%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP123-3.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:35:42 PM UTC 2026
% Result : Satisfiable 1.11s 0.60s
% Output : Saturation 1.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
next(e_0,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
greater(e_1,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
greater(e_4,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y,Z] :
( equalish(Y,Z)
| ~ cycle(X,Z)
| ~ cycle(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X] :
( cycle(X,e_3)
| cycle(X,e_2)
| cycle(X,e_1)
| cycle(X,e_0)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
cycle(e_4,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y,W,Z,Z1] :
( equalish(Y,Z1)
| ~ next(Z,Z1)
| ~ greater(Y,e_0)
| ~ next(X,W)
| ~ cycle(W,Z)
| ~ cycle(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Z1,Y,W,Z2] :
( ~ greater(Z1,Z2)
| ~ greater(Y,X)
| ~ next(Y,W)
| ~ cycle(W,Z2)
| ~ cycle(Y,e_0)
| ~ cycle(X,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X,Y] :
( ~ greater(Y,X)
| ~ product(X,e_1,Y)
| ~ cycle(X,e_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y,Z,X1] :
( equalish(Z,X1)
| ~ next(X,X1)
| ~ greater(Y,e_0)
| ~ product(X,e_1,Z)
| ~ cycle(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [X,Y] :
( product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
! [X1,Y1,Z1,X2,Y2,Z2] :
( equalish(X1,X2)
| ~ product(Z2,Y2,X2)
| ~ product(Z2,Y1,X1)
| ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [X1,Y1,Z1,X2,Y2,Z2] :
( equalish(Y1,Y2)
| ~ product(Z2,Y2,X2)
| ~ product(Z2,Y1,X1)
| ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,plain,
next(e_0,e_1),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
next(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
next(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f48,plain,
next(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f49,plain,
greater(e_1,e_0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f50,plain,
greater(e_2,e_0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f51,plain,
greater(e_3,e_0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f52,plain,
greater(e_4,e_0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f53,plain,
greater(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f54,plain,
greater(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f55,plain,
greater(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f56,plain,
greater(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f57,plain,
greater(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f58,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f59,plain,
! [Y,Z] :
( equalish(Y,Z)
| ! [X] :
( ~ cycle(X,Z)
| ~ cycle(X,Y) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f60,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ cycle(X0,X2)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [X0] :
( cycle(X0,e_3)
| cycle(X0,e_2)
| cycle(X0,e_1)
| cycle(X0,e_0)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f62,plain,
cycle(e_4,e_0),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f63,plain,
! [Y,Z1] :
( equalish(Y,Z1)
| ! [Z] :
( ~ next(Z,Z1)
| ~ greater(Y,e_0)
| ! [X,W] :
( ~ next(X,W)
| ~ cycle(W,Z)
| ~ cycle(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f64,plain,
! [X0,X1,X2,X3,X4] :
( equalish(X1,X4)
| ~ next(X3,X4)
| ~ greater(X1,e_0)
| ~ next(X0,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
! [Z1,Z2] :
( ~ greater(Z1,Z2)
| ! [X,Y] :
( ~ greater(Y,X)
| ! [W] :
( ~ next(Y,W)
| ~ cycle(W,Z2)
| ~ cycle(Y,e_0)
| ~ cycle(X,Z1) ) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f66,plain,
! [X0,X1,X2,X3,X4] :
( ~ greater(X1,X4)
| ~ greater(X2,X0)
| ~ next(X2,X3)
| ~ cycle(X3,X4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ product(X0,e_1,X1)
| ~ cycle(X0,e_0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f68,plain,
! [Z,X1] :
( equalish(Z,X1)
| ! [X] :
( ~ next(X,X1)
| ! [Y] :
( ~ greater(Y,e_0)
| ~ product(X,e_1,Z)
| ~ cycle(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ next(X0,X3)
| ~ greater(X1,e_0)
| ~ product(X0,e_1,X2)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f70,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f71,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f72,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f73,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f74,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f75,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f76,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f77,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f78,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f79,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f80,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f81,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f82,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f83,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f84,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f85,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f86,plain,
! [X0,X1] :
( product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f87,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f89,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f93,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f94,plain,
! [X1,X2] :
( equalish(X1,X2)
| ! [Y2,Z2] :
( ~ product(Z2,Y2,X2)
| ! [Y1] :
( ~ product(Z2,Y1,X1)
| ! [Z1] :
( ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ) ) ) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f95,plain,
! [X0,X1,X2,X3,X4,X5] :
( equalish(X0,X3)
| ~ product(X5,X4,X3)
| ~ product(X5,X1,X0)
| ~ product(X3,X4,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f96,plain,
! [Y1,Y2] :
( equalish(Y1,Y2)
| ! [X2,Z2] :
( ~ product(Z2,Y2,X2)
| ! [X1] :
( ~ product(Z2,Y1,X1)
| ! [Z1] :
( ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ) ) ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f97,plain,
! [X0,X1,X2,X3,X4,X5] :
( equalish(X1,X4)
| ~ product(X5,X4,X3)
| ~ product(X5,X1,X0)
| ~ product(X3,X4,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f93,f88]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X1)
| ~ product(X3,X1,X0)
| ~ product(X3,X2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f93,f97]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X0)
| ~ product(X3,X1,X0)
| ~ product(X3,X2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f93,f95]) ).
fof(f102,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f90,f93]) ).
fof(f103,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f92,f93]) ).
fof(f104,plain,
! [X0,X1] :
( equalish(X1,X1)
| ~ product(X0,X1,X1)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f99,f93]) ).
fof(f105,plain,
! [X0,X1] :
( equalish(X1,X1)
| ~ product(X0,X1,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f104]) ).
fof(f108,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f61,f72]) ).
fof(f109,plain,
( cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f61,f71]) ).
fof(f110,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f61,f70]) ).
fof(f111,definition,
( sQ0_spl
<=> cycle(e_3,e_0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( ~ sQ0_spl
| cycle(e_3,e_0) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f113,plain,
( sQ0_spl
| ~ cycle(e_3,e_0) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,definition,
( sQ1_spl
<=> cycle(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( ~ sQ1_spl
| cycle(e_3,e_1) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f116,plain,
( sQ1_spl
| ~ cycle(e_3,e_1) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,definition,
( sQ2_spl
<=> cycle(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ2_spl
| cycle(e_3,e_2) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f119,plain,
( sQ2_spl
| ~ cycle(e_3,e_2) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,definition,
( sQ3_spl
<=> cycle(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( ~ sQ3_spl
| cycle(e_3,e_3) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f122,plain,
( sQ3_spl
| ~ cycle(e_3,e_3) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f108,f111,f114,f117,f120]) ).
fof(f124,definition,
( sQ4_spl
<=> cycle(e_2,e_0) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ4_spl
| cycle(e_2,e_0) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f126,plain,
( sQ4_spl
| ~ cycle(e_2,e_0) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,definition,
( sQ5_spl
<=> cycle(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ5_spl
| cycle(e_2,e_1) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f129,plain,
( sQ5_spl
| ~ cycle(e_2,e_1) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,definition,
( sQ6_spl
<=> cycle(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( ~ sQ6_spl
| cycle(e_2,e_2) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f132,plain,
( sQ6_spl
| ~ cycle(e_2,e_2) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,definition,
( sQ7_spl
<=> cycle(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ7_spl
| cycle(e_2,e_3) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f135,plain,
( sQ7_spl
| ~ cycle(e_2,e_3) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f109,f124,f127,f130,f133]) ).
fof(f137,definition,
( sQ8_spl
<=> cycle(e_1,e_0) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ8_spl
| cycle(e_1,e_0) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f139,plain,
( sQ8_spl
| ~ cycle(e_1,e_0) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,definition,
( sQ9_spl
<=> cycle(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ9_spl
| cycle(e_1,e_1) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f142,plain,
( sQ9_spl
| ~ cycle(e_1,e_1) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
( sQ10_spl
<=> cycle(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ10_spl
| cycle(e_1,e_2) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f145,plain,
( sQ10_spl
| ~ cycle(e_1,e_2) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
( sQ11_spl
<=> cycle(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( ~ sQ11_spl
| cycle(e_1,e_3) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f148,plain,
( sQ11_spl
| ~ cycle(e_1,e_3) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f110,f137,f140,f143,f146]) ).
fof(f150,plain,
! [X0] :
( product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f86,f72]) ).
fof(f151,plain,
! [X0] :
( product(e_2,X0,e_4)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f86,f71]) ).
fof(f152,plain,
! [X0] :
( product(e_1,X0,e_4)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f86,f70]) ).
fof(f153,plain,
( product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f150,f72]) ).
fof(f154,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f150,f71]) ).
fof(f155,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f150,f70]) ).
fof(f156,definition,
( sQ12_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ12_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f158,plain,
( sQ12_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,definition,
( sQ13_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ13_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( sQ13_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,definition,
( sQ14_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f165,definition,
( sQ15_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ15_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f167,plain,
( sQ15_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f153,f156,f159,f162,f165]) ).
fof(f169,definition,
( sQ16_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ16_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( sQ16_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,definition,
( sQ17_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ17_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f174,plain,
( sQ17_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,definition,
( sQ18_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( ~ sQ18_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f177,plain,
( sQ18_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,definition,
( sQ19_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( ~ sQ19_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f180,plain,
( sQ19_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f154,f169,f172,f175,f178]) ).
fof(f182,definition,
( sQ20_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( ~ sQ20_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f184,plain,
( sQ20_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,definition,
( sQ21_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ21_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f187,plain,
( sQ21_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,definition,
( sQ22_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ22_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f190,plain,
( sQ22_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,definition,
( sQ23_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( ~ sQ23_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f193,plain,
( sQ23_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f155,f182,f185,f188,f191]) ).
fof(f195,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f151,f72]) ).
fof(f196,plain,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f151,f71]) ).
fof(f197,plain,
( product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f151,f70]) ).
fof(f198,definition,
( sQ24_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( ~ sQ24_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f200,plain,
( sQ24_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,definition,
( sQ25_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ25_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f203,plain,
( sQ25_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,definition,
( sQ26_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ26_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f206,plain,
( sQ26_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,definition,
( sQ27_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ27_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f209,plain,
( sQ27_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f195,f198,f201,f204,f207]) ).
fof(f211,definition,
( sQ28_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ28_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f213,plain,
( sQ28_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,definition,
( sQ29_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f217,definition,
( sQ30_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ30_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,definition,
( sQ31_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( ~ sQ31_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f222,plain,
( sQ31_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f196,f211,f214,f217,f220]) ).
fof(f224,definition,
( sQ32_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ32_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f226,plain,
( sQ32_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,definition,
( sQ33_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( ~ sQ33_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f229,plain,
( sQ33_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,definition,
( sQ34_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ34_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f232,plain,
( sQ34_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,definition,
( sQ35_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( ~ sQ35_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f235,plain,
( sQ35_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f197,f224,f227,f230,f233]) ).
fof(f237,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f152,f72]) ).
fof(f238,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f152,f71]) ).
fof(f239,plain,
( product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f152,f70]) ).
fof(f240,definition,
( sQ36_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ36_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f242,plain,
( sQ36_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,definition,
( sQ37_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( ~ sQ37_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f245,plain,
( sQ37_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,definition,
( sQ38_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ38_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f248,plain,
( sQ38_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,definition,
( sQ39_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ39_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f251,plain,
( sQ39_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f237,f240,f243,f246,f249]) ).
fof(f253,definition,
( sQ40_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( ~ sQ40_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f255,plain,
( sQ40_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,definition,
( sQ41_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ41_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f258,plain,
( sQ41_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,definition,
( sQ42_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( ~ sQ42_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f261,plain,
( sQ42_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,definition,
( sQ43_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ43_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f264,plain,
( sQ43_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f238,f253,f256,f259,f262]) ).
fof(f266,definition,
( sQ44_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f269,definition,
( sQ45_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( ~ sQ45_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,definition,
( sQ46_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ46_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f274,plain,
( sQ46_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,definition,
( sQ47_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ47_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f277,plain,
( sQ47_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f239,f266,f269,f272,f275]) ).
fof(f279,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f105,f93]) ).
fof(f282,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f73,f152]) ).
fof(f283,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f73,f151]) ).
fof(f284,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f73,f150]) ).
fof(f285,plain,
! [X0] :
( product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f73,f86]) ).
fof(f287,definition,
( sQ48_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f288,plain,
( ~ sQ48_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f289,plain,
( sQ48_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,definition,
( sQ49_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( ~ sQ49_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f292,plain,
( sQ49_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,definition,
( sQ50_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( ~ sQ50_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f295,plain,
( sQ50_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f296,definition,
( sQ51_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f297,plain,
( ~ sQ51_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f298,plain,
( sQ51_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f282,f287,f290,f293,f296]) ).
fof(f300,definition,
( sQ52_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( ~ sQ52_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f302,plain,
( sQ52_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,definition,
( sQ53_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f304,plain,
( ~ sQ53_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f305,plain,
( sQ53_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,definition,
( sQ54_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( ~ sQ54_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f308,plain,
( sQ54_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,definition,
( sQ55_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( ~ sQ55_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f311,plain,
( sQ55_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f283,f300,f303,f306,f309]) ).
fof(f313,definition,
( sQ56_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( ~ sQ56_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f315,plain,
( sQ56_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,definition,
( sQ57_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( ~ sQ57_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f318,plain,
( sQ57_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,definition,
( sQ58_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f320,plain,
( ~ sQ58_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f321,plain,
( sQ58_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,definition,
( sQ59_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( ~ sQ59_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f324,plain,
( sQ59_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f284,f313,f316,f319,f322]) ).
fof(f326,definition,
( sQ60_spl
<=> cycle(e_4,e_0) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( sQ60_spl
| ~ cycle(e_4,e_0) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,definition,
( sQ61_spl
<=> cycle(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( ~ sQ61_spl
| cycle(e_4,e_1) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f331,plain,
( sQ61_spl
| ~ cycle(e_4,e_1) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,definition,
( sQ62_spl
<=> cycle(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f333,plain,
( ~ sQ62_spl
| cycle(e_4,e_2) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f334,plain,
( sQ62_spl
| ~ cycle(e_4,e_2) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,definition,
( sQ63_spl
<=> cycle(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( ~ sQ63_spl
| cycle(e_4,e_3) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f337,plain,
( sQ63_spl
| ~ cycle(e_4,e_3) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f339,plain,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f285,f73]) ).
fof(f340,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f285,f72]) ).
fof(f341,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f285,f71]) ).
fof(f342,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f285,f70]) ).
fof(f343,definition,
( sQ64_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( ~ sQ64_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,definition,
( sQ65_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ65_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,definition,
( sQ66_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ66_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f351,plain,
( sQ66_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,definition,
( sQ67_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f339,f343,f346,f349,f352]) ).
fof(f356,definition,
( sQ68_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( ~ sQ68_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,definition,
( sQ69_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( ~ sQ69_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f361,plain,
( sQ69_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,definition,
( sQ70_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ70_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f364,plain,
( sQ70_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,definition,
( sQ71_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f366,plain,
( ~ sQ71_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f367,plain,
( sQ71_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f340,f356,f359,f362,f365]) ).
fof(f369,definition,
( sQ72_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( ~ sQ72_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f371,plain,
( sQ72_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,definition,
( sQ73_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ73_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f374,plain,
( sQ73_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,definition,
( sQ74_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ74_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f377,plain,
( sQ74_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,definition,
( sQ75_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f379,plain,
( ~ sQ75_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f380,plain,
( sQ75_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,plain,
( sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f341,f369,f372,f375,f378]) ).
fof(f382,definition,
( sQ76_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ76_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f384,plain,
( sQ76_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ77_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( ~ sQ77_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f387,plain,
( sQ77_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,definition,
( sQ78_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ78_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f390,plain,
( sQ78_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,definition,
( sQ79_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( ~ sQ79_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f393,plain,
( sQ79_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f342,f382,f385,f388,f391]) ).
fof(f395,plain,
! [X0] :
( equalish(e_0,X0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f62,f60]) ).
fof(f396,plain,
! [X0,X1,X2] :
( equalish(e_0,X2)
| ~ next(X1,X2)
| ~ greater(e_0,e_0)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f64,f62]) ).
fof(f397,definition,
! [X0,X1,X2] :
( sQ80_spl
<=> ( equalish(e_0,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f398,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| equalish(e_0,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,definition,
( sQ81_spl
<=> greater(e_0,e_0) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( sQ81_spl
| ~ greater(e_0,e_0) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( ~ sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f396,f397,f400]) ).
fof(f404,plain,
! [X0,X1,X2] :
( ~ greater(e_0,X2)
| ~ greater(X0,e_4)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f66,f62]) ).
fof(f405,plain,
( ~ greater(e_1,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f67,f93]) ).
fof(f406,definition,
( sQ82_spl
<=> greater(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( sQ82_spl
| ~ greater(e_1,e_1) ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( ~ sQ82_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f405,f137,f406]) ).
fof(f410,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ next(e_4,X1)
| ~ greater(e_0,e_0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f69,f62]) ).
fof(f411,definition,
! [X0,X1] :
( sQ83_spl
<=> ( equalish(X0,X1)
| ~ next(e_4,X1)
| ~ product(e_4,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f412,plain,
! [X0,X1] :
( ~ sQ83_spl
| equalish(X0,X1)
| ~ next(e_4,X1)
| ~ product(e_4,e_1,X0) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,plain,
( ~ sQ81_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f410,f411,f400]) ).
fof(f415,plain,
! [X0,X1] :
( ~ sQ11_spl
| equalish(X0,X1)
| ~ next(e_1,X1)
| ~ greater(e_3,e_0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f147,f69]) ).
fof(f416,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| ~ greater(e_3,X2)
| ~ greater(X0,e_1)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f147,f66]) ).
fof(f417,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ greater(e_3,e_0)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f147,f64]) ).
fof(f418,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,X0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f147,f60]) ).
fof(f419,definition,
! [X0,X1] :
( sQ84_spl
<=> ( equalish(X0,X1)
| ~ next(e_1,X1)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f420,plain,
! [X0,X1] :
( ~ sQ84_spl
| equalish(X0,X1)
| ~ next(e_1,X1)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,definition,
( sQ85_spl
<=> greater(e_3,e_0) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f424,plain,
( sQ85_spl
| ~ greater(e_3,e_0) ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,plain,
( ~ sQ11_spl
| ~ sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f415,f419,f422,f146]) ).
fof(f426,definition,
! [X0,X1,X2] :
( sQ86_spl
<=> ( equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f427,plain,
! [X0,X1,X2] :
( ~ sQ86_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,plain,
( ~ sQ11_spl
| ~ sQ85_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f417,f426,f422,f146]) ).
fof(f430,plain,
( sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f424,f51]) ).
fof(f431,plain,
sQ85_spl,
inference(contradiction_clause,[status(thm)],[f430]) ).
fof(f432,plain,
! [X0,X1] :
( ~ sQ10_spl
| equalish(X0,X1)
| ~ next(e_1,X1)
| ~ greater(e_2,e_0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f144,f69]) ).
fof(f433,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ greater(e_2,X2)
| ~ greater(X0,e_1)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f144,f66]) ).
fof(f434,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ greater(e_2,e_0)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f144,f64]) ).
fof(f435,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_2,X0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f144,f60]) ).
fof(f436,definition,
( sQ87_spl
<=> greater(e_2,e_0) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( sQ87_spl
| ~ greater(e_2,e_0) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,plain,
( ~ sQ10_spl
| ~ sQ87_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f432,f419,f436,f143]) ).
fof(f440,definition,
! [X0,X1,X2] :
( sQ88_spl
<=> ( equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f441,plain,
! [X0,X1,X2] :
( ~ sQ88_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( ~ sQ10_spl
| ~ sQ87_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f434,f440,f436,f143]) ).
fof(f444,plain,
( sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f438,f50]) ).
fof(f445,plain,
sQ87_spl,
inference(contradiction_clause,[status(thm)],[f444]) ).
fof(f446,plain,
! [X0,X1] :
( ~ sQ9_spl
| equalish(X0,X1)
| ~ next(e_1,X1)
| ~ greater(e_1,e_0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f141,f69]) ).
fof(f447,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| ~ greater(e_1,X2)
| ~ greater(X0,e_1)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f141,f66]) ).
fof(f448,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ greater(e_1,e_0)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f141,f64]) ).
fof(f449,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_1,X0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f141,f60]) ).
fof(f450,definition,
( sQ89_spl
<=> greater(e_1,e_0) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( sQ89_spl
| ~ greater(e_1,e_0) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,plain,
( ~ sQ9_spl
| ~ sQ89_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f446,f419,f450,f140]) ).
fof(f454,definition,
! [X0,X1,X2] :
( sQ90_spl
<=> ( equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f455,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( ~ sQ9_spl
| ~ sQ89_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f448,f454,f450,f140]) ).
fof(f458,plain,
( sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f452,f49]) ).
fof(f459,plain,
sQ89_spl,
inference(contradiction_clause,[status(thm)],[f458]) ).
fof(f460,plain,
! [X0,X1] :
( ~ sQ7_spl
| equalish(X0,X1)
| ~ next(e_2,X1)
| ~ greater(e_3,e_0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f134,f69]) ).
fof(f461,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| ~ greater(e_3,X2)
| ~ greater(X0,e_2)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f134,f66]) ).
fof(f462,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ greater(e_3,e_0)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f134,f64]) ).
fof(f463,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f134,f60]) ).
fof(f464,definition,
! [X0,X1] :
( sQ91_spl
<=> ( equalish(X0,X1)
| ~ next(e_2,X1)
| ~ product(e_2,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f465,plain,
! [X0,X1] :
( ~ sQ91_spl
| equalish(X0,X1)
| ~ next(e_2,X1)
| ~ product(e_2,e_1,X0) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( ~ sQ7_spl
| ~ sQ85_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f460,f464,f422,f133]) ).
fof(f468,definition,
! [X0,X1,X2] :
( sQ92_spl
<=> ( equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f469,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,plain,
( ~ sQ7_spl
| ~ sQ85_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f462,f468,f422,f133]) ).
fof(f472,plain,
! [X0,X1] :
( ~ sQ6_spl
| equalish(X0,X1)
| ~ next(e_2,X1)
| ~ greater(e_2,e_0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f131,f69]) ).
fof(f473,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| ~ greater(e_2,X2)
| ~ greater(X0,e_2)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f131,f66]) ).
fof(f474,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ greater(e_2,e_0)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f131,f64]) ).
fof(f475,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f131,f60]) ).
fof(f476,plain,
( ~ sQ6_spl
| ~ sQ87_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f472,f464,f436,f130]) ).
fof(f477,definition,
! [X0,X1,X2] :
( sQ93_spl
<=> ( equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f478,plain,
! [X0,X1,X2] :
( ~ sQ93_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,plain,
( ~ sQ6_spl
| ~ sQ87_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f474,f477,f436,f130]) ).
fof(f481,plain,
! [X0,X1] :
( ~ sQ5_spl
| equalish(X0,X1)
| ~ next(e_2,X1)
| ~ greater(e_1,e_0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f128,f69]) ).
fof(f482,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ greater(e_1,X2)
| ~ greater(X0,e_2)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f128,f66]) ).
fof(f483,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ greater(e_1,e_0)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f128,f64]) ).
fof(f484,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f128,f60]) ).
fof(f485,plain,
( ~ sQ5_spl
| ~ sQ89_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f481,f464,f450,f127]) ).
fof(f486,definition,
! [X0,X1,X2] :
( sQ94_spl
<=> ( equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f487,plain,
! [X0,X1,X2] :
( ~ sQ94_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( ~ sQ5_spl
| ~ sQ89_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f483,f486,f450,f127]) ).
fof(f490,plain,
! [X0,X1] :
( ~ sQ4_spl
| equalish(X0,X1)
| ~ next(e_2,X1)
| ~ greater(e_0,e_0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f125,f69]) ).
fof(f491,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| ~ greater(e_0,X2)
| ~ greater(X0,e_2)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f125,f66]) ).
fof(f492,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| equalish(e_0,X2)
| ~ next(X1,X2)
| ~ greater(e_0,e_0)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f125,f64]) ).
fof(f493,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_0,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f125,f60]) ).
fof(f494,plain,
( ~ sQ4_spl
| ~ sQ81_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f490,f464,f400,f124]) ).
fof(f495,definition,
! [X0,X1,X2] :
( sQ95_spl
<=> ( equalish(e_0,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f496,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(e_0,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,plain,
( ~ sQ4_spl
| ~ sQ81_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f492,f495,f400,f124]) ).
fof(f499,plain,
! [X0,X1] :
( ~ sQ3_spl
| equalish(X0,X1)
| ~ next(e_3,X1)
| ~ greater(e_3,e_0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f121,f69]) ).
fof(f500,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| ~ greater(e_3,X2)
| ~ greater(X0,e_3)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f121,f66]) ).
