
fof(f3567,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f258,f95]) ).
fof(f3568,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f258,f93]) ).
fof(f3569,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f258,f91]) ).
fof(f3574,plain,
( ~ sQ65_spl
| ~ sQ40_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f3550,f1056,f257,f342]) ).
fof(f3575,plain,
( ~ sQ227_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3553,f96]) ).
fof(f3576,plain,
( ~ sQ227_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f3575]) ).
fof(f3577,definition,
! [X0] :
( sQ299_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f3578,plain,
! [X0] :
( ~ sQ299_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f3577]) ).
fof(f3580,plain,
( ~ sQ15_spl
| ~ sQ35_spl
| sQ157_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f3225,f3577,f863,f241,f172]) ).
fof(f3581,plain,
( ~ sQ15_spl
| ~ sQ35_spl
| sQ168_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f3226,f3577,f1006,f241,f172]) ).
fof(f3582,plain,
( ~ sQ51_spl
| ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f298,f788]) ).
fof(f3583,plain,
( ~ sQ51_spl
| ~ sQ149_spl ),
inference(contradiction_clause,[status(thm)],[f3582]) ).
fof(f3584,plain,
( ~ sQ209_spl
| ~ sQ111_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f3387,f483,f499,f1574]) ).
fof(f3585,plain,
( ~ sQ211_spl
| ~ sQ111_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3386,f470,f499,f1607]) ).
fof(f3587,plain,
( ~ sQ147_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f771,f96]) ).
fof(f3588,plain,
( ~ sQ162_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f958,f96]) ).
fof(f3603,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2654,f96]) ).
fof(f3604,plain,
( ~ sQ51_spl
| sQ137_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f3603,f2672,f662,f297]) ).
fof(f3605,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2655,f96]) ).
fof(f3606,plain,
( ~ sQ51_spl
| sQ144_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f3605,f2672,f727,f297]) ).
fof(f3608,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f3405,f96]) ).
fof(f3609,plain,
( ~ sQ111_spl
| sQ144_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f3608,f3418,f727,f499]) ).
fof(f3610,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ76_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f383,f3405]) ).
fof(f3611,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ76_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f383,f2655]) ).
fof(f3612,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ76_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f383,f2654]) ).
fof(f3613,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ76_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f383,f851]) ).
fof(f3614,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ76_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f383,f852]) ).
fof(f3615,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f383,f95]) ).
fof(f3616,plain,
( ~ sQ76_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f383,f110]) ).
fof(f3617,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f383,f93]) ).
fof(f3618,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f383,f91]) ).
fof(f3619,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f383,f102]) ).
fof(f3620,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f383,f101]) ).
fof(f3621,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f383,f100]) ).
fof(f3622,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f383,f98]) ).
fof(f3623,definition,
! [X0] :
( sQ300_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f3624,plain,
! [X0] :
( ~ sQ300_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f3623]) ).
fof(f3626,plain,
( ~ sQ111_spl
| ~ sQ76_spl
| sQ129_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f3610,f3623,f592,f382,f499]) ).
fof(f3627,definition,
! [X0] :
( sQ301_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f3628,plain,
! [X0] :
( ~ sQ301_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f3627]) ).
fof(f3630,plain,
( ~ sQ51_spl
| ~ sQ76_spl
| sQ144_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f3611,f3627,f727,f382,f297]) ).
fof(f3631,plain,
( ~ sQ51_spl
| ~ sQ76_spl
| sQ139_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f3612,f3627,f684,f382,f297]) ).
fof(f3632,definition,
! [X0] :
( sQ302_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f3633,plain,
! [X0] :
( ~ sQ302_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f3632]) ).
fof(f3635,plain,
( ~ sQ11_spl
| ~ sQ76_spl
| sQ129_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f3613,f3632,f592,f382,f159]) ).
fof(f3636,plain,
( ~ sQ11_spl
| ~ sQ76_spl
| sQ137_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f3614,f3632,f662,f382,f159]) ).
fof(f3637,plain,
( ~ sQ76_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3616,f616,f382]) ).
fof(f3638,definition,
! [X0] :
( sQ303_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f3639,plain,
! [X0] :
( ~ sQ303_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f3638]) ).
fof(f3641,plain,
( ~ sQ76_spl
| sQ146_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f3619,f3638,f758,f382]) ).
fof(f3642,plain,
( ~ sQ76_spl
| sQ132_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f3620,f3638,f616,f382]) ).
fof(f3645,plain,
( ~ sQ262_spl
| ~ sQ22_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f195,f2477]) ).
fof(f3646,plain,
( ~ sQ284_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f195,f3015]) ).
fof(f3647,plain,
( ~ sQ298_spl
| ~ sQ22_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f195,f3419]) ).
fof(f3648,plain,
( ~ sQ297_spl
| ~ sQ22_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f195,f3414]) ).
fof(f3649,plain,
( ~ sQ296_spl
| ~ sQ22_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f195,f3409]) ).
fof(f3651,plain,
( ~ sQ283_spl
| ~ sQ22_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f195,f3010]) ).
fof(f3652,plain,
( ~ sQ259_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f195,f2450]) ).
fof(f3653,plain,
( ~ sQ263_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f195,f2482]) ).
fof(f3664,plain,
( ~ sQ262_spl
| ~ sQ22_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f3645,f172,f194,f2476]) ).
fof(f3665,plain,
( ~ sQ259_spl
| ~ sQ22_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3652,f140,f194,f2449]) ).
fof(f3673,plain,
( ~ sQ265_spl
| ~ sQ98_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f453,f2512]) ).
fof(f3675,plain,
! [X0] :
( ~ sQ98_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f453,f63]) ).
fof(f3694,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f210,f1228]) ).
fof(f3695,plain,
( ~ sQ155_spl
| ~ sQ25_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f210,f855]) ).
fof(f3696,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ25_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f210,f3232]) ).
fof(f3697,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ25_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f210,f3233]) ).
fof(f3698,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f210,f95]) ).
fof(f3699,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f210,f93]) ).
fof(f3700,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_1,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f210,f91]) ).
fof(f3701,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f210,f102]) ).
fof(f3702,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f210,f101]) ).
fof(f3703,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f210,f100]) ).
fof(f3704,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f210,f98]) ).
fof(f3705,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f3694,f592,f209,f241]) ).
fof(f3706,definition,
! [X0] :
( sQ304_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f3707,plain,
! [X0] :
( ~ sQ304_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f3706]) ).
fof(f3709,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| sQ129_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f3696,f3706,f592,f209,f241]) ).
fof(f3710,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| sQ161_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f3697,f3706,f920,f209,f241]) ).
fof(f3711,definition,
! [X0] :
( sQ305_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f3712,plain,
! [X0] :
( ~ sQ305_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f3711]) ).
fof(f3714,plain,
( ~ sQ25_spl
| sQ163_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f3701,f3711,f961,f209]) ).
fof(f3715,plain,
( ~ sQ25_spl
| sQ148_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f3702,f3711,f773,f209]) ).
fof(f3718,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f3406,f96]) ).
fof(f3719,plain,
( ~ sQ111_spl
| sQ135_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f3718,f3418,f648,f499]) ).
fof(f3722,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f954,f96]) ).
fof(f3723,plain,
( ~ sQ5_spl
| sQ169_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f3722,f957,f1010,f140]) ).
fof(f3724,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ117_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2423,f195]) ).
fof(f3725,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2423,f96]) ).
fof(f3726,plain,
( ~ sQ22_spl
| ~ sQ117_spl
| sQ133_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f3724,f2425,f620,f518,f194]) ).
fof(f3727,plain,
( ~ sQ117_spl
| sQ157_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f3725,f2430,f863,f518]) ).
fof(f3728,plain,
( ~ sQ303_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f3639,f96]) ).
fof(f3729,plain,
( ~ sQ22_spl
| ~ sQ300_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f3624,f195]) ).
fof(f3731,plain,
( ~ sQ175_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1072,f96]) ).
fof(f3733,plain,
( ~ sQ305_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f3712,f96]) ).
fof(f3735,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ117_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2424,f195]) ).
fof(f3736,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2424,f96]) ).
fof(f3737,plain,
( ~ sQ22_spl
| ~ sQ117_spl
| sQ148_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f3735,f2425,f773,f518,f194]) ).
fof(f3738,plain,
( ~ sQ117_spl
| sQ134_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f3736,f2430,f641,f518]) ).
fof(f3739,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ74_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1405,f286]) ).
fof(f3740,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1405,f96]) ).
fof(f3741,plain,
( ~ sQ49_spl
| ~ sQ74_spl
| sQ172_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f3739,f1482,f1049,f370,f285]) ).
fof(f3742,plain,
( ~ sQ74_spl
| sQ148_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f3740,f1407,f773,f370]) ).
fof(f3743,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ74_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1406,f286]) ).
fof(f3744,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1406,f96]) ).
fof(f3745,plain,
( ~ sQ49_spl
| ~ sQ74_spl
| sQ174_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f3743,f1482,f1056,f370,f285]) ).
fof(f3746,plain,
( ~ sQ74_spl
| sQ129_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f3744,f1407,f592,f370]) ).
fof(f3747,plain,
( ~ sQ176_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f1087,f96]) ).
fof(f3771,plain,
( ~ sQ240_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f264,f2132]) ).
fof(f3794,plain,
( ~ sQ293_spl
| ~ sQ68_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f352,f3297]) ).
fof(f3795,plain,
( ~ sQ245_spl
| ~ sQ68_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f352,f2186]) ).
fof(f3796,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f352,f1543]) ).
fof(f3797,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f352,f1544]) ).
fof(f3807,plain,
( ~ sQ245_spl
| ~ sQ68_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f3795,f310,f351,f2185]) ).
fof(f3808,plain,
( ~ sQ68_spl
| sQ146_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f3796,f1767,f758,f351]) ).
fof(f3809,plain,
( ~ sQ68_spl
| sQ154_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f3797,f1767,f838,f351]) ).
fof(f3821,plain,
( ~ sQ196_spl
| ~ sQ35_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f242,f1441]) ).
fof(f3823,plain,
( ~ sQ201_spl
| ~ sQ35_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f242,f1483]) ).
fof(f3824,plain,
( ~ sQ194_spl
| ~ sQ35_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f242,f1408]) ).
fof(f3827,plain,
( ~ sQ274_spl
| ~ sQ35_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f242,f2708]) ).
fof(f3830,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ35_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f242,f954]) ).
fof(f3831,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ35_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f242,f953]) ).
fof(f3843,plain,
( ~ sQ5_spl
| ~ sQ35_spl
| sQ168_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f3830,f2866,f1006,f241,f140]) ).
fof(f3844,plain,
( ~ sQ5_spl
| ~ sQ35_spl
| sQ152_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f3831,f2866,f817,f241,f140]) ).
fof(f3851,plain,
( ~ sQ111_spl
| ~ sQ11_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f160,f3400]) ).
fof(f3853,plain,
( ~ sQ215_spl
| ~ sQ11_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f160,f1640]) ).
fof(f3854,plain,
( ~ sQ208_spl
| ~ sQ11_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f160,f1570]) ).
fof(f3855,plain,
( ~ sQ213_spl
| ~ sQ11_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f160,f1618]) ).
fof(f3856,plain,
( ~ sQ212_spl
| ~ sQ11_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f160,f1613]) ).
fof(f3857,plain,
( ~ sQ210_spl
| ~ sQ11_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f160,f1581]) ).
fof(f3858,plain,
( ~ sQ207_spl
| ~ sQ11_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f160,f1551]) ).
fof(f3859,plain,
( ~ sQ205_spl
| ~ sQ11_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f160,f1532]) ).
fof(f3860,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ11_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f160,f1070]) ).
fof(f3861,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ11_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f160,f1069]) ).
fof(f3862,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ11_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f160,f3406]) ).
fof(f3863,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ11_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f160,f3405]) ).
fof(f3864,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ11_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f160,f2655]) ).
fof(f3865,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ11_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f160,f2654]) ).
fof(f3866,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f160,f851]) ).
fof(f3867,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f160,f852]) ).
fof(f3869,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f160,f93]) ).
fof(f3873,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f160,f100]) ).
fof(f3874,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f160,f98]) ).
fof(f3875,plain,
( ~ sQ111_spl
| ~ sQ11_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f3851,f773,f159,f499]) ).
fof(f3876,plain,
( ~ sQ213_spl
| ~ sQ11_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3855,f140,f159,f1617]) ).
fof(f3877,plain,
( ~ sQ205_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3859,f96]) ).
fof(f3878,plain,
( ~ sQ205_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f3877]) ).
fof(f3880,plain,
( ~ sQ35_spl
| ~ sQ199_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f1473,f242]) ).
fof(f3881,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ13_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f812,f352]) ).
fof(f3883,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f812,f96]) ).
fof(f3884,plain,
( ~ sQ68_spl
| ~ sQ13_spl
| sQ136_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f3881,f1607,f655,f165,f351]) ).
fof(f3886,plain,
( ~ sQ13_spl
| sQ168_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f3883,f813,f1006,f165]) ).
fof(f3888,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ13_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f811,f352]) ).
fof(f3890,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f811,f96]) ).
fof(f3891,plain,
( ~ sQ68_spl
| ~ sQ13_spl
| sQ144_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f3888,f1607,f727,f165,f351]) ).
fof(f3893,plain,
( ~ sQ13_spl
| sQ174_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f3890,f813,f1056,f165]) ).
fof(f3895,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f173,f949]) ).
fof(f3898,plain,
( ~ sQ228_spl
| ~ sQ15_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f173,f1904]) ).
fof(f3899,plain,
( ~ sQ225_spl
| ~ sQ15_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f173,f1872]) ).
fof(f3900,plain,
( ~ sQ230_spl
| ~ sQ15_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f173,f1914]) ).
fof(f3901,plain,
( ~ sQ226_spl
| ~ sQ15_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f173,f1877]) ).
fof(f3902,plain,
( ~ sQ224_spl
| ~ sQ15_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f173,f1852]) ).
fof(f3903,plain,
( ~ sQ227_spl
| ~ sQ15_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f173,f1882]) ).
fof(f3904,plain,
( ~ sQ234_spl
| ~ sQ15_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f173,f1957]) ).
fof(f3906,plain,
( ~ sQ235_spl
| ~ sQ15_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f173,f1988]) ).
fof(f3907,plain,
( ~ sQ268_spl
| ~ sQ15_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f173,f2564]) ).
fof(f3908,plain,
( ~ sQ286_spl
| ~ sQ15_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f173,f3053]) ).
fof(f3909,plain,
( ~ sQ290_spl
| ~ sQ15_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f173,f3114]) ).
fof(f3910,plain,
( ~ sQ236_spl
| ~ sQ15_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f173,f1993]) ).
fof(f3911,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f173,f769]) ).
fof(f3913,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ15_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f173,f954]) ).
fof(f3914,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ15_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f173,f953]) ).
fof(f3915,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ15_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f173,f3232]) ).
fof(f3916,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ15_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f173,f3233]) ).
fof(f3924,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f3895,f700,f172,f140]) ).
fof(f3925,plain,
( ~ sQ224_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3902,f96]) ).
fof(f3926,plain,
( ~ sQ224_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f3925]) ).
fof(f3927,plain,
( ~ sQ235_spl
| ~ sQ15_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3906,f159,f172,f1987]) ).
fof(f3928,plain,
( ~ sQ15_spl
| sQ139_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f3911,f783,f684,f172]) ).
fof(f3930,plain,
( ~ sQ35_spl
| ~ sQ15_spl
| sQ144_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f3915,f3577,f727,f172,f241]) ).
fof(f3931,plain,
( ~ sQ35_spl
| ~ sQ15_spl
| sQ126_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f3916,f3577,f568,f172,f241]) ).
fof(f3934,plain,
( ~ sQ228_spl
| ~ sQ15_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3898,f143,f172,f1903]) ).
fof(f3935,definition,
! [X0] :
( sQ306_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f3936,plain,
! [X0] :
( ~ sQ306_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f3935]) ).
fof(f3938,plain,
( ~ sQ46_spl
| ~ sQ11_spl
| sQ126_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f3860,f3935,f568,f159,f276]) ).
fof(f3939,plain,
( ~ sQ46_spl
| ~ sQ11_spl
| sQ134_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f3861,f3935,f641,f159,f276]) ).
fof(f3940,plain,
( ~ sQ11_spl
| sQ154_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f3866,f887,f838,f159]) ).
fof(f3941,plain,
( ~ sQ11_spl
| sQ139_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f3867,f887,f684,f159]) ).
fof(f3944,plain,
( ~ sQ293_spl
| ~ sQ68_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f3794,f303,f351,f3296]) ).
fof(f3945,plain,
( ~ sQ10_spl
| ~ sQ296_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f157,f3649]) ).
fof(f3946,plain,
( ~ sQ10_spl
| ~ sQ296_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f3945]) ).
fof(f3954,plain,
( ~ sQ143_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f724,f96]) ).
fof(f3962,plain,
! [X0] :
( ~ sQ74_spl
| ~ greater(e_5,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f371,f63]) ).
fof(f3963,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ74_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f371,f2370]) ).
fof(f3964,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ74_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f371,f2369]) ).
fof(f3965,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f371,f1406]) ).
fof(f3966,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f371,f1405]) ).
fof(f3974,definition,
! [X0] :
( sQ307_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f3975,plain,
! [X0] :
( ~ sQ307_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f3974]) ).
fof(f3977,plain,
( ~ sQ119_spl
| ~ sQ74_spl
| sQ134_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f3963,f3974,f641,f370,f524]) ).
fof(f3978,plain,
( ~ sQ119_spl
| ~ sQ74_spl
| sQ133_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f3964,f3974,f620,f370,f524]) ).
fof(f3979,plain,
( ~ sQ74_spl
| sQ154_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f3965,f2712,f838,f370]) ).
fof(f3980,plain,
( ~ sQ74_spl
| sQ172_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f3966,f2712,f1049,f370]) ).
fof(f3983,plain,
( ~ sQ179_spl
| ~ sQ106_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f484,f1127]) ).
fof(f3984,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ106_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f484,f944]) ).
fof(f3985,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ106_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f484,f943]) ).
fof(f3986,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ106_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f484,f1070]) ).
fof(f3987,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ106_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f484,f1069]) ).
fof(f3988,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f484,f95]) ).
fof(f3989,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f484,f93]) ).
fof(f3990,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f484,f91]) ).
fof(f3991,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f484,f102]) ).
fof(f3992,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f484,f101]) ).
fof(f3993,plain,
! [X0,X1,X2] :
( ~ sQ106_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f484,f100]) ).
fof(f3994,plain,
! [X0,X1,X2] :
( ~ sQ106_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f484,f98]) ).
fof(f3995,definition,
! [X0] :
( sQ308_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f3996,plain,
! [X0] :
( ~ sQ308_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f3995]) ).
fof(f3998,plain,
( ~ sQ6_spl
| ~ sQ106_spl
| sQ169_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f3984,f3995,f1010,f483,f143]) ).
fof(f3999,plain,
( ~ sQ6_spl
| ~ sQ106_spl
| sQ161_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f3985,f3995,f920,f483,f143]) ).
fof(f4000,plain,
( ~ sQ46_spl
| ~ sQ106_spl
| sQ127_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f3986,f2506,f572,f483,f276]) ).
fof(f4001,plain,
( ~ sQ46_spl
| ~ sQ106_spl
| sQ163_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f3987,f2506,f961,f483,f276]) ).
fof(f4002,definition,
! [X0] :
( sQ309_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f4003,plain,
! [X0] :
( ~ sQ309_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f4002]) ).
fof(f4005,plain,
( ~ sQ106_spl
| sQ133_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f3991,f4002,f620,f483]) ).
fof(f4006,plain,
( ~ sQ106_spl
| sQ166_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f3992,f4002,f979,f483]) ).
fof(f4007,plain,
( ~ sQ35_spl
| ~ sQ85_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f412,f1227]) ).
fof(f4008,plain,
( ~ sQ201_spl
| ~ sQ85_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f412,f1483]) ).
fof(f4009,plain,
( ~ sQ194_spl
| ~ sQ85_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f412,f1408]) ).
fof(f4010,plain,
( ~ sQ272_spl
| ~ sQ85_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f412,f2668]) ).
fof(f4011,plain,
( ~ sQ274_spl
| ~ sQ85_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f412,f2708]) ).
fof(f4012,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ85_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f412,f3232]) ).
fof(f4013,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ85_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f412,f3233]) ).
fof(f4014,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f412,f95]) ).
fof(f4015,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f412,f93]) ).
fof(f4016,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f412,f91]) ).
fof(f4017,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f412,f102]) ).
fof(f4018,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f412,f101]) ).
fof(f4019,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f412,f100]) ).
fof(f4020,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f412,f98]) ).
fof(f4021,plain,
( ~ sQ35_spl
| ~ sQ85_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f4007,f700,f411,f241]) ).
fof(f4022,plain,
( ~ sQ274_spl
| ~ sQ85_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f4011,f401,f411,f2707]) ).
fof(f4023,definition,
! [X0] :
( sQ310_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f4024,plain,
! [X0] :
( ~ sQ310_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f4023]) ).
fof(f4026,plain,
( ~ sQ35_spl
| ~ sQ85_spl
| sQ154_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f4012,f4023,f838,f411,f241]) ).
fof(f4027,plain,
( ~ sQ35_spl
| ~ sQ85_spl
| sQ141_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f4013,f4023,f700,f411,f241]) ).
fof(f4028,definition,
! [X0] :
( sQ311_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f4029,plain,
! [X0] :
( ~ sQ311_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f4028]) ).
fof(f4031,plain,
( ~ sQ85_spl
| sQ135_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f4017,f4028,f648,f411]) ).
fof(f4032,plain,
( ~ sQ85_spl
| sQ134_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f4018,f4028,f641,f411]) ).
fof(f4033,plain,
( ~ sQ155_spl
| ~ sQ100_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f465,f855]) ).
fof(f4034,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ100_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f465,f3232]) ).
fof(f4035,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ100_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f465,f3233]) ).
fof(f4036,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f465,f95]) ).
fof(f4037,plain,
( ~ sQ100_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f465,f110]) ).
fof(f4038,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f465,f93]) ).
fof(f4039,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f465,f91]) ).
fof(f4040,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f465,f102]) ).
fof(f4041,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f465,f101]) ).
fof(f4042,plain,
! [X0,X1,X2] :
( ~ sQ100_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f465,f100]) ).
fof(f4043,plain,
! [X0,X1,X2] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f465,f98]) ).
fof(f4044,definition,
! [X0] :
( sQ312_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f4045,plain,
! [X0] :
( ~ sQ312_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f4044]) ).
fof(f4047,plain,
( ~ sQ35_spl
| ~ sQ100_spl
| sQ129_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f4034,f4044,f592,f464,f241]) ).
fof(f4048,plain,
( ~ sQ35_spl
| ~ sQ100_spl
| sQ127_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f4035,f4044,f572,f464,f241]) ).
fof(f4049,plain,
( ~ sQ100_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f4037,f773,f464]) ).
fof(f4050,definition,
! [X0] :
( sQ313_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f4051,plain,
! [X0] :
( ~ sQ313_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f4050]) ).
fof(f4053,plain,
( ~ sQ100_spl
| sQ172_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f4040,f4050,f1049,f464]) ).
fof(f4054,plain,
( ~ sQ100_spl
| sQ148_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f4041,f4050,f773,f464]) ).
fof(f4055,plain,
( ~ sQ304_spl
| ~ sQ82_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f402,f3707]) ).
fof(f4056,plain,
( ~ sQ185_spl
| ~ sQ82_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f402,f1203]) ).
fof(f4057,plain,
( ~ sQ280_spl
| ~ sQ82_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f402,f2867]) ).
fof(f4058,plain,
( ~ sQ184_spl
| ~ sQ82_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f402,f1187]) ).
fof(f4059,plain,
( ~ sQ183_spl
| ~ sQ82_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f402,f1173]) ).
fof(f4060,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ82_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f402,f1125]) ).
fof(f4061,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ82_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f402,f1124]) ).
fof(f4062,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ82_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f402,f587]) ).
fof(f4063,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ82_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f402,f588]) ).
fof(f4064,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f402,f95]) ).
fof(f4065,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f402,f93]) ).
fof(f4066,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f402,f91]) ).
fof(f4067,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f402,f102]) ).
fof(f4068,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f402,f101]) ).
fof(f4069,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f402,f100]) ).
fof(f4070,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f402,f98]) ).
fof(f4071,plain,
( ~ sQ185_spl
| ~ sQ82_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f4056,f379,f401,f1202]) ).
fof(f4072,definition,
! [X0] :
( sQ314_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f4073,plain,
! [X0] :
( ~ sQ314_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f4072]) ).
fof(f4075,plain,
( ~ sQ42_spl
| ~ sQ82_spl
| sQ141_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f4060,f4072,f700,f401,f263]) ).
fof(f4076,plain,
( ~ sQ42_spl
| ~ sQ82_spl
| sQ166_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f4061,f4072,f979,f401,f263]) ).
fof(f4077,definition,
! [X0] :
( sQ315_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f4078,plain,
! [X0] :
( ~ sQ315_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f4077]) ).
fof(f4080,plain,
( ~ sQ22_spl
| ~ sQ82_spl
| sQ163_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f4062,f4077,f961,f401,f194]) ).
fof(f4081,plain,
( ~ sQ22_spl
| ~ sQ82_spl
| sQ137_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f4063,f4077,f662,f401,f194]) ).
fof(f4082,definition,
! [X0] :
( sQ316_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f4083,plain,
! [X0] :
( ~ sQ316_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f4082]) ).
fof(f4085,plain,
( ~ sQ82_spl
| sQ144_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f4067,f4082,f727,f401]) ).
fof(f4086,plain,
( ~ sQ82_spl
| sQ174_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f4068,f4082,f1056,f401]) ).
fof(f4087,plain,
( ~ sQ290_spl
| ~ sQ15_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f3909,f165,f172,f3113]) ).
fof(f4088,plain,
( ~ sQ212_spl
| ~ sQ111_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3391,f473,f499,f1612]) ).
fof(f4092,plain,
( ~ sQ258_spl
| ~ sQ46_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f277,f2431]) ).
fof(f4093,plain,
( ~ sQ257_spl
| ~ sQ46_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f277,f2426]) ).
fof(f4094,plain,
! [X0] :
( ~ sQ46_spl
| ~ greater(e_2,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f277,f63]) ).
fof(f4095,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ46_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f277,f944]) ).
fof(f4096,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ46_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f277,f943]) ).
fof(f4097,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)],[f277,f1070]) ).
fof(f4098,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)],[f277,f1069]) ).
fof(f4106,definition,
! [X0] :
( sQ317_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f4107,plain,
! [X0] :
( ~ sQ317_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f4106]) ).
fof(f4109,plain,
( ~ sQ6_spl
| ~ sQ46_spl
| sQ168_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f4095,f4106,f1006,f276,f143]) ).
fof(f4110,plain,
( ~ sQ6_spl
| ~ sQ46_spl
| sQ127_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f4096,f4106,f572,f276,f143]) ).
fof(f4111,plain,
( ~ sQ46_spl
| sQ161_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f4097,f2800,f920,f276]) ).
fof(f4112,plain,
( ~ sQ46_spl
| sQ172_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f4098,f2800,f1049,f276]) ).
fof(f4117,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ117_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2423,f264]) ).
fof(f4120,definition,
! [X0] :
( sQ318_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f4121,plain,
! [X0] :
( ~ sQ318_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f4120]) ).
fof(f4123,plain,
( ~ sQ42_spl
| ~ sQ117_spl
| sQ146_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f4117,f4120,f758,f518,f263]) ).
fof(f4132,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ89_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2129,f371]) ).
fof(f4134,definition,
! [X0] :
( sQ319_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f4135,plain,
! [X0] :
( ~ sQ319_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f4134]) ).
fof(f4137,plain,
( ~ sQ74_spl
| ~ sQ89_spl
| sQ130_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f4132,f4134,f596,f423,f370]) ).
fof(f4139,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ89_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2130,f371]) ).
fof(f4141,plain,
( ~ sQ74_spl
| ~ sQ89_spl
| sQ157_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f4139,f4134,f863,f423,f370]) ).
fof(f4147,plain,
( ~ sQ46_spl
| ~ sQ256_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f2409,f277]) ).
fof(f4148,plain,
( ~ sQ46_spl
| ~ sQ256_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4147,f96]) ).
fof(f4149,plain,
( ~ sQ46_spl
| ~ sQ256_spl ),
inference(contradiction_clause,[status(thm)],[f4148]) ).
fof(f4150,plain,
( ~ sQ42_spl
| ~ sQ319_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f4135,f264]) ).
fof(f4151,plain,
( ~ sQ42_spl
| ~ sQ319_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f4150,f241,f4134,f263]) ).
fof(f4152,plain,
( ~ sQ29_spl
| ~ sQ241_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f222,f3074]) ).
fof(f4153,plain,
( ~ sQ29_spl
| ~ sQ241_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f4152]) ).
fof(f4158,plain,
( ~ sQ22_spl
| ~ sQ263_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f2482,f195]) ).
fof(f4162,plain,
( ~ sQ35_spl
| ~ sQ201_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f1483,f242]) ).
fof(f4163,plain,
( ~ sQ42_spl
| ~ sQ240_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f2132,f264]) ).
fof(f4164,plain,
( ~ sQ98_spl
| ~ sQ308_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f3996,f453]) ).
fof(f4165,plain,
( ~ sQ313_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f4051,f96]) ).
fof(f4166,plain,
( ~ sQ311_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f4029,f96]) ).
fof(f4167,plain,
( ~ sQ42_spl
| ~ sQ310_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f4024,f264]) ).
fof(f4169,plain,
( ~ sQ303_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f3639,f96]) ).
fof(f4170,plain,
( ~ sQ295_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f3332,f96]) ).
fof(f4171,plain,
( ~ sQ294_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f3303,f96]) ).
fof(f4172,plain,
( ~ sQ291_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f3120,f96]) ).
fof(f4173,plain,
( ~ sQ288_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f3064,f96]) ).
fof(f4174,plain,
( ~ sQ285_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f3021,f96]) ).
fof(f4175,plain,
( ~ sQ282_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f2925,f96]) ).
fof(f4176,plain,
( ~ sQ269_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f2570,f96]) ).
fof(f4178,plain,
( ~ sQ217_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f1659,f96]) ).
fof(f4192,plain,
( ~ sQ179_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f144,f1127]) ).
fof(f4193,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ6_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f144,f3468]) ).
fof(f4194,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ6_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f144,f3469]) ).
fof(f4204,plain,
( ~ sQ71_spl
| ~ sQ6_spl
| sQ163_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f4193,f1477,f961,f143,f361]) ).
fof(f4205,plain,
( ~ sQ71_spl
| ~ sQ6_spl
| sQ129_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f4194,f1477,f592,f143,f361]) ).
fof(f4210,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ75_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f380,f3232]) ).
fof(f4211,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ75_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f380,f3233]) ).
fof(f4212,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f380,f95]) ).
fof(f4213,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f380,f93]) ).
fof(f4214,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f380,f91]) ).
fof(f4215,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f380,f102]) ).
fof(f4216,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f380,f101]) ).
fof(f4217,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f380,f100]) ).
fof(f4218,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f380,f98]) ).
fof(f4219,definition,
! [X0] :
( sQ320_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f4220,plain,
! [X0] :
( ~ sQ320_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f4219]) ).
fof(f4222,plain,
( ~ sQ35_spl
| ~ sQ75_spl
| sQ129_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f4210,f4219,f592,f379,f241]) ).
fof(f4223,plain,
( ~ sQ35_spl
| ~ sQ75_spl
| sQ141_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f4211,f4219,f700,f379,f241]) ).
fof(f4224,definition,
! [X0] :
( sQ321_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f4225,plain,
! [X0] :
( ~ sQ321_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f4224]) ).
fof(f4227,plain,
( ~ sQ75_spl
| sQ135_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f4215,f4224,f648,f379]) ).
fof(f4228,plain,
( ~ sQ75_spl
| sQ148_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f4216,f4224,f773,f379]) ).
fof(f4231,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f304,f95]) ).
fof(f4232,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f304,f93]) ).
fof(f4233,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f304,f91]) ).
fof(f4234,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f304,f102]) ).
fof(f4235,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f304,f101]) ).
fof(f4236,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f304,f100]) ).
fof(f4237,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f304,f98]) ).
fof(f4240,definition,
! [X0] :
( sQ322_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f4241,plain,
! [X0] :
( ~ sQ322_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f4240]) ).
fof(f4243,plain,
( ~ sQ53_spl
| sQ152_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f4234,f4240,f817,f303]) ).
fof(f4244,plain,
( ~ sQ53_spl
| sQ126_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f4235,f4240,f568,f303]) ).
fof(f4246,plain,
( ~ sQ22_spl
| ~ sQ300_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f3624,f195]) ).
fof(f4247,plain,
( ~ sQ173_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f1054,f96]) ).
fof(f4248,plain,
( ~ sQ125_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f566,f96]) ).
fof(f4252,plain,
( ~ sQ98_spl
| ~ sQ265_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f2512,f453]) ).
fof(f4255,plain,
( ~ sQ35_spl
| ~ sQ200_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f1478,f242]) ).
fof(f4256,plain,
( ~ sQ22_spl
| ~ sQ262_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f2477,f195]) ).
fof(f4258,plain,
( ~ sQ321_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f4225,f96]) ).
fof(f4259,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ113_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2469,f304]) ).
fof(f4262,definition,
! [X0] :
( sQ323_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f4263,plain,
! [X0] :
( ~ sQ323_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f4262]) ).
fof(f4265,plain,
( ~ sQ53_spl
| ~ sQ113_spl
| sQ129_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f4259,f4262,f592,f505,f303]) ).
fof(f4268,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ113_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2470,f304]) ).
fof(f4271,plain,
( ~ sQ53_spl
| ~ sQ113_spl
| sQ134_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f4268,f4262,f641,f505,f303]) ).
fof(f4278,plain,
( ~ sQ22_spl
| ~ sQ323_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f4263,f195]) ).
fof(f4279,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ75_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f4217,f242]) ).
fof(f4280,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f4217,f380]) ).
fof(f4281,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f4217,f96]) ).
fof(f4282,plain,
( ~ sQ35_spl
| ~ sQ75_spl
| sQ136_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f4279,f4219,f655,f379,f241]) ).
fof(f4283,definition,
! [X0] :
( sQ324_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f4284,plain,
! [X0] :
( ~ sQ324_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f4283]) ).
fof(f4286,plain,
( ~ sQ75_spl
| sQ139_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f4280,f4283,f684,f379]) ).
fof(f4287,plain,
( ~ sQ75_spl
| sQ169_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f4281,f4224,f1010,f379]) ).
fof(f4288,plain,
! [X0] :
( ~ sQ324_spl
| ~ product(X0,e_2,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f4284]) ).
fof(f4289,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4236,f304]) ).
fof(f4291,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4236,f96]) ).
fof(f4292,definition,
! [X0] :
( sQ325_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f4293,plain,
! [X0] :
( ~ sQ325_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f4292]) ).
fof(f4295,plain,
( ~ sQ53_spl
| sQ139_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f4289,f4292,f684,f303]) ).
fof(f4297,plain,
( ~ sQ53_spl
| sQ168_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f4291,f4240,f1006,f303]) ).
fof(f4298,plain,
! [X0] :
( ~ sQ325_spl
| ~ product(X0,e_3,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f4293]) ).
fof(f4299,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f847,f144]) ).
fof(f4300,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f4299,f1056,f159,f143]) ).
fof(f4301,plain,
( ~ sQ119_spl
| ~ sQ324_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f525,f4288]) ).
fof(f4302,plain,
( ~ sQ119_spl
| ~ sQ324_spl ),
inference(contradiction_clause,[status(thm)],[f4301]) ).
fof(f4303,plain,
( ~ sQ109_spl
| ~ sQ305_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f493,f3733]) ).
fof(f4304,plain,
( ~ sQ109_spl
| ~ sQ305_spl ),
inference(contradiction_clause,[status(thm)],[f4303]) ).
fof(f4305,plain,
( ~ sQ101_spl
| ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f468,f788]) ).
fof(f4306,plain,
( ~ sQ101_spl
| ~ sQ149_spl ),
inference(contradiction_clause,[status(thm)],[f4305]) ).
fof(f4309,plain,
( ~ sQ22_spl
| ~ sQ323_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f4263,f195]) ).
fof(f4313,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ10_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f876,f242]) ).
fof(f4315,definition,
! [X0] :
( sQ326_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f4316,plain,
! [X0] :
( ~ sQ326_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f4315]) ).
fof(f4318,plain,
( ~ sQ35_spl
| ~ sQ10_spl
| sQ154_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f4313,f4315,f838,f156,f241]) ).
fof(f4329,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ82_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f4069,f195]) ).
fof(f4330,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f4069,f96]) ).
fof(f4332,plain,
( ~ sQ22_spl
| ~ sQ82_spl
| sQ127_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f4329,f4077,f572,f401,f194]) ).
fof(f4333,plain,
( ~ sQ82_spl
| sQ152_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f4330,f4082,f817,f401]) ).
fof(f4335,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ82_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f4070,f195]) ).
fof(f4336,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f4070,f96]) ).
fof(f4338,plain,
( ~ sQ22_spl
| ~ sQ82_spl
| sQ132_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f4335,f4077,f616,f401,f194]) ).
fof(f4339,plain,
( ~ sQ82_spl
| sQ157_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f4336,f4082,f863,f401]) ).
fof(f4344,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4237,f304]) ).
fof(f4346,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4237,f96]) ).
fof(f4347,plain,
( ~ sQ53_spl
| sQ154_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f4344,f4292,f838,f303]) ).
fof(f4349,plain,
( ~ sQ53_spl
| sQ174_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f4346,f4240,f1056,f303]) ).
fof(f4356,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ65_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1637,f242]) ).
fof(f4358,plain,
( ~ sQ35_spl
| ~ sQ65_spl
| sQ174_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f4356,f1799,f1056,f342,f241]) ).
fof(f4360,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ65_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1636,f242]) ).
fof(f4362,plain,
( ~ sQ35_spl
| ~ sQ65_spl
| sQ157_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f4360,f1799,f863,f342,f241]) ).
fof(f4364,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ18_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f695,f304]) ).
fof(f4367,definition,
! [X0] :
( sQ327_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f4368,plain,
! [X0] :
( ~ sQ327_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f4367]) ).
fof(f4370,plain,
( ~ sQ53_spl
| ~ sQ18_spl
| sQ136_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f4364,f4367,f655,f181,f303]) ).
fof(f4373,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ18_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f694,f304]) ).
fof(f4376,plain,
( ~ sQ53_spl
| ~ sQ18_spl
| sQ132_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f4373,f4367,f616,f181,f303]) ).
fof(f4382,plain,
( ~ sQ35_spl
| ~ sQ10_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f871,f242]) ).
fof(f4383,plain,
( ~ sQ35_spl
| ~ sQ10_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f4382,f1006,f156,f241]) ).
fof(f4384,plain,
( ~ sQ240_spl
| ~ sQ117_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f2414,f480,f518,f2131]) ).
fof(f4385,plain,
( ~ sQ311_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f4166,f518,f4028]) ).
fof(f4386,definition,
! [X0] :
( sQ328_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f4387,plain,
! [X0] :
( ~ sQ328_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f4386]) ).
fof(f4389,plain,
( ~ sQ51_spl
| ~ sQ11_spl
| sQ129_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f3864,f4386,f592,f159,f297]) ).
fof(f4390,plain,
( ~ sQ51_spl
| ~ sQ11_spl
| sQ136_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f3865,f4386,f655,f159,f297]) ).
fof(f4391,plain,
( ~ sQ51_spl
| ~ sQ65_spl
| ~ sQ225_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f298,f1888]) ).
fof(f4392,plain,
( ~ sQ51_spl
| ~ sQ65_spl
| ~ sQ225_spl ),
inference(contradiction_clause,[status(thm)],[f4391]) ).
fof(f4393,plain,
( ~ sQ280_spl
| ~ sQ82_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f4057,f388,f401,f2866]) ).
fof(f4397,plain,
( ~ sQ314_spl
| ~ sQ18_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f182,f4073]) ).
fof(f4398,plain,
( ~ sQ315_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f182,f4078]) ).
fof(f4399,plain,
( ~ sQ316_spl
| ~ sQ18_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f182,f4083]) ).
fof(f4455,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ53_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4237,f182]) ).
fof(f4458,plain,
( ~ sQ18_spl
| ~ sQ53_spl
| sQ129_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f4455,f4367,f592,f303,f181]) ).
fof(f4461,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ53_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4236,f182]) ).
fof(f4464,plain,
( ~ sQ18_spl
| ~ sQ53_spl
| sQ137_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f4461,f4367,f662,f303,f181]) ).
fof(f4470,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ75_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f4218,f242]) ).
fof(f4471,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f4218,f96]) ).
fof(f4472,plain,
( ~ sQ35_spl
| ~ sQ75_spl
| sQ166_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f4470,f4219,f979,f379,f241]) ).
fof(f4473,plain,
( ~ sQ75_spl
| sQ133_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f4471,f4224,f620,f379]) ).
fof(f4478,plain,
( ~ sQ42_spl
| ~ sQ117_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2418,f264]) ).
fof(f4479,plain,
( ~ sQ42_spl
| ~ sQ117_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f4478,f961,f518,f263]) ).
fof(f4483,plain,
( ~ sQ286_spl
| ~ sQ65_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f343,f3053]) ).
fof(f4487,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ65_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f343,f4217]) ).
fof(f4488,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ65_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f343,f4218]) ).
fof(f4489,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ65_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f343,f954]) ).
fof(f4490,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ65_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f343,f953]) ).
fof(f4493,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ65_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f343,f3232]) ).
fof(f4502,definition,
! [X0] :
( sQ329_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f4503,plain,
! [X0] :
( ~ sQ329_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f4502]) ).
fof(f4505,plain,
( ~ sQ75_spl
| ~ sQ65_spl
| sQ137_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f4487,f4502,f662,f342,f379]) ).
fof(f4506,plain,
( ~ sQ75_spl
| ~ sQ65_spl
| sQ157_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f4488,f4502,f863,f342,f379]) ).
fof(f4507,plain,
( ~ sQ5_spl
| ~ sQ65_spl
| sQ136_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f4489,f1612,f655,f342,f140]) ).
fof(f4508,plain,
( ~ sQ5_spl
| ~ sQ65_spl
| sQ141_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f4490,f1612,f700,f342,f140]) ).
fof(f4511,plain,
( ~ sQ35_spl
| ~ sQ65_spl
| sQ144_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f4493,f1799,f727,f342,f241]) ).
fof(f4516,plain,
( ~ sQ74_spl
| ~ sQ59_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f323,f1401]) ).
fof(f4519,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ59_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f323,f1406]) ).
fof(f4520,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ59_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f323,f1405]) ).
fof(f4521,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f323,f1733]) ).
fof(f4522,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f323,f1734]) ).
fof(f4530,plain,
( ~ sQ74_spl
| ~ sQ59_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f4516,f961,f322,f370]) ).
fof(f4531,definition,
! [X0] :
( sQ330_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f4532,plain,
! [X0] :
( ~ sQ330_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f4531]) ).
fof(f4534,plain,
( ~ sQ74_spl
| ~ sQ59_spl
| sQ154_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f4519,f4531,f838,f322,f370]) ).
fof(f4535,plain,
( ~ sQ74_spl
| ~ sQ59_spl
| sQ163_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f4520,f4531,f961,f322,f370]) ).
fof(f4536,definition,
! [X0] :
( sQ331_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f4537,plain,
! [X0] :
( ~ sQ331_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f4536]) ).
fof(f4539,plain,
( ~ sQ59_spl
| sQ161_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f4521,f4536,f920,f322]) ).
fof(f4540,plain,
( ~ sQ59_spl
| sQ154_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f4522,f4536,f838,f322]) ).
fof(f4543,plain,
( ~ sQ82_spl
| ~ sQ87_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f418,f4065]) ).
fof(f4544,plain,
( ~ sQ180_spl
| ~ sQ87_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f418,f1132]) ).
fof(f4545,plain,
( ~ sQ128_spl
| ~ sQ87_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f418,f590]) ).
fof(f4546,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ87_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f418,f4070]) ).
fof(f4547,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ87_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f418,f4069]) ).
fof(f4548,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ87_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f418,f1125]) ).
fof(f4549,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ87_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f418,f1124]) ).
fof(f4550,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ87_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f418,f587]) ).
fof(f4551,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ87_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f418,f588]) ).
fof(f4552,plain,
( ~ sQ87_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f418,f112]) ).
fof(f4553,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f418,f95]) ).
fof(f4554,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f418,f93]) ).
fof(f4555,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f418,f91]) ).
fof(f4556,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f418,f102]) ).
fof(f4557,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f418,f101]) ).
fof(f4558,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f418,f100]) ).
fof(f4559,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f418,f98]) ).
fof(f4560,plain,
( ~ sQ82_spl
| ~ sQ87_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f4543,f817,f417,f401]) ).
fof(f4561,plain,
( ~ sQ128_spl
| ~ sQ87_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f4545,f379,f417,f589]) ).
fof(f4562,definition,
! [X0] :
( sQ332_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f4563,plain,
! [X0] :
( ~ sQ332_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f4562]) ).
fof(f4565,plain,
( ~ sQ82_spl
| ~ sQ87_spl
| sQ146_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f4546,f4562,f758,f417,f401]) ).
fof(f4566,plain,
( ~ sQ82_spl
| ~ sQ87_spl
| sQ152_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f4547,f4562,f817,f417,f401]) ).
fof(f4567,definition,
! [X0] :
( sQ333_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f4568,plain,
! [X0] :
( ~ sQ333_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f4567]) ).
fof(f4570,plain,
( ~ sQ42_spl
| ~ sQ87_spl
| sQ141_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f4548,f4567,f700,f417,f263]) ).
fof(f4571,plain,
( ~ sQ42_spl
| ~ sQ87_spl
| sQ157_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f4549,f4567,f863,f417,f263]) ).
fof(f4572,definition,
! [X0] :
( sQ334_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f4573,plain,
! [X0] :
( ~ sQ334_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f4572]) ).
fof(f4575,plain,
( ~ sQ22_spl
| ~ sQ87_spl
| sQ134_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f4550,f4572,f641,f417,f194]) ).
fof(f4576,plain,
( ~ sQ22_spl
| ~ sQ87_spl
| sQ137_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f4551,f4572,f662,f417,f194]) ).
fof(f4577,plain,
( ~ sQ87_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f4552,f727,f417]) ).
fof(f4578,definition,
! [X0] :
( sQ335_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f4579,plain,
! [X0] :
( ~ sQ335_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f4578]) ).
fof(f4581,plain,
( ~ sQ87_spl
| sQ144_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f4556,f4578,f727,f417]) ).
fof(f4582,plain,
( ~ sQ87_spl
| sQ154_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f4557,f4578,f838,f417]) ).
fof(f4583,plain,
( ~ sQ22_spl
| ~ sQ298_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f3419,f195]) ).
fof(f4589,plain,
( ~ sQ42_spl
| ~ sQ240_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f2132,f264]) ).
fof(f4590,plain,
( ~ sQ42_spl
| ~ sQ319_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f4135,f264]) ).
fof(f4616,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3703,f96]) ).
fof(f4617,plain,
( ~ sQ25_spl
| sQ169_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f4616,f3711,f1010,f209]) ).
fof(f4618,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3704,f96]) ).
fof(f4619,plain,
( ~ sQ25_spl
| sQ127_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f4618,f3711,f572,f209]) ).
fof(f4625,plain,
( ~ sQ69_spl
| ~ sQ74_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f371,f1525]) ).
fof(f4627,plain,
( ~ sQ49_spl
| ~ sQ74_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f371,f996]) ).
fof(f4629,plain,
! [X0] :
( ~ sQ74_spl
| ~ greater(e_5,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f371,f63]) ).
fof(f4630,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ74_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f371,f1530]) ).
fof(f4631,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ74_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f371,f1529]) ).
fof(f4635,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ74_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f371,f1002]) ).
fof(f4645,plain,
( ~ sQ69_spl
| ~ sQ74_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f4625,f620,f370,f354]) ).
fof(f4646,plain,
( ~ sQ49_spl
| ~ sQ74_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f4627,f817,f370,f285]) ).
fof(f4647,plain,
( ~ sQ69_spl
| ~ sQ74_spl
| sQ154_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f4630,f1546,f838,f370,f354]) ).
fof(f4648,plain,
( ~ sQ69_spl
| ~ sQ74_spl
| sQ133_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f4631,f1546,f620,f370,f354]) ).
fof(f4652,plain,
( ~ sQ49_spl
| ~ sQ74_spl
| sQ152_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f4635,f1482,f817,f370,f285]) ).
fof(f4683,plain,
( ~ sQ25_spl
| ~ sQ75_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f380,f3698]) ).
fof(f4685,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ75_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f380,f3704]) ).
fof(f4686,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ75_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f380,f3703]) ).
fof(f4687,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ75_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f380,f877]) ).
fof(f4688,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ75_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f380,f876]) ).
fof(f4690,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f380,f4218]) ).
fof(f4698,plain,
( ~ sQ25_spl
| ~ sQ75_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f4683,f700,f379,f209]) ).
fof(f4699,definition,
! [X0] :
( sQ336_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f4700,plain,
! [X0] :
( ~ sQ336_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f4699]) ).
fof(f4702,plain,
( ~ sQ25_spl
| ~ sQ75_spl
| sQ141_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f4685,f4699,f700,f379,f209]) ).
fof(f4703,plain,
( ~ sQ25_spl
| ~ sQ75_spl
| sQ139_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f4686,f4699,f684,f379,f209]) ).
fof(f4704,plain,
( ~ sQ10_spl
| ~ sQ75_spl
| sQ137_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f4687,f3632,f662,f379,f156]) ).
fof(f4705,plain,
( ~ sQ10_spl
| ~ sQ75_spl
| sQ129_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f4688,f3632,f592,f379,f156]) ).
fof(f4707,plain,
( ~ sQ75_spl
| sQ146_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f4690,f4283,f758,f379]) ).
fof(f4710,plain,
( ~ sQ167_spl
| ~ sQ105_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f481,f1004]) ).
fof(f4711,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ105_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f481,f3704]) ).
fof(f4712,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ105_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f481,f3703]) ).
fof(f4713,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ105_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f481,f877]) ).
fof(f4714,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ105_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f481,f876]) ).
fof(f4715,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f481,f95]) ).
fof(f4716,plain,
( ~ sQ105_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f481,f110]) ).
fof(f4717,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f481,f93]) ).
fof(f4718,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f481,f91]) ).
fof(f4719,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f481,f102]) ).
fof(f4720,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f481,f101]) ).
fof(f4721,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f481,f100]) ).
fof(f4722,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f481,f98]) ).
fof(f4723,definition,
! [X0] :
( sQ337_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f4724,plain,
! [X0] :
( ~ sQ337_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f4723]) ).
fof(f4726,plain,
( ~ sQ25_spl
| ~ sQ105_spl
| sQ127_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f4711,f4723,f572,f480,f209]) ).
fof(f4727,plain,
( ~ sQ25_spl
| ~ sQ105_spl
| sQ168_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f4712,f4723,f1006,f480,f209]) ).
fof(f4728,definition,
! [X0] :
( sQ338_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f4729,plain,
! [X0] :
( ~ sQ338_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f4728]) ).
fof(f4731,plain,
( ~ sQ10_spl
| ~ sQ105_spl
| sQ169_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f4713,f4728,f1010,f480,f156]) ).
fof(f4732,plain,
( ~ sQ10_spl
| ~ sQ105_spl
| sQ174_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f4714,f4728,f1056,f480,f156]) ).
fof(f4733,plain,
( ~ sQ105_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f4716,f961,f480]) ).
fof(f4734,definition,
! [X0] :
( sQ339_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f4735,plain,
! [X0] :
( ~ sQ339_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f4734]) ).
fof(f4737,plain,
( ~ sQ105_spl
| sQ172_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f4719,f4734,f1049,f480]) ).
fof(f4738,plain,
( ~ sQ105_spl
| sQ163_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f4720,f4734,f961,f480]) ).
fof(f4739,plain,
( ~ sQ187_spl
| ~ sQ116_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f516,f1223]) ).
fof(f4740,plain,
( ~ sQ165_spl
| ~ sQ116_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f516,f976]) ).
fof(f4741,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ116_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f516,f1219]) ).