fof(f501,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ greater(e_3,e_0)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f121,f64]) ).
fof(f502,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_3,X0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f121,f60]) ).
fof(f503,definition,
! [X0,X1] :
( sQ96_spl
<=> ( equalish(X0,X1)
| ~ next(e_3,X1)
| ~ product(e_3,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f504,plain,
! [X0,X1] :
( ~ sQ96_spl
| equalish(X0,X1)
| ~ next(e_3,X1)
| ~ product(e_3,e_1,X0) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( ~ sQ3_spl
| ~ sQ85_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f499,f503,f422,f120]) ).
fof(f507,definition,
! [X0,X1,X2] :
( sQ97_spl
<=> ( equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f508,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,plain,
( ~ sQ3_spl
| ~ sQ85_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f501,f507,f422,f120]) ).
fof(f511,plain,
! [X0,X1] :
( ~ sQ63_spl
| equalish(X0,X1)
| ~ next(e_4,X1)
| ~ greater(e_3,e_0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f336,f69]) ).
fof(f512,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| ~ greater(e_3,X2)
| ~ greater(X0,e_4)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f336,f66]) ).
fof(f513,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ greater(e_3,e_0)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f336,f64]) ).
fof(f514,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f336,f60]) ).
fof(f515,plain,
( ~ sQ63_spl
| ~ sQ85_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f511,f411,f422,f335]) ).
fof(f516,definition,
! [X0,X1,X2] :
( sQ98_spl
<=> ( equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f517,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,plain,
( ~ sQ63_spl
| ~ sQ85_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f513,f516,f422,f335]) ).
fof(f520,plain,
! [X0,X1] :
( ~ sQ62_spl
| equalish(X0,X1)
| ~ next(e_4,X1)
| ~ greater(e_2,e_0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f333,f69]) ).
fof(f521,plain,
! [X0,X1,X2] :
( ~ sQ62_spl
| ~ greater(e_2,X2)
| ~ greater(X0,e_4)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f333,f66]) ).
fof(f522,plain,
! [X0,X1,X2] :
( ~ sQ62_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ greater(e_2,e_0)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f333,f64]) ).
fof(f523,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_2,X0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f333,f60]) ).
fof(f524,plain,
( ~ sQ62_spl
| ~ sQ87_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f520,f411,f436,f332]) ).
fof(f525,definition,
! [X0,X1,X2] :
( sQ99_spl
<=> ( equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f526,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,plain,
( ~ sQ62_spl
| ~ sQ87_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f522,f525,f436,f332]) ).
fof(f529,plain,
! [X0,X1] :
( ~ sQ61_spl
| equalish(X0,X1)
| ~ next(e_4,X1)
| ~ greater(e_1,e_0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f330,f69]) ).
fof(f530,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| ~ greater(e_1,X2)
| ~ greater(X0,e_4)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f330,f66]) ).
fof(f531,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ greater(e_1,e_0)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f330,f64]) ).
fof(f532,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_1,X0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f330,f60]) ).
fof(f533,plain,
( ~ sQ61_spl
| ~ sQ89_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f529,f411,f450,f329]) ).
fof(f534,definition,
! [X0,X1,X2] :
( sQ100_spl
<=> ( equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f535,plain,
! [X0,X1,X2] :
( ~ sQ100_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( ~ sQ61_spl
| ~ sQ89_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f531,f534,f450,f329]) ).
fof(f539,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f398,f62]) ).
fof(f540,definition,
( sQ101_spl
<=> next(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( sQ101_spl
| ~ next(e_4,e_4) ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,definition,
! [X0] :
( sQ102_spl
<=> ( equalish(e_0,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f544,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_0,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( ~ sQ80_spl
| sQ102_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f539,f540,f543,f397]) ).
fof(f547,plain,
! [X0,X1] :
( ~ greater(e_0,X1)
| ~ greater(e_4,e_4)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f404,f62]) ).
fof(f548,definition,
! [X0,X1] :
( sQ103_spl
<=> ( ~ greater(e_0,X1)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f549,plain,
! [X0,X1] :
( ~ sQ103_spl
| ~ greater(e_0,X1)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,definition,
( sQ104_spl
<=> greater(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( sQ104_spl
| ~ greater(e_4,e_4) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( ~ sQ104_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f547,f548,f551]) ).
fof(f555,plain,
! [X0,X1] :
( ~ sQ2_spl
| equalish(X0,X1)
| ~ next(e_3,X1)
| ~ greater(e_2,e_0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f118,f69]) ).
fof(f556,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ greater(e_2,X2)
| ~ greater(X0,e_3)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f118,f66]) ).
fof(f557,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ greater(e_2,e_0)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f118,f64]) ).
fof(f558,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_2,X0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f118,f60]) ).
fof(f559,plain,
( ~ sQ2_spl
| ~ sQ87_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f555,f503,f436,f117]) ).
fof(f560,definition,
! [X0,X1,X2] :
( sQ105_spl
<=> ( equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f561,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,plain,
( ~ sQ2_spl
| ~ sQ87_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f557,f560,f436,f117]) ).
fof(f564,plain,
! [X0,X1] :
( ~ sQ1_spl
| equalish(X0,X1)
| ~ next(e_3,X1)
| ~ greater(e_1,e_0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f115,f69]) ).
fof(f565,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ greater(e_1,X2)
| ~ greater(X0,e_3)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f115,f66]) ).
fof(f566,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ greater(e_1,e_0)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f115,f64]) ).
fof(f567,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_1,X0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f115,f60]) ).
fof(f568,plain,
( ~ sQ1_spl
| ~ sQ89_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f564,f503,f450,f114]) ).
fof(f569,definition,
! [X0,X1,X2] :
( sQ106_spl
<=> ( equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f570,plain,
! [X0,X1,X2] :
( ~ sQ106_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( ~ sQ1_spl
| ~ sQ89_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f566,f569,f450,f114]) ).
fof(f573,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ greater(e_0,X1)
| ~ greater(e_3,e_4)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f112,f404]) ).
fof(f574,plain,
! [X0,X1] :
( ~ sQ0_spl
| equalish(X0,X1)
| ~ next(e_3,X1)
| ~ greater(e_0,e_0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f112,f69]) ).
fof(f575,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ greater(e_0,X2)
| ~ greater(X0,e_3)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f112,f66]) ).
fof(f576,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| equalish(e_0,X2)
| ~ next(X1,X2)
| ~ greater(e_0,e_0)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f112,f64]) ).
fof(f577,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_0,X0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f112,f60]) ).
fof(f578,definition,
! [X0,X1] :
( sQ107_spl
<=> ( ~ greater(e_0,X1)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f579,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ greater(e_0,X1)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,definition,
( sQ108_spl
<=> greater(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f583,plain,
( sQ108_spl
| ~ greater(e_3,e_4) ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( ~ sQ0_spl
| ~ sQ108_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f573,f578,f581,f111]) ).
fof(f585,plain,
( ~ sQ0_spl
| ~ sQ81_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f574,f503,f400,f111]) ).
fof(f586,definition,
! [X0,X1,X2] :
( sQ109_spl
<=> ( equalish(e_0,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f587,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| equalish(e_0,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,plain,
( ~ sQ0_spl
| ~ sQ81_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f576,f586,f400,f111]) ).
fof(f591,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| ~ greater(e_3,X2)
| ~ greater(X0,e_1)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f147,f66]) ).
fof(f593,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,X0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f147,f60]) ).
fof(f603,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ greater(e_2,X2)
| ~ greater(X0,e_3)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f118,f66]) ).
fof(f605,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_2,X0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f118,f60]) ).
fof(f608,plain,
( ~ sQ23_spl
| ~ greater(e_4,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f192,f67]) ).
fof(f609,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f100]) ).
fof(f610,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f99]) ).
fof(f611,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f192,f92]) ).
fof(f612,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f192,f90]) ).
fof(f613,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f192,f88]) ).
fof(f614,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f192,f97]) ).
fof(f615,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f192,f95]) ).
fof(f616,definition,
( sQ110_spl
<=> greater(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f618,plain,
( sQ110_spl
| ~ greater(e_4,e_3) ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,plain,
( ~ sQ23_spl
| ~ sQ110_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f608,f111,f616,f191]) ).
fof(f620,definition,
! [X0] :
( sQ111_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f621,plain,
! [X0] :
( ~ sQ111_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,definition,
( sQ112_spl
<=> equalish(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( ~ sQ112_spl
| equalish(e_4,e_3) ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,plain,
( ~ sQ23_spl
| sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f609,f620,f623,f191]) ).
fof(f627,definition,
( sQ113_spl
<=> equalish(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( ~ sQ113_spl
| equalish(e_4,e_1) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,plain,
( ~ sQ23_spl
| sQ113_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f610,f620,f627,f191]) ).
fof(f631,plain,
( ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f628,f83]) ).
fof(f632,plain,
~ sQ113_spl,
inference(contradiction_clause,[status(thm)],[f631]) ).
fof(f633,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f624,f85]) ).
fof(f634,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f633]) ).
fof(f635,plain,
( sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f618,f58]) ).
fof(f636,plain,
sQ110_spl,
inference(contradiction_clause,[status(thm)],[f635]) ).
fof(f637,plain,
( ~ sQ111_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f621,f93]) ).
fof(f639,plain,
( ~ sQ22_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f189,f102]) ).
fof(f640,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f189,f100]) ).
fof(f641,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f189,f99]) ).
fof(f642,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f189,f92]) ).
fof(f643,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f189,f90]) ).
fof(f644,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f189,f88]) ).
fof(f645,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f189,f97]) ).
fof(f646,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f189,f95]) ).
fof(f647,definition,
( sQ114_spl
<=> greater(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( sQ114_spl
| ~ greater(e_3,e_3) ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f651,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f639,f80]) ).
fof(f652,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f651]) ).
fof(f653,plain,
( ~ sQ21_spl
| ~ greater(e_2,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f186,f67]) ).
fof(f654,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f186,f100]) ).
fof(f655,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f186,f99]) ).
fof(f656,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f186,f92]) ).
fof(f657,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f186,f90]) ).
fof(f658,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f186,f88]) ).
fof(f659,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f186,f97]) ).
fof(f660,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f186,f95]) ).
fof(f661,definition,
( sQ115_spl
<=> greater(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( sQ115_spl
| ~ greater(e_2,e_3) ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,plain,
( ~ sQ21_spl
| ~ sQ115_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f653,f111,f661,f185]) ).
fof(f665,definition,
! [X0] :
( sQ116_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f666,plain,
! [X0] :
( ~ sQ116_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,definition,
( sQ117_spl
<=> equalish(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f669,plain,
( ~ sQ117_spl
| equalish(e_2,e_3) ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( ~ sQ21_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f654,f665,f668,f185]) ).
fof(f672,definition,
( sQ118_spl
<=> equalish(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f673,plain,
( ~ sQ118_spl
| equalish(e_2,e_1) ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f675,plain,
( ~ sQ21_spl
| sQ118_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f655,f665,f672,f185]) ).
fof(f676,plain,
( ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f673,f77]) ).
fof(f677,plain,
~ sQ118_spl,
inference(contradiction_clause,[status(thm)],[f676]) ).
fof(f678,plain,
( ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f669,f78]) ).
fof(f679,plain,
~ sQ117_spl,
inference(contradiction_clause,[status(thm)],[f678]) ).
fof(f681,plain,
( ~ sQ20_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f183,f103]) ).
fof(f682,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f183,f100]) ).
fof(f683,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f183,f99]) ).
fof(f684,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f183,f92]) ).
fof(f685,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f183,f90]) ).
fof(f686,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f183,f88]) ).
fof(f687,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f183,f97]) ).
fof(f688,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f183,f95]) ).
fof(f689,definition,
( sQ119_spl
<=> greater(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f691,plain,
( sQ119_spl
| ~ greater(e_1,e_3) ),
inference(component_clause,[status(thm)],[f689]) ).
fof(f693,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f681,f75]) ).
fof(f694,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f693]) ).
fof(f695,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f179,f100]) ).
fof(f696,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f179,f99]) ).
fof(f697,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f179,f92]) ).
fof(f698,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f179,f90]) ).
fof(f699,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f179,f88]) ).
fof(f700,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f179,f97]) ).
fof(f701,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f179,f95]) ).
fof(f702,definition,
! [X0] :
( sQ120_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f703,plain,
! [X0] :
( ~ sQ120_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f705,plain,
( ~ sQ19_spl
| sQ112_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f695,f702,f623,f178]) ).
fof(f706,definition,
( sQ121_spl
<=> equalish(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f707,plain,
( ~ sQ121_spl
| equalish(e_4,e_2) ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,plain,
( ~ sQ19_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f696,f702,f706,f178]) ).
fof(f710,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f707,f84]) ).
fof(f711,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f710]) ).
fof(f712,plain,
( ~ sQ18_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f176,f102]) ).
fof(f713,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f176,f100]) ).
fof(f714,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f176,f99]) ).
fof(f715,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f176,f92]) ).
fof(f716,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f176,f90]) ).
fof(f717,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_3,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f176,f88]) ).
fof(f718,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f176,f97]) ).
fof(f719,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f176,f95]) ).
fof(f720,plain,
( ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f712,f81]) ).
fof(f721,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f720]) ).
fof(f722,plain,
( ~ sQ17_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f173,f103]) ).
fof(f723,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f173,f100]) ).
fof(f724,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f173,f99]) ).
fof(f725,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f173,f92]) ).
fof(f726,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f173,f90]) ).
fof(f727,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f173,f88]) ).
fof(f728,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f173,f97]) ).
fof(f729,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f173,f95]) ).
fof(f730,plain,
( ~ sQ17_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f722,f668,f172]) ).
fof(f731,definition,
! [X0] :
( sQ122_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f732,plain,
! [X0] :
( ~ sQ122_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,plain,
( ~ sQ17_spl
| sQ117_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f723,f731,f668,f172]) ).
fof(f735,definition,
( sQ123_spl
<=> equalish(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f738,plain,
( ~ sQ17_spl
| sQ123_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f724,f731,f735,f172]) ).
fof(f739,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f170,f100]) ).
fof(f740,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f170,f99]) ).
fof(f741,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f170,f92]) ).
fof(f742,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f170,f90]) ).
fof(f743,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_1,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f170,f88]) ).
fof(f744,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f170,f97]) ).
fof(f745,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f170,f95]) ).
fof(f746,definition,
! [X0] :
( sQ124_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f747,plain,
! [X0] :
( ~ sQ124_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,definition,
( sQ125_spl
<=> equalish(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( ~ sQ125_spl
| equalish(e_1,e_3) ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,plain,
( ~ sQ16_spl
| sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f739,f746,f749,f169]) ).
fof(f753,definition,
( sQ126_spl
<=> equalish(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( ~ sQ126_spl
| equalish(e_1,e_2) ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,plain,
( ~ sQ16_spl
| sQ126_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f740,f746,f753,f169]) ).
fof(f757,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f754,f74]) ).
fof(f758,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f757]) ).
fof(f759,plain,
( ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f750,f75]) ).
fof(f760,plain,
~ sQ125_spl,
inference(contradiction_clause,[status(thm)],[f759]) ).
fof(f763,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f166,f92]) ).
fof(f764,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f166,f90]) ).
fof(f765,plain,
( ~ sQ15_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f166,f98]) ).
fof(f766,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f166,f88]) ).
fof(f767,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f166,f97]) ).
fof(f768,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f166,f95]) ).
fof(f769,definition,
! [X0] :
( sQ127_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f770,plain,
! [X0] :
( ~ sQ127_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f774,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f765,f82]) ).
fof(f775,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f774]) ).
fof(f776,plain,
( ~ sQ116_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f666,f93]) ).
fof(f777,plain,
( ~ sQ120_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f703,f93]) ).
fof(f778,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f659,f93]) ).
fof(f779,plain,
( ~ sQ21_spl
| sQ126_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f778,f665,f753,f185]) ).
fof(f780,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f660,f93]) ).
fof(f781,definition,
( sQ128_spl
<=> equalish(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f782,plain,
( ~ sQ128_spl
| equalish(e_3,e_2) ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,plain,
( ~ sQ21_spl
| sQ128_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f780,f665,f781,f185]) ).
fof(f785,plain,
( ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f782,f81]) ).
fof(f786,plain,
~ sQ128_spl,
inference(contradiction_clause,[status(thm)],[f785]) ).
fof(f787,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f744,f170]) ).
fof(f788,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f744,f93]) ).
fof(f789,definition,
! [X0] :
( sQ129_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f790,plain,
! [X0] :
( ~ sQ129_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f792,plain,
( ~ sQ16_spl
| sQ123_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f787,f789,f735,f169]) ).
fof(f793,plain,
( ~ sQ16_spl
| sQ118_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f788,f746,f672,f169]) ).
fof(f794,plain,
! [X0] :
( ~ sQ129_spl
| ~ product(X0,e_2,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f790]) ).
fof(f795,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f745,f170]) ).
fof(f796,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f745,f93]) ).
fof(f797,definition,
( sQ130_spl
<=> equalish(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f800,plain,
( ~ sQ16_spl
| sQ130_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f795,f789,f797,f169]) ).
fof(f801,definition,
( sQ131_spl
<=> equalish(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( ~ sQ131_spl
| equalish(e_3,e_1) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( ~ sQ16_spl
| sQ131_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f796,f746,f801,f169]) ).
fof(f805,plain,
( ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f802,f80]) ).
fof(f806,plain,
~ sQ131_spl,
inference(contradiction_clause,[status(thm)],[f805]) ).
fof(f807,plain,
( ~ sQ127_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f770,f93]) ).
fof(f811,plain,
( ~ sQ21_spl
| ~ sQ13_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f160,f657]) ).
fof(f812,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ13_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f160,f660]) ).
fof(f813,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ13_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f160,f659]) ).
fof(f814,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f160,f100]) ).
fof(f816,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f160,f92]) ).
fof(f817,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f160,f90]) ).
fof(f818,plain,
( ~ sQ13_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f160,f98]) ).
fof(f819,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f160,f88]) ).
fof(f820,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f160,f97]) ).
fof(f821,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f160,f95]) ).
fof(f822,plain,
( ~ sQ21_spl
| ~ sQ13_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f811,f749,f159,f185]) ).
fof(f823,definition,
! [X0] :
( sQ132_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f824,plain,
! [X0] :
( ~ sQ132_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,plain,
( ~ sQ21_spl
| ~ sQ13_spl
| sQ130_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f812,f823,f797,f159,f185]) ).
fof(f827,plain,
( ~ sQ21_spl
| ~ sQ13_spl
| sQ125_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f813,f823,f749,f159,f185]) ).
fof(f828,definition,
! [X0] :
( sQ133_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f829,plain,
! [X0] :
( ~ sQ133_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f831,plain,
( ~ sQ13_spl
| sQ117_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f814,f828,f668,f159]) ).
fof(f833,plain,
( ~ sQ13_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f818,f781,f159]) ).
fof(f834,plain,
( ~ sQ133_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f829,f93]) ).
fof(f835,plain,
( ~ sQ132_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f824,f93]) ).
fof(f836,plain,
( ~ sQ16_spl
| ~ sQ12_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f157,f742]) ).
fof(f837,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f157,f100]) ).
fof(f839,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f157,f92]) ).
fof(f840,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f157,f90]) ).
fof(f841,plain,
( ~ sQ12_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f157,f98]) ).
fof(f842,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f157,f88]) ).
fof(f843,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f157,f97]) ).
fof(f844,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f157,f95]) ).
fof(f845,plain,
( ~ sQ16_spl
| ~ sQ12_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f836,f668,f156,f169]) ).
fof(f846,definition,
! [X0] :
( sQ134_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f847,plain,
! [X0] :
( ~ sQ134_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,plain,
( ~ sQ12_spl
| sQ125_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f837,f846,f749,f156]) ).
fof(f851,plain,
( ~ sQ12_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f841,f801,f156]) ).
fof(f852,plain,
( ~ sQ134_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f847,f93]) ).
fof(f853,plain,
( ~ sQ35_spl
| ~ greater(e_4,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f234,f67]) ).
fof(f854,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f234,f100]) ).
fof(f855,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f234,f99]) ).
fof(f856,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f234,f92]) ).
fof(f857,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f234,f90]) ).
fof(f858,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f234,f88]) ).
fof(f859,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f234,f97]) ).
fof(f860,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f234,f95]) ).
fof(f861,definition,
( sQ135_spl
<=> greater(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( sQ135_spl
| ~ greater(e_4,e_2) ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f864,plain,
( ~ sQ35_spl
| ~ sQ135_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f853,f124,f861,f233]) ).
fof(f865,definition,
! [X0] :
( sQ136_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f866,plain,
! [X0] :
( ~ sQ136_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f865]) ).
fof(f868,plain,
( ~ sQ35_spl
| sQ121_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f854,f865,f706,f233]) ).
fof(f869,plain,
( ~ sQ35_spl
| sQ113_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f855,f865,f627,f233]) ).
fof(f870,plain,
( sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f863,f57]) ).
fof(f871,plain,
sQ135_spl,
inference(contradiction_clause,[status(thm)],[f870]) ).
fof(f872,plain,
( ~ sQ136_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f866,f93]) ).
fof(f873,plain,
( ~ sQ34_spl
| ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f231,f776]) ).
fof(f874,plain,
( ~ sQ34_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f873]) ).
fof(f875,plain,
( ~ sQ21_spl
| ~ sQ33_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f228,f656]) ).
fof(f876,plain,
( ~ sQ33_spl
| ~ greater(e_2,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f228,f67]) ).
fof(f877,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ33_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f228,f660]) ).
fof(f878,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ33_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f228,f659]) ).
fof(f879,plain,
( ~ sQ33_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f228,f102]) ).
fof(f880,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f228,f100]) ).
fof(f881,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f228,f99]) ).
fof(f882,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f228,f92]) ).
fof(f883,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f228,f90]) ).
fof(f884,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f228,f88]) ).
fof(f885,plain,
! [X0,X1,X2] :
( ~ sQ33_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f228,f97]) ).
fof(f886,plain,
! [X0,X1,X2] :
( ~ sQ33_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f228,f95]) ).
fof(f887,plain,
( ~ sQ21_spl
| ~ sQ33_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f875,f781,f227,f185]) ).
fof(f888,definition,
( sQ137_spl
<=> greater(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f890,plain,
( sQ137_spl
| ~ greater(e_2,e_2) ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f891,plain,
( ~ sQ33_spl
| ~ sQ137_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f876,f124,f888,f227]) ).
fof(f892,definition,
! [X0] :
( sQ138_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f893,plain,
! [X0] :
( ~ sQ138_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f892]) ).
fof(f895,plain,
( ~ sQ21_spl
| ~ sQ33_spl
| sQ128_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f877,f892,f781,f227,f185]) ).
fof(f896,definition,
( sQ139_spl
<=> equalish(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f899,plain,
( ~ sQ21_spl
| ~ sQ33_spl
| sQ139_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f878,f892,f896,f227,f185]) ).
fof(f900,plain,
( ~ sQ33_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f879,f672,f227]) ).
fof(f901,definition,
! [X0] :
( sQ140_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f902,plain,
! [X0] :
( ~ sQ140_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f904,plain,
( ~ sQ33_spl
| sQ123_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f880,f901,f735,f227]) ).
fof(f905,plain,
( ~ sQ33_spl
| sQ118_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f881,f901,f672,f227]) ).
fof(f906,plain,
( ~ sQ140_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f902,f93]) ).
fof(f907,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f859,f93]) ).
fof(f908,definition,
( sQ141_spl
<=> equalish(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f909,plain,
( ~ sQ141_spl
| equalish(e_1,e_4) ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f911,plain,
( ~ sQ35_spl
| sQ141_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f907,f865,f908,f233]) ).
fof(f912,plain,
( ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f909,f76]) ).
fof(f913,plain,
~ sQ141_spl,
inference(contradiction_clause,[status(thm)],[f912]) ).
fof(f914,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f860,f93]) ).
fof(f915,definition,
( sQ142_spl
<=> equalish(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f916,plain,
( ~ sQ142_spl
| equalish(e_2,e_4) ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,plain,
( ~ sQ35_spl
| sQ142_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f914,f865,f915,f233]) ).
fof(f919,plain,
( ~ sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f916,f79]) ).
fof(f920,plain,
~ sQ142_spl,
inference(contradiction_clause,[status(thm)],[f919]) ).
fof(f921,plain,
( ~ sQ35_spl
| ~ sQ32_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f225,f858]) ).
fof(f922,plain,
( ~ sQ32_spl
| ~ greater(e_1,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f225,f67]) ).
fof(f923,plain,
( ~ sQ32_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f225,f103]) ).
fof(f924,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f225,f100]) ).
fof(f925,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f225,f99]) ).
fof(f926,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f225,f92]) ).
fof(f927,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f225,f90]) ).
fof(f928,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f225,f88]) ).
fof(f929,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f225,f97]) ).
fof(f930,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f225,f95]) ).
fof(f931,plain,
( ~ sQ35_spl
| ~ sQ32_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f921,f627,f224,f233]) ).
fof(f932,definition,
( sQ143_spl
<=> greater(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f934,plain,
( sQ143_spl
| ~ greater(e_1,e_2) ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f935,plain,
( ~ sQ32_spl
| ~ sQ143_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f922,f124,f932,f224]) ).
fof(f936,plain,
( ~ sQ32_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f923,f753,f224]) ).
fof(f937,definition,
! [X0] :
( sQ144_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f938,plain,
! [X0] :
( ~ sQ144_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,plain,
( ~ sQ32_spl
| sQ126_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f924,f937,f753,f224]) ).
fof(f941,plain,
( ~ sQ32_spl
| sQ139_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f925,f937,f896,f224]) ).
fof(f942,plain,
( ~ sQ35_spl
| ~ sQ31_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f221,f857]) ).
fof(f943,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ31_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f221,f860]) ).
fof(f944,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ31_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f221,f859]) ).
fof(f945,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f221,f100]) ).
fof(f947,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f221,f92]) ).
fof(f948,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f221,f90]) ).
fof(f949,plain,
( ~ sQ31_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f221,f98]) ).
fof(f950,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f221,f88]) ).
fof(f951,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f221,f97]) ).
fof(f952,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f221,f95]) ).
fof(f953,plain,
( ~ sQ35_spl
| ~ sQ31_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f942,f753,f220,f233]) ).
fof(f954,plain,
( ~ sQ35_spl
| ~ sQ31_spl
| sQ123_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f943,f901,f735,f220,f233]) ).
fof(f955,plain,
( ~ sQ35_spl
| ~ sQ31_spl
| sQ126_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f944,f901,f753,f220,f233]) ).
fof(f956,definition,
! [X0] :
( sQ145_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f957,plain,
! [X0] :
( ~ sQ145_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f956]) ).
fof(f959,plain,
( ~ sQ31_spl
| sQ121_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f945,f956,f706,f220]) ).
fof(f961,plain,
( ~ sQ31_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f949,f915,f220]) ).
fof(f962,plain,
( ~ sQ145_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f957,f93]) ).
fof(f963,plain,
( ~ sQ30_spl
| ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f218,f794]) ).
fof(f964,plain,
( ~ sQ30_spl
| ~ sQ129_spl ),
inference(contradiction_clause,[status(thm)],[f963]) ).
fof(f974,plain,
( ~ sQ16_spl
| ~ sQ28_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f212,f741]) ).
fof(f975,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ28_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f212,f744]) ).
fof(f976,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ28_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f212,f745]) ).
fof(f977,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f212,f100]) ).
fof(f979,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f212,f92]) ).
fof(f980,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f212,f90]) ).
fof(f981,plain,
( ~ sQ28_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f212,f98]) ).
fof(f982,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f212,f88]) ).
fof(f983,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f212,f97]) ).
fof(f984,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f212,f95]) ).
fof(f985,plain,
( ~ sQ16_spl
| ~ sQ28_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f974,f781,f211,f169]) ).
fof(f986,plain,
( ~ sQ16_spl
| ~ sQ28_spl
| sQ123_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f975,f731,f735,f211,f169]) ).
fof(f987,plain,
( ~ sQ16_spl
| ~ sQ28_spl
| sQ128_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f976,f731,f781,f211,f169]) ).
fof(f988,definition,
! [X0] :
( sQ146_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f989,plain,
! [X0] :
( ~ sQ146_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f988]) ).
fof(f991,plain,
( ~ sQ28_spl
| sQ126_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f977,f988,f753,f211]) ).
fof(f993,plain,
( ~ sQ28_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f981,f672,f211]) ).
fof(f994,plain,
( ~ sQ146_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f989,f93]) ).
fof(f995,plain,
( ~ sQ35_spl
| ~ sQ27_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f208,f857]) ).
fof(f996,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ27_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f208,f860]) ).
fof(f997,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ27_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f208,f859]) ).
fof(f998,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f208,f100]) ).
fof(f999,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f208,f99]) ).
fof(f1000,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f208,f92]) ).
fof(f1001,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f208,f90]) ).
fof(f1002,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f208,f88]) ).
fof(f1003,plain,
! [X0,X1,X2] :
( ~ sQ27_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f208,f97]) ).
fof(f1004,plain,
! [X0,X1,X2] :
( ~ sQ27_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f208,f95]) ).
fof(f1005,plain,
( ~ sQ35_spl
| ~ sQ27_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f995,f749,f207,f233]) ).
fof(f1006,definition,
! [X0] :
( sQ147_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1007,plain,
! [X0] :
( ~ sQ147_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1006]) ).
fof(f1009,plain,
( ~ sQ35_spl
| ~ sQ27_spl
| sQ123_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f996,f1006,f735,f207,f233]) ).
fof(f1010,plain,
( ~ sQ35_spl
| ~ sQ27_spl
| sQ125_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f997,f1006,f749,f207,f233]) ).
fof(f1011,definition,
! [X0] :
( sQ148_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1012,plain,
! [X0] :
( ~ sQ148_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1011]) ).
fof(f1014,plain,
( ~ sQ27_spl
| sQ121_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f998,f1011,f706,f207]) ).
fof(f1015,plain,
( ~ sQ27_spl
| sQ112_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f999,f1011,f623,f207]) ).
fof(f1016,plain,
( ~ sQ148_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1012,f93]) ).
fof(f1017,plain,
( ~ sQ134_spl
| ~ sQ26_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f205,f847]) ).
fof(f1018,plain,
( ~ sQ132_spl
| ~ sQ26_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f205,f824]) ).
fof(f1019,plain,
( ~ sQ133_spl
| ~ sQ26_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f205,f829]) ).
fof(f1020,plain,
( ~ sQ26_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f205,f103]) ).
fof(f1021,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f100]) ).
fof(f1022,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f99]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f92]) ).
fof(f1024,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f205,f90]) ).
fof(f1025,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f205,f88]) ).
fof(f1026,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f205,f97]) ).
fof(f1027,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f205,f95]) ).
fof(f1028,plain,
( ~ sQ133_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1019,f93]) ).
fof(f1029,plain,
( ~ sQ133_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1028]) ).
fof(f1030,plain,
( ~ sQ147_spl
| ~ sQ25_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f202,f1007]) ).
fof(f1031,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ25_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f202,f660]) ).
fof(f1032,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ25_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f202,f659]) ).
fof(f1033,plain,
( ~ sQ25_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f202,f102]) ).
fof(f1034,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f202,f100]) ).
fof(f1035,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f202,f99]) ).
fof(f1036,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f202,f92]) ).
fof(f1037,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f202,f90]) ).
fof(f1038,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f202,f88]) ).
fof(f1039,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f202,f97]) ).
fof(f1040,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f202,f95]) ).
fof(f1041,definition,
! [X0] :
( sQ149_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1042,plain,
! [X0] :
( ~ sQ149_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1041]) ).
fof(f1044,plain,
( ~ sQ21_spl
| ~ sQ25_spl
| sQ128_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f1031,f1041,f781,f201,f185]) ).
fof(f1045,plain,
( ~ sQ21_spl
| ~ sQ25_spl
| sQ125_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f1032,f1041,f749,f201,f185]) ).
fof(f1046,plain,
( ~ sQ25_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f1033,f668,f201]) ).
fof(f1047,definition,
! [X0] :
( sQ150_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1048,plain,
! [X0] :
( ~ sQ150_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1047]) ).
fof(f1050,plain,
( ~ sQ25_spl
| sQ123_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1034,f1047,f735,f201]) ).
fof(f1051,plain,
( ~ sQ25_spl
| sQ117_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1035,f1047,f668,f201]) ).
fof(f1052,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ24_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f199,f744]) ).
fof(f1053,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ24_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f199,f745]) ).
fof(f1054,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f199,f100]) ).
fof(f1055,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f199,f99]) ).
fof(f1056,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f199,f92]) ).
fof(f1057,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f199,f90]) ).
fof(f1058,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f199,f88]) ).
fof(f1059,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f199,f97]) ).
fof(f1060,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f199,f95]) ).
fof(f1061,definition,
! [X0] :
( sQ151_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1062,plain,
! [X0] :
( ~ sQ151_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1061]) ).
fof(f1064,plain,
( ~ sQ16_spl
| ~ sQ24_spl
| sQ117_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f1052,f1061,f668,f198,f169]) ).
fof(f1065,plain,
( ~ sQ16_spl
| ~ sQ24_spl
| sQ128_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f1053,f1061,f781,f198,f169]) ).
fof(f1066,definition,
! [X0] :
( sQ152_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1067,plain,
! [X0] :
( ~ sQ152_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1066]) ).
fof(f1069,plain,
( ~ sQ24_spl
| sQ126_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1054,f1066,f753,f198]) ).
fof(f1070,plain,
( ~ sQ24_spl
| sQ125_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1055,f1066,f749,f198]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1059,f199]) ).
fof(f1072,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1059,f93]) ).
fof(f1073,definition,
! [X0] :
( sQ153_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1074,plain,
! [X0] :
( ~ sQ153_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1073]) ).
fof(f1076,plain,
( ~ sQ24_spl
| sQ130_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1071,f1073,f797,f198]) ).
fof(f1077,plain,
( ~ sQ24_spl
| sQ131_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1072,f1066,f801,f198]) ).
fof(f1078,plain,
! [X0] :
( ~ sQ153_spl
| ~ product(X0,e_3,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f1074]) ).
fof(f1079,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1060,f199]) ).
fof(f1080,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1060,f93]) ).
fof(f1081,plain,
( ~ sQ24_spl
| sQ123_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1079,f1073,f735,f198]) ).
fof(f1082,plain,
( ~ sQ24_spl
| sQ118_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1080,f1066,f672,f198]) ).
fof(f1083,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f700,f93]) ).
fof(f1084,plain,
( ~ sQ19_spl
| sQ142_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f1083,f702,f915,f178]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f701,f93]) ).
fof(f1086,definition,
( sQ154_spl
<=> equalish(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1087,plain,
( ~ sQ154_spl
| equalish(e_3,e_4) ),
inference(component_clause,[status(thm)],[f1086]) ).
fof(f1089,plain,
( ~ sQ19_spl
| sQ154_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f1085,f702,f1086,f178]) ).
fof(f1090,plain,
( ~ sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1087,f82]) ).
fof(f1091,plain,
~ sQ154_spl,
inference(contradiction_clause,[status(thm)],[f1090]) ).
fof(f1095,plain,
( ~ sQ35_spl
| ~ sQ47_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f276,f856]) ).
fof(f1096,plain,
( ~ sQ47_spl
| ~ greater(e_4,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f276,f67]) ).
fof(f1097,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ47_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f276,f701]) ).
fof(f1098,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ47_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f276,f700]) ).
fof(f1099,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ47_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f276,f860]) ).
fof(f1100,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ47_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f276,f859]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f276,f100]) ).
fof(f1103,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f276,f92]) ).
fof(f1104,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f276,f90]) ).
fof(f1105,plain,
( ~ sQ47_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f276,f98]) ).
fof(f1106,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f276,f88]) ).
fof(f1107,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f276,f97]) ).
fof(f1108,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f276,f95]) ).
fof(f1109,plain,
( ~ sQ35_spl
| ~ sQ47_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f1095,f672,f275,f233]) ).
fof(f1110,definition,
( sQ155_spl
<=> greater(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
( sQ155_spl
| ~ greater(e_4,e_1) ),
inference(component_clause,[status(thm)],[f1110]) ).
fof(f1113,plain,
( ~ sQ47_spl
| ~ sQ155_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1096,f137,f1110,f275]) ).
fof(f1114,plain,
( ~ sQ19_spl
| ~ sQ47_spl
| sQ131_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f1097,f746,f801,f275,f178]) ).
fof(f1115,plain,
( ~ sQ19_spl
| ~ sQ47_spl
| sQ118_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f1098,f746,f672,f275,f178]) ).
fof(f1116,plain,
( ~ sQ35_spl
| ~ sQ47_spl
| sQ118_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1099,f937,f672,f275,f233]) ).
fof(f1117,plain,
( ~ sQ35_spl
| ~ sQ47_spl
| sQ139_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1100,f937,f896,f275,f233]) ).
fof(f1118,definition,
! [X0] :
( sQ156_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1119,plain,
! [X0] :
( ~ sQ156_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1118]) ).
fof(f1121,plain,
( ~ sQ47_spl
| sQ113_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1101,f1118,f627,f275]) ).
fof(f1123,plain,
( ~ sQ47_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1105,f908,f275]) ).
fof(f1124,plain,
( sQ155_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1112,f55]) ).
fof(f1125,plain,
sQ155_spl,
inference(contradiction_clause,[status(thm)],[f1124]) ).
fof(f1127,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ greater(e_2,X2)
| ~ greater(X0,e_1)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f144,f66]) ).
fof(f1129,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_2,X0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f144,f60]) ).
fof(f1132,plain,
( ~ sQ138_spl
| ~ sQ46_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f273,f893]) ).
fof(f1133,plain,
( ~ sQ46_spl
| ~ greater(e_3,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f273,f67]) ).
fof(f1134,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f273,f100]) ).
fof(f1136,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f273,f92]) ).
fof(f1137,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f273,f90]) ).
fof(f1138,plain,
( ~ sQ46_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f273,f98]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f273,f88]) ).
fof(f1140,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f273,f97]) ).
fof(f1141,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f273,f95]) ).
fof(f1142,definition,
( sQ157_spl
<=> greater(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1144,plain,
( sQ157_spl
| ~ greater(e_3,e_1) ),
inference(component_clause,[status(thm)],[f1142]) ).
fof(f1145,plain,
( ~ sQ46_spl
| ~ sQ157_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1133,f137,f1142,f272]) ).
fof(f1146,plain,
( ~ sQ46_spl
| sQ131_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1134,f846,f801,f272]) ).
fof(f1148,plain,
( ~ sQ46_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1138,f749,f272]) ).
fof(f1149,plain,
( sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1144,f54]) ).
fof(f1150,plain,
sQ157_spl,
inference(contradiction_clause,[status(thm)],[f1149]) ).
fof(f1151,plain,
( ~ sQ144_spl
| ~ sQ45_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f270,f938]) ).
fof(f1152,plain,
( ~ sQ21_spl
| ~ sQ45_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f270,f656]) ).
fof(f1153,plain,
( ~ sQ45_spl
| ~ greater(e_2,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f270,f67]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ45_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f270,f660]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ45_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f270,f659]) ).
fof(f1156,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f270,f100]) ).
fof(f1157,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f270,f99]) ).
fof(f1158,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f270,f92]) ).
fof(f1159,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f270,f90]) ).
fof(f1160,plain,
( ~ sQ45_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f270,f98]) ).
fof(f1161,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f270,f88]) ).
fof(f1162,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f270,f97]) ).
fof(f1163,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f270,f95]) ).
fof(f1164,plain,
( ~ sQ144_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1151,f93]) ).
fof(f1165,plain,
( ~ sQ144_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1164]) ).
fof(f1166,plain,
( ~ sQ19_spl
| ~ sQ43_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f263,f697]) ).
fof(f1167,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ43_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f263,f701]) ).
fof(f1168,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ43_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f263,f700]) ).
fof(f1169,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ43_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f263,f860]) ).
fof(f1170,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ43_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f263,f859]) ).
fof(f1171,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f263,f100]) ).
fof(f1172,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f263,f99]) ).
fof(f1173,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f263,f92]) ).
fof(f1174,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f263,f90]) ).
fof(f1175,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f263,f88]) ).
fof(f1176,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f263,f97]) ).
fof(f1177,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f263,f95]) ).
fof(f1178,plain,
( ~ sQ19_spl
| ~ sQ43_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f1166,f801,f262,f178]) ).
fof(f1179,definition,
! [X0] :
( sQ158_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1180,plain,
! [X0] :
( ~ sQ158_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1179]) ).
fof(f1182,plain,
( ~ sQ19_spl
| ~ sQ43_spl
| sQ131_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f1167,f1179,f801,f262,f178]) ).
fof(f1183,plain,
( ~ sQ19_spl
| ~ sQ43_spl
| sQ123_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f1168,f1179,f735,f262,f178]) ).
fof(f1184,definition,
! [X0] :
( sQ159_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1185,plain,
! [X0] :
( ~ sQ159_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1184]) ).
fof(f1187,plain,
( ~ sQ35_spl
| ~ sQ43_spl
| sQ118_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1169,f1184,f672,f262,f233]) ).
fof(f1188,plain,
( ~ sQ35_spl
| ~ sQ43_spl
| sQ126_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1170,f1184,f753,f262,f233]) ).
fof(f1189,definition,
! [X0] :
( sQ160_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1190,plain,
! [X0] :
( ~ sQ160_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1189]) ).
fof(f1192,plain,
( ~ sQ43_spl
| sQ113_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f1171,f1189,f627,f262]) ).
fof(f1193,plain,
( ~ sQ43_spl
| sQ121_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f1172,f1189,f706,f262]) ).
fof(f1194,plain,
( ~ sQ122_spl
| ~ sQ42_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f260,f732]) ).
fof(f1195,plain,
( ~ sQ124_spl
| ~ sQ42_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f260,f747]) ).
fof(f1196,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f260,f100]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f260,f99]) ).
fof(f1198,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f260,f92]) ).
fof(f1199,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f260,f90]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f260,f88]) ).
fof(f1201,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f260,f97]) ).
fof(f1202,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f260,f95]) ).
fof(f1203,plain,
( ~ sQ124_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1195,f93]) ).
fof(f1204,plain,
( ~ sQ124_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1203]) ).
fof(f1205,plain,
( ~ sQ146_spl
| ~ sQ41_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f257,f989]) ).
fof(f1206,plain,
( ~ sQ140_spl
| ~ sQ41_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f257,f902]) ).
fof(f1207,plain,
( ~ sQ116_spl
| ~ sQ41_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f257,f666]) ).
fof(f1208,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ41_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f257,f660]) ).
fof(f1209,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ41_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f257,f659]) ).
fof(f1210,plain,
( ~ sQ41_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f257,f103]) ).
fof(f1211,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f257,f100]) ).
fof(f1212,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f257,f99]) ).
fof(f1213,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f257,f92]) ).
fof(f1214,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f257,f90]) ).
fof(f1215,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f257,f88]) ).
fof(f1216,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f257,f97]) ).
fof(f1217,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f257,f95]) ).
fof(f1218,plain,
( ~ sQ146_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1205,f93]) ).
fof(f1219,plain,
( ~ sQ146_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1218]) ).
fof(f1220,plain,
( ~ sQ40_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f254,f102]) ).
fof(f1221,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f254,f100]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f254,f99]) ).
fof(f1223,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f254,f92]) ).
fof(f1224,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f254,f90]) ).
fof(f1225,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f254,f88]) ).
fof(f1226,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f254,f97]) ).
fof(f1227,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f254,f95]) ).
fof(f1228,plain,
( ~ sQ40_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f1220,f753,f253]) ).
fof(f1229,definition,
! [X0] :
( sQ161_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1230,plain,
! [X0] :
( ~ sQ161_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1229]) ).
fof(f1232,plain,
( ~ sQ40_spl
| sQ139_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f1221,f1229,f896,f253]) ).
fof(f1233,plain,
( ~ sQ40_spl
| sQ126_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f1222,f1229,f753,f253]) ).
fof(f1234,definition,
! [X0] :
( sQ162_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ162_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1234]) ).
fof(f1237,plain,
( ~ sQ21_spl
| ~ sQ41_spl
| sQ131_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1208,f1234,f801,f256,f185]) ).
fof(f1238,plain,
( ~ sQ21_spl
| ~ sQ41_spl
| sQ126_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1209,f1234,f753,f256,f185]) ).
fof(f1239,plain,
( ~ sQ41_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f1210,f672,f256]) ).
fof(f1240,definition,
! [X0] :
( sQ163_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1241,plain,
! [X0] :
( ~ sQ163_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1240]) ).
fof(f1243,plain,
( ~ sQ41_spl
| sQ118_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1211,f1240,f672,f256]) ).
fof(f1244,plain,
( ~ sQ41_spl
| sQ123_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1212,f1240,f735,f256]) ).
fof(f1245,plain,
( ~ sQ156_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f1119,f93]) ).
fof(f1246,plain,
( ~ sQ160_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1190,f93]) ).
fof(f1247,plain,
( ~ sQ163_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f1241,f93]) ).
fof(f1252,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1176,f93]) ).
fof(f1253,plain,
( ~ sQ43_spl
| sQ142_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f1252,f1189,f915,f262]) ).
fof(f1254,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1177,f93]) ).
fof(f1255,plain,
( ~ sQ43_spl
| sQ141_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f1254,f1189,f908,f262]) ).
fof(f1256,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f614,f93]) ).
fof(f1257,plain,
( ~ sQ23_spl
| sQ141_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f1256,f620,f908,f191]) ).
fof(f1258,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f615,f93]) ).
fof(f1259,plain,
( ~ sQ23_spl
| sQ154_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f1258,f620,f1086,f191]) ).
fof(f1260,plain,
( ~ sQ43_spl
| ~ sQ39_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f250,f1174]) ).
fof(f1261,plain,
( ~ sQ27_spl
| ~ sQ39_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f250,f1000]) ).
fof(f1262,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ39_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f250,f615]) ).
fof(f1263,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ39_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f250,f614]) ).
fof(f1264,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ39_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f250,f1177]) ).
fof(f1265,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ39_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f250,f1176]) ).
fof(f1266,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f250,f100]) ).
fof(f1267,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f250,f99]) ).
fof(f1268,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f250,f92]) ).
fof(f1269,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f250,f90]) ).
fof(f1270,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f250,f88]) ).
fof(f1271,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f250,f97]) ).
fof(f1272,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f250,f95]) ).
fof(f1273,plain,
( ~ sQ43_spl
| ~ sQ39_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f1260,f668,f249,f262]) ).
fof(f1274,plain,
( ~ sQ27_spl
| ~ sQ39_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f1261,f672,f249,f207]) ).
fof(f1275,definition,
! [X0] :
( sQ164_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ164_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1275]) ).
fof(f1278,plain,
( ~ sQ23_spl
| ~ sQ39_spl
| sQ131_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1262,f1275,f801,f249,f191]) ).
fof(f1279,plain,
( ~ sQ23_spl
| ~ sQ39_spl
| sQ125_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1263,f1275,f749,f249,f191]) ).
fof(f1280,definition,
! [X0] :
( sQ165_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1281,plain,
! [X0] :
( ~ sQ165_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1280]) ).
fof(f1283,plain,
( ~ sQ43_spl
| ~ sQ39_spl
| sQ139_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f1264,f1280,f896,f249,f262]) ).
fof(f1284,plain,
( ~ sQ43_spl
| ~ sQ39_spl
| sQ117_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f1265,f1280,f668,f249,f262]) ).
fof(f1285,definition,
! [X0] :
( sQ166_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ166_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1288,plain,
( ~ sQ39_spl
| sQ113_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f1266,f1285,f627,f249]) ).
fof(f1289,plain,
( ~ sQ39_spl
| sQ112_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f1267,f1285,f623,f249]) ).
fof(f1290,plain,
( ~ sQ166_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1286,f93]) ).
fof(f1291,plain,
( ~ sQ134_spl
| ~ sQ38_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f247,f847]) ).
fof(f1292,plain,
( ~ sQ132_spl
| ~ sQ38_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f247,f824]) ).
fof(f1293,plain,
( ~ sQ38_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f247,f103]) ).
fof(f1294,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f247,f100]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f247,f99]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f247,f92]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f247,f90]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f247,f88]) ).
fof(f1299,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f247,f97]) ).
fof(f1300,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f247,f95]) ).
fof(f1301,plain,
( ~ sQ134_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1291,f93]) ).
fof(f1302,plain,
( ~ sQ134_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1301]) ).
fof(f1303,plain,
( ~ sQ37_spl
| ~ sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f244,f1078]) ).
fof(f1304,plain,
( ~ sQ37_spl
| ~ sQ153_spl ),
inference(contradiction_clause,[status(thm)],[f1303]) ).
fof(f1306,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1004,f93]) ).
fof(f1307,plain,
( ~ sQ27_spl
| sQ142_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1306,f1011,f915,f207]) ).
fof(f1308,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1003,f93]) ).
fof(f1309,plain,
( ~ sQ27_spl
| sQ154_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1308,f1011,f1086,f207]) ).
fof(f1310,plain,
( ~ sQ164_spl
| ~ sQ36_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f241,f1276]) ).
fof(f1311,plain,
( ~ sQ165_spl
| ~ sQ36_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f241,f1281]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ36_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f241,f744]) ).
fof(f1313,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ36_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f241,f745]) ).