fof(f4742,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ116_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f516,f1220]) ).
fof(f4743,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ116_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f516,f944]) ).
fof(f4744,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ116_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f516,f943]) ).
fof(f4745,plain,
( ~ sQ116_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f516,f112]) ).
fof(f4746,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f516,f95]) ).
fof(f4747,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f516,f93]) ).
fof(f4748,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f516,f91]) ).
fof(f4749,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f516,f102]) ).
fof(f4750,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f516,f101]) ).
fof(f4751,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f516,f100]) ).
fof(f4752,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f516,f98]) ).
fof(f4753,plain,
( ~ sQ187_spl
| ~ sQ116_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f4739,f486,f515,f1222]) ).
fof(f4754,plain,
( ~ sQ165_spl
| ~ sQ116_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f4740,f473,f515,f975]) ).
fof(f4755,definition,
! [X0] :
( sQ340_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f4756,plain,
! [X0] :
( ~ sQ340_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f4755]) ).
fof(f4758,plain,
( ~ sQ36_spl
| ~ sQ116_spl
| sQ144_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f4741,f4755,f727,f515,f244]) ).
fof(f4759,plain,
( ~ sQ36_spl
| ~ sQ116_spl
| sQ127_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f4742,f4755,f572,f515,f244]) ).
fof(f4760,definition,
! [X0] :
( sQ341_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f4761,plain,
! [X0] :
( ~ sQ341_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f4760]) ).
fof(f4763,plain,
( ~ sQ6_spl
| ~ sQ116_spl
| sQ169_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f4743,f4760,f1010,f515,f143]) ).
fof(f4764,plain,
( ~ sQ6_spl
| ~ sQ116_spl
| sQ141_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f4744,f4760,f700,f515,f143]) ).
fof(f4765,plain,
( ~ sQ116_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f4745,f620,f515]) ).
fof(f4766,definition,
! [X0] :
( sQ342_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f4767,plain,
! [X0] :
( ~ sQ342_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f4766]) ).
fof(f4769,plain,
( ~ sQ116_spl
| sQ133_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f4749,f4766,f620,f515]) ).
fof(f4770,plain,
( ~ sQ116_spl
| sQ146_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f4750,f4766,f758,f515]) ).
fof(f4771,plain,
( ~ sQ22_spl
| ~ sQ263_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f2482,f195]) ).
fof(f4772,plain,
( ~ sQ22_spl
| ~ sQ323_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f4263,f195]) ).
fof(f4774,plain,
( ~ sQ22_spl
| ~ sQ261_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f2472,f195]) ).
fof(f4775,plain,
( ~ sQ22_spl
| ~ sQ262_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f2477,f195]) ).
fof(f4807,plain,
( ~ sQ179_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f144,f1127]) ).
fof(f4837,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ49_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f286,f1530]) ).
fof(f4838,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ49_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f286,f1529]) ).
fof(f4854,plain,
( ~ sQ69_spl
| ~ sQ49_spl
| sQ174_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f4837,f1617,f1056,f285,f354]) ).
fof(f4855,plain,
( ~ sQ69_spl
| ~ sQ49_spl
| sQ133_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f4838,f1617,f620,f285,f354]) ).
fof(f4864,plain,
( ~ sQ274_spl
| ~ sQ10_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f157,f2708]) ).
fof(f4865,plain,
( ~ sQ200_spl
| ~ sQ10_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f157,f1478]) ).
fof(f4867,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ10_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f157,f3704]) ).
fof(f4868,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ10_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f157,f3703]) ).
fof(f4869,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f157,f877]) ).
fof(f4878,definition,
! [X0] :
( sQ343_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f4879,plain,
! [X0] :
( ~ sQ343_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f4878]) ).
fof(f4881,plain,
( ~ sQ25_spl
| ~ sQ10_spl
| sQ126_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f4867,f4878,f568,f156,f209]) ).
fof(f4882,plain,
( ~ sQ25_spl
| ~ sQ10_spl
| sQ136_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f4868,f4878,f655,f156,f209]) ).
fof(f4883,plain,
( ~ sQ10_spl
| sQ139_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f4869,f887,f684,f156]) ).
fof(f4889,plain,
( ~ sQ213_spl
| ~ sQ36_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f245,f1618]) ).
fof(f4891,plain,
( ~ sQ205_spl
| ~ sQ36_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f245,f1532]) ).
fof(f4892,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ36_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f245,f3468]) ).
fof(f4893,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ36_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f245,f3469]) ).
fof(f4894,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f245,f1219]) ).
fof(f4895,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f245,f1220]) ).
fof(f4896,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ36_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f245,f944]) ).
fof(f4897,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ36_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f245,f943]) ).
fof(f4905,plain,
( ~ sQ71_spl
| ~ sQ36_spl
| sQ134_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f4892,f2707,f641,f244,f361]) ).
fof(f4906,plain,
( ~ sQ71_spl
| ~ sQ36_spl
| sQ174_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f4893,f2707,f1056,f244,f361]) ).
fof(f4907,plain,
( ~ sQ36_spl
| sQ154_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f4894,f1292,f838,f244]) ).
fof(f4908,plain,
( ~ sQ36_spl
| sQ161_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f4895,f1292,f920,f244]) ).
fof(f4909,plain,
( ~ sQ6_spl
| ~ sQ36_spl
| sQ168_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f4896,f2866,f1006,f244,f143]) ).
fof(f4910,plain,
( ~ sQ6_spl
| ~ sQ36_spl
| sQ152_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f4897,f2866,f817,f244,f143]) ).
fof(f4916,plain,
( ~ sQ327_spl
| ~ sQ89_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f424,f4368]) ).
fof(f4918,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ89_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f424,f1733]) ).
fof(f4919,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ89_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f424,f1734]) ).
fof(f4920,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ89_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f424,f2370]) ).
fof(f4921,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ89_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f424,f2369]) ).
fof(f4922,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ89_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f424,f1530]) ).
fof(f4923,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ89_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f424,f1529]) ).
fof(f4924,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f424,f2130]) ).
fof(f4925,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f424,f2129]) ).
fof(f4935,definition,
! [X0] :
( sQ344_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f4936,plain,
! [X0] :
( ~ sQ344_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f4935]) ).
fof(f4938,plain,
( ~ sQ59_spl
| ~ sQ89_spl
| sQ152_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f4918,f4935,f817,f423,f322]) ).
fof(f4939,plain,
( ~ sQ59_spl
| ~ sQ89_spl
| sQ144_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f4919,f4935,f727,f423,f322]) ).
fof(f4940,definition,
! [X0] :
( sQ345_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f4941,plain,
! [X0] :
( ~ sQ345_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f4940]) ).
fof(f4943,plain,
( ~ sQ119_spl
| ~ sQ89_spl
| sQ135_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f4920,f4940,f648,f423,f524]) ).
fof(f4944,plain,
( ~ sQ119_spl
| ~ sQ89_spl
| sQ157_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f4921,f4940,f863,f423,f524]) ).
fof(f4945,plain,
( ~ sQ69_spl
| ~ sQ89_spl
| sQ144_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f4922,f2155,f727,f423,f354]) ).
fof(f4946,plain,
( ~ sQ69_spl
| ~ sQ89_spl
| sQ157_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f4923,f2155,f863,f423,f354]) ).
fof(f4947,definition,
! [X0] :
( sQ346_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f4948,plain,
! [X0] :
( ~ sQ346_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f4947]) ).
fof(f4950,plain,
( ~ sQ89_spl
| sQ146_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f4924,f4947,f758,f423]) ).
fof(f4951,plain,
( ~ sQ89_spl
| sQ154_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f4925,f4947,f838,f423]) ).
fof(f4956,plain,
( ~ sQ10_spl
| ~ sQ194_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f1408,f157]) ).
fof(f4957,plain,
( ~ sQ10_spl
| ~ sQ194_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4956,f96]) ).
fof(f4958,plain,
( ~ sQ10_spl
| ~ sQ194_spl ),
inference(contradiction_clause,[status(thm)],[f4957]) ).
fof(f4959,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ65_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1637,f157]) ).
fof(f4961,plain,
( ~ sQ10_spl
| ~ sQ65_spl
| sQ129_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f4959,f1607,f592,f342,f156]) ).
fof(f4963,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ65_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1636,f157]) ).
fof(f4965,plain,
( ~ sQ10_spl
| ~ sQ65_spl
| sQ157_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f4963,f1607,f863,f342,f156]) ).
fof(f4972,plain,
( ~ sQ42_spl
| ~ sQ344_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f4936,f264]) ).
fof(f4973,plain,
( ~ sQ42_spl
| ~ sQ240_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f2132,f264]) ).
fof(f4975,plain,
( ~ sQ202_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f1488,f96]) ).
fof(f4996,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ39_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1170,f424]) ).
fof(f4998,plain,
( ~ sQ89_spl
| ~ sQ39_spl
| sQ154_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f4996,f4023,f838,f253,f423]) ).
fof(f5004,plain,
( ~ sQ42_spl
| ~ sQ310_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f4024,f264]) ).
fof(f5005,plain,
( ~ sQ89_spl
| ~ sQ39_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1165,f424]) ).
fof(f5006,plain,
( ~ sQ89_spl
| ~ sQ39_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f5005,f700,f253,f423]) ).
fof(f5007,plain,
( ~ sQ18_spl
| ~ sQ315_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f4078,f182]) ).
fof(f5008,plain,
( ~ sQ18_spl
| ~ sQ316_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f4083,f182]) ).
fof(f5026,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ74_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1405,f424]) ).
fof(f5028,plain,
( ~ sQ89_spl
| ~ sQ74_spl
| sQ134_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f5026,f4134,f641,f370,f423]) ).
fof(f5030,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ74_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1406,f424]) ).
fof(f5032,plain,
( ~ sQ89_spl
| ~ sQ74_spl
| sQ144_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f5030,f4134,f727,f370,f423]) ).
fof(f5042,plain,
( ~ sQ225_spl
| ~ sQ65_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f343,f1872]) ).
fof(f5043,plain,
( ~ sQ286_spl
| ~ sQ65_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f343,f3053]) ).
fof(f5095,plain,
( ~ sQ98_spl
| ~ sQ265_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f2512,f453]) ).
fof(f5120,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ109_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2504,f424]) ).
fof(f5122,definition,
! [X0] :
( sQ347_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f5123,plain,
! [X0] :
( ~ sQ347_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f5122]) ).
fof(f5125,plain,
( ~ sQ89_spl
| ~ sQ109_spl
| sQ152_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f5120,f5122,f817,f492,f423]) ).
fof(f5127,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ109_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2505,f424]) ).
fof(f5129,plain,
( ~ sQ89_spl
| ~ sQ109_spl
| sQ135_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f5127,f5122,f648,f492,f423]) ).
fof(f5131,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ44_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1096,f424]) ).
fof(f5132,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1096,f96]) ).
fof(f5133,plain,
( ~ sQ89_spl
| ~ sQ44_spl
| sQ157_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f5131,f4567,f863,f269,f423]) ).
fof(f5134,plain,
( ~ sQ44_spl
| sQ132_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f5132,f1098,f616,f269]) ).
fof(f5135,plain,
( ~ sQ98_spl
| ~ sQ347_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f5123,f453]) ).
fof(f5136,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ44_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1097,f424]) ).
fof(f5137,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1097,f96]) ).
fof(f5138,plain,
( ~ sQ89_spl
| ~ sQ44_spl
| sQ141_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f5136,f4567,f700,f269,f423]) ).
fof(f5139,plain,
( ~ sQ44_spl
| sQ126_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f5137,f1098,f568,f269]) ).
fof(f5143,plain,
( ~ sQ223_spl
| ~ sQ11_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f160,f1800]) ).
fof(f5164,plain,
( ~ sQ258_spl
| ~ sQ46_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f277,f2431]) ).
fof(f5167,plain,
! [X0] :
( ~ sQ46_spl
| ~ greater(e_2,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f277,f63]) ).
fof(f5170,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ46_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f277,f3873]) ).
fof(f5171,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ46_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f277,f3874]) ).
fof(f5181,plain,
( ~ sQ11_spl
| ~ sQ46_spl
| sQ130_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f5170,f3935,f596,f276,f159]) ).
fof(f5182,plain,
( ~ sQ11_spl
| ~ sQ46_spl
| sQ168_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f5171,f3935,f1006,f276,f159]) ).
fof(f5188,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ75_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f380,f954]) ).
fof(f5189,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ75_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f380,f953]) ).
fof(f5194,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ75_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f380,f1636]) ).
fof(f5195,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ75_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f380,f1637]) ).
fof(f5203,definition,
! [X0] :
( sQ348_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f5204,plain,
! [X0] :
( ~ sQ348_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f5203]) ).
fof(f5206,plain,
( ~ sQ5_spl
| ~ sQ75_spl
| sQ137_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f5188,f5203,f662,f379,f140]) ).
fof(f5207,plain,
( ~ sQ5_spl
| ~ sQ75_spl
| sQ126_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f5189,f5203,f568,f379,f140]) ).
fof(f5212,plain,
( ~ sQ65_spl
| ~ sQ75_spl
| sQ132_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f5194,f4502,f616,f379,f342]) ).
fof(f5213,plain,
( ~ sQ65_spl
| ~ sQ75_spl
| sQ144_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f5195,f4502,f727,f379,f342]) ).
fof(f5219,plain,
! [X0] :
( ~ sQ74_spl
| ~ greater(e_5,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f371,f63]) ).
fof(f5220,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ74_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f371,f1097]) ).
fof(f5221,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ74_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f371,f1096]) ).
fof(f5222,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ74_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f371,f2505]) ).
fof(f5223,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ74_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f371,f2504]) ).
fof(f5235,plain,
( ~ sQ44_spl
| ~ sQ74_spl
| sQ152_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f5220,f1445,f817,f370,f269]) ).
fof(f5236,plain,
( ~ sQ44_spl
| ~ sQ74_spl
| sQ133_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f5221,f1445,f620,f370,f269]) ).
fof(f5237,definition,
! [X0] :
( sQ349_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f5238,plain,
! [X0] :
( ~ sQ349_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f5237]) ).
fof(f5240,plain,
( ~ sQ109_spl
| ~ sQ74_spl
| sQ134_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f5222,f5237,f641,f370,f492]) ).
fof(f5241,plain,
( ~ sQ109_spl
| ~ sQ74_spl
| sQ127_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f5223,f5237,f572,f370,f492]) ).
fof(f5248,plain,
( ~ sQ35_spl
| ~ sQ197_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f1446,f242]) ).
fof(f5252,plain,
( ~ sQ280_spl
| ~ sQ82_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f402,f2867]) ).
fof(f5253,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ82_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f402,f2424]) ).
fof(f5254,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ82_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f402,f2423]) ).
fof(f5255,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f402,f4070]) ).
fof(f5256,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f402,f4069]) ).
fof(f5266,definition,
! [X0] :
( sQ350_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f5267,plain,
! [X0] :
( ~ sQ350_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f5266]) ).
fof(f5269,plain,
( ~ sQ117_spl
| ~ sQ82_spl
| sQ135_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f5253,f5266,f648,f401,f518]) ).
fof(f5270,plain,
( ~ sQ117_spl
| ~ sQ82_spl
| sQ166_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f5254,f5266,f979,f401,f518]) ).
fof(f5271,definition,
! [X0] :
( sQ351_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f5272,plain,
! [X0] :
( ~ sQ351_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f5271]) ).
fof(f5274,plain,
( ~ sQ82_spl
| sQ146_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f5255,f5271,f758,f401]) ).
fof(f5275,plain,
( ~ sQ82_spl
| sQ161_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f5256,f5271,f920,f401]) ).
fof(f5280,plain,
( ~ sQ119_spl
| ~ sQ321_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f525,f4258]) ).
fof(f5281,plain,
( ~ sQ119_spl
| ~ sQ321_spl ),
inference(contradiction_clause,[status(thm)],[f5280]) ).
fof(f5294,plain,
( ~ sQ46_spl
| ~ sQ258_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f2431,f277]) ).
fof(f5295,plain,
( ~ sQ46_spl
| ~ sQ350_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f5267,f277]) ).
fof(f5300,plain,
( ~ sQ306_spl
| ~ sQ5_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f141,f3936]) ).
fof(f5301,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f141,f954]) ).
fof(f5303,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ5_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f141,f4217]) ).
fof(f5304,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ5_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f141,f4218]) ).
fof(f5305,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ5_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f141,f3232]) ).
fof(f5306,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ5_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f141,f3233]) ).
fof(f5307,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ5_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f141,f1636]) ).
fof(f5308,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ5_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f141,f1637]) ).
fof(f5316,plain,
( ~ sQ5_spl
| sQ139_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f5301,f969,f684,f140]) ).
fof(f5318,plain,
( ~ sQ75_spl
| ~ sQ5_spl
| sQ168_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f5303,f5203,f1006,f140,f379]) ).
fof(f5319,plain,
( ~ sQ75_spl
| ~ sQ5_spl
| sQ132_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f5304,f5203,f616,f140,f379]) ).
fof(f5320,plain,
( ~ sQ35_spl
| ~ sQ5_spl
| sQ174_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f5305,f2866,f1056,f140,f241]) ).
fof(f5321,plain,
( ~ sQ35_spl
| ~ sQ5_spl
| sQ126_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f5306,f2866,f568,f140,f241]) ).
fof(f5322,plain,
( ~ sQ65_spl
| ~ sQ5_spl
| sQ166_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f5307,f1612,f979,f140,f342]) ).
fof(f5323,plain,
( ~ sQ65_spl
| ~ sQ5_spl
| sQ129_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f5308,f1612,f592,f140,f342]) ).
fof(f5326,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ27_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f216,f2424]) ).
fof(f5327,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ27_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f216,f2423]) ).
fof(f5328,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ27_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f216,f4070]) ).
fof(f5329,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ27_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f216,f4069]) ).
fof(f5330,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ27_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f216,f587]) ).
fof(f5331,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ27_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f216,f588]) ).
fof(f5332,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f216,f95]) ).
fof(f5333,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f216,f93]) ).
fof(f5334,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f216,f91]) ).
fof(f5335,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f216,f102]) ).
fof(f5336,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f216,f101]) ).
fof(f5337,plain,
! [X0,X1,X2] :
( ~ sQ27_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f216,f100]) ).
fof(f5338,plain,
! [X0,X1,X2] :
( ~ sQ27_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f216,f98]) ).
fof(f5339,definition,
! [X0] :
( sQ352_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f5340,plain,
! [X0] :
( ~ sQ352_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f5339]) ).
fof(f5342,plain,
( ~ sQ117_spl
| ~ sQ27_spl
| sQ163_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f5326,f5339,f961,f215,f518]) ).
fof(f5343,plain,
( ~ sQ117_spl
| ~ sQ27_spl
| sQ132_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f5327,f5339,f616,f215,f518]) ).
fof(f5344,definition,
! [X0] :
( sQ353_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f5345,plain,
! [X0] :
( ~ sQ353_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f5344]) ).
fof(f5347,plain,
( ~ sQ82_spl
| ~ sQ27_spl
| sQ166_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f5328,f5344,f979,f215,f401]) ).
fof(f5348,plain,
( ~ sQ82_spl
| ~ sQ27_spl
| sQ126_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f5329,f5344,f568,f215,f401]) ).
fof(f5349,definition,
! [X0] :
( sQ354_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f5350,plain,
! [X0] :
( ~ sQ354_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f5349]) ).
fof(f5352,plain,
( ~ sQ22_spl
| ~ sQ27_spl
| sQ148_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f5330,f5349,f773,f215,f194]) ).
fof(f5353,plain,
( ~ sQ22_spl
| ~ sQ27_spl
| sQ168_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f5331,f5349,f1006,f215,f194]) ).
fof(f5354,definition,
! [X0] :
( sQ355_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f5355,plain,
! [X0] :
( ~ sQ355_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f5354]) ).
fof(f5357,plain,
( ~ sQ27_spl
| sQ174_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f5335,f5354,f1056,f215]) ).
fof(f5358,plain,
( ~ sQ27_spl
| sQ129_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f5336,f5354,f592,f215]) ).
fof(f5359,plain,
( ~ sQ29_spl
| ~ sQ194_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f222,f3824]) ).
fof(f5360,plain,
( ~ sQ29_spl
| ~ sQ194_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f5359]) ).
fof(f5362,plain,
( ~ sQ46_spl
| ~ sQ352_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f5340,f277]) ).
fof(f5363,plain,
( ~ sQ18_spl
| ~ sQ353_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f5345,f182]) ).
fof(f5364,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ27_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f5337,f402]) ).
fof(f5365,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ27_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f5337,f195]) ).
fof(f5366,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f5337,f96]) ).
fof(f5367,plain,
( ~ sQ82_spl
| ~ sQ27_spl
| sQ168_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f5364,f5344,f1006,f215,f401]) ).
fof(f5368,plain,
( ~ sQ22_spl
| ~ sQ27_spl
| sQ169_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f5365,f5349,f1010,f215,f194]) ).
fof(f5369,plain,
( ~ sQ27_spl
| sQ136_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f5366,f5354,f655,f215]) ).
fof(f5370,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ27_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f5338,f402]) ).
fof(f5371,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ27_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f5338,f195]) ).
fof(f5372,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f5338,f96]) ).
fof(f5373,plain,
( ~ sQ82_spl
| ~ sQ27_spl
| sQ141_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f5370,f5344,f700,f215,f401]) ).
fof(f5374,plain,
( ~ sQ22_spl
| ~ sQ27_spl
| sQ126_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f5371,f5349,f568,f215,f194]) ).
fof(f5375,plain,
( ~ sQ27_spl
| sQ152_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f5372,f5354,f817,f215]) ).
fof(f5378,plain,
( ~ sQ348_spl
| ~ sQ44_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f270,f5204]) ).
fof(f5380,plain,
( ~ sQ329_spl
| ~ sQ44_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f270,f4503]) ).
fof(f5381,plain,
( ~ sQ320_spl
| ~ sQ44_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f270,f4220]) ).
fof(f5382,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f270,f1097]) ).
fof(f5383,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f270,f1096]) ).
fof(f5384,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ44_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f270,f1406]) ).
fof(f5385,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ44_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f270,f1405]) ).
fof(f5386,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ44_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f270,f2130]) ).
fof(f5387,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ44_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f270,f2129]) ).
fof(f5395,plain,
( ~ sQ44_spl
| sQ161_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f5382,f3090,f920,f269]) ).
fof(f5396,plain,
( ~ sQ44_spl
| sQ146_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f5383,f3090,f758,f269]) ).
fof(f5397,plain,
( ~ sQ74_spl
| ~ sQ44_spl
| sQ174_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f5384,f1445,f1056,f269,f370]) ).
fof(f5398,plain,
( ~ sQ74_spl
| ~ sQ44_spl
| sQ135_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f5385,f1445,f648,f269,f370]) ).
fof(f5399,plain,
( ~ sQ89_spl
| ~ sQ44_spl
| sQ166_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f5386,f4567,f979,f269,f423]) ).
fof(f5400,plain,
( ~ sQ89_spl
| ~ sQ44_spl
| sQ144_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f5387,f4567,f727,f269,f423]) ).
fof(f5403,plain,
( ~ sQ177_spl
| ~ sQ56_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f314,f1099]) ).
fof(f5404,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ56_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f314,f1070]) ).
fof(f5405,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ56_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f314,f1069]) ).
fof(f5406,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ56_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f314,f3873]) ).
fof(f5407,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ56_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f314,f3874]) ).
fof(f5408,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f314,f95]) ).
fof(f5409,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f314,f93]) ).
fof(f5410,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f314,f91]) ).
fof(f5411,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f314,f102]) ).
fof(f5412,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f314,f101]) ).
fof(f5413,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f314,f100]) ).
fof(f5414,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f314,f98]) ).
fof(f5415,plain,
( ~ sQ46_spl
| ~ sQ56_spl
| sQ152_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f5404,f2795,f817,f313,f276]) ).
fof(f5416,plain,
( ~ sQ46_spl
| ~ sQ56_spl
| sQ163_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f5405,f2795,f961,f313,f276]) ).
fof(f5417,definition,
! [X0] :
( sQ356_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f5418,plain,
! [X0] :
( ~ sQ356_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f5417]) ).
fof(f5420,plain,
( ~ sQ11_spl
| ~ sQ56_spl
| sQ174_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f5406,f5417,f1056,f313,f159]) ).
fof(f5421,plain,
( ~ sQ11_spl
| ~ sQ56_spl
| sQ136_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f5407,f5417,f655,f313,f159]) ).
fof(f5422,definition,
! [X0] :
( sQ357_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f5423,plain,
! [X0] :
( ~ sQ357_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f5422]) ).
fof(f5425,plain,
( ~ sQ56_spl
| sQ157_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f5411,f5422,f863,f313]) ).
fof(f5426,plain,
( ~ sQ56_spl
| sQ166_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f5412,f5422,f979,f313]) ).
fof(f5427,plain,
( ~ sQ117_spl
| ~ sQ102_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f471,f2419]) ).
fof(f5428,plain,
( ~ sQ27_spl
| ~ sQ102_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f471,f5332]) ).
fof(f5429,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ102_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f471,f5338]) ).
fof(f5430,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ102_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f471,f5337]) ).
fof(f5431,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ102_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f471,f2424]) ).
fof(f5432,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ102_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f471,f2423]) ).
fof(f5433,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ102_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f471,f4070]) ).
fof(f5434,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ102_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f471,f4069]) ).
fof(f5435,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ102_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f471,f587]) ).
fof(f5436,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ102_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f471,f588]) ).
fof(f5437,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f471,f95]) ).
fof(f5438,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f471,f93]) ).
fof(f5439,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_3,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f471,f91]) ).
fof(f5440,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f471,f102]) ).
fof(f5441,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f471,f101]) ).
fof(f5442,plain,
! [X0,X1,X2] :
( ~ sQ102_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f471,f100]) ).
fof(f5443,plain,
! [X0,X1,X2] :
( ~ sQ102_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f471,f98]) ).
fof(f5444,plain,
( ~ sQ117_spl
| ~ sQ102_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f5427,f616,f470,f518]) ).
fof(f5445,plain,
( ~ sQ27_spl
| ~ sQ102_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f5428,f572,f470,f215]) ).
fof(f5446,definition,
! [X0] :
( sQ358_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f5447,plain,
! [X0] :
( ~ sQ358_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f5446]) ).