fof(f1314,plain,
( ~ sQ36_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f241,f102]) ).
fof(f1315,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f241,f100]) ).
fof(f1316,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f241,f99]) ).
fof(f1317,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f241,f92]) ).
fof(f1318,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f241,f90]) ).
fof(f1319,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_1,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f241,f88]) ).
fof(f1320,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f241,f97]) ).
fof(f1321,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f241,f95]) ).
fof(f1322,definition,
! [X0] :
( sQ167_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1323,plain,
! [X0] :
( ~ sQ167_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1322]) ).
fof(f1325,plain,
( ~ sQ16_spl
| ~ sQ36_spl
| sQ117_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1312,f1322,f668,f240,f169]) ).
fof(f1326,plain,
( ~ sQ16_spl
| ~ sQ36_spl
| sQ131_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1313,f1322,f801,f240,f169]) ).
fof(f1327,plain,
( ~ sQ36_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1314,f749,f240]) ).
fof(f1328,definition,
! [X0] :
( sQ168_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1329,plain,
! [X0] :
( ~ sQ168_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1328]) ).
fof(f1331,plain,
( ~ sQ36_spl
| sQ139_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1315,f1328,f896,f240]) ).
fof(f1332,plain,
( ~ sQ36_spl
| sQ125_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1316,f1328,f749,f240]) ).
fof(f1333,plain,
( ~ sQ23_spl
| ~ sQ59_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f323,f612]) ).
fof(f1334,plain,
( ~ sQ148_spl
| ~ sQ59_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f323,f1012]) ).
fof(f1335,plain,
( ~ sQ166_spl
| ~ sQ59_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f323,f1286]) ).
fof(f1336,plain,
( ~ sQ160_spl
| ~ sQ59_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f323,f1190]) ).
fof(f1337,plain,
( ~ sQ156_spl
| ~ sQ59_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f323,f1119]) ).
fof(f1338,plain,
( ~ sQ120_spl
| ~ sQ59_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f323,f703]) ).
fof(f1339,plain,
( ~ sQ145_spl
| ~ sQ59_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f323,f957]) ).
fof(f1340,plain,
( ~ sQ136_spl
| ~ sQ59_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f323,f866]) ).
fof(f1341,plain,
( ~ sQ127_spl
| ~ sQ59_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f323,f770]) ).
fof(f1342,plain,
( ~ sQ111_spl
| ~ sQ59_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f323,f621]) ).
fof(f1343,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ59_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f323,f1003]) ).
fof(f1344,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ59_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f323,f1004]) ).
fof(f1345,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ59_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f323,f615]) ).
fof(f1346,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ59_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f323,f614]) ).
fof(f1347,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ59_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f323,f1177]) ).
fof(f1348,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ59_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f323,f1176]) ).
fof(f1349,plain,
( ~ sQ59_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f323,f103]) ).
fof(f1350,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f323,f100]) ).
fof(f1351,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f323,f99]) ).
fof(f1352,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f323,f92]) ).
fof(f1353,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f323,f90]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f323,f88]) ).
fof(f1355,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f323,f97]) ).
fof(f1356,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f323,f95]) ).
fof(f1357,plain,
( ~ sQ23_spl
| ~ sQ59_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1333,f908,f322,f191]) ).
fof(f1358,plain,
( ~ sQ160_spl
| ~ sQ59_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1336,f169,f322,f1189]) ).
fof(f1359,plain,
( ~ sQ127_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1341,f93]) ).
fof(f1360,plain,
( ~ sQ127_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1359]) ).
fof(f1361,plain,
( ~ sQ58_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f320,f102]) ).
fof(f1362,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f320,f100]) ).
fof(f1363,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f320,f99]) ).
fof(f1364,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f320,f92]) ).
fof(f1365,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f320,f90]) ).
fof(f1366,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f320,f88]) ).
fof(f1367,plain,
! [X0,X1,X2] :
( ~ sQ58_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f320,f97]) ).
fof(f1368,plain,
! [X0,X1,X2] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f320,f95]) ).
fof(f1369,plain,
( ~ sQ58_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f1361,f1086,f319]) ).
fof(f1370,definition,
! [X0] :
( sQ169_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1371,plain,
! [X0] :
( ~ sQ169_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1370]) ).
fof(f1373,plain,
( ~ sQ58_spl
| sQ130_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1362,f1370,f797,f319]) ).
fof(f1374,plain,
( ~ sQ58_spl
| sQ154_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1363,f1370,f1086,f319]) ).
fof(f1375,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f317,f100]) ).
fof(f1376,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f317,f99]) ).
fof(f1377,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f317,f92]) ).
fof(f1378,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f317,f90]) ).
fof(f1379,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f317,f88]) ).
fof(f1380,plain,
! [X0,X1,X2] :
( ~ sQ57_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f317,f97]) ).
fof(f1381,plain,
! [X0,X1,X2] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f317,f95]) ).
fof(f1382,definition,
! [X0] :
( sQ170_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1383,plain,
! [X0] :
( ~ sQ170_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1382]) ).
fof(f1385,plain,
( ~ sQ57_spl
| sQ117_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1375,f1382,f668,f316]) ).
fof(f1386,plain,
( ~ sQ57_spl
| sQ142_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1376,f1382,f915,f316]) ).
fof(f1387,plain,
( ~ sQ16_spl
| ~ sQ56_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f314,f742]) ).
fof(f1388,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ56_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f314,f744]) ).
fof(f1389,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ56_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f314,f745]) ).
fof(f1390,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f314,f100]) ).
fof(f1391,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f314,f99]) ).
fof(f1392,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f314,f92]) ).
fof(f1393,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f314,f90]) ).
fof(f1394,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_1,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f314,f88]) ).
fof(f1395,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f314,f97]) ).
fof(f1396,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f314,f95]) ).
fof(f1397,plain,
( ~ sQ16_spl
| ~ sQ56_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1387,f915,f313,f169]) ).
fof(f1398,definition,
! [X0] :
( sQ171_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ171_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1398]) ).
fof(f1401,plain,
( ~ sQ16_spl
| ~ sQ56_spl
| sQ142_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1388,f1398,f915,f313,f169]) ).
fof(f1402,plain,
( ~ sQ16_spl
| ~ sQ56_spl
| sQ130_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1389,f1398,f797,f313,f169]) ).
fof(f1403,definition,
! [X0] :
( sQ172_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1404,plain,
! [X0] :
( ~ sQ172_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1403]) ).
fof(f1406,plain,
( ~ sQ56_spl
| sQ125_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f1390,f1403,f749,f313]) ).
fof(f1407,plain,
( ~ sQ56_spl
| sQ141_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f1391,f1403,f908,f313]) ).
fof(f1408,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1380,f93]) ).
fof(f1409,plain,
( ~ sQ57_spl
| sQ121_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1408,f1382,f706,f316]) ).
fof(f1410,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1381,f93]) ).
fof(f1411,plain,
( ~ sQ57_spl
| sQ128_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1410,f1382,f781,f316]) ).
fof(f1412,plain,
( ~ sQ27_spl
| ~ sQ55_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f310,f1001]) ).
fof(f1413,plain,
( ~ sQ148_spl
| ~ sQ55_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f310,f1012]) ).
fof(f1414,plain,
( ~ sQ166_spl
| ~ sQ55_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f310,f1286]) ).
fof(f1415,plain,
( ~ sQ160_spl
| ~ sQ55_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f310,f1190]) ).
fof(f1416,plain,
( ~ sQ156_spl
| ~ sQ55_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f310,f1119]) ).
fof(f1417,plain,
( ~ sQ120_spl
| ~ sQ55_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f310,f703]) ).
fof(f1418,plain,
( ~ sQ145_spl
| ~ sQ55_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f310,f957]) ).
fof(f1419,plain,
( ~ sQ136_spl
| ~ sQ55_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f310,f866]) ).
fof(f1420,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f310,f621]) ).
fof(f1421,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ55_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f310,f1003]) ).
fof(f1422,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ55_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f310,f1004]) ).
fof(f1423,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ55_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f310,f615]) ).
fof(f1424,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ55_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f310,f614]) ).
fof(f1425,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ55_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f310,f1177]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ55_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f310,f1176]) ).
fof(f1427,plain,
( ~ sQ55_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f310,f103]) ).
fof(f1428,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f310,f100]) ).
fof(f1429,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f310,f99]) ).
fof(f1430,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f310,f92]) ).
fof(f1431,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f310,f90]) ).
fof(f1432,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f310,f88]) ).
fof(f1433,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f310,f97]) ).
fof(f1434,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f310,f95]) ).
fof(f1435,plain,
( ~ sQ27_spl
| ~ sQ55_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f1412,f1086,f309,f207]) ).
fof(f1436,plain,
( ~ sQ145_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1418,f93]) ).
fof(f1437,plain,
( ~ sQ145_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1436]) ).
fof(f1438,plain,
( ~ sQ171_spl
| ~ sQ54_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f307,f1399]) ).
fof(f1439,plain,
( ~ sQ172_spl
| ~ sQ54_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f307,f1404]) ).
fof(f1440,plain,
( ~ sQ170_spl
| ~ sQ54_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f307,f1383]) ).
fof(f1441,plain,
( ~ sQ169_spl
| ~ sQ54_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f307,f1371]) ).
fof(f1442,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f307,f100]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f307,f99]) ).
fof(f1444,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f307,f92]) ).
fof(f1445,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f307,f90]) ).
fof(f1446,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f307,f88]) ).
fof(f1447,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f307,f97]) ).
fof(f1448,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f307,f95]) ).
fof(f1449,plain,
( ~ sQ170_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1440,f93]) ).
fof(f1450,plain,
( ~ sQ170_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1449]) ).
fof(f1451,plain,
( ~ sQ57_spl
| ~ sQ53_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f304,f1377]) ).
fof(f1452,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ53_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f304,f1381]) ).
fof(f1453,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ53_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f304,f1380]) ).
fof(f1454,plain,
( ~ sQ53_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f304,f102]) ).
fof(f1455,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f304,f100]) ).
fof(f1456,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f304,f99]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f304,f92]) ).
fof(f1458,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f304,f90]) ).
fof(f1459,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f304,f88]) ).
fof(f1460,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f304,f97]) ).
fof(f1461,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f304,f95]) ).
fof(f1462,plain,
( ~ sQ57_spl
| ~ sQ53_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f1451,f781,f303,f316]) ).
fof(f1463,definition,
! [X0] :
( sQ173_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1464,plain,
! [X0] :
( ~ sQ173_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1463]) ).
fof(f1466,plain,
( ~ sQ57_spl
| ~ sQ53_spl
| sQ128_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1452,f1463,f781,f303,f316]) ).
fof(f1467,definition,
( sQ174_spl
<=> equalish(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1470,plain,
( ~ sQ57_spl
| ~ sQ53_spl
| sQ174_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1453,f1463,f1467,f303,f316]) ).
fof(f1471,plain,
( ~ sQ53_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1454,f915,f303]) ).
fof(f1472,definition,
! [X0] :
( sQ175_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1473,plain,
! [X0] :
( ~ sQ175_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1472]) ).
fof(f1475,plain,
( ~ sQ53_spl
| sQ123_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1455,f1472,f735,f303]) ).
fof(f1476,plain,
( ~ sQ53_spl
| sQ142_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1456,f1472,f915,f303]) ).
fof(f1477,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ52_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f301,f744]) ).
fof(f1478,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ52_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f301,f745]) ).
fof(f1479,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f301,f100]) ).
fof(f1480,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f301,f99]) ).
fof(f1481,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f301,f92]) ).
fof(f1482,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f301,f90]) ).
fof(f1483,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_1,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f301,f88]) ).
fof(f1484,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f301,f97]) ).
fof(f1485,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f301,f95]) ).
fof(f1486,definition,
! [X0] :
( sQ176_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1487,plain,
! [X0] :
( ~ sQ176_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1486]) ).
fof(f1489,plain,
( ~ sQ16_spl
| ~ sQ52_spl
| sQ142_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f1477,f1486,f915,f300,f169]) ).
fof(f1490,plain,
( ~ sQ16_spl
| ~ sQ52_spl
| sQ128_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f1478,f1486,f781,f300,f169]) ).
fof(f1491,definition,
! [X0] :
( sQ177_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1492,plain,
! [X0] :
( ~ sQ177_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1491]) ).
fof(f1494,plain,
( ~ sQ52_spl
| sQ126_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1479,f1491,f753,f300]) ).
fof(f1495,plain,
( ~ sQ52_spl
| sQ141_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1480,f1491,f908,f300]) ).
fof(f1496,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1484,f301]) ).
fof(f1497,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1484,f93]) ).
fof(f1498,definition,
! [X0] :
( sQ178_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1499,plain,
! [X0] :
( ~ sQ178_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1498]) ).
fof(f1501,plain,
( ~ sQ52_spl
| sQ174_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1496,f1498,f1467,f300]) ).
fof(f1502,plain,
( ~ sQ52_spl
| sQ113_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1497,f1491,f627,f300]) ).
fof(f1503,plain,
! [X0] :
( ~ sQ178_spl
| ~ product(X0,e_4,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f1499]) ).
fof(f1504,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1485,f301]) ).
fof(f1505,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1485,f93]) ).
fof(f1506,plain,
( ~ sQ52_spl
| sQ123_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1504,f1498,f735,f300]) ).
fof(f1507,plain,
( ~ sQ52_spl
| sQ118_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1505,f1491,f672,f300]) ).
fof(f1511,plain,
( ~ sQ43_spl
| ~ sQ51_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f297,f1174]) ).
fof(f1512,plain,
( ~ sQ148_spl
| ~ sQ51_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f297,f1012]) ).
fof(f1513,plain,
( ~ sQ166_spl
| ~ sQ51_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f297,f1286]) ).
fof(f1514,plain,
( ~ sQ160_spl
| ~ sQ51_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f297,f1190]) ).
fof(f1515,plain,
( ~ sQ156_spl
| ~ sQ51_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f297,f1119]) ).
fof(f1516,plain,
( ~ sQ120_spl
| ~ sQ51_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f297,f703]) ).
fof(f1517,plain,
( ~ sQ136_spl
| ~ sQ51_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f297,f866]) ).
fof(f1518,plain,
( ~ sQ111_spl
| ~ sQ51_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f297,f621]) ).
fof(f1519,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ51_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f297,f1003]) ).
fof(f1520,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ51_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f297,f1004]) ).
fof(f1521,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ51_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f297,f615]) ).
fof(f1522,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ51_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f297,f614]) ).
fof(f1523,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ51_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f297,f1177]) ).
fof(f1524,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ51_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f297,f1176]) ).
fof(f1525,plain,
( ~ sQ51_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f297,f103]) ).
fof(f1526,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f297,f100]) ).
fof(f1527,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f297,f99]) ).
fof(f1528,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f297,f92]) ).
fof(f1529,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f297,f90]) ).
fof(f1530,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f297,f88]) ).
fof(f1531,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f297,f97]) ).
fof(f1532,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f297,f95]) ).
fof(f1533,plain,
( ~ sQ43_spl
| ~ sQ51_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1511,f915,f296,f262]) ).
fof(f1534,plain,
( ~ sQ156_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1515,f93]) ).
fof(f1535,plain,
( ~ sQ156_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1534]) ).
fof(f1536,plain,
( ~ sQ171_spl
| ~ sQ50_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f294,f1399]) ).
fof(f1537,plain,
( ~ sQ172_spl
| ~ sQ50_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f294,f1404]) ).
fof(f1538,plain,
( ~ sQ170_spl
| ~ sQ50_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f294,f1383]) ).
fof(f1539,plain,
( ~ sQ169_spl
| ~ sQ50_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f294,f1371]) ).
fof(f1540,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f294,f100]) ).
fof(f1541,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f294,f99]) ).
fof(f1542,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f294,f92]) ).
fof(f1543,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f294,f90]) ).
fof(f1544,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f294,f88]) ).
fof(f1545,plain,
! [X0,X1,X2] :
( ~ sQ50_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f294,f97]) ).
fof(f1546,plain,
! [X0,X1,X2] :
( ~ sQ50_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f294,f95]) ).
fof(f1547,plain,
( ~ sQ172_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1537,f93]) ).
fof(f1548,plain,
( ~ sQ172_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1547]) ).
fof(f1549,plain,
( ~ sQ49_spl
| ~ sQ178_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f291,f1503]) ).
fof(f1550,plain,
( ~ sQ49_spl
| ~ sQ178_spl ),
inference(contradiction_clause,[status(thm)],[f1549]) ).
fof(f1559,plain,
( ~ sQ52_spl
| ~ sQ48_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f288,f1481]) ).
fof(f1560,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ48_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f288,f1484]) ).
fof(f1561,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ48_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f288,f1485]) ).
fof(f1562,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ48_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f288,f744]) ).
fof(f1563,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ48_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f288,f745]) ).
fof(f1564,plain,
( ~ sQ48_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f288,f102]) ).
fof(f1565,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f288,f100]) ).
fof(f1566,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f288,f99]) ).
fof(f1567,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f288,f92]) ).
fof(f1568,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f288,f90]) ).
fof(f1569,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f288,f88]) ).
fof(f1570,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f288,f97]) ).
fof(f1571,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f288,f95]) ).
fof(f1572,plain,
( ~ sQ52_spl
| ~ sQ48_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f1559,f672,f287,f300]) ).
fof(f1573,definition,
! [X0] :
( sQ179_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1574,plain,
! [X0] :
( ~ sQ179_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1573]) ).
fof(f1576,plain,
( ~ sQ52_spl
| ~ sQ48_spl
| sQ174_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1560,f1573,f1467,f287,f300]) ).
fof(f1577,plain,
( ~ sQ52_spl
| ~ sQ48_spl
| sQ118_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1561,f1573,f672,f287,f300]) ).
fof(f1578,definition,
! [X0] :
( sQ180_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1579,plain,
! [X0] :
( ~ sQ180_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1578]) ).
fof(f1581,plain,
( ~ sQ16_spl
| ~ sQ48_spl
| sQ142_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1562,f1578,f915,f287,f169]) ).
fof(f1582,plain,
( ~ sQ16_spl
| ~ sQ48_spl
| sQ131_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1563,f1578,f801,f287,f169]) ).
fof(f1583,plain,
( ~ sQ48_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1564,f908,f287]) ).
fof(f1584,definition,
! [X0] :
( sQ181_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1585,plain,
! [X0] :
( ~ sQ181_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1584]) ).
fof(f1587,plain,
( ~ sQ48_spl
| sQ139_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1565,f1584,f896,f287]) ).
fof(f1588,plain,
( ~ sQ48_spl
| sQ141_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1566,f1584,f908,f287]) ).
fof(f1589,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1420,f230,f309,f620]) ).
fof(f1590,definition,
! [X0] :
( sQ182_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1591,plain,
! [X0] :
( ~ sQ182_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1590]) ).
fof(f1593,plain,
( ~ sQ23_spl
| ~ sQ55_spl
| sQ128_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1423,f1590,f781,f309,f191]) ).
fof(f1594,plain,
( ~ sQ23_spl
| ~ sQ55_spl
| sQ141_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1424,f1590,f908,f309,f191]) ).
fof(f1595,definition,
! [X0] :
( sQ183_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1596,plain,
! [X0] :
( ~ sQ183_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1595]) ).
fof(f1598,plain,
( ~ sQ43_spl
| ~ sQ55_spl
| sQ126_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1425,f1595,f753,f309,f262]) ).
fof(f1599,plain,
( ~ sQ43_spl
| ~ sQ55_spl
| sQ142_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1426,f1595,f915,f309,f262]) ).
fof(f1600,plain,
( ~ sQ55_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f1427,f706,f309]) ).
fof(f1601,definition,
! [X0] :
( sQ184_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1602,plain,
! [X0] :
( ~ sQ184_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1601]) ).
fof(f1604,plain,
( ~ sQ55_spl
| sQ121_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1428,f1601,f706,f309]) ).
fof(f1605,plain,
( ~ sQ55_spl
| sQ174_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1429,f1601,f1467,f309]) ).
fof(f1606,plain,
( ~ sQ166_spl
| ~ sQ55_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1414,f198,f309,f1285]) ).
fof(f1607,plain,
( ~ sQ120_spl
| ~ sQ51_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1516,f259,f296,f702]) ).
fof(f1608,plain,
( ~ sQ51_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f1525,f627,f296]) ).
fof(f1609,definition,
! [X0] :
( sQ185_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1610,plain,
! [X0] :
( ~ sQ185_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1609]) ).
fof(f1612,plain,
( ~ sQ51_spl
| sQ113_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1526,f1609,f627,f296]) ).
fof(f1613,plain,
( ~ sQ51_spl
| sQ174_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1527,f1609,f1467,f296]) ).
fof(f1614,definition,
! [X0] :
( sQ186_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1615,plain,
! [X0] :
( ~ sQ186_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1614]) ).
fof(f1617,plain,
( ~ sQ42_spl
| sQ131_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1196,f1614,f801,f259]) ).
fof(f1618,plain,
( ~ sQ42_spl
| sQ128_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1197,f1614,f781,f259]) ).
fof(f1619,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ79_spl
| equalish(e_4,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f392,f412]) ).
fof(f1620,plain,
( ~ sQ79_spl
| ~ greater(e_4,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f392,f67]) ).
fof(f1621,plain,
( ~ sQ79_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f392,f102]) ).
fof(f1622,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f392,f100]) ).
fof(f1623,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f392,f99]) ).
fof(f1624,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f392,f92]) ).
fof(f1625,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f392,f90]) ).
fof(f1626,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_4,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f392,f88]) ).
fof(f1627,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f392,f97]) ).
fof(f1628,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f392,f95]) ).
fof(f1629,plain,
( ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1620,f326,f551,f391]) ).
fof(f1630,plain,
( ~ sQ79_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f1621,f627,f391]) ).
fof(f1631,definition,
! [X0] :
( sQ187_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1632,plain,
! [X0] :
( ~ sQ187_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1631]) ).
fof(f1634,plain,
( ~ sQ79_spl
| sQ174_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1622,f1631,f1467,f391]) ).
fof(f1635,plain,
( ~ sQ79_spl
| sQ113_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1623,f1631,f627,f391]) ).
fof(f1636,plain,
( ~ sQ63_spl
| equalish(e_0,e_3) ),
inference(resolution,[status(thm)],[f336,f395]) ).
fof(f1638,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| ~ greater(e_3,X2)
| ~ greater(X0,e_4)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f336,f66]) ).
fof(f1640,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f336,f60]) ).
fof(f1643,plain,
( ~ sQ78_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f637]) ).
fof(f1644,plain,
( ~ sQ78_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f1643]) ).
fof(f1645,plain,
( ~ sQ77_spl
| ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f872]) ).
fof(f1646,plain,
( ~ sQ77_spl
| ~ sQ136_spl ),
inference(contradiction_clause,[status(thm)],[f1645]) ).
fof(f1647,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ76_spl
| equalish(e_1,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f383,f412]) ).
fof(f1648,plain,
( ~ sQ76_spl
| ~ greater(e_1,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f383,f67]) ).
fof(f1649,plain,
( ~ sQ76_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f383,f103]) ).
fof(f1650,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f383,f100]) ).
fof(f1651,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f383,f99]) ).
fof(f1652,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f383,f92]) ).
fof(f1653,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f383,f90]) ).
fof(f1654,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f383,f88]) ).
fof(f1655,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f383,f97]) ).
fof(f1656,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f383,f95]) ).
fof(f1657,definition,
( sQ188_spl
<=> greater(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1659,plain,
( sQ188_spl
| ~ greater(e_1,e_4) ),
inference(component_clause,[status(thm)],[f1657]) ).
fof(f1660,plain,
( ~ sQ76_spl
| ~ sQ188_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1648,f326,f1657,f382]) ).
fof(f1661,plain,
( ~ sQ76_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1649,f908,f382]) ).
fof(f1662,definition,
! [X0] :
( sQ189_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1663,plain,
! [X0] :
( ~ sQ189_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1662]) ).
fof(f1665,plain,
( ~ sQ76_spl
| sQ141_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1650,f1662,f908,f382]) ).
fof(f1666,plain,
( ~ sQ76_spl
| sQ139_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1651,f1662,f896,f382]) ).
fof(f1667,plain,
( sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f328,f62]) ).
fof(f1668,plain,
sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1667]) ).
fof(f1669,plain,
( ~ sQ75_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f379,f102]) ).
fof(f1670,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f379,f100]) ).
fof(f1671,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f379,f99]) ).
fof(f1672,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f379,f92]) ).
fof(f1673,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f379,f90]) ).
fof(f1674,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_4,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f379,f88]) ).
fof(f1675,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f379,f97]) ).
fof(f1676,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f379,f95]) ).
fof(f1677,plain,
( ~ sQ75_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f1669,f706,f378]) ).
fof(f1678,definition,
! [X0] :
( sQ190_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1679,plain,
! [X0] :
( ~ sQ190_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1678]) ).