fof(f5449,plain,
( ~ sQ27_spl
| ~ sQ102_spl
| sQ127_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f5429,f5446,f572,f470,f215]) ).
fof(f5450,plain,
( ~ sQ27_spl
| ~ sQ102_spl
| sQ139_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f5430,f5446,f684,f470,f215]) ).
fof(f5451,definition,
! [X0] :
( sQ359_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f5452,plain,
! [X0] :
( ~ sQ359_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f5451]) ).
fof(f5454,plain,
( ~ sQ117_spl
| ~ sQ102_spl
| sQ172_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f5431,f5451,f1049,f470,f518]) ).
fof(f5455,plain,
( ~ sQ117_spl
| ~ sQ102_spl
| sQ132_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f5432,f5451,f616,f470,f518]) ).
fof(f5456,definition,
! [X0] :
( sQ360_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f5457,plain,
! [X0] :
( ~ sQ360_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f5456]) ).
fof(f5459,plain,
( ~ sQ82_spl
| ~ sQ102_spl
| sQ133_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f5433,f5456,f620,f470,f401]) ).
fof(f5460,plain,
( ~ sQ82_spl
| ~ sQ102_spl
| sQ126_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f5434,f5456,f568,f470,f401]) ).
fof(f5461,definition,
! [X0] :
( sQ361_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f5462,plain,
! [X0] :
( ~ sQ361_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f5461]) ).
fof(f5464,plain,
( ~ sQ22_spl
| ~ sQ102_spl
| sQ148_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f5435,f5461,f773,f470,f194]) ).
fof(f5465,plain,
( ~ sQ22_spl
| ~ sQ102_spl
| sQ169_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f5436,f5461,f1010,f470,f194]) ).
fof(f5466,definition,
! [X0] :
( sQ362_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f5467,plain,
! [X0] :
( ~ sQ362_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f5466]) ).
fof(f5469,plain,
( ~ sQ102_spl
| sQ130_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f5440,f5466,f596,f470]) ).
fof(f5470,plain,
( ~ sQ102_spl
| sQ129_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f5441,f5466,f592,f470]) ).
fof(f5471,plain,
( ~ sQ117_spl
| ~ sQ112_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f503,f2419]) ).
fof(f5472,plain,
( ~ sQ355_spl
| ~ sQ112_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f503,f5355]) ).
fof(f5473,plain,
( ~ sQ128_spl
| ~ sQ112_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f503,f590]) ).
fof(f5474,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ112_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f503,f5338]) ).
fof(f5475,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ112_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f503,f5337]) ).
fof(f5476,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ112_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f503,f2424]) ).
fof(f5477,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ112_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f503,f2423]) ).
fof(f5478,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ112_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f503,f4070]) ).
fof(f5479,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ112_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f503,f4069]) ).
fof(f5480,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ112_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f503,f587]) ).
fof(f5481,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ112_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f503,f588]) ).
fof(f5482,plain,
( ~ sQ112_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f503,f112]) ).
fof(f5483,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f503,f95]) ).
fof(f5484,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f503,f93]) ).
fof(f5485,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f503,f91]) ).
fof(f5486,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f503,f102]) ).
fof(f5487,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f503,f101]) ).
fof(f5488,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f503,f100]) ).
fof(f5489,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f503,f98]) ).
fof(f5490,plain,
( ~ sQ117_spl
| ~ sQ112_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f5471,f863,f502,f518]) ).
fof(f5491,definition,
! [X0] :
( sQ363_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f5492,plain,
! [X0] :
( ~ sQ363_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f5491]) ).
fof(f5494,plain,
( ~ sQ27_spl
| ~ sQ112_spl
| sQ127_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f5474,f5491,f572,f502,f215]) ).
fof(f5495,plain,
( ~ sQ27_spl
| ~ sQ112_spl
| sQ136_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f5475,f5491,f655,f502,f215]) ).
fof(f5496,definition,
! [X0] :
( sQ364_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f5497,plain,
! [X0] :
( ~ sQ364_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f5496]) ).
fof(f5499,plain,
( ~ sQ117_spl
| ~ sQ112_spl
| sQ172_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f5476,f5496,f1049,f502,f518]) ).
fof(f5500,plain,
( ~ sQ117_spl
| ~ sQ112_spl
| sQ157_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f5477,f5496,f863,f502,f518]) ).
fof(f5501,definition,
! [X0] :
( sQ365_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f5502,plain,
! [X0] :
( ~ sQ365_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f5501]) ).
fof(f5504,plain,
( ~ sQ82_spl
| ~ sQ112_spl
| sQ133_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f5478,f5501,f620,f502,f401]) ).
fof(f5505,plain,
( ~ sQ82_spl
| ~ sQ112_spl
| sQ152_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f5479,f5501,f817,f502,f401]) ).
fof(f5506,definition,
! [X0] :
( sQ366_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f5507,plain,
! [X0] :
( ~ sQ366_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f5506]) ).
fof(f5509,plain,
( ~ sQ22_spl
| ~ sQ112_spl
| sQ134_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f5480,f5506,f641,f502,f194]) ).
fof(f5510,plain,
( ~ sQ22_spl
| ~ sQ112_spl
| sQ169_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f5481,f5506,f1010,f502,f194]) ).
fof(f5511,plain,
( ~ sQ112_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f5482,f596,f502]) ).
fof(f5512,definition,
! [X0] :
( sQ367_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f5513,plain,
! [X0] :
( ~ sQ367_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f5512]) ).
fof(f5515,plain,
( ~ sQ112_spl
| sQ130_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f5486,f5512,f596,f502]) ).
fof(f5516,plain,
( ~ sQ112_spl
| sQ154_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f5487,f5512,f838,f502]) ).
fof(f5517,plain,
! [X0] :
( ~ sQ351_spl
| ~ product(X0,e_2,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f5272]) ).
fof(f5518,plain,
! [X0] :
( ~ sQ346_spl
| ~ product(X0,e_2,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f4948]) ).
fof(f5519,plain,
! [X0] :
( ~ sQ331_spl
| ~ product(X0,e_3,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f4537]) ).
fof(f5520,plain,
( ~ sQ284_spl
| ~ sQ22_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f3646,f146,f194,f3014]) ).
fof(f5521,plain,
( ~ sQ215_spl
| ~ sQ111_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f3388,f467,f499,f1639]) ).
fof(f5522,plain,
( ~ sQ329_spl
| ~ sQ44_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f5380,f244,f269,f4502]) ).
fof(f5523,plain,
( ~ sQ22_spl
| ~ sQ298_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f3419,f195]) ).
fof(f5529,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ49_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1002,f270]) ).
fof(f5531,plain,
( ~ sQ44_spl
| ~ sQ49_spl
| sQ161_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f5529,f3136,f920,f285,f269]) ).
fof(f5557,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ69_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1529,f270]) ).
fof(f5559,plain,
( ~ sQ44_spl
| ~ sQ69_spl
| sQ146_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f5557,f1574,f758,f354,f269]) ).
fof(f5561,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ69_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1530,f270]) ).
fof(f5563,plain,
( ~ sQ44_spl
| ~ sQ69_spl
| sQ174_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f5561,f1574,f1056,f354,f269]) ).
fof(f5565,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ73_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1419,f182]) ).
fof(f5567,plain,
( ~ sQ18_spl
| ~ sQ73_spl
| sQ129_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f5565,f1510,f592,f367,f181]) ).
fof(f5569,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ73_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1418,f182]) ).
fof(f5571,plain,
( ~ sQ18_spl
| ~ sQ73_spl
| sQ135_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f5569,f1510,f648,f367,f181]) ).
fof(f5573,plain,
( ~ sQ44_spl
| ~ sQ49_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f997,f270]) ).
fof(f5574,plain,
( ~ sQ44_spl
| ~ sQ49_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f5573,f648,f285,f269]) ).
fof(f5575,plain,
( ~ sQ167_spl
| ~ sQ55_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f311,f1004]) ).
fof(f5576,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ55_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f311,f877]) ).
fof(f5577,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ55_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f311,f876]) ).
fof(f5578,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f311,f95]) ).
fof(f5579,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f311,f93]) ).
fof(f5580,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f311,f91]) ).
fof(f5581,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f311,f102]) ).
fof(f5582,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f311,f101]) ).
fof(f5583,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f311,f100]) ).
fof(f5584,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f311,f98]) ).
fof(f5585,plain,
( ~ sQ10_spl
| ~ sQ55_spl
| sQ136_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f5576,f5417,f655,f310,f156]) ).
fof(f5586,plain,
( ~ sQ10_spl
| ~ sQ55_spl
| sQ174_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f5577,f5417,f1056,f310,f156]) ).
fof(f5587,definition,
! [X0] :
( sQ368_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f5588,plain,
! [X0] :
( ~ sQ368_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f5587]) ).
fof(f5590,plain,
( ~ sQ55_spl
| sQ134_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f5581,f5587,f641,f310]) ).
fof(f5591,plain,
( ~ sQ55_spl
| sQ163_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f5582,f5587,f961,f310]) ).
fof(f5616,plain,
( ~ sQ195_spl
| ~ sQ10_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f157,f1421]) ).
fof(f5630,plain,
( ~ sQ10_spl
| ~ sQ203_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f1511,f157]) ).
fof(f5631,plain,
( ~ sQ355_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f5355,f96]) ).
fof(f5633,plain,
( ~ sQ311_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f4029,f96]) ).
fof(f5634,plain,
( ~ sQ368_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f5588,f96]) ).
fof(f5636,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f931,f96]) ).
fof(f5637,definition,
! [X0] :
( sQ369_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f5638,plain,
! [X0] :
( ~ sQ369_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f5637]) ).
fof(f5641,plain,
( ~ sQ7_spl
| sQ152_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f5636,f1696,f817,f146]) ).
fof(f5642,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ7_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f932,f195]) ).
fof(f5643,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f932,f96]) ).
fof(f5644,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| sQ139_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f5642,f5637,f684,f146,f194]) ).
fof(f5645,plain,
( ~ sQ7_spl
| sQ136_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f5643,f1696,f655,f146]) ).
fof(f5646,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ99_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1849,f286]) ).
fof(f5647,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1849,f96]) ).
fof(f5648,plain,
( ~ sQ49_spl
| ~ sQ99_spl
| sQ172_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f5646,f1950,f1049,f455,f285]) ).
fof(f5649,plain,
( ~ sQ99_spl
| sQ148_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f5647,f1851,f773,f455]) ).
fof(f5650,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ99_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1850,f286]) ).
fof(f5651,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1850,f96]) ).
fof(f5652,plain,
( ~ sQ49_spl
| ~ sQ99_spl
| sQ166_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f5650,f1950,f979,f455,f285]) ).
fof(f5653,plain,
( ~ sQ99_spl
| sQ132_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f5651,f1851,f616,f455]) ).
fof(f5658,plain,
( ~ sQ18_spl
| ~ sQ315_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f4078,f182]) ).
fof(f5659,plain,
( ~ sQ18_spl
| ~ sQ316_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f4083,f182]) ).
fof(f5661,plain,
( ~ sQ305_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f3712,f96]) ).
fof(f5690,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ88_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2152,f182]) ).
fof(f5692,definition,
! [X0] :
( sQ370_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f5693,plain,
! [X0] :
( ~ sQ370_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f5692]) ).
fof(f5695,plain,
( ~ sQ18_spl
| ~ sQ88_spl
| sQ144_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f5690,f5692,f727,f420,f181]) ).
fof(f5697,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ88_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2153,f182]) ).
fof(f5699,plain,
( ~ sQ18_spl
| ~ sQ88_spl
| sQ132_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f5697,f5692,f616,f420,f181]) ).
fof(f5705,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f927,f195]) ).
fof(f5706,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f5705,f572,f146,f194]) ).
fof(f5707,plain,
( ~ sQ40_spl
| sQ161_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f3563,f3090,f920,f257]) ).
fof(f5708,plain,
( ~ sQ40_spl
| sQ146_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f3564,f3090,f758,f257]) ).
fof(f5711,definition,
! [X0] :
( sQ371_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f5712,plain,
! [X0] :
( ~ sQ371_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f5711]) ).
fof(f5714,plain,
( ~ sQ10_spl
| ~ sQ40_spl
| sQ168_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f3565,f5711,f1006,f257,f156]) ).
fof(f5715,plain,
( ~ sQ10_spl
| ~ sQ40_spl
| sQ144_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f3566,f5711,f727,f257,f156]) ).
fof(f5716,plain,
( ~ sQ22_spl
| ~ sQ263_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f2482,f195]) ).
fof(f5718,plain,
( ~ sQ22_spl
| ~ sQ323_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f4263,f195]) ).
fof(f5719,plain,
( ~ sQ357_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f5423,f96]) ).
fof(f5720,plain,
( ~ sQ357_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f5719,f420,f5422]) ).
fof(f5721,plain,
( ~ sQ59_spl
| ~ sQ355_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f323,f5631]) ).
fof(f5722,plain,
( ~ sQ59_spl
| ~ sQ355_spl ),
inference(contradiction_clause,[status(thm)],[f5721]) ).
fof(f5725,plain,
( ~ sQ22_spl
| ~ sQ261_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f2472,f195]) ).
fof(f5726,plain,
( ~ sQ182_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1161,f96]) ).
fof(f5728,plain,
( ~ sQ305_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f3712,f96]) ).
fof(f5757,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1157,f157]) ).
fof(f5759,plain,
( ~ sQ10_spl
| ~ sQ40_spl
| sQ157_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f5757,f5711,f863,f257,f156]) ).
fof(f5761,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1158,f157]) ).
fof(f5763,plain,
( ~ sQ10_spl
| ~ sQ40_spl
| sQ126_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f5761,f5711,f568,f257,f156]) ).
fof(f5779,plain,
( ~ sQ119_spl
| ~ sQ69_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f355,f2364]) ).
fof(f5781,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ69_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f355,f1733]) ).
fof(f5782,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ69_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f355,f1734]) ).
fof(f5783,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ69_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f355,f1001]) ).
fof(f5784,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ69_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f355,f1002]) ).
fof(f5785,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ69_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f355,f1171]) ).
fof(f5786,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ69_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f355,f1170]) ).
fof(f5787,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ69_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f355,f2370]) ).
fof(f5788,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ69_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f355,f2369]) ).
fof(f5789,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ69_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f355,f1850]) ).
fof(f5790,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ69_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f355,f1849]) ).
fof(f5791,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f355,f1530]) ).
fof(f5792,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f355,f1529]) ).
fof(f5800,plain,
( ~ sQ119_spl
| ~ sQ69_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f5779,f641,f354,f524]) ).
fof(f5801,definition,
! [X0] :
( sQ372_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f5802,plain,
! [X0] :
( ~ sQ372_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f5801]) ).
fof(f5804,plain,
( ~ sQ59_spl
| ~ sQ69_spl
| sQ141_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f5781,f5801,f700,f354,f322]) ).
fof(f5805,plain,
( ~ sQ59_spl
| ~ sQ69_spl
| sQ154_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f5782,f5801,f838,f354,f322]) ).
fof(f5806,plain,
( ~ sQ49_spl
| ~ sQ69_spl
| sQ135_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f5783,f1617,f648,f354,f285]) ).
fof(f5807,plain,
( ~ sQ49_spl
| ~ sQ69_spl
| sQ152_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f5784,f1617,f817,f354,f285]) ).
fof(f5808,plain,
( ~ sQ39_spl
| ~ sQ69_spl
| sQ152_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f5785,f1799,f817,f354,f253]) ).
fof(f5809,plain,
( ~ sQ39_spl
| ~ sQ69_spl
| sQ144_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f5786,f1799,f727,f354,f253]) ).
fof(f5810,definition,
! [X0] :
( sQ373_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f5811,plain,
! [X0] :
( ~ sQ373_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f5810]) ).
fof(f5813,plain,
( ~ sQ119_spl
| ~ sQ69_spl
| sQ134_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f5787,f5810,f641,f354,f524]) ).
fof(f5814,plain,
( ~ sQ119_spl
| ~ sQ69_spl
| sQ146_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f5788,f5810,f758,f354,f524]) ).
fof(f5815,plain,
( ~ sQ99_spl
| ~ sQ69_spl
| sQ157_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f5789,f1987,f863,f354,f455]) ).
fof(f5816,plain,
( ~ sQ99_spl
| ~ sQ69_spl
| sQ135_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f5790,f1987,f648,f354,f455]) ).
fof(f5817,plain,
( ~ sQ69_spl
| sQ154_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f5791,f1767,f838,f354]) ).
fof(f5818,plain,
( ~ sQ69_spl
| sQ146_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f5792,f1767,f758,f354]) ).
fof(f5821,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ107_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f487,f587]) ).
fof(f5822,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ107_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f487,f588]) ).
fof(f5823,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f487,f95]) ).
fof(f5824,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f487,f93]) ).
fof(f5825,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f487,f91]) ).
fof(f5826,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f487,f102]) ).
fof(f5827,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f487,f101]) ).
fof(f5828,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f487,f100]) ).
fof(f5829,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f487,f98]) ).
fof(f5830,definition,
! [X0] :
( sQ374_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f5831,plain,
! [X0] :
( ~ sQ374_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f5830]) ).
fof(f5833,plain,
( ~ sQ22_spl
| ~ sQ107_spl
| sQ163_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f5821,f5830,f961,f486,f194]) ).
fof(f5834,plain,
( ~ sQ22_spl
| ~ sQ107_spl
| sQ169_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f5822,f5830,f1010,f486,f194]) ).
fof(f5835,definition,
! [X0] :
( sQ375_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f5836,plain,
! [X0] :
( ~ sQ375_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f5835]) ).
fof(f5838,plain,
( ~ sQ107_spl
| sQ130_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f5826,f5835,f596,f486]) ).
fof(f5839,plain,
( ~ sQ107_spl
| sQ174_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f5827,f5835,f1056,f486]) ).
fof(f5842,plain,
( ~ sQ49_spl
| ~ sQ99_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f456,f996]) ).
fof(f5844,plain,
! [X0] :
( ~ sQ99_spl
| ~ greater(e_5,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f456,f63]) ).
fof(f5846,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ99_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f456,f1002]) ).
fof(f5847,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ99_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f456,f2370]) ).
fof(f5848,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ99_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f456,f2369]) ).
fof(f5849,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f456,f1850]) ).
fof(f5850,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f456,f1849]) ).
fof(f5858,plain,
( ~ sQ49_spl
| ~ sQ99_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f5842,f700,f455,f285]) ).
fof(f5860,plain,
( ~ sQ49_spl
| ~ sQ99_spl
| sQ141_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f5846,f1950,f700,f455,f285]) ).
fof(f5861,plain,
( ~ sQ119_spl
| ~ sQ99_spl
| sQ135_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f5847,f2403,f648,f455,f524]) ).
fof(f5862,plain,
( ~ sQ119_spl
| ~ sQ99_spl
| sQ133_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f5848,f2403,f620,f455,f524]) ).
fof(f5863,plain,
( ~ sQ99_spl
| sQ146_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f5849,f2748,f758,f455]) ).
fof(f5864,plain,
( ~ sQ99_spl
| sQ172_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f5850,f2748,f1049,f455]) ).
fof(f5867,plain,
( ~ sQ113_spl
| ~ sQ103_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f474,f2465]) ).
fof(f5868,plain,
( ~ sQ53_spl
| ~ sQ103_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f474,f4231]) ).
fof(f5869,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ103_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f474,f2470]) ).
fof(f5870,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ103_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f474,f2469]) ).
fof(f5871,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ103_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f474,f4236]) ).
fof(f5872,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ103_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f474,f4237]) ).
fof(f5873,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ103_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f474,f694]) ).
fof(f5874,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ103_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f474,f695]) ).
fof(f5875,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f474,f95]) ).
fof(f5876,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f474,f93]) ).
fof(f5877,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f474,f91]) ).
fof(f5878,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f474,f102]) ).
fof(f5879,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f474,f101]) ).
fof(f5880,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f474,f100]) ).
fof(f5881,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f474,f98]) ).
fof(f5882,plain,
( ~ sQ113_spl
| ~ sQ103_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f5867,f592,f473,f505]) ).
fof(f5883,plain,
( ~ sQ53_spl
| ~ sQ103_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f5868,f596,f473,f303]) ).
fof(f5884,definition,
! [X0] :
( sQ376_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f5885,plain,
! [X0] :
( ~ sQ376_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f5884]) ).
fof(f5887,plain,
( ~ sQ113_spl
| ~ sQ103_spl
| sQ172_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f5869,f5884,f1049,f473,f505]) ).
fof(f5888,plain,
( ~ sQ113_spl
| ~ sQ103_spl
| sQ129_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f5870,f5884,f592,f473,f505]) ).
fof(f5889,definition,
! [X0] :
( sQ377_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f5890,plain,
! [X0] :
( ~ sQ377_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f5889]) ).
fof(f5892,plain,
( ~ sQ53_spl
| ~ sQ103_spl
| sQ139_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f5871,f5889,f684,f473,f303]) ).
fof(f5893,plain,
( ~ sQ53_spl
| ~ sQ103_spl
| sQ130_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f5872,f5889,f596,f473,f303]) ).
fof(f5894,definition,
! [X0] :
( sQ378_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f5895,plain,
! [X0] :
( ~ sQ378_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f5894]) ).
fof(f5897,plain,
( ~ sQ18_spl
| ~ sQ103_spl
| sQ132_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f5873,f5894,f616,f473,f181]) ).
fof(f5898,plain,
( ~ sQ18_spl
| ~ sQ103_spl
| sQ169_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f5874,f5894,f1010,f473,f181]) ).
fof(f5899,definition,
! [X0] :
( sQ379_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f5900,plain,
! [X0] :
( ~ sQ379_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f5899]) ).
fof(f5902,plain,
( ~ sQ103_spl
| sQ127_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f5878,f5899,f572,f473]) ).
fof(f5903,plain,
( ~ sQ103_spl
| sQ126_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f5879,f5899,f568,f473]) ).
fof(f5909,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f525,f2370]) ).
fof(f5910,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f525,f2369]) ).
fof(f5920,definition,
! [X0] :
( sQ380_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f5921,plain,
! [X0] :
( ~ sQ380_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f5920]) ).
fof(f5923,plain,
( ~ sQ119_spl
| sQ172_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f5909,f5920,f1049,f524]) ).
fof(f5924,plain,
( ~ sQ119_spl
| sQ146_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f5910,f5920,f758,f524]) ).
fof(f5950,plain,
! [X0] :
( ~ sQ49_spl
| ~ greater(e_5,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f286,f63]) ).
fof(f5968,plain,
( ~ sQ6_spl
| ~ sQ179_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f1127,f144]) ).
fof(f5969,plain,
( ~ sQ107_spl
| ~ sQ280_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f2867,f487]) ).
fof(f5978,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ42_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1124,f487]) ).
fof(f5981,definition,
! [X0] :
( sQ381_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f5982,plain,
! [X0] :
( ~ sQ381_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f5981]) ).
fof(f5984,plain,
( ~ sQ107_spl
| ~ sQ42_spl
| sQ166_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f5978,f5981,f979,f263,f486]) ).
fof(f5987,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ42_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1125,f487]) ).
fof(f5990,plain,
( ~ sQ107_spl
| ~ sQ42_spl
| sQ127_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f5987,f5981,f572,f263,f486]) ).
fof(f5998,plain,
( ~ sQ22_spl
| ~ sQ262_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f2477,f195]) ).
fof(f6000,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ89_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2129,f525]) ).
fof(f6003,plain,
( ~ sQ119_spl
| ~ sQ89_spl
| sQ144_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f6000,f4940,f727,f423,f524]) ).
fof(f6006,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ89_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2130,f525]) ).
fof(f6009,plain,
( ~ sQ119_spl
| ~ sQ89_spl
| sQ133_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f6006,f4940,f620,f423,f524]) ).
fof(f6019,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ27_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f5337,f487]) ).
fof(f6022,plain,
( ~ sQ107_spl
| ~ sQ27_spl
| sQ168_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f6019,f4723,f1006,f215,f486]) ).
fof(f6025,plain,
( ~ sQ305_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f3712,f96]) ).
fof(f6026,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f5828,f487]) ).
fof(f6027,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ107_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f5828,f195]) ).
fof(f6028,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f5828,f96]) ).
fof(f6029,definition,
! [X0] :
( sQ382_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f6030,plain,
! [X0] :
( ~ sQ382_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f6029]) ).
fof(f6032,plain,
( ~ sQ107_spl
| sQ161_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f6026,f6029,f920,f486]) ).
fof(f6033,plain,
( ~ sQ22_spl
| ~ sQ107_spl
| sQ127_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f6027,f5830,f572,f486,f194]) ).
fof(f6034,plain,
( ~ sQ107_spl
| sQ152_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f6028,f5835,f817,f486]) ).
fof(f6035,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f5829,f487]) ).
fof(f6036,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ107_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f5829,f195]) ).
fof(f6037,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f5829,f96]) ).
fof(f6038,plain,
( ~ sQ107_spl
| sQ172_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f6035,f6029,f1049,f486]) ).
fof(f6039,plain,
( ~ sQ22_spl
| ~ sQ107_spl
| sQ148_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f6036,f5830,f773,f486,f194]) ).
fof(f6040,plain,
( ~ sQ107_spl
| sQ134_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f6037,f5835,f641,f486]) ).
fof(f6062,plain,
( ~ sQ345_spl
| ~ sQ71_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f362,f4941]) ).
fof(f6065,plain,
( ~ sQ253_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f362,f2377]) ).
fof(f6066,plain,
! [X0] :
( ~ sQ71_spl
| ~ greater(e_2,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f362,f63]) ).
fof(f6121,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f506,f2470]) ).
fof(f6122,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f506,f2469]) ).
fof(f6123,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ113_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f506,f4236]) ).
fof(f6124,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ113_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f506,f4237]) ).
fof(f6136,definition,
! [X0] :
( sQ383_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f6137,plain,
! [X0] :
( ~ sQ383_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f6136]) ).
fof(f6139,plain,
( ~ sQ113_spl
| sQ172_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f6121,f6136,f1049,f505]) ).
fof(f6140,plain,
( ~ sQ113_spl
| sQ154_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f6122,f6136,f838,f505]) ).
fof(f6141,plain,
( ~ sQ53_spl
| ~ sQ113_spl
| sQ136_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f6123,f4262,f655,f505,f303]) ).
fof(f6142,plain,
( ~ sQ53_spl
| ~ sQ113_spl
| sQ130_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f6124,f4262,f596,f505,f303]) ).
fof(f6147,plain,
( ~ sQ167_spl
| ~ sQ80_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f396,f1004]) ).
fof(f6148,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ80_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f396,f3704]) ).
fof(f6149,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ80_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f396,f3703]) ).
fof(f6150,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ80_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f396,f1636]) ).
fof(f6151,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ80_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f396,f1637]) ).
fof(f6152,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ80_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f396,f877]) ).
fof(f6153,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ80_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f396,f876]) ).
fof(f6154,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f396,f95]) ).
fof(f6155,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f396,f93]) ).
fof(f6156,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_1,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f396,f91]) ).
fof(f6157,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f396,f102]) ).
fof(f6158,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f396,f101]) ).
fof(f6159,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f396,f100]) ).
fof(f6160,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f396,f98]) ).
fof(f6161,plain,
( ~ sQ25_spl
| ~ sQ80_spl
| sQ141_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f6148,f5344,f700,f395,f209]) ).
fof(f6162,plain,
( ~ sQ25_spl
| ~ sQ80_spl
| sQ168_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f6149,f5344,f1006,f395,f209]) ).
fof(f6163,definition,
! [X0] :
( sQ384_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f6164,plain,
! [X0] :
( ~ sQ384_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f6163]) ).
fof(f6166,plain,
( ~ sQ65_spl
| ~ sQ80_spl
| sQ166_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f6150,f6163,f979,f395,f342]) ).
fof(f6167,plain,
( ~ sQ65_spl
| ~ sQ80_spl
| sQ144_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f6151,f6163,f727,f395,f342]) ).
fof(f6168,definition,
! [X0] :
( sQ385_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f6169,plain,
! [X0] :
( ~ sQ385_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f6168]) ).
fof(f6171,plain,
( ~ sQ10_spl
| ~ sQ80_spl
| sQ137_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f6152,f6168,f662,f395,f156]) ).
fof(f6172,plain,
( ~ sQ10_spl
| ~ sQ80_spl
| sQ174_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f6153,f6168,f1056,f395,f156]) ).
fof(f6173,definition,
! [X0] :
( sQ386_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f6174,plain,
! [X0] :
( ~ sQ386_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f6173]) ).
fof(f6176,plain,
( ~ sQ80_spl
| sQ135_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f6157,f6173,f648,f395]) ).
fof(f6177,plain,
( ~ sQ80_spl
| sQ163_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f6158,f6173,f961,f395]) ).
fof(f6178,plain,
( ~ sQ18_spl
| ~ sQ353_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f5345,f182]) ).
fof(f6179,plain,
( ~ sQ18_spl
| ~ sQ384_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f6164,f182]) ).
fof(f6180,plain,
( ~ sQ18_spl
| ~ sQ385_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f6169,f182]) ).
fof(f6182,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f6159,f396]) ).
fof(f6183,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ80_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f6159,f157]) ).
fof(f6184,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f6159,f96]) ).
fof(f6185,plain,
( ~ sQ80_spl
| sQ161_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f6182,f5271,f920,f395]) ).
fof(f6186,plain,
( ~ sQ10_spl
| ~ sQ80_spl
| sQ152_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f6183,f6168,f817,f395,f156]) ).
fof(f6187,plain,
( ~ sQ80_spl
| sQ127_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f6184,f6173,f572,f395]) ).
fof(f6188,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f6160,f396]) ).
fof(f6189,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ80_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f6160,f157]) ).
fof(f6190,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f6160,f96]) ).
fof(f6191,plain,
( ~ sQ80_spl
| sQ146_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f6188,f5271,f758,f395]) ).
fof(f6192,plain,
( ~ sQ10_spl
| ~ sQ80_spl
| sQ132_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f6189,f6168,f616,f395,f156]) ).
fof(f6193,plain,
( ~ sQ80_spl
| sQ133_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f6190,f6173,f620,f395]) ).
fof(f6197,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ77_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f386,f5829]) ).
fof(f6198,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ77_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f386,f5828]) ).
fof(f6199,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ77_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f386,f1125]) ).
fof(f6200,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ77_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f386,f1124]) ).
fof(f6201,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ77_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f386,f587]) ).
fof(f6202,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ77_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f386,f588]) ).
fof(f6203,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f386,f95]) ).
fof(f6204,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f386,f93]) ).
fof(f6205,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_3,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f386,f91]) ).
fof(f6206,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f386,f102]) ).
fof(f6207,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f386,f101]) ).
fof(f6208,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f386,f100]) ).
fof(f6209,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f386,f98]) ).
fof(f6210,definition,
! [X0] :
( sQ387_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f6211,plain,
! [X0] :
( ~ sQ387_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f6210]) ).
fof(f6213,plain,
( ~ sQ107_spl
| ~ sQ77_spl
| sQ135_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f6197,f6210,f648,f385,f486]) ).
fof(f6214,plain,
( ~ sQ107_spl
| ~ sQ77_spl
| sQ126_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f6198,f6210,f568,f385,f486]) ).
fof(f6215,definition,
! [X0] :
( sQ388_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f6216,plain,
! [X0] :
( ~ sQ388_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f6215]) ).
fof(f6218,plain,
( ~ sQ42_spl
| ~ sQ77_spl
| sQ141_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f6199,f6215,f700,f385,f263]) ).
fof(f6219,plain,
( ~ sQ42_spl
| ~ sQ77_spl
| sQ132_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f6200,f6215,f616,f385,f263]) ).
fof(f6220,definition,
! [X0] :
( sQ389_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f6221,plain,
! [X0] :
( ~ sQ389_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f6220]) ).
fof(f6223,plain,
( ~ sQ22_spl
| ~ sQ77_spl
| sQ148_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f6201,f6220,f773,f385,f194]) ).
fof(f6224,plain,
( ~ sQ22_spl
| ~ sQ77_spl
| sQ137_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f6202,f6220,f662,f385,f194]) ).
fof(f6225,definition,
! [X0] :
( sQ390_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f6226,plain,
! [X0] :
( ~ sQ390_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f6225]) ).
fof(f6228,plain,
( ~ sQ77_spl
| sQ144_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f6206,f6225,f727,f385]) ).
fof(f6229,plain,
( ~ sQ77_spl
| sQ129_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f6207,f6225,f592,f385]) ).
fof(f6230,plain,
( ~ sQ119_spl
| ~ sQ388_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f6216,f525]) ).
fof(f6231,plain,
( ~ sQ119_spl
| ~ sQ389_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f6221,f525]) ).
fof(f6232,plain,
( ~ sQ119_spl
| ~ sQ390_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f6226,f525]) ).
fof(f6233,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f6208,f386]) ).
fof(f6234,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ77_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f6208,f487]) ).
fof(f6235,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ77_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f6208,f195]) ).
fof(f6236,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f6208,f96]) ).
fof(f6237,plain,
( ~ sQ77_spl
| sQ139_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f6233,f4283,f684,f385]) ).
fof(f6238,plain,
( ~ sQ107_spl
| ~ sQ77_spl
| sQ168_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f6234,f6210,f1006,f385,f486]) ).
fof(f6239,plain,
( ~ sQ22_spl
| ~ sQ77_spl
| sQ169_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f6235,f6220,f1010,f385,f194]) ).
fof(f6240,plain,
( ~ sQ77_spl
| sQ136_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f6236,f6225,f655,f385]) ).
fof(f6241,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f6209,f386]) ).
fof(f6242,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ77_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f6209,f487]) ).
fof(f6243,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ77_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f6209,f195]) ).
fof(f6244,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f6209,f96]) ).
fof(f6245,plain,
( ~ sQ77_spl
| sQ146_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f6241,f4283,f758,f385]) ).
fof(f6246,plain,
( ~ sQ107_spl
| ~ sQ77_spl
| sQ133_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f6242,f6210,f620,f385,f486]) ).
fof(f6247,plain,
( ~ sQ22_spl
| ~ sQ77_spl
| sQ132_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f6243,f6220,f616,f385,f194]) ).
fof(f6248,plain,
( ~ sQ77_spl
| sQ157_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f6244,f6225,f863,f385]) ).
fof(f6257,plain,
( ~ sQ286_spl
| ~ sQ65_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f343,f3053]) ).
fof(f6258,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ65_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f343,f6160]) ).
fof(f6259,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ65_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f343,f6159]) ).
fof(f6260,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ65_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f343,f3704]) ).
fof(f6261,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ65_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f343,f3703]) ).
fof(f6273,plain,
( ~ sQ80_spl
| ~ sQ65_spl
| sQ157_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f6258,f6163,f863,f342,f395]) ).
fof(f6274,plain,
( ~ sQ80_spl
| ~ sQ65_spl
| sQ141_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f6259,f6163,f700,f342,f395]) ).
fof(f6275,plain,
( ~ sQ25_spl
| ~ sQ65_spl
| sQ152_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f6260,f2553,f817,f342,f209]) ).
fof(f6276,plain,
( ~ sQ25_spl
| ~ sQ65_spl
| sQ137_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f6261,f2553,f662,f342,f209]) ).
fof(f6286,plain,
( ~ sQ241_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f264,f2137]) ).
fof(f6287,plain,
( ~ sQ240_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f264,f2132]) ).
fof(f6288,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ42_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f264,f6209]) ).
fof(f6289,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ42_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f264,f6208]) ).
fof(f6290,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ42_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f264,f5829]) ).
fof(f6291,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ42_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f264,f5828]) ).
fof(f6303,plain,
( ~ sQ77_spl
| ~ sQ42_spl
| sQ166_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f6288,f6215,f979,f263,f385]) ).
fof(f6304,plain,
( ~ sQ77_spl
| ~ sQ42_spl
| sQ137_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f6289,f6215,f662,f263,f385]) ).
fof(f6305,plain,
( ~ sQ107_spl
| ~ sQ42_spl
| sQ163_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f6290,f5981,f961,f263,f486]) ).
fof(f6306,plain,
( ~ sQ107_spl
| ~ sQ42_spl
| sQ141_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f6291,f5981,f700,f263,f486]) ).
fof(f6316,plain,
( ~ sQ327_spl
| ~ sQ89_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f424,f4368]) ).
fof(f6341,plain,
( ~ sQ266_spl
| ~ sQ36_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f245,f2554]) ).
fof(f6343,plain,
( ~ sQ211_spl
| ~ sQ36_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f245,f1608]) ).
fof(f6365,plain,
( ~ sQ58_spl
| ~ sQ65_spl
| ~ sQ227_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f320,f1886]) ).
fof(f6366,plain,
( ~ sQ58_spl
| ~ sQ65_spl
| ~ sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f6365]) ).
fof(f6370,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ59_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1734,f525]) ).
fof(f6374,definition,
! [X0] :
( sQ391_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f6375,plain,
! [X0] :
( ~ sQ391_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f6374]) ).
fof(f6377,plain,
( ~ sQ119_spl
| ~ sQ59_spl
| sQ130_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f6370,f6374,f596,f322,f524]) ).
fof(f6381,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ59_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1733,f525]) ).
fof(f6385,plain,
( ~ sQ119_spl
| ~ sQ59_spl
| sQ141_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f6381,f6374,f700,f322,f524]) ).
fof(f6387,plain,
( ~ sQ113_spl
| ~ sQ277_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f2796,f506]) ).
fof(f6388,plain,
( ~ sQ42_spl
| ~ sQ344_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f4936,f264]) ).
fof(f6389,plain,
( ~ sQ71_spl
| ~ sQ391_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f6375,f362]) ).
fof(f6392,plain,
( ~ sQ387_spl
| ~ sQ98_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f453,f6211]) ).
fof(f6394,plain,
( ~ sQ381_spl
| ~ sQ98_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f453,f5982]) ).
fof(f6395,plain,
( ~ sQ375_spl
| ~ sQ98_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f453,f5836]) ).
fof(f6396,plain,
( ~ sQ374_spl
| ~ sQ98_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f453,f5831]) ).
fof(f6397,plain,
! [X0] :
( ~ sQ98_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f453,f63]) ).
fof(f6423,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ101_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f468,f1219]) ).
fof(f6424,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ101_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f468,f1220]) ).
fof(f6425,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ101_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f468,f3468]) ).
fof(f6426,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ101_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f468,f3469]) ).
fof(f6427,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ101_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f468,f944]) ).
fof(f6428,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ101_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f468,f943]) ).
fof(f6429,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f468,f95]) ).
fof(f6430,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f468,f93]) ).
fof(f6431,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f468,f91]) ).
fof(f6432,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f468,f102]) ).
fof(f6433,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f468,f101]) ).
fof(f6434,plain,
! [X0,X1,X2] :
( ~ sQ101_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f468,f100]) ).
fof(f6435,plain,
! [X0,X1,X2] :
( ~ sQ101_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f468,f98]) ).
fof(f6436,plain,
( ~ sQ36_spl
| ~ sQ101_spl
| sQ129_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f6423,f4044,f592,f467,f244]) ).
fof(f6437,plain,
( ~ sQ36_spl
| ~ sQ101_spl
| sQ127_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f6424,f4044,f572,f467,f244]) ).
fof(f6438,definition,
! [X0] :
( sQ392_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f6439,plain,
! [X0] :
( ~ sQ392_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f6438]) ).
fof(f6441,plain,
( ~ sQ71_spl
| ~ sQ101_spl
| sQ148_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f6425,f6438,f773,f467,f361]) ).
fof(f6442,plain,
( ~ sQ71_spl
| ~ sQ101_spl
| sQ130_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f6426,f6438,f596,f467,f361]) ).
fof(f6443,definition,
! [X0] :
( sQ393_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f6444,plain,
! [X0] :
( ~ sQ393_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f6443]) ).
fof(f6446,plain,
( ~ sQ6_spl
| ~ sQ101_spl
| sQ169_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f6427,f6443,f1010,f467,f143]) ).
fof(f6447,plain,
( ~ sQ6_spl
| ~ sQ101_spl
| sQ126_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f6428,f6443,f568,f467,f143]) ).
fof(f6448,definition,
! [X0] :
( sQ394_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f6449,plain,
! [X0] :
( ~ sQ394_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f6448]) ).
fof(f6451,plain,
( ~ sQ101_spl
| sQ133_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f6432,f6448,f620,f467]) ).
fof(f6452,plain,
( ~ sQ101_spl
| sQ132_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f6433,f6448,f616,f467]) ).
fof(f6453,plain,
( ~ sQ104_spl
| ~ sQ220_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f477,f2459]) ).
fof(f6454,plain,
( ~ sQ104_spl
| ~ sQ220_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f6453]) ).
fof(f6455,plain,
( ~ sQ49_spl
| ~ sQ312_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f4045,f286]) ).
fof(f6456,plain,
( ~ sQ49_spl
| ~ sQ392_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f6439,f286]) ).
fof(f6457,plain,
( ~ sQ49_spl
| ~ sQ393_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f6444,f286]) ).
fof(f6458,plain,
( ~ sQ49_spl
| ~ sQ394_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f6449,f286]) ).
fof(f6459,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ101_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f6434,f362]) ).
fof(f6460,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ101_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f6434,f245]) ).
fof(f6461,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ101_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f6434,f144]) ).
fof(f6462,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f6434,f96]) ).
fof(f6463,plain,
( ~ sQ71_spl
| ~ sQ101_spl
| sQ169_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f6459,f6438,f1010,f467,f361]) ).
fof(f6464,plain,
( ~ sQ36_spl
| ~ sQ101_spl
| sQ136_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f6460,f4044,f655,f467,f244]) ).
fof(f6465,plain,
( ~ sQ6_spl
| ~ sQ101_spl
| sQ168_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f6461,f6443,f1006,f467,f143]) ).
fof(f6466,plain,
( ~ sQ101_spl
| sQ137_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f6462,f6448,f662,f467]) ).
fof(f6470,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ25_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f210,f6160]) ).
fof(f6471,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ25_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f210,f6159]) ).
fof(f6472,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f210,f3704]) ).
fof(f6473,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f210,f3703]) ).
fof(f6474,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ25_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f210,f1636]) ).
fof(f6475,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ25_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f210,f1637]) ).
fof(f6476,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ25_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f210,f877]) ).
fof(f6477,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ25_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f210,f876]) ).
fof(f6485,plain,
( ~ sQ80_spl
| ~ sQ25_spl
| sQ166_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f6470,f5344,f979,f209,f395]) ).
fof(f6486,plain,
( ~ sQ80_spl
| ~ sQ25_spl
| sQ126_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f6471,f5344,f568,f209,f395]) ).
fof(f6487,definition,
! [X0] :
( sQ395_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f6488,plain,
! [X0] :
( ~ sQ395_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f6487]) ).
fof(f6490,plain,
( ~ sQ25_spl
| sQ161_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f6472,f6487,f920,f209]) ).
fof(f6491,plain,
( ~ sQ25_spl
| sQ139_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f6473,f6487,f684,f209]) ).
fof(f6492,plain,
( ~ sQ65_spl
| ~ sQ25_spl
| sQ132_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f6474,f2553,f616,f209,f342]) ).
fof(f6493,plain,
( ~ sQ65_spl
| ~ sQ25_spl
| sQ174_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f6475,f2553,f1056,f209,f342]) ).
fof(f6494,plain,
( ~ sQ10_spl
| ~ sQ25_spl
| sQ168_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f6476,f4878,f1006,f209,f156]) ).
fof(f6495,plain,
( ~ sQ10_spl
| ~ sQ25_spl
| sQ129_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f6477,f4878,f592,f209,f156]) ).
fof(f6501,plain,
( ~ sQ343_spl
| ~ sQ59_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f323,f4879]) ).
fof(f6504,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ59_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f323,f2130]) ).
fof(f6505,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ59_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f323,f2129]) ).
fof(f6506,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ59_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f323,f1001]) ).
fof(f6507,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ59_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f323,f1002]) ).
fof(f6508,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ59_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f323,f2370]) ).
fof(f6509,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ59_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f323,f2369]) ).
fof(f6519,plain,
( ~ sQ89_spl
| ~ sQ59_spl
| sQ157_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f6504,f4935,f863,f322,f423]) ).
fof(f6520,plain,
( ~ sQ89_spl
| ~ sQ59_spl
| sQ174_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f6505,f4935,f1056,f322,f423]) ).
fof(f6521,plain,
( ~ sQ49_spl
| ~ sQ59_spl
| sQ163_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f6506,f2795,f961,f322,f285]) ).
fof(f6522,plain,
( ~ sQ49_spl
| ~ sQ59_spl
| sQ152_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f6507,f2795,f817,f322,f285]) ).
fof(f6523,plain,
( ~ sQ119_spl
| ~ sQ59_spl
| sQ134_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f6508,f6374,f641,f322,f524]) ).
fof(f6524,plain,
( ~ sQ119_spl
| ~ sQ59_spl
| sQ166_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f6509,f6374,f979,f322,f524]) ).
fof(f6530,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f468,f6434]) ).
fof(f6544,definition,
! [X0] :
( sQ396_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f6545,plain,
! [X0] :
( ~ sQ396_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f6544]) ).
fof(f6547,plain,
( ~ sQ101_spl
| sQ139_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f6530,f6544,f684,f467]) ).
fof(f6556,plain,
( ~ sQ49_spl
| ~ greater(e_5,e_5) ),
inference(resolution,[status(thm)],[f995,f51]) ).
fof(f6557,plain,
( ~ sQ71_spl
| ~ greater(e_2,e_4) ),
inference(resolution,[status(thm)],[f1457,f50]) ).
fof(f6558,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ101_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f6435,f362]) ).
fof(f6559,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ101_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f6435,f245]) ).
fof(f6560,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f6435,f468]) ).
fof(f6561,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ101_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f6435,f144]) ).
fof(f6562,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f6435,f96]) ).
fof(f6563,plain,
( ~ sQ71_spl
| ~ sQ101_spl
| sQ134_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f6558,f6438,f641,f467,f361]) ).
fof(f6564,plain,
( ~ sQ36_spl
| ~ sQ101_spl
| sQ163_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f6559,f4044,f961,f467,f244]) ).
fof(f6565,plain,
( ~ sQ101_spl
| sQ172_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f6560,f6544,f1049,f467]) ).
fof(f6566,plain,
( ~ sQ6_spl
| ~ sQ101_spl
| sQ148_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f6561,f6443,f773,f467,f143]) ).
fof(f6567,plain,
( ~ sQ101_spl
| sQ135_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f6562,f6448,f648,f467]) ).
fof(f6568,plain,
( ~ sQ98_spl
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f1858,f49]) ).
fof(f6569,plain,
( ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6568,f59]) ).
fof(f6570,plain,
~ sQ98_spl,
inference(contradiction_clause,[status(thm)],[f6569]) ).
fof(f6571,plain,
( ~ sQ368_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f5634,f505,f5587]) ).
fof(f6572,plain,
! [X0] :
( ~ sQ396_spl
| ~ product(X0,e_1,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f6545]) ).
fof(f6573,plain,
! [X0] :
( ~ sQ395_spl
| ~ product(X0,e_4,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f6488]) ).
fof(f6574,plain,
! [X0] :
( ~ sQ383_spl
| ~ product(X0,e_1,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f6137]) ).
fof(f6575,plain,
! [X0] :
( ~ sQ382_spl
| ~ product(X0,e_1,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f6030]) ).
fof(f6576,plain,
! [X0] :
( ~ sQ380_spl
| ~ product(X0,e_1,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f5921]) ).
fof(f6577,plain,
( ~ sQ283_spl
| ~ sQ97_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f3191,f385,f449,f3009]) ).
fof(f6578,plain,
( ~ sQ303_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f3639,f96]) ).
fof(f6597,plain,
( ~ sQ74_spl
| ~ sQ396_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f371,f6572]) ).
fof(f6598,plain,
( ~ sQ74_spl
| ~ sQ396_spl ),
inference(contradiction_clause,[status(thm)],[f6597]) ).
fof(f6599,plain,
( ~ sQ46_spl
| ~ sQ380_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f277,f6576]) ).
fof(f6600,plain,
( ~ sQ46_spl
| ~ sQ380_spl ),
inference(contradiction_clause,[status(thm)],[f6599]) ).
fof(f6601,plain,
( ~ sQ68_spl
| ~ sQ351_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f352,f5517]) ).
fof(f6602,plain,
( ~ sQ68_spl
| ~ sQ351_spl ),
inference(contradiction_clause,[status(thm)],[f6601]) ).
fof(f6622,plain,
( ~ sQ15_spl
| ~ sQ230_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f1914,f173]) ).
fof(f6632,plain,
( ~ sQ313_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f4051,f96]) ).
fof(f6633,plain,
( ~ sQ295_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f3332,f96]) ).
fof(f6634,plain,
( ~ sQ294_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f3303,f96]) ).
fof(f6635,plain,
( ~ sQ386_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f6174,f96]) ).
fof(f6645,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2183,f96]) ).
fof(f6646,plain,
( ~ sQ84_spl
| sQ126_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f6645,f2190,f568,f407]) ).
fof(f6647,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2184,f96]) ).
fof(f6648,plain,
( ~ sQ84_spl
| sQ132_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f6647,f2190,f616,f407]) ).
fof(f6649,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ75_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f4218,f173]) ).
fof(f6651,definition,
! [X0] :
( sQ397_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f6652,plain,
! [X0] :
( ~ sQ397_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f6651]) ).
fof(f6654,plain,
( ~ sQ15_spl
| ~ sQ75_spl
| sQ132_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f6649,f6651,f616,f379,f172]) ).
fof(f6656,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ75_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f4217,f173]) ).
fof(f6658,plain,
( ~ sQ15_spl
| ~ sQ75_spl
| sQ137_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f6656,f6651,f662,f379,f172]) ).
fof(f6664,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5880,f96]) ).
fof(f6665,plain,
( ~ sQ103_spl
| sQ168_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f6664,f5899,f1006,f473]) ).
fof(f6666,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5881,f96]) ).
fof(f6667,plain,
( ~ sQ103_spl
| sQ163_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f6666,f5899,f961,f473]) ).
fof(f6681,plain,
( ~ sQ397_spl
| ~ sQ44_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f270,f6652]) ).
fof(f6682,plain,
( ~ sQ248_spl
| ~ sQ44_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f270,f2220]) ).
fof(f6683,plain,
( ~ sQ302_spl
| ~ sQ44_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f270,f3633]) ).
fof(f6684,plain,
( ~ sQ348_spl
| ~ sQ44_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f270,f5204]) ).
fof(f6685,plain,
( ~ sQ320_spl
| ~ sQ44_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f270,f4220]) ).
fof(f6686,plain,
( ~ sQ390_spl
| ~ sQ44_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f270,f6226]) ).
fof(f6687,plain,
( ~ sQ389_spl
| ~ sQ44_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f270,f6221]) ).
fof(f6688,plain,
( ~ sQ388_spl
| ~ sQ44_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f270,f6216]) ).
fof(f6689,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ44_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f270,f2184]) ).
fof(f6690,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ44_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f270,f2183]) ).
fof(f6702,plain,
( ~ sQ397_spl
| ~ sQ44_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f6681,f212,f269,f6651]) ).
fof(f6703,plain,
( ~ sQ84_spl
| ~ sQ44_spl
| sQ166_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f6689,f4072,f979,f269,f407]) ).
fof(f6704,plain,
( ~ sQ84_spl
| ~ sQ44_spl
| sQ141_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f6690,f4072,f700,f269,f407]) ).
fof(f6711,plain,
( ~ sQ248_spl
| ~ sQ44_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f6682,f221,f269,f2219]) ).
fof(f6712,plain,
( ~ sQ97_spl
| ~ sQ383_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f450,f6574]) ).
fof(f6713,plain,
( ~ sQ97_spl
| ~ sQ383_spl ),
inference(contradiction_clause,[status(thm)],[f6712]) ).
fof(f6719,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ51_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f298,f1070]) ).
fof(f6720,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ51_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f298,f1069]) ).
fof(f6726,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f298,f100]) ).
fof(f6727,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f298,f98]) ).
fof(f6730,definition,
! [X0] :
( sQ398_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f6731,plain,
! [X0] :
( ~ sQ398_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f6730]) ).
fof(f6733,plain,
( ~ sQ46_spl
| ~ sQ51_spl
| sQ152_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f6719,f6730,f817,f297,f276]) ).
fof(f6734,plain,
( ~ sQ46_spl
| ~ sQ51_spl
| sQ148_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f6720,f6730,f773,f297,f276]) ).