fof(f1681,plain,
( ~ sQ75_spl
| sQ174_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1670,f1678,f1467,f378]) ).
fof(f1682,plain,
( ~ sQ75_spl
| sQ121_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1671,f1678,f706,f378]) ).
fof(f1683,plain,
( ~ sQ184_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f1602,f93]) ).
fof(f1692,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1201,f93]) ).
fof(f1693,plain,
( ~ sQ42_spl
| sQ117_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1692,f1614,f668,f259]) ).
fof(f1694,plain,
( ~ sQ186_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f1615,f93]) ).
fof(f1695,plain,
( ~ sQ185_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f1610,f93]) ).
fof(f1696,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1202,f93]) ).
fof(f1697,plain,
( ~ sQ42_spl
| sQ125_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1696,f1614,f749,f259]) ).
fof(f1698,plain,
( ~ sQ187_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f1632,f93]) ).
fof(f1712,plain,
( ~ sQ190_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f1679,f93]) ).
fof(f1713,plain,
( ~ sQ74_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f376,f777]) ).
fof(f1714,plain,
( ~ sQ74_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f1713]) ).
fof(f1715,plain,
( ~ sQ163_spl
| ~ sQ73_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f373,f1241]) ).
fof(f1716,plain,
( ~ sQ140_spl
| ~ sQ73_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f373,f902]) ).
fof(f1717,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ73_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f373,f1381]) ).
fof(f1718,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ73_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f373,f1380]) ).
fof(f1719,plain,
( ~ sQ73_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f373,f103]) ).
fof(f1720,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f373,f100]) ).
fof(f1721,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f373,f99]) ).
fof(f1722,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f373,f92]) ).
fof(f1723,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f373,f90]) ).
fof(f1724,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f373,f88]) ).
fof(f1725,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f373,f97]) ).
fof(f1726,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f373,f95]) ).
fof(f1727,plain,
( ~ sQ140_spl
| ~ sQ73_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f1716,f385,f372,f901]) ).
fof(f1728,definition,
! [X0] :
( sQ191_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1729,plain,
! [X0] :
( ~ sQ191_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1728]) ).
fof(f1731,plain,
( ~ sQ57_spl
| ~ sQ73_spl
| sQ154_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1717,f1728,f1086,f372,f316]) ).
fof(f1732,plain,
( ~ sQ57_spl
| ~ sQ73_spl
| sQ121_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1718,f1728,f706,f372,f316]) ).
fof(f1733,plain,
( ~ sQ73_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1719,f915,f372]) ).
fof(f1734,definition,
! [X0] :
( sQ192_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1735,plain,
! [X0] :
( ~ sQ192_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1734]) ).
fof(f1737,plain,
( ~ sQ73_spl
| sQ142_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1720,f1734,f915,f372]) ).
fof(f1738,plain,
( ~ sQ73_spl
| sQ123_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1721,f1734,f735,f372]) ).
fof(f1739,plain,
( ~ sQ72_spl
| ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f370,f1246]) ).
fof(f1740,plain,
( ~ sQ72_spl
| ~ sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f1739]) ).
fof(f1741,plain,
( ~ sQ27_spl
| ~ sQ71_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f366,f1000]) ).
fof(f1742,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ71_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f366,f1003]) ).
fof(f1743,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ71_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f366,f1004]) ).
fof(f1744,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ71_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f366,f615]) ).
fof(f1745,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ71_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f366,f614]) ).
fof(f1746,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ71_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f366,f701]) ).
fof(f1747,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ71_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f366,f700]) ).
fof(f1748,plain,
( ~ sQ71_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f366,f102]) ).
fof(f1749,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f366,f100]) ).
fof(f1750,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f366,f99]) ).
fof(f1751,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f366,f92]) ).
fof(f1752,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f366,f90]) ).
fof(f1753,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_4,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f366,f88]) ).
fof(f1754,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f366,f97]) ).
fof(f1755,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f366,f95]) ).
fof(f1756,plain,
( ~ sQ27_spl
| ~ sQ71_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1741,f915,f365,f207]) ).
fof(f1757,definition,
! [X0] :
( sQ193_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1758,plain,
! [X0] :
( ~ sQ193_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1757]) ).
fof(f1760,plain,
( ~ sQ27_spl
| ~ sQ71_spl
| sQ130_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1742,f1757,f797,f365,f207]) ).
fof(f1761,plain,
( ~ sQ27_spl
| ~ sQ71_spl
| sQ142_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1743,f1757,f915,f365,f207]) ).
fof(f1762,definition,
! [X0] :
( sQ194_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1763,plain,
! [X0] :
( ~ sQ194_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1762]) ).
fof(f1765,plain,
( ~ sQ23_spl
| ~ sQ71_spl
| sQ154_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1744,f1762,f1086,f365,f191]) ).
fof(f1766,plain,
( ~ sQ23_spl
| ~ sQ71_spl
| sQ125_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1745,f1762,f749,f365,f191]) ).
fof(f1767,definition,
! [X0] :
( sQ195_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1768,plain,
! [X0] :
( ~ sQ195_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1767]) ).
fof(f1770,plain,
( ~ sQ19_spl
| ~ sQ71_spl
| sQ154_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1746,f1767,f1086,f365,f178]) ).
fof(f1771,plain,
( ~ sQ19_spl
| ~ sQ71_spl
| sQ117_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1747,f1767,f668,f365,f178]) ).
fof(f1772,plain,
( ~ sQ71_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f1748,f623,f365]) ).
fof(f1773,definition,
! [X0] :
( sQ196_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1774,plain,
! [X0] :
( ~ sQ196_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1773]) ).
fof(f1776,plain,
( ~ sQ71_spl
| sQ174_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f1749,f1773,f1467,f365]) ).
fof(f1777,plain,
( ~ sQ71_spl
| sQ112_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f1750,f1773,f623,f365]) ).
fof(f1778,plain,
( ~ sQ196_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f1774,f93]) ).
fof(f1779,plain,
( ~ sQ186_spl
| ~ sQ70_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f363,f1615]) ).
fof(f1780,plain,
( ~ sQ132_spl
| ~ sQ70_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f363,f824]) ).
fof(f1781,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ70_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f363,f1202]) ).
fof(f1782,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ70_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f363,f1201]) ).
fof(f1783,plain,
( ~ sQ70_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f363,f103]) ).
fof(f1784,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f363,f100]) ).
fof(f1785,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f363,f99]) ).
fof(f1786,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f363,f92]) ).
fof(f1787,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f363,f90]) ).
fof(f1788,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f363,f88]) ).
fof(f1789,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f363,f97]) ).
fof(f1790,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f363,f95]) ).
fof(f1791,definition,
! [X0] :
( sQ197_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1792,plain,
! [X0] :
( ~ sQ197_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1791]) ).
fof(f1794,plain,
( ~ sQ42_spl
| ~ sQ70_spl
| sQ141_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1781,f1791,f908,f362,f259]) ).
fof(f1795,plain,
( ~ sQ42_spl
| ~ sQ70_spl
| sQ117_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1782,f1791,f668,f362,f259]) ).
fof(f1796,plain,
( ~ sQ70_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f1783,f1086,f362]) ).
fof(f1797,definition,
! [X0] :
( sQ198_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1798,plain,
! [X0] :
( ~ sQ198_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1797]) ).
fof(f1800,plain,
( ~ sQ70_spl
| sQ154_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1784,f1797,f1086,f362]) ).
fof(f1801,plain,
( ~ sQ70_spl
| sQ130_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1785,f1797,f797,f362]) ).
fof(f1802,plain,
( ~ sQ69_spl
| ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f360,f1016]) ).
fof(f1803,plain,
( ~ sQ69_spl
| ~ sQ148_spl ),
inference(contradiction_clause,[status(thm)],[f1802]) ).
fof(f1804,plain,
( ~ sQ68_spl
| ~ sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f357,f1290]) ).
fof(f1805,plain,
( ~ sQ68_spl
| ~ sQ166_spl ),
inference(contradiction_clause,[status(thm)],[f1804]) ).
fof(f1806,plain,
( ~ sQ191_spl
| ~ sQ66_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f350,f1729]) ).
fof(f1807,plain,
( ~ sQ170_spl
| ~ sQ66_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f350,f1383]) ).
fof(f1808,plain,
( ~ sQ173_spl
| ~ sQ66_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f350,f1464]) ).
fof(f1809,plain,
( ~ sQ171_spl
| ~ sQ66_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f350,f1399]) ).
fof(f1810,plain,
( ~ sQ169_spl
| ~ sQ66_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f350,f1371]) ).
fof(f1811,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ66_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f350,f1202]) ).
fof(f1812,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ66_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f350,f1201]) ).
fof(f1813,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f350,f100]) ).
fof(f1815,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f350,f92]) ).
fof(f1816,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f350,f90]) ).
fof(f1817,plain,
( ~ sQ66_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f350,f98]) ).
fof(f1818,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f350,f88]) ).
fof(f1819,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f350,f97]) ).
fof(f1820,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f350,f95]) ).
fof(f1821,plain,
( ~ sQ42_spl
| ~ sQ66_spl
| sQ141_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f1811,f1189,f908,f349,f259]) ).
fof(f1822,plain,
( ~ sQ42_spl
| ~ sQ66_spl
| sQ142_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f1812,f1189,f915,f349,f259]) ).
fof(f1823,plain,
( ~ sQ66_spl
| sQ154_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f1813,f769,f1086,f349]) ).
fof(f1825,plain,
( ~ sQ66_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f1817,f623,f349]) ).
fof(f1827,plain,
( ~ sQ65_spl
| ~ sQ184_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f347,f1683]) ).
fof(f1828,plain,
( ~ sQ65_spl
| ~ sQ184_spl ),
inference(contradiction_clause,[status(thm)],[f1827]) ).
fof(f1829,plain,
( ~ sQ64_spl
| ~ sQ185_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f344,f1695]) ).
fof(f1830,plain,
( ~ sQ64_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f1829]) ).
fof(f1831,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ86_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f427,f144]) ).
fof(f1832,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ86_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f427,f118]) ).
fof(f1833,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ86_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f427,f131]) ).
fof(f1834,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f427,f62]) ).
fof(f1835,definition,
( sQ199_spl
<=> next(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1837,plain,
( sQ199_spl
| ~ next(e_1,e_1) ),
inference(component_clause,[status(thm)],[f1835]) ).
fof(f1838,definition,
! [X0] :
( sQ200_spl
<=> ( equalish(e_3,X0)
| ~ next(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1839,plain,
! [X0] :
( ~ sQ200_spl
| equalish(e_3,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f1838]) ).
fof(f1841,plain,
( ~ sQ10_spl
| ~ sQ86_spl
| sQ200_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f1831,f1835,f1838,f426,f143]) ).
fof(f1842,definition,
( sQ201_spl
<=> next(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1844,plain,
( sQ201_spl
| ~ next(e_1,e_3) ),
inference(component_clause,[status(thm)],[f1842]) ).
fof(f1845,plain,
( ~ sQ2_spl
| ~ sQ86_spl
| sQ200_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f1832,f1842,f1838,f426,f117]) ).
fof(f1846,definition,
( sQ202_spl
<=> next(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1848,plain,
( sQ202_spl
| ~ next(e_1,e_2) ),
inference(component_clause,[status(thm)],[f1846]) ).
fof(f1849,plain,
( ~ sQ6_spl
| ~ sQ86_spl
| sQ200_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f1833,f1846,f1838,f426,f130]) ).
fof(f1850,definition,
( sQ203_spl
<=> next(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1852,plain,
( sQ203_spl
| ~ next(e_1,e_4) ),
inference(component_clause,[status(thm)],[f1850]) ).
fof(f1853,definition,
! [X0] :
( sQ204_spl
<=> ( equalish(e_3,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1854,plain,
! [X0] :
( ~ sQ204_spl
| equalish(e_3,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f1853]) ).
fof(f1856,plain,
( ~ sQ86_spl
| sQ204_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f1834,f1850,f1853,f426]) ).
fof(f1857,plain,
( sQ202_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1848,f46]) ).
fof(f1858,plain,
sQ202_spl,
inference(contradiction_clause,[status(thm)],[f1857]) ).
fof(f1859,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ1_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f115,f427]) ).
fof(f1864,definition,
! [X0] :
( sQ205_spl
<=> ( equalish(e_3,X0)
| ~ next(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1865,plain,
! [X0] :
( ~ sQ205_spl
| equalish(e_3,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f1864]) ).
fof(f1867,plain,
( ~ sQ86_spl
| ~ sQ1_spl
| sQ205_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f1859,f1842,f1864,f114,f426]) ).
fof(f1870,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ9_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f141,f427]) ).
fof(f1872,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| ~ greater(e_1,X2)
| ~ greater(X0,e_1)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f141,f66]) ).
fof(f1874,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_1,X0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f141,f60]) ).
fof(f1875,plain,
( ~ sQ86_spl
| ~ sQ9_spl
| sQ205_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f1870,f1835,f1864,f140,f426]) ).
fof(f1878,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ5_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f128,f427]) ).
fof(f1880,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ greater(e_1,X2)
| ~ greater(X0,e_2)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f128,f66]) ).
fof(f1882,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f128,f60]) ).
fof(f1883,plain,
( ~ sQ86_spl
| ~ sQ5_spl
| sQ205_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f1878,f1846,f1864,f127,f426]) ).
fof(f1886,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ greater(e_0,X1)
| ~ greater(e_1,e_4)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f138,f404]) ).
fof(f1887,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ8_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f138,f427]) ).
fof(f1888,plain,
! [X0,X1] :
( ~ sQ8_spl
| equalish(X0,X1)
| ~ next(e_1,X1)
| ~ greater(e_0,e_0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f138,f69]) ).
fof(f1889,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ greater(e_0,X2)
| ~ greater(X0,e_1)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f138,f66]) ).
fof(f1890,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(e_0,X2)
| ~ next(X1,X2)
| ~ greater(e_0,e_0)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f138,f64]) ).
fof(f1891,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_0,X0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f138,f60]) ).
fof(f1892,definition,
! [X0,X1] :
( sQ206_spl
<=> ( ~ greater(e_0,X1)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1893,plain,
! [X0,X1] :
( ~ sQ206_spl
| ~ greater(e_0,X1)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f1892]) ).
fof(f1895,plain,
( ~ sQ8_spl
| ~ sQ188_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f1886,f1892,f1657,f137]) ).
fof(f1896,plain,
( ~ sQ86_spl
| ~ sQ8_spl
| sQ204_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f1887,f1835,f1853,f137,f426]) ).
fof(f1897,plain,
( ~ sQ8_spl
| ~ sQ81_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f1888,f419,f400,f137]) ).
fof(f1898,definition,
! [X0,X1,X2] :
( sQ207_spl
<=> ( equalish(e_0,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1899,plain,
! [X0,X1,X2] :
( ~ sQ207_spl
| equalish(e_0,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f1898]) ).
fof(f1901,plain,
( ~ sQ8_spl
| ~ sQ81_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1890,f1898,f400,f137]) ).
fof(f1902,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ greater(e_0,X1)
| ~ greater(e_2,e_4)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f125,f404]) ).
fof(f1903,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ4_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f125,f427]) ).
fof(f1908,definition,
! [X0,X1] :
( sQ208_spl
<=> ( ~ greater(e_0,X1)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1909,plain,
! [X0,X1] :
( ~ sQ208_spl
| ~ greater(e_0,X1)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f1908]) ).
fof(f1911,definition,
( sQ209_spl
<=> greater(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1913,plain,
( sQ209_spl
| ~ greater(e_2,e_4) ),
inference(component_clause,[status(thm)],[f1911]) ).
fof(f1914,plain,
( ~ sQ4_spl
| ~ sQ209_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1902,f1908,f1911,f124]) ).
fof(f1915,plain,
( ~ sQ86_spl
| ~ sQ4_spl
| sQ204_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f1903,f1846,f1853,f124,f426]) ).
fof(f1918,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_1,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f420,f93]) ).
fof(f1919,plain,
( ~ sQ84_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1918,f46]) ).
fof(f1920,plain,
( ~ sQ84_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f1919,f753,f419]) ).
fof(f1921,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ88_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f441,f125]) ).
fof(f1922,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ88_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f441,f138]) ).
fof(f1923,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ88_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f441,f115]) ).
fof(f1924,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f441,f62]) ).
fof(f1925,definition,
! [X0] :
( sQ210_spl
<=> ( equalish(e_2,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1926,plain,
! [X0] :
( ~ sQ210_spl
| equalish(e_2,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f1925]) ).
fof(f1928,plain,
( ~ sQ4_spl
| ~ sQ88_spl
| sQ210_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f1921,f1846,f1925,f440,f124]) ).
fof(f1929,plain,
( ~ sQ8_spl
| ~ sQ88_spl
| sQ210_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f1922,f1835,f1925,f440,f137]) ).
fof(f1930,definition,
! [X0] :
( sQ211_spl
<=> ( equalish(e_2,X0)
| ~ next(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1931,plain,
! [X0] :
( ~ sQ211_spl
| equalish(e_2,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f1930]) ).
fof(f1933,plain,
( ~ sQ1_spl
| ~ sQ88_spl
| sQ211_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f1923,f1842,f1930,f440,f114]) ).
fof(f1934,plain,
( ~ sQ88_spl
| sQ210_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f1924,f1850,f1925,f440]) ).
fof(f1935,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ90_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f455,f125]) ).
fof(f1936,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ90_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f455,f138]) ).
fof(f1937,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ90_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f455,f115]) ).
fof(f1938,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f455,f62]) ).
fof(f1939,definition,
! [X0] :
( sQ212_spl
<=> ( equalish(e_1,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1940,plain,
! [X0] :
( ~ sQ212_spl
| equalish(e_1,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f1939]) ).
fof(f1942,plain,
( ~ sQ4_spl
| ~ sQ90_spl
| sQ212_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f1935,f1846,f1939,f454,f124]) ).
fof(f1943,plain,
( ~ sQ8_spl
| ~ sQ90_spl
| sQ212_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f1936,f1835,f1939,f454,f137]) ).
fof(f1944,definition,
! [X0] :
( sQ213_spl
<=> ( equalish(e_1,X0)
| ~ next(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1945,plain,
! [X0] :
( ~ sQ213_spl
| equalish(e_1,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f1944]) ).
fof(f1947,plain,
( ~ sQ1_spl
| ~ sQ90_spl
| sQ213_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f1937,f1842,f1944,f454,f114]) ).
fof(f1948,plain,
( ~ sQ90_spl
| sQ212_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f1938,f1850,f1939,f454]) ).
fof(f1949,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ92_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f469,f125]) ).
fof(f1950,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ92_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f469,f138]) ).
fof(f1951,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ92_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f469,f115]) ).
fof(f1952,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f469,f62]) ).
fof(f1953,definition,
( sQ214_spl
<=> next(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1955,plain,
( sQ214_spl
| ~ next(e_2,e_2) ),
inference(component_clause,[status(thm)],[f1953]) ).
fof(f1956,plain,
( ~ sQ4_spl
| ~ sQ92_spl
| sQ204_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f1949,f1953,f1853,f468,f124]) ).
fof(f1957,definition,
( sQ215_spl
<=> next(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1959,plain,
( sQ215_spl
| ~ next(e_2,e_1) ),
inference(component_clause,[status(thm)],[f1957]) ).
fof(f1960,plain,
( ~ sQ8_spl
| ~ sQ92_spl
| sQ204_spl
| ~ sQ215_spl ),
inference(split_clause,[status(thm)],[f1950,f1957,f1853,f468,f137]) ).
fof(f1961,definition,
( sQ216_spl
<=> next(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1963,plain,
( sQ216_spl
| ~ next(e_2,e_3) ),
inference(component_clause,[status(thm)],[f1961]) ).
fof(f1964,plain,
( ~ sQ1_spl
| ~ sQ92_spl
| sQ205_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f1951,f1961,f1864,f468,f114]) ).
fof(f1965,definition,
( sQ217_spl
<=> next(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1967,plain,
( sQ217_spl
| ~ next(e_2,e_4) ),
inference(component_clause,[status(thm)],[f1965]) ).
fof(f1968,plain,
( ~ sQ92_spl
| sQ204_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f1952,f1965,f1853,f468]) ).
fof(f1969,plain,
( sQ216_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1963,f47]) ).
fof(f1970,plain,
sQ216_spl,
inference(contradiction_clause,[status(thm)],[f1969]) ).
fof(f1971,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ2_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f118,f469]) ).
fof(f1973,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ greater(e_2,X2)
| ~ greater(X0,e_3)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f118,f66]) ).
fof(f1975,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_2,X0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f118,f60]) ).
fof(f1976,plain,
( ~ sQ92_spl
| ~ sQ2_spl
| sQ200_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f1971,f1961,f1838,f117,f468]) ).
fof(f1979,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ93_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f478,f118]) ).
fof(f1980,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ93_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f478,f125]) ).
fof(f1981,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ93_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f478,f138]) ).
fof(f1982,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f478,f62]) ).
fof(f1983,definition,
! [X0] :
( sQ218_spl
<=> ( equalish(e_2,X0)
| ~ next(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1984,plain,
! [X0] :
( ~ sQ218_spl
| equalish(e_2,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f1983]) ).
fof(f1986,plain,
( ~ sQ2_spl
| ~ sQ93_spl
| sQ218_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f1979,f1961,f1983,f477,f117]) ).
fof(f1987,plain,
( ~ sQ4_spl
| ~ sQ93_spl
| sQ210_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f1980,f1953,f1925,f477,f124]) ).
fof(f1988,plain,
( ~ sQ8_spl
| ~ sQ93_spl
| sQ210_spl
| ~ sQ215_spl ),
inference(split_clause,[status(thm)],[f1981,f1957,f1925,f477,f137]) ).
fof(f1989,plain,
( ~ sQ93_spl
| sQ210_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f1982,f1965,f1925,f477]) ).
fof(f1990,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ94_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f487,f118]) ).
fof(f1991,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ94_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f487,f125]) ).
fof(f1992,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ94_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f487,f138]) ).
fof(f1993,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f487,f62]) ).
fof(f1994,definition,
! [X0] :
( sQ219_spl
<=> ( equalish(e_1,X0)
| ~ next(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1995,plain,
! [X0] :
( ~ sQ219_spl
| equalish(e_1,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f1994]) ).
fof(f1997,plain,
( ~ sQ2_spl
| ~ sQ94_spl
| sQ219_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f1990,f1961,f1994,f486,f117]) ).
fof(f1998,plain,
( ~ sQ4_spl
| ~ sQ94_spl
| sQ212_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f1991,f1953,f1939,f486,f124]) ).
fof(f1999,plain,
( ~ sQ8_spl
| ~ sQ94_spl
| sQ212_spl
| ~ sQ215_spl ),
inference(split_clause,[status(thm)],[f1992,f1957,f1939,f486,f137]) ).
fof(f2000,plain,
( ~ sQ94_spl
| sQ212_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f1993,f1965,f1939,f486]) ).
fof(f2001,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ95_spl
| equalish(e_0,X0)
| ~ next(e_2,X0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f496,f118]) ).
fof(f2002,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ95_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f496,f125]) ).
fof(f2003,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ95_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f496,f138]) ).
fof(f2004,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f496,f62]) ).
fof(f2005,definition,
! [X0] :
( sQ220_spl
<=> ( equalish(e_0,X0)
| ~ next(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f2006,plain,
! [X0] :
( ~ sQ220_spl
| equalish(e_0,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f2005]) ).
fof(f2008,plain,
( ~ sQ2_spl
| ~ sQ95_spl
| sQ220_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f2001,f1961,f2005,f495,f117]) ).
fof(f2009,plain,
( ~ sQ4_spl
| ~ sQ95_spl
| sQ102_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f2002,f1953,f543,f495,f124]) ).
fof(f2010,plain,
( ~ sQ8_spl
| ~ sQ95_spl
| sQ102_spl
| ~ sQ215_spl ),
inference(split_clause,[status(thm)],[f2003,f1957,f543,f495,f137]) ).
fof(f2011,plain,
( ~ sQ95_spl
| sQ102_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f2004,f1965,f543,f495]) ).
fof(f2012,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ97_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f508,f118]) ).
fof(f2013,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ97_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f508,f125]) ).
fof(f2014,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ97_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f508,f138]) ).
fof(f2015,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f508,f62]) ).
fof(f2016,definition,
( sQ221_spl
<=> next(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f2018,plain,
( sQ221_spl
| ~ next(e_3,e_3) ),
inference(component_clause,[status(thm)],[f2016]) ).
fof(f2019,plain,
( ~ sQ2_spl
| ~ sQ97_spl
| sQ200_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f2012,f2016,f1838,f507,f117]) ).
fof(f2020,definition,
( sQ222_spl
<=> next(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f2022,plain,
( sQ222_spl
| ~ next(e_3,e_2) ),
inference(component_clause,[status(thm)],[f2020]) ).