fof(f6737,plain,
( ~ sQ88_spl
| ~ sQ331_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f421,f5519]) ).
fof(f6738,plain,
( ~ sQ88_spl
| ~ sQ331_spl ),
inference(contradiction_clause,[status(thm)],[f6737]) ).
fof(f6741,plain,
( ~ sQ107_spl
| ~ sQ7_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f147,f5823]) ).
fof(f6743,plain,
( ~ sQ184_spl
| ~ sQ7_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f147,f1187]) ).
fof(f6744,plain,
( ~ sQ326_spl
| ~ sQ7_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f147,f4316]) ).
fof(f6745,plain,
( ~ sQ299_spl
| ~ sQ7_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f147,f3578]) ).
fof(f6746,plain,
( ~ sQ183_spl
| ~ sQ7_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f147,f1173]) ).
fof(f6747,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ7_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f147,f2424]) ).
fof(f6748,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ7_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f147,f2423]) ).
fof(f6749,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f147,f932]) ).
fof(f6750,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f147,f931]) ).
fof(f6751,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ7_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f147,f1901]) ).
fof(f6752,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ7_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f147,f1900]) ).
fof(f6760,plain,
( ~ sQ107_spl
| ~ sQ7_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f6741,f773,f146,f486]) ).
fof(f6761,plain,
( ~ sQ183_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6746,f96]) ).
fof(f6762,plain,
( ~ sQ183_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f6761]) ).
fof(f6763,plain,
( ~ sQ7_spl
| sQ139_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f6749,f969,f684,f146]) ).
fof(f6764,plain,
( ~ sQ7_spl
| sQ161_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f6750,f969,f920,f146]) ).
fof(f6765,plain,
( ~ sQ97_spl
| ~ sQ7_spl
| sQ132_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f6751,f1945,f616,f146,f449]) ).
fof(f6766,plain,
( ~ sQ97_spl
| ~ sQ7_spl
| sQ163_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f6752,f1945,f961,f146,f449]) ).
fof(f6769,plain,
( ~ sQ89_spl
| ~ sQ325_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f424,f4298]) ).
fof(f6770,plain,
( ~ sQ89_spl
| ~ sQ325_spl ),
inference(contradiction_clause,[status(thm)],[f6769]) ).
fof(f6771,plain,
( ~ sQ109_spl
| ~ sQ395_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f493,f6573]) ).
fof(f6772,plain,
( ~ sQ109_spl
| ~ sQ395_spl ),
inference(contradiction_clause,[status(thm)],[f6771]) ).
fof(f6775,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f166,f811]) ).
fof(f6776,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f166,f812]) ).
fof(f6777,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ13_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f166,f1543]) ).
fof(f6778,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ13_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f166,f1544]) ).
fof(f6786,plain,
( ~ sQ13_spl
| sQ154_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f6775,f887,f838,f165]) ).
fof(f6787,plain,
( ~ sQ13_spl
| sQ139_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f6776,f887,f684,f165]) ).
fof(f6788,plain,
( ~ sQ68_spl
| ~ sQ13_spl
| sQ157_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f6777,f1607,f863,f165,f351]) ).
fof(f6789,plain,
( ~ sQ68_spl
| ~ sQ13_spl
| sQ129_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f6778,f1607,f592,f165,f351]) ).
fof(f6794,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f408,f2184]) ).
fof(f6795,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f408,f2183]) ).
fof(f6798,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ84_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f408,f1406]) ).
fof(f6799,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ84_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f408,f1405]) ).
fof(f6800,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f408,f95]) ).
fof(f6807,plain,
( ~ sQ84_spl
| sQ146_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f6794,f5271,f758,f407]) ).
fof(f6808,plain,
( ~ sQ84_spl
| sQ161_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f6795,f5271,f920,f407]) ).
fof(f6811,definition,
! [X0] :
( sQ399_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f6812,plain,
! [X0] :
( ~ sQ399_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f6811]) ).
fof(f6814,plain,
( ~ sQ74_spl
| ~ sQ84_spl
| sQ144_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f6798,f6811,f727,f407,f370]) ).
fof(f6815,plain,
( ~ sQ74_spl
| ~ sQ84_spl
| sQ163_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f6799,f6811,f961,f407,f370]) ).
fof(f6821,plain,
( ~ sQ360_spl
| ~ sQ74_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f371,f5457]) ).
fof(f6822,plain,
( ~ sQ312_spl
| ~ sQ74_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f371,f4045]) ).
fof(f6823,plain,
( ~ sQ392_spl
| ~ sQ74_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f371,f6439]) ).
fof(f6824,plain,
( ~ sQ393_spl
| ~ sQ74_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f371,f6444]) ).
fof(f6825,plain,
( ~ sQ394_spl
| ~ sQ74_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f371,f6449]) ).
fof(f6826,plain,
( ~ sQ362_spl
| ~ sQ74_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f371,f5467]) ).
fof(f6827,plain,
( ~ sQ379_spl
| ~ sQ74_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f371,f5900]) ).
fof(f6828,plain,
( ~ sQ378_spl
| ~ sQ74_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f371,f5895]) ).
fof(f6829,plain,
( ~ sQ361_spl
| ~ sQ74_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f371,f5462]) ).
fof(f6830,plain,
! [X0] :
( ~ sQ74_spl
| ~ greater(e_5,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f371,f63]) ).
fof(f6831,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ74_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f371,f2184]) ).
fof(f6832,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ74_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f371,f2183]) ).
fof(f6844,plain,
( ~ sQ360_spl
| ~ sQ74_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f6821,f351,f370,f5456]) ).
fof(f6845,plain,
( ~ sQ362_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6826,f96]) ).
fof(f6846,plain,
( ~ sQ362_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f6845]) ).
fof(f6847,plain,
( ~ sQ361_spl
| ~ sQ74_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f6829,f294,f370,f5461]) ).
fof(f6854,plain,
( ~ sQ117_spl
| ~ sQ346_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f519,f5518]) ).
fof(f6855,plain,
( ~ sQ117_spl
| ~ sQ346_spl ),
inference(contradiction_clause,[status(thm)],[f6854]) ).
fof(f6856,plain,
( ~ sQ117_spl
| ~ sQ7_spl
| sQ148_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f6747,f4760,f773,f146,f518]) ).
fof(f6857,plain,
( ~ sQ117_spl
| ~ sQ7_spl
| sQ166_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f6748,f4760,f979,f146,f518]) ).
fof(f6858,plain,
( ~ sQ285_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f3021,f96]) ).
fof(f6859,plain,
( ~ sQ291_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f3120,f96]) ).
fof(f6860,plain,
( ~ sQ13_spl
| ~ sQ356_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f5418,f166]) ).
fof(f6861,plain,
( ~ sQ13_spl
| ~ sQ277_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f2796,f166]) ).
fof(f6864,plain,
( ~ sQ357_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f5423,f96]) ).
fof(f6865,plain,
( ~ sQ15_spl
| ~ sQ232_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f1946,f173]) ).
fof(f6866,plain,
( ~ sQ288_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f3064,f96]) ).
fof(f6867,plain,
( ~ sQ44_spl
| ~ sQ301_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f3628,f270]) ).
fof(f6868,plain,
( ~ sQ74_spl
| ~ sQ377_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f5890,f371]) ).
fof(f6869,plain,
( ~ sQ15_spl
| ~ sQ286_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f3053,f173]) ).
fof(f6878,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ77_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f6208,f147]) ).
fof(f6880,plain,
( ~ sQ7_spl
| ~ sQ77_spl
| sQ168_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f6878,f5203,f1006,f385,f146]) ).
fof(f6882,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ77_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f6209,f147]) ).
fof(f6884,plain,
( ~ sQ7_spl
| ~ sQ77_spl
| sQ132_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f6882,f5203,f616,f385,f146]) ).
fof(f6890,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f5413,f96]) ).
fof(f6891,plain,
( ~ sQ56_spl
| sQ141_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f6890,f5422,f700,f313]) ).
fof(f6892,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f5414,f96]) ).
fof(f6893,plain,
( ~ sQ56_spl
| sQ144_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f6892,f5422,f727,f313]) ).
fof(f6894,plain,
( ~ sQ15_spl
| ~ sQ268_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f2564,f173]) ).
fof(f6895,plain,
( ~ sQ269_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f2570,f96]) ).
fof(f6896,plain,
( ~ sQ7_spl
| ~ sQ304_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f3707,f147]) ).
fof(f6897,plain,
( ~ sQ44_spl
| ~ sQ336_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f4700,f270]) ).
fof(f6898,plain,
( ~ sQ74_spl
| ~ sQ358_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f5447,f371]) ).
fof(f6900,plain,
( ~ sQ15_spl
| ~ sQ243_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f2161,f173]) ).
fof(f6901,plain,
( ~ sQ282_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f2925,f96]) ).
fof(f6910,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ80_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f6159,f173]) ).
fof(f6912,definition,
! [X0] :
( sQ400_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition]) ).
fof(f6913,plain,
! [X0] :
( ~ sQ400_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f6912]) ).
fof(f6915,plain,
( ~ sQ15_spl
| ~ sQ80_spl
| sQ141_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f6910,f6912,f700,f395,f172]) ).
fof(f6917,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ80_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f6160,f173]) ).
fof(f6919,plain,
( ~ sQ15_spl
| ~ sQ80_spl
| sQ132_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f6917,f6912,f616,f395,f172]) ).
fof(f6925,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ103_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5880,f166]) ).
fof(f6927,definition,
! [X0] :
( sQ401_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition]) ).
fof(f6928,plain,
! [X0] :
( ~ sQ401_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f6927]) ).
fof(f6930,plain,
( ~ sQ13_spl
| ~ sQ103_spl
| sQ136_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f6925,f6927,f655,f473,f165]) ).
fof(f6932,plain,
( ~ sQ74_spl
| ~ sQ401_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f6928,f371]) ).
fof(f6933,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ103_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5881,f166]) ).
fof(f6935,plain,
( ~ sQ13_spl
| ~ sQ103_spl
| sQ148_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f6933,f6927,f773,f473,f165]) ).
fof(f6937,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ47_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1042,f147]) ).
fof(f6939,plain,
( ~ sQ7_spl
| ~ sQ47_spl
| sQ163_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f6937,f4106,f961,f279,f146]) ).
fof(f6941,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ47_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1043,f147]) ).
fof(f6943,plain,
( ~ sQ7_spl
| ~ sQ47_spl
| sQ126_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f6941,f4106,f568,f279,f146]) ).
fof(f6960,plain,
( ~ sQ400_spl
| ~ sQ68_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f352,f6913]) ).
fof(f6961,plain,
( ~ sQ399_spl
| ~ sQ68_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f352,f6812]) ).
fof(f6962,plain,
( ~ sQ353_spl
| ~ sQ68_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f352,f5345]) ).
fof(f6964,plain,
( ~ sQ384_spl
| ~ sQ68_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f352,f6164]) ).
fof(f6965,plain,
( ~ sQ385_spl
| ~ sQ68_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f352,f6169]) ).
fof(f6966,plain,
( ~ sQ316_spl
| ~ sQ68_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f352,f4083]) ).
fof(f6967,plain,
( ~ sQ315_spl
| ~ sQ68_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f352,f4078]) ).
fof(f6968,plain,
( ~ sQ314_spl
| ~ sQ68_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f352,f4073]) ).
fof(f6969,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ68_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f352,f5881]) ).
fof(f6970,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ68_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f352,f5880]) ).
fof(f6982,plain,
( ~ sQ316_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6966,f96]) ).
fof(f6983,plain,
( ~ sQ316_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f6982]) ).
fof(f6984,plain,
( ~ sQ315_spl
| ~ sQ68_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f6967,f294,f351,f4077]) ).
fof(f6985,plain,
( ~ sQ314_spl
| ~ sQ68_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f6968,f313,f351,f4072]) ).
fof(f6986,definition,
! [X0] :
( sQ402_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition]) ).
fof(f6987,plain,
! [X0] :
( ~ sQ402_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f6986]) ).
fof(f6989,plain,
( ~ sQ103_spl
| ~ sQ68_spl
| sQ134_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f6969,f6986,f641,f351,f473]) ).
fof(f6990,plain,
( ~ sQ103_spl
| ~ sQ68_spl
| sQ137_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f6970,f6986,f662,f351,f473]) ).
fof(f6998,plain,
( ~ sQ77_spl
| ~ sQ97_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f450,f6204]) ).
fof(f7001,plain,
( ~ sQ363_spl
| ~ sQ97_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f450,f5492]) ).
fof(f7002,plain,
( ~ sQ323_spl
| ~ sQ97_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f450,f4263]) ).
fof(f7003,plain,
( ~ sQ376_spl
| ~ sQ97_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f450,f5885]) ).
fof(f7004,plain,
( ~ sQ366_spl
| ~ sQ97_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f450,f5507]) ).
fof(f7005,plain,
( ~ sQ297_spl
| ~ sQ97_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f450,f3414]) ).
fof(f7007,plain,
( ~ sQ298_spl
| ~ sQ97_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f450,f3419]) ).
fof(f7008,plain,
( ~ sQ367_spl
| ~ sQ97_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f450,f5513]) ).
fof(f7009,plain,
( ~ sQ365_spl
| ~ sQ97_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f450,f5502]) ).
fof(f7012,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ97_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f450,f1042]) ).
fof(f7013,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ97_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f450,f2424]) ).
fof(f7014,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ97_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f450,f2423]) ).
fof(f7015,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ97_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f450,f6209]) ).
fof(f7016,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ97_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f450,f6208]) ).
fof(f7017,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ97_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f450,f932]) ).
fof(f7018,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ97_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f450,f931]) ).
fof(f7028,plain,
( ~ sQ77_spl
| ~ sQ97_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f6998,f1010,f449,f385]) ).
fof(f7029,plain,
( ~ sQ323_spl
| ~ sQ97_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f7002,f423,f449,f4262]) ).
fof(f7030,plain,
( ~ sQ298_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7007,f96]) ).
fof(f7031,plain,
( ~ sQ298_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f7030]) ).
fof(f7033,plain,
( ~ sQ47_spl
| ~ sQ97_spl
| sQ172_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f7012,f1950,f1049,f449,f279]) ).
fof(f7034,plain,
( ~ sQ7_spl
| ~ sQ97_spl
| sQ137_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f7017,f1945,f662,f449,f146]) ).
fof(f7035,plain,
( ~ sQ7_spl
| ~ sQ97_spl
| sQ127_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f7018,f1945,f572,f449,f146]) ).
fof(f7040,plain,
( ~ sQ119_spl
| ~ sQ388_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f6230,f483,f6215,f524]) ).
fof(f7041,plain,
( ~ sQ23_spl
| ~ sQ382_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f198,f6575]) ).
fof(f7042,plain,
( ~ sQ23_spl
| ~ sQ382_spl ),
inference(contradiction_clause,[status(thm)],[f7041]) ).
fof(f7043,plain,
( ~ sQ58_spl
| ~ sQ379_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f320,f6827]) ).
fof(f7044,plain,
( ~ sQ58_spl
| ~ sQ379_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f7043]) ).
fof(f7045,plain,
( ~ sQ84_spl
| ~ sQ74_spl
| sQ157_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f6831,f6811,f863,f370,f407]) ).
fof(f7046,plain,
( ~ sQ84_spl
| ~ sQ74_spl
| sQ127_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f6832,f6811,f572,f370,f407]) ).
fof(f7047,plain,
( ~ sQ74_spl
| ~ sQ402_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f6987,f371]) ).
fof(f7050,plain,
( ~ sQ151_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f814,f96]) ).
fof(f7051,plain,
( ~ sQ68_spl
| ~ sQ246_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f2191,f352]) ).
fof(f7052,plain,
( ~ sQ68_spl
| ~ sQ314_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f4073,f352]) ).
fof(f7054,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ119_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2369,f270]) ).
fof(f7057,plain,
( ~ sQ44_spl
| ~ sQ119_spl
| sQ146_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f7054,f4120,f758,f524,f269]) ).
fof(f7065,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ113_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2469,f352]) ).
fof(f7067,definition,
! [X0] :
( sQ403_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition]) ).
fof(f7068,plain,
! [X0] :
( ~ sQ403_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f7067]) ).
fof(f7070,plain,
( ~ sQ68_spl
| ~ sQ113_spl
| sQ144_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f7065,f7067,f727,f505,f351]) ).
fof(f7072,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ113_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2470,f352]) ).
fof(f7074,plain,
( ~ sQ68_spl
| ~ sQ113_spl
| sQ134_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f7072,f7067,f641,f505,f351]) ).
fof(f7076,plain,
( ~ sQ339_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f4735,f96]) ).
fof(f7077,plain,
( ~ sQ97_spl
| ~ sQ403_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f7068,f450]) ).
fof(f7107,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ109_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2505,f270]) ).
fof(f7110,plain,
( ~ sQ44_spl
| ~ sQ109_spl
| sQ163_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f7107,f5981,f961,f492,f269]) ).
fof(f7113,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ109_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2504,f270]) ).
fof(f7116,plain,
( ~ sQ44_spl
| ~ sQ109_spl
| sQ141_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f7113,f5981,f700,f492,f269]) ).
fof(f7118,plain,
( ~ sQ44_spl
| ~ sQ119_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2364,f270]) ).
fof(f7119,plain,
( ~ sQ44_spl
| ~ sQ119_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f7118,f961,f524,f269]) ).
fof(f7120,plain,
( ~ sQ241_spl
| ~ sQ117_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f2415,f476,f518,f2136]) ).
fof(f7121,plain,
( ~ sQ117_spl
| ~ sQ97_spl
| sQ135_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f7013,f2403,f648,f449,f518]) ).
fof(f7122,plain,
( ~ sQ117_spl
| ~ sQ97_spl
| sQ133_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f7014,f2403,f620,f449,f518]) ).
fof(f7123,plain,
( ~ sQ49_spl
| ~ sQ392_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f6456,f241,f6438,f285]) ).
fof(f7136,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3994,f96]) ).
fof(f7137,plain,
( ~ sQ106_spl
| sQ135_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f7136,f4002,f648,f483]) ).
fof(f7138,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3993,f96]) ).
fof(f7139,plain,
( ~ sQ106_spl
| sQ141_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f7138,f4002,f700,f483]) ).
fof(f7140,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ23_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f564,f352]) ).
fof(f7142,plain,
( ~ sQ68_spl
| ~ sQ23_spl
| sQ136_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f7140,f1569,f655,f197,f351]) ).
fof(f7144,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ23_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f563,f352]) ).
fof(f7146,plain,
( ~ sQ68_spl
| ~ sQ23_spl
| sQ135_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f7144,f1569,f648,f197,f351]) ).
fof(f7150,plain,
( ~ sQ202_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f1488,f96]) ).
fof(f7152,plain,
( ~ sQ15_spl
| ~ sQ228_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1904,f173]) ).
fof(f7158,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ42_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1124,f147]) ).
fof(f7161,definition,
! [X0] :
( sQ404_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition]) ).
fof(f7162,plain,
! [X0] :
( ~ sQ404_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f7161]) ).
fof(f7164,plain,
( ~ sQ7_spl
| ~ sQ42_spl
| sQ166_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f7158,f7161,f979,f263,f146]) ).
fof(f7167,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ42_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1125,f147]) ).
fof(f7170,plain,
( ~ sQ7_spl
| ~ sQ42_spl
| sQ126_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f7167,f7161,f568,f263,f146]) ).
fof(f7180,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ102_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5442,f450]) ).
fof(f7181,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ102_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5442,f147]) ).
fof(f7182,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5442,f96]) ).
fof(f7183,definition,
! [X0] :
( sQ405_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).
fof(f7184,plain,
! [X0] :
( ~ sQ405_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f7183]) ).
fof(f7186,plain,
( ~ sQ97_spl
| ~ sQ102_spl
| sQ169_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f7180,f7183,f1010,f470,f449]) ).
fof(f7187,plain,
( ~ sQ7_spl
| ~ sQ102_spl
| sQ168_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f7181,f6443,f1006,f470,f146]) ).
fof(f7188,plain,
( ~ sQ102_spl
| sQ136_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f7182,f5466,f655,f470]) ).
fof(f7189,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ102_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5443,f450]) ).
fof(f7190,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ102_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5443,f147]) ).
fof(f7191,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5443,f96]) ).
fof(f7192,plain,
( ~ sQ97_spl
| ~ sQ102_spl
| sQ135_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f7189,f7183,f648,f470,f449]) ).
fof(f7193,plain,
( ~ sQ7_spl
| ~ sQ102_spl
| sQ148_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f7190,f6443,f773,f470,f146]) ).
fof(f7194,plain,
( ~ sQ102_spl
| sQ134_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f7191,f5466,f641,f470]) ).
fof(f7200,plain,
( ~ sQ330_spl
| ~ sQ35_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f242,f4532]) ).
fof(f7202,plain,
( ~ sQ201_spl
| ~ sQ35_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f242,f1483]) ).
fof(f7203,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ35_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f242,f6160]) ).
fof(f7204,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ35_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f242,f6159]) ).
fof(f7216,definition,
! [X0] :
( sQ406_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ406_spl])],[split_symbol_definition]) ).
fof(f7217,plain,
! [X0] :
( ~ sQ406_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f7216]) ).
fof(f7219,plain,
( ~ sQ80_spl
| ~ sQ35_spl
| sQ166_spl
| sQ406_spl ),
inference(split_clause,[status(thm)],[f7203,f7216,f979,f241,f395]) ).
fof(f7220,plain,
( ~ sQ80_spl
| ~ sQ35_spl
| sQ152_spl
| sQ406_spl ),
inference(split_clause,[status(thm)],[f7204,f7216,f817,f241,f395]) ).
fof(f7227,plain,
( ~ sQ68_spl
| ~ sQ406_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f7217,f352]) ).
fof(f7228,plain,
( ~ sQ155_spl
| ~ sQ50_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f295,f855]) ).
fof(f7230,plain,
( ~ sQ142_spl
| ~ sQ50_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f295,f719]) ).
fof(f7231,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ50_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f295,f6160]) ).
fof(f7232,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ50_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f295,f6159]) ).
fof(f7233,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ50_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f295,f3232]) ).
fof(f7234,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ50_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f295,f3233]) ).
fof(f7235,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ50_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f295,f769]) ).
fof(f7236,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ50_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f295,f768]) ).
fof(f7237,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f295,f95]) ).
fof(f7238,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f295,f93]) ).
fof(f7239,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f295,f91]) ).
fof(f7240,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f295,f102]) ).
fof(f7241,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f295,f101]) ).
fof(f7242,plain,
! [X0,X1,X2] :
( ~ sQ50_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f295,f100]) ).
fof(f7243,plain,
! [X0,X1,X2] :
( ~ sQ50_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f295,f98]) ).
fof(f7244,definition,
! [X0] :
( sQ407_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition]) ).
fof(f7245,plain,
! [X0] :
( ~ sQ407_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f7244]) ).
fof(f7247,plain,
( ~ sQ80_spl
| ~ sQ50_spl
| sQ157_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f7231,f7244,f863,f294,f395]) ).
fof(f7248,plain,
( ~ sQ80_spl
| ~ sQ50_spl
| sQ126_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f7232,f7244,f568,f294,f395]) ).
fof(f7249,plain,
( ~ sQ35_spl
| ~ sQ50_spl
| sQ129_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f7233,f2662,f592,f294,f241]) ).
fof(f7250,plain,
( ~ sQ35_spl
| ~ sQ50_spl
| sQ152_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f7234,f2662,f817,f294,f241]) ).
fof(f7251,plain,
( ~ sQ15_spl
| ~ sQ50_spl
| sQ136_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f7235,f4367,f655,f294,f172]) ).
fof(f7252,plain,
( ~ sQ15_spl
| ~ sQ50_spl
| sQ132_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f7236,f4367,f616,f294,f172]) ).
fof(f7253,definition,
! [X0] :
( sQ408_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition]) ).
fof(f7254,plain,
! [X0] :
( ~ sQ408_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f7253]) ).
fof(f7256,plain,
( ~ sQ50_spl
| sQ134_spl
| sQ408_spl ),
inference(split_clause,[status(thm)],[f7240,f7253,f641,f294]) ).
fof(f7257,plain,
( ~ sQ50_spl
| sQ148_spl
| sQ408_spl ),
inference(split_clause,[status(thm)],[f7241,f7253,f773,f294]) ).
fof(f7261,plain,
( ~ sQ408_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f7254,f96]) ).
fof(f7262,plain,
( ~ sQ68_spl
| ~ sQ407_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f7245,f352]) ).
fof(f7263,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ50_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f7242,f242]) ).
fof(f7264,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f7242,f295]) ).
fof(f7265,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ50_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f7242,f173]) ).
fof(f7266,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f7242,f96]) ).
fof(f7267,plain,
( ~ sQ35_spl
| ~ sQ50_spl
| sQ136_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f7263,f2662,f655,f294,f241]) ).
fof(f7268,plain,
( ~ sQ50_spl
| sQ139_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f7264,f4292,f684,f294]) ).
fof(f7269,plain,
( ~ sQ15_spl
| ~ sQ50_spl
| sQ137_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f7265,f4367,f662,f294,f172]) ).
fof(f7270,plain,
( ~ sQ50_spl
| sQ169_spl
| sQ408_spl ),
inference(split_clause,[status(thm)],[f7266,f7253,f1010,f294]) ).
fof(f7271,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ50_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f7243,f242]) ).
fof(f7272,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f7243,f295]) ).
fof(f7273,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ50_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f7243,f173]) ).
fof(f7274,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f7243,f96]) ).
fof(f7275,plain,
( ~ sQ35_spl
| ~ sQ50_spl
| sQ174_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f7271,f2662,f1056,f294,f241]) ).
fof(f7276,plain,
( ~ sQ50_spl
| sQ154_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f7272,f4292,f838,f294]) ).
fof(f7277,plain,
( ~ sQ15_spl
| ~ sQ50_spl
| sQ129_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f7273,f4367,f592,f294,f172]) ).
fof(f7278,plain,
( ~ sQ50_spl
| sQ130_spl
| sQ408_spl ),
inference(split_clause,[status(thm)],[f7274,f7253,f596,f294]) ).
fof(f7282,plain,
( ~ sQ322_spl
| ~ sQ89_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f424,f4241]) ).
fof(f7283,plain,
( ~ sQ327_spl
| ~ sQ89_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f424,f4368]) ).
fof(f7284,plain,
( ~ sQ271_spl
| ~ sQ89_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f424,f2663]) ).