fof(f2023,plain,
( ~ sQ4_spl
| ~ sQ97_spl
| sQ204_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2013,f2020,f1853,f507,f124]) ).
fof(f2024,definition,
( sQ223_spl
<=> next(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f2026,plain,
( sQ223_spl
| ~ next(e_3,e_1) ),
inference(component_clause,[status(thm)],[f2024]) ).
fof(f2027,plain,
( ~ sQ8_spl
| ~ sQ97_spl
| sQ204_spl
| ~ sQ223_spl ),
inference(split_clause,[status(thm)],[f2014,f2024,f1853,f507,f137]) ).
fof(f2028,definition,
( sQ224_spl
<=> next(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2030,plain,
( sQ224_spl
| ~ next(e_3,e_4) ),
inference(component_clause,[status(thm)],[f2028]) ).
fof(f2031,plain,
( ~ sQ97_spl
| sQ204_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f2015,f2028,f1853,f507]) ).
fof(f2032,plain,
( sQ224_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2030,f48]) ).
fof(f2033,plain,
sQ224_spl,
inference(contradiction_clause,[status(thm)],[f2032]) ).
fof(f2034,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ98_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f517,f118]) ).
fof(f2035,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ98_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f517,f125]) ).
fof(f2036,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ98_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f517,f138]) ).
fof(f2037,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f517,f62]) ).
fof(f2038,definition,
( sQ225_spl
<=> next(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f2040,plain,
( sQ225_spl
| ~ next(e_4,e_3) ),
inference(component_clause,[status(thm)],[f2038]) ).
fof(f2041,plain,
( ~ sQ2_spl
| ~ sQ98_spl
| sQ200_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f2034,f2038,f1838,f516,f117]) ).
fof(f2042,definition,
( sQ226_spl
<=> next(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f2044,plain,
( sQ226_spl
| ~ next(e_4,e_2) ),
inference(component_clause,[status(thm)],[f2042]) ).
fof(f2045,plain,
( ~ sQ4_spl
| ~ sQ98_spl
| sQ204_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f2035,f2042,f1853,f516,f124]) ).
fof(f2046,definition,
( sQ227_spl
<=> next(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f2048,plain,
( sQ227_spl
| ~ next(e_4,e_1) ),
inference(component_clause,[status(thm)],[f2046]) ).
fof(f2049,plain,
( ~ sQ8_spl
| ~ sQ98_spl
| sQ204_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f2036,f2046,f1853,f516,f137]) ).
fof(f2050,plain,
( ~ sQ98_spl
| sQ204_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f2037,f540,f1853,f516]) ).
fof(f2051,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ99_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f526,f118]) ).
fof(f2052,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ99_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f526,f125]) ).
fof(f2053,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ99_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f526,f138]) ).
fof(f2054,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f526,f62]) ).
fof(f2055,plain,
( ~ sQ2_spl
| ~ sQ99_spl
| sQ218_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f2051,f2038,f1983,f525,f117]) ).
fof(f2056,plain,
( ~ sQ4_spl
| ~ sQ99_spl
| sQ210_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f2052,f2042,f1925,f525,f124]) ).
fof(f2057,plain,
( ~ sQ8_spl
| ~ sQ99_spl
| sQ210_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f2053,f2046,f1925,f525,f137]) ).
fof(f2058,plain,
( ~ sQ99_spl
| sQ210_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f2054,f540,f1925,f525]) ).
fof(f2059,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ100_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f535,f118]) ).
fof(f2060,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ100_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f535,f125]) ).
fof(f2061,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ100_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f535,f138]) ).
fof(f2062,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f535,f62]) ).
fof(f2063,plain,
( ~ sQ2_spl
| ~ sQ100_spl
| sQ219_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f2059,f2038,f1994,f534,f117]) ).
fof(f2064,plain,
( ~ sQ4_spl
| ~ sQ100_spl
| sQ212_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f2060,f2042,f1939,f534,f124]) ).
fof(f2065,plain,
( ~ sQ8_spl
| ~ sQ100_spl
| sQ212_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f2061,f2046,f1939,f534,f137]) ).
fof(f2066,plain,
( ~ sQ100_spl
| sQ212_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f2062,f540,f1939,f534]) ).
fof(f2067,plain,
( ~ sQ102_spl
| equalish(e_0,e_1) ),
inference(resolution,[status(thm)],[f544,f45]) ).
fof(f2068,plain,
( ~ sQ2_spl
| ~ sQ103_spl
| ~ greater(e_0,e_2)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f549,f118]) ).
fof(f2069,plain,
( ~ sQ4_spl
| ~ sQ103_spl
| ~ greater(e_0,e_0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f549,f125]) ).
fof(f2070,plain,
( ~ sQ8_spl
| ~ sQ103_spl
| ~ greater(e_0,e_0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f549,f138]) ).
fof(f2071,plain,
( ~ sQ103_spl
| ~ greater(e_0,e_0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f549,f62]) ).
fof(f2072,definition,
( sQ228_spl
<=> greater(e_0,e_2) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f2074,plain,
( sQ228_spl
| ~ greater(e_0,e_2) ),
inference(component_clause,[status(thm)],[f2072]) ).
fof(f2075,plain,
( ~ sQ2_spl
| ~ sQ103_spl
| ~ sQ228_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f2068,f2038,f2072,f548,f117]) ).
fof(f2076,plain,
( ~ sQ4_spl
| ~ sQ103_spl
| ~ sQ81_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f2069,f2042,f400,f548,f124]) ).
fof(f2077,plain,
( ~ sQ8_spl
| ~ sQ103_spl
| ~ sQ81_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f2070,f2046,f400,f548,f137]) ).
fof(f2078,plain,
( ~ sQ103_spl
| ~ sQ81_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f2071,f540,f400,f548]) ).
fof(f2079,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ105_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f561,f118]) ).
fof(f2080,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ105_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f561,f125]) ).
fof(f2081,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ105_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f561,f138]) ).
fof(f2082,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f561,f62]) ).
fof(f2083,plain,
( ~ sQ2_spl
| ~ sQ105_spl
| sQ218_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f2079,f2016,f1983,f560,f117]) ).
fof(f2084,plain,
( ~ sQ4_spl
| ~ sQ105_spl
| sQ210_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2080,f2020,f1925,f560,f124]) ).
fof(f2085,plain,
( ~ sQ8_spl
| ~ sQ105_spl
| sQ210_spl
| ~ sQ223_spl ),
inference(split_clause,[status(thm)],[f2081,f2024,f1925,f560,f137]) ).
fof(f2086,plain,
( ~ sQ105_spl
| sQ210_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f2082,f2028,f1925,f560]) ).
fof(f2087,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ6_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f131,f561]) ).
fof(f2088,plain,
( ~ sQ103_spl
| ~ sQ6_spl
| ~ greater(e_0,e_2)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f131,f549]) ).
fof(f2089,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ6_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f131,f535]) ).
fof(f2090,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ6_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f131,f526]) ).
fof(f2091,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ6_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f131,f517]) ).
fof(f2092,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ6_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f131,f508]) ).
fof(f2093,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ6_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f131,f469]) ).
fof(f2098,plain,
( ~ sQ105_spl
| ~ sQ6_spl
| sQ218_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2087,f2020,f1983,f130,f560]) ).
fof(f2099,plain,
( ~ sQ103_spl
| ~ sQ6_spl
| ~ sQ228_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f2088,f2042,f2072,f130,f548]) ).
fof(f2100,plain,
( ~ sQ100_spl
| ~ sQ6_spl
| sQ219_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f2089,f2042,f1994,f130,f534]) ).
fof(f2101,plain,
( ~ sQ99_spl
| ~ sQ6_spl
| sQ218_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f2090,f2042,f1983,f130,f525]) ).
fof(f2102,plain,
( ~ sQ98_spl
| ~ sQ6_spl
| sQ200_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f2091,f2042,f1838,f130,f516]) ).
fof(f2103,plain,
( ~ sQ97_spl
| ~ sQ6_spl
| sQ200_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2092,f2020,f1838,f130,f507]) ).
fof(f2104,plain,
( ~ sQ92_spl
| ~ sQ6_spl
| sQ200_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f2093,f1953,f1838,f130,f468]) ).
fof(f2107,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ5_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f128,f561]) ).
fof(f2108,plain,
( ~ sQ103_spl
| ~ sQ5_spl
| ~ greater(e_0,e_1)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f128,f549]) ).
fof(f2109,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ5_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f128,f535]) ).
fof(f2110,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ5_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f128,f526]) ).
fof(f2111,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ5_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f128,f517]) ).
fof(f2112,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ5_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f128,f508]) ).
fof(f2113,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ5_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f128,f469]) ).
fof(f2115,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ greater(e_1,X2)
| ~ greater(X0,e_2)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f128,f66]) ).
fof(f2117,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f128,f60]) ).
fof(f2118,plain,
( ~ sQ105_spl
| ~ sQ5_spl
| sQ211_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2107,f2020,f1930,f127,f560]) ).
fof(f2119,definition,
( sQ229_spl
<=> greater(e_0,e_1) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2121,plain,
( sQ229_spl
| ~ greater(e_0,e_1) ),
inference(component_clause,[status(thm)],[f2119]) ).
fof(f2122,plain,
( ~ sQ103_spl
| ~ sQ5_spl
| ~ sQ229_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f2108,f2042,f2119,f127,f548]) ).
fof(f2123,plain,
( ~ sQ100_spl
| ~ sQ5_spl
| sQ213_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f2109,f2042,f1944,f127,f534]) ).
fof(f2124,plain,
( ~ sQ99_spl
| ~ sQ5_spl
| sQ211_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f2110,f2042,f1930,f127,f525]) ).
fof(f2125,plain,
( ~ sQ98_spl
| ~ sQ5_spl
| sQ205_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f2111,f2042,f1864,f127,f516]) ).
fof(f2126,plain,
( ~ sQ97_spl
| ~ sQ5_spl
| sQ205_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2112,f2020,f1864,f127,f507]) ).
fof(f2127,plain,
( ~ sQ92_spl
| ~ sQ5_spl
| sQ205_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f2113,f1953,f1864,f127,f468]) ).
fof(f2150,plain,
( ~ sQ103_spl
| ~ sQ1_spl
| ~ greater(e_0,e_1)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f115,f549]) ).
fof(f2151,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ1_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f115,f535]) ).
fof(f2152,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ1_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f115,f526]) ).
fof(f2153,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ1_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f115,f517]) ).
fof(f2154,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ1_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f115,f508]) ).
fof(f2160,plain,
( ~ sQ103_spl
| ~ sQ1_spl
| ~ sQ229_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f2150,f2038,f2119,f114,f548]) ).
fof(f2161,plain,
( ~ sQ100_spl
| ~ sQ1_spl
| sQ213_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f2151,f2038,f1944,f114,f534]) ).
fof(f2162,plain,
( ~ sQ99_spl
| ~ sQ1_spl
| sQ211_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f2152,f2038,f1930,f114,f525]) ).
fof(f2163,plain,
( ~ sQ98_spl
| ~ sQ1_spl
| sQ205_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f2153,f2038,f1864,f114,f516]) ).
fof(f2164,plain,
( ~ sQ97_spl
| ~ sQ1_spl
| sQ205_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f2154,f2016,f1864,f114,f507]) ).
fof(f2175,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ greater(e_2,X2)
| ~ greater(X0,e_3)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f118,f66]) ).
fof(f2177,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_2,X0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f118,f60]) ).
fof(f2186,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ106_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f570,f118]) ).
fof(f2187,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ106_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f570,f125]) ).
fof(f2188,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ106_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f570,f138]) ).
fof(f2189,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f570,f62]) ).
fof(f2190,plain,
( ~ sQ2_spl
| ~ sQ106_spl
| sQ219_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f2186,f2016,f1994,f569,f117]) ).
fof(f2191,plain,
( ~ sQ4_spl
| ~ sQ106_spl
| sQ212_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2187,f2020,f1939,f569,f124]) ).
fof(f2192,plain,
( ~ sQ8_spl
| ~ sQ106_spl
| sQ212_spl
| ~ sQ223_spl ),
inference(split_clause,[status(thm)],[f2188,f2024,f1939,f569,f137]) ).
fof(f2193,plain,
( ~ sQ106_spl
| sQ212_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f2189,f2028,f1939,f569]) ).
fof(f2194,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ109_spl
| equalish(e_0,X0)
| ~ next(e_2,X0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f587,f118]) ).
fof(f2195,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ109_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f587,f125]) ).
fof(f2196,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ109_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f587,f138]) ).
fof(f2197,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f587,f62]) ).
fof(f2198,plain,
( ~ sQ2_spl
| ~ sQ109_spl
| sQ220_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f2194,f2016,f2005,f586,f117]) ).
fof(f2199,plain,
( ~ sQ4_spl
| ~ sQ109_spl
| sQ102_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2195,f2020,f543,f586,f124]) ).
fof(f2200,plain,
( ~ sQ8_spl
| ~ sQ109_spl
| sQ102_spl
| ~ sQ223_spl ),
inference(split_clause,[status(thm)],[f2196,f2024,f543,f586,f137]) ).
fof(f2201,plain,
( ~ sQ109_spl
| sQ102_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f2197,f2028,f543,f586]) ).
fof(f2202,plain,
( ~ sQ2_spl
| ~ sQ107_spl
| ~ greater(e_0,e_2)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f579,f118]) ).
fof(f2203,plain,
( ~ sQ4_spl
| ~ sQ107_spl
| ~ greater(e_0,e_0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f579,f125]) ).
fof(f2204,plain,
( ~ sQ8_spl
| ~ sQ107_spl
| ~ greater(e_0,e_0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f579,f138]) ).
fof(f2205,plain,
( ~ sQ107_spl
| ~ greater(e_0,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f579,f62]) ).
fof(f2206,plain,
( ~ sQ2_spl
| ~ sQ107_spl
| ~ sQ228_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f2202,f2016,f2072,f578,f117]) ).
fof(f2207,plain,
( ~ sQ4_spl
| ~ sQ107_spl
| ~ sQ81_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2203,f2020,f400,f578,f124]) ).
fof(f2208,plain,
( ~ sQ8_spl
| ~ sQ107_spl
| ~ sQ81_spl
| ~ sQ223_spl ),
inference(split_clause,[status(thm)],[f2204,f2024,f400,f578,f137]) ).
fof(f2209,plain,
( ~ sQ107_spl
| ~ sQ81_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f2205,f2028,f400,f578]) ).
fof(f2210,plain,
( ~ sQ147_spl
| ~ sQ37_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f244,f1007]) ).
fof(f2211,plain,
( ~ sQ150_spl
| ~ sQ37_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f244,f1048]) ).
fof(f2212,plain,
( ~ sQ149_spl
| ~ sQ37_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f244,f1042]) ).
fof(f2213,plain,
( ~ sQ152_spl
| ~ sQ37_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f244,f1067]) ).
fof(f2214,plain,
( ~ sQ151_spl
| ~ sQ37_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f244,f1062]) ).
fof(f2215,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ37_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f244,f1381]) ).
fof(f2216,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ37_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f244,f1380]) ).
fof(f2217,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f244,f100]) ).
fof(f2218,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f244,f99]) ).
fof(f2219,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f244,f92]) ).
fof(f2220,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f244,f90]) ).
fof(f2221,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f244,f88]) ).
fof(f2222,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f244,f97]) ).
fof(f2223,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f244,f95]) ).
fof(f2224,plain,
( ~ sQ152_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2213,f93]) ).
fof(f2225,plain,
( ~ sQ152_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f2224]) ).
fof(f2226,plain,
( ~ sQ151_spl
| ~ sQ37_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2214,f259,f243,f1061]) ).
fof(f2227,definition,
! [X0] :
( sQ230_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2228,plain,
! [X0] :
( ~ sQ230_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f2227]) ).
fof(f2230,plain,
( ~ sQ57_spl
| ~ sQ37_spl
| sQ131_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2215,f2227,f801,f243,f316]) ).
fof(f2231,plain,
( ~ sQ57_spl
| ~ sQ37_spl
| sQ112_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2216,f2227,f623,f243,f316]) ).
fof(f2232,definition,
! [X0] :
( sQ231_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2233,plain,
! [X0] :
( ~ sQ231_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f2232]) ).
fof(f2235,plain,
( ~ sQ37_spl
| sQ118_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2217,f2232,f672,f243]) ).
fof(f2236,plain,
( ~ sQ37_spl
| sQ117_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2218,f2232,f668,f243]) ).
fof(f2237,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2222,f244]) ).
fof(f2238,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2222,f93]) ).
fof(f2239,definition,
! [X0] :
( sQ232_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2240,plain,
! [X0] :
( ~ sQ232_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f2239]) ).
fof(f2242,plain,
( ~ sQ37_spl
| sQ130_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f2237,f2239,f797,f243]) ).
fof(f2243,plain,
( ~ sQ37_spl
| sQ128_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2238,f2232,f781,f243]) ).
fof(f2244,plain,
! [X0] :
( ~ sQ232_spl
| ~ product(X0,e_3,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f2240]) ).
fof(f2245,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2223,f244]) ).
fof(f2246,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2223,f93]) ).
fof(f2247,plain,
( ~ sQ37_spl
| sQ139_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f2245,f2239,f896,f243]) ).
fof(f2248,plain,
( ~ sQ37_spl
| sQ126_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2246,f2232,f753,f243]) ).
fof(f2255,plain,
( ~ sQ180_spl
| ~ sQ52_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f301,f1579]) ).
fof(f2256,plain,
( ~ sQ181_spl
| ~ sQ52_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f301,f1585]) ).
fof(f2271,plain,
( ~ sQ23_spl
| ~ sQ19_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f179,f612]) ).
fof(f2273,plain,
( ~ sQ192_spl
| ~ sQ19_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f179,f1735]) ).
fof(f2275,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ19_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f179,f1003]) ).
fof(f2276,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ19_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f179,f1004]) ).
fof(f2277,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ19_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f179,f615]) ).
fof(f2278,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ19_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f179,f614]) ).
fof(f2279,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f179,f701]) ).
fof(f2280,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f179,f700]) ).
fof(f2288,plain,
( ~ sQ23_spl
| ~ sQ19_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f2271,f753,f178,f191]) ).
fof(f2289,plain,
( ~ sQ27_spl
| ~ sQ19_spl
| sQ128_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f2275,f1061,f781,f178,f207]) ).
fof(f2290,plain,
( ~ sQ27_spl
| ~ sQ19_spl
| sQ117_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f2276,f1061,f668,f178,f207]) ).
fof(f2291,definition,
! [X0] :
( sQ233_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2292,plain,
! [X0] :
( ~ sQ233_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f2291]) ).
fof(f2294,plain,
( ~ sQ23_spl
| ~ sQ19_spl
| sQ130_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f2277,f2291,f797,f178,f191]) ).
fof(f2295,plain,
( ~ sQ23_spl
| ~ sQ19_spl
| sQ126_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f2278,f2291,f753,f178,f191]) ).
fof(f2296,plain,
( ~ sQ19_spl
| sQ130_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f2279,f789,f797,f178]) ).
fof(f2297,plain,
( ~ sQ19_spl
| sQ123_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f2280,f789,f735,f178]) ).
fof(f2300,plain,
( ~ sQ16_spl
| ~ sQ186_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f170,f1694]) ).
fof(f2301,plain,
( ~ sQ16_spl
| ~ sQ186_spl ),
inference(contradiction_clause,[status(thm)],[f2300]) ).
fof(f2302,plain,
( ~ sQ37_spl
| ~ sQ49_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f291,f2220]) ).
fof(f2303,plain,
( ~ sQ57_spl
| ~ sQ49_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f291,f1377]) ).
fof(f2304,plain,
( ~ sQ182_spl
| ~ sQ49_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f291,f1591]) ).
fof(f2305,plain,
( ~ sQ183_spl
| ~ sQ49_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f291,f1596]) ).
fof(f2306,plain,
( ~ sQ179_spl
| ~ sQ49_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f291,f1574]) ).
fof(f2307,plain,
( ~ sQ175_spl
| ~ sQ49_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f291,f1473]) ).
fof(f2308,plain,
( ~ sQ176_spl
| ~ sQ49_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f291,f1487]) ).
fof(f2309,plain,
( ~ sQ177_spl
| ~ sQ49_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f291,f1492]) ).
fof(f2310,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ49_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f291,f1381]) ).
fof(f2311,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ49_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f291,f1380]) ).
fof(f2312,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f291,f100]) ).
fof(f2313,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f291,f99]) ).
fof(f2314,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f291,f92]) ).
fof(f2315,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f291,f90]) ).
fof(f2316,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f291,f88]) ).
fof(f2317,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f291,f97]) ).
fof(f2318,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f291,f95]) ).
fof(f2319,plain,
( ~ sQ37_spl
| ~ sQ49_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f2302,f1086,f290,f243]) ).
fof(f2320,plain,
( ~ sQ57_spl
| ~ sQ49_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f2303,f801,f290,f316]) ).
fof(f2321,plain,
( ~ sQ177_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2309,f93]) ).
fof(f2322,plain,
( ~ sQ177_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f2321]) ).
fof(f2323,definition,
! [X0] :
( sQ234_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2324,plain,
! [X0] :
( ~ sQ234_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2323]) ).
fof(f2326,plain,
( ~ sQ50_spl
| sQ131_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f1540,f2323,f801,f293]) ).
fof(f2327,plain,
( ~ sQ50_spl
| sQ154_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f1541,f2323,f1086,f293]) ).
fof(f2328,plain,
( ~ sQ171_spl
| ~ sQ50_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1536,f259,f293,f1398]) ).
fof(f2329,plain,
( ~ sQ26_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f1020,f781,f204]) ).
fof(f2330,definition,
! [X0] :
( sQ235_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2331,plain,
! [X0] :
( ~ sQ235_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2330]) ).
fof(f2333,plain,
( ~ sQ26_spl
| sQ128_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f1021,f2330,f781,f204]) ).
fof(f2334,plain,
( ~ sQ26_spl
| sQ130_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f1022,f2330,f797,f204]) ).
fof(f2355,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1545,f93]) ).
fof(f2356,plain,
( ~ sQ50_spl
| sQ112_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f2355,f2323,f623,f293]) ).
fof(f2357,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1546,f93]) ).
fof(f2358,plain,
( ~ sQ50_spl
| sQ125_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f2357,f2323,f749,f293]) ).
fof(f2359,plain,
( ~ sQ52_spl
| ~ sQ234_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f2324,f301]) ).
fof(f2360,plain,
( ~ sQ235_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f2331,f93]) ).
fof(f2387,plain,
( ~ sQ182_spl
| ~ sQ57_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f317,f1591]) ).
fof(f2388,plain,
( ~ sQ183_spl
| ~ sQ57_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f317,f1596]) ).
fof(f2389,plain,
( ~ sQ179_spl
| ~ sQ57_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f317,f1574]) ).
fof(f2390,plain,
( ~ sQ175_spl
| ~ sQ57_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f317,f1473]) ).
fof(f2391,plain,
( ~ sQ176_spl
| ~ sQ57_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f317,f1487]) ).
fof(f2392,plain,
( ~ sQ177_spl
| ~ sQ57_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f317,f1492]) ).
fof(f2393,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f317,f1381]) ).
fof(f2394,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f317,f1380]) ).
fof(f2402,plain,
( ~ sQ183_spl
| ~ sQ57_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2388,f169,f316,f1595]) ).
fof(f2403,definition,
! [X0] :
( sQ236_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2404,plain,
! [X0] :
( ~ sQ236_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f2403]) ).
fof(f2406,plain,
( ~ sQ57_spl
| sQ130_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f2393,f2403,f797,f316]) ).
fof(f2407,plain,
( ~ sQ57_spl
| sQ174_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f2394,f2403,f1467,f316]) ).
fof(f2410,plain,
! [X0] :
( ~ sQ236_spl
| ~ product(X0,e_4,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f2404]) ).
fof(f2411,plain,
( ~ sQ68_spl
| ~ sQ232_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f357,f2244]) ).
fof(f2412,plain,
( ~ sQ68_spl
| ~ sQ232_spl ),
inference(contradiction_clause,[status(thm)],[f2411]) ).
fof(f2413,definition,
! [X0] :
( sQ237_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f2414,plain,
! [X0] :
( ~ sQ237_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f2413]) ).
fof(f2416,plain,
( ~ sQ49_spl
| sQ118_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f2312,f2413,f672,f290]) ).
fof(f2417,plain,
( ~ sQ49_spl
| sQ142_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f2313,f2413,f915,f290]) ).
fof(f2418,plain,
( ~ sQ176_spl
| ~ sQ49_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2308,f259,f290,f1486]) ).
fof(f2419,plain,
( ~ sQ38_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f1293,f801,f246]) ).
fof(f2420,definition,
! [X0] :
( sQ238_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2421,plain,
! [X0] :
( ~ sQ238_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2420]) ).
fof(f2423,plain,
( ~ sQ38_spl
| sQ131_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f1294,f2420,f801,f246]) ).
fof(f2424,plain,
( ~ sQ38_spl
| sQ130_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f1295,f2420,f797,f246]) ).
fof(f2425,plain,
( ~ sQ54_spl
| ~ sQ236_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f307,f2410]) ).
fof(f2426,plain,
( ~ sQ54_spl
| ~ sQ236_spl ),
inference(contradiction_clause,[status(thm)],[f2425]) ).
fof(f2427,plain,
( ~ sQ238_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f2421,f93]) ).
fof(f2479,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ sQ8_spl
| ~ greater(e_0,X1)
| ~ greater(e_2,e_1)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f1889,f125]) ).
fof(f2480,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ greater(e_0,X1)
| ~ greater(e_1,e_1)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f1889,f138]) ).
fof(f2481,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ greater(e_0,X1)
| ~ greater(e_4,e_1)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f1889,f62]) ).
fof(f2482,definition,
( sQ239_spl
<=> greater(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2484,plain,
( sQ239_spl
| ~ greater(e_2,e_1) ),
inference(component_clause,[status(thm)],[f2482]) ).
fof(f2485,plain,
( ~ sQ4_spl
| ~ sQ8_spl
| ~ sQ239_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f2479,f1908,f2482,f137,f124]) ).
fof(f2486,plain,
( ~ sQ8_spl
| ~ sQ82_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f2480,f1892,f406,f137]) ).
fof(f2487,plain,
( ~ sQ8_spl
| ~ sQ155_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2481,f548,f1110,f137]) ).
fof(f2488,plain,
( sQ239_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2484,f53]) ).
fof(f2489,plain,
sQ239_spl,
inference(contradiction_clause,[status(thm)],[f2488]) ).
fof(f2497,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ greater(e_1,X2)
| ~ greater(X0,e_2)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f128,f66]) ).
fof(f2499,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f128,f60]) ).
fof(f2509,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ207_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f1899,f128]) ).
fof(f2510,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ207_spl
| equalish(e_0,X0)
| ~ next(e_2,X0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f1899,f118]) ).
fof(f2511,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ207_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f1899,f138]) ).
fof(f2512,plain,
! [X0] :
( ~ sQ207_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f1899,f62]) ).
fof(f2513,definition,
! [X0] :
( sQ240_spl
<=> ( equalish(e_0,X0)
| ~ next(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2514,plain,
! [X0] :
( ~ sQ240_spl
| equalish(e_0,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f2513]) ).
fof(f2516,plain,
( ~ sQ5_spl
| ~ sQ207_spl
| sQ240_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f2509,f1846,f2513,f1898,f127]) ).
fof(f2517,plain,
( ~ sQ2_spl
| ~ sQ207_spl
| sQ220_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f2510,f1842,f2005,f1898,f117]) ).
fof(f2518,plain,
( ~ sQ8_spl
| ~ sQ207_spl
| sQ102_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f2511,f1835,f543,f1898,f137]) ).
fof(f2519,plain,
( ~ sQ207_spl
| sQ102_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f2512,f1850,f543,f1898]) ).
fof(f2520,plain,
( ~ sQ5_spl
| ~ sQ206_spl
| ~ greater(e_0,e_1)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f1893,f128]) ).
fof(f2521,plain,
( ~ sQ2_spl
| ~ sQ206_spl
| ~ greater(e_0,e_2)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f1893,f118]) ).
fof(f2522,plain,
( ~ sQ8_spl
| ~ sQ206_spl
| ~ greater(e_0,e_0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f1893,f138]) ).
fof(f2523,plain,
( ~ sQ206_spl
| ~ greater(e_0,e_0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f1893,f62]) ).
fof(f2524,plain,
( ~ sQ5_spl
| ~ sQ206_spl
| ~ sQ229_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f2520,f1846,f2119,f1892,f127]) ).
fof(f2525,plain,
( ~ sQ2_spl
| ~ sQ206_spl
| ~ sQ228_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f2521,f1842,f2072,f1892,f117]) ).
fof(f2526,plain,
( ~ sQ8_spl
| ~ sQ206_spl
| ~ sQ81_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f2522,f1835,f400,f1892,f137]) ).
fof(f2527,plain,
( ~ sQ206_spl
| ~ sQ81_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f2523,f1850,f400,f1892]) ).
fof(f2532,plain,
( ~ sQ206_spl
| ~ sQ1_spl
| ~ greater(e_0,e_1)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f115,f1893]) ).
fof(f2543,plain,
( ~ sQ206_spl
| ~ sQ1_spl
| ~ sQ229_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f2532,f1842,f2119,f114,f1892]) ).
fof(f2552,plain,
( ~ sQ206_spl
| ~ sQ6_spl
| ~ greater(e_0,e_2)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f131,f1893]) ).
fof(f2563,plain,
( ~ sQ206_spl
| ~ sQ6_spl
| ~ sQ228_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f2552,f1846,f2072,f130,f1892]) ).
fof(f2574,plain,
( ~ sQ206_spl
| ~ sQ4_spl
| ~ greater(e_0,e_0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f125,f1893]) ).
fof(f2584,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_0,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f125,f60]) ).
fof(f2587,plain,
( ~ sQ206_spl
| ~ sQ4_spl
| ~ sQ81_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f2574,f1846,f400,f124,f1892]) ).
fof(f2604,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ greater(e_2,X2)
| ~ greater(X0,e_3)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f118,f66]) ).
fof(f2606,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_2,X0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f118,f60]) ).
fof(f2616,plain,
( ~ sQ2_spl
| ~ sQ208_spl
| ~ greater(e_0,e_2)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f1909,f118]) ).
fof(f2617,plain,
( ~ sQ4_spl
| ~ sQ208_spl
| ~ greater(e_0,e_0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f1909,f125]) ).
fof(f2618,plain,
( ~ sQ8_spl
| ~ sQ208_spl
| ~ greater(e_0,e_0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f1909,f138]) ).
fof(f2619,plain,
( ~ sQ208_spl
| ~ greater(e_0,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f1909,f62]) ).
fof(f2620,plain,
( ~ sQ2_spl
| ~ sQ208_spl
| ~ sQ228_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f2616,f1961,f2072,f1908,f117]) ).
fof(f2621,plain,
( ~ sQ4_spl
| ~ sQ208_spl
| ~ sQ81_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f2617,f1953,f400,f1908,f124]) ).
fof(f2622,plain,
( ~ sQ8_spl
| ~ sQ208_spl
| ~ sQ81_spl
| ~ sQ215_spl ),
inference(split_clause,[status(thm)],[f2618,f1957,f400,f1908,f137]) ).
fof(f2623,plain,
( ~ sQ208_spl
| ~ sQ81_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f2619,f1965,f400,f1908]) ).
fof(f2624,plain,
( ~ sQ208_spl
| ~ sQ1_spl
| ~ greater(e_0,e_1)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f115,f1909]) ).
fof(f2636,plain,
( ~ sQ208_spl
| ~ sQ1_spl
| ~ sQ229_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f2624,f1961,f2119,f114,f1908]) ).
fof(f2646,plain,
( ~ sQ165_spl
| ~ sQ68_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f357,f1281]) ).
fof(f2647,plain,
( ~ sQ164_spl
| ~ sQ68_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f357,f1276]) ).
fof(f2648,plain,
( ~ sQ167_spl
| ~ sQ68_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f357,f1323]) ).
fof(f2649,plain,
( ~ sQ168_spl
| ~ sQ68_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f357,f1329]) ).
fof(f2650,plain,
( ~ sQ231_spl
| ~ sQ68_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f357,f2233]) ).
fof(f2651,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ68_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f357,f1484]) ).
fof(f2652,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ68_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f357,f1485]) ).
fof(f2653,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ68_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f357,f744]) ).
fof(f2654,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ68_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f357,f745]) ).
fof(f2655,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f357,f100]) ).
fof(f2656,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f357,f99]) ).
fof(f2657,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f357,f92]) ).
fof(f2658,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f357,f90]) ).
fof(f2659,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_1,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f357,f88]) ).
fof(f2660,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f357,f97]) ).
fof(f2661,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f357,f95]) ).
fof(f2662,plain,
( ~ sQ167_spl
| ~ sQ68_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f2648,f375,f356,f1322]) ).
fof(f2663,definition,
! [X0] :
( sQ241_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2664,plain,
! [X0] :
( ~ sQ241_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f2663]) ).
fof(f2666,plain,
( ~ sQ52_spl
| ~ sQ68_spl
| sQ112_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f2651,f2663,f623,f356,f300]) ).
fof(f2667,plain,
( ~ sQ52_spl
| ~ sQ68_spl
| sQ142_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f2652,f2663,f915,f356,f300]) ).
fof(f2668,plain,
( ~ sQ16_spl
| ~ sQ68_spl
| sQ117_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f2653,f1767,f668,f356,f169]) ).
fof(f2669,plain,
( ~ sQ16_spl
| ~ sQ68_spl
| sQ154_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f2654,f1767,f1086,f356,f169]) ).
fof(f2670,definition,
! [X0] :
( sQ242_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2671,plain,
! [X0] :
( ~ sQ242_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2670]) ).
fof(f2673,plain,
( ~ sQ68_spl
| sQ141_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f2655,f2670,f908,f356]) ).
fof(f2674,plain,
( ~ sQ68_spl
| sQ125_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f2656,f2670,f749,f356]) ).
fof(f2675,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2660,f357]) ).
fof(f2676,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2660,f93]) ).
fof(f2677,definition,
! [X0] :
( sQ243_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2678,plain,
! [X0] :
( ~ sQ243_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f2677]) ).
fof(f2680,plain,
( ~ sQ68_spl
| sQ130_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f2675,f2677,f797,f356]) ).
fof(f2681,plain,
( ~ sQ68_spl
| sQ131_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f2676,f2670,f801,f356]) ).
fof(f2682,plain,
! [X0] :
( ~ sQ243_spl
| ~ product(X0,e_3,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f2678]) ).
fof(f2683,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2661,f357]) ).
fof(f2684,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2661,f93]) ).
fof(f2685,plain,
( ~ sQ68_spl
| sQ174_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f2683,f2677,f1467,f356]) ).
fof(f2686,plain,
( ~ sQ68_spl
| sQ113_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f2684,f2670,f627,f356]) ).
fof(f2693,plain,
( ~ sQ162_spl
| ~ sQ16_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f170,f1235]) ).
fof(f2694,plain,
( ~ sQ159_spl
| ~ sQ16_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f170,f1185]) ).
fof(f2695,plain,
( ~ sQ161_spl
| ~ sQ16_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f170,f1230]) ).
fof(f2696,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ16_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f170,f1484]) ).
fof(f2697,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ16_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f170,f1485]) ).
fof(f2707,plain,
( ~ sQ52_spl
| ~ sQ16_spl
| sQ121_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f2696,f1486,f706,f169,f300]) ).
fof(f2708,plain,
( ~ sQ52_spl
| ~ sQ16_spl
| sQ117_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f2697,f1486,f668,f169,f300]) ).
fof(f2714,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ23_spl
| equalish(e_4,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f192,f504]) ).
fof(f2717,plain,
( ~ sQ189_spl
| ~ sQ23_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f192,f1663]) ).
fof(f2719,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ23_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f192,f1003]) ).
fof(f2720,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ23_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f192,f1004]) ).
fof(f2721,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ23_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f192,f1177]) ).
fof(f2722,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ23_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f192,f1176]) ).
fof(f2723,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f192,f615]) ).
fof(f2724,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f192,f614]) ).
fof(f2733,plain,
( ~ sQ27_spl
| ~ sQ23_spl
| sQ131_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f2719,f1041,f801,f191,f207]) ).
fof(f2734,plain,
( ~ sQ27_spl
| ~ sQ23_spl
| sQ117_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f2720,f1041,f668,f191,f207]) ).
fof(f2735,plain,
( ~ sQ43_spl
| ~ sQ23_spl
| sQ125_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f2721,f1234,f749,f191,f262]) ).
fof(f2736,plain,
( ~ sQ43_spl
| ~ sQ23_spl
| sQ118_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f2722,f1234,f672,f191,f262]) ).
fof(f2737,definition,
! [X0] :
( sQ244_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2738,plain,
! [X0] :
( ~ sQ244_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f2737]) ).
fof(f2740,plain,
( ~ sQ23_spl
| sQ130_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f2723,f2737,f797,f191]) ).
fof(f2741,plain,
( ~ sQ23_spl
| sQ139_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f2724,f2737,f896,f191]) ).
fof(f2744,plain,
! [X0] :
( ~ sQ244_spl
| ~ product(X0,e_1,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f2738]) ).
fof(f2748,plain,
( ~ sQ192_spl
| ~ sQ43_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f263,f1735]) ).
fof(f2749,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ43_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f263,f1003]) ).
fof(f2750,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ43_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f263,f1004]) ).
fof(f2751,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f263,f1177]) ).
fof(f2752,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f263,f1176]) ).
fof(f2760,definition,
! [X0] :
( sQ245_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2761,plain,
! [X0] :
( ~ sQ245_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f2760]) ).
fof(f2763,plain,
( ~ sQ27_spl
| ~ sQ43_spl
| sQ128_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f2749,f2760,f781,f262,f207]) ).
fof(f2764,plain,
( ~ sQ27_spl
| ~ sQ43_spl
| sQ118_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f2750,f2760,f672,f262,f207]) ).
fof(f2765,definition,
! [X0] :
( sQ246_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2766,plain,
! [X0] :
( ~ sQ246_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f2765]) ).
fof(f2768,plain,
( ~ sQ43_spl
| sQ139_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2751,f2765,f896,f262]) ).
fof(f2769,plain,
( ~ sQ43_spl
| sQ123_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2752,f2765,f735,f262]) ).
fof(f2772,plain,
! [X0] :
( ~ sQ246_spl
| ~ product(X0,e_2,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f2766]) ).
fof(f2773,plain,
( ~ sQ16_spl
| ~ sQ246_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f170,f2772]) ).
fof(f2774,plain,
( ~ sQ16_spl
| ~ sQ246_spl ),
inference(contradiction_clause,[status(thm)],[f2773]) ).
fof(f2792,plain,
( ~ sQ177_spl
| ~ sQ57_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f317,f1492]) ).
fof(f2794,plain,
( ~ sQ175_spl
| ~ sQ57_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f317,f1473]) ).
fof(f2795,plain,
( ~ sQ176_spl
| ~ sQ57_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f317,f1487]) ).
fof(f2798,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ57_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f317,f2222]) ).
fof(f2799,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ57_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f317,f2223]) ).
fof(f2809,plain,
( ~ sQ37_spl
| ~ sQ57_spl
| sQ154_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2798,f2227,f1086,f316,f243]) ).
fof(f2810,plain,
( ~ sQ37_spl
| ~ sQ57_spl
| sQ125_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2799,f2227,f749,f316,f243]) ).
fof(f2813,plain,
( ~ sQ27_spl
| ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f208,f2682]) ).
fof(f2814,plain,
( ~ sQ27_spl
| ~ sQ243_spl ),
inference(contradiction_clause,[status(thm)],[f2813]) ).
fof(f2840,plain,
( ~ sQ237_spl
| ~ sQ52_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f301,f2414]) ).
fof(f2843,plain,
( ~ sQ181_spl
| ~ sQ52_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f301,f1585]) ).
fof(f2855,plain,
( ~ sQ237_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2840,f93]) ).
fof(f2856,plain,
( ~ sQ237_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f2855]) ).
fof(f2866,plain,
( ~ sQ173_spl
| ~ sQ50_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f294,f1464]) ).
fof(f2867,plain,
( ~ sQ191_spl
| ~ sQ50_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f294,f1729]) ).
fof(f2868,plain,
( ~ sQ230_spl
| ~ sQ50_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f294,f2228]) ).
fof(f2870,plain,
( ~ sQ170_spl
| ~ sQ50_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f294,f1383]) ).
fof(f2871,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f294,f1546]) ).
fof(f2872,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f294,f1545]) ).
fof(f2880,plain,
( ~ sQ191_spl
| ~ sQ50_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2867,f262,f293,f1728]) ).
fof(f2881,definition,
! [X0] :
( sQ247_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2882,plain,
! [X0] :
( ~ sQ247_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2881]) ).
fof(f2884,plain,
( ~ sQ50_spl
| sQ139_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2871,f2881,f896,f293]) ).
fof(f2885,plain,
( ~ sQ50_spl
| sQ174_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2872,f2881,f1467,f293]) ).
fof(f2888,plain,
! [X0] :
( ~ sQ247_spl
| ~ product(X0,e_4,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f2882]) ).
fof(f2889,plain,
( ~ sQ52_spl
| ~ sQ247_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f301,f2888]) ).
fof(f2890,plain,
( ~ sQ52_spl
| ~ sQ247_spl ),
inference(contradiction_clause,[status(thm)],[f2889]) ).
fof(f2891,plain,
( ~ sQ37_spl
| ~ sQ245_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f2761,f244]) ).
fof(f2909,plain,
( ~ sQ68_spl
| ~ sQ165_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1281,f357]) ).
fof(f2910,plain,
( ~ sQ57_spl
| ~ sQ241_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f2664,f317]) ).
fof(f2912,plain,
( ~ sQ34_spl
| ~ sQ244_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f231,f2744]) ).
fof(f2913,plain,
( ~ sQ34_spl
| ~ sQ244_spl ),
inference(contradiction_clause,[status(thm)],[f2912]) ).
fof(f2915,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ23_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f615,f263]) ).
fof(f2918,plain,
( ~ sQ43_spl
| ~ sQ23_spl
| sQ131_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f2915,f1234,f801,f191,f262]) ).
fof(f2921,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ23_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f614,f263]) ).
fof(f2924,plain,
( ~ sQ43_spl
| ~ sQ23_spl
| sQ126_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f2921,f1234,f753,f191,f262]) ).
fof(f2927,plain,
( ~ sQ68_spl
| ~ sQ164_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f1276,f357]) ).
fof(f2928,plain,
( ~ sQ57_spl
| ~ sQ182_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f1591,f317]) ).
fof(f2929,plain,
( ~ sQ37_spl
| ~ sQ149_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f1042,f244]) ).
fof(f2931,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ77_spl
| equalish(e_2,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f386,f412]) ).
fof(f2932,plain,
( ~ sQ77_spl
| ~ greater(e_2,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f386,f67]) ).
fof(f2933,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ77_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f386,f1380]) ).
fof(f2934,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ77_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f386,f1381]) ).
fof(f2935,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ77_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f386,f2222]) ).
fof(f2936,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ77_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f386,f2223]) ).
fof(f2937,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f386,f100]) ).
fof(f2938,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f386,f99]) ).
fof(f2939,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f386,f92]) ).
fof(f2940,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f386,f90]) ).
fof(f2941,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f386,f88]) ).
fof(f2942,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f386,f97]) ).
fof(f2943,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f386,f95]) ).
fof(f2944,plain,
( ~ sQ77_spl
| ~ sQ209_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2932,f326,f1911,f385]) ).
fof(f2945,definition,
! [X0] :
( sQ248_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2946,plain,
! [X0] :
( ~ sQ248_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f2945]) ).
fof(f2948,plain,
( ~ sQ57_spl
| ~ sQ77_spl
| sQ113_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2933,f2945,f627,f385,f316]) ).
fof(f2949,plain,
( ~ sQ57_spl
| ~ sQ77_spl
| sQ154_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2934,f2945,f1086,f385,f316]) ).
fof(f2950,definition,
! [X0] :
( sQ249_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2951,plain,
! [X0] :
( ~ sQ249_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f2950]) ).
fof(f2953,plain,
( ~ sQ37_spl
| ~ sQ77_spl
| sQ131_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2935,f2950,f801,f385,f243]) ).
fof(f2954,plain,
( ~ sQ37_spl
| ~ sQ77_spl
| sQ141_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2936,f2950,f908,f385,f243]) ).
fof(f2955,definition,
! [X0] :
( sQ250_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2956,plain,
! [X0] :
( ~ sQ250_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f2955]) ).
fof(f2958,plain,
( ~ sQ77_spl
| sQ142_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2937,f2955,f915,f385]) ).
fof(f2959,plain,
( ~ sQ77_spl
| sQ118_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2938,f2955,f672,f385]) ).
fof(f2960,plain,
( ~ sQ68_spl
| ~ sQ249_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f2951,f357]) ).
fof(f2961,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ77_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2942,f244]) ).
fof(f2962,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ77_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2942,f317]) ).
fof(f2963,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2942,f386]) ).
fof(f2964,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2942,f93]) ).
fof(f2965,plain,
( ~ sQ37_spl
| ~ sQ77_spl
| sQ125_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2961,f2950,f749,f385,f243]) ).
fof(f2966,plain,
( ~ sQ57_spl
| ~ sQ77_spl
| sQ141_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2962,f2945,f908,f385,f316]) ).
fof(f2967,definition,
! [X0] :
( sQ251_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2968,plain,
! [X0] :
( ~ sQ251_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f2967]) ).
fof(f2970,plain,
( ~ sQ77_spl
| sQ139_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2963,f2967,f896,f385]) ).
fof(f2971,plain,
( ~ sQ77_spl
| sQ126_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2964,f2955,f753,f385]) ).
fof(f2972,plain,
! [X0] :
( ~ sQ251_spl
| ~ product(X0,e_1,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f2968]) ).
fof(f2973,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ77_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2943,f244]) ).
fof(f2974,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ77_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2943,f317]) ).
fof(f2975,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2943,f386]) ).
fof(f2976,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2943,f93]) ).
fof(f2977,plain,
( ~ sQ37_spl
| ~ sQ77_spl
| sQ113_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2973,f2950,f627,f385,f243]) ).
fof(f2978,plain,
( ~ sQ57_spl
| ~ sQ77_spl
| sQ112_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2974,f2945,f623,f385,f316]) ).
fof(f2979,plain,
( ~ sQ77_spl
| sQ174_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2975,f2967,f1467,f385]) ).
fof(f2980,plain,
( ~ sQ77_spl
| sQ121_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2976,f2955,f706,f385]) ).
fof(f2981,plain,
( ~ sQ250_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f2956,f93]) ).
fof(f2982,plain,
( ~ sQ50_spl
| ~ sQ248_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f2946,f294]) ).
fof(f2983,plain,
( ~ sQ23_spl
| ~ sQ251_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f192,f2972]) ).
fof(f2984,plain,
( ~ sQ23_spl
| ~ sQ251_spl ),
inference(contradiction_clause,[status(thm)],[f2983]) ).
fof(f2985,plain,
( ~ sQ250_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f2956,f93]) ).
fof(f3003,plain,
( ~ sQ50_spl
| ~ sQ248_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f2946,f294]) ).
fof(f3004,plain,
( ~ sQ68_spl
| ~ sQ249_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f2951,f357]) ).
fof(f3008,plain,
( ~ sQ233_spl
| ~ sQ74_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f376,f2292]) ).
fof(f3009,plain,
( ~ sQ158_spl
| ~ sQ74_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f376,f1180]) ).
fof(f3010,plain,
( ~ sQ124_spl
| ~ sQ74_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f376,f747]) ).
fof(f3011,plain,
( ~ sQ122_spl
| ~ sQ74_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f376,f732]) ).
fof(f3012,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ74_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f376,f1545]) ).
fof(f3013,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ74_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f376,f1546]) ).
fof(f3014,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f376,f100]) ).
fof(f3015,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f376,f99]) ).
fof(f3016,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f376,f92]) ).
fof(f3017,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f376,f90]) ).
fof(f3018,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_3,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f376,f88]) ).
fof(f3019,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f376,f97]) ).
fof(f3020,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f376,f95]) ).
fof(f3021,definition,
! [X0] :
( sQ252_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f3022,plain,
! [X0] :
( ~ sQ252_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f3021]) ).
fof(f3024,plain,
( ~ sQ50_spl
| ~ sQ74_spl
| sQ121_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f3012,f3021,f706,f375,f293]) ).
fof(f3025,plain,
( ~ sQ50_spl
| ~ sQ74_spl
| sQ141_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f3013,f3021,f908,f375,f293]) ).
fof(f3026,definition,
! [X0] :
( sQ253_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f3027,plain,
! [X0] :
( ~ sQ253_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f3026]) ).
fof(f3029,plain,
( ~ sQ74_spl
| sQ154_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f3014,f3026,f1086,f375]) ).
fof(f3030,plain,
( ~ sQ74_spl
| sQ128_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f3015,f3026,f781,f375]) ).
fof(f3031,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ74_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3019,f294]) ).
fof(f3032,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3019,f376]) ).
fof(f3033,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3019,f93]) ).
fof(f3034,plain,
( ~ sQ50_spl
| ~ sQ74_spl
| sQ142_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f3031,f3021,f915,f375,f293]) ).