fof(f7285,plain,
( ~ sQ328_spl
| ~ sQ89_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f424,f4387]) ).
fof(f7286,plain,
( ~ sQ287_spl
| ~ sQ89_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f424,f3058]) ).
fof(f7287,plain,
( ~ sQ270_spl
| ~ sQ89_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f424,f2658]) ).
fof(f7288,plain,
( ~ sQ221_spl
| ~ sQ89_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f424,f1758]) ).
fof(f7289,plain,
( ~ sQ398_spl
| ~ sQ89_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f424,f6731]) ).
fof(f7303,plain,
( ~ sQ270_spl
| ~ sQ89_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f7287,f388,f423,f2657]) ).
fof(f7304,plain,
( ~ sQ398_spl
| ~ sQ89_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f7289,f395,f423,f6730]) ).
fof(f7316,plain,
( ~ sQ277_spl
| ~ sQ113_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f506,f2796]) ).
fof(f7317,plain,
( ~ sQ356_spl
| ~ sQ113_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f506,f5418]) ).
fof(f7318,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ113_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f506,f563]) ).
fof(f7319,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ113_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f506,f564]) ).
fof(f7322,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ113_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f506,f1543]) ).
fof(f7323,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ113_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f506,f1544]) ).
fof(f7331,plain,
( ~ sQ356_spl
| ~ sQ113_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f7317,f470,f505,f5417]) ).
fof(f7332,plain,
( ~ sQ23_spl
| ~ sQ113_spl
| sQ134_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f7318,f5506,f641,f505,f197]) ).
fof(f7333,plain,
( ~ sQ23_spl
| ~ sQ113_spl
| sQ169_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f7319,f5506,f1010,f505,f197]) ).
fof(f7336,plain,
( ~ sQ68_spl
| ~ sQ113_spl
| sQ157_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f7322,f7067,f863,f505,f351]) ).
fof(f7337,plain,
( ~ sQ68_spl
| ~ sQ113_spl
| sQ130_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f7323,f7067,f596,f505,f351]) ).
fof(f7340,plain,
( ~ sQ78_spl
| ~ sQ297_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f7005]) ).
fof(f7341,plain,
( ~ sQ78_spl
| ~ sQ297_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f7340]) ).
fof(f7342,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ26_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f213,f3468]) ).
fof(f7343,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ26_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f213,f3469]) ).
fof(f7344,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ26_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f213,f3993]) ).
fof(f7345,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ26_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f213,f3994]) ).
fof(f7346,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ26_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f213,f3873]) ).
fof(f7347,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ26_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f213,f3874]) ).
fof(f7348,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f213,f95]) ).
fof(f7349,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f213,f93]) ).
fof(f7350,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f213,f91]) ).
fof(f7351,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f213,f102]) ).
fof(f7352,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f213,f101]) ).
fof(f7353,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f213,f100]) ).
fof(f7354,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f213,f98]) ).
fof(f7355,definition,
! [X0] :
( sQ409_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition]) ).
fof(f7356,plain,
! [X0] :
( ~ sQ409_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f7355]) ).
fof(f7358,plain,
( ~ sQ71_spl
| ~ sQ26_spl
| sQ148_spl
| sQ409_spl ),
inference(split_clause,[status(thm)],[f7342,f7355,f773,f212,f361]) ).
fof(f7359,plain,
( ~ sQ71_spl
| ~ sQ26_spl
| sQ174_spl
| sQ409_spl ),
inference(split_clause,[status(thm)],[f7343,f7355,f1056,f212,f361]) ).
fof(f7360,plain,
( ~ sQ106_spl
| ~ sQ26_spl
| sQ126_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f7344,f4723,f568,f212,f483]) ).
fof(f7361,plain,
( ~ sQ106_spl
| ~ sQ26_spl
| sQ163_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f7345,f4723,f961,f212,f483]) ).
fof(f7362,plain,
( ~ sQ11_spl
| ~ sQ26_spl
| sQ129_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f7346,f4878,f592,f212,f159]) ).
fof(f7363,plain,
( ~ sQ11_spl
| ~ sQ26_spl
| sQ168_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f7347,f4878,f1006,f212,f159]) ).
fof(f7364,definition,
! [X0] :
( sQ410_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).
fof(f7365,plain,
! [X0] :
( ~ sQ410_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f7364]) ).
fof(f7367,plain,
( ~ sQ26_spl
| sQ166_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f7351,f7364,f979,f212]) ).
fof(f7368,plain,
( ~ sQ26_spl
| sQ132_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f7352,f7364,f616,f212]) ).
fof(f7369,plain,
( ~ sQ35_spl
| ~ sQ409_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f7356,f242]) ).
fof(f7370,plain,
( ~ sQ410_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f7365,f96]) ).
fof(f7371,plain,
( ~ sQ131_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f614,f96]) ).
fof(f7373,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f7353,f213]) ).
fof(f7374,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f7353,f96]) ).
fof(f7375,plain,
( ~ sQ26_spl
| sQ139_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f7373,f6487,f684,f212]) ).
fof(f7376,plain,
( ~ sQ26_spl
| sQ137_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f7374,f7364,f662,f212]) ).
fof(f7377,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f7354,f213]) ).
fof(f7378,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f7354,f96]) ).
fof(f7379,plain,
( ~ sQ26_spl
| sQ161_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f7377,f6487,f920,f212]) ).
fof(f7380,plain,
( ~ sQ26_spl
| sQ141_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f7378,f7364,f700,f212]) ).
fof(f7395,plain,
( ~ sQ97_spl
| ~ sQ283_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f3010,f450]) ).
fof(f7396,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ13_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f811,f506]) ).
fof(f7399,plain,
( ~ sQ113_spl
| ~ sQ13_spl
| sQ154_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f7396,f3009,f838,f165,f505]) ).
fof(f7402,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ21_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f612,f213]) ).
fof(f7404,plain,
( ~ sQ26_spl
| ~ sQ21_spl
| sQ168_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f7402,f5349,f1006,f191,f212]) ).
fof(f7406,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ21_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f611,f213]) ).
fof(f7408,plain,
( ~ sQ26_spl
| ~ sQ21_spl
| sQ148_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f7406,f5349,f773,f191,f212]) ).
fof(f7413,plain,
( ~ sQ113_spl
| ~ sQ13_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f806,f506]) ).
fof(f7414,plain,
( ~ sQ113_spl
| ~ sQ13_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f7413,f1010,f165,f505]) ).
fof(f7415,plain,
( ~ sQ75_spl
| ~ sQ366_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f380,f7004]) ).
fof(f7416,plain,
( ~ sQ75_spl
| ~ sQ366_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f7415]) ).
fof(f7417,plain,
( ~ sQ302_spl
| ~ sQ44_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f6683,f215,f269,f3632]) ).
fof(f7418,plain,
( ~ sQ83_spl
| ~ sQ263_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f405,f3195]) ).
fof(f7419,plain,
( ~ sQ83_spl
| ~ sQ263_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f7418]) ).
fof(f7444,plain,
( ~ sQ97_spl
| ~ sQ261_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f2472,f450]) ).
fof(f7446,plain,
( ~ sQ187_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1223,f96]) ).
fof(f7469,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ27_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f5338,f450]) ).
fof(f7471,plain,
( ~ sQ97_spl
| ~ sQ27_spl
| sQ141_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f7469,f2563,f700,f215,f449]) ).
fof(f7473,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ27_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f5337,f450]) ).
fof(f7475,plain,
( ~ sQ97_spl
| ~ sQ27_spl
| sQ169_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f7473,f2563,f1010,f215,f449]) ).
fof(f7477,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ73_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1419,f506]) ).
fof(f7479,plain,
( ~ sQ113_spl
| ~ sQ73_spl
| sQ130_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f7477,f3408,f596,f367,f505]) ).
fof(f7481,plain,
( ~ sQ97_spl
| ~ sQ296_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f3409,f450]) ).
fof(f7482,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ73_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1418,f506]) ).
fof(f7484,plain,
( ~ sQ113_spl
| ~ sQ73_spl
| sQ134_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f7482,f3408,f641,f367,f505]) ).
fof(f7510,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ88_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2153,f506]) ).
fof(f7512,definition,
! [X0] :
( sQ411_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).
fof(f7513,plain,
! [X0] :
( ~ sQ411_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f7512]) ).
fof(f7515,plain,
( ~ sQ113_spl
| ~ sQ88_spl
| sQ133_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f7510,f7512,f620,f420,f505]) ).
fof(f7517,plain,
( ~ sQ97_spl
| ~ sQ411_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f7513,f450]) ).
fof(f7518,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ88_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2152,f506]) ).
fof(f7520,plain,
( ~ sQ113_spl
| ~ sQ88_spl
| sQ154_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f7518,f7512,f838,f420,f505]) ).
fof(f7525,plain,
( ~ sQ203_spl
| ~ sQ10_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f157,f1511]) ).
fof(f7526,plain,
( ~ sQ195_spl
| ~ sQ10_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f157,f1421]) ).
fof(f7527,plain,
( ~ sQ409_spl
| ~ sQ10_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f157,f7356]) ).
fof(f7528,plain,
( ~ sQ272_spl
| ~ sQ10_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f157,f2668]) ).
fof(f7529,plain,
( ~ sQ330_spl
| ~ sQ10_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f157,f4532]) ).
fof(f7530,plain,
( ~ sQ206_spl
| ~ sQ10_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f157,f1547]) ).
fof(f7531,plain,
( ~ sQ201_spl
| ~ sQ10_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f157,f1483]) ).
fof(f7549,plain,
( ~ sQ97_spl
| ~ sQ47_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1037,f450]) ).
fof(f7550,plain,
( ~ sQ97_spl
| ~ sQ47_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f7549,f700,f279,f449]) ).
fof(f7551,plain,
( ~ sQ353_spl
| ~ sQ68_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f6962,f322,f351,f5344]) ).
fof(f7552,plain,
( ~ sQ84_spl
| ~ sQ363_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f408,f7001]) ).
fof(f7553,plain,
( ~ sQ84_spl
| ~ sQ363_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f7552]) ).
fof(f7554,plain,
( ~ sQ114_spl
| ~ sQ408_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f509,f7261]) ).
fof(f7555,plain,
( ~ sQ114_spl
| ~ sQ408_spl ),
inference(contradiction_clause,[status(thm)],[f7554]) ).
fof(f7556,plain,
( ~ sQ410_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f7370,f407,f7364]) ).
fof(f7571,plain,
( ~ sQ202_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f1488,f96]) ).
fof(f7574,plain,
( ~ sQ97_spl
| ~ sQ263_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f2482,f450]) ).
fof(f7576,plain,
( ~ sQ156_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f860,f96]) ).
fof(f7637,plain,
( ~ sQ184_spl
| ~ sQ7_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f147,f1187]) ).
fof(f7639,plain,
( ~ sQ299_spl
| ~ sQ7_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f147,f3578]) ).
fof(f7665,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ78_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f389,f563]) ).
fof(f7666,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ78_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f389,f564]) ).
fof(f7667,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ78_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f389,f2470]) ).
fof(f7668,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ78_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f389,f2469]) ).
fof(f7669,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ78_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f389,f1543]) ).
fof(f7670,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ78_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f389,f1544]) ).
fof(f7671,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f389,f95]) ).
fof(f7672,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f389,f93]) ).
fof(f7673,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_4,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f389,f91]) ).
fof(f7674,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f389,f102]) ).
fof(f7675,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f389,f101]) ).
fof(f7676,plain,
! [X0,X1,X2] :
( ~ sQ78_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f389,f100]) ).
fof(f7677,plain,
! [X0,X1,X2] :
( ~ sQ78_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f389,f98]) ).
fof(f7678,plain,
( ~ sQ23_spl
| ~ sQ78_spl
| sQ148_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f7665,f6220,f773,f388,f197]) ).
fof(f7679,plain,
( ~ sQ23_spl
| ~ sQ78_spl
| sQ137_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f7666,f6220,f662,f388,f197]) ).
fof(f7680,plain,
( ~ sQ113_spl
| ~ sQ78_spl
| sQ135_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f7667,f3623,f648,f388,f505]) ).
fof(f7681,plain,
( ~ sQ113_spl
| ~ sQ78_spl
| sQ129_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f7668,f3623,f592,f388,f505]) ).
fof(f7682,plain,
( ~ sQ68_spl
| ~ sQ78_spl
| sQ132_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f7669,f4502,f616,f388,f351]) ).
fof(f7683,plain,
( ~ sQ68_spl
| ~ sQ78_spl
| sQ144_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f7670,f4502,f727,f388,f351]) ).
fof(f7684,definition,
! [X0] :
( sQ412_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition]) ).
fof(f7685,plain,
! [X0] :
( ~ sQ412_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f7684]) ).
fof(f7687,plain,
( ~ sQ78_spl
| sQ141_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f7674,f7684,f700,f388]) ).
fof(f7688,plain,
( ~ sQ78_spl
| sQ126_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f7675,f7684,f568,f388]) ).
fof(f7693,plain,
( ~ sQ362_spl
| ~ sQ49_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f286,f5467]) ).
fof(f7694,plain,
( ~ sQ405_spl
| ~ sQ49_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f286,f7184]) ).
fof(f7695,plain,
( ~ sQ402_spl
| ~ sQ49_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f286,f6987]) ).
fof(f7696,plain,
( ~ sQ401_spl
| ~ sQ49_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f286,f6928]) ).
fof(f7697,plain,
( ~ sQ358_spl
| ~ sQ49_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f286,f5447]) ).
fof(f7698,plain,
( ~ sQ377_spl
| ~ sQ49_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f286,f5890]) ).
fof(f7699,plain,
( ~ sQ312_spl
| ~ sQ49_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f286,f4045]) ).
fof(f7700,plain,
( ~ sQ393_spl
| ~ sQ49_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f286,f6444]) ).
fof(f7701,plain,
( ~ sQ394_spl
| ~ sQ49_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f286,f6449]) ).
fof(f7702,plain,
( ~ sQ378_spl
| ~ sQ49_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f286,f5895]) ).
fof(f7717,plain,
( ~ sQ378_spl
| ~ sQ49_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f7702,f212,f285,f5894]) ).
fof(f7730,plain,
( ~ sQ240_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f264,f2132]) ).
fof(f7731,plain,
( ~ sQ344_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f264,f4936]) ).
fof(f7732,plain,
( ~ sQ333_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f264,f4568]) ).
fof(f7733,plain,
( ~ sQ310_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f264,f4024]) ).
fof(f7734,plain,
( ~ sQ335_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f264,f4579]) ).
fof(f7735,plain,
( ~ sQ370_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f264,f5693]) ).
fof(f7736,plain,
( ~ sQ334_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f264,f4573]) ).
fof(f7737,plain,
( ~ sQ281_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f264,f2919]) ).
fof(f7738,plain,
( ~ sQ332_spl
| ~ sQ42_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f264,f4563]) ).
fof(f7739,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ42_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f264,f5443]) ).
fof(f7740,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ42_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f264,f5442]) ).
fof(f7743,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ42_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f264,f932]) ).
fof(f7744,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ42_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f264,f931]) ).
fof(f7754,plain,
( ~ sQ370_spl
| ~ sQ42_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f7735,f212,f263,f5692]) ).
fof(f7755,definition,
! [X0] :
( sQ413_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition]) ).
fof(f7756,plain,
! [X0] :
( ~ sQ413_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f7755]) ).
fof(f7758,plain,
( ~ sQ102_spl
| ~ sQ42_spl
| sQ163_spl
| sQ413_spl ),
inference(split_clause,[status(thm)],[f7739,f7755,f961,f263,f470]) ).
fof(f7759,plain,
( ~ sQ102_spl
| ~ sQ42_spl
| sQ137_spl
| sQ413_spl ),
inference(split_clause,[status(thm)],[f7740,f7755,f662,f263,f470]) ).
fof(f7762,plain,
( ~ sQ7_spl
| ~ sQ42_spl
| sQ168_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f7743,f7161,f1006,f263,f146]) ).
fof(f7763,plain,
( ~ sQ7_spl
| ~ sQ42_spl
| sQ141_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f7744,f7161,f700,f263,f146]) ).
fof(f7771,plain,
( ~ sQ407_spl
| ~ sQ68_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f352,f7245]) ).
fof(f7772,plain,
( ~ sQ406_spl
| ~ sQ68_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f352,f7217]) ).
fof(f7775,plain,
( ~ sQ384_spl
| ~ sQ68_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f352,f6164]) ).
fof(f7776,plain,
( ~ sQ385_spl
| ~ sQ68_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f352,f6169]) ).
fof(f7802,plain,
( ~ sQ327_spl
| ~ sQ89_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f424,f4368]) ).
fof(f7803,plain,
( ~ sQ271_spl
| ~ sQ89_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f424,f2663]) ).
fof(f7804,plain,
( ~ sQ328_spl
| ~ sQ89_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f424,f4387]) ).
fof(f7805,plain,
( ~ sQ287_spl
| ~ sQ89_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f424,f3058]) ).
fof(f7806,plain,
( ~ sQ221_spl
| ~ sQ89_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f424,f1758]) ).
fof(f7832,plain,
( ~ sQ345_spl
| ~ sQ71_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f362,f4941]) ).
fof(f7833,plain,
( ~ sQ352_spl
| ~ sQ71_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f362,f5340]) ).
fof(f7834,plain,
( ~ sQ391_spl
| ~ sQ71_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f362,f6375]) ).
fof(f7835,plain,
( ~ sQ364_spl
| ~ sQ71_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f362,f5497]) ).
fof(f7836,plain,
( ~ sQ350_spl
| ~ sQ71_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f362,f5267]) ).
fof(f7837,plain,
( ~ sQ253_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f362,f2377]) ).
fof(f7838,plain,
( ~ sQ307_spl
| ~ sQ71_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f362,f3975]) ).
fof(f7839,plain,
( ~ sQ342_spl
| ~ sQ71_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f362,f4767]) ).
fof(f7840,plain,
( ~ sQ373_spl
| ~ sQ71_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f362,f5811]) ).
fof(f7841,plain,
( ~ sQ359_spl
| ~ sQ71_spl
| ~ product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f362,f5452]) ).
fof(f7842,plain,
( ~ sQ341_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f362,f4761]) ).
fof(f7843,plain,
( ~ sQ340_spl
| ~ sQ71_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f362,f4756]) ).
fof(f7844,plain,
( ~ sQ318_spl
| ~ sQ71_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f362,f4121]) ).
fof(f7845,plain,
( ~ sQ254_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f362,f2399]) ).
fof(f7847,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ71_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f362,f7354]) ).
fof(f7848,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ71_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f362,f7353]) ).
fof(f7860,plain,
( ~ sQ350_spl
| ~ sQ71_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f7836,f351,f361,f5266]) ).
fof(f7861,plain,
( ~ sQ26_spl
| ~ sQ71_spl
| sQ152_spl
| sQ409_spl ),
inference(split_clause,[status(thm)],[f7847,f7355,f817,f361,f212]) ).
fof(f7862,plain,
( ~ sQ26_spl
| ~ sQ71_spl
| sQ169_spl
| sQ409_spl ),
inference(split_clause,[status(thm)],[f7848,f7355,f1010,f361,f212]) ).
fof(f7872,plain,
( ~ sQ336_spl
| ~ sQ119_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f525,f4700]) ).
fof(f7873,plain,
( ~ sQ301_spl
| ~ sQ119_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f525,f3628]) ).
fof(f7874,plain,
( ~ sQ348_spl
| ~ sQ119_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f525,f5204]) ).
fof(f7875,plain,
( ~ sQ320_spl
| ~ sQ119_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f525,f4220]) ).
fof(f7876,plain,
( ~ sQ390_spl
| ~ sQ119_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f525,f6226]) ).
fof(f7877,plain,
( ~ sQ389_spl
| ~ sQ119_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f525,f6221]) ).
fof(f7905,plain,
( ~ sQ268_spl
| ~ sQ15_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f173,f2564]) ).
fof(f7906,plain,
( ~ sQ286_spl
| ~ sQ15_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f173,f3053]) ).
fof(f7907,plain,
( ~ sQ230_spl
| ~ sQ15_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f173,f1914]) ).
fof(f7909,plain,
( ~ sQ236_spl
| ~ sQ15_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f173,f1993]) ).
fof(f7935,plain,
( ~ sQ97_spl
| ~ sQ300_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f3624,f450]) ).
fof(f7936,plain,
( ~ sQ119_spl
| ~ sQ412_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f7685,f525]) ).
fof(f7937,plain,
( ~ sQ119_spl
| ~ sQ329_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f4503,f525]) ).
fof(f7938,plain,
( ~ sQ49_spl
| ~ sQ413_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f7756,f286]) ).
fof(f7939,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ78_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f7676,f352]) ).
fof(f7940,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f7676,f389]) ).
fof(f7941,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f7676,f96]) ).
fof(f7942,plain,
( ~ sQ68_spl
| ~ sQ78_spl
| sQ137_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f7939,f4502,f662,f388,f351]) ).
fof(f7943,plain,
( ~ sQ78_spl
| sQ139_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f7940,f4283,f684,f388]) ).
fof(f7944,plain,
( ~ sQ78_spl
| sQ168_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f7941,f7684,f1006,f388]) ).
fof(f7945,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ78_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f7677,f352]) ).
fof(f7946,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f7677,f389]) ).
fof(f7947,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f7677,f96]) ).
fof(f7948,plain,
( ~ sQ68_spl
| ~ sQ78_spl
| sQ157_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f7945,f4502,f863,f388,f351]) ).
fof(f7949,plain,
( ~ sQ78_spl
| sQ146_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f7946,f4283,f758,f388]) ).
fof(f7950,plain,
( ~ sQ78_spl
| sQ166_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f7947,f7684,f979,f388]) ).
fof(f7956,plain,
( ~ sQ155_spl
| ~ sQ50_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f295,f855]) ).
fof(f7957,plain,
( ~ sQ369_spl
| ~ sQ50_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f295,f5638]) ).
fof(f7958,plain,
( ~ sQ142_spl
| ~ sQ50_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f295,f719]) ).
fof(f7987,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f471,f5443]) ).
fof(f7988,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f471,f5442]) ).
fof(f7989,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ102_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f471,f1125]) ).
fof(f7990,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ102_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f471,f1124]) ).
fof(f7991,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ102_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f471,f932]) ).
fof(f7992,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ102_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f471,f931]) ).
fof(f7993,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ102_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f471,f1901]) ).
fof(f7994,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ102_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f471,f1900]) ).
fof(f8002,plain,
( ~ sQ102_spl
| sQ172_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f7987,f6544,f1049,f470]) ).
fof(f8003,plain,
( ~ sQ102_spl
| sQ139_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f7988,f6544,f684,f470]) ).
fof(f8004,plain,
( ~ sQ42_spl
| ~ sQ102_spl
| sQ127_spl
| sQ413_spl ),
inference(split_clause,[status(thm)],[f7989,f7755,f572,f470,f263]) ).
fof(f8005,plain,
( ~ sQ42_spl
| ~ sQ102_spl
| sQ132_spl
| sQ413_spl ),
inference(split_clause,[status(thm)],[f7990,f7755,f616,f470,f263]) ).
fof(f8006,plain,
( ~ sQ7_spl
| ~ sQ102_spl
| sQ169_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f7991,f6443,f1010,f470,f146]) ).
fof(f8007,plain,
( ~ sQ7_spl
| ~ sQ102_spl
| sQ126_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f7992,f6443,f568,f470,f146]) ).
fof(f8008,plain,
( ~ sQ97_spl
| ~ sQ102_spl
| sQ133_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f7993,f7183,f620,f470,f449]) ).
fof(f8009,plain,
( ~ sQ97_spl
| ~ sQ102_spl
| sQ148_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f7994,f7183,f773,f470,f449]) ).
fof(f8016,plain,
( ~ sQ409_spl
| ~ sQ35_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f242,f7356]) ).
fof(f8018,plain,
( ~ sQ330_spl
| ~ sQ35_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f242,f4532]) ).
fof(f8020,plain,
( ~ sQ201_spl
| ~ sQ35_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f242,f1483]) ).
fof(f8049,plain,
( ~ sQ277_spl
| ~ sQ113_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f506,f2796]) ).
fof(f8050,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ113_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f506,f7677]) ).
fof(f8051,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ113_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f506,f7676]) ).
fof(f8065,plain,
( ~ sQ78_spl
| ~ sQ113_spl
| sQ133_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f8050,f3623,f620,f505,f388]) ).
fof(f8066,plain,
( ~ sQ78_spl
| ~ sQ113_spl
| sQ136_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f8051,f3623,f655,f505,f388]) ).
fof(f8078,plain,
( ~ sQ372_spl
| ~ sQ11_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f160,f5802]) ).
fof(f8079,plain,
( ~ sQ208_spl
| ~ sQ11_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f160,f1570]) ).
fof(f8080,plain,
( ~ sQ210_spl
| ~ sQ11_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f160,f1581]) ).
fof(f8081,plain,
( ~ sQ207_spl
| ~ sQ11_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f160,f1551]) ).
fof(f8082,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ11_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f160,f7354]) ).
fof(f8083,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ11_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f160,f7353]) ).
fof(f8086,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ11_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f160,f3468]) ).
fof(f8087,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ11_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f160,f3469]) ).
fof(f8095,plain,
( ~ sQ26_spl
| ~ sQ11_spl
| sQ126_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f8082,f4878,f568,f159,f212]) ).
fof(f8096,plain,
( ~ sQ26_spl
| ~ sQ11_spl
| sQ136_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f8083,f4878,f655,f159,f212]) ).
fof(f8099,plain,
( ~ sQ71_spl
| ~ sQ11_spl
| sQ134_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f8086,f1472,f641,f159,f361]) ).
fof(f8100,plain,
( ~ sQ71_spl
| ~ sQ11_spl
| sQ129_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f8087,f1472,f592,f159,f361]) ).
fof(f8130,plain,
( ~ sQ374_spl
| ~ sQ23_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f198,f5831]) ).
fof(f8131,plain,
( ~ sQ375_spl
| ~ sQ23_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f198,f5836]) ).
fof(f8132,plain,
( ~ sQ381_spl
| ~ sQ23_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f198,f5982]) ).
fof(f8133,plain,
( ~ sQ387_spl
| ~ sQ23_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f198,f6211]) ).
fof(f8134,plain,
( ~ sQ349_spl
| ~ sQ23_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f198,f5238]) ).
fof(f8135,plain,
( ~ sQ347_spl
| ~ sQ23_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f198,f5123]) ).
fof(f8136,plain,
( ~ sQ338_spl
| ~ sQ23_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f198,f4729]) ).
fof(f8137,plain,
( ~ sQ308_spl
| ~ sQ23_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f198,f3996]) ).
fof(f8138,plain,
( ~ sQ337_spl
| ~ sQ23_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f198,f4724]) ).
fof(f8140,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ23_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f198,f7677]) ).
fof(f8141,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ23_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f198,f7676]) ).
fof(f8144,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ23_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f198,f2470]) ).
fof(f8145,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ23_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f198,f2469]) ).
fof(f8146,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ23_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f198,f1543]) ).
fof(f8147,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ23_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f198,f1544]) ).
fof(f8155,plain,
( ~ sQ78_spl
| ~ sQ23_spl
| sQ132_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f8140,f6220,f616,f197,f388]) ).
fof(f8156,plain,
( ~ sQ78_spl
| ~ sQ23_spl
| sQ169_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f8141,f6220,f1010,f197,f388]) ).
fof(f8159,plain,
( ~ sQ113_spl
| ~ sQ23_spl
| sQ148_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f8144,f5506,f773,f197,f505]) ).
fof(f8160,plain,
( ~ sQ113_spl
| ~ sQ23_spl
| sQ130_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f8145,f5506,f596,f197,f505]) ).
fof(f8161,plain,
( ~ sQ68_spl
| ~ sQ23_spl
| sQ133_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f8146,f1569,f620,f197,f351]) ).
fof(f8162,plain,
( ~ sQ68_spl
| ~ sQ23_spl
| sQ129_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f8147,f1569,f592,f197,f351]) ).
fof(f8165,plain,
( ~ sQ68_spl
| ~ sQ58_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f320,f1539]) ).
fof(f8166,plain,
( ~ sQ125_spl
| ~ sQ58_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f320,f566]) ).
fof(f8167,plain,
( ~ sQ269_spl
| ~ sQ58_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f320,f2570]) ).
fof(f8168,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ58_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f320,f7677]) ).
fof(f8169,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ58_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f320,f7676]) ).
fof(f8170,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ58_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f320,f563]) ).
fof(f8171,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ58_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f320,f564]) ).
fof(f8172,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ58_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f320,f2470]) ).
fof(f8173,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ58_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f320,f2469]) ).
fof(f8174,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ58_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f320,f1543]) ).
fof(f8175,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ58_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f320,f1544]) ).
fof(f8176,plain,
( ~ sQ58_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f320,f112]) ).
fof(f8177,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f320,f95]) ).
fof(f8178,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f320,f93]) ).
fof(f8179,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f320,f91]) ).
fof(f8180,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f320,f102]) ).
fof(f8181,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f320,f101]) ).
fof(f8182,plain,
! [X0,X1,X2] :
( ~ sQ58_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f320,f100]) ).
fof(f8183,plain,
! [X0,X1,X2] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f320,f98]) ).
fof(f8184,plain,
( ~ sQ68_spl
| ~ sQ58_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f8165,f979,f319,f351]) ).
fof(f8185,plain,
( ~ sQ125_spl
| ~ sQ58_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f8166,f294,f319,f565]) ).
fof(f8186,definition,
! [X0] :
( sQ414_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition]) ).
fof(f8187,plain,
! [X0] :
( ~ sQ414_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f8186]) ).
fof(f8189,plain,
( ~ sQ78_spl
| ~ sQ58_spl
| sQ157_spl
| sQ414_spl ),
inference(split_clause,[status(thm)],[f8168,f8186,f863,f319,f388]) ).
fof(f8190,plain,
( ~ sQ78_spl
| ~ sQ58_spl
| sQ168_spl
| sQ414_spl ),
inference(split_clause,[status(thm)],[f8169,f8186,f1006,f319,f388]) ).
fof(f8191,definition,
! [X0] :
( sQ415_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ415_spl])],[split_symbol_definition]) ).
fof(f8192,plain,
! [X0] :
( ~ sQ415_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f8191]) ).
fof(f8194,plain,
( ~ sQ23_spl
| ~ sQ58_spl
| sQ163_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f8170,f8191,f961,f319,f197]) ).
fof(f8195,plain,
( ~ sQ23_spl
| ~ sQ58_spl
| sQ136_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f8171,f8191,f655,f319,f197]) ).
fof(f8196,definition,
! [X0] :
( sQ416_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition]) ).
fof(f8197,plain,
! [X0] :
( ~ sQ416_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f8196]) ).
fof(f8199,plain,
( ~ sQ113_spl
| ~ sQ58_spl
| sQ134_spl
| sQ416_spl ),
inference(split_clause,[status(thm)],[f8172,f8196,f641,f319,f505]) ).
fof(f8200,plain,
( ~ sQ113_spl
| ~ sQ58_spl
| sQ174_spl
| sQ416_spl ),
inference(split_clause,[status(thm)],[f8173,f8196,f1056,f319,f505]) ).
fof(f8201,plain,
( ~ sQ68_spl
| ~ sQ58_spl
| sQ166_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f8174,f5801,f979,f319,f351]) ).
fof(f8202,plain,
( ~ sQ68_spl
| ~ sQ58_spl
| sQ154_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f8175,f5801,f838,f319,f351]) ).
fof(f8203,plain,
( ~ sQ58_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f8176,f817,f319]) ).
fof(f8204,definition,
! [X0] :
( sQ417_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition]) ).
fof(f8205,plain,
! [X0] :
( ~ sQ417_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f8204]) ).
fof(f8207,plain,
( ~ sQ58_spl
| sQ152_spl
| sQ417_spl ),
inference(split_clause,[status(thm)],[f8180,f8204,f817,f319]) ).
fof(f8208,plain,
( ~ sQ58_spl
| sQ161_spl
| sQ417_spl ),
inference(split_clause,[status(thm)],[f8181,f8204,f920,f319]) ).
fof(f8209,plain,
( ~ sQ59_spl
| ~ sQ352_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f323,f7833]) ).
fof(f8210,plain,
( ~ sQ59_spl
| ~ sQ352_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f8209]) ).
fof(f8211,plain,
( ~ sQ113_spl
| ~ sQ417_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f8205,f506]) ).
fof(f8212,plain,
( ~ sQ97_spl
| ~ sQ416_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f8197,f450]) ).
fof(f8213,plain,
( ~ sQ113_spl
| ~ sQ415_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f8192,f506]) ).
fof(f8214,plain,
( ~ sQ119_spl
| ~ sQ414_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f8187,f525]) ).
fof(f8215,plain,
( ~ sQ119_spl
| ~ sQ414_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f8214,f505,f8186,f524]) ).
fof(f8216,plain,
( ~ sQ113_spl
| ~ sQ220_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f1736,f506]) ).
fof(f8217,plain,
( ~ sQ23_spl
| ~ sQ309_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f4003,f198]) ).
fof(f8234,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ106_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3994,f362]) ).
fof(f8236,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ106_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3994,f160]) ).
fof(f8238,plain,
( ~ sQ71_spl
| ~ sQ106_spl
| sQ134_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f8234,f5237,f641,f483,f361]) ).
fof(f8240,plain,
( ~ sQ11_spl
| ~ sQ106_spl
| sQ148_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f8236,f4728,f773,f483,f159]) ).
fof(f8242,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ106_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3993,f362]) ).
fof(f8244,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ106_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3993,f160]) ).
fof(f8246,plain,
( ~ sQ71_spl
| ~ sQ106_spl
| sQ127_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f8242,f5237,f572,f483,f361]) ).
fof(f8248,plain,
( ~ sQ11_spl
| ~ sQ106_spl
| sQ152_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f8244,f4728,f817,f483,f159]) ).
fof(f8253,plain,
( ~ sQ171_spl
| ~ sQ80_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f396,f1046]) ).
fof(f8254,plain,
( ~ sQ317_spl
| ~ sQ80_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f396,f4107]) ).
fof(f8255,plain,
( ~ sQ306_spl
| ~ sQ80_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f396,f3936]) ).
fof(f8256,plain,
( ~ sQ292_spl
| ~ sQ80_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f396,f3137]) ).
fof(f8257,plain,
( ~ sQ167_spl
| ~ sQ80_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f396,f1004]) ).
fof(f8260,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ80_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f396,f3232]) ).
fof(f8261,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ80_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f396,f3233]) ).
fof(f8262,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ80_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f396,f7243]) ).
fof(f8263,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ80_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f396,f7242]) ).
fof(f8264,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ80_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f396,f769]) ).
fof(f8265,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ80_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f396,f768]) ).
fof(f8273,plain,
( ~ sQ317_spl
| ~ sQ80_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8254,f388,f395,f4106]) ).
fof(f8276,plain,
( ~ sQ35_spl
| ~ sQ80_spl
| sQ174_spl
| sQ406_spl ),
inference(split_clause,[status(thm)],[f8260,f7216,f1056,f395,f241]) ).
fof(f8277,plain,
( ~ sQ35_spl
| ~ sQ80_spl
| sQ141_spl
| sQ406_spl ),
inference(split_clause,[status(thm)],[f8261,f7216,f700,f395,f241]) ).
fof(f8278,plain,
( ~ sQ50_spl
| ~ sQ80_spl
| sQ144_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f8262,f7244,f727,f395,f294]) ).
fof(f8279,plain,
( ~ sQ50_spl
| ~ sQ80_spl
| sQ168_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f8263,f7244,f1006,f395,f294]) ).
fof(f8280,plain,
( ~ sQ15_spl
| ~ sQ80_spl
| sQ137_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f8264,f6912,f662,f395,f172]) ).
fof(f8281,plain,
( ~ sQ15_spl
| ~ sQ80_spl
| sQ166_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f8265,f6912,f979,f395,f172]) ).
fof(f8284,plain,
( ~ sQ402_spl
| ~ sQ49_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f7695,f244,f285,f6986]) ).
fof(f8285,plain,
( ~ sQ13_spl
| ~ sQ277_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f6861,f140,f2795,f165]) ).
fof(f8286,plain,
( ~ sQ341_spl
| ~ sQ71_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f7842,f303,f361,f4760]) ).
fof(f8287,plain,
( ~ sQ320_spl
| ~ sQ119_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f7875,f486,f524,f4219]) ).
fof(f8288,plain,
( ~ sQ334_spl
| ~ sQ42_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f7736,f209,f263,f4572]) ).
fof(f8289,plain,
( ~ sQ301_spl
| ~ sQ119_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f7873,f508,f524,f3627]) ).
fof(f8290,plain,
( ~ sQ347_spl
| ~ sQ23_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f8135,f178,f197,f5122]) ).
fof(f8291,plain,
( ~ sQ83_spl
| ~ sQ322_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f405,f7282]) ).
fof(f8292,plain,
( ~ sQ83_spl
| ~ sQ322_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f8291]) ).
fof(f8293,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ53_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4237,f352]) ).
fof(f8294,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ53_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4237,f389]) ).
fof(f8296,definition,
! [X0] :
( sQ418_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition]) ).
fof(f8297,plain,
! [X0] :
( ~ sQ418_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f8296]) ).
fof(f8299,plain,
( ~ sQ68_spl
| ~ sQ53_spl
| sQ154_spl
| sQ418_spl ),
inference(split_clause,[status(thm)],[f8293,f8296,f838,f303,f351]) ).
fof(f8300,plain,
( ~ sQ78_spl
| ~ sQ53_spl
| sQ144_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f8294,f3627,f727,f303,f388]) ).
fof(f8306,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ17_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f716,f471]) ).
fof(f8307,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ17_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f716,f264]) ).
fof(f8308,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ17_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f716,f450]) ).
fof(f8310,plain,
( ~ sQ102_spl
| ~ sQ17_spl
| sQ169_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f8306,f5894,f1010,f178,f470]) ).
fof(f8311,definition,
! [X0] :
( sQ419_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition]) ).
fof(f8312,plain,
! [X0] :
( ~ sQ419_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f8311]) ).
fof(f8314,plain,
( ~ sQ42_spl
| ~ sQ17_spl
| sQ168_spl
| sQ419_spl ),
inference(split_clause,[status(thm)],[f8307,f8311,f1006,f178,f263]) ).
fof(f8315,plain,
( ~ sQ97_spl
| ~ sQ17_spl
| sQ137_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f8308,f1871,f662,f178,f449]) ).
fof(f8331,plain,
( ~ sQ410_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f7365,f96]) ).
fof(f8332,plain,
( ~ sQ156_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f860,f96]) ).
fof(f8333,plain,
( ~ sQ97_spl
| ~ sQ366_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f5507,f450]) ).
fof(f8337,plain,
( ~ sQ218_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1697,f96]) ).
fof(f8409,plain,
( ~ sQ343_spl
| ~ sQ59_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f323,f4879]) ).
fof(f8410,plain,
( ~ sQ354_spl
| ~ sQ59_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f323,f5350]) ).
fof(f8411,plain,
( ~ sQ267_spl
| ~ sQ59_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f323,f2559]) ).
fof(f8427,plain,
( ~ sQ354_spl
| ~ sQ59_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f8410,f294,f322,f5349]) ).
fof(f8441,plain,
( ~ sQ199_spl
| ~ sQ35_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f242,f1473]) ).
fof(f8442,plain,
( ~ sQ409_spl
| ~ sQ35_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f242,f7356]) ).
fof(f8443,plain,
( ~ sQ272_spl
| ~ sQ35_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f242,f2668]) ).
fof(f8444,plain,
( ~ sQ330_spl
| ~ sQ35_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f242,f4532]) ).
fof(f8446,plain,
( ~ sQ201_spl
| ~ sQ35_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f242,f1483]) ).
fof(f8475,plain,
( ~ sQ418_spl
| ~ sQ11_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f160,f8297]) ).
fof(f8477,plain,
( ~ sQ208_spl
| ~ sQ11_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f160,f1570]) ).
fof(f8478,plain,
( ~ sQ210_spl
| ~ sQ11_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f160,f1581]) ).
fof(f8479,plain,
( ~ sQ207_spl
| ~ sQ11_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f160,f1551]) ).
fof(f8536,plain,
( ~ sQ309_spl
| ~ sQ23_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f198,f4003]) ).
fof(f8537,plain,
( ~ sQ374_spl
| ~ sQ23_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f198,f5831]) ).
fof(f8538,plain,
( ~ sQ375_spl
| ~ sQ23_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f198,f5836]) ).
fof(f8540,plain,
( ~ sQ387_spl
| ~ sQ23_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f198,f6211]) ).
fof(f8574,plain,
( ~ sQ419_spl
| ~ sQ106_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f484,f8312]) ).
fof(f8575,plain,
( ~ sQ404_spl
| ~ sQ106_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f484,f7162]) ).
fof(f8576,plain,
( ~ sQ371_spl
| ~ sQ106_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f484,f5712]) ).
fof(f8577,plain,
( ~ sQ179_spl
| ~ sQ106_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f484,f1127]) ).
fof(f8578,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f484,f3993]) ).
fof(f8579,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f484,f3994]) ).
fof(f8580,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ106_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f484,f7354]) ).
fof(f8581,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ106_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f484,f7353]) ).
fof(f8582,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ106_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f484,f3873]) ).
fof(f8583,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ106_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f484,f3874]) ).
fof(f8584,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ106_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f484,f3468]) ).
fof(f8585,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ106_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f484,f3469]) ).
fof(f8593,plain,
( ~ sQ371_spl
| ~ sQ106_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f8576,f470,f483,f5711]) ).
fof(f8594,plain,
( ~ sQ106_spl
| sQ161_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f8578,f6029,f920,f483]) ).
fof(f8595,plain,
( ~ sQ106_spl
| sQ172_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f8579,f6029,f1049,f483]) ).
fof(f8596,plain,
( ~ sQ26_spl
| ~ sQ106_spl
| sQ127_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f8580,f4723,f572,f483,f212]) ).
fof(f8597,plain,
( ~ sQ26_spl
| ~ sQ106_spl
| sQ168_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f8581,f4723,f1006,f483,f212]) ).
fof(f8598,plain,
( ~ sQ11_spl
| ~ sQ106_spl
| sQ174_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f8582,f4728,f1056,f483,f159]) ).
fof(f8599,plain,
( ~ sQ11_spl
| ~ sQ106_spl
| sQ169_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f8583,f4728,f1010,f483,f159]) ).
fof(f8600,plain,
( ~ sQ71_spl
| ~ sQ106_spl
| sQ163_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f8584,f5237,f961,f483,f361]) ).
fof(f8601,plain,
( ~ sQ71_spl
| ~ sQ106_spl
| sQ130_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f8585,f5237,f596,f483,f361]) ).
fof(f8608,plain,
( ~ sQ306_spl
| ~ sQ80_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f396,f3936]) ).
fof(f8609,plain,
( ~ sQ292_spl
| ~ sQ80_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f396,f3137]) ).
fof(f8610,plain,
( ~ sQ167_spl
| ~ sQ80_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f396,f1004]) ).
fof(f8639,plain,
( ~ sQ220_spl
| ~ sQ113_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f506,f1736]) ).
fof(f8640,plain,
( ~ sQ415_spl
| ~ sQ113_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f506,f8192]) ).
fof(f8641,plain,
( ~ sQ417_spl
| ~ sQ113_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f506,f8205]) ).
fof(f8642,plain,
( ~ sQ277_spl
| ~ sQ113_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f506,f2796]) ).
fof(f8671,plain,
( ~ sQ155_spl
| ~ sQ50_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f295,f855]) ).
fof(f8673,plain,
( ~ sQ142_spl
| ~ sQ50_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f295,f719]) ).
fof(f8702,plain,
( ~ sQ232_spl
| ~ sQ15_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f173,f1946]) ).
fof(f8703,plain,
( ~ sQ228_spl
| ~ sQ15_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f173,f1904]) ).
fof(f8705,plain,
( ~ sQ268_spl
| ~ sQ15_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f173,f2564]) ).
fof(f8706,plain,
( ~ sQ286_spl
| ~ sQ15_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f173,f3053]) ).
fof(f8707,plain,
( ~ sQ230_spl
| ~ sQ15_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f173,f1914]) ).
fof(f8708,plain,
( ~ sQ226_spl
| ~ sQ15_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f173,f1877]) ).
fof(f8709,plain,
( ~ sQ236_spl
| ~ sQ15_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f173,f1993]) ).
fof(f8738,plain,
( ~ sQ304_spl
| ~ sQ7_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f147,f3707]) ).
fof(f8739,plain,
( ~ sQ184_spl
| ~ sQ7_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f147,f1187]) ).
fof(f8740,plain,
( ~ sQ326_spl
| ~ sQ7_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f147,f4316]) ).
fof(f8741,plain,
( ~ sQ299_spl
| ~ sQ7_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f147,f3578]) ).
fof(f8767,plain,
( ~ sQ97_spl
| ~ greater(e_3,e_3) ),
inference(resolution,[status(thm)],[f1890,f49]) ).
fof(model,axiom,
( ~ sQ0_spl
| ~ sQ1_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
| ~ sQ22_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
| ~ sQ41_spl
| sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| ~ sQ47_spl
| ~ sQ48_spl
| sQ49_spl
| sQ50_spl
| ~ sQ51_spl
| ~ sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| ~ sQ56_spl
| ~ sQ57_spl
| ~ sQ58_spl
| sQ59_spl
| ~ sQ61_spl
| sQ62_spl
| ~ sQ63_spl
| ~ sQ64_spl
| ~ sQ65_spl
| ~ sQ66_spl
| ~ sQ67_spl
| sQ68_spl
| ~ sQ69_spl
| ~ sQ70_spl
| sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| ~ sQ74_spl
| ~ sQ75_spl
| ~ sQ76_spl
| ~ sQ77_spl
| sQ78_spl
| ~ sQ79_spl
| sQ80_spl
| ~ sQ81_spl
| ~ sQ82_spl
| ~ sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| ~ sQ86_spl
| ~ sQ87_spl
| ~ sQ88_spl
| sQ89_spl
| ~ sQ90_spl
| sQ91_spl
| ~ sQ92_spl
| ~ sQ93_spl
| ~ sQ94_spl
| ~ sQ95_spl
| ~ sQ96_spl
| sQ97_spl
| ~ sQ98_spl
| ~ sQ99_spl
| ~ sQ100_spl
| ~ sQ101_spl
| sQ102_spl
| ~ sQ103_spl
| ~ sQ104_spl
| ~ sQ105_spl
| sQ106_spl
| ~ sQ107_spl
| ~ sQ109_spl
| ~ sQ110_spl
| ~ sQ111_spl
| ~ sQ112_spl
| sQ113_spl
| ~ sQ114_spl
| ~ sQ115_spl
| ~ sQ116_spl
| ~ sQ117_spl
| ~ sQ118_spl
| sQ119_spl
| sQ120_spl
| ~ sQ121_spl
| ~ sQ122_spl
| ~ sQ123_spl
| ~ sQ124_spl
| sQ125_spl
| ~ sQ126_spl
| ~ sQ127_spl
| ~ sQ128_spl
| ~ sQ129_spl
| ~ sQ130_spl
| ~ sQ132_spl
| ~ sQ133_spl
| ~ sQ134_spl
| ~ sQ135_spl
| ~ sQ136_spl
| ~ sQ137_spl
| sQ139_spl
| ~ sQ140_spl
| ~ sQ141_spl
| sQ142_spl
| ~ sQ144_spl
| sQ146_spl
| sQ147_spl
| ~ sQ148_spl
| ~ sQ149_spl
| ~ sQ150_spl
| ~ sQ152_spl
| sQ154_spl
| sQ155_spl
| sQ156_spl
| ~ sQ157_spl
| ~ sQ158_spl
| sQ161_spl
| ~ sQ163_spl
| ~ sQ164_spl
| ~ sQ165_spl
| ~ sQ166_spl
| sQ167_spl
| ~ sQ168_spl
| ~ sQ169_spl
| sQ171_spl
| sQ172_spl
| ~ sQ174_spl
| ~ sQ175_spl
| sQ179_spl
| sQ180_spl
| ~ sQ182_spl
| ~ sQ183_spl
| sQ184_spl
| sQ188_spl
| ~ sQ192_spl
| ~ sQ195_spl
| ~ sQ198_spl
| sQ199_spl
| sQ201_spl
| sQ202_spl
| ~ sQ203_spl
| ~ sQ205_spl
| sQ206_spl
| sQ207_spl
| sQ208_spl
| sQ210_spl
| sQ218_spl
| sQ220_spl
| sQ221_spl
| ~ sQ224_spl
| sQ226_spl
| sQ228_spl
| sQ230_spl
| sQ232_spl
| ~ sQ235_spl
| sQ236_spl
| sQ240_spl
| sQ241_spl
| sQ243_spl
| ~ sQ244_spl
| sQ252_spl
| sQ253_spl
| sQ254_spl
| ~ sQ257_spl
| ~ sQ258_spl
| sQ263_spl
| ~ sQ265_spl
| sQ267_spl
| sQ268_spl
| sQ269_spl
| ~ sQ270_spl
| sQ271_spl
| sQ272_spl
| ~ sQ273_spl
| ~ sQ275_spl
| ~ sQ276_spl
| sQ277_spl
| ~ sQ278_spl
| ~ sQ279_spl
| sQ281_spl
| sQ282_spl
| sQ285_spl
| sQ286_spl
| sQ287_spl
| sQ288_spl
| sQ291_spl
| sQ292_spl
| sQ294_spl
| sQ295_spl
| ~ sQ297_spl
| ~ sQ298_spl
| sQ299_spl
| sQ300_spl
| sQ303_spl
| sQ304_spl
| sQ306_spl
| sQ307_spl
| sQ308_spl
| sQ309_spl
| sQ310_spl
| sQ312_spl
| sQ313_spl
| ~ sQ315_spl
| ~ sQ316_spl
| ~ sQ317_spl
| sQ318_spl
| ~ sQ319_spl
| ~ sQ321_spl
| ~ sQ323_spl
| ~ sQ324_spl
| ~ sQ325_spl
| sQ326_spl
| sQ327_spl
| sQ328_spl
| sQ329_spl
| sQ330_spl
| sQ332_spl
| sQ333_spl
| sQ335_spl
| sQ336_spl
| sQ337_spl
| sQ338_spl
| sQ339_spl
| sQ340_spl
| sQ342_spl
| sQ343_spl
| sQ344_spl
| sQ345_spl
| sQ348_spl
| sQ349_spl
| ~ sQ350_spl
| ~ sQ351_spl
| ~ sQ352_spl
| ~ sQ353_spl
| ~ sQ354_spl
| ~ sQ355_spl
| ~ sQ356_spl
| sQ358_spl
| sQ359_spl
| sQ362_spl
| sQ364_spl
| sQ365_spl
| sQ366_spl
| sQ367_spl
| ~ sQ368_spl
| sQ369_spl
| ~ sQ370_spl
| ~ sQ371_spl
| sQ372_spl
| sQ373_spl
| sQ374_spl
| sQ375_spl
| sQ376_spl
| sQ377_spl
| ~ sQ378_spl
| sQ381_spl
| ~ sQ382_spl
| ~ sQ383_spl
| sQ384_spl
| sQ385_spl
| sQ386_spl
| sQ387_spl
| ~ sQ388_spl
| sQ389_spl
| sQ390_spl
| sQ391_spl
| ~ sQ392_spl
| sQ393_spl
| sQ394_spl
| ~ sQ398_spl
| sQ399_spl
| sQ400_spl
| sQ401_spl
| sQ403_spl
| sQ404_spl
| sQ405_spl
| sQ406_spl
| sQ407_spl
| sQ408_spl
| sQ409_spl
| sQ410_spl
| sQ411_spl
| sQ412_spl
| sQ413_spl
| ~ sQ414_spl
| sQ415_spl
| sQ416_spl
| sQ417_spl
| sQ418_spl
| sQ419_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP124-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n015.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 20 20:01:50 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 30.38/4.39 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 30.38/4.39 % SZS output start Saturation for theBenchmark
% See solution above
% 31.26/4.50 % Elapsed time: 4.041490 seconds
% 31.26/4.50 % CPU time: 30.939588 seconds
% 31.26/4.50 % Total memory used: 93.124 MB
% 31.26/4.50 % Net memory used: 74.802 MB
%------------------------------------------------------------------------------