fof(f3035,definition,
! [X0] :
( sQ254_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f3036,plain,
! [X0] :
( ~ sQ254_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f3035]) ).
fof(f3038,plain,
( ~ sQ74_spl
| sQ123_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f3032,f3035,f735,f375]) ).
fof(f3039,plain,
( ~ sQ74_spl
| sQ117_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f3033,f3026,f668,f375]) ).
fof(f3040,plain,
! [X0] :
( ~ sQ254_spl
| ~ product(X0,e_2,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f3036]) ).
fof(f3041,plain,
( ~ sQ43_spl
| ~ sQ254_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f263,f3040]) ).
fof(f3042,plain,
( ~ sQ43_spl
| ~ sQ254_spl ),
inference(contradiction_clause,[status(thm)],[f3041]) ).
fof(f3046,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ74_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3020,f294]) ).
fof(f3047,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3020,f376]) ).
fof(f3048,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3020,f93]) ).
fof(f3049,plain,
( ~ sQ50_spl
| ~ sQ74_spl
| sQ113_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f3046,f3021,f627,f375,f293]) ).
fof(f3050,plain,
( ~ sQ74_spl
| sQ174_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f3047,f3035,f1467,f375]) ).
fof(f3051,plain,
( ~ sQ74_spl
| sQ112_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f3048,f3026,f623,f375]) ).
fof(f3054,plain,
( ~ sQ162_spl
| ~ sQ16_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f170,f1235]) ).
fof(f3057,plain,
( ~ sQ161_spl
| ~ sQ16_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f170,f1230]) ).
fof(f3058,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ16_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f170,f2660]) ).
fof(f3059,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ16_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f170,f2661]) ).
fof(f3071,plain,
( ~ sQ68_spl
| ~ sQ16_spl
| sQ128_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f3058,f1767,f781,f169,f356]) ).
fof(f3072,plain,
( ~ sQ68_spl
| ~ sQ16_spl
| sQ112_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f3059,f1767,f623,f169,f356]) ).
fof(f3079,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ greater(e_0,X1)
| ~ greater(e_2,e_2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f491,f125]) ).
fof(f3080,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ sQ4_spl
| ~ greater(e_0,X1)
| ~ greater(e_1,e_2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f491,f138]) ).
fof(f3081,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ greater(e_0,X1)
| ~ greater(e_4,e_2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f491,f62]) ).
fof(f3082,plain,
( ~ sQ4_spl
| ~ sQ137_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f3079,f1908,f888,f124]) ).
fof(f3083,plain,
( ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ143_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f3080,f1892,f932,f124,f137]) ).
fof(f3084,plain,
( ~ sQ4_spl
| ~ sQ135_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f3081,f548,f861,f124]) ).
fof(f3086,plain,
( ~ sQ253_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f3027,f93]) ).
fof(f3096,plain,
( ~ sQ194_spl
| ~ sQ27_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f208,f1763]) ).
fof(f3098,plain,
( ~ sQ195_spl
| ~ sQ27_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f208,f1768]) ).
fof(f3099,plain,
( ~ sQ193_spl
| ~ sQ27_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f208,f1758]) ).
fof(f3100,plain,
( ~ sQ197_spl
| ~ sQ27_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f208,f1792]) ).
fof(f3101,plain,
( ~ sQ198_spl
| ~ sQ27_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f208,f1798]) ).
fof(f3102,plain,
( ~ sQ242_spl
| ~ sQ27_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f208,f2671]) ).
fof(f3103,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ27_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f208,f614]) ).
fof(f3104,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ27_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f208,f615]) ).
fof(f3105,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ27_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f208,f1176]) ).
fof(f3106,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ27_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f208,f1177]) ).
fof(f3107,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f208,f1003]) ).
fof(f3108,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f208,f1004]) ).
fof(f3116,plain,
( ~ sQ194_spl
| ~ sQ27_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f3096,f230,f207,f1762]) ).
fof(f3117,plain,
( ~ sQ23_spl
| ~ sQ27_spl
| sQ125_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f3103,f1041,f749,f207,f191]) ).
fof(f3118,plain,
( ~ sQ23_spl
| ~ sQ27_spl
| sQ128_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f3104,f1041,f781,f207,f191]) ).
fof(f3119,plain,
( ~ sQ43_spl
| ~ sQ27_spl
| sQ117_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f3105,f2760,f668,f207,f262]) ).
fof(f3120,plain,
( ~ sQ43_spl
| ~ sQ27_spl
| sQ126_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f3106,f2760,f753,f207,f262]) ).
fof(f3121,plain,
( ~ sQ27_spl
| sQ130_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f3107,f1073,f797,f207]) ).
fof(f3122,plain,
( ~ sQ27_spl
| sQ123_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f3108,f1073,f735,f207]) ).
fof(f3127,plain,
( ~ sQ252_spl
| ~ sQ52_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f301,f3022]) ).
fof(f3130,plain,
( ~ sQ181_spl
| ~ sQ52_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f301,f1585]) ).
fof(f3132,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ52_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f301,f2660]) ).
fof(f3133,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ52_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f301,f2661]) ).
fof(f3145,plain,
( ~ sQ68_spl
| ~ sQ52_spl
| sQ154_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f3132,f2663,f1086,f300,f356]) ).
fof(f3146,plain,
( ~ sQ68_spl
| ~ sQ52_spl
| sQ121_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f3133,f2663,f706,f300,f356]) ).
fof(f3153,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ34_spl
| equalish(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f231,f465]) ).
fof(f3154,plain,
( ~ sQ138_spl
| ~ sQ34_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f231,f893]) ).
fof(f3155,plain,
( ~ sQ34_spl
| ~ greater(e_3,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f231,f67]) ).
fof(f3156,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ34_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f231,f3019]) ).
fof(f3157,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ34_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f231,f3020]) ).
fof(f3158,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ34_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f231,f1545]) ).
fof(f3159,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ34_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f231,f1546]) ).
fof(f3160,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f231,f100]) ).
fof(f3161,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f231,f99]) ).
fof(f3162,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f231,f92]) ).
fof(f3163,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f231,f90]) ).
fof(f3164,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_3,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f231,f88]) ).
fof(f3165,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f231,f97]) ).
fof(f3166,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f231,f95]) ).
fof(f3167,definition,
( sQ255_spl
<=> greater(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f3169,plain,
( sQ255_spl
| ~ greater(e_3,e_2) ),
inference(component_clause,[status(thm)],[f3167]) ).
fof(f3170,plain,
( ~ sQ34_spl
| ~ sQ255_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3155,f124,f3167,f230]) ).
fof(f3171,definition,
! [X0] :
( sQ256_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f3172,plain,
! [X0] :
( ~ sQ256_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f3171]) ).
fof(f3174,plain,
( ~ sQ74_spl
| ~ sQ34_spl
| sQ118_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f3156,f3171,f672,f230,f375]) ).
fof(f3175,plain,
( ~ sQ74_spl
| ~ sQ34_spl
| sQ121_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f3157,f3171,f706,f230,f375]) ).
fof(f3176,definition,
! [X0] :
( sQ257_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f3177,plain,
! [X0] :
( ~ sQ257_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f3176]) ).
fof(f3179,plain,
( ~ sQ50_spl
| ~ sQ34_spl
| sQ113_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f3158,f3176,f627,f230,f293]) ).
fof(f3180,plain,
( ~ sQ50_spl
| ~ sQ34_spl
| sQ126_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f3159,f3176,f753,f230,f293]) ).
fof(f3181,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(f3182,plain,
! [X0] :
( ~ sQ258_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f3181]) ).
fof(f3184,plain,
( ~ sQ34_spl
| sQ128_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f3160,f3181,f781,f230]) ).
fof(f3185,plain,
( ~ sQ34_spl
| sQ131_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f3161,f3181,f801,f230]) ).
fof(f3186,plain,
( sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3169,f56]) ).
fof(f3187,plain,
sQ255_spl,
inference(contradiction_clause,[status(thm)],[f3186]) ).
fof(f3188,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3165,f231]) ).
fof(f3189,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ34_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3165,f294]) ).
fof(f3190,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ34_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3165,f376]) ).
fof(f3191,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3165,f93]) ).
fof(f3192,definition,
! [X0] :
( sQ259_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f3193,plain,
! [X0] :
( ~ sQ259_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f3192]) ).
fof(f3195,plain,
( ~ sQ34_spl
| sQ139_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f3188,f3192,f896,f230]) ).
fof(f3196,plain,
( ~ sQ50_spl
| ~ sQ34_spl
| sQ141_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f3189,f3176,f908,f230,f293]) ).
fof(f3197,plain,
( ~ sQ74_spl
| ~ sQ34_spl
| sQ126_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f3190,f3171,f753,f230,f375]) ).
fof(f3198,plain,
( ~ sQ34_spl
| sQ125_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f3191,f3181,f749,f230]) ).
fof(f3199,plain,
! [X0] :
( ~ sQ259_spl
| ~ product(X0,e_1,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f3193]) ).
fof(f3200,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3166,f231]) ).
fof(f3201,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ34_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3166,f294]) ).
fof(f3202,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ34_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3166,f376]) ).
fof(f3203,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3166,f93]) ).
fof(f3204,plain,
( ~ sQ34_spl
| sQ123_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f3200,f3192,f735,f230]) ).
fof(f3205,plain,
( ~ sQ50_spl
| ~ sQ34_spl
| sQ118_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f3201,f3176,f672,f230,f293]) ).
fof(f3206,plain,
( ~ sQ74_spl
| ~ sQ34_spl
| sQ142_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f3202,f3171,f915,f230,f375]) ).
fof(f3207,plain,
( ~ sQ34_spl
| sQ117_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f3203,f3181,f668,f230]) ).
fof(f3208,plain,
( ~ sQ258_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f3182,f93]) ).
fof(f3209,plain,
( ~ sQ52_spl
| ~ sQ257_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f3177,f301]) ).
fof(f3210,plain,
( ~ sQ77_spl
| ~ sQ259_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f386,f3199]) ).
fof(f3211,plain,
( ~ sQ77_spl
| ~ sQ259_spl ),
inference(contradiction_clause,[status(thm)],[f3210]) ).
fof(f3212,plain,
( ~ sQ258_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f3182,f93]) ).
fof(f3229,plain,
( ~ sQ52_spl
| ~ sQ257_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f3177,f301]) ).
fof(f3230,plain,
( ~ sQ34_spl
| ~ sQ138_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f893,f231]) ).
fof(f3231,plain,
( ~ sQ16_spl
| ~ sQ159_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1185,f170]) ).
fof(f3256,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ sQ1_spl
| ~ greater(e_1,X1)
| ~ greater(e_1,e_3)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f565,f138]) ).
fof(f3257,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ greater(e_1,X1)
| ~ greater(e_4,e_3)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f565,f62]) ).
fof(f3258,definition,
! [X0,X1] :
( sQ260_spl
<=> ( ~ greater(e_1,X1)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f3259,plain,
! [X0,X1] :
( ~ sQ260_spl
| ~ greater(e_1,X1)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f3258]) ).
fof(f3261,plain,
( ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ119_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f3256,f3258,f689,f114,f137]) ).
fof(f3262,definition,
! [X0,X1] :
( sQ261_spl
<=> ( ~ greater(e_1,X1)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f3263,plain,
! [X0,X1] :
( ~ sQ261_spl
| ~ greater(e_1,X1)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f3262]) ).
fof(f3265,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f3257,f3262,f616,f114]) ).
fof(f3267,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ106_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f570,f131]) ).
fof(f3268,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ106_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f570,f115]) ).
fof(f3271,plain,
( ~ sQ6_spl
| ~ sQ106_spl
| sQ219_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f3267,f2020,f1994,f569,f130]) ).
fof(f3272,plain,
( ~ sQ1_spl
| ~ sQ106_spl
| sQ213_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f3268,f2016,f1944,f569,f114]) ).
fof(f3279,plain,
( ~ sQ189_spl
| ~ sQ23_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f192,f1663]) ).
fof(f3305,plain,
( ~ sQ256_spl
| ~ sQ43_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f263,f3172]) ).
fof(f3307,plain,
( ~ sQ192_spl
| ~ sQ43_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f263,f1735]) ).
fof(f3329,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ sQ6_spl
| ~ greater(e_2,X1)
| ~ greater(e_1,e_2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f473,f138]) ).
fof(f3330,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ greater(e_2,X1)
| ~ greater(e_4,e_2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f473,f62]) ).
fof(f3331,definition,
! [X0,X1] :
( sQ262_spl
<=> ( ~ greater(e_2,X1)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f3332,plain,
! [X0,X1] :
( ~ sQ262_spl
| ~ greater(e_2,X1)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f3331]) ).
fof(f3334,plain,
( ~ sQ8_spl
| ~ sQ6_spl
| ~ sQ143_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f3329,f3331,f932,f130,f137]) ).
fof(f3335,definition,
! [X0,X1] :
( sQ263_spl
<=> ( ~ greater(e_2,X1)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f3336,plain,
! [X0,X1] :
( ~ sQ263_spl
| ~ greater(e_2,X1)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f3335]) ).
fof(f3338,plain,
( ~ sQ6_spl
| ~ sQ135_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f3330,f3335,f861,f130]) ).
fof(f3340,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ93_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f478,f131]) ).
fof(f3341,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ93_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f478,f115]) ).
fof(f3344,plain,
( ~ sQ6_spl
| ~ sQ93_spl
| sQ218_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f3340,f1953,f1983,f477,f130]) ).
fof(f3345,plain,
( ~ sQ1_spl
| ~ sQ93_spl
| sQ211_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f3341,f1961,f1930,f477,f114]) ).
fof(f3376,plain,
( ~ sQ204_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1854,f45]) ).
fof(f3377,plain,
( ~ sQ204_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f3376,f801,f1853]) ).
fof(f3384,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ greater(e_2,X2)
| ~ greater(X0,e_3)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f118,f66]) ).
fof(f3386,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_2,X0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f118,f60]) ).
fof(f3394,plain,
( ~ sQ205_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1865,f46]) ).
fof(f3395,plain,
( ~ sQ205_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f3394,f781,f1864]) ).
fof(f3396,plain,
( ~ sQ210_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1926,f45]) ).
fof(f3397,plain,
( ~ sQ210_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f3396,f672,f1925]) ).
fof(f3418,plain,
( ~ sQ213_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1945,f46]) ).
fof(f3419,plain,
( ~ sQ213_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f3418,f753,f1944]) ).
fof(f3420,plain,
( ~ sQ218_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1984,f47]) ).
fof(f3421,plain,
( ~ sQ218_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f3420,f668,f1983]) ).
fof(f3431,plain,
( ~ sQ219_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1995,f47]) ).
fof(f3432,plain,
( ~ sQ219_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f3431,f749,f1994]) ).
fof(f3433,plain,
( ~ sQ220_spl
| equalish(e_0,e_3) ),
inference(resolution,[status(thm)],[f2006,f47]) ).
fof(f3434,plain,
( ~ sQ240_spl
| equalish(e_0,e_2) ),
inference(resolution,[status(thm)],[f2514,f46]) ).
fof(f3436,plain,
( ~ sQ1_spl
| ~ sQ261_spl
| ~ greater(e_1,e_1)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f3263,f115]) ).
fof(f3437,plain,
( ~ sQ6_spl
| ~ sQ261_spl
| ~ greater(e_1,e_2)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f3263,f131]) ).
fof(f3438,plain,
( ~ sQ8_spl
| ~ sQ261_spl
| ~ greater(e_1,e_0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f3263,f138]) ).
fof(f3439,plain,
( ~ sQ261_spl
| ~ greater(e_1,e_0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f3263,f62]) ).
fof(f3440,plain,
( ~ sQ1_spl
| ~ sQ261_spl
| ~ sQ82_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f3436,f2038,f406,f3262,f114]) ).
fof(f3441,plain,
( ~ sQ6_spl
| ~ sQ261_spl
| ~ sQ143_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f3437,f2042,f932,f3262,f130]) ).
fof(f3442,plain,
( ~ sQ8_spl
| ~ sQ261_spl
| ~ sQ89_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f3438,f2046,f450,f3262,f137]) ).
fof(f3443,plain,
( ~ sQ261_spl
| ~ sQ89_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f3439,f540,f450,f3262]) ).
fof(f3444,plain,
( ~ sQ1_spl
| ~ sQ260_spl
| ~ greater(e_1,e_1)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f3259,f115]) ).
fof(f3445,plain,
( ~ sQ6_spl
| ~ sQ260_spl
| ~ greater(e_1,e_2)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f3259,f131]) ).
fof(f3446,plain,
( ~ sQ8_spl
| ~ sQ260_spl
| ~ greater(e_1,e_0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f3259,f138]) ).
fof(f3447,plain,
( ~ sQ260_spl
| ~ greater(e_1,e_0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f3259,f62]) ).
fof(f3448,plain,
( ~ sQ1_spl
| ~ sQ260_spl
| ~ sQ82_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f3444,f1842,f406,f3258,f114]) ).
fof(f3449,plain,
( ~ sQ6_spl
| ~ sQ260_spl
| ~ sQ143_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f3445,f1846,f932,f3258,f130]) ).
fof(f3450,plain,
( ~ sQ8_spl
| ~ sQ260_spl
| ~ sQ89_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f3446,f1835,f450,f3258,f137]) ).
fof(f3451,plain,
( ~ sQ260_spl
| ~ sQ89_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f3447,f1850,f450,f3258]) ).
fof(f3468,plain,
( ~ sQ1_spl
| ~ sQ263_spl
| ~ greater(e_2,e_1)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f3336,f115]) ).
fof(f3469,plain,
( ~ sQ6_spl
| ~ sQ263_spl
| ~ greater(e_2,e_2)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f3336,f131]) ).
fof(f3470,plain,
( ~ sQ8_spl
| ~ sQ263_spl
| ~ greater(e_2,e_0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f3336,f138]) ).
fof(f3471,plain,
( ~ sQ263_spl
| ~ greater(e_2,e_0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f3336,f62]) ).
fof(f3472,plain,
( ~ sQ1_spl
| ~ sQ263_spl
| ~ sQ239_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f3468,f2038,f2482,f3335,f114]) ).
fof(f3473,plain,
( ~ sQ6_spl
| ~ sQ263_spl
| ~ sQ137_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f3469,f2042,f888,f3335,f130]) ).
fof(f3474,plain,
( ~ sQ8_spl
| ~ sQ263_spl
| ~ sQ87_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f3470,f2046,f436,f3335,f137]) ).
fof(f3475,plain,
( ~ sQ263_spl
| ~ sQ87_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f3471,f540,f436,f3335]) ).
fof(f3476,plain,
( ~ sQ1_spl
| ~ sQ262_spl
| ~ greater(e_2,e_1)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f3332,f115]) ).
fof(f3477,plain,
( ~ sQ6_spl
| ~ sQ262_spl
| ~ greater(e_2,e_2)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f3332,f131]) ).
fof(f3478,plain,
( ~ sQ8_spl
| ~ sQ262_spl
| ~ greater(e_2,e_0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f3332,f138]) ).
fof(f3479,plain,
( ~ sQ262_spl
| ~ greater(e_2,e_0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f3332,f62]) ).
fof(f3480,plain,
( ~ sQ1_spl
| ~ sQ262_spl
| ~ sQ239_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f3476,f1842,f2482,f3331,f114]) ).
fof(f3481,plain,
( ~ sQ6_spl
| ~ sQ262_spl
| ~ sQ137_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f3477,f1846,f888,f3331,f130]) ).
fof(f3482,plain,
( ~ sQ8_spl
| ~ sQ262_spl
| ~ sQ87_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f3478,f1835,f436,f3331,f137]) ).
fof(f3483,plain,
( ~ sQ262_spl
| ~ sQ87_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f3479,f1850,f436,f3331]) ).
fof(model,axiom,
( ~ sQ0_spl
| sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sQ6_spl
| ~ sQ7_spl
| sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| sQ14_spl
| ~ sQ15_spl
| sQ16_spl
| ~ sQ17_spl
| ~ sQ18_spl
| ~ sQ19_spl
| ~ sQ20_spl
| ~ sQ21_spl
| ~ sQ22_spl
| sQ23_spl
| ~ sQ24_spl
| ~ sQ25_spl
| ~ sQ26_spl
| sQ27_spl
| ~ sQ28_spl
| sQ29_spl
| ~ sQ31_spl
| ~ sQ32_spl
| ~ sQ33_spl
| sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| sQ37_spl
| ~ sQ38_spl
| ~ sQ39_spl
| ~ sQ40_spl
| ~ sQ41_spl
| ~ sQ42_spl
| sQ43_spl
| sQ44_spl
| ~ sQ46_spl
| ~ sQ47_spl
| ~ sQ48_spl
| ~ sQ49_spl
| sQ50_spl
| ~ sQ51_spl
| sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| ~ sQ56_spl
| sQ57_spl
| ~ sQ58_spl
| ~ sQ59_spl
| sQ60_spl
| ~ 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
| ~ sQ81_spl
| ~ sQ82_spl
| sQ83_spl
| ~ sQ84_spl
| sQ85_spl
| sQ87_spl
| sQ89_spl
| sQ91_spl
| ~ sQ92_spl
| sQ93_spl
| sQ96_spl
| ~ sQ97_spl
| sQ98_spl
| sQ99_spl
| sQ100_spl
| ~ sQ101_spl
| sQ102_spl
| sQ103_spl
| ~ sQ104_spl
| ~ sQ105_spl
| sQ106_spl
| ~ sQ108_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
| ~ sQ128_spl
| ~ sQ129_spl
| sQ130_spl
| ~ sQ131_spl
| sQ132_spl
| sQ135_spl
| ~ sQ136_spl
| ~ sQ137_spl
| sQ138_spl
| sQ139_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ143_spl
| ~ sQ144_spl
| sQ147_spl
| sQ148_spl
| sQ149_spl
| sQ150_spl
| ~ sQ152_spl
| ~ sQ153_spl
| ~ sQ154_spl
| sQ155_spl
| sQ157_spl
| sQ158_spl
| sQ159_spl
| sQ160_spl
| sQ161_spl
| sQ162_spl
| sQ163_spl
| sQ164_spl
| sQ165_spl
| ~ sQ166_spl
| ~ sQ167_spl
| sQ168_spl
| sQ169_spl
| sQ170_spl
| ~ sQ172_spl
| sQ173_spl
| sQ174_spl
| sQ175_spl
| sQ176_spl
| sQ177_spl
| sQ179_spl
| sQ180_spl
| sQ181_spl
| sQ182_spl
| ~ sQ183_spl
| ~ sQ184_spl
| ~ sQ185_spl
| ~ sQ186_spl
| sQ187_spl
| ~ sQ188_spl
| sQ189_spl
| sQ190_spl
| ~ sQ191_spl
| sQ192_spl
| sQ193_spl
| ~ sQ194_spl
| sQ195_spl
| sQ196_spl
| sQ197_spl
| sQ198_spl
| ~ sQ199_spl
| sQ200_spl
| ~ sQ201_spl
| sQ202_spl
| ~ sQ203_spl
| ~ sQ204_spl
| ~ sQ205_spl
| sQ206_spl
| ~ sQ209_spl
| ~ sQ210_spl
| sQ211_spl
| sQ212_spl
| ~ sQ213_spl
| ~ sQ214_spl
| ~ sQ215_spl
| sQ216_spl
| ~ sQ217_spl
| ~ sQ218_spl
| ~ sQ219_spl
| sQ220_spl
| ~ sQ221_spl
| ~ sQ222_spl
| ~ sQ223_spl
| sQ224_spl
| ~ sQ225_spl
| ~ sQ226_spl
| ~ sQ227_spl
| ~ sQ228_spl
| ~ sQ229_spl
| sQ230_spl
| sQ231_spl
| ~ sQ232_spl
| sQ233_spl
| sQ234_spl
| sQ235_spl
| ~ sQ237_spl
| sQ238_spl
| sQ239_spl
| sQ240_spl
| sQ241_spl
| sQ242_spl
| ~ sQ243_spl
| ~ sQ244_spl
| sQ245_spl
| ~ sQ246_spl
| ~ sQ247_spl
| sQ248_spl
| sQ249_spl
| sQ250_spl
| ~ sQ251_spl
| sQ252_spl
| sQ253_spl
| ~ sQ254_spl
| sQ255_spl
| sQ256_spl
| sQ257_spl
| sQ258_spl
| ~ sQ259_spl
| sQ260_spl
| sQ261_spl
| sQ263_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP123-3.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 19:58:20 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 1.11/0.60 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 1.11/0.60 % SZS output start Saturation for theBenchmark
% See solution above
% 1.11/0.64 % Elapsed time: 0.268062 seconds
% 1.11/0.64 % CPU time: 1.726010 seconds
% 1.11/0.64 % Total memory used: 40.074 MB
% 1.11/0.64 % Net memory used: 37.344 MB
%------------------------------------------------------------------------